Maier-Kelley heat capacity equation

Equation (8.9) would be the procedure used with the HDNB data set, or any other set that gives standard thermodynamic parameters at 298 K, 1 bar, plus Maier-Kelley heat capacity coefficients. The RHF tables hst AjG° at various temperatures above 298 K at one bar, so that these can be used directly to give the first two terms on the right-hand side of equation (8.6). In other words... 

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... 

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... 

This is the Maier-Kelley equation for heat capacities (Maier and Kelley, 1932). Several other equations are also commonly used to fit the heat capacity (see for example Tables 7.1, 7.2 and 7.3). Rather than try to present the rest of the equations in this chapter for all current versions of this equation, we continue to use the Maier-Kelley equation as an example. Commonly used equations derived using other heat capacity expressions are presented in Appendix B. 

We remind the reader at this point that all the expressions involving a, b, and c in this chapter are derived using the Maier-Kelley expression for the variation of Cp as a function of T. Several other equations are in common use, which will of course change the derived equations. Obviously we cannot derive all the equations for each case the important thing is to see the dependence of the various functions discussed here on the heat capacity. In Appendix B we present the essential equations for several versions of the heat capacity expression. 

The equations derived thus far have been based on an explicit formulation of the variation of heat capacity with temperature (that is, the Maier-Kelley formula). It has led to some rather lengthy equations. 

This equation is equivalent to equation (1) in Ulbrich and Merino (1974). The heat capacity integrals are evaluated from the integrated form of the Maier-Kelley equation ... 

---