Purnell equation

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The Purnell equation is an equation used in analytical chemistry to calculate the resolution Rs between two peaks in a chromatogram.[1] [2]

[math]\displaystyle{ R_s = \frac{\sqrt{N_2}}{4} \left ( \frac{\alpha - 1}{\alpha} \right ) \left ( \frac{k'_2}{1 + k'_2} \right ) }[/math]

where

Rs is the resolution between the two peaks
N2 is the plate number of the second peak
α is the separation factor between the two peaks
k '2 is the retention factor of the second peak.

The higher the resolution, the better the separation.

References

  1. Purnell, J.H. (1960). "The correlation of separating power and efficiency of gas-chromatographic columns". J. Chem. Soc.: 1268–1274. doi:10.1039/JR9600001268. 
  2. Skoog, D.A.; Holler, F.J.; Nieman, T.A. (1998). Principles of instrumental analysis. Belmont, CA: Brooks/Cole. p. 689.