## Solid State PhysicsThis book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science. |

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Page 235

to the last collision is t, we can conclude from (12.45) that the component of this

velocity perpendicular to the magnetic field for a particular electron is just r1(0)-,1

(-T)=_jcflxk(0)-k(-r) + Wj t eH x Since all occupied

...

to the last collision is t, we can conclude from (12.45) that the component of this

velocity perpendicular to the magnetic field for a particular electron is just r1(0)-,1

(-T)=_jcflxk(0)-k(-r) + Wj t eH x Since all occupied

**orbits**are closed, Ak = k(0) — k(...

Page 236

This is just the elementary result (1.21) of free electron theory, reappearing under

remarkably more general circumstances provided that (a) all occupied (or all

unoccupied)

This is just the elementary result (1.21) of free electron theory, reappearing under

remarkably more general circumstances provided that (a) all occupied (or all

unoccupied)

**orbits**are closed, (b) the field is large enough that each**orbit**is ...Page 237

(a) (b) Figure 12.10 A section of constant-energy surfaces in a plane

perpendicular to the magnetic field H, showing occupied open (shaded) and

closed (unshaded)

carried by open

(a) (b) Figure 12.10 A section of constant-energy surfaces in a plane

perpendicular to the magnetic field H, showing occupied open (shaded) and

closed (unshaded)

**orbits**. In (a) no electric field is present and the currentscarried by open

**orbits**...### What people are saying - Write a review

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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 | |

49 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

alkali atomic band structure Bloch boundary condition Bragg plane Bravais lattice Brillouin zone calculation carrier densities Chapter coefficients collisions conduction band conduction electrons contribution crystal momentum crystal structure density of levels dependence described determined direction Drude effect electric field electron gas electron-electron electronic levels energy gap equilibrium example face-centered cubic Fermi energy Fermi surface Figure free electron theory frequency given Hamiltonian hexagonal holes impurity independent electron approximation insulators integral interaction ionic crystals lattice planes lattice point linear magnetic field metals motion nearly free electron neutron normal modes Note number of electrons one-electron levels orbits periodic potential perpendicular phonon Phys plane waves primitive cell primitive vectors problem properties quantum reciprocal lattice vector region result scattering Schrodinger equation semiclassical semiclassical equations semiclassical model semiconductors simple cubic solid solution specific heat sphere spin superconducting symmetry temperature term thermal tight-binding valence vanishes velocity wave functions wave vector zero