TY - JOUR
T1 - Time-temperature relation of mineral isochrons
T2 - a thermodynamic model, and illustrative examples for the RbSr system
AU - Ganguly, Jibamitra
AU - Ruiz, Joaquin
N1 - Funding Information:
Thanks are due to Drs. Michael J. Drake and P. Jonathan Patchett for helpful discussions, and Dr. Antonio C. Lasaga for a constructive review of the manuscript. This research was partly supported by a grant from the Petroleum Research Fund of the American Chemical Society, No. PRF 18394-AC2.
PY - 1987/2
Y1 - 1987/2
N2 - We have developed a thermodynamic model for the determination of the closure temperature (TC) at which the minerals defining an internal isochron in RbSr, or similar, geochronological system were set with a geochronological clock. It is shown that the equilibrium fractionation of 87Rb and 87Sr between a pair of minerals at TC [KD(87Rb87Sr)C] is given by the ratio of the quantity ( 87Rb 86Sr) in the two minerals as measured at the present time. KD(87Rb87Sr), which equals the element distribution coefficient KD(RbSr) under equilibrium condition, can be calibrated as a function of temperature, and compared with the retrieved value of KD(87Rb87Sr)C in a natural pair to obtain TC. The various mineral pairs defining an internal isochron will yield concordant or discordant values of TC depending on whether or not they closed simultaneously with respect to the diffusion of Rb and Sr. Both types of results are expected, and are important in the analyses of the evolutionary history of the host rocks. Preliminary analyses of the published data in the RbSr system suggest a fairly wide range of TC even for the same mineral pair, reflecting differences in the cooling rates and physico-chemical environments of the host rocks.
AB - We have developed a thermodynamic model for the determination of the closure temperature (TC) at which the minerals defining an internal isochron in RbSr, or similar, geochronological system were set with a geochronological clock. It is shown that the equilibrium fractionation of 87Rb and 87Sr between a pair of minerals at TC [KD(87Rb87Sr)C] is given by the ratio of the quantity ( 87Rb 86Sr) in the two minerals as measured at the present time. KD(87Rb87Sr), which equals the element distribution coefficient KD(RbSr) under equilibrium condition, can be calibrated as a function of temperature, and compared with the retrieved value of KD(87Rb87Sr)C in a natural pair to obtain TC. The various mineral pairs defining an internal isochron will yield concordant or discordant values of TC depending on whether or not they closed simultaneously with respect to the diffusion of Rb and Sr. Both types of results are expected, and are important in the analyses of the evolutionary history of the host rocks. Preliminary analyses of the published data in the RbSr system suggest a fairly wide range of TC even for the same mineral pair, reflecting differences in the cooling rates and physico-chemical environments of the host rocks.
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U2 - 10.1016/0012-821X(87)90121-X
DO - 10.1016/0012-821X(87)90121-X
M3 - Article
AN - SCOPUS:0023471142
SN - 0012-821X
VL - 81
SP - 338
EP - 348
JO - Earth and Planetary Science Letters
JF - Earth and Planetary Science Letters
IS - 4
ER -