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A New Scheme for Calculating Mineral End‐Members With Reference to Clinopyroxene And Garnet
Author(s) -
Jianjun Yang
Publication year - 1992
Publication title -
acta geologica sinica ‐ english edition
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.444
H-Index - 61
eISSN - 1755-6724
pISSN - 1000-9515
DOI - 10.1111/j.1755-6724.1992.mp5002006.x
Subject(s) - scheme (mathematics) , mineral , electron microprobe , component (thermodynamics) , order (exchange) , computer science , mathematics , algorithm , geology , mineralogy , materials science , mathematical analysis , physics , thermodynamics , metallurgy , finance , economics
In order to eliminate the defect of successively separative calculations of different end‐members of a mineral and to establish a widely applicable new scheme for calculating mineral end‐members, the use of the linear programming technique is proposed to calculate simultaneously all end‐members in this paper. All calculations with the scheme under study can result in non‐ negative values. In the case of calculating end‐ members of clinopyroxene, the Eskola's molecule is introduced so as to reach stoichiometry. When certain minor elements in solid solutions are present in a remarkable amount, by adding to the equations the vectors of the corresponding end‐members and adjusting the component vectors it is possible to obtain calculation results, including those of such end‐members. The possibility of using the calculation scheme under study to estimate the Fe 3+ / Fe 2+ ratio of a mineral from electron microprobe analysis is also discussed in this paper.