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- Fundamental_Resolution_Equation abstract "The Fundamental Resolution Equation is an equation used in chromatography to help relate adjustable chomatographic parameters to resolution, and is as follows:Rs = [N1/2/4][(α-1)/α][k2'/(1+k2')], whereN = Number of theoretical platesα = Selectivity Term = k2'/k1'The [N1/2/4] term is the column factor, the [(α-1)/α] term is the thermodynamic factor, and the [k2'/(1+k2')] term is the retention factor. The 3 factors are not completely independent, but they are very close, and can be treated as such.So what does this mean? It means that to increase resolution of two peaks on a chromatogram, one of the three terms of the equation need to be modified.1) N can be increased by lengthening the column (least effective, as doubling the column will get a 21/2 or 1.44x increase in resolution).2) Increasing k' also helps. This can be done by lowering the column temperature in G.C., or by choosing a weaker mobile phase in L.C. (moderately effective)3) Changing α is the most effective way of increasing resolution. This can be done by choosing a stationary phase that has a greater difference between k1' and k2'. It can also be done in L.C. by using pH to invoke secondary equilibria (if applicable).The Fundamental Resolution Equation is derived as follows:For 2 closely spaced peaks, ω1 = ω2, and σ1 = σ2so Rs = (tr2 - tr1)/ω2 = (tr2 - tr1)/4σ2Where tr1 and tr2 are the retention times of two separate peaks.Since N = [(tr2)/σ2]2, then σ = tr2/ N1/2Using substitution, Rs = N1/2[(tr2 - tr1)/4tr2] = (N1/2/4)(1 - tr1/tr2)Now using the following equations and solving for tr1 and tr2k1' = (tr1 - t0)/t0 ; tr1 = t0(k1' + 1)k2' = (tr2 - t0)/t0 ; tr2 = t0(k2' + 1)Substituting again and you get:Rs = [N1/2/4][1 - (k1' + 1)/(k2' + 1] = [N1/2/4][(k2' - k1')/(1 + k2')]And finally substituting once more α = k2'/k1' and you get the Fundamental Resolution Equation:Rs = [N1/2/4][(α-1)/α][k2'/(1+k2')]".
- Fundamental_Resolution_Equation wikiPageID "32241229".
- Fundamental_Resolution_Equation wikiPageLength "3135".
- Fundamental_Resolution_Equation wikiPageOutDegree "6".
- Fundamental_Resolution_Equation wikiPageRevisionID "641403325".
- Fundamental_Resolution_Equation wikiPageWikiLink Category:Chromatography.
- Fundamental_Resolution_Equation wikiPageWikiLink Chromatography.
- Fundamental_Resolution_Equation wikiPageWikiLink Equation.
- Fundamental_Resolution_Equation wikiPageWikiLink Retardation_factor.
- Fundamental_Resolution_Equation wikiPageWikiLink Theoretical_plate.
- Fundamental_Resolution_Equation wikiPageUsesTemplate Template:Cleanup.
- Fundamental_Resolution_Equation wikiPageUsesTemplate Template:Multiple_issues.
- Fundamental_Resolution_Equation wikiPageUsesTemplate Template:Orphan.
- Fundamental_Resolution_Equation wikiPageUsesTemplate Template:Reflist.
- Fundamental_Resolution_Equation wikiPageUsesTemplate Template:Unreferenced.
- Fundamental_Resolution_Equation subject Category:Chromatography.
- Fundamental_Resolution_Equation hypernym Equation.
- Fundamental_Resolution_Equation type Page.
- Fundamental_Resolution_Equation type Process.
- Fundamental_Resolution_Equation type Technique.
- Fundamental_Resolution_Equation comment "The Fundamental Resolution Equation is an equation used in chromatography to help relate adjustable chomatographic parameters to resolution, and is as follows:Rs = [N1/2/4][(α-1)/α][k2'/(1+k2')], whereN = Number of theoretical platesα = Selectivity Term = k2'/k1'The [N1/2/4] term is the column factor, the [(α-1)/α] term is the thermodynamic factor, and the [k2'/(1+k2')] term is the retention factor.".
- Fundamental_Resolution_Equation label "Fundamental Resolution Equation".
- Fundamental_Resolution_Equation sameAs Q5508947.
- Fundamental_Resolution_Equation sameAs m.0gy1qm5.
- Fundamental_Resolution_Equation sameAs Q5508947.
- Fundamental_Resolution_Equation wasDerivedFrom Fundamental_Resolution_Equation?oldid=641403325.
- Fundamental_Resolution_Equation isPrimaryTopicOf Fundamental_Resolution_Equation.