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2.1.1 Relationships between the anisotropic displacement parameters next up previous
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2.1.1 Relationships between the anisotropic displacement parameters

The displacement parameters tex2html_wrap_inline2472 , tex2html_wrap_inline2462 , and tex2html_wrap_inline2466 , given by eqs. (2.1.22), (2.1.25), and (2.1.26), are so closely related that the use of all of them in the crystallographic literature is not only unnecessary, but conducive to confusion. The relationships needed are shown in a single equation, obtained by comparison of eqs. (2.1.21), (2.1.24) and (2.1.27):

  equation932

It is true that fewer arithmetic operations are needed to compute T from tex2html_wrap_inline2616 than from tex2html_wrap_inline2678 , but with the advent of computers this advantage has become negligible.


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Next: 2.1.2 Construction of Cartesian mean-square displacement tensors Up: 2.1 Anisotropic displacement parameters Previous: 2.1 Anisotropic displacement parameters

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