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             C                  1 -C
             e ____                 e1-                      C, -=                   (4.14)
           13   K'.-1
              1 +
           i     e             i=2 C
                 e                  e

The set of equations (4.8-1) through (4.8-14) has thus

been reduced to a fundamental expression relating the

electron concentration to the pressure and temperature.

Equation (4.14) can be written as

               C            C  -1
F(PTC           e 1     +         K3eK' = 0     (4.15)
                  ei-i3            i-i
              i     i-l       I=2C   l
           i=2    C           i
                   e              e

For a given temperature and pressure, F(P,T,C e)      F(C e)

becomes a polynomial function of Ce, and (4.15) can be

expressed as

                          G (Ce
                   F(Ce) =   e                  (4.16)
                        e   (CT(416
                             e

where


               13 K'.              13    K'i
G(C ) - Ce  +           + (Ce- 1)      . -Z--   (4.17)
              i=2 C               i=2    Ce                                         e



              13 K'.   13    K'.
H(C e) = (1 +       1(       -7424.)            (4.18)
            i=2 C     i=2    C
                 e            e

Since all C , K', and Z. are positive, H(C e) is always
             i'        1                 C