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Physics for Geologists, Second edition

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Millions of years since U-235 <strong>for</strong>med<br />

Atomic structure and age-dating 63<br />

Figure 5.1 The decay of uranium-235 (half-life, 704 million years).<br />

0 1 2 3 4<br />

Half-lives<br />

Figure 5.2 Radioactive decay in terms of half-lives.<br />

as the half-life (tl12), is different <strong>for</strong> each parent nuclide. The half-lives3 of<br />

those isotopes above are:<br />

238~ 4.47 x lo9 years<br />

235~ 704 x lo6 years<br />

232~h 14.0 x lo9 years<br />

87~b 48.8 x lo9 years<br />

40 K 1.4 x lo9 years to 4 0~a<br />

40 K 11.9 x lo9 years to 4 0~r<br />

40 K 1.25 x lo9 years total.<br />

The three isotopes of carbon have already been mentioned: ':c, ':c and<br />

'2~. The first two are stable, nearly 99 per cent of carbon atoms being 12c.<br />

Radiocarbon, as 14c is called, is created from nitrogen in the atmosphere by<br />

cosmic radiation. Fast neutrons are emitted from collisions with oxygen and<br />

nitrogen atoms, and these fast neutrons in turn collide with nuclei of '$N,<br />

dislodging a proton and leaving 'ZC. In due course, the isotope 'ZC returns<br />

3 Derived from the values of the decay constant, h, given by Steiger and Jager (1977) using the<br />

relationship tip = (In O.S)/( - h).<br />

Copyright 2002 by Richard E. Chapman

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