## Solid state physics |

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Page 75

Show that for small A;, the two values of u from

approximately by Eqs. (3-20) and (3-21). You will need the relations, sinx = x and

y/1 + x = 1 + |x, for small x.

in Fig. 3-14.

Show that for small A;, the two values of u from

**Eq**. (3-18) are**given**approximately by Eqs. (3-20) and (3-21). You will need the relations, sinx = x and

y/1 + x = 1 + |x, for small x.

**Eq**. (3-20) is the solution belonging to the lower curvein Fig. 3-14.

Page 135

The boundary conditions of

periodic boundary conditions. We find that in this case, the wave function for a

free electron

the ...

The boundary conditions of

**Eq**. (7-1) are thus replaced with These are calledperiodic boundary conditions. We find that in this case, the wave function for a

free electron

**given**by 0(x, y, z,t) = A exp(ikxx + ikyy + ikzz - iu>t), (7-6) can satisfythe ...

Page 137

Every allowed value of k

function and thus represents two electron states. If the density of these allowed

wave vectors k in k- space is equal to V/(2tt)3, then the density of electron states

in ...

Every allowed value of k

**given by Eq**. (7-8) corresponds to a different wavefunction and thus represents two electron states. If the density of these allowed

wave vectors k in k- space is equal to V/(2tt)3, then the density of electron states

in ...

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### Contents

XRay Diffraction | 37 |

Lattice Vibrations | 61 |

Classical Model of Metals | 89 |

Copyright | |

12 other sections not shown

### Common terms and phrases

Answer Appendix basis vectors bcc lattice bond Bragg angle Bragg's Law Bravais lattice Brillouin zone called Chapter collisions conduction electrons Consider conventional unit cell Cooper pairs depletion layer diode direction dispersion curve displacement distance doped effective mass elec electric current electric field electrons and holes emitter energy band equal example Fermi energy Fermi level Fermi surface force forward biased free electron free particle frequency given by Eq inside integers ions k-space laser lattice parameter lattice points lattice vector lattice wave magnetic field n-type semiconductor NaCl negative neutrons number of electrons obtain occupied one-dimensional oscillate p-n junction photon positively charged potential energy primitive unit cell Problem rays reciprocal lattice reverse biased sc lattice scattered Schroedinger's equation shown in Fig sodium metal solid structure superconductor temperature tion transistor trons unit cell unoccupied values velocity voltage wave function wave number wave vector wavelength Wigner-Seitz cell wire x-ray diffraction zero