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We have calculated the overlap integral between periodic parts of Bloch functions for two arbitrarily directed crystal momenta →k₁ and →k₂. Contrary to conjectures in the literature that there is a dependence on the direction of →k₁ in addition to the angle between →k₁ and →k₂, our results show only an angular dependence on (→k₁·→k₂)(k₁k₂). The final expression obtained is identical in form with results previously deduced by aligning →k₁ with a principal axis of the crystal.
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Vassell et al. (1970) studied this question.
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