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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.
The mass of an atomic nucleus is less than the sum of the individual masses of the free constituent protons and neutrons. The difference in mass can be calculated by the Einstein equation, E = mc 2, where E is the nuclear binding energy, c is the speed of light, and m is the difference in mass. This 'missing mass' is known as the mass defect ...
The mass of an atomic nucleus is less than the total mass of the protons and neutrons that make it up. [15] This mass decrease is also equivalent to the energy required to break up the nucleus into individual protons and neutrons. This effect can be understood by looking at the potential energy of the individual components.
Z = Atomic number = Number of protons = Number of electrons = + Mass in nuclei M' nuc = Mass of nucleus, bound nucleons; M Σ = Sum of masses for ...
The mass excess of a nuclide is the difference between its actual mass and its mass number in daltons.It is one of the predominant methods for tabulating nuclear mass. The mass of an atomic nucleus is well approximated (less than 0.1% difference for most nuclides) by its mass number, which indicates that most of the mass of a nucleus arises from mass of its constituent protons and neutrons.
The mass density ρ is the product of the number density n by the particle's mass. The calculated mass density, using a nucleon mass of m n =1.67×10 −27 kg, is thus: ρ 0 t h e o r = m n n 0 t h e o r ≈ 2 × 10 17 k g m − 3 {\displaystyle \rho _{0}^{\mathrm {theor} }=m_{\mathrm {n} }\,n_{0}^{\mathrm {theor} }\approx 2\times 10^{17 ...
The dalton (symbol: Da) is the standard unit that is used for indicating mass on an atomic or molecular scale (atomic mass). [1] The unified atomic mass unit (symbol: u) is equivalent to the dalton. One dalton is approximately the mass of one a single proton or neutron. [2] The unified atomic mass unit has a value of 1.660 538 921 (73) × 10 ...
The atomic nucleus is the small, ... where A = Atomic mass number (the number of protons Z, plus the number of neutrons N) and r 0 = 1.25 fm = 1.25 × 10 −15 m.