The extra column dispersion, however, must be shared between all the possible dispersion sources, one of which, the dispersion due to a finite sample volume, may be critical for a satisfactory analysis. The critical nature of the sample volume arises from the fact that the sample volume controls the maximum amount of the sample that can be placed on the column and thus, the ultimate sensitivity of the analysis.
Now, summing
the variances
|
where ( |
is the overall variance of the eluted peak, |
|
( |
is the variance of the sample volume, |
|
and ( |
is the variance due to column dispersion. |
It has been
established that the variance of a rectangular distribution of sample
volume (Vi) will be
. It can again be assumed that the peak variance can be
increased by 10% as a result of extra column dispersion without seriously
denigrating column performance. Unfortunately, all the permitted extra
column dispersion can not be assigned to the effect of a finite sample volume
as some must be allocated to other dispersion sources. As an arbitrary judgment
half of the permissible extension of peak width will be allotted to the effect
of the sample volume (i.e., the variance can be increased by 5 %). This
is a variable proportion as it will depend on the magnitude of other sources of
extra column dispersion. If the chromatographic apparatus is carefully designed
to minimize all other dispersion sources then significantly more than half the
permissible extra column dispersion could be allotted to the effect of sample
volume.





