Unified mass unit and the electron volt

Before applying these ideas to the nucleus we must first introduce the term unified mass unit, u. The mass of the nucleus is of the order of 10 ~27 kg. Clearly, a kilogram is too large a unit for mass in this context and it is necessary to define a more convenient unit. This is the unified mass unit u and is defined on the basis that the mass of the carbon nuclide C-12 is exactly 12 u [the unified mass unit supersedes the previous unit of atomic mass unit based on the mass of oxygen 0-16 being 16 amu]. From this definition:

lu = 1.6604 x 10-27 kg

Applying Einstein’s equation E = m C2 with m in kg and C in m/s (= 3 x 10s), giving E in joules, then:

lu = 1.6604 x 10’27 x 9 x 1016 = 1.4944 x 10“10 joules

As previously, the kilogram was found to be inade­quate as a unit for mass, the joule also is too large a unit for energy. A more convenient energy unit is the electron volt, eV, and is the energy acquired by an electron in accelerating through a potential difference of 1 volt. Using these new units and recalling that the charge on an electron is 1.6022 x 10“19 coulomb, we have:

1 eV = 1.6022 x 10“19 joules

Therefore 1 joule = 6.242 x 1012 MeV Since lu = 1.6604 x 10“27 kg

lu ■ 931 MeV

Also:

Mass of the neutron = 1.008665 u

Mass of the proton = 1.007277 u

Mass of the electron = 0.000548 u