Flotte’s Outlines

 

Physics

 

 

History

Fundamental Interactions

   Gravity

   Electromagnetism

   Weak Interaction

   Strong Interaction

Classical Mechanics

Electricity

The Electromagnetic Spectrum

Relativity

Nuclear Physics

Radioactivity

Quantum Mechanics

 

 

Physics is the science concerned with the fundamental laws which govern matter and energy.

·         The culture of physics research differs from the other sciences in the separation of theory and experiment. Since the 20th century, most individual physicists have specialized in either theoretical physics or experimental physics. In contrast, almost all the successful theorists in biology and chemistry have also been experimentalists, though this is changing as of late.

 

 

Theory

Major subtopics

Concepts

Classical mechanics

Newton's laws of motion, Lagrangian mechanics, Hamiltonian mechanics, Kinematics, Statics, Dynamics, Chaos theory, Acoustics, Fluid dynamics, Continuum mechanics

Density, Dimension, Gravity, Space, Time, Motion, Length, Position, Velocity, Acceleration, Mass, Momentum, Force, Energy, Angular momentum, Torque, Conservation law, Harmonic oscillator, Wave, Work, Power

Electromagnetism

Electrostatics, Electrodynamics, Electricity, Magnetism, Maxwell's equations, Optics

Capacitance, Electric charge, Current, Electrical conductivity, Electric field, Electric permittivity, Electric potential, Electrical resistance, Electromagnetic field, Electromagnetic induction, Electromagnetic radiation, Gaussian surface, Magnetic field, Magnetic flux, Magnetic monopole, Magnetic permeability

Thermodynamics and Statistical mechanics

Heat engine, Kinetic theory

Boltzmann's constant, Conjugate variables, Enthalpy, Entropy, Equation of state, Equipartition theorem, Free energy, Heat, Ideal gas law, Internal energy, Laws of thermodynamics, Irreversible process, Ising model, Mechanical action, Partition function, Pressure, Reversible process, Spontaneous process, State function, Statistical ensemble, Temperature, Thermodynamic equilibrium, Thermodynamic potential, Thermodynamic processes, Thermodynamic state, Thermodynamic system, Viscosity, Volume, Work

Quantum mechanics

Path integral formulation, Scattering theory, Schrödinger equation, Quantum field theory, Quantum statistical mechanics

Adiabatic approximation, Blackbody radiation, Correspondence principle, Free particle, Hamiltonian, Hilbert space, Identical particles, Matrix Mechanics, Planck's constant, Observer effect, Operators, Quanta, Quantization, Quantum entanglement, Quantum harmonic oscillator, Quantum number, Quantum tunneling, Schrödinger's cat, Dirac equation, Spin, Wavefunction, Wave mechanics, Wave-particle duality, Zero-point energy, Pauli Exclusion Principle, Heisenberg Uncertainty Principle

Theory of relativity

Special relativity, General relativity, Einstein field equations

Covariance, Einstein manifold, Equivalence principle, Four-momentum, Four-vector, General principle of relativity, Geodesic motion, Gravity, Gravitoelectromagnetism, Inertial frame of reference, Invariance, Length contraction, Lorentzian manifold, Lorentz transformation, Mass-energy equivalence, Metric, Minkowski diagram, Minkowski space, Principle of Relativity, Proper length, Proper time, Reference frame, Rest energy, Rest mass, Relativity of simultaneity, Spacetime, Special principle of relativity, Speed of light, Stress-energy tensor, Time dilation, Twin paradox, World line

 

Field

Subfields

Major theories

Concepts

Astrophysics

Cosmology, Gravitation physics, High-energy astrophysics, Planetary astrophysics, Plasma physics, Space physics, Stellar astrophysics

Big Bang, Lambda-CDM model, Cosmic inflation, General relativity, Law of universal gravitation

Black hole, Cosmic background radiation, Cosmic string, Cosmos, Dark energy, Dark matter, Galaxy, Gravity, Gravitational radiation, Gravitational singularity, Planet, Solar system, Star, Supernova, Universe

Atomic, molecular, and optical physics

Atomic physics, Molecular physics, Atomic and Molecular astrophysics, Chemical physics, Optics, Photonics

Quantum optics, Quantum chemistry, Quantum information science

Atom, Molecule, Diffraction, Electromagnetic radiation, Laser, Polarization, Spectral line, Casimir effect

Particle physics

Nuclear physics, Nuclear astrophysics, Particle astrophysics, Particle physics phenomenology

Standard Model, Quantum field theory, Quantum chromodynamics, Electroweak theory, Effective field theory, Lattice field theory, Lattice gauge theory, Gauge theory, Supersymmetry, Grand unification theory, Superstring theory, M-theory

Fundamental force ( gravitational, electromagnetic, weak, strong), Elementary particle, Spin, Antimatter, Spontaneous symmetry breaking, Brane, String, Quantum gravity, Theory of everything, Vacuum energy

Condensed matter physics

Solid state physics, High pressure physics, Low-temperature physics, Nanoscale and Mesoscopic physics, Polymer physics

BCS theory, Bloch wave, Fermi gas, Fermi liquid, Many-body theory

Phases (gas, liquid, solid, Bose-Einstein condensate, superconductor, superfluid), Electrical conduction, Magnetism, Self-organization, Spin, Spontaneous symmetry breaking

 

Branches of Applied Physics

Accelerator physics, Acoustics, Agrophysics, Biophysics, Chemical Physics, Communication Physics, Econophysics, Engineering physics, Fluid dynamics, Geophysics, Materials physics, Medical physics, Nanotechnology, Optics, Optoelectronics, Photovoltaics, Physical chemistry, Physics of computation, Plasma physics, Solid-state devices, Quantum chemistry, Quantum electronics, Quantum information science, Vehicle dynamics

 

 

 

History

·         As the influence of the Arab Empire expanded to Europe, the works of Aristotle preserved by the Arabs, and the works of the Indians and Persians, became known in Europe by the 12th and 13th centuries.

·         1543 The Scientific Revolution is held by most historians to have begun with the first printed copy of Nicolaus Copernicus's De Revolutionibus

·         1564-1642 Galileo Galilei.

·         1590 Galileo's experiments with falling objects showed that all objects dropped from the same height accelerated at the same rate regardless of their weight. This opposed Aristotle’s doctrine that heavier objects fell faster.

·         1592 Thermometer is invented by Galileo

·         He becomes tutor to the Medici heirs in Florence.

·         1610 Galileo sees the moons of Jupiter (the Medici stars) through his own telescope. He is the first to use the telescope to investigate the heavens.  He publishes his findings in a 24-page booklet, The Starry Messenger. This contradicts Aristotle on several points: moons orbiting Jupiter, existence of sunspots, craters on the Moon, millions more stars than expected, Venus waxing and waning as it orbited the Sun, supporting Copernicus.

·         1610 He is appointed the Royal Professor of Mathematics and Philosophy in Florence.

·         1632 He publishes the Dialogue of the Two World Systems, the first book of popular science.

·         1633 The Inquisition forces Galileo to recant his belief in Copernican theory – he is sentenced to house arrest in Tuscany.

·         1609-1618 Johannes Kepler proposes laws of planetary motion.

·         1643-1727 Isaac Newton

·         1687 Isaac Newton publishes his Philosophiae Naturalis Principia Mathematica, better known as the "Principia", considered to be one of the greatest scientific books of all time, in which he gave gravity a mathematical footing. It contains his Three Laws of Motion and Law of Universal Gravitation.

  • Optics: Newton realized that the spectrum of colors observed when white light passes through a prism is inherent in the white light and not added by the prism, and argued that light is composed of particles.
  • Calculus: Newton developed his methods in 1665-1666 but did not publish them until 1693. Leibniz's work was published in 1683, and his notation and "differential Method" were universally adopted on the Continent, and after 1820, in the British Empire.
  • Newton actually spent more time working on alchemy than physics, writing considerably more papers on the former than the latter
  • Newton's ideas about gravity survived until the 1916 when Albert Einstein refined them with his General Theory of Relativity. Newton's laws still provide an adequate approximation for the behavior of objects in "everyday" situations.

·         After Newton defined classical mechanics, the next great field of inquiry within physics was the nature of electricity. Observations in the 17th and 18th century by scientists such as Robert Boyle, Stephen Gray, and Benjamin Franklin created a foundation for later work.

·         From the late 17th century onwards, thermodynamics was developed by physicist and chemist Boyle, Young, and many others.

·         1733 Bernoulli used statistical arguments with classical mechanics to derive thermodynamic results, initiating the field of statistical mechanics. Ludwig Boltzmann, in the 19th century, is responsible for the modern form of statistical mechanics.

·         1821 Michael Faraday integrated the study of magnetism with the study of electricity. This was done by demonstrating that a moving magnet induced an electric current in a conductor. Faraday also formulated a physical conception of electromagnetic fields.

·         1847 Joule stated the law of conservation of energy, in the form of heat as well as mechanical energy.

·         1864 James Clerk Maxwell formulates a set of equations that explained the interactions between electric and magnetic fields - electromagnetism.

·         In addition to other electromagnetic phenomena, Maxwell's equations also can be used to describe light. Confirmation of this observation was made with the 1888 discovery of radio by Heinrich Hertz and in 1895 when Wilhelm Roentgen detected X rays.

·         1896 Radioactivity was discovered by Henri Becquerel, and further studied by Marie Curie, Pierre Curie, and others. This initiated the field of nuclear physics.

·         1905 The ability to describe light in electromagnetic terms helped serve as a springboard for Albert Einstein's publication of the theory of special relativity. This theory combined classical mechanics with Maxwell's equations and unifies space and time into a single entity, spacetime. Relativity prescribes a different transformation between reference frames than classical mechanics; this necessitated the development of relativistic mechanics as a replacement for classical mechanics. In the regime of low (relative) velocities, the two theories agree. Einstein built further on the special theory by including gravity into his calculations, and published his theory of general relativity in 1915

·         1897 J. J. Thomson discovered the electron. In 1904, he proposed the first model of the atom, known as the plum pudding model.

·         1900 Max Planck published his explanation of blackbody radiation. This equation assumed that radiators are quantized, which proved to be the opening argument in the edifice that would become quantum mechanics. By introducing discrete energy elvels, Planck, Einstein, Niels Bohr, and others developed quantum theories to explain various anomalous experimental results. Quantum mechanics was formulated in 1925 by Heisenberg and in 1926 by Schrödinger and Paul Dirac, in two different ways that both explained the preceding heuristic quantum theories. In quantum mechanics, the outcomes of physical measurements are inherently probabilistic; the theory describes the calculation of these probabilities. It successfully describes the behavior of matter at small distance scales. During the 1920s Schrödinger, Heisenberg, and Max Born were able to formulate a consistent picture of the chemical behavior of matter, a complete theory of the electronic structure of the atom, as a byproduct of the quantum theory.

·         1911 Ernest Rutherford deduced from scattering experiments the existence of a compact atomic nucleus, with positively charged constituents dubbed protons. Neutrons, the neutral nuclear constituents, were discovered in 1932 by Chadwick.

·         The equivalence of mass and energy (E=mc2) was spectacularly demonstrated during World War II, as research was conducted by each side into nuclear physics, for the purpose of creating a nuclear bomb. The German effort, led by Heisenberg, did not succeed, but the Allied Manhattan Project reached its goal. In America, a team led by Fermi achieved the first man-made nuclear chain reaction in 1942, and in 1945 the world's first nuclear explosive was near Alamogordo, New Mexico.

·         Quantum field theory was formulated in order to extend quantum mechanics to be consistent with special relativity. It was devised in the late 1940s with work by Richard Feynman, Julian Schwinger, Sin-Itiro Tomonaga, and Freeman Dyson. They formulated the theory of quantum electrodynamics, which describes the electromagnetic interaction, and successfully explained the Lamb shift. Quantum field theory provided the framework for modern particle physics, which studies fundamental forces and elementary particles.

