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In nuclear physics, the semi-empirical mass formula ( SEMF) (sometimes also called the Weizsäcker formula, Bethe–Weizsäcker formula, or Bethe–Weizsäcker mass formula to distinguish it from the Bethe–Weizsäcker process) is used to approximate the mass of an atomic nucleus from its number of protons and neutrons.
A graphical representation of the semi-empirical binding energy formula. The binding energy per nucleon in MeV (highest numbers in yellow, in excess of 8.5 MeV per nucleon) is plotted for various nuclides as a function of Z , the atomic number (y-axis), vs. N , the number of neutrons (x-axis).
The semi-empirical mass formula (SEMF) is \[M(Z, A)=Z m\left({ }^{1} H\right)+N m_{n}-B(Z, A) / c^{2} onumber\] where the binding energy B(Z, A) is given by the following formula:
The semi-empirical mass formula is a function of two variables, as A = N + Z. It gives the It gives the binding energy of the ground state of any nucleus, i.e. any values of Z and N.
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The binding energy is subtracted from the sum of the proton and neutron masses because the mass of the nucleus is less than that sum. This property, called the mass defect, is necessary for a stable nucleus; within a nucleus, the nuclides are trapped by a potential well. A semi-empirical mass formula states that the binding energy ...
The Semi Empirical Mass Formula SEMF Nov 2006, Lecture 2 Nuclear Physics Lectures, Dr. Armin Reichold 2 2.0 Overview 2.1 The liquid drop model 2.2 The Coulomb Term 2.3 Mirror nuclei, charge asymmetry and independence 2.4 The Volume and Surface Terms 2.5 The asymmetry term 2.6 The pairing term 2.7 The SEMF
9. Nov. 2021 · The semi-empirical mass formula for the binding energy of a given nuclide, as a function of atomic number, Z, and atomic mass number, A, was derived independently by Carl von Weizsäcker in 1935 and Hans Bethe a year later. The formula is also known as the Bethe–Weizsäcker mass formula.
