Soon-after the great sucess of Bohr's quantised atomic model, another convincingargument for the Quantum Theory was found by A .Compton while he was studying th escattering of x-rays by matter . X-rays had first been observed by Rtntgen when he wa sexperimenting with a cathode ray tube enclosed in black paper . He noticed some fluorescencein a barium platinocyanide screen nearby, and found that even when variou smaterials were placed between the cathode ray tube and the observation screen, th efluorescence was never radically decreased . He attributed this phenomenon to a ne wradiation, which he named 'x-rrys' . He discovered that x-rays affected photographi cplates, and that they were not easily refracted . For a short time there was controvers yamong scientists about the nature of x-rays, but by 1913 they had been shown to besimilar in nature to light, but with the much shorter wavelength of around 100 pm .The discovery that x-rays were produced whenever fast-moving electrons were stoppe dsoon caused the development of the x-ray tube . In the most primitive of these, electron swere emitted by the bombardment of a cathode with positive ions, as in simple discharg etubes . The newly-produced electrons were then accelerated by the potential differenc ebetween the cathode and the target, which served as an anode . The cathode was concave ,so that only a very small area of the target was bombarded by electrons, thus producin gan almost point source of x-rays . But in 1913, Coolidge made a great improvement on thi sso-called 'cold cathode' tube . He constructed an x-ray tube which used a hot filament _as its source of electrons, which greatly increased the x-ray intensity :obtainable .Using x-rays produced by this new kind of tube, Bragg and others soon initiated suchprinciples as x-ray crystallography and spectrometry .When J .J .Thomson used the comparatively long wavelength x-rays produced by col dcathode tubes to probe into atomic structure, there was no noticeable change in wavelengthwhere the x-rays were scattered by matter . But when later experimenters use dhigher-frequency x-rays, they noticed a considerable change in frequency when thei rx-rays were scattered by some of the lighter elements . In 1923 Compton and Debye foun dthat the only way to explain this increase in wavelength was to assume that x-ray sconsisted of discrete 'packets' of electromagnetic energy, which bounced off individua l<strong>particles</strong> in the atoms of the scattering substance . Using this hypothesis, they foun dthat :'h->.,• m cc (1 - cos 9), where is the new wavelength, is the original wavelength ,m,is the rest mass of the electron, h is Planck's constant, c is the velocity o flight in vacuo, and Q is the angle through which x-ray quanta or photons arescattered . This formula was soon adequately borne out by experimental results for al lvalues of the scatter angle less than 150 0 .Ever since the beginning of the nineteenth century, the wave theory of light hadhad the upper hand over the corpuscular theory, and the latter had been almos tcompletely rejected . But suddenly Einstein showed that the two theories were no tmutually exclusive, and that each had its role in <strong>physics</strong> . In 1923 L .de Brogli erealised that the 'dual' idea of light suggested by Einstein must similarly apply toall other matter, notably electrons . De Broglie knew Einstein's celebrated mass-energ yconversion equation E .- mc z , and, substituting for E in the Planck-Einstein equatio nE- hv, he found that :.X . h /( mv ) ,where m is the mass of an object, v is its velocity, is its ' wavelength', and his Planck's constant . Thus he suggested that any moving particle has a matter wav eassociated with it, and initiated the principle of 'duality' .
