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Physics · Ch 8 — Atomic and Nuclear Physics

Atomic and nuclear masses

8.4.3

Atomic and nuclear masses

Nuclear masses, expressed in kilograms, are inconveniently tiny numbers (of order 10−2510^{-25} kg or smaller), so it is far more practical to use a specially defined unit called the atomic mass unit (u). One atomic mass unit is defined as exactly 1/121/12 of the mass of a single atom of the most abundant naturally-occurring isotope of carbon, 612C^{12}_{6}C:

1 u=112×(mass of 612C atom)=1.9926×10−26 kg/12=1.660×10−27 kg1\ \text{u}=\frac{1}{12}\times(\text{mass of }^{12}_{6}\text{C atom})=1.9926\times10^{-26}\ \text{kg}/12=1.660\times10^{-27}\ \text{kg}

In this unit, the standard particle and atom masses are: mass of neutron =1.008665=1.008665 u, mass of proton =1.007276=1.007276 u, mass of hydrogen atom =1.007825=1.007825 u, and by definition the mass of 612C^{12}_{6}C is exactly 1212 u. It is important to note that the values usually quoted are atomic masses (nucleus plus its full complement of orbiting electrons), not bare nuclear masses; to get the mass of the nucleus alone, the mass of the atom's ZZ electrons must be subtracted from the atomic mass. …

Misc Example 8.6Average atomic mass of chlorine

Worked out. This worked example computes the average atomic mass of chlorine from its two naturally occurring isotopes: chlorine-35, which makes up 75.77 percent of natural chlorine with an isotopic mass of 34.96885 u, and chlorine-37, which makes up the remaining 24.23 percent with an isotopic mass of 36.96593 u. Weighting each isotope's mass by its fractional abundance and adding the two contributions, (0.7577 times 34.96885) plus (0.2423 times 36.96593), gives an average atomic mass of 35.453 u, which is exactly the value printed for chlorine in the periodic table. The example makes concrete the point that a periodic-table atomic mass is not the mass of any single real chlorine ato …