Grand Canonical Partition Function for Water

4 Relating the Langmuir Constant to Cell Potential Parameters 

8 Accuracy of CSMGem Compared to Commercial Hydrate Programs 

The first two of the above sections are a simplification and slight expansion of the derivation from the review article by van der Waals and Platteeuw (1959). They were written assuming that the reader has a minimal background in statistical thermodynamics on the level of an introductory text, such as that of Hill (1960), McQuarrie (1976), or Rowley (1994). The reader who does not have an interest in statistical thermodynamics may wish to review the basic assumptions in Sections 5.1.1 and 5.1.4 before skipping to the final equations and the calculation prescription in Section 5.2. 

The derivation is a primary example of application of first principles in statistical thermodynamics, to link both microscopic and macroscopic domains for practical applications. For the reader s convenience, Table 5.1 gives the nomenclature used in Sections 5.1.1 and 5.1.2 as well as a listing (in parentheses) of the equations in which each term first appears. 

To develop the model, it was necessary to make four fundamental assumptions based upon structure, stated as follows  

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