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Research School of Earth Sciences, The Australian National University, Canberra, A.C.T. 0200, Australia, director.rses@anu.edu.au
Department of Earth and Space Sciences, University of California, Los Angeles, Los Angeles, California, 90095, U.S.A.
Department of Earth and Environmental Sciences, Lehigh University, Bethlehem, Pennsylvania, 18015, U.S.A.
| The first 20% of the full text of this article appears below. |
| INTRODUCTION |
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In previous chapters, the case has been explored in which a mineral cooling within the crust transitions from being open to loss of daughter product to closed system behavior. Assuming a monotonic thermal history of simple form (Dodson 1973), it is then possible to use the balance between radiogenic accumulation and loss to assign a bulk closure temperature, Tc, which is given by:
![]() | (1) |
where E is the activation energy, D0 is the frequency factor, R is the gas constant, T is absolute temperature, A is a geometry factor (sphere = 55, cylinder = 27, and plane sheet = 8.7), r is the effective diffusion length scale (radius or half-width), and dT/dt is cooling rate. When the Tc and age of a number of coexisting mineral thermochronometers are correlated, an estimate of the temperature history can be interpolated. This method, termed the bulk closure approach, has been used for nearly 30 years (Purdy and Jäger 1976; Mattinson 1978; Berger et al. 1979; Harrison et al. 1979).
However, use of Equation (1) carries
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