Purnell equation

The Purnell equation is an equation used in analytical chemistry to calculate the resolution Rs between two peaks in a chromatogram:[1][2][3]

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.

The higher the resolution, the better the separation.

References

  1. Miller, J. M., Chromatography: Concepts and Contrasts, second edition, John Wiley & Sons, Inc., Hoboken, NJ, USA, 2005.
  2. Dean, J. R. et al., Practical Skills in Chemistry, first edition, Pearson Education Ltd., Harlow, UK, 2002, p. 205–224.
  3. C. Legido-Quigley, HPLC theory


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