8. Consequences of crystalline symmetry. Through explicit consideration of the symmetry properties of each of the 32 poi

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8 Consequences Of Crystalline Symmetry Through Explicit Consideration Of The Symmetry Properties Of Each Of The 32 Poi 1 (78.3 KiB) Viewed 26 times

8. Consequences of crystalline symmetry. Through explicit consideration of the symmetry properties of each of the 32 point groups, verify the results presented in Tables 1.5.2 and 1.5.4 and in Fig. 1.5.3. [Notes: This problem is lengthy and requires a more detailed knowledge of group theory and crystal symmetry than that presented in this text. For a list of recommended readings on these subjects, see the reference list to the present chapter. For a discussion of this problem, see also Butcher (1965).] 9. Subtlety regarding crystal class 432. According to Table 1.5.2, x(2) possesses nonvanish- ing tensor elements for crystal class 432, but according to Fig. 1.5.3 dil for this crystal class vanishes identically. Justify these two statements by taking explicit account of the additional constraints that are implicit in the definition of the di matrix.