What is semi empirical mass formula?

The semi-empirical mass formula is a mathematical formula used in nuclear physics to predict the mass and binding energy of atomic nuclei. It was developed by George Gamow and others in the 1930s.

The formula takes into account various factors that contribute to the binding energy of a nucleus, such as the number of protons and neutrons, the pairing of nucleons, and the Coulomb repulsion between protons. By inputting the number of protons and neutrons in a nucleus, the formula can be used to calculate the binding energy and, subsequently, the mass of the nucleus.

While the semi-empirical mass formula is a simplified model and does not account for all complexities of nuclear structure, it is a useful tool for predicting the characteristics of atomic nuclei. It has been widely used in nuclear physics research and is considered a fundamental equation in the field.