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An equation is derived to calculate the BO 3  triangle to BO 4  (PO 4 ) tetrahedron ratios in the anion complexes of borates and borophosphates from the fractions of O atoms with 1, 2, 3 and 4 single bonds to central atoms, respectively. The validity of this formula is verified on a great number of examples including hydrous and anhydrous phases and also high-pressure modifications. The equation can serve to check the agreement between structural features and reported composition of borate or borophosphate. The fractions of the different O atoms needed for the calculation are accessible from lists of interatomic distances. But for 250 borates with only half-shared O atoms and/or OH groups — a quarter of the known borates — the fractions of O atoms with one and two bonds to central atoms can be read from the chemical formula and the triangle-to-tetrahedron ratio thus be calculated directly in simple fashion.

Calculation of the BO 3 triangle to BO 4 (PO 4 ) tetrahedron ratio for borates and borophosphates based on the O bond numbers in the anion complexes