## Introduction to Solid State Physicsproblems after each chapter |

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Page 4

We assume that a is the shortest non - vanishing translation in the translation

group . We choose coordinate axes so that a is parallel to the x axis . If now we

rotate a by an angle $ , we get a new

= a ...

We assume that a is the shortest non - vanishing translation in the translation

group . We choose coordinate axes so that a is parallel to the x axis . If now we

rotate a by an angle $ , we get a new

**vector**a ' with components az ' = a cos ; ay '= a ...

Page 49

10 ) a * =a · [ b X c ) Similar expressions obtain for the other

reciprocal lattice has a ... ( 2 ) The length of the

reciprocal of the spacing of the planes ( hkl ) of the crystal lattice . As proof of ( 1 )

we note ...

10 ) a * =a · [ b X c ) Similar expressions obtain for the other

**vectors**. Thereciprocal lattice has a ... ( 2 ) The length of the

**vector**r * ( hkl ) is equal to thereciprocal of the spacing of the planes ( hkl ) of the crystal lattice . As proof of ( 1 )

we note ...

Page 50

The

long as the

from the origin in a given row in the reciprocal lattice corresponds to the nth order

...

The

**vector**r * ( hkl ) in the reciprocal lattice is in the same direction but n times aslong as the

**vector**corresponding to the true crystal plane . That is , the nth pointfrom the origin in a given row in the reciprocal lattice corresponds to the nth order

...

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### Contents

DIFFRACTION OF XRAYS BY CRYSTALS | 44 |

CLASSIFICATION OF SOLIDS LATTICE ENERGY | 63 |

ELASTIC CONSTANTS OF CRYSTALS | 85 |

Copyright | |

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alloys applied approximately associated atoms axis band boundary calculated cell chapter charge concentration condition conductivity consider constant crystal cubic density dependence determined dielectric diffusion direction discussion dislocation distribution domain effect elastic electric electron elements energy equal equation equilibrium experimental expression factor field force frequency function germanium give given heat capacity hexagonal holes important impurity increase interaction ionic ions lattice levels London magnetic mass material measurements metals method motion neighbor normal observed obtained parallel particles Phys physics plane polarization positive possible potential present problem properties range reference reflection region relation resistivity result room temperature rotation shown in Fig simple solid solution space space group specimen structure surface symmetry Table temperature theory thermal tion transition unit usually values vector volume wave zero zone