ISRN Chromatography

Volume 2013 (2013), Article ID 460787, 9 pages

http://dx.doi.org/10.1155/2013/460787

Research Article

Thermodynamic and Extrathermodynamic Studies of Enantioseparation of Imidazolinone Herbicides on Chiralcel OJ Column

Wenjian Lao

Department of Environmental Sciences, University of California, Riverside, CA 92521, USA

Received 26 March 2013; Accepted 22 April 2013

Academic Editors: S. De Marino, Z. Liu, M. P. Marszall, and M. L. Trehy

Copyright © 2013 Wenjian Lao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

A homologous series of chiral imidazolinone herbicide was previously resolved on Chiralcel OJ column in high performance liquid chromatography. However, the mechanism of the chiral separation remains unclear. In this study, chromatographic behaviors of five chiral imidazolinone herbicides were characterized by thermodynamic and extrathermodynamic methods in order to enhance the understanding of the chiral separation. Thermodynamic parameters of this study were derived from equilibrium constant () that was estimated from the moment analysis of the chromatographic peak. Van't Hoff plots of ( versus ) were linear at a range of 15–50°C, only nonlinear at a range of 5–15 °C with n-hexane (0.1%, trifluoroacetic acid)-2-propanol 60/40 (v/v) mobile phase. The enantiomer retention on the chiral column was entropy-driven at a lower temperature (5°C) and enthalpy-driven at a higher temperature (10 to 50°C). Enantioseparations of four of the five imidazolinone herbicides were enthalpy-driven, only entropy-driven for imazaquin. Enantioseparation mechanisms were different in between 5–10°C and 15–50°C probably due to the conformational change of the OJ phase. Enthalpy-entropy compensation showed similar mechanisms in retention and chiral separation for the five or enantiomers. Several extrathermodynamic relationships were able to be extracted to address additivity of group contribution.

1. Introduction

Chiral separation in high-performance liquid chromatography (HPLC) is keeping to be of great interest in diverse areas such as the agrochemicals and pharmaceutical industry [1]. To achieve better resolution and improve chiral stationary phase, enantioseparation mechanisms have been studied extensively using various methods [2–4]. A thermodynamic study is found to be especially valuable for providing information on the separation mechanism [5–7]. A link between chromatographic behavior and thermodynamic parameters such as enthalpy (), entropy (), and Gibbs free energy () is distribution constant () that describes the transfer of an analyte from mobile phase to stationary phase [8]. Moment analysis of elution peak based on a kinetic model provides an approach to estimate the value [9]. The present study is concerned with using the value to characterize retention and chiral separation, a case where there has been so far few works [10].

Extrathermodynamic relationships are empirical correlations of thermodynamic parameters with molecular structures, chromatographic conditions, and enthalpy-entropy compensation (EEC) and have been among the most important tools in investigation of separation mechanism [11, 12]. Many extrathermodynamic relationships have been developed to facilitate the understanding of chromatographic retention and separation mechanism [13]. Typically, it has been demonstrated that the extrathermodynamic relationship derived from homologous series of analytes with additive group such as methylene or phenyl is able to provide useful information on chromatographic behavior [14, 15]. Since lots of extrathermodynamic relationships such as EEC were established based on thermodynamic parameters, many extrathermodynamic studies were correspondingly implemented with the thermodynamic work [6, 16, 17].

Imidazolinone herbicides including six structurally similar chiral compounds are extensively used in the field. In a previous study, enantioseparation for five of these compounds was achieved on a Chiralcel OJ column (Figure 1) [18]. The five imidazolinone compounds are a homologous series that has different additive groups on imazapyr . Although there have been many studies on enantioseparation of OJ column, few studies have been addressed with the effect of temperature and thermodynamic characteristics [19–21]. The main objective of this study was to examine thermodynamic and extrathermodynamic characteristics of chromatographic behaviors for imidazolinone herbicides on the OJ column.

Figure 1: Structures of the imidazolinone herbicide.

2. Experimental

2.1. Chemicals

Imazapyr (99%), imazapic (99%), imazethapyr (99%), imazamox (99%), and imazaquin (99%) were purchased from Chem Service (West Chester, PA. USA). Trifluoroacetic acid (TFA) (99%) and 1,3,5-tri-tert-butylbenzene (TTBB) (≥97.0%) were obtained from Sigma Aldrich (Milwaukee, WI). Solvents n-hexane and 2-propanol (HPLC grade) were purchased from Fisher (Springfield, NJ, USA).

2.2. Apparatus

All measurements were made on an Agilent 1100 HPLC systems (Agilent, Wilmington, DE, USA). Column temperatures at the range of 15–50°C were controlled by the thermostatic column compartment of the instrument itself. Column temperature at 5 and 10°C was achieved by surrounding the column in a coolant-jacketed cylinder coupled to a thermostat (LAUDA K-2/R, Brinkmann Instruments, Germany). The column was a Chiralcel OJ (cellulose 4-methylbenzoate, 250 × 4.6 mm ID with 10 μm particle size, Chiral Technologies, West Chester, PA, USA).

2.3. Chromatography

The analyte concentration was 0.2 mg/mL prepared in the mobile phase. The injection volume was 20 μL. The flow rate of mobile phase was 1.0 mL/min, and the detection wavelength was 254 nm with 4 nm bandwidth. The hold-up time of the chromatographic system was measured by TTBB for every temperature and mobile phase composition. The extra volume () of the instrument system was measured by injecting TTBB solution into the instrument from the pump with a zero-dead volume connector in place of the column. The average value of the Agilent 1100 HPLC system was 0.071 min with n-hexane (0.1%, TFA)-2-propanol 70/30 and 60/40 (v/v) as the mobile phases. The column temperature was changed stepwise at 15, 25, 35, 45, and 50°C for 85/15, 80/20, 75/25, 70/30 and 60/40 (v/v) mobile phases. The column temperatures of 5 and 10°C were only investigated for 70/30, and 60/40 (v/v) mobile phases. The column was equilibrated with the mobile phase for 1 h at each temperature before sample injection. The enantiomer was first eluted followed by the enantiomer for all the five imidazolinone herbicides on OJ column [22].

2.4. Data Analysis

In a chromatographic system, retention is related to the change of Gibbs free energy at equilibrium:

where , , and are the differences in the molar Gibbs free energy, the molar enthalpy, and molar entropy, respectively; is the gas constant; is the absolute temperature in Kelvin; is the distribution constant of the solute between stationary phase and mobile phase. According to the moment analysis method, the first absolute moment of the elution peak equals its retention time when the peak profile is symmetrical [11]

where is the profile of the elution peak and is total porosity of the column (, where is the total volume of the mobile phase in the column, is the geometrical volume of the column, is the mobile phase flow rate, is the diameter of the column tube, and is the length of the column). From (2), is given by

where and are the concentration of the solute in the stationary phase and mobile phase at equilibrium, respectively, is retention factor, and is column phase ratio.

When enantioseparation is achieved with a separation factor , the difference in enthalpy and entropy of the two enantiomers is given by

For nonlinear van’t Hoff behavior, dependence of and can be estimated by a quadratic form

where the coefficients , , and can be estimated by nonlinear regression methods. and can then be obtained by

Equations (6) show that and are temperature dependent with nonlinear van’t Hoff behavior [12].

The EEC phenomenon has been used to estimate the retention and enantioseparation mechanisms of chromatographic systems [7–9]. The EEC on the retention is expressed by

where is the Gibbs free energy at a compensation temperature . The EEC on the separation factor can be expressed as

At the compensation temperature of separation factor, separation factor is given by

If the EEC is observed, it just means that the retention or enantioseparation may be similar. Reversely, an obvious different EEC can certify different retention or enantioseparation mechanisms [23]. Applying Martin’s additive-free-energy relationship [13], a functional group contribution to thermodynamic quantities can be written as

where subscript represents () or () enantiomer and and represent the different imidazolinone herbicides.

3. Results and Discussion

3.1. Effect of Molecular Structure on Thermodynamic Parameters

Van’t Hoff plots of and were linear within 15–50°C. Nonlinear van’t Hoff plots of were obtained only at range of 5–15°C with 60/40 (v/v) mobile phase (Figure 2).

Figure 2: Van’t Hoff plots of and of imazamox at range of 5–50°C with 60/40 mobile phase.

3.1.1. Thermodynamic Parameters at 15–50°C

Generally, values of , , and were negative for all the enantiomers (Table 1), suggesting that their retentions were enthalpy-driven. The first-eluted enantiomer of imazapyr presented the highest value among the five compounds with 85/15 mobile phase. When the hydrogen atom at C5 position of imazapyr pyridine ring (Figure 1) was substituted by a methyl and an ethyl group to form imazapic and imazethapyr , the decreased by 1.4 and 0.9 kJ mol⁻¹, respectively. The smallest belonged to imazamox , which was less by 3.2 kJ mol⁻¹ than imazapyr . Imazaquin had almost equal to imazapyr . On the other hand, the variation of for the enantiomer was different from the enantiomer. Imazaquin had the highest value. Values of for the enantiomers decreased in an order of imazapyr   ≈ imazaquin > imazapic > imazethapyr > imazamox with 85/15 (v/v) mobile phase. Values of for the enantiomer of imazapyr , imazapic , imazethapyr , and imazamox were all less than their enantiomers, but only imazaquin was reversed.

Table 1: Thermodynamic parameters of the imidazolinone herbicides.

Compound
Mobile phase

kJ mol⁻¹
kJ mol⁻¹
J mol⁻¹ K⁻¹
J  mol⁻¹ K⁻¹
kJ mol⁻¹
kJ mol⁻¹

Imazapyr
85/15

80/20

75/25

70/30

60/40

Imazapic
85/15

80/20

75/25

70/30

60/40

Imazethapyr
85/15

80/20

75/25

70/30

60/40

Imazamox
85/15

80/20

75/25

70/30

60/40

Imazaquin
85/15

80/20

75/25

70/30

60/40

Subscripts and denote the (−) and (+) enantiomers. Chromatographic conditions: Chiralcel OJ column; flow rate, 1 mL/min; detection wavelength, 254 nm; mobile phase, n-hexane (0.1%TFA)-2-propanol (v/v); column temperature, 15–50°C.

The high of imazapyr suggested that its enantiomers had large movement freedom in chiral cavity of the OJ phase, likely due to its smaller molecular size [24]. The lowest value of for imazapic    enantiomer indicated that it is possible to fit in the chiral cavity better than the other enantiomers. The highest for imazaquin could be resulted from its bulk molecular size which diminishes the fitting degree to the chiral cavity. Consequently, the effect of steric factor appeared to play an important role in enantiorecognition on the OJ column [25].

Imazaquin had positive and a very small indicating that its chiral separation was entropy-driven (Table 2). The other four herbicides had negative values for both and suggesting enthalpy-driven chiral separations. The decrease of and followed an order imazapyr > imazapic > imazethapyr > imazamox > imazaquin , which was consistent with the increase of substituent dimension on the pyridine ring. The decrease in followed a similar trend to that for or , with the exception for imazethapyr and imazamox . With the entropy compensation, of imazamox was larger than that of imazethapyr . The value of for imazaquin was very small, which reflected a poor steric fitness to the CSP. However, the positive made a counterbalance to achieve the enantioseparation.

Table 2: Thermodynamic parameters , , and of chiral separation.

Compound
Mobile phase

kJ mol⁻¹
J mol⁻¹ K⁻¹
kJ mol⁻¹

Imazapyr
85/15

80/20

75/25

70/30

60/40

Imazapic
85/15

80/20

75/25

70/30

60/40

Imazethapyr
85/15

80/20

75/25

70/30

60/40

Imazamox
85/15

80/20

75/25

70/30

60/40

Imazaquin
85/15

80/20

75/25

70/30

60/40

Enthalpy-entropy ratios , relative contribution of enthalpy and entropy to the enantioseparation at 303 K.

In order to evaluate the relative contribution of enthalpy and entropy to the enantioseparation, enthalpy-entropy ratio     at 303 K was calculated (Table 2) [26]. The calculated followed an order of imazamox > imazethapyr > imazapic > imazapyr > imazaquin . The values of imazapyr , imazapic , imazethapyr , and imazamox were positive and greater than 1, indicating the larger molecule for imazamox , imazethapyr , imazapic , and imazapyr , the greater contribution to enthalpy. Imazaquin had a positive value, revealing that the large and rigid quinoline moiety may exert a different effect on solute-CSP complexation to cause a greater entropic contribution [27].

3.1.2. Thermodynamic Parameters at 5–15°C

The nonlinear van’t Hoff plots in the range of 5–15°C caused temperature-dependent thermodynamic profile according to (6) (Table 3). The and values were negative at 10°C but positive at 5°C with 60/40 mobile phase, indicating that the retention of enantiomers was entropy-driven at 5°C and enthalpy-driven from 10 to 50°C. For enantioselective separation, positive values of and at 5°C for imazapyr , imazethapyr , imazamox , and imazaquin suggest entropy-driven (Table 4). The and of imazapic were negative at 5 to 10°C. At 10°C, imazapyr and imazaquin had positive .

Table 3: Temperature dependence of thermodynamic parameters with n-hexane (0.1%TFA)-2-propanol 60/40 (v/v) as mobile phase.

Compound
Temperature (°C)

Imazapyr
5

10

Imazapic
5

10

Imazethapyr
5

10

Imazamox
5

10

Imazaquin
5

10

Table 4: Temperature dependence of thermodynamic parameters for chiral separation with n-hexane (0.1%TFA)-2-propanol 60/40 (v/v) as mobile phase.

Compound
Temperature

(°C)

kJ mol⁻¹
J mol⁻¹ K⁻¹
kJ mol⁻¹

Imazapyr

Imazapic

Imazethapyr

Imazamox

Imazaquin

Nonlinear van’t Hoff behaviors have been observed in many studies, for example, enantioseparation of dihydropyrimidinone on Chiralcel AD column [28], and a diol compound on Chiralcel OJ column [19]. Since small analytes were used, the AD and OJ phases based on polysaccharide were concluded to undergo thermally induced conformational changes. On the other hand, nonlinear van’t Hoff plots are usually observed for polymeric analytes such as polypeptide and protein due to their interactions with nonpolar n-alkyl stationary phase in hydrophobic environments. These nonlinear van’t Hoff plots were a result of the conformational changes of analytes [12]. However, nonlinear van’t Hoff plots were also found for small analyte on a small molecule stationary phase derived from ()-N-(3,5-dinitrobenzoyl) phenylglycine. This unusual behavior was assigned to the temperature-dependent interaction of 2-propanol with the stationary phase and/or the analyte [29]. It showed thereby that the origin of the nonlinear van’t Hoff behaviors may result from conformational changes of stationary phases, analyte, or their combinations. In the case of this study, more likely, the conformation change of the OJ phase caused the nonlinear van’t Hoff plots under the low temperature [19].

3.2. Effect of Mobile Phase Composition on Thermodynamic Parameters

Changes of for both of enantiomers followed the same trend. Generally, the increased with increasing 2-propanol concentration from 15% to 40% (v/v) (Table 1). The differences of between using 15% and 40% 2-propanol concentrations were, respectively, 3.8 and 3.7 kJ mol⁻¹ for the first- and second-eluted enantiomers of imazamox , which were the smallest changes among the five compounds. The corresponding differences were 5.5 and 5.6 kJ mol⁻¹ for imazaquin , the greatest variations among the five compounds.

The overall dependence of on the 2-propanol content was different from the . The values increased with 2-propanol concentration increasing from 15 to 20%, decreased from 20 to 30%, and then increased again from 30 to 40%. The minimum values for both enantiomers were obtained with 30% 2-propanol.

The effect of 2-propanol concentration on and varied for different compounds. For example, the most negative was observed at 30% 2-propanol content for imazapic , imazethapyr , and imazamox . At 40% of 2-propanol, of imazaquin became zero, suggesting that the enantioseparation was completely entropy-driven. The decreased with increasing 2-propanol content from 15 to 30% for imazapic , imazethapyr , and imazamox and then increased with 2-propanol content raising from 30 to 40%. The most negative values of for imazapyr , imazapic , imazethapyr , and imazamox were observed at 30% 2-propanol content. Only imazaquin remained positive over the entire range of 2-propanol content tested. Regardless of the enthalpy or entropy trends, and always increased with the increasing of 2-propanol content.

O’Brien et al. [19] reported that , and of a diol compound over a temperate range of 20 to 50°C increased with increasing 2-propanol content from 30% to 45%, which is consistent with our observations for imazapyr , imazapic , imazethapyr , and imazamox over the temperature range of 15 to 50°C and the 2-propanol content range of 30 to 40%. Moreover, the dependences of , , and on 2-propanol content from 15 to 40% showed that there was a deviation at 30% 2-propanol content. It implied that the conformation of OJ phase not only changed with temperature but also likely with the mobile phase composition [30].

3.3. Enthalpy-Entropy Compensation for Retention and Enantioseparation

Existence of EEC was revealed by high (≥0.7) in linear regression between and for the temperature range of 15–50°C (Table 5). The was consistently greater for the enantiomer than the counterpart, indicating that the EEC was more significant for the enantiomer. The EEC increased with increasing 2-propanol content in the mobile phase. The best correlation () was observed for the enantiomer with 60/40 (v/v) mobile phase. The EEC temperature was within the range of −16 to 30°C for the enantiomer and 45 to 62°C for the enantiomer.

Table 5: The correlation coefficients (), compensation temperature () and in enthalpy-entropy compensation.

Mobile phases
()
(°C)

()
β (°C)

85/15

80/20

75/25

70/30

60/40

A plot of versus over the temperature range of 15–50°C yielded of 0.994 and of 0.691 (Figure 3), indicating that EEC occurred in the chiral separation. The compensation temperature was 104°C although it is beyond the regular HPLC operational temperature. At this temperature, the separation factor for the five compounds calculated from (11) would be 1.24. The plot of versus over 5–10°C was also linear illustrating EEC existence in the chiral separation (Figure 3). However, different slopes of the EEC curves confirmed different enantioseparation mechanisms. The EEC phenomenon in the enantioseparation conjoining the analogous chiral structure and the same elution order suggested that the five imidazolinone compounds possibly followed similar enantioseparation mechanism on the OJ column.

Figure 3: Enthalpy-entropy compensation plot of versus at 5–10°C and 15–50°C.

3.4. Enthalpy-Entropy Compensation in Additivity of Group Contribution

EEC associating with functional substitution in the imidazolinone homologous within 15–50°C was described as

where and represented the slope and intercept. Results of versus associated with single functionary substitution across the 85/15, 80/20, 75/25, 70/30, and 60/40 mobile phases are listed in Table 6. In the column of changes of functional group, IN indicates an introduced group, while OUT indicates a replaced group. The large indicated that EEC of group substitution for or enantiomer occurred. For example, good linear correlation relationships of versus for imazamox -imazaquin , and imazamox -imazethapyr are plotted in Figure 4. Very weak EEC appeared for enantiomers among imazapyr , imazapic , and imazethapyr , while and imazamox impressively showed the EEC interaction with all the other enantiomers.

Table 6: versus associated with various functionary substitutions using 85/15, 80/20, 75/25, 70/30, and 60/40 mobile phases.

Pairs of compound
Changes of functional group
(−)
(+)

IN/OUT
Slop

Slop

Imazapyr-imazapic
CH₃/H
134
0.727
156
0.173

Imazapyr-imazethapyr
CH₃CH₂/H
94
0.401
309
0.515

Imazapyr-imazamox
CH₃OCH₂/H
343
0.998
341
0.999

Imazapyr-imazaquin
C₄H₄/H
318
1
243
0.987

Imazapic-imazethapyr
CH₃CH₂/CH₃
−0.9
0
359
0.857

Imazapic-imazamox
CH₃OCH₂/CH₃
241
0.998
265
0.999

Imazapic-imazaquin
C₄H₄/CH₃
371
0.974
363
0.993

Imazethapyr-imazamox
CH₃OCH₂/CH₃CH₂
202
0.978
221
0.995

Imazethapyr-imazaquin
C₄H₄/CH₃CH₂
397
0.932
393
0.975

Imazamox-imazaquin
C₄H₄/CH₃OCH₂
326
1
304
0.999

Figure 4: Enthalpy-entropy compensation of group selectivity for mobile phase composition.

Results of versus in single mobile phase, for example, 85/15, across all ten functional substitutions of the homologous series are listed in Table 7. The for both and enantiomers increasing with the increase of 2-propanol concentration revealed that more obvious EEC interactions were induced by the organic modifier. Moreover, the slopes were found having good linear correlation relationships against the 2-propanol concentration, , for () and () enantiomers:

where and denote the slop and intercept. The for enantiomers () was larger than for enantiomers (). Consequently, an iso- point of and enantiomers could be calculated by

to give %. Below this concentration, EEC of the functional substitution was greater for enantiomer than and vice versa.

Table 7: Linear correlation relationship of versus in a single mobile phase across all ten functionary substitutions within the homolog.

2-propanol concentration
(−)
(+)

Slope
Intercept

Slope
Intercept

15%
0.211

0.694
0.261
0.274
0.71

20%
0.228

0.737
0.276
0.19
0.758

25%
0.243

0.775
0.285
0.133
0.805

30%
0.254

0.806
0.296
0.087
0.845

35%
0.267

0.894
0.295
0.086
0.905

The standard Gibbs energy variation causing from the functional substitution within 15–50°C also showed dependence on :

where and represented the slop and intercept. Results of linear regression according to (14) for at 303 K are listed in Table 8. The large indicated that the majority of the values, except for imazamox -imazaquin , exhibited linear dependence on the 2-propanol concentration.

Table 8: versus 2-propanol concentration in the mobile phase associated with various functionary substitutions.

Pairs of compound
Changes of functional group
(−)
(+)

IN/OUT
Slop

Slop

Imazapyr-imazapic
CH₃/H

Imazapyr-imazethapyr
CH₃CH₂/H

Imazapyr-imazamox
CH₃OