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The calculation of the d-spacings, the angles between planes and zones, the bond lengths and angles and other important geometric relationships for a mineral can be a tedious task for the student and the instructor, particularly when completed with the large assortment of trigonometric identities and algebraic formulae that are available. However, such calculations are straightforward and relatively easy to do when completed with the metrical matrix and the interactive software MATOP. Several applications of the matrix are presented here, each of which is worked out in detail and which is designed to teach its use in the study of crystal geometry.
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