Abstract
In this paper, radiation in a gas of uniform properties due to the numerous, individually weak, closely spaced lines associated with high quantum number states of monatomic particles is considered. It is shown that the frequency-integrated radiation due to each type of line can be simply and quite accurately calculated if the lines are replaced by appropriate continuous absorption coefficients. This treatment also accounts for the bound-free transitions from high-quantum number initial states. The number of lines which can be treated by this method depends on the accuracy to which the frequency-integrated intensity is required. Little error will occur in the total intensity from the gas if the method is used for all lines except for a new lines which occur early in low-lying series plys any self-absorbed lines which do not merge with their neighbors.
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