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In quartz aggregates formed by coalescence of preformed crystals in the magma or in hydrothermal solution, monoperiodic twins are common and not restricted to the Zinnwald orientation. For certain values of the axial ratio c/a, diperiodic coincidence in the contact plane will appear, which may be related to the frequency of occurrence of various orientations in low- and high-quartz.

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Eigenvalues and eigenvectors of the linear compliance tensor for trigonal symmetry have been expressed in terms of the seven parameters of the corresponding Voigt matrix; conditions on these parameters guaranteeing positive strain energy have been derived.
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