MASS DEFECT AND BINDING ENERGY

Nuclear Physics and Reactor Theory Volume 1 of 2
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Atomic and Nuclear Physics DOE-HDBK-1019/1-93 MASS DEFECT AND BINDING ENERGY MASS DEFECT AND BINDING ENERGY The separate laws of Conservation of Mass and Conservation of Energy are not applied strictly on the nuclear level. It is possible to convert between mass and energy. Instead of two separate conservation laws, a single conservation law states that the sum of mass and energy is conserved. Mass does not magically appear and disappear at random. A decrease in mass will be accompanied by a corresponding increase in energy and vice versa. EO 1.7 DEFINE the following terms: a. Mass defect b. Binding energy EO 1.8 Given the atomic mass for a nuclide and the atomic masses of a neutron, proton, and electron, CALCULATE the mass defect and binding energy of the nuclide. Mass Defect Careful measurements have shown that the mass of a particular atom is always slightly less than the sum of the masses of the individual neutrons, protons, and electrons of which the atom consists. The difference between the mass of the atom and the sum of the masses of its parts is called the mass defect (Dm). The mass defect can be calculated using Equation (1-1). In calculating the mass defect it is important to use the full accuracy of mass measurements because the difference in mass is small compared to the mass of the atom. Rounding off the masses of atoms and particles to three or four significant digits prior to the calculation will result in a calculated mass defect of zero. Dm = [ Z(mp + me) + (A-Z)mn ] - matom (1-1) where: Dm = mass defect (amu) m_p = mass of a proton (1.007277 amu) m_n = mass of a neutron (1.008665 amu) m_e = mass of an electron (0.000548597 amu) m_atom = mass of nuclide ^A_Z X (amu) Z = atomic number (number of protons) A = mass number (number of nucleons) Rev. 0 Page 17 NP-01

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