Semi-empirical Mass Formula - The Formula

The Formula

In the following formulae, let A be the total number of nucleons, Z the number of protons, and N the number of neutrons.

The mass of an atomic nucleus is given by

where and are the rest mass of a proton and a neutron, respectively, and is the binding energy of the nucleus. The semi-empirical mass formula states that the binding energy will take the following form:

Each of the terms in this formula has a theoretical basis, as will be explained below.

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