·         Chen Ning Yang and Tsung-Dao Lee, in the 1950s, discovered an unexpected asymmetry in the decay of a subatomic particle. In 1954, Yang and Robert Mills then developed a class of gauge theories which provided the framework for understanding the nuclear forces. The theory for the strong nuclear force was first proposed by Murray Gell-Mann. The electroweak force, the unification of the weak nuclear force with electromagnetism, was proposed by Sheldon Lee Glashow, Abdus Salam and Steven Weinberg and confirmed in 1964 by James Watson Cronin and Val Fitch. This led to the so-called Standard Model of particle physics in the 1970s, which successfully describes all the elementary particles observed to date.

·         Quantum mechanics also provided the theoretical tools for condensed matter physics, whose largest branch is solid state physics. It studies the physical behavior of solids and liquids, including phenomena such as crystal structures, semiconductivity, and superconductivity. The pioneers of condensed matter physics include Felix Bloch, who created a quantum mechanical description of the behavior of electrons in crystal structures in 1928. The transistor was developed by physicists John Bardeen, Walter Houser Brattain and William Bradford Shockley in 1947 at Bell Telephone Laboratories.

·         The two themes of the 20th century, general relativity and quantum mechanics, appear inconsistent with each other. General relativity describes the universe on the scale of planets and solar systems while quantum mechanics operates on sub-atomic scales. This challenge is being attacked by string theory, which treats spacetime as composed, not of points, but of one-dimensional objects, strings. Strings have properties like a common string (e.g., tension and vibration). The theories yield promising, but not yet testable results. The search for experimental verification of string theory is in progress.

·         In condensed matter physics, the biggest unsolved theoretical problem is the explanation for high-temperature superconductivity. Strong efforts, largely experimental, are being put into making workable spintronics and quantum computers.

·         In particle physics, the first pieces of experimental evidence for physics beyond the Standard Model have begun to appear. Foremost amongst these are indications that neutrinos have non-zero mass. These experimental results appear to have solved the long-standing solar neutrino problem in solar physics. The physics of massive neutrinos is currently an area of active theoretical and experimental research. In the next several years, particle accelerators will begin probing energy scales in the TeV range, in which experimentalists are hoping to find evidence for the Higgs boson and supersymmetric particles.

·         Theoretical attempts to unify quantum mechanics and general relativity into a single theory of quantum gravity, an effort ongoing for over half a century, have not yet borne fruit. The current leading candidates are M-theory, superstring theory and loop quantum gravity.

·         Many astronomical and cosmological phenomena have yet to be satisfactorily explained, including the existence of ultra-high energy cosmic rays, the baryon asymmetry, the acceleration of the universe and the anomalous rotation rates of galaxies.

·         Many everyday phenomena, involving complexity, chaos, or turbulence are still poorly understood. Complex problems that seem like they could be solved by a clever application of dynamics and mechanics, such as the formation of sandpiles, nodes in trickling water, the shape of water droplets, mechanisms of surface tension catastrophes, or self-sorting in shaken heterogeneous collections are unsolved. These complex phenomena have received growing attention since the 1970s for several reasons, not least of which has been the availability of modern mathematical methods and computers which enabled complex systems to be modeled in new ways.

 

 

Fundamental Interactions (Forces)

·         Fundamental interactions are mechanisms by which particles interact with each other, and which cannot be explained by another more fundamental interaction. Every observed physical phenomenon, from galaxies to quarks, can be explained by these interactions

·         There are four fundamental interactions: gravitation, electromagnetism, the weak interaction, and the strong interaction. Their magnitude and behavior vary greatly.

·         It is strongly believed that three of these interactions are manifestations of a single, more fundamental, interaction, just as electricity and magnetism are now understood as two aspects of the electromagnetic interaction. Electromagnetism and the weak nuclear forces have been shown to be two aspects of a single electroweak interaction.

·         Grand unified theories seek to unify the electroweak force and the strong nuclear interaction, but none have passed experimental muster. The topic of unifying gravitation with the other three into an interaction that is completely universal is called quantum gravity.

·         The modern quantum mechanical view of the three fundamental forces (all except gravity) is that particles of matter (fermions) do not directly interact with each other, but rather carry a charge, and exchange virtual particles (gauge bosons), which are the interaction carriers or interaction mediators. Thus, for example, photons are the mediators of the interaction of electric charges; and gluons are the mediators of the interaction of color charges. This coupling of matter (charged fermions) with force mediating particles (gauge bosons) is the result of fundamental symmetries of nature. Mathematically, the coupling is captured by Noether's theorem

 

Interaction

Current Theory

Mediators

Relative Strength1

Long-Distance Behavior

Strong

Quantum chromodynamics
(QCD)

Gluons

1038

1 (see discussion below)

Electromagnetic

Quantum electrodynamics
(QED)

photons

1036

1/r2

Weak

Electroweak Theory
(GWS theory)

W and Z bosons

1025

e-mw,zr/r

Gravity

General Relativity
(GR, not a quantum theory.)

gravitons

1

1/r2

 

 

Gravity (Gravitation)

·         Gravitation is by far the weakest fundamental interaction. However, because it has an infinite range and because all masses are positive, it is nevertheless very important in the universe.

·         Because all masses are positive, large bodies such as planets, stars and galaxies have large total masses and therefore exert large gravitational forces. In comparison, the total electric charge of these bodies is zero because half of all charges are negative.

·         Unlike the other interactions, gravity works universally on all matter and energy. There are no objects that lack a gravitational "charge".

·         Because of its long range, gravity is responsible for such large-scale phenomena as the structure of galaxies, black holes and the expansion of the universe, as well as more elementary astronomical phenomena like the orbits of planets, and everyday experience like objects falling.

·         Gravitation was the first fundamental interaction which was described by a mathematical theory. Isaac Newton's law of Universal Gravitation (1687) was a good approximation of the general behavior of gravity.

·         In 1915, Albert Einstein completed the General Theory of Relativity, a more accurate description of gravity in terms of the geometry of space-time. Einstein proposed that spacetime is curved by the presence of matter, and that free-falling objects are following the geodesics of the spacetime. More specifically, Einstein discovered the field equations of general relativity, which relate the presence of matter and the curvature of spacetime.

·         It is widely believed that in a theory of quantum gravity, gravity would be mediated by a particle which is known as the graviton. Gravitons are hypothetical particles not yet observed.

·         The gravitational field is 9.8 m/s˛ or 32 ft/s˛. This means that, ignoring air resistance, an object falling freely near the earth's surface increases in speed by 9.8 m/s (around 22 mph) for each second of its descent.

 

Electromagnetism

·         Electromagnetism is the force that acts between electrically charged particles. This includes the electrostatic force, acting between charges at rest, and the combined effect of electric and magnetic forces acting between charges moving relative to each other.

·         Electromagnetism is a long-ranged force that is relatively strong, and therefore describes almost all phenomena of our everyday experience—phenomena ranging all the way from lasers and radios to the structure of atoms and the structure of metals to friction and rainbows.

·         Electrical and magnetic forces are involved simultaneously. A changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction). Similarly, a changing electric field generates a magnetic field. Because of this interdependence of the electric and magnetic fields, it makes sense to consider them as a single coherent entity — the electromagnetic field

·         Electrical and magnetic phenomena have been observed since ancient times, but it was only in the 1800s that it was discovered that these are two aspects of the same fundamental interaction. One of the first to discover and publish a link between man-made electric current and magnetism was Romagnosi, who in 1802 noticed that connecting a wire across a Voltaic pile deflected a nearby compass needle. However, the effect did not become widely known until 1820, when Řrsted performed a similar experiment. Řrsted's work influenced Ampčre to produce a theory of electromagnetism that set the subject on a mathematical foundation.

·         By 1864, James Clerk Maxwell 's equations had quantified the unified phenomenon into a single theory and discovered the electromagnetic nature of light. The electromagnetic field obeys Maxwell's equations, and the electromagnetic force is given by the Lorentz force law.

·         Starting around 1927, Paul Dirac unified quantum mechanics with special relativity; quantum electrodynamics was completed in the 1940s.

·         Theodor Kaluza in 1919 noticed a curious property of electromagnetism, namely that Maxwell's classical (non-quantum) theory of electromagnetism arises naturally from the equations of general relativity with the assumption that there is an extra fourth dimension of space. This property is the basis of Kaluza-Klein theories which have been used to formulate a theory of quantum gravity

·         The electromagnetic field encompasses all of space, and exerts a force on those particles that possess the property of electric charge, and is in turn affected by the presence and motion of such particles.

·          

 

 

 

Weak Interaction (Weak Nuclear Force)

·         The weak interaction is responsible for some phenomena at the scale of the atomic nucleus, such as beta decay.

·         Electromagnetism and the weak force are theoretically understood to be two aspects of a unified electroweak interaction — this realization was the first step toward the unified theory known as the Standard Model. In electroweak theory, the carriers of the weak force are massive gauge bosons called the W and Z bosons. This unusual feature is explained in the Standard Model by the Higgs mechanism

·         The weak interaction is the only known interaction in which parity symmetry P is not conserved; because it only acts on left-handed particles it is left-right asymmetric. It is the only one which violates CP symmetry. However, it does conserve CPT

·         The weak interaction affects all left-handed leptons and quarks. It is the only force affecting neutrinos (except for gravitation, which is negligible)

·         Due to the large mass of the weak interaction's carrier particles (about 90 GeV/c2), their mean life is limited to about 3×10−25 seconds by the uncertainty principle. Even at the speed of light this effectively limits the range of the weak interaction to 10−18 meters, about 1000 times smaller than the diameter of an atomic nucleus.

·          Since the weak interaction is both very weak and very short range, its most noticeable effect is due to its other unique feature: flavor changing. Consider a neutron (quark content udd; one up quark, two down quarks). Although the neutron is heavier than the proton (quark content uud), it cannot decay into a proton without changing the flavor of one of its down quarks. Neither the strong interaction nor electromagnetism allow flavor changing, so this must proceed by weak decay. In this process, a down quark in the neutron changes into an up quark by emitting a W boson, which then breaks up into a high-energy electron and an electron antineutrino. Since high-energy electrons are beta radiation, this is called a beta decay.

·         There are three basic types of weak interaction vertices (up to charge conjugation and crossing symmetry). Two of them involve charged bosons, they are called "charged current interactions." The third type is called "neutral current interaction."

o        A charged lepton (such as an electron or a muon) emitting or absorbing a W boson and converting into a corresponding neutrino.

o        A down-type quark (with charge -1/3) emitting or absorbing a W boson and converting into a superposition of up-type quarks.

o        Either a lepton or a quark can emit or absorb a Z boson.

·          

 

Strong Interaction (Strong Nuclear Force)

·         The Strong Interaction is, as detailed by the theory of quantum chromodynamics (QCD), is the fundamental force mediated by gluons acting upon particles that carry "color charge", quarks, antiquarks, and the gluons themselves.

·         Although the strong force only acts upon elementary particles directly, the force is observed between hadrons as the nuclear force. As has been shown by many failed free quark searches, the elementary particles affected are unobservable directly. This phenomenon is called confinement, a theory which allows only hadrons to be seen.

·         Before the 1970s, when protons and neutrons were thought to be fundamental particles, the phrase "strong force" was what is today known as the nuclear force or the residual strong force. What were being observed were the "residual" effects of the strong force, which act on hadrons. This force was postulated to overcome the electric repulsion between protons in the nucleus, and for its strength (at short distances) it was dubbed the "strong force". After the discovery of quarks, scientists realized that the force was actually acting upon the quarks and gluons making up the protons, not the protons themselves. For some time after this realization, the older notion was referred to as the residual strong force, and the "new" strong interaction was called colour force.

·         A unique characteristic of the strong interaction is the fact that these gluons interact with each other. This causes the strong interaction's strength to be independent of distance. This can be interpreted to mean that the force has an infinite range. However, in actuality, since the energy stored in the field increases with separation between the interacting particles, at large distances the field contains enough energy to produce particle-antiparticle pairs. When this occurs, the field lines are cut in half. By this mechanism, strong forces never act over distances much larger than the proton's radius

·         Hadrons are held together by the strong force. These include familiar particles such as protons and neutrons as well as many other baryons and mesons

·         Nucleons are held to each other in the atomic nucleus by the nuclear force, which is a residual effect of the strong interaction. This force is unrelated to electric charge. Because the strong force is so much stronger than the electromagnetic force, it can easily hold many protons together in the nucleus despite their tremendous electric repulsion.

