## 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 157

This means (Figure 9.2a) that q must lie on the

bisecting the line joining the origin of k space to the reciprocal lattice point K. The

assertion that 8° = Sq_K only for K' = K requires that q lie only on this

, ...

This means (Figure 9.2a) that q must lie on the

**Bragg plane**(see Chapter 6)bisecting the line joining the origin of k space to the reciprocal lattice point K. The

assertion that 8° = Sq_K only for K' = K requires that q lie only on this

**Bragg plane**, ...

Page 158

when only a single

equations have a solution when: ui -uK = 0. (9.24) (9.25) This leads to a quadratic

equation (8-S?)(8- S,°_K)= \Uk\2. The two roots S = 1(8° + 8?_K) ± rq 2bq-Kj +|C/

K|2 ...

when only a single

**Bragg plane**is nearby, as determined by (9.22). Theseequations have a solution when: ui -uK = 0. (9.24) (9.25) This leads to a quadratic

equation (8-S?)(8- S,°_K)= \Uk\2. The two roots S = 1(8° + 8?_K) ± rq 2bq-Kj +|C/

K|2 ...

Page 163

Since

lattice, one can equally well define the first zone as the set of points that can be

reached from the origin without crossing any

Since

**Bragg planes**bisect the lines joining the origin to points of the reciprocallattice, one can equally well define the first zone as the set of points that can be

reached from the origin without crossing any

**Bragg planes**.12 Higher Brillouin ...### 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