Heat capacity Berman-Brown equation

In 3.5.3 we introduced both the Maier-Kelley and the Berman-Brown equations to describe the variation of heat capacity with temperature, and in Equation (5.30) showed an equation for the variation of A G° with T, using the Maier-Kelley formulation. This equation is... 

Another widely used heat capacity equation was suggested by Berman and Brown (1985). They claim it reproduces calorimetric data better than does Maier-Kelley, and also ensures that Cp approaches the high temperature limit predicted by lattice vibration theory. However, the main reason for knowing... 

Berman (1988), in presenting a widely used set of thermodynamic data for metamorphic minerals, not only used a different heat capacity equation (Equation 3.28), but also a somewhat different method for neglecting the properties of the elements. The Berman-Brown method is in fact the same as Benson-Helgeson for enthalpy, but different for Gibbs energy ( 5.7.1, page 144). 

If you integrate Equation (5.31) using both the Berman and Brown (1985) heat capacity Equation (3.28) and the Berman-Brown convention for A G°, you find... 

---