## 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 178

If yn ( r )

wherever y , ( r ) does not . If this were indeed the case , then each atomic level

yn ( r ) ...

If yn ( r )

**satisfies**the atomic Schrödinger equation ( 10 . 1 ) , then it will also**satisfy**the crystal Schrödinger equation ( 10 . 2 ) , provided that AU ( r ) vanisheswherever y , ( r ) does not . If this were indeed the case , then each atomic level

yn ( r ) ...

Page 201

Thus any single APW does not

& in the interstitial region . 2 . Oke is continuous at the boundary between atomic

and interstitial regions . 3 . In the atomic region about R , Okę does

Thus any single APW does not

**satisfy**the crystal Schrödinger equation for energy& in the interstitial region . 2 . Oke is continuous at the boundary between atomic

and interstitial regions . 3 . In the atomic region about R , Okę does

**satisfy**the ...Page 769

17 ) ) is made stationary over all differentiable functions to

condition with wave vector k , by the Hk that

- m P24x + U ( T ) \ n = Extra ( G . 1 ) By this we mean the following : Let y be

close ...

17 ) ) is made stationary over all differentiable functions to

**satisfying**the Blochcondition with wave vector k , by the Hk that

**satisfy**the Schrödinger equation : h2- m P24x + U ( T ) \ n = Extra ( G . 1 ) By this we mean the following : Let y be

close ...

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### Contents

The Drude Theory of Metals | 1 |

Free electron densities and rga | 5 |

Electrical resistivities | 8 |

Copyright | |

34 other sections not shown

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### Common terms and phrases

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