 

Classical Mechanics

·         Classical mechanics is subdivided into statics (which models objects at rest), kinematics (which models objects in motion), and dynamics (which models objects subjected to forces).

·         1553 Giambattista Benedetti, a Venetian mathematician, determined that falling objects fall at the same rate, a discovery often credited to Galileo.

·         1590 Galileo's experiments with falling objects showed that all objects dropped from the same height accelerated at the same rate regardless of their weight. This opposed Aristotle’s doctrine that heavier objects fell faster. His work also showed that if objects were moving at right angles to the ground, the horizontal and vertical movements were independent of each other. In other words, there could be a constant speed in the horizontal direction but a varying speed in the vertical direction. This explained the curved paths that objects like cannon balls took when fired into the air.

·         1643-1727 Isaac Newton

·         Newton was the first to show that the motion of objects on Earth and of celestial bodies are governed by the same set of natural laws, namely gravity.

·         1687 Isaac Newton publishes his Philosophiae Naturalis Principia Mathematica, better known as the "Principia", considered to be one of the greatest scientific books of all time, in which he gave gravity a mathematical footing.

·         It contains his Three Laws of Motion:

1.       Law of Inertia: A body at rest remains at rest and a body in motion remains in motion as long as outside forces are not acting on the body. This removes the need for something to be pushing planets along. On the Earth, bodies in motion slow down because of forces like friction or air resistance. In space, where there is no air, no resistance exists to slow a body down, and it will carry on moving forever.

2.       A force acting on a body causes it to accelerate in the direction of the force. The acceleration that force imparts on a body is inversely related to the amount of matter that the body contains, called the body's mass. If force acts on two objects, the more massive object will be accellerated less and the less massive object will be accellerated more. Force = (Mass)(Acceleration). Newton was the first to distinguish between the mass of a body (something that does not vary) and its weight. Weight is a force acting on a mass. A person in space can be weightless but will always have the same mass because they are a material body with inertia.

3.       To every action there is an equal and opposite reaction. This means that if two bodies collide, they each impart a force on each other. It also governs the working of jet engines and rockets: gases escaping from a tube cause the object to move in the opposite direction.

  • Newton’s Law of Universal Gravitation: Two bodies attract each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.  This can be written in the famous equation: Newton's Law of Gravitywhere F is the force of gravity between the two masses (m1 and m2). The distance between them is d. G, is called the Gravitational Constant and was measured by the English physicist, Henry Cavendish in 1798 with the value 6.673 × 10-11 N m2 kg-2.
  • .

 

 

 

Energy

 

Sound

 

 

 

 

Thermodynamics

·         Thermodynamics deals with the action of heat and the conversions from one to another of various forms of energy. Thermodynamics is particularly concerned with how these affect temperature, pressure, volume, mechanical action, and work. Historically, it grew out of efforts to construct more efficient heat engines

·         Statistical mechanics analyzes macroscopic systems by applying statistical principles to their microscopic constituents and, thus, can be used to calculate the thermodynamic properties of bulk materials from the spectroscopic data of individual molecules.

 

 

Heat

·         1643 Torricelli develops the mercury barometer

·         1714 Fahrenheit develops the temperature scale and in 1718 the mercury thermometer.

·         Absolute Zero is 0°K, -460°F, -273°C.  At this temperature all substances have zero thermal energy.

o        In 1848, William Thomson, 1st Baron Kelvin proposed an absolute thermodynamic temperature scale in which equal reduction in measured temperature gave rise to equal reduction in the heat of a body. This freed the concept from the constraints of the gas laws and established absolute zero as the temperature at which no further heat could be removed from a body.

o        At very low temperatures in the vicinity of absolute zero, matter exhibits many unusual properties including superconductivity, superfluidity, and Bose-Einstein condensation.

o        The lowest temperature actually reached is 450 pK (0.45 billionths of a Kelvin or 4.5x10-10K) by researchers at MIT in 2003. It may be possible that scientists have already reached Absolute Zero, but when the system's temperature is measured, entropy is introduced to the system, thus we may never know for sure.

Typical thermodynamic system - heat moves from hot (boiler) to cold (condenser) and  work is extracted.

 

Electricity

·         1740s Cathode Ray tubes were investigated in the time of Benjamin Franklin. Electric discharges were passed through rarefied gases in a tube from which the air was gradually removed by a pump. The tube had two small metal plates inside a glass container. The plate connected to the negative side of the electricity supply was called the cathode, and that to the positive side was the anode. As the pressure was lowered, a spark which fattened into a purplish glowing, writhing snake appeared going from the cathode to the anode.

·         1745 The Leyden Jar is described by Georg Van Kleist at the University of Leyden. It is the earliest form of capacitor for storing electric charge. The jars contained an inner wire electrode in contact with water, mercury, or wire.  The outer electrode was the human hand holding the jar.  An improved version coated the jar inside and out with separate metal foils with the inner foil terminating in a conducting sphere.  In use the jar was normally charged from an electrostatic generator.

·         1790 Aloisio Galvani describes contact electricity

·         1790s The Battery developed by Alessandro Volta, physics professor at the Royal School of Como, Italy. It was composed of a series of silver and zinc disks in pairs. Between each of these discs was a sheet of pasteboard wet with salt water. Electricity was produced when the top disk of silver was connected by a wire to the bottom disk of zinc. The problem with the voltaic cell was that it lost power rapidly once current was drawn from it. In 1836 British chemist John Daniell invented the “Daniell cell,” which supplied an even current during continuous operation

·         1811 Sir Humphrey Davy discovered the arc lamp, an electrical arc passing between two poles produces light

·         1823 The electromagnet is invented in England by William Sturgeon

·         1831 Michael Faraday’s Law of Electrical Induction. Faraday builds an electric dynamo.

·         Faraday formulated the laws of electromagnetic induction and did the groundwork necessary to make dynamos, electric motors and transformers. It was Faraday who devised the laws of electrolysis and laid the foundation for the electroplating industry. Faraday has the international unit for capacitance named after him, the Farad, marking his distinguished work with dielectrics; and also a physical constant, the Faraday Constant. He developed the concept of magnetic and electrical fields, and also showed that the electrical phenomena exhibited by lightning, electric eels and voltaic cells are all related. The `Faraday dark space', observed with electrical discharges in gases (for example, as in fluorescent tubes), pays tribute to him, and the `Faraday effect' in magneto-optics was one of his triumphs later in his career.

·         1839 The fuel cell is invented in England by William Grove

·         1841 Arc lights were installed as public lighting along Place de la Concorde in Paris

·         1879 Light bulb invented simultaneously by Thomas Edison and Sir Joseph Wilson Swan

·         1882 In New York, Thomas Edison's Pearl Street power company begins to supply electricity for the city

·         1909 The tungsten filament is developed by William Coolidge of the US for long-lasting electric lights. Neon light is invented in 1910.

Superconductivity

·         Superconductivity occurs in certain metals and alloys at low temperatures (4-90°K) which exhibit zero electric resistance and diamagnetism.

·         In ordinary conductors such as copper and silver, impurities and other defects impose a lower limit. Even near absolute zero a real sample of copper shows a non-zero resistance. The resistance of a superconductor, on the other hand, drops abruptly to zero when the material is cooled below its "critical temperature", typically 20K or less. An electrical current flowing in a loop of superconducting wire can persist indefinitely with no power source.

·         Like ferromagnetism and atomic spectral lines, superconductivity is a quantum mechanical phenomenon. It cannot be understood simply as the idealization of "perfect Diagram of the Meissner effect. Magnetic field lines, represented as arrows, are excluded from a superconductor when it is below its critical temperature.conductivity" in classical physics.

·         Superconductivity occurs in a wide variety of materials, including simple elements like tin and aluminum, various metallic alloys, some heavily-doped semiconductors and a family of cuprate-perovskite ceramic materials known as high-temperature superconductors. Superconductivity does not occur in noble metals like gold and silver, nor in most ferromagnetic metals.

·         The Meissner Effect will levitate a magnet as long as the magnetic field does not exceed the critical magnetic field. A magnet that is suspended by the superconductor has two interesting properties; it does not move, and it can spin without friction. The ability for the magnet to stay perfectly still is due to flux pinning, in which the magnetic field lines become trapped within the superconductor at sites of impurity in the crystal structure.

·         Superconductors are used to make some of the most powerful electromagnets, including in MRI machines and the beam-steering magnets used in particle accelerators. They can also be used for magnetic separation, where weakly magnetic particles are extracted from a background of less or non-magnetic particles, as in the pigment industries. Superconductors have also been used to make digital circuits (e.g. based on the Rapid Single Flux Quantum technology) and microwave filters for mobile phone base stations. Superconductors are used to build Josephson junctions which are the building blocks of SQUIDs (superconducting quantum interference devices), the most sensitive magnetometers known. Other early markets are arising where the relative efficiency, size and weight advantages of devices based on HTS outweigh the additional costs involved.

·         Promising future applications include high-performance transformers, power storage devices, electric power transmission, electric motors (e.g. for vehicle propulsion, as in vactrains or maglev trains), magnetic levitation devices, and Fault Current Limiters. However superconductivity is sensitive to moving magnetic fields so applications that use alternating current (e.g. transformers) will be more difficult to develop than those that rely upon direct current.

·         1911 Superconductivity was discovered by Heike Onnes, who was studying the resistance of mercury at cryogenic temperatures using the recently-discovered liquid helium as a refrigerant. At the temperature of 4.2 K, he observed that the resistance abruptly disappeared. For this discovery, he was awarded the Nobel Prize in Physics in 1913. In subsequent decades, superconductivity was found in several other materials.

·         1933 Meissner and Ochsenfeld discovered that superconductors expelled applied magnetic fields, a phenomenon which has come to be known as the Meissner effect.

·         1957 The complete microscopic theory of superconductivity was proposed by Bardeen, Cooper, and Schrieffer. This BCS theory explained the superconducting current as a superfluid of Cooper pairs, pairs of electrons interacting through the exchange of phonons. For this work, the authors were awarded the Nobel Prize in 1972.

·         1986 The discovery of high-temperature superconductors, with critical temperatures in excess of 90 kelvins, spurred renewed interest in superconductivity. These materials represented a new phenomenon not explained by the current theory. And, because the superconducting state persists up to more manageable temperatures, more commercial applications are feasible.

SQUIDS

·         SQUIDs, or Superconducting Quantum Interference Devices, are used to measure extremely small magnetic fields; they are currently the most sensitive such devices (magnetometers) known

·         While a typical fridge magnet is ~0.01 tesla (10−2 T), some processes in animals produce magnetic fields sized between a microtesla (10−6 T) and a nanotesla (10−9 T).

·         The DC SQUID was invented in 1964 by Ford Research Labs after B. D. Josephson postulated the Josephson effect in 1962 and the first Josephson Junction was made at Bell Labs in 1963. The RF SQUID was invented in 1965 at Ford.

·         There are two main types of SQUID: DC and RF (or AC). RF SQUIDs have only one Josephson junction whereas DC SQUIDs have two or more junctions. This makes DC SQUIDs more difficult and expensive to produce, but DC SQUIDs are much more sensitive.

·         Most SQUIDs are fabricated from lead or pure niobium. To achieve the necessary superconducting characteristics, the device is cooled to within a few degrees of absolute zero with liquid helium.

·         Magnetoencephalography (MEG) uses measurements from an array of SQUIDs to make inferences about neural activity inside brains.

·         Probably the most common use of SQUIDs is in magnetic property measurement systems. These are turn-key systems, made by several manufacturers, that measure the magnetic properties of a material sample.

 

Magnetism

·         Magnetism is one of the phenomena by which materials exert an attractive or repulsive force on other materials.

