## 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 545

To determine w ( r ) we

ions are already contained in the field Eloc . The remaining short - range

interionic forces ( e . g . , higher - order electrostatic multipole moments and core -

core ...

To determine w ( r ) we

**note**that the long - range electrostatic forces betweenions are already contained in the field Eloc . The remaining short - range

interionic forces ( e . g . , higher - order electrostatic multipole moments and core -

core ...

Page 680

To construct the spin Hamiltonian for a two - electron system ,

individual electron spin operator satisfies S ; ? = ( 1 + 1 ) = Å , so that the total

spin S satisfies s2 = ( S , + S2 ) 2 = { + 25 , S2 . ( 32 . 17 ) Since S2 has the

eigenvalue S ...

To construct the spin Hamiltonian for a two - electron system ,

**note**that eachindividual electron spin operator satisfies S ; ? = ( 1 + 1 ) = Å , so that the total

spin S satisfies s2 = ( S , + S2 ) 2 = { + 25 , S2 . ( 32 . 17 ) Since S2 has the

eigenvalue S ...

Page 713

It is sobering to

impressive tours de force achieved by theoretical physicists , in spite of the

extensive oversimplifications that have had to be made to construct a model even

this ...

It is sobering to

**note**that the calculation of these results is among the mostimpressive tours de force achieved by theoretical physicists , in spite of the

extensive oversimplifications that have had to be made to construct a model even

this ...

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### Contents

The Drude Theory of Metals | 1 |

The Sommerfeld Theory of Metals | 29 |

Failures of the Free Electron Model | 57 |

Copyright | |

33 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 classical collisions compared condition conduction consider constant containing contribution correction crystal cubic density dependence described determined direction discussion distance distribution effect elements energy equation equilibrium example fact factor Fermi surface field Figure follows free electron frequency function given gives hexagonal holes important impurity independent integral interaction ionic ions known lattice vector leading levels limit linear magnetic field mean measured metals mode momentum normal Note observed orbits periodic phonon plane positive possible potential present primitive cell Problem properties reciprocal lattice reflection region relation requires result satisfy scattering Show simple single solid solution space specific heat structure surface symmetry Table temperature term theory thermal vanishes volume wave functions wave vector zero zone