Physics:Resolution (chromatography)

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Example chromatogram showing signal as a function of retention time

In chromatography, resolution is a measure of the separation of two peaks of different retention time t in a chromatogram.[1][2][3][4]

Expression

Chromatographic peak resolution is given by

[math]\displaystyle{ R_s = 2\cfrac{t_{R2}-t_{R1}}{w_{b1}+w_{b2}} }[/math]

where tR is the retention time and wb is the peak width at baseline. Here compound 1 elutes before compound 2.

If the peaks have the same width

[math]\displaystyle{ R_s = \cfrac{t_{R2}-t_{R1}}{w_b} }[/math].

Plate number

Two resolved peaks in a chromatogram

The theoretical plate height is given by

[math]\displaystyle{ H = \frac{L}{N} }[/math]

where L is the column length and N the number of theoretical plates.[5] The relation between plate number and peak width at the base is given by

[math]\displaystyle{ N = 16 \cdot \left(\frac{t_R}{W_b}\right)^2 \, }[/math].

See also

References

  1. IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version:  (2006–) "Peak Resolution Rs in chromatography". doi:10.1351/goldbook.P04465
  2. IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version:  (2006–) "Peak Resolution in gas chromatography". doi:10.1351/goldbook.R05317
  3. Maryutina, Tatiana A.; Savonina, Elena Yu.; Fedotov, Petr S.; Smith, Roger M.; Siren, Heli; Hibbert, D. Brynn (2018). "Terminology of separation methods (IUPAC Recommendations 2017)". Pure and Applied Chemistry 90 (1): 181–231. doi:10.1515/pac-2017-0111. ISSN 0033-4545. 
  4. Ettre, L. S. (1993). "Nomenclature for chromatography (IUPAC Recommendations 1993)". Pure and Applied Chemistry 65 (4): 819–872. doi:10.1351/pac199365040819. ISSN 1365-3075. 
  5. IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version:  (2006–) "plate number, N". doi:10.1351/goldbook.P04694

External links