Question

Write down an equation [similar to the above Eqution] to describe the β\beta decay of each of the following nuclei: (a) 60Co{ }^{60} \mathrm{Co}, (b) 3H{ }^3 \mathrm{H} (tritium), (c) 15O{ }^{15} \mathrm{O}, and (d) the decay by electron capture of 231U{ }^{231} \mathrm{U}.

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When we say β\beta decay, we assume it to be β\beta^- decay. In a β\beta^- decay, a neutron decays into a proton, electron, and an antineutrino. Thus for a nucleus, a β\beta decay increases the proton number by 11, and decreases the neutron number by 11 as in the equation:

(Z,N)(Z+1,N1)+e+νˉ(Z,N)\rightarrow(Z+1,N-1)+e^-+\bar{\nu}

In this exercise we write down equations for the β\beta decay for 60Co^{60}\text{Co}, 3H^{3}\text{H}, 15O^{15}\text{O}, and the electron capture of 231U^{231}\text{U} which is essentially the reverse of β\beta decay.

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