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Low Temperature Equations

        Due to the decrease in the atomic hydrogen concentration at low temperatures, the iterative technique described in the preceding section does not readily converge for temperatures below about 13,000'K. The convergence criteria were made less stringent in an attempt to use the intermediate temperature technique for low temperatures and high pressures, but the solutions obtained were accompanied by prohibitively large errors. Since the plasma temperature of the outer hydrogen region can be only slightly higher than the graphite melting temperature, a description of the hydrogen plasma composition is needed in the low temperature region. For temperatures from 50001K to 15,0001K, a different numerical technique is used.

        The equations (5.53) and (5.54) are taken as the starting point. Solving equation (5.53) for Ce gives Ce =V                                             (5.60)


where

                       C2 K*       C2
          R = (C,2   +        (1 +                 (5.61)
                      2 KK
                                   13


Using (5.61) with equation (5.54) yields the equation