·         Some well known materials that exhibit easily detectable magnetic properties are iron and iron-containing materials (some steels, and the mineral lodestone); however, all materials are influenced to greater or lesser degree by the presence of a magnetic field

·         Magnetism is seen whenever electrically charged particles are in motion. This can arise either from movement of electrons in an electric current, resulting in an "electromagnet", or from spin of electrons, resulting in a "permanent magnet".

o        Electron spin is the dominant effect within atoms. The so-called 'orbital motion' of electrons around the nucleus is a secondary effect.

o        The overall magnetic moment of the atom is the net sum of all of the magnetic moments of the individual electrons. The differences in configuration of the electrons in various elements thus determine the magnetic properties of various materials.

·         Maxwell's equations and the Biot-Savart law describe the origin and behavior of magnetic fields.

·         Magnetic fields are dipoles, having a "South pole" and a "North pole"; terms dating back to the use of magnets as compasses.

o        When a magnet, that is, an object conventionally described as having a north and a south pole, is cut in half across the axis joining those "poles", the resulting pieces are two normal (albeit smaller) magnets each with its own north pole and south pole, rather than two separate north-only and south-only pieces.

o        A magnetic field contains energy, and physical systems stabilize into the configuration with the lowest energy. Therefore, when placed in a magnetic field, a magnet tends to align itself in opposed polarity to that field, thereby canceling the net field strength as much as possible and lowering the energy stored in that field to a minimum. For instance, two identical bar magnets normally line up North to South (as opposed to North-North or South-South) resulting in no net magnetic field.

o        Magnetic monopoles have been posited to exist by some particle theories, notably Grand Unified Theories and superstring theories, but have not been observed in nature.

·         Maxwell did much to unify static electricity and magnetism, producing a set of four equations relating the two fields. However, under Maxwell's formulation, there were still two distinct fields describing different phenomena. It was Albert Einstein who showed, using special relativity, that electric and magnetic fields are two aspects of the same thing, and that one observer may perceive a magnetic force where a moving observer perceives only an electrostatic force. Thus, using special relativity, magnetic forces are a manifestation of electrostatic forces of charges in motion and may be predicted from knowledge of the electrostatic forces and the velocity of movement (relative to some observer) of the charges.

·         Einstein explained in 1905 that a magnetic field is the relativistic part of an electric field. When an electric charge is moving from the perspective of an observer, the electric field of this charge due to space contraction is no longer seen by the observer as spherically symmetric due to non-radial time dilation, and it must be computed using the Lorentz transformations. One of the products of these transformations is the part of the electric field which only acts on moving charges - and we call it the "magnetic field".

·         The magnetic force is actually due to the finite speed of a disturbance of the electric field, the speed of light, which gives rise to forces that appear to be acting along a line at right angles to the charges. In effect, the magnetic force is the portion of the electric force directed to where the charge used to be.

·         The quantum-mechanical motion of electrons in atoms produces the magnetic fields of permanent ferromagnets. Spinning charged particles also have magnetic moment. Some electrically neutral particles (like the neutron) with non-zero spin also have magnetic moment due to the charge distribution in their inner structure. Particles with zero spin never have magnetic moment.

History

·         Although known to the ancients, William Gilbert (1544-1603) pioneered the study of magnetism.  He investigated the earth’s magnetic field in standard terms of magnetism.

·         John Van Vleck (1899-1980) is one of the fathers of modern magnetism. He explained the magnetic, electric, and optical properties of many elements and compounds with the ligand field theory, and the effects of temperature of paramagnetic materials (Van Vleck paramagnetism).

Electromagnets

·         Electromagnets are useful in cases where a magnet must be switched on or off; for instance, large cranes to lift junked automobiles.

·         For the case of electric current moving through a wire, the resulting field is directed according to the "right hand rule." If the right hand is used as a model, and the thumb of the right hand points along the wire from positive towards the negative side ("conventional current", the reverse of the direction of actual movement of electrons), then the magnetic field will wrap around the wire in the direction indicated by the fingers of the right hand.

·         If a loop of wire is formed such that the current is traveling in a circle, then all of the field lines in the center of the loop are directed in the same direction, resulting in a magnetic dipole whose strength depends on the current around the loop multiplied by the number of turns of wire.

Permanent magnets

·         When the spins interact with each other in such a way that the spins align spontaneously, the materials are called ferromagnetic (what is often loosely termed as "magnetic"). Due to the way their regular crystalline atomic structure causes their spins to interact, some metals are (ferro)magnetic when found in their natural states, as ores. These include iron ore (magnetite or lodestone), cobalt, nickel, gadolinium, and dysprosium (when at a very low temperature).

·         Technology has expanded the availability of magnetic materials to include various manmade products, all based, however, on naturally magnetic elements.

·         Many materials have unpaired electron spins, but the majority of these materials are paramagnetic. Paramagnetism is a form of magnetism which only occurs in the presence of an externally applied magnetic field. Paramagnetic materials are attracted to magnetic fields, hence have a magnetic susceptibility. However, unlike ferromagnets, paramagnets do not retain any magnetisation in the absence of an externally applied magnetic field. Examples are aluminum, barium, calcium, oxygen, sodium, uranium, and others.

 

The Electromagnetic Spectrum

·         1800 William Herschel discovers infrared rays. He measured the temperature of different colors of the spectrum by placing a thermometer on each color. The hottest part of the spectrum was a spot beyond the red end of the spectrum where there was no color. This light became known as infrared and for the first time it was possible to talk about invisible light.

·         Infrared radiation is produced by the vibrations of molecules. Human skin feels this radiation as heat. Microwave ovens work by using Infra Red radiation of the correct frequency to make the water molecule vibrate faster. InfraRed is used as an analytical tool for molecules in Chemistry. Cool, proto-stars are studied with Infra Red detectors.

·         1801 Johann William Ritter discovers ultraviolet light. Ritter was famous as the discoverer of electroplating. He was experimenting with silver chloride (AgCl), which is decomposed by light, which liberates silver and makes the colorless substance turn black. This reaction is the basis of photography. Ritter measured the speed at which silver chloride broke down with different colours. Blue light was indeed more efficient that red light, but he was amazed that the most vigorous reactions took place in the region beyond the violet where nothing could be seen. This new radiation was originally called Chemical Rays but is now called Ultra Violet.

o        Visible and Ultraviolet Light is produced by chemical reactions and ionizations of outer electrons in atoms and molecules. There are many chemical reactions that are instigated by this radiation: the chemical retinal in animal eyes, chlorophyll in plants, silver chloride in photography, the chemical melanin in human skin, silicon converts light to electricity. Light is the most familiar electromagnetic radiation because the Earth's atmosphere is transparent to it. Light (and a little of InfraRed and UltraViolet) can pass through the atmosphere. Living organisms have evolved to use these waves. Visible Light is simply the part of the electromagnetic spectrum that reacts with the chemicals in our eyes. Bees can see more UltraViolet than we can, and snakes can detect InfraRed.

·         1802 Thomas Young proves the wave theory of light. The Greeks thought that light was a stream of particles. Isaac Newton thought this also. Young first demonstrated a simple proof of the wave theory of light. He forced the light from a single light source to pass through a narrow slit and then through two more narrow slits within a fraction of an inch of each other. The light from the two slits fell on a screen and in areas of overlap bands of bright light alternated with bands of darkness, demonstrating the interference of light. He used his theory to explain the colours of thin films (such as soap bubbles). He also worked out the wavelength of light to be approximately 1μm, and, relating colour to wavelength, he calculated the approximate wavelengths of the seven colours recognized by Newton. In 1817 he proposed that light waves were transverse (vibrating at right angles to the direction of travel), rather than longitudinal (vibrating in the direction of travel) as had long been assumed, and thus explained polarization, the alignment of light waves to vibrate in the same plane. In the early 19th century any opposition to Newton was unthinkable by most English scientists. A savage anonymous review of his work in 1803 cast Young into scientific limbo for ten years. Ridiculed in England, Young’s theory was championed in France by Augustin Jean Fresnel (1788-1827) and Dominique-François-Jean Arago (1785-1853), and finally achieved acceptance in Europe.

·         1842 Christian Doppler describes the Doppler Effect – the change in apparent wavelength of radiation (sound, light etc) emitted by moving the source or the receiver.  The wavelength shortens as the source and receiver become nearer, and it lengths as they move away from each other.  This can be appreciated by an approaching car, train etc.  Applications include Doppler radar, medical Doppler ultrasound, and determining the direction and speed of movement of astronomical objects.

·         1864-1873 James Clerk Maxwell, a Scottish physicist, develops The Electromagnetic Theory.

o        Maxwell examined the way electricity and magnetism worked and found many similarities between them (negative / positive, north / south, etc). Mathematically, he devised a few simple equations that explained all the varied phenomena of electricity and magnetism and bound them together.

o        He showed that the oscillation of an electric charge produced an electromagnetic field moving outward from its source at a constant speed, c, which he calculated to be 300,000 km/s, the same as the speed of light. This was too much of a coincidence for Maxwell. He suggested that light itself was an electromagnetic wave. At the time it was not known what oscillating electric charge was involved. Whatever it was it had to be oscillating at 300 million MHz to produce the correct type of waves. The oscillations were later found when the properties of the atom were better understood. Maxwell also suggested that since electric charges could oscillate with any frequency, there should be a whole family of electromagnetic radiation of which visible light was only a small part. Maxwell's work was so important that it survived the Physics revolution that occurred at the beginning of the 1900s.

·         1885-1889 Heinrich Rudolf Hertz discovers radio waves. Hertz clarified and expanded the electromagnetic theory of light that had been put forth by the James Clerk Maxwell in 1884.  Hertz proved that electricity can be transmitted in electromagnetic waves, which travel at the speed of light and which possess many other properties of light. Hertz became the first person to broadcast and receive radio waves, and to establish the fact that light was a form of electromagnetic radiation. He set up electric circuits that produced oscillations and managed to produce electromagnetic radiation with a wavelength of 66cm (over a million times longer than light). This radiation could be picked up by other circuits set up quite a distance away. His experiments with these electromagnetic waves, known as Hertzian waves and later became known as radio waves, led to the development of the wireless telegraph and the radio.

o        Radio Waves are produced when free electrons are forced to move in a magnetic field, or when electrons change their spin in a molecule. They are used for communication and to study low energy motions in atoms. All electrical goods generate Radio Waves. Radio Waves from space can be used to study cool interstellar gases.

·         1895 William Roentgen, a German physicist, discovers X-rays.  He was working on Cathode Ray Tubes and noticed a glow coming from a chemical called barium platinocyanide. This chemical glowed whenever the tube was on, even if he put cardboard between it and the tube. Roentgen went on to show that the glow was caused by a highly penetrating but invisible radiation given off by the tube.

o        He found that the x-rays traveled in straight lines, and (unlike the cathode rays) were not deflected by magnetic fields. On the other hand, they didn't exhibit any diffraction phenomena, so did not seem to be waves. Roentgen, and independently J. J. Thomson, found that the x-rays were ionizing radiation - as they passed through air, ions were created. A gold leaf electroscope exposed to the x-rays would lose its charge, as the newly created ions were attracted to the charged leaves.

o        It passed through paper and thin sheets of metal, and flesh almost unimpeded, but bone cast a shadow. By having his wife place her hand between the point source of x-rays on the Crookes' tube and some unexposed film in a box, then developing the film, he took a picture of the bones in her hand.

o        He found lead was a good shield, and, by using it to shield different parts of the Crookes' tube, established that the x-rays originated in the part of the glass that fluoresced where the cathode rays hit it. It could ionize gases and had wave properties like light but only much shorter wavelengths. The new radiation was called X-Rays because of their mysterious properties. Roentgen refused to patent the discovery or make any financial gain out of it but he was awarded the first ever Nobel Prize for Physics.

o        X-Rays are produced by fast electrons stopping suddenly, or by ionization of the inner electrons of an atom. They are produced by high energy processes in space: gases being sucked in to a black hole and becoming compressed; exploding stars. They are used in medicine to look through flesh. In Physics the waves are small enough to pass between atoms and molecules so they can be used to determine molecular structures

o        In 1899, Haga and Wind noticed a slight broadening of an x-ray beam after it passed through a slit a few thousandths of a millimeter wide. This could be from diffraction if the wavelength were of order 10-10 meters. This problem was not resolved conclusively until 1912, when Laue made the observation that since the wavelength of x-rays was apparently similar to the distances between planes of atoms in a crystal, perhaps a crystal would act as a diffraction grating for x-rays. This turned out to be correct, and in fact is now the standard way of finding crystal structure.

o        Once the usefulness of x-rays was established, techniques for producing them evolved rapidly. It was found that they were produced far more copiously if the cathode rays impinged on a piece of heavy metal, such as Molybdenum, rather than glass. The physical picture of x-ray production was that the electrons radiated as they suddenly decelerated on hitting the target, unloading their kinetic energy as radiation (plus some heating of the target). This deceleration radiation is called bremsstrahlung in German, and this word is sometimes used to describe it.

