Atomic Mass Unit

  December 20, 2021   Read time 1 min
Atomic Mass Unit
We noted earlier that a proton has a mass of approximately 1.672 × 10−27 kg and a neutron has a slightly larger mass of about 1.674 × 10−27 kg. Such very tiny masses sometimes prove cumbersome in nuclear reaction calculations, so nuclear scientists devised a more convenient unit of mass.

By international agreement, they defined the atomic mass unit (symbol: amu or u) as precisely one-twelfth the mass of an electrically neutron carbon-12 atom (12 6C). Therefore, one atomic mass unit is equivalent to 1.6605 × 10−27 kg. While this new unit of mass provides a convenient description of the average mass of a nucleon, it is still a bit cumbersome. Enter Albert Einstein (1879–1955) and his famous energy-mass equivalence equation that emerged from special relativity. The rest mass equivalent energy (E0) of an atomic mass unit is determined from equation 4.3 as follows: E0 = (∆m0) c2

where (∆m0) is change in mass of an object with no kinetic energy (therefore at rest) and c is the speed of light. After paying careful attention to unit conversions and mathematical calculations, we discover that one atomic mass unit has the energy equivalence of 931.5 million electron volts (MeV). In other words, the transformation of just a small fraction of the mass of a nucleon accounts for the enormous amounts of energy released in fission, fusion, or radioactive decay. The energy equivalent of an electron is approximately 0.51 MeV


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