Accurate extrapolations of retention indices over the C1–C44 range in isothermal high resolution gas chromatography

Ballschmiter, Karlheinz; Heeg, FJ; Neu, H. J.; Zinburg, R

doi:10.1007/bf00487074

Cited by 9 publications

(12 citation statements)

References 88 publications

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“…Reference points of retention indexes ( I ) were calculated according to the respective inverse forms [17,18] of Eqs. (1), (4), (7) and (9):

I_{cal} = [A^{'} {(log Δ t_{z})}^{2} + B^{'} (log Δ t_{z}) + C^{'}] 100

I_{cal} = [U^{'} {(log t_{RT}^{'})}^{2} + V^{'} (log t_{RT}^{'}) + W^{'}] 100

I_{cal} = [̵^{'} (log Δ t_{z}) + =^{'}] 100

I_{cal} = [b^{'} {(log t_{R}^{'})}^{2} + c^{'}] 100

…”

Section: Methodsmentioning

confidence: 99%

“…t M is obtained via two types of common methods: one using air, methane ( t MCH 4 ) or neon ( t MNe ) as a marker to measure t M experimentally; the other using calculation methods, such as the LE iterative method [8], which is called t MM . Because the dependence of

t_{R z}^{'}

on z is not linear, many nonlinear models have been proposed [9–18]. …”

Section: Introductionmentioning

confidence: 99%

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A new accurate quadratic equation model for isothermal gas chromatography and its comparison with the linear model

Chen

et al. 2012

Journal of Chromatography A

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The gas holdup time (tM) is a dominant parameter in gas chromatographic retention models. The difference equation (DE) model proposed by Wu et al. (J. Chromatogr. A 2012, http://dx.doi.org/10.1016/j.chroma.2012.07.077) excluded tM. In the present paper, we propose that the relationship between the adjusted retention time tRZ′ and carbon number z of n-alkanes follows a quadratic equation (QE) when an accurate tM is obtained. This QE model is the same as or better than the DE model for an accurate expression of the retention behavior of n-alkanes and model applications. The QE model covers a larger range of n-alkanes with better curve fittings than the linear model. The accuracy of the QE model was approximately 2–6 times better than the DE model and 18–540 times better than the LE model. Standard deviations of the QE model were approximately 2–3 times smaller than those of the DE model.

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“…Reference points of retention indexes ( I ) were calculated according to the respective inverse forms [17,18] of Eqs. (1), (4), (7) and (9):

I_{cal} = [A^{'} {(log Δ t_{z})}^{2} + B^{'} (log Δ t_{z}) + C^{'}] 100

I_{cal} = [U^{'} {(log t_{RT}^{'})}^{2} + V^{'} (log t_{RT}^{'}) + W^{'}] 100

I_{cal} = [̵^{'} (log Δ t_{z}) + =^{'}] 100

I_{cal} = [b^{'} {(log t_{R}^{'})}^{2} + c^{'}] 100

…”

Section: Methodsmentioning

confidence: 99%

t_{R z}^{'}

on z is not linear, many nonlinear models have been proposed [9–18]. …”

Section: Introductionmentioning

confidence: 99%

A new accurate quadratic equation model for isothermal gas chromatography and its comparison with the linear model

Chen

et al. 2012

Journal of Chromatography A

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“…Equation (19) denies the equivalence of the limiting t 0 value evaluated using t R data for three consecutive homologues and the formula of Peterson and Hirsch (5). Hence, if the most precise t 0 evaluations in TP conditions can be obtained using data for just three nalkanes, we can modify Eq.…”

Section: Application Of Recurrences In Evaluation Of Holdup Time At Imentioning

confidence: 98%

“…However, the ground for deriving relation (19) is not the logarithmic dependence (3), but mathematical properties of recurrent relations (Eqs. 16 and 17).…”

Section: Application Of Recurrences In Evaluation Of Holdup Time At Imentioning

confidence: 99%

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Evaluating the Holdup Time of Gas-Chromatographic Systems in Various Temperature Regimes by Using Recurrent Relations

Зенкевич

2012

Chromatographia

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The new algorithm for evaluating the holdup time of gas-chromatographic systems (t 0 ) is considered. It is applicable at any temperature regimes of analysis not only isothermal, but also with linear temperature programming. It is based on the extrapolation of retention times of consecutive homologues (in particular, n-alkanes) with the evaluation of retention time of hypothetical homologue with zero number of carbon atoms in the molecule by using linear recurrent relations. It is shown that historically first method for evaluating t 0 using retention times (t R ) of three consecutive homologues, proposed by Peterson and Hirsch (J Lipid Res 1:132-144, 1959), can be expanded onto temperature programming regimes after its modification by replacing t R values by their squares.

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Extrapolation of isothermal retention data in gas chromatography for chiral recognition studies

1991

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Accurate extrapolations of retention indices over the C1–C44 range in isothermal high resolution gas chromatography

Cited by 9 publications

References 88 publications

A new accurate quadratic equation model for isothermal gas chromatography and its comparison with the linear model

A new accurate quadratic equation model for isothermal gas chromatography and its comparison with the linear model

Evaluating the Holdup Time of Gas-Chromatographic Systems in Various Temperature Regimes by Using Recurrent Relations

Extrapolation of isothermal retention data in gas chromatography for chiral recognition studies

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