Statistical approach to chromatographic theory

Fritz, James S.; Scott, Dan M.

doi:10.1016/s0021-9673(00)80219-8

Cited by 32 publications

(30 citation statements)

References 12 publications

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“…It does not describe factors such as carrier gas flow rate, particle size and molecular diffusion, which affect band broadening. Thus, the rate theory was created to supplement the plate theory [5]. The plate theory has provided a better understanding of the mechanisms of band broadening and has helped in the advancement of many branches of chromatography.…”

Section: Generalmentioning

confidence: 99%

Prediction of gas chromatographic peak width in capillary columns at different temperatures, carrier gas flows, column lengths, inside diameters and carbon numbers

Krisnangkura

Pongtonkulpanich

2006

J of Separation Science

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Original PaperPrediction of gas chromatographic peak width in capillary columns at different temperatures, carrier gas flows, column lengths, inside diameters and carbon numbersWidth factor (w f ), relative band broadening (b r ) and retention factor are linearly correlated as ln w f = lnb r + lnk [Chromatographia (2002) 56, 99 -103]. The k and b r are thermodynamic and kinetic energy parameters, and expanded to cover volumetric flow of carrier gas, temperature, phase ratio (b) and carbon number (z). For columns of the same stationary phase and b value but of different lengths, width at base (w b ) can be predicted with the same numerical values of the constants. The average absolute differences between predicted and experimental w b for BP-1 columns of 30, 20 and 10 m are 1.27%, 1.21% and 1.37%, respectively. In predicting w b of n-alkanes eluted from columns of the same stationary phase but of different ID, only the differences of ln b are required for adjustment of one of the numerical values. The average absolute differences between w b (cal) and w b (exp) values for columns of 0.53, 0.32, 0.22 and 0.15 mm ID are 2.06, 3.67, 3.82 and 3.47%, respectively.

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Section: Generalmentioning

confidence: 99%

Prediction of gas chromatographic peak width in capillary columns at different temperatures, carrier gas flows, column lengths, inside diameters and carbon numbers

Krisnangkura

Pongtonkulpanich

2006

J of Separation Science

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“…The concept of the modified model (DGV model, Figures 1, 2) is essentially the same as that of the previous model [8], the theoretical basis of which was the Craig plate model [1,3,6]. At equilibrium, the solute is partitioned between the stationary (S) and mobile (M) phases at each plate, and the partition coefficient, K, is defined as the ratio of the concentrations (C S and C M ) of solute in two phases :…”

Section: Conceptmentioning

confidence: 99%

“…Asymmetric chromatographic peaks, "tailing" and "fronting", have been explained well by the convex and concave isotherms, respectively [2][3][4][5]. However, it is not always easy to understand these explanations instantaneously, mostly because they were made without appropriate position peaks (chromatographic peaks that are still on a column [6]). A computer simulation based on the Craig plate model (discontinuous plate model [1]) for the convex (Langmuir-type) isotherm can easily draw a tailing position peak [7].…”

Section: Introductionmentioning

confidence: 99%

“…However, the peak itself is merely a calculated result and does not explain why the peak tailed. Further, a linear isotherm with a small capacity factor (k' 1) also gives a tailing position peak at a small number of transfers of mobile phases, n [7]; of course, this tailing peak becomes more Gaussian as n becomes larger [7], and the chromatogram (exit peak [6]) also becomes more Gaussian as the number of theoretical plates, N, becomes larger [1,6]. Therefore, these kinds of tailing position peaks represented by ordinary line graphs alone are not useful for the explanation of why these peaks tailed.…”

Section: Introductionmentioning

confidence: 99%

“…The theoretical basis of the TT model is the Craig plate model, which has been well illustrated using ideal countercurrent distribution [1,3,6]. In the TT model, solute molecules are imagined separated from the solvents and gathered together tightly, and are represented by "water".…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Analogue Column Model for Nonlinear Isotherms. The Double-Glazed Vessel Model.

Sugata¹,

Abe²

2000

J. Chem. Software

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The "double-glazed vessel model" (DGV model) is an imaginary model modified from the previously reported "test tube model", and is drawn graphically by computer. The vessel has a double wall, the inner wall of which has a pinhole near the bottom. The "mass of gathered solute molecules" is considered to be liquid, and is referred to merely as "solute". At equilibrium, the solute levels in the two compartments become equal. The inner and outer compartments form the shapes of solute in the stationary and mobile phases, respectively. For example, a vessel with cylindrical (inner) and trumpet-shaped (outer) walls is devoted to the convex (Langmuir-type) isotherm. Computer simulations of chromatography using the DGV model directly explained the asymmetric peaks caused by nonlinear isotherms. For example, the explanation of the tailing peak caused by convex isotherm, "as much solute is transferred (relatively to that remaining in the stationary phase) at the center of the band rather than at the edges, i.e. as the center moves faster than the edges, the chromatogram exhibits tailing", is directly understood from the simulated result ( Figure 4A).

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Contemporary capillary columns for gas chromatography

Blomberg

1984

J. High Resol. Chromatogr.

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Statistical approach to chromatographic theory

Cited by 32 publications

References 12 publications

Prediction of gas chromatographic peak width in capillary columns at different temperatures, carrier gas flows, column lengths, inside diameters and carbon numbers

Prediction of gas chromatographic peak width in capillary columns at different temperatures, carrier gas flows, column lengths, inside diameters and carbon numbers

An Analogue Column Model for Nonlinear Isotherms. The Double-Glazed Vessel Model.

Contemporary capillary columns for gas chromatography

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