·         1900 Paul Villard discovers Gamma Rays.  Paul Villard's main interest was in chemistry, which guided him into his studies of cathode rays, x rays, and "radium rays." His experiments in radioactivity led to the unexpected discovery of gamma rays in 1900. Villard recognized them as being different from x rays because the gamma rays had a much greater penetrating depth. He had discovered they were emitted from radioactive substances and were not affected by electric or magnetic fields, thus were waves not particles. These came to be called gamma rays by another scientist, Ernest Rutherford. It wasn't until 1914 that Rutherford showed that they were a form of electromagnetic (EM) like light only with a much shorter wavelength than x rays when Rutherford observed them to be reflected from crystal surfaces.

o        Gamma Rays were found to be very short wave electromagnetic radiation, more penetrating and of shorter wavelength than even X-Rays. Gamma Rays are produced by very high energy processes, usually involved with the nucleus of atoms. Radioactivity and exploding stars produce Gamma Rays. They are very dangerous because if they strike atoms and molecules they will do lots of damage. If the molecules are the long and complex molecules of life, death and mutation could occur. Now we know that gamma rays are a form of EM radiation similar to x rays. Gamma rays tend to have a higher energy and a shorter wavelength than x rays do. However, the dividing line between these two forms of radiation is not clearly defined. Scientists typically apply the term gamma ray to EM radiation with energies above several hundred thousand electron volts. One electron volt is the amount of energy gained by an electron as it moves freely between two points with a potential difference of 1 volt. What I like to try to think of is that an unstable nucleus or nuclear process (like annihilation, isometric transitions, etc.) gives off gamma rays, and x rays are involved in energy transformation of electrons

·         Discovery of electrons

o        1830s Faraday found that lowering the pressure in a cathode ray tube causes a dark space to open up near the cathode, now called the Faraday Dark Space.

o        1850 Geissler invented a much better (mercury) pump for cathode ray tubes. In 1869, Hittorf found that in a very good vacuum (0.01 mm Hg), the Faraday dark space expanded to fill the whole tube, and the cathode emitted rays that caused the glass to glow where they hit. In 1876, Goldstein called them "cathode rays".

o        1879 William Crookes, an Englishman, declared that cathode rays must be particles of some sort, and demonstrated that they traveled in straight lines by inserting a Maltese cross in the tube, which cast a sharp shadow on the end of the tube. Heinrich Hertz, with his student Lenard, discovered in 1891 that the rays could penetrate a thin aluminum plate, and detected them in the air just outside the tube. Hertz found experimentally that he could not deflect the rays with an electrostatic field applied from outside the tube, and they didn't affect a compass, so he concluded (wrongly) that they must be waves, not particles. Afterwards Germans physicists thought the cathode rays were waves, the English thought they were particles (presumably ions of some kind).

o        1898 J. J. Thomson discovers that electrons negatively charged particles, and measured e/m, the ratio of charge to mass.

§         He placed cathode tubes in an electric field and the cathode rays bent to one side. Since these fields will deflect particles but not waves, Thomson proposed that cathode rays must be made of small particles, which he dubbed "corpuscles”

§         Thomson added a magnetic field, and by adjusting this magnetic field strength to cancel the deflection of the rays caused by the electric field he was able to measure the speed of the rays and the e/m. The value of e/m was a complete surprise: it was 2,000 times the value for the hydrogen ion. Cathode rays were particles smaller than the smallest atom.

§         Thomson found this ratio e/m to be independent of the material the cathode was made of. The cathode rays could have been fragments of atoms which were different for different atoms, but evidently this was not the case. Furthermore, he found in 1899 that photoelectrically produced particles had the same e/m, so were probably the same particles. For the photoelectrically produced particles, Thomson was able to find the charge e, in a cloud chamber experiment. Their results suggested that the particles had the same magnitude charge as the hydrogen ion. The emerging picture was that the atom, known of course to be electrically neutral, contained negatively charged particles, the electrons, which could be removed in various ways, leaving a positively charged ion which contained almost all the mass of the original atom.

 

Light

·         1690 Christian Huygen proposes the wave theory of light

·         1728 James Bradley, an English physicist, estimated the speed of light in a vacuum to be around 186,282 miles (300,000 km) per second. He used stellar aberration: the apparent position of stars to change due to the motion of the Earth around the sun and is approximately the ratio of the speed the earth orbits the sun to the speed of light. He knew the speed of the earth around the sun and could measure this stellar aberration angle, enabling him to calculate the speed of light.

o        1676 Olaus Roemer, Danish astronomer, measures the speed of light using Jupiter's moons. Roemer was able to predict eclipses of Io by Jupiter. However, over a period of months, Roemer's predictions were steadily off by longer and longer intervals of time, then they became more accurate, till they were correct again. This strange cycle repeated itself and Roemer realized that this was caused by the differences between the distance between the earth and Jupiter. Roemer calculated the distance between the earth and Jupiter and used these inaccurate distances to calculate the speed of light to be around 200 000 km/sec

·         Color is determined by the wavelength of light.

Optics

·         1282 Eyeglasses invented by Alessandro di Spina in Florence – extending the productive period of men’s lives

·         1608 Telescope invented by Hans Lippershey, who made glasses in Holland.

·         1783 Bifocal glasses are invented by Benjamin Franklin

Microscopes

·         1590 Simple microscope is developed in Denmark by Zacharias Jensen

·         1674 Multiple-lens microscope developed by Dutch scientist Antonie van Leeuwenhoek (Single-lens microscopes were used as early as the mid-1400s).

  

 

 

 

 

 

 

Atomic and Nuclear Physics

 

Atomic Structure

·         Molecules are the smallest particles into which a non-elemental substance can be divided while maintaining the physical properties of the substance.

·         Each type of molecule corresponds to a specific chemical compound. Molecules are composites of one or more atoms.

·         Atoms are the smallest neutral particles into which matter can be divided by chemical reactions.

·         An atom consists of a small, heavy nucleus surrounded by a relatively large, light cloud of electrons.

·         Each type of atom corresponds to a specific chemical element, of which 111 have been officially named.

·         Atomic nuclei consist of protons and neutrons.

·         Each type of nucleus contains a specific number of protons and a specific number of neutrons, and is called a nuclide or isotope.

·         Nuclear reactions can change one nuclide into another

·         Nuclei are held together by the strong interaction (mostly exchanging pions), but electromagnetic repulsion between the positively charged protons tends to push each other apart, according to Coulomb's law.

·         Stable nuclei have the lowest energy ratio of protons to neutron for their atomic weight.

·         Nuclei near enough to this ratio to be bound but not close enough to be stable, give off electrons or positrons (beta decay) or take in electrons (and also give off neutrinos), to move closer to that ratio. This is the main place where the weak interaction comes in.

·         Nuclei that are unstable are pulled apart by the coulomb repulsion of their protons and either fission or give off alpha particles

History

·         By at least the 6th century BC the philosophical doctrine of atomism was studied by ancient Greek philosophers such as Leucippus, Democritus, and Epicurus.

·         1803 John Dalton proposes his Atomic Theory which stated that:

1.       All matter is composed of small indivisible particles termed atoms

2.       Each element has an atom that differs in mass to other atoms

3.       Three types of atoms exist: simple (elements), compound (simple molecules), and complex (complex molecules). Chemical combinations of different elements occurs in simple numerical ratios by weight, which led to the development of the laws of definite and multiple proportions.

·         1896 Radioactivity was discovered by Henri Becquerel, and further studied by Marie Curie, Pierre Curie, and others.

·         1905 Einstein proved the existence of atoms from direct observations (an effect called Brownian Motion).

·         1897 Joseph J. Thomson discovered the electron. In 1904, he proposed the first model of the atom, known as the plum pudding model.

·         1911 Ernest Rutherford propose the existence of the atomic nucleus as a central concentration of protons and, incorrectly, electrons. This was confirmed by the experiments of Geiger and Marsden

·         In the 1940s and 1950s, it was discovered that the nucleus was composed of protons and neutrons.

·         Throughout the 1950s and 1960s, a bewildering variety of subatomic particles was found in scattering experiments. This was referred to as the "particle zoo".

·         In the 1970s the Standard Model is formulated in which the large number of particles was explained as combinations of a (relatively) small number of fundamental particles.

Binding Energy

·         When a nucleon such as a proton or neutron is added to a nucleus, the strong force attracts it to other nucleons, but primarily to its immediate neighbors due to the short range of the force. The nucleons in the interior of a nucleus have more neighboring nucleons than those on the surface. Since smaller nuclei have a larger surface-to-volume ratio, the binding energy per nucleon due to the strong force generally increases with the size of the nucleus.

·         The electrostatic force, on the other hand, is an inverse-square force, so a proton added to a nucleus will feel an electrostatic repulsion from all the other protons in the nucleus. The electrostatic energy per nucleon due to the electrostatic force thus increases without limit as nuclei get larger.

·         The net result of these opposing forces is that the binding energy per nucleon generally increases with increasing size, up to the elements iron and nickel, and then decreases for heavier nuclei. Eventually, the binding energy becomes negative and very heavy nuclei are not stable.

·         The energy released in most nuclear reactions is much larger than that for chemical reactions, because the binding energy that holds a nucleus together is far greater than the energy that holds electrons to a nucleus. For example, the ionization energy gained by adding an electron to a hydrogen nucleus is 13.6 electron volts—less than one-millionth of the 17 MeV released in the D-T (deuterium-tritium) reaction

 

 

Subatomic Particles

·         Many elementary particles do not occur under normal circumstances in nature, but can be created and detected during energetic collisions of other particles, as is done in particle accelerators

·         Subatomic particles include atomic constituents such as electrons, protons, and neutrons (protons and neutrons are actually composite particles, made up of quarks), particles produced by radiative and scattering processes, such as photons, neutrinos, and muons, as well as a wide range of exotic particles.

·         The term particle is a misnomer because the dynamics of particle physics are governed by quantum mechanics. As such, they exhibit wave-particle duality, displaying particle-like behavior under certain experimental conditions and wave-like behavior in others (more technically they are described by state vectors in a Hilbert space; see quantum field theory).

 

The Standard Model

·         All the particles and their interactions observed to date can be described by a quantum field theory called the Standard Model.

·         The Standard Model has been found to agree with almost all the experimental tests conducted to date. However, most particle physicists believe that it is an incomplete description of Nature, and that a more fundamental theory awaits discovery. In recent years, measurements of neutrino mass have provided the first experimental deviations from the Standard Model.

·         The Standard Model has 40 species of elementary particles (24 fermions, 12 vector bosons, and 4 scalars), which can combine to form composite particles, accounting for the hundreds of other species of particles discovered since the 1960s.

·         It describes the strong, weak, and electromagnetic fundamental forces, using mediating gauge bosons. The species of gauge bosons are the gluons, W and Z bosons, and photons, respectively.

·         The model contains 24 fundamental particles, which are the constituents of matter.

·         It predicts the existence of a type of boson known as the Higgs boson, which has yet to be discovered.

