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Titlebook: Solid-State Physics; An Introduction to P Harald Ibach,Hans Lüth Textbook 20033rd edition Springer-Verlag Berlin Heidelberg 2003 crystal.di

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Dynamics of Atoms in Crystals, atoms about their equilibrium positions. In the latter category are, for example, the sound velocity and also the thermal properties: specific heat, thermal expansion, and — for semiconductors and insulators — the thermal conductivity. The hardness of a material is also determined, in principle, by
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Thermal Properties,of harmonic forces. With (4.7) we arrived at a system of equations that, for a given wave vector ., couples the wave amplitudes of the atoms within a unit cell. It can be shown mathematically that within the harmonic approximation the equations of motion, even for a nonperiodic solid, can be complet
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,“Free” Electrons in Solids,sed on the fact that for the dynamics of the heavy nuclei, or of the nuclei together with their strongly bound core electrons (this combination is known as the “atomic core”), the energy can be expressed as a function of the nuclear or core coordinates in terms of a time-independent potential: the e
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The Electronic Bandstructure of Solids,e-electron approximation and of a square-well potential, are oversimplifications. Thus one cannot expect this model to explain, for example, the fundamentally important optical and electronic properties of semiconductors. If one imagines, as discussed briefly in Chap. 1, that a solid is created by a
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Magnetism,ructure were calculated for an electron in an effective potential consisting of the potential of the ion cores and an average potential due to the other electrons. Within this model quite acceptable bandstructures can be calculated. However, another aspect of the one-electron model is more important
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Motion of Electrons and Transport Phenomena,n motion goes beyond our previous considerations since it involves a time-dependent Schrödinger equation; previously we have discussed only the time-independent Schrödinger equation and results for thermodynamic equilibrium (Fermi statistics, etc.). The present chapter deals with the question of how
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Superconductivity,erials originates from the fact that a real crystal always exhibits deviations from perfect lattice periodicity: phonons and defects. An infinitely high electrical conductivity is unthinkable in this description, because (1) a crystal without a certain degree of disorder is inconceivable according t
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Dielectric Properties of Materials,icroscopic picture one would speak, for instance, of the absorption of a photon via the creation of a phonon or an electron-hole pair. The Maxwellian theory, on the other hand, is a macroscopic approach and the solid is described by material constants. The relation between the two approaches will be
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Semiconductors,ds do not contribute to electrical conductivity and a material which has only completely full and completely empty bands is therefore an insulator. If the distance between the upper edge of the highest filled band (valence band) and the lower edge of the lowest empty band (conduction band) is not to
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