## 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 316

For simplicity we limit our discussion to a single band ,

occurs only within this band ( n ' = n ) . ... Finally , we

can be well localized in space and time , so that the collisions occurring at r , t are

...

For simplicity we limit our discussion to a single band ,

**assuming**that scatteringoccurs only within this band ( n ' = n ) . ... Finally , we

**assume**that the collisionscan be well localized in space and time , so that the collisions occurring at r , t are

...

Page 341

12 ; i . e . , we

relation of an electron at the position r , and we take this relation to be ħ2k2 E ( k )

= - - eo ( r ) . ( 17 . 43 ) Thus the energy is modified from its free electron value by

the ...

12 ; i . e . , we

**assume**it is meaningful to specify the energy vs . wave vectorrelation of an electron at the position r , and we take this relation to be ħ2k2 E ( k )

= - - eo ( r ) . ( 17 . 43 ) Thus the energy is modified from its free electron value by

the ...

Page 581

We

electrons ( or holes ) bound at different impurity sites is negligible . We may then

calculate the number density of electrons nd ( or holes pa ) bound to donor ( or ...

We

**assume**that the density of impurities is low enough that the interaction ofelectrons ( or holes ) bound at different impurity sites is negligible . We may then

calculate the number density of electrons nd ( or holes pa ) bound to donor ( or ...

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### Contents

The Drude Theory of Metals | 1 |

Free electron densities and rga | 5 |

Thermal conductivities | 21 |

Copyright | |

42 other sections not shown

### Other editions - View all

Solid State Physics: Advances in Research and Applications, Volume 42 Henry Ehrenreich Limited preview - 1989 |

### Common terms and phrases

additional applied approximation assume atomic band boundary Bragg Bravais lattice calculation carrier Chapter charge close collisions compared completely 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