Regressions of physical properties on the compositions of clinopyroxenes--[Part] 1, Lattice constants

Publisher Website
Google Scholar
Abstract
The compositions of clinopyroxenes are represented by 9 variables that may be referred to the formula ABC 2 O 6 , as follows: x 1 = (Si) c , x 2 = (Al, Fe''', Ti) b , x 3 = (Mg) b , x 4 = (Fe,Mn) a , x 5 = (Ca) a , x 6 = (Al,Fe''') c , x 7 = (Fe, Mn) b , x 8 = (Mg) a , x 9 = (Na,K) a ; among these the last four (x 6 -x 9 ) are considered dependent upon the others by reasons of space-availability and valence. Regressions of the lattice constants a, b, c, and beta have been calculated by least squares for 12 specimens of clinopyroxene covering the system diopside-hedenbergite-clinoenstatite-clinohypersthene-pigeonite-augite-jadeite, published by various authors between 1949 and 1956. The maximum difference between observed and calculated values of the linear constants is 0.011 angstrom; of the angular constant, 18 minutes of arc. The standard errors for these regressions are 0.0085, 0.0098, 0.0083 Aa for a, b, and c, and 12 minutes for beta , respectively. More data are needed to test those regressions and improve them, but the evidence suggests that the entire clinopyroxene system can represented by such linear regressions.

This publication has 0 references indexed in Scilit: