Structure Constants and the LMTO Method

For a crystal with lattice vectors R, the structure constants Sj L in (8.22) may be obtained from (8.20) and the Bloch sum of the cluster structure constants (8.8), i.e. 

The remainder of the LMTO formalism may now be taken over by analogy. This requires essentially the substitutions i - ti and m - qm, but in addition r - r - q in appropriate places, cf. (8.22). For the t4 character (6.33) we find 

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