Buckinghams Method - Procedure

The method of obtaining the important dimensionless numbers from the b sic differential equations is generally the preferred method. In many cases, however, we are not able to formulate a differential equation which clearly applies. Then a more general procedure is required, which is known as the Buckingham method. In this method the listing of the important variables in the particular physical problem is done first. Then we determine the number of dimensionless parameters into which the variables may be combined by using the Buckingham pi theorem. 

Buckingham and Pople gave a more complete treatment than Stockmayer s of the interaction between two molecules having non-central force fields. Their treatment allows not only for dipole-dipole interaction but also for dipole-quadrupole, quadrupole-quadrupole, dipole-induced dipole, steric, anisotropic, and other effects. An important feature of the Buckingham-Pople procedure is that the various integrals needed can be calculated from a master table that they give. Buckingham and Pople applied their method to four polar compounds for which values of the dipole moment and the polarizability were known, and used B(T) to... 

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