logging in or signing up The theory for gradient chromatography revisited Sebastiana Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINTLite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 1128 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: February 07, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: ckgadewar (32 month(s) ago) please allow me to download Saving..... Post Reply Close Saving..... Edit Comment Close By: ckgadewar (32 month(s) ago) pleas allow me to download Saving..... Post Reply Close Saving..... Edit Comment Close By: nafizoc (37 month(s) ago) good presentation, but how can i download it... Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript The Theory for Gradient Chromatography Revisited: The Theory for Gradient Chromatography Revisited by Jan Ståhlberg Academy of Chromatography www.academyofchromatography.comObjective of the presentation: Version: 05/20/07 (c) Academy of Chromatography 2007 2 Objective of the presentation Discuss the background of the traditional theory for gradient chromatography. Show how a more fundamental and general theory for gradient chromatography can be obtained. Show some applications of the general theory.Brief review of the traditional theory (1): Brief review of the traditional theory (1) Version: 05/20/07 The traditional derivation starts with the velocity of the migrating zone as a function of the local retention factor. Zone velocity Local retention factor as a function of mobile phase composition F Mobile phase velocity F(x,t) us Brief review of the traditional theory (2): Brief review of the traditional theory (2) Version: 05/20/07 Brief review of the traditional theory (3): Brief review of the traditional theory (3) Version: 05/20/07 In many cases the retention factor of a solute decreases exponentially with F, i.e.: Where S is a constant characteristic of the solute.Brief discussion of the traditional theory (4): Brief discussion of the traditional theory (4) Version: 05/20/07 Mass balance approach(1): Mass balance approach(1) Version: 05/20/07 A fundamental starting point for an alternative gradient theory is the mass balance equation for chromatography: c= solute concentration in the mobile phase n= solute concentration on the stationary phase F= column phase ratio D= diffusion coefficient of the solute x= axial column coordinate t= time Mass balance approach(2): Mass balance approach(2) Version: 05/20/07 Mass balance approach(3): Mass balance approach(3) Version: 05/20/07 The mass balance equation becomes:. Here, the diffusive term has been omitted. The equation is the analogue of the ideal model for chromatography. The term ∂n/∂Φ is a function of c, i.e. In the limit c→0, the traditional representation of gradient chromatography theory is obtained. Mass balance approach(4): Mass balance approach(4) Version: 05/20/07 For a solute it is often found that: Where c is the concentration of the solute in the mobile phase and k0 the retention factor of the solute when Ф =0. The function ∂Ф/∂t is known and determined by the experimenter. For a linear gradient it is equal to the slope, G, of the gradient. Mass balance approach(5): Mass balance approach(5) Version: 05/20/07 Mass balance approach(6): Mass balance approach(6) Version: 05/20/07 Gradient equation; Gaussian injection;S*G=5: Gradient equation; Gaussian injection;S*G=5 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol, t0=50,s ki=10, ,ti=10s Gradient equation; Gaussian injection;S*G=1: Gradient equation; Gaussian injection;S*G=1 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10mmol, t0=50,s ki=10, ,ti=10s Gradient equation; Gaussian injection;S*G=0.1: Gradient equation; Gaussian injection;S*G=0.1 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol, t0=50,s ki=10, ,ti=10s Gradien equation; Gaussian injection;S*G=0.05: Gradien equation; Gaussian injection;S*G=0.05 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol, t0=50,s ki=10, ,ti=10s Gradient equation; Gaussian injection: S*G=0.01: Gradient equation; Gaussian injection: S*G=0.01 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol , t0=50,s ki=10, ,ti=10s Mass balance approach(7): Mass balance approach(7) Version: 05/20/07 Mass balance approach(8): Mass balance approach(8) Version: 05/20/07 Conclusions: Conclusions Version: 05/20/07 You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
The theory for gradient chromatography revisited Sebastiana Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINTLite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 1128 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: February 07, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: ckgadewar (32 month(s) ago) please allow me to download Saving..... Post Reply Close Saving..... Edit Comment Close By: ckgadewar (32 month(s) ago) pleas allow me to download Saving..... Post Reply Close Saving..... Edit Comment Close By: nafizoc (37 month(s) ago) good presentation, but how can i download it... Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript The Theory for Gradient Chromatography Revisited: The Theory for Gradient Chromatography Revisited by Jan Ståhlberg Academy of Chromatography www.academyofchromatography.comObjective of the presentation: Version: 05/20/07 (c) Academy of Chromatography 2007 2 Objective of the presentation Discuss the background of the traditional theory for gradient chromatography. Show how a more fundamental and general theory for gradient chromatography can be obtained. Show some applications of the general theory.Brief review of the traditional theory (1): Brief review of the traditional theory (1) Version: 05/20/07 The traditional derivation starts with the velocity of the migrating zone as a function of the local retention factor. Zone velocity Local retention factor as a function of mobile phase composition F Mobile phase velocity F(x,t) us Brief review of the traditional theory (2): Brief review of the traditional theory (2) Version: 05/20/07 Brief review of the traditional theory (3): Brief review of the traditional theory (3) Version: 05/20/07 In many cases the retention factor of a solute decreases exponentially with F, i.e.: Where S is a constant characteristic of the solute.Brief discussion of the traditional theory (4): Brief discussion of the traditional theory (4) Version: 05/20/07 Mass balance approach(1): Mass balance approach(1) Version: 05/20/07 A fundamental starting point for an alternative gradient theory is the mass balance equation for chromatography: c= solute concentration in the mobile phase n= solute concentration on the stationary phase F= column phase ratio D= diffusion coefficient of the solute x= axial column coordinate t= time Mass balance approach(2): Mass balance approach(2) Version: 05/20/07 Mass balance approach(3): Mass balance approach(3) Version: 05/20/07 The mass balance equation becomes:. Here, the diffusive term has been omitted. The equation is the analogue of the ideal model for chromatography. The term ∂n/∂Φ is a function of c, i.e. In the limit c→0, the traditional representation of gradient chromatography theory is obtained. Mass balance approach(4): Mass balance approach(4) Version: 05/20/07 For a solute it is often found that: Where c is the concentration of the solute in the mobile phase and k0 the retention factor of the solute when Ф =0. The function ∂Ф/∂t is known and determined by the experimenter. For a linear gradient it is equal to the slope, G, of the gradient. Mass balance approach(5): Mass balance approach(5) Version: 05/20/07 Mass balance approach(6): Mass balance approach(6) Version: 05/20/07 Gradient equation; Gaussian injection;S*G=5: Gradient equation; Gaussian injection;S*G=5 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol, t0=50,s ki=10, ,ti=10s Gradient equation; Gaussian injection;S*G=1: Gradient equation; Gaussian injection;S*G=1 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10mmol, t0=50,s ki=10, ,ti=10s Gradient equation; Gaussian injection;S*G=0.1: Gradient equation; Gaussian injection;S*G=0.1 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol, t0=50,s ki=10, ,ti=10s Gradien equation; Gaussian injection;S*G=0.05: Gradien equation; Gaussian injection;S*G=0.05 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol, t0=50,s ki=10, ,ti=10s Gradient equation; Gaussian injection: S*G=0.01: Gradient equation; Gaussian injection: S*G=0.01 Version: 05/20/07 Solution of the gradient equation for a Gaussian profile, red line. Numeric simulation of the complete mass balance equation, H=10mm, for the same input parameters. c0=10 mmol , t0=50,s ki=10, ,ti=10s Mass balance approach(7): Mass balance approach(7) Version: 05/20/07 Mass balance approach(8): Mass balance approach(8) Version: 05/20/07 Conclusions: Conclusions Version: 05/20/07