## Solid State PhysicsThe Drude Theory of Metals. The Sommerfeld Theory of Metals. Failures of the Free Electron Model. Crystal Lattices. The Reciprocal Lattice. Determination of Crystal Structures by X-Ray Diffraction. Classification of Bravais Lattices and Crystal Structures. Electron levels in a Periodic Potential: General Properties. Electrons in a Weak Periodic Potential.THe Tight-Binding Method. Other Methods for Calculating Band Structure. The Semiclassical Model of Electron Dynamics. The Semiclassical Theory of Conduction in Metals. Measuring the Fermi Surface. Band Structure of Selected Metals. Beyond the Relaxation. Time Approximation. Beyond the Independent Electron Approximation. Surface Effects. Classification of Solids. Cohesive Energy. Failures of the Static Lattice Model. Classical Theory of the Harmonic Crystal. Quantum Theory of the Harmonic Crystal. Measuring Phonon Dispersion Relations. Anharmonic Effects in Crystals. Phonons in Metals. Dielectric Properties of Insulators. Homogeneous Semiconductors. Inhomogeneous Semiconductors. Defects in Crystals. Diamagnetism and Paramagnetism. Electron Interactions and Magnetic Structure. Magnetic Ordering. Superconductivity. Appendices. |

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Page 14

21 ) This is a very striking

no parameters of the metal except the density of carriers . Since we have already

calculated n assuming that the atomic valence electrons become the metallic ...

21 ) This is a very striking

**result**, for it asserts that the Hall coefficient depends onno parameters of the metal except the density of carriers . Since we have already

calculated n assuming that the atomic valence electrons become the metallic ...

Page 23

we shall find by a more rigorous argument that the

( and , in special circumstances , precisely ) the correct one . Given the estimate (

1 . 51 ) , we can derive another

we shall find by a more rigorous argument that the

**result**( 1 . 51 ) is quite close to( and , in special circumstances , precisely ) the correct one . Given the estimate (

1 . 51 ) , we can derive another

**result**independent of the mysteries buried in ...Page 253

37 ) then reduces to the semiclassical

made in Chapter 12 that the semiclassical analysis should be valid provided that

ħo « Egap ( Eq . ( 12 . 10 ) ) . 23 THERMAL CONDUCTIVITY In Chapters 1 and 2

...

37 ) then reduces to the semiclassical

**result**( 13 . 36 ) , confirming the assertionmade in Chapter 12 that the semiclassical analysis should be valid provided that

ħo « Egap ( Eq . ( 12 . 10 ) ) . 23 THERMAL CONDUCTIVITY In Chapters 1 and 2

...

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### Contents

The Drude Theory of Metals | 1 |

Free electron densities and ra | 5 |

Thermal conductivities | 21 |

Copyright | |

43 other sections not shown

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### Common terms and phrases

additional applied approximation assume atomic band Bragg Bravais lattice calculation carrier cell centered Chapter charge classical close collisions compared condition conduction consider constant constructed containing contribution crystal cubic density dependence described determined direction discussion distance distribution effect electric field elements energy equation equilibrium example faces fact factor Fermi surface Figure follows free electron frequency given gives heat hexagonal holes important independent integral interaction ionic ions known lattice vector leads levels limit linear magnetic field mean measured metals method normal Note observed occupied orbits perpendicular phonon plane position possible potential primitive cell Problem properties reciprocal lattice reflection region relation requires result satisfy scattering semiclassical Show shown simple single solid solution space space groups specific sphere structure symmetry Table temperature term theory thermal unit vanishes volume wave functions wave vector zone