 

Particle Accelerators

·         Particle accelerators typically cost several billion US dollars and require large amounts of government funding. In 1993, the US Congress stopped the Superconducting Super Collider (SSC) after US$2 billion had already been spent on its construction. Many believe that the decision to stop construction of the SSC was due in part to the end of the Cold War.

·         The completion of the Large Hadron Collider (LHC) in 2007 will continue the search for the Higgs boson, supersymmetric particles, and other new physics.

·         An International Linear Collider (ILC) was proposed in 2004, but the site has still to be agreed upon.

In particle physics, the major international collaborations are:

·         Brookhaven National Laboratory on Long Island, USA. Its main facility is the Relativistic Heavy Ion Collider which collides heavy ions such as gold ions (it is the first heavy ion collider) and protons.

·         Budker Institute of Nuclear Physics (Novosibirsk, Russia)

·         CERN, near Geneva, Switzerland. Its main project is now the Large Hadron Collider, which is currently under construction. The LHC will be in operation in 2007 and will be the world's most energetic collider upon completion. Earlier facilities include the Large Electron Positron collider, which was stopped in 2001 and is now dismantled to give way for LHC; and SPS, or the Super Proton Synchrotron.

·         DESY in Hamburg, Germany. Its main facility is HERA, which collides electrons or positrons and protons.

·         Fermilab, near Chicago, USA. Its main facility is the Tevatron, which collides protons and antiprotons and is presently the highest energy particle collider in the world.

·         KEK in Tsukuba, Japan. It is the home of a number of interesting experiments such as K2K, a neutrino oscillation experiment and Belle, an experiment measuring the CP-symmetry violation in the B-meson.

·         SLAC, near Palo Alto, USA. Its main facility is PEP-II, which collides electrons and positrons.

 

Fermions (half-integer spin)

·         Fermions are the basic building blocks of all matter.

·         Fermions have half-integer spin; for all known elementary fermions this is ˝.

·         Each fermion has its own distinct antiparticle.

·         They are classified according to whether they interact via the color force or not.

·         According to the Standard Model, there are 12 flavors of elementary fermions: six quarks and six leptons.

·         Quarks interact via the color force. Their respective antiparticles are known as antiquarks. Quarks exist in six flavors:

Generation

Name/Flavor

Electric charge (e)

Mass (MeV)

Antiquark

1

Up

(u)

+2/3

1.5 to 4

antiup quark

(\overline{u})

Down

(d)

−1/3

4 to 8

antidown quark

(\overline{d})

2

Strange

(s)

−1/3

80 to 130

antistrange quark

(\overline{s})

Charm

(c)

+2/3

1,150 to 1,350

anticharm quark

(\overline{c})

3

Bottom

(b)

−1/3

4,100 to 4,400

antibottom quark

(\overline{b})

Top

(t)

+2/3

171,400 ± 2,100[1]

antitop quark

(\overline{t})

·         Leptons do not interact via the color force. Their respective antiparticles are known as antileptons (although the antiparticle of the electron is called the positron for historical reasons). Leptons also exist in six flavors:

Charged lepton / antiparticle

 

Neutrino / antineutrino

Name

Symbol

Electric charge (e)

Mass (MeV)

 

Name

Symbol

Electric charge (e)

Mass (MeV)

Electron/ Positron

e^- \, / \, e^+

−1 / +1

0.511

 

Electron neutrino / Electron antineutrino

\nu_e \, / \, \overline{\nu}_e

0

< 0.0000022

Muon

\mu^- \, / \, \mu^+

−1 / +1

105.7

 

Muon neutrino / Muon antineutrino

\nu_\mu \, / \, \overline{\nu}_\mu

0

< 0.17

Tau lepton

\tau^- \, / \, \tau^+

−1 / +1

1,777

 

Tau neutrino / Tau antineutrino

\nu_\tau \, / \, \overline{\nu}_\tau

0

< 15.5

·         Note that the neutrino masses are known to be non-zero because of neutrino oscillation, but their masses are sufficiently light that they have not been measured directly as of 2006.

Bosons (integer spin)

·         Bosons have whole number spins. The fundamental forces of nature are mediated by gauge bosons, and mass is hypothesized to be created by the Higgs boson. According to the Standard Model the elementary bosons are:

 

Name

Charge (e)

Spin

Mass (GeV)

Force mediated

Photon

0

1

0

Electromagnetism

W±

±1

1

80.4

Weak nuclear

Z0

0

1

91.2

Weak nuclear

Gluon

0

1

0

Strong nuclear

Higgs

0

0

>112

See below

·         The Higgs boson (spin-0) is predicted by electroweak theory, and is the only Standard Model particle not yet observed. In the Higgs mechanism of the Standard Model, the massive Higgs boson is created by spontaneous symmetry breaking of the Higgs field. The intrinsic masses of the elementary particles (particularly the massive W± and Z0 bosons) would be explained by their interactions with this field. Many physicists expect the Higgs to be discovered at the Large Hadron Collider (LHC) particle accelerator now under construction at CERN.

·         Supersymmetric theories predict the existence of more particles, none of which have been confirmed experimentally as of 2006.

 

Hadrons

·         Hadrons are defined as composite particles which are strongly interacting. Hadrons are either composites of:

o        Fermions, in which case they are called baryons.

o        Bosons, in which case they are called mesons.

·         Quark models, first proposed in 1964 independently by Murray Gell-Mann and George Zweig (who called quarks "aces"), describe the known hadrons as composed of valence quarks and/or antiquarks, tightly bound by the color force, which is mediated by gluons. A "sea" of virtual quark-antiquark pairs is also present in each hadron.

Mesons

·         Ordinary mesons contain a valence quark and a valence antiquark, and include the pion, kaon, the J/ψ, and many other types of mesons

Baryons

·         Ordinary baryons (fermions) contain three valence (up/down) quarks or three valence antiquarks each.

·         Nucleons are the fermionic constituents of normal atomic nuclei:

o        Protons

o        Neutrons

·         Hyperons such as the Λ, Σ, Ξ, and Ω particles, which contain one or more strange quarks, are short-lived and heavier than nucleons. Although not normally present in atomic nuclei, they can appear in short-lived hypernuclei.

·         A number of charmed and bottom baryons have also been observed.

 

Nuclear Reactions

·         A nuclear reaction is a process in which two nuclei or nuclear particles collide, to produce different products than the initial products. For example: 63Li + 21H → 42He + 42He

·         Many particles appear in reactions so often that they are usually abbreviated. Thus, a helium nucleus (also known as an alpha particle) is written with the Greek letter "α". Deuterons (heavy hydrogen, 21H) are written simply as "d".

·         The energy released in a nuclear reaction can appear mainly in one of three ways: kinetic energy of the product particles , emission of very high energy photons, called gamma rays, or some energy may remain in the nucleus, as a metastable energy level. When the product nucleus is metastable, this energy is eventually released through nuclear decay.

·         Energy may be released during the course of a reaction or energy may have to be supplied for the reaction to take place. This can be calculated by adding the atomic weights on each side of the reaction. Using Einstein's famous "E=mc˛" formula, we can work out how much energy has been released or required, as one atomic mass unit is equivalent to 931 MeV

·         In the initial collision which begins the reaction, the particles must approach closely enough so that the short range strong force can affect them. As most common nuclear particles are positively charged, this means they must overcome considerable electrostatic repulsion before the reaction can begin. Thus, such particles must be first accelerated to high energy, for example by:

·         Particle accelerators

·         Nuclear decay (alpha particles are the main type of interest here, since beta and gamma rays are rarely involved in nuclear reactions)

·         Thermonuclear reactions producing very high temperatures, on the order of millions of degrees

·         Cosmic rays

·         Reactions between heavy nuclei require higher initiating energy than light nuclei.

·         Neutrons, on the other hand, have no electric charge to cause repulsion, and are able to effect a nuclear reaction at very low energies.

·         While the number of possible nuclear reactions is immense, there are several types which are more common, or otherwise notable. Some examples include:

·         Fusion reactions: Two light nuclei join to form a heavier one, with additional particles (usually protons or neutrons) thrown off to conserve momentum.

·         Fission reactions: A heavy nucleus, spontaneously or after absorbing additional particles (usually neutrons), splits into two or sometimes three pieces. (α decay is not usually called fission.)

·         Spallation: A nucleus is hit by a particle with sufficient energy and momentum to knock out several small fragments or, smash it into many fragments

 

Nuclear Fission

·         Nuclear fission is a process in which the nucleus of an atom splits into two or more smaller nuclei and some by-product particles. The by-products include free neutrons, photons usually in the form gamma rays, and other nuclear fragments such as beta particles and alpha particles. Fission is an exothermic reaction and can release substantial amounts of useful energy both as gamma rays and as kinetic energy of the fragments (heating the material where fission takes place).

·         Many heavy elements, such as uranium, thorium, and plutonium, undergo both spontaneous fission, a form of radioactive decay and induced fission, a form of nuclear reaction.

·         Nuclear fission differs from other forms of radioactive decay in that it can be harnessed and controlled via a chain reaction: free neutrons released by each fission event can trigger yet more events, which in turn release more neutrons and cause more fissions.

·          Isotopes that can sustain a fission chain reaction are called nuclear fuels, and are said to be fissile.

·         The most common nuclear fuels are 235U (Uranium-235) and 239Pu (Plutonium-239).

·         Nuclear fuels break apart into a range of chemical elements with atomic masses near 100 (fission products).

·         Most nuclear fuels undergo spontaneous fission only very slowly, decaying mainly via an alpha/beta decay chain over periods of millennia to eons.

·         Until the early 1970s there was little reason to think that nuclear fission had ever occurred naturally on Earth. In 1972, however, French scientists found something odd in a group of uranium ore samples from a mine in Gabon, Africa. In uranium ore the ratio of two particular isotopes, U 235 and U 238, is consistent. What the French scientists found in the ore from the Oklo uranium mine was less uranium 235 than expected—a very small, but important discrepancy that had to be investigated. Eventually they concluded that what had been found was a cluster of natural nuclear fission reactors, now known collectively as the Oklo Fossil Reactors.

·         Nuclear fission produces energy for nuclear power and to drive explosion of nuclear weapons.

·         In a nuclear reactor or nuclear weapon, most fission events are induced by bombardment with another particle such as a neutron.

·         Chain reactions release energy at a controlled rate in a nuclear reactor or at a very rapid uncontrolled rate in a nuclear weapon

·         The amount of free energy contained in nuclear fuel is millions of times the amount of free energy contained in a similar mass of chemical fuel such as gasoline. However, the waste products of nuclear fission are highly radioactive and remain so for millennia, giving rise to a nuclear waste problem.

·         The energy of nuclear fission is released as kinetic energy of the fission products and fragments, and as electromagnetic radiation in the form of gamma rays; in a nuclear reactor, the energy is converted to heat as the particles and gamma rays collide with the atoms that make up the reactor and its working fluid, usually water or occasionally heavy water.

History

·         1934 The first studies by Enrico Fermi of the bombardment of uranium by neutrons had proved puzzling and were not properly interpreted until several years later.

·         1939 Danish physicist Niels Bohr arrived in the United States to spend several months in Princeton, New Jersey to discuss some abstract problems with Albert Einstein. (Four years later Bohr was to escape to Sweden from Nazi-occupied Denmark in a small boat). Just before Bohr left Denmark, two of his colleagues, Otto Robert Frisch and Lise Meitner (both refugees from Germany), had told him their guess that the absorption of a neutron by a uranium nucleus sometimes caused that nucleus to split into approximately equal parts with the release of enormous quantities of energy, a process that they dubbed "nuclear fission".

·         The occasion for this hypothesis was the important discovery of Otto Hahn and Fritz Strassmann in Germany in 1939 which proved that an isotope of barium was produced by neutron bombardment of uranium. Bohr had promised to keep the Meitner/Frisch interpretation secret until their paper was published to preserve priority, but on the boat he discussed it with Léon Rosenfeld, but forgot to tell him to keep it secret. Rosenfeld immediately upon arrival told everyone at Princeton University, and from them the news spread by word of mouth to neighboring physicists including Enrico Fermi at Columbia University. As a result of conversations among Fermi, John R. Dunning, and G. B. Pegram, a search was undertaken at Columbia for the heavy pulses of ionization that would be expected from the flying fragments of the uranium nucleus. From this time on there was a steady flow of papers on the subject of fission, so that by December 1939 nearly one hundred papers had appeared.

