The maximum value of A for which nuclei are stable against instantaneous fission can be estimated as
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The maximum value of A for which nuclei are stable against instantaneous fission can be estimated as follows. When a charged, spherical nucleus, AZ, with surface tension is deformed into an ellipsoid leaving its volume constant, it is possible to compute the change in its binding energy as a function of deformation. There sult [77] is?
where ? measures the deformation (the ratio of major to minor axes is (1 + ?)3/2). Note the signs: the surface contribution tends to stabilize and the Coulomb contribution tends to destabilize the nucleus. Show that eq. (17.35) predicts that instantaneous fission occurs when Z2/A ? 49. The largest A nucleus observed so far, 294[118], has Z2/A = 47.4.
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