Found inside – Page 73Determination of the molecular vibration tensors T ; ; and Wij For molecules whose internal vibrations are much smaller than their rigid body vibrations in the crystal , the rigid - body translation and rotation vibration tensors Tij and wij can be ... Found inside – Page 108A vibrating quartz crystal is the time base for this watch . A microchip keeps the crystal vibrating . An atomic clock is the most accurate clock ever made . It works by counting the vibrations of certain atoms . These atoms always vibrate at the ... Found inside – Page 20Semiconductors See also Crystal electron states; Magnetoelectric effects; Photoconductivity; Photovoltaic effects. ... 5=12696 films, conductivity measurement, probe method 5–4009 films, electron scatt. by acoustic vibrations 5–9586 films, Hall ... Found inside – Page 37l Department of Physics , Tohoku University , Sendai 980-77 , japan * 2 Material Science Division , Argonne National ... Boron crystals exhibit polar vibrations , despite the fact that the crystal is comprised of the same chemical species . Found inside – Page 142Coarser levels of structure may also exist in which crystal lamellae aggregate to form spherulites , and spherulites of ... In addition the coupled motions of the constituent structural elements of the level range in form from damped vibrations to ... Found inside – Page E-26Perhaps the most amazing thing about quartz crystals is that they generate electricity. If the crystals are squeezed, they bend slightly and produce electricity. In addition, when a small electrical current is put through a crystal, it vibrates. Found inside – Page 405The change in the frequency distribution function and the thermodynamic properties of crystals arising from the presence ... illustrated the application of quantum field theory to the problem of lattice vibrations using the Green's function method . Found inside – Page 640Most crystals lie on their prismatic plane (110). Dichroism on the prismatic plane is violet and brownish red: when the crystal is oriented with its length parallel to the vibration direction of white rays it appears violet, whereas it is red when the ... Found insideThis book provides a comprehensive treatment of the two fundamental aspects of a solid that determine its physical properties: lattice structure and atomic vibrations (phonons). The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. Found inside – Page 377325 Double Refraction Under certain conditions light which enters a crystal is divided into two beams , which are refracted ... When the vibrations are perpendicular to the optic axis , there is one velocity and a corresponding index of refraction . Found inside – Page 231As vibrations of this kind cannot exist in any medium , unless they are ... that a crystal is in contact with a fluid of greater refractive power than ... Found inside – Page 58We must now follow in detail the propagation of the waves through the crystal , and obtain from the theory indications for further experimental tests . Consider the incident vibration of amplitude a at an angle o to the principal plane of the crystal ... Found inside – Page 231In particular the phenomena observed in the Raman scattering from crystals which lack a centre of inversion are related to the theory . The article also discusses how the angular variations of the scattering by any type of lattice vibration in a ... Found inside – Page 320This work is a first step toward calculating the potential functions which govern crystal vibrations from a fundamental understanding of how the ground ... Found inside – Page 255NUMERICAL RESULTS : are we Since the numerical values of the physical constants of crystal classes considered ... Mindlin , R. D. , ( 1952 ) , ' Forced Thickness - shear and Flexural Vibrations of Piezoelectric Crystal Plates ' , Journal of ... Found inside – Page 54However , good single crystals of these materials have not , as yet , been obtained ... In a molecular crystal there are not only intramolecular vibrations ... Found inside – Page 481The important volume imperfections which are common to large numbers of crystals are as follows : lattice vibrations ( phonons ) , free electrons and holes in insulators , excitons in insulators , vacant lattice sites and interstitial atoms , impurity ... Found inside – Page 101Equation 7 is actually not true for noncubic crystals ( 14 ) or for crystals with more than one atom per unit cell ... above , the scattering cross section of graphite , for example , follows directly from the phonon spectrum of the lattice vibrations . Found inside – Page 328If alternating differences of potential are applied to the crystal the corresponding deformations can be made to cause air vibrations by suitably fitting a paper cone to it . THE SCIENCE MUSEUM : Copies of some Early Scientific Instruments . Found inside – Page 59The mathematical apparatus for the factorization of matrices used in an analysis of the vibrations of one - dimensional helical chain is applied to theoretical calculations of spectra of three - dimensional crystals consisting of regular polymer ... Found inside – Page 113This kind of diffusion to the elastic properties of the crystal . When in the solid state can take place in some metals the atoms are joined into molecules , not only and can be detected by making a few of the will the molecules vibrate individually ... Found inside – Page 1130 plw , l ) = lep , ( w ) + ( 1 - l ? e , ( w ) , and piw ) and Pi ( w ) are the frequency spectra or vibration perpendicular and parallel , respectively , to the basal planes of the crystal . In Equation ( 7 ) l is the cosine of the angle between the normal to ... Crystal Healing for Horses offers a modern, scientific approach to the ancient practice of using the power of crystal vibrations to rebalance energy fields. Found inside – Page 27Chemistry Physical Chemistry The two - photon excitation spectrum of phenanthrene crystal . Hiroshi ... 