·         A major focus of early fission research was on producing a controllable nuclear chain reaction, which would mark the first harnessing of nuclear power. This led to the development of Chicago Pile-1, the world's first man-made critical nuclear reactor (which used uranium, the only natural nuclear fuel available in macroscopic quantities), and then to the Manhattan project to develop a nuclear weapon.

Nuclear Reactors

·         Power reactors are intended to produce heat for nuclear power, either as part of a generating station or a local power system such as a nuclear submarine.

·         Research reactors are intended to produce neutrons and/or activate radioactive sources for scientific, medical, engineering, or other research purposes.

·         Breeder reactors are intended to produce nuclear fuels in bulk from more abundant isotopes. The most common type makes 239Pu (a nuclear fuel) from the naturally very abundant 238U (not a nuclear fuel).

 

Nuclear Fusion

·         Nuclear fusion is the process by which multiple nuclei join together to form a heavier nucleus. It is accompanied by the release or absorption of energy depending on the masses of the nuclei involved. Iron and nickel nuclei have the largest binding energies per nucleon of all nuclei and therefore are the most stable. The fusion of two nuclei lighter than iron or nickel generally releases energy while the fusion of nuclei heavier than iron or nickel absorbs energy; vice-versa for the reverse process, nuclear fission.

·         Building upon the nuclear transmutation experiments of Ernest Rutherford done a few years earlier, fusion of light nuclei (hydrogen isotopes) was first observed by Mark Oliphant in 1932, and the steps of the main cycle of nuclear fusion in stars were subsequently worked out by Hans Bethe throughout the remainder of that decade.

·         Nuclear fusion of light elements releases the energy that causes stars to shine and hydrogen bombs to explode.

o        The fusion process which powers the stars is the fusion of four protons into one alpha particle, with the release of two positrons, two neutrinos (which changes two of the protons into neutrons), and energy, but several individual reactions are involved, depending on the mass of the star. For stars the size of the sun or smaller, the proton-proton chain dominates. In heavier stars, the CNO cycle is more important. Both types of processes are responsible for the creation of new elements as part of stellar nucleosynthesis.

o        Nuclear fusion of heavy elements (absorbing energy) occurs in the extremely high-energy conditions of supernova explosions. Nuclear fusion in stars and supernovae is the primary process by which new natural elements are created.

o        The only fusion reactions thus far produced by humans to achieve ignition are those which have been created in hydrogen bombs. 

o        Controlled nuclear fusion as a source of usable energy is still being investigated.

·         It takes considerable energy to force nuclei to fuse, even those of the lightest element, hydrogen. But the fusion of lighter nuclei, which creates a heavier nucleus and a free neutron, will generally release more energy than it took to force them together—an exothermic process that can produce self-sustaining reactions

·         A very substantial energy barrier must be overcome before fusion can occur. As two nuclei approach each other, all the protons in one nucleus repel all the protons in the other. Not until the two nuclei actually come in contact can the strong nuclear force overcome the electrostatic repulsion. Consequently, even when the final energy state is lower, there is a large energy barrier that must first be overcome, called the Coulomb barrier.

o        The Coulomb barrier is smallest for isotopes of hydrogen - they contain only a single positive charge in the nucleus.

o        Using deuterium-tritium fuel, the resulting energy barrier is about 0.1 MeV.

o        If the energy to initiate the reaction comes from accelerating one of the nuclei, the process is called beam-target fusion; if both nuclei are accelerated, it is beam-beam fusion.

o        If the nuclei are part of a plasma near thermal equilibrium, one speaks of thermonuclear fusion. Temperature is a measure of the average kinetic energy of particles, so by heating the nuclei they will gain energy and eventually have enough to overcome this 0.1 MeV barrier. Converting the units between electronvolts and kelvins shows that the barrier would be overcome at a temperature in excess of 1 GK, obviously a very high temperature.

o        There are two effects that lower the actual temperature needed. One is the fact that temperature is the average kinetic energy, implying that some nuclei at this temperature would actually have much higher energy than 0.1 MeV, while others would be much lower. The other effect is quantum tunneling. The nuclei do not actually have to have enough energy to overcome the Coulomb barrier completely. If they have nearly enough energy, they can tunnel through the remaining barrier. For this reason fuel at lower temperatures will still undergo fusion events, at a lower rate.

·         The fusion reaction can sustain itself if enough of the energy produced goes into keeping the fuel hot. This is done by concentrating the fuel, known as confinement

o        In the case of stars, the gravitational force produces the energy necessary for confinement

o        Magnetic confinement: Since plasmas are very good electrical conductors, magnetic fields can also confine fusion fuel. A variety of magnetic configurations can be used, the most basic distinction being between mirror confinement and toroidal confinement, especially tokamaks and stellarators

o        Inertial confinement: Applying a rapid pulse of explosive energy to the surface of a pellet of fusion fuel will cause it to simultaneously "implode" and heat to very high pressure and temperature. Inertial confinement is used in the hydrogen bomb, where the driver is x-rays created by a fission bomb. Inertial confinement is also attempted in "controlled" nuclear fusion, where the driver is a laser, ion, or electron beam, or a Z-pinch

Radioactivity

·         Radioactivity was found to be caused by atoms breaking down and emitting three different types of rays: Alpha, Beta and Gamma Rays.

·         Alpha Rays were shown to be a Helium nucleus.

·         Beta Rays were shown to be very fast electrons.

·         Gamma Rays were found to be very short wave electromagnetic radiation (photons), more penetrating and of shorter wavelength than even X-Rays.

·         Uranium and other radioactive elements emit alpha particles or beta particles from their nuclei when they transform into new elements. An instant later, these nuclei may give off gamma rays.

·         A nucleus may also emit a gamma ray alone in an isomeric transition in which the composition of the nucleus does not change but the nucleus merely loses a certain amount of energy

·         Most radioactive nuclei are therefore relatively young, having formed in stars (particularly supernovae) and during ongoing interactions between stable isotopes and energetic particles.  Carbon-14, a radioactive nuclide with a half-life of only 5730 years, is constantly produced in Earth's upper atmosphere due to interactions between cosmic rays and Nitrogen.

·         The decay rate, or activity, of a radioactive substance is characterized by its half life (t1 / 2) - the time for half of a substance to decay

·          

History

·         1896 Henri Becquerel discovers radioactivity in uranium salts. Following the discovery of X-rays which was accompanied by a type of phosphorescence in the vacuum tube, Becquerel decided to investigate whether there was any connection between X-rays and naturally occurring phosphorescence. Phosphorescent materials glow in the dark after exposure to light, and he thought that the glow produced in cathode ray tubes by X-rays might somehow be connected with phosphorescence. So he tried wrapping a photographic plate in black paper and placing various phosphorescent minerals on it. All results were negative until he tried using uranium salts. The result with these compounds was a deep blackening of the plate. There was some new form of radiation that could pass through paper that was causing the plate to blacken. After experimenting with various substances, he concluded that the radiation came from any substances containing uranium, whether they fluoresced or not, and was a property of the uranium atom. He found the intensity of the radiation increased with the amount of uranium present, and did not appear to change in intensity with time, or temperature, or chemical action. Like x-rays, the radiation was ionizing. If a piece of uranium is held near an electroscope, the electroscope discharges. They differed from X-rays in that they could be deflected by electric or magnetic fields but couldn't be turned off. Becquerel was awarded half of the Nobel Prize for Physics in 1903, the other half was given to Pierre and Marie Curie.

·         It was found that an electric or magnetic field could split radioactive emissions into three beams. The rays were given the names alpha, beta, and gamma. It was obvious from the direction of electromagnetic forces that alpha rays carried a positive charge, beta rays carried a negative charge, and gamma rays were neutral. From the magnitude of deflection, it was also clear that alpha particles were much more massive than beta particles. Passing alpha rays through a thin glass membrane and trapping them in a discharge tube allowed researchers to study the emission spectrum of the resulting gas, and ultimately prove that alpha particles are in fact helium nuclei. Other experiments showed the similarity between beta radiation and cathode rays; they are both streams of electrons, and between gamma radiation and X-rays. Alpha particles are completely stopped by a sheet of paper, beta particles by an aluminum plate. Gamma rays however, can only be reduced by much more substantial obstacles, such as a very thick piece of lead.

·         1898 Marie Curie discovers the radioactive elements radium and polonium. The mineral pitchblende, rich in uranium oxide, was found to be more radioactive than pure uranium metal. Marie concluded that it must contain some other element that was more radioactive than uranium. In 1898, the Curies chemically separated out a new element they called polonium, after Marie's country of birth, Poland. They measured its radioactivity as four hundred times more intense than that from pure uranium. Six months later, they chemically separated out from pitchblende another radioactive substance more than one million times more radioactive than uranium. They called it radium. One gram of radium gives out enough energy to raise one gram of water from just above freezing to boiling in one hour. Where this energy could be coming from was a complete mystery. It was hard to imagine how the energy could be stored in the material.

·         1899 Ernest Rutherford studied absorption of the Becquerel rays, and found that one component, which he called the alpha-rays, could be absorbed by a sheet of writing paper, or a few centimeters of air. In fact, Becquerel had not detected these alphas, because they were absorbed by the box containing the film. A second component, the beta rays, Rutherford found to be one hundred times more penetrating.

·         By 1900 because of their deflection by a magnetic field it was found that the beta rays were negatively charged particles. Becquerel found e/m for beta rays to be quite close to that for cathode rays, suggesting that they also were electrons. One difference between the beta rays and cathode rays was that the beta rays could be much faster - up to 95% of the speed of light. The interesting historical point here is that physicists already expected that mass might change with speed. In 1908, a German experimenter, Bucherer, claimed that the best fit to the e/m data was given by Einstein's much simpler recent formula for mass variation with speed.

·         Alpha radiation proved more difficult to identify. At first the alphas were thought to be electrically neutral, because there was no observed deflection as they shot through a magnetic field. It became clear later that this lack of deflection was because the alphas were much more massive than the betas (electrons). In 1903 Rutherford found the alphas were in fact deflected slightly, and in the opposite direction to the electrons, so they were positively charged. By 1905, he had found e/m, and concluded that if the charge on an alpha was the same as that on a hydrogen ion, the mass of the alpha was approximately twice that of the hydrogen atom. In 1908, he finally established that the alphas were helium atoms with two electrons missing, carrying charge 2e, and having mass four times that of the hydrogen atom.

·         1904 General theory of radioactivity is proposed by Rutherford and Soddy. Rutherford proposes that controlled fission of heavy elements could release enormous energies

·         1908 The Geiger counter is invented in Germany by J.W. Geiger

·         1911 Georg von Hevesy conceives the idea of using radioactive tracers. This idea is later applied to, among other things, medical diagnosis. Von Hevesy wins the Nobel Prize in 1943.

·         Acute effects of radiation were first observed in the use of X-rays when an Serbo-Croatian-American electric engineer Nikola Tesla intentionally subjected his fingers to X-rays in 1896. He published his observations concerning the burns that developed, though he attributed them to ozone rather than to the X-rays. Fortunately his injuries healed later. The genetic effects of radiation, including the effects on cancer risk, were recognized much later. It was only in 1927 that Hermann Joseph Muller published his research that showed the genetic effects. Before the biological effects of radiation were known, many physicians and corporations had begun marketing radioactive substances as patent medicine and Radioactive quackery; particularly alarming examples were radium enema treatments, and radium-containing waters to be drunk as tonics. Marie Curie spoke out against this sort of treatment, warning that the effects of radiation on the human body were not well understood (Curie later died from aplastic anemia assumed due to her own work with radium, but a better candidate for her disease was her long exposure to unshielded X-ray tubes while a volunteer medical worker in WW I). By the 1930's, after a number of cases of bone-necrosis and death in enthusiasts, radium-containing medical products had all but vanished from the market.