Let us now consider the evidence for de Broglie's so-called 'matter waves' . I n1927 C .Davisson and L .Gemmer set up equipment to detect electron diffraction patterns .Electrons were emitted from a heated tungsten filament, and then passed throug hcharged slits which both narrowed the beam, and accelerated it to an energy of betwee n15 and 350 eV . The accelerated electrons struck a nickel crystal at a normal to it sface . The deflected beam was then collected in a receptacle connectedoto a sensitiv eelectrometer, which could be moved ;o as to race angles of between 20 and 90 withthe original beam . Bragg's formula for constructive interference i sd sine=).n ,where d is the distance between neighbouring atoms in the crystal lattic e, n is an ypositive integer, \ is the wavelength of the radiation, and 2 is the angle betwee nthe incident and reflected beams . The interference phenomena observed gave correc tvalues of ). in Bragg's formula, according to the de Broglie equation . In fact ,electrons of the energy used by Davisson and Germer had de Broglie wavelengths of thesame order of magnitude as 'soft' x-rays, and behaved very similarly to Laue-Brag gbeams of x-rays . A similar experiment of rather more dramatic nature was soon performe dby Thomson using the so-called Debye-Scherrer method in x-ray diffraction work .Here, a unidirectional monochromatic beam of x-rays is scattered by a sample consistin gof a large number of very small, randomly orientated crystals . Theory predicted tha tthe diffracted waves would emerge from the group of crystals along the surfaces o fcones, centred about the incident direction . Thus, if the resultant radiation i srecorded by means of a photographic plate placed at a normal to the incident direction ,we receive a series of concentric circles . Thomson caused a beam of cathode rays t opass normally through a very thin film of white tin crystals . About 32 .5 cms fun th esample, there was a photographic plate, on which ima„ee similar to those with x-ray swere obtained . To prove that the image was caused by the electrons themselves, an dnot by a secondary radiation consisting of x-rays or the like, a magnetic field wasapplied to the diffracted beam, and the resultant pattern was found to move position .A slightly easier experiment of the same type as G .Thomson's was soon performed byN .Ponte . Ponte, instead of using delicate crystalline films, used metallic oxide s(for example zinc, magnesium, and cadmium oxide) deposited on a thin metal wire .The fact that x-rays and electrons were found to be diffracted in the same way b ycrystals led to the suggestion that they also behaved similarly in the case of diffractionby a ruled grating . This hypothesis was confirmed by Rupp and 1orsnop in 1920 .The next question was : can larger <strong>particles</strong>, such as gas molecules, also be shown t oexhibit wave characteristics? The de Broglie wavelength for a hydrogen molecule travellingat the most probable velocity at room temperature is 100 pm . T .Johnson investigatedthe reflection of hydrogen by crystals, and found, using a plate smoked withmolybdenum triox_de, which is blackened where it is struck by hydrogen, as his detector,that hydrogen molecules also display wave characteristics . Ellett, Olson, and Kah lsoon performed experiments with mercury, cadmium, and arsenic beams, using roc k sal tcrystals as detectors, and found the same results . Stern, Knauer, and Estee-mane; late rperformed another experiment which demonstrated the diffraction of hydrogen an dhelium molecules . Some gas was ejected from one chamber, through a slit, into anotherchamber, towards a crystal . The first chamber was at a pressure of about 100 pmRg ,while the second was at one of about 10 pmiig . A small movable receptacle was used tocollect the reflected gas molecules, and its pressure was compared with that of th esurrounding volume by means of a Pirani hot-wire manometer . The resu'.ts of this experimentwere in exact agreement with the predictions made by de Broglie . A few years
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charge of the nucleon cloud is slig
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CHAPTER SEVEN : INTERACTIONS .Physi
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of an electromagnetic decay need no
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Different scattering graphs caused
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of radius about 3 x 10 -" m, which
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that the beta decay process of the
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photon, .4•*l, and for the antiph
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should expect some asymmetry in the
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p where L is the orbital momentum o
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about 70°' of the ne utrons . Afte
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We consider an isolated system of n
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on their spins . We find that if we
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device : scalers, which record the
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In appearance, semiconductor partic
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Usually, photons passing through a
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during this short time, worthwhile
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CHAPTER NINE: THE ACCELERATION OF P
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1931 Sloan and Lawrence built a thi
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faster than light . instead, the ph
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employed for each function . In act
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and again by Budker and Veksler in
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BIBLIOGRAPHY .General works :The Ph
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Scalar : .esons may ihplain by the
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Name S J I I s U P GY ND ND 1 ND ND
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A .3 Quark combinations to fora sta
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k.1515e.pr rim
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° Prix.-.,a..u(14751 o IMfon.ly ca
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A .5 Conservation and invariance la
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F_AG Fixed field alternating gradie
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S Scalar gamma matrix product .S En
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Elastic cross—section .Inelastic
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C .3 Compound SI units used in this
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w oE >< k)- c; ev--o ;,o»,--.@r«-
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APPENDIX F : PHYSICAL CONSTANTS .(F