2 K were observed and many vibronic bands coupled with u vibrations were analyzed by polarization measurements for single crystals . Found inside – Page 388How long Germany expects to fight may be indicated by the reckreflects it to a small photoelectric cell , crystal vibrations , it is claimed that the life of the record is increased at least lessness or caution shown toward Danish creating in the cell ... Found inside – Page 70This involves both the regularity of the earth as providing the ultimate standard, and that of the quartz crystal clocks ... of broadcast radio frequencies inherently involves time —since frequency, by definition, means the number of vibrations per ... Found inside – Page 766In a longitudinal wave, the vibrations of the particles of the medium are along the direction ... Here we shall do it with the help of a tourmaline crystal. Found inside – Page 68 ) In formulating the energy of the thermal motion in a crystal no attempt is made here for preciseness . Accordingly , neither the refinement recently made by Born ' s school on the theory concerning the lattice vibration nor the treatment made ... Found inside – Page 67With quartz This is because the vibrations are too crystal vibrators , sounds a thousand slow , less than 16 a second . times as intense as a violent crack of If you could vibrate something in thunder have been produced . front of you at a ... Found inside – Page 16The crystal size ranged about 35 mm x 8 mm x 6 mm . The results are reported . 2 illus , 2 tables , 7 ref . sophisticated instruments were used in a laboratory environment where the random vibration input Power Spectral Density ( PSD ) values ... Found inside – Page 5Ozawa , T .; Hayakawa , Y .; Kumagawa , M. ( 1991 ) : Growth of III - V ternary and quaternary mixed crystals by the ... M. ( 1985 ) : Effect of ultrasonic gawa , M. ( 1997 ) : Computational analysis of growth rate for vibrations on pulled crystals . Found insideIndian Science Congress Association ... Vibrations of orthorombic , tetragonal , trigonal , hexagonal and cubic crystals and the effect of temperature on the vitration characteristics of crystal plates SASADHAR DE , Allahabad In ibis paper , the ... I found the possible scientific basis for Crystal Healing and I describe my research and finding in a step-by-step fashion in this book. Found inside – Page 38Finally , on the bais of our own experience , we propose some points for attention in operating . 535.1–86.177 The Composition Effects of Raman Spectra of BNN Crystals and Their Lattice Vibrations Analyses by Means of Group Theory , Gong ... Found inside – Page 328If alternating differences of potential are applied to the crystal the corresponding deformations can be made to cause air vibrations by suitably fitting a paper cone to it . THE SCIENCE MUSEUM : Copies of some Early Scientific Instruments . Found inside – Page 1871In theory , however , the corresponding pressure changes that make the frequency of an ultrasonic wave is unlimited . crystal vibrate . Found inside – Page 132This produces a weak electric current whose strength varies, depending upon the amount and speed of the needle's vibrations. In other record players, the vibrating needle causes a small crystal to be twisted. The twisting of the crystal also ... Found inside – Page 65It can be partially avoided by growing diluted crystals , that is , by putting only relatively few magnetic atoms in a crystal . The missing magnetic ions ... Vibrations of the crystal lattice also can carry off angular momentum and energy . The lattice ... Found inside – Page 145To get an idea of the sort of times that are involved , let ' s say the spins interact with each other , but there are lattice vibrations in the crystal which modulate these terms , and , therefore , each spin sees a varying magnetic field due to the ... Found inside – Page 707Here all scientific workers will support the proposal that the various scales should be simple and exact multiples or sub ... Some interesting new observations on the wind produced by vibrating quartz crystals are described by S . C . Hight in the ... Found inside – Page 638The crystal shows straight extinction . Most crystals lie on their prismatic plane ( 110 ) . Dichroism on the prismatic plane is violet and brownish red : when the crystal is oriented with its length parallel to the vibration direction of white rays it ... Found inside – Page 226ond arm . pairs of electrodes placed parallel to the length axis of the crystal and inserted in one arm of the bridge in series ... As to the flexural vibrations it was found that their natural frequencies do not correspond to the known a relation f A ... Found inside – Page 151In terms of the ideal perfect crystal, atomic vibrations and excited electrons can be regarded as defects. There are many other types of defect in crystals ... Furthermore, these are actually, as the videos represent, causal. But the fractals formed by them are also causal, as we have proven in the reverse order. Found inside – Page 49Assume that the molecules of a polarizing crystal are arranged like a grill and that the vibrating particles as they pass through have vibrations in one direction absorbed , strained out , as it were . Another crystal , oriented at right angles to the ... Found insideForced vibration is also treated in a few places.This book is intended to serve as an informative reference to personnel who employ piezoelectric crystal plates in the course of their profession. Certain conditions light which enters a crystal is the time base for this watch also causal, as yet been... 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