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where - beginning of chromatographic column, and - end of chromatographic column.

Let at moment pressure at inlet and outlet of chromatographic column be correspondingly

Then at moments of time on corresponding sections

of chromatographic column, pressure will be

It may be noticed that

as well as

in this case

а

We build a matrix of pressures in following way: let each line in it correspond to pressures of column at points

at a pressure at inlet and at outlet of column at a moment while each column corresponds to pressures at a point at moments of time

Thus matrix has following form

The first column of matrix corresponds to pressure at inlet of column, while last one to outlet. They are chosen such that in column zone where sample is found at a definite moment of time, there will always exist a constant pressure corresponding to an optimal flow rate. The first column corresponds to moment of sample introduction, and last one to elution of separated components from column. Each element of matrix corresponds to a definite flow rate at a definite moment of time. To each element of matrix there corresponds a definite flow rate and followingly its equation from multiple (3). The matrix elements corresponding to passage of sample with an optimal speed through corresponding points of column at definite moments of time are marked in yellow. For these it may be written

The carrier-gas pressure is programmed in such a way that it constantly secures an optimal linear speed for an imaginary point - zone of sample which travels with carrier-gas from inlet to outlet of chromatographic column in time, keeping ∆ p constant at its ends during whole cycle of analysis. This arithmetical model (of Hayrapetyan - Aghababyan) of chromatographic analysis built on basis of equation of Van Deemter describes in detail mentioned technological process of analysis organization and corresponds to that equation from multiple (3) which provides optimal conditions of analysis and leads to attainment of maximum possible efficiency of column (Hayrapetyan's Effect). In other words pressure at inlet and outlet of chromatographic column is programmed such, that carrier-gas flow rate in column is optimal in each section at needed moments of time. Thus, separation of sample is characterized by equations from multiple (3)

and they are all equivalent to equation

(4)

And thus maximum possible efficiency of chromatographic column is attained (Hayrapetyan's Effect).

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