The age of the inner core

The energy conservation law, when applied to the Earth's core and integrate d between the onset of the crystallization of the inner core and the presen t time, gives an equation for the age of the inner core. In this equation, all the terms can be expressed theoretically and, given values and uncertai nties of all relevant physical parameters, the age of the inner core can be obtained as a function of the heat flux at the core-mantle boundary and th e concentrations in radioactive elements. It is found that in absence of ra dioactive elements in the core, the age of the inner core cannot exceed 2.5 Ga and is most likely around I Ga. In addition, to have an inner core as o ld as the Earth, concentrations in radioactive elements needed in the core are too high to be acceptable on geochemical grounds. (C) 2001 Elsevier Sci ence B.V. All rights reserved.