Applications of the Plate Theory

Equation (1) is the well-known Gaussian form of the elution curve equation and can be used as an alternative to the Poisson form in all applications of the Plate Theory. 

Now, if the column is to effect a particular separation, where the pair of solutes that are eluted closest together have a separation ratio of (a) and the first of the pair, ( solute A), is eluted at a capacity ratio value of (k A), then the value of (n) is given by the Purnell Equation, which was discussed in the chapter on The Applications of the Plate Theory, viz... 

For any given chromatographic system, there is a limiting charge that can be placed on a column before the resolution is impaired. Loss of resolution from column overload can arise from two causes, either excessive sample feed volume or excessive sample mass. The theory of moderate sample volume overload has already been considered in the applications of the Plate Theory. The theory of excessive sample volume overload will now be discussed. 

Rieman, W. Application of the plate theory to the anion exchange chromatography of glycols. J. Phys. Chem. 60, 1370 (1956). 

Broadly, there are two classes of model which have found application (2) The plate theory is based on an oversimplified... 

Vacancy chromatography has some quite unique properties and a number of potentially useful applications. Vacancy chromatography can be theoretically investigated using the equations derived from the plate theory for the elution of... 

Corrosion potentials in plating baths The standing potentials of steel and copper (before application of current) are shown in Table 12.2, together with the standing potential of the plated metal and the potential below which hydrogen should, in theory, be evolved. The potential of the cathode during deposition at a typical current density is also given. 

It is now clear that the plate theory has a wide field of application. Its use, however is not restricted to LC. For example, the plate theory can be used to Investigate temperature changes that take place in a GC column,(3), pressure changes that take place in a GC column, (4), the effect of solute decomposition on band profile and other similar effects that can take place in a chromatographic system. The plate theory has many areas of application that still remain to be explored. 

The plate theory assumes that complete equilibration occurs in each of the N segments of the column. This assumption is not applicable to all solutes, and because of this, the rate theory was developed. 

We shall now discuss the application of the Ericksen-Leslie theory to some practical problems in viscometry. Probably the first precise determination of the anisotropic viscosity of a nematic liquid crystal was by Miesowicz. He oriented the sample by applying a strong magnetic field and measured the viscosity coefficients in the following three geometries using an oscillating plate viscometer ... 

Vacancy chromatography has some quite unique properties and a number of potentially useful applications. Vacancy chromatography can be theoretically investigated using the equations derived from the plate theory for the elution of positive concentration profiles. As already stated, if a mobile phase contains a solute at a concentration (Xq), then, after equilibrium, the eluent from the column will also contain the solute at a concentration (Xq). 

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