Radioactive Decay

·         Radioactive decay is the set of various processes by which unstable atomic nuclei emit subatomic particles (radiation). This is a random process, i.e. it is impossible to predict the decay of individual atoms

·         Quantum-mechanical particles are never at rest; they are in continuous random motion. If its constituent particles move in concert, the nucleus can spontaneously destabilize. The resulting transformation alters the structure of the nucleus

 

 

Relativity

·         In the 1800s the procession of Mercury was described: as Mercury went around its orbit, its entire orbit rotated as well. People thought that another planet was causing it to deviate from its predicted (Newtonian) path, but this hypothetical planet (originally called Vulcan) was never seen. Newton's theories worked with all other known phenomena so the tiny discrepancy in Mercury's orbit was forgotten.

·         1889 Michelson-Morley Experiment.

o        After the development of Maxwell's theory of electromagnetism, it was postulated that since light traveled as a wave, it would have to travel through some substance (like waves in water). Since there was no logical answer to what this was, an ancient idea was revived: the aether. Several experiments were performed to prove the existence of aether (through which light would travel as a wave) and its motion relative to the Earth.

o        Albert Michelson and Edward Morley set up an experiment to measure the “drag” of the aether on the Earth and thus prove its existence. They measured the speed of a light beam traveling parallel to the direction of the Earth's motion and compared that to a light beam traveling perpendicular to the Earth's motion. The aether idea predicted that light would have a slightly different speed in the two directions. Michelson and Morley found no difference in the speed of light in two perpendicular directions. They repeated the experiment many times but eventually they gave up and published their experiments describing them as a failure. This leads to Einstein’s two basic assumptions below.

·         1905 Albert Einstein develops The Special Theory of Relativity.

o        The theory of relativity did away with the following assumption of Newtonian physics:

o        Time is constant and the same for all observers

o        There is no limit to how fast something can go

o        Matter and energy are two separate phenomena

o        The mass and length of a body are fixed.

o        Einstein made two basic assumptions:

o        Aether does not exist. Light is an oscillation of magnetic and electric fields, not a vibration in a medium. This actually means that you cannot measure absolute speed. Speed is relative between two objects. You can measure your speed relative to the Earth, the Earth's speed relative to the Sun, etc., but you cannot measure your speed absolutely.

o        The velocity of light is constant for all observers. If an object travelling at 100 km/s sends out a beam of light to us and we measure its speed, common sense tells us that we should measure the speed of light to be 300,100 km/s. But no, Einstein says the speed of light will be measured at 300,000 km/s regardless of how the source or the observer is moving. Modern laser techniques cannot measure any difference in the speed of light no matter what speed the source or observer have.

o        Predictions made by the Theory:

o        The mass of an object increases with its velocity. As a body approaches the speed of light its mass approaches infinity. This is where the dictum that nothing can travel faster than light came from. It has been tested with sub-atomic particles and close binary stars and in both cases the mass change agrees with Einstein's predictions. Mercury’s velocity is high enough to increase its mass enough to cause the discrepancy with its orbit observed over half a century before

o        The length of an object decreases with its velocity. Again, Einstein's equations predict that an object's length would become zero at the speed of light. This has been tested indirectly by an experiment depending on something called the Mossbauer Effect.

o        Time slows down for a body that is moving and for one in a gravitational field. At the speed of light all time slows down to zero. Sub-atomic particles last longer before decaying when they are moving close to the speed of light. Energy from Pulsars and White Dwarfs (stars with huge gravitational fields) slow down the vibration of atoms which can be detected. Using Atomic clocks it is possible now to measure these effects on the Earth.

o         Light should bend around a gravitational field. This one is difficult to explain but is to do with time varying near a strong gravitational field. This was first measured during a total eclipse of the sun in 1919. The effect is similar to refraction where a stick appears to bend where it enters water. These so-called gravitational lenses have since been observed amongst distant galaxies. For Cosmology, if there is enough matter in the Universe, a beam of light will eventually return to its starting point.

o        Matter and Energy are the same phenomenon, E=mc2. Matter can thus be converted into a very large amount of energy, i.e. the atomic bomb. This prediction also indicates that if the Universe were static it would be unstable, and a few years after this prediction was made the Universe was found to be expanding.

·         1915 Einstein’s General Theory of Relativity.

 

 

 

 

 

Quantum Mechanics

·         The Newtonian (or Classical) description of the atom, with protons and neutrons in a nucleus surrounded by electrons, violated Maxwell's Laws of Electromagnetism. Under those laws, an electrically charged object (like an electron) that was changing direction (in orbit around the nucleus of an atom) should be radiating energy away until it spiraled into the nucleus. Atoms only absorb specific wavelengths of energy: sodium radiated yellow light (hence its use in street lamps), potassium radiated lilac (hence the color of fireworks). This was a major flaw in the physics of the turn of the century. Physics had other phenomena that didn't work as predicted: a hot, glowing body radiated energy at a given temperature (the Black Body Problem); metals produced electricity when light shone on them (the Photoelectric Effect); the way atoms decayed when they were radioactive.

·         1900 Max Planck’s Quantum Theory. Most people at the turn of the century thought of light as a wave. Planck was studying the “black box problem”: the laws of physics predicted that if you heat up a box in such a way that no light can get out (known as a "black box"), it should produce an infinite amount of ultraviolet radiation.  But in real life the box radiated different colors, red, blue, white, just as heated metal does, but there was no infinite amount of anything. Planck presumed that the light wasn't a continuous wave, but radiated only specific amounts, or quanta, of energy.  Planck didn't really believe this was true about light, in fact he later referred to this mathmatical gimmick as "an act of desperation."  But with this adjustment, the equations worked, accurately describing the box's radiation.

·         1905 Einstein applied Planck's quantum idea to explain the Photoelectric Effect. It was as if in some experiments (refraction, diffraction) light was clearly a wave; in others (black body radiation, the photoelectric effect) it was a particle. This effect was known as wave-particle duality.

·         1912 Louise de Broglie, suggested that if energy could behave as both particles and waves, perhaps matter could also. He predicted that under the right conditions a beam of electrons (clearly matter made of particles) might show wave properties. When the experiment was performed, a beam of electrons was found to diffract just like a wave. It looked like energy and matter could both exhibit wave-particle duality

·         1913 Ernest Rutherford proposed that all matter consisted of these three particles referred to as elementary particles: protons, neutrons, and electrons

·         1913 Niels Bohr published a theory about the structure of the atom based on an earlier theory of Rutherford's. Rutherford had shown that the atom consisted of a positively charged nucleus, with negatively charged electrons in orbit around it. Bohr expanded upon this theory by proposing that electrons travel only in certain successively larger orbits. He found that for an electron to have a stable orbit, the orbit had to include a whole-number of the electron's wave.  He suggested that the outer orbits could hold more electrons than the inner ones, and that these outer orbits determine the atom's chemical properties. Bohr also described the way atoms emit radiation by suggesting that when an electron jumps from an outer orbit to an inner one, that it emits light. An electron could have a stable orbit, so that it would not lose energy and spiral in to the nucleus. If an electron absorbed or radiated energy, it would do so in discreet amounts so that it would move to another stable orbit. The analogy is a staircase: you can only stand on the steps, not in the region between steps. Later other physicists expanded his theory into quantum mechanics

·         1919 Protons are discovered

·         1925 Erwin Schrodinger and Werner Heisenberg separately describe quantum mechanics. The 'position' of a particle like an electron is given by a probability. Electrons exist in energy states. When they absorb energy, they absorb a whole number of quanta, disappear, appearing at a different energy state. Gone is the idea of little ball-like particles. The orbit of an electron is a cloud of probability around the nucleus.

·         The Heisenberg Uncertainty Principle states on a subatomic level it is impossible to simultaneously measure the speed and the position of an electron. If the speed is well-established then there simply does not exist a well-established position (the electron is smeared out like a wave) and vice versa.

·         A zero energy is impossible since it would be a precise state. This is the reason that nothing can be cooled below -273 degrees C (Absolute Zero). An atom must retain at least one quantum of energy and this keeps it from cooling below Absolute Zero. This means that nothing can ever be at rest.

·         Albert Einstein disliked this idea.  When confronted with the notion that the laws of physics left room for such vagueness he announced: "God does not play dice with the universe."

·         Quantum Mechanics is used to understand phenomena like radioactivity, chemical bonding, semi-conductors, solid-state micro-chips, electronics, sub-atomic physics, radiation from black holes, and many others.

·         1926 Berkeley physicist Gilbert Lewis named quanta of light photons

·         1928 Paul Dirac predicted that all particles should have opposites called anti-particles.

·         1930 The Cyclotron is developed by Ernest O. Lawrence, U.S. physicist

·         1931 Harold C. Urey discovers heavy hydrogen

·         1932 Chadwick and Carl Anderson  describe neutrons and positrons.  A positron is identical in every respect to the electron apart from its positive electric charge. When an electron and positron come into contact, they mutually annihilate each other producing a flood of energy in accordance with Einstein's equation E=mc2. Both the proton and the neutron have anti-particles. These also destroy each other if they meet with their particle.

·         The Universe is made up of ordinary matter which is made up from particles. Matter composed of anti-particles is known as anti-matter. Anti-matter can be created in the laboratory but does not last long as it quickly comes into contact with ordinary matter and is destroyed.

·          1938 Two German scientists, Otto Hahn and Fritz Strassman, demonstrate nuclear fission.

·         1942  Enrico Fermi achieves a controlled nuclear chain reaction at the University of Chicago, in a crude graphite-moderated reactor built on a vacant squash court

 

 

Positrons

·         When an oxygen-15, nitrogen-13 or carbon-11 atom undergoes radioactive decay, it emits a positron—a positively charged particle that is the antimatter counterpart of the electron. The positron does not get far before it collides with an electron, and the two particles annihilate each other. Their mass is converted into energy in the form of two photons that travel in opposite directions from the site of the collision. Using detectors to look out for the near-simultaneous arrival of pairs of photons, it is possible to work out where the positrons are being emitted and form an image of the tissues where the radioactive atoms have accumulated

·         One of the first medical studies that attempted to take advantage of the unique physics of positron emitters was reported in the early 1950s by Gordon Brownell and William Sweet of the Massachusetts General Hospital in Boston. By using two opposing detectors, the near-simultaneous arrival of pairs of photons could be recorded and counted. As the detectors moved in a raster-like fashion up and down on opposite sides of the head, increased count rates revealed the site of a brain tumour in which the radioactive atoms had accumulated.

·         Two obstacles, however, hampered the use of biologically important positron emitters for some time. The first was that the radioactive elements in question decay very quickly. This is a good thing from the patient's point of view, since it minimizes the dose of radiation, but it means that the radiotracers must be manufactured very close to the imaging system. And that highlights the second obstacle: such positron emitters must be made in a expensive cyclotron (a type of particle accelerator). Clinical PET would probably not have succeeded without the development of a new radiotracer, a sugar molecule tagged with the radioactive isotope fluorine-18. Fluorodeoxyglucose, or FDG for short, turned out to be exceptionally useful for a variety of reasons.

·         In the late 1990s America's Food and Drug Administration (FDA) determined that the most commonly used PET radiotracer was safe and effective. Since then, PET has become an invaluable tool in oncology, often leading to more accurate cancer diagnoses, the detection of recurrent diseases and a better assessment of how patients respond to treatment

·         Around 2.7m scans will take place worldwide this year, up from 2m scans in 2005. Although PET accounts for only a small fraction of all medical imaging, its use is expected to grow by 30% a year over the next few years. (By comparison, 45m CT scans were performed in America last year.)

 

 

 

Structural Engineering

 

 

 

·         2004 The opening of Taipei 101, the tallest skyscraper in the world at 1,676 feet. If measured from the ground to the highest attached component, the Sears Tower is the tallest in the world, but as the antennas are not actually structural; using the official method of ranking heights, which counts decorative spires but not antennas, the tallest towers go in order from Tapei 101, Petronas Towers, and then the Sears Tower

 

 

 

 

 

 

 

 

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Revised: 1/8/07

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