Abstract
A linear algebraic model for the sequence-independent calculation of pyroxene components of microprobe analyses is presented. Assuming ideal stoichiometry, the theoretical Fe3+ is obtained by using charge balance criteria. The calculation of 11 linearly-independent endmember parameters (Jd, Ac, Ur, TiTs, CaTs, FeTs, CrTs, Pm, Fs, En, Wo) in conjunction with a rigorous mass balance enables the appreciation of the stoichiometry and the endmember definition. The presented method offers a normalized comparison base for a wide spectrum of pyroxene analyses. On the basis of the 11 linearly-independent endmember parameters other common pyroxene components (e.g. Di, Hd, Jh, FeATs, CrATs, MgTs, Fe2+Ts) may be calculated using exchange reactions.
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