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L M Blumberg

Publications and source records attributed to L M Blumberg.

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Comprehensive two-dimensional gas chromatography: metrics, potentials, limits.

Metrics for evaluation of separation performance of comprehensive two-dimensional gas chromatography (GCxGC) and for quantitative comparison of that performance with similar performance of its 1D (one-dimensional) counterparts are described. The performance improvement can be expressed via reduction in the saturation of a chromatogram or-in the case of the uniform distribution of peaks along the second dimension--via the peak capacity gain due to GCxGC. An order of magnitude peak capacity gain due to the comprehensive GCxGC is possible under optimal conditions. Optimal parameters of the second dimension column as well as the optimal operational conditions for that column and for the modulator in a comprehensive GCxGC are also presented.

Chromatography, Gas↗

Metrics of separation in chromatography.

A new metric, separation measure, S, for chromatographic separation is proposed. Unlike other metrics such as resolution, separation number, and some versions of peak capacity, the new metric provides a consistent, additive measure of the separation of pairs of peaks as well as the separation capacities of arbitrary intervals within the analysis time. The attribute of additivity means that the separation measure of any separation interval is equal to the sum of the separation measures of its subintervals. Practical aspects of the measurement of S are also addressed. In addition to definition of S, a definition of peak capacity, n, that is consistent with S, and includes useful features of other known definitions of n is proposed for an arbitrary time interval.

Chromatography↗

Quantitative comparison of performance of isothermal and temperature-programmed gas chromatography.

As a basic metric of separation for comparing isothermal and temperature-programmed GC (gas chromatography), we used the separation measure. S (defined elsewhere). We used this metric as both a measure of separation of any two peaks, and a measure of separation capacity of arbitrary intervals where peaks can potentially exist. We derived several formulae for calculation of S for any pair of peaks regardless of their shape and the distance from each other in isothermal and temperature-programmed GC. The formulae for isothermal GC can be viewed as generalizations of previously known expressions while, in the case of temperature-programmed GC, no equivalents for the new formulae were previously known from the literature. In all formulae for S. we identified similar key component-metrics (solute separability, intrinsic efficiency of separation, specific separation measure, separation power) that helped us to identify and better understand the key factors affecting the separation process. These metrics also facilitated the quantitative comparison of separation capacities and analysis times in isothermal and temperature-programmed GC. Some of these metrics can be useful beyond GC. In the case of GC, we have shown that, if the same complex mixture was analyzed by the same column, and the same separation requirements were used then isothermal analysis can separate more peaks than its temperature-programmed counterpart can. Unfortunately, this advantage comes at the cost of prohibitively longer isothermal analysis time. The latter is a well know fact. Here, however, we provided a quantitative comparison. In a specific example, we have shown that a single-ramp temperature program with a typical heating rate yields about 25% fewer peaks than the number of peaks available from isothermal analysis of the same mixture using the same column. However, that isothermal analysis would last 1000 times longer than its temperature-programmed counterpart. Using twice as longer column in the case of a temperature-programmed analysis, allows one to recover the 25% disadvantage in the number of separated peaks, while still retaining a 500-fold advantage in the speed of analysis.

Chromatography, Gas↗

Elution parameters in constant-pressure, single-ramp temperature-programmed gas chromatography.

The dependence of the degree of interaction of a solute with the stationary phase at the time of its elution from the column in temperature-programmed GC is best described by interaction level of the solute. The latter represents the fraction of a solute residing in the stationary phase relative to the total amount of the solute. A simple approach to the evaluation of interaction levels of eluting solutes in a single-ramp temperature program is proposed. In a single-ramp temperature program having no preceding temperature plateau, all solutes that elute at temperatures that are about 60 degrees C higher than the initial temperature of the heating ramp elute with nearly the same interaction levels that can be found as exp(-r), where r is dimensionless heating rate. A specially designed temperature plateau preceding the ramp causes all solutes eluting during the entire time of the ramp to elute with nearly the same interaction levels equal to exp(-r). A transformation of the interaction level of a solute into its retention factor or mobility factor (a fraction of a solute in a mobile phase in relation to the total amount of the solute) and vice versa is also described.

Chromatography, Gas↗

Correlation of characteristic thermal constant and elution temperature in GC.

In a temperature-programmed analysis, the solutes that elute at higher temperatures have generally larger characterisitic thermal constants, theta(char). The change approximately matches the temperature-related increase in a carrier gas viscosity. Accounting for the effect allows reduction in the uncertainty of prediction of theta(char) by a factor or f approximately 2 and, in a constant-pressure mode, description of a linear heating ramp by the same dimensionless rate for all solutes.

Journal Article↗