THE CALCULATION OF THERMODYNAMIC PROPERTIES OF GASES AT HIGH TEMPERATURES
Technical documentary rept.
NATIONAL BUREAU OF STANDARDS GAITHERSBURG MD
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The calculation of thermodynamic properties of gases at high temperature using ion solution theory is analyzed in regard to various details. Earlier work based on rigid sphere ions is enlarged on briefly. An extension to a more general case of realistic pair interactions is also obtained. With Debye screened ionic interactions, a study is made of effects of repulsions and both continuum and bound states for ionic attractions simple approximate representations of the interaction effects for the two free particle interaction cases are given. For the bound states, the finite number of states available for occupancy as a result of Debye screening is explicitly indicated, and a numerical method to adjust from an arbitrary state sum to the Debye screened sum is explained. An extensive compensation between bound states just below the continuum and a partial state paucity within the continuum are also noted. Other details considered include the estimation of the dielectric constant up into the region of high density and high temperature, the semi-empirical estimation of nonbonding pair interactions involving neutral and ionized species, and corresponding virial-type exclusion effects. A table of second virials for constituents of air up to 20,000 deg K is included.