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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]

\( {\displaystyle R_{s}={\frac {\sqrt {N_{2}}}{4}}\left({\frac {\alpha -1}{\alpha }}\right)\left({\frac {k'_{2}}{1+k'_{2}}}\right)} \)

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.

References

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

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