The β-factor dependences on temperature upon 18O/16O substitution have been originally deduced in andalusite, sillimanite and kyanite accounting for pressure effect: 1000lnβand(18O/16O) = 10.66466x – 0.19330x2 + 0.00282x3 + P(0.12748x – 0.00289x2) 1000lnβsil(18O/16O) = 10.51480x – 0.17485x2 + 0.001406x3 + P(0.12124x – 0.00286x2) 1000lnβky(18O/16O) = 10.14019x – 0.07573x2 + 0.00550x3 + P(0.09907x – 0.00206x2), x = 106/T2 (K)–2, P is pressure (GPa). The relations can be used in isotope geothermometry. Pressure produces an increase of the β-factors and consequently, δ18O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_{{{\text{A}}{{{\text{l}}}_{{\text{2}}}}{\text{Si}}{{{\text{O}}}_{{\text{5}}}}}}$$\end{document} up to ≈0.5‰ in conditions of the “cold” subduction (at extremely low dT/dP gradients).

中文翻译：

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蓝晶石-硅线石-红柱石多晶型物 (Al2SiO5) 中的同位素分馏和压力对 18O/16O 的影响：Ab-Initio 建模

β-因子对 18O/16O 取代的温度依赖性最初是在考虑压力效应的红柱石、硅线石和蓝晶石中推导出来的：1000lnβand(18O/16O) = 10.66466x – 0.19330x2 + 0.00280x1204+P.00280.x1204 ）1000lnβsil（18O / 16O）= 10.51480x - 0.17485x2 + 0.001406x3 + P（0.12124x - 0.00286x2）1000lnβky（18O / 16O）= 10.14019x - 0.07573x2 + 0.00550x3 + P（0.09907x - 0.00206x2）， x = 106/T2 (K)–2，P 是压力 (GPa)。该关系可用于同位素地球测温。压力会增加 β 因子，因此，