Abstract
A new method for finding the line widths of atomic lines produced by thermal energy fluctuations in a gaseous system is developed assuming that the atomic linear density change in the energy of the levels is equal to the linear density of the energy fluctuations per degree of freedom. A formula is derived for the atomic line widths that depends on temperature, the cubic root of the total number density of particles in the system, and on the sum of the squares of the principal quantum numbers of the states that participate in the transitions that produce the lines. The calculated widths agree well with the published experimental and theoretical values. This formula will be useful for directly diagnosing the physical state of stellar atmospheres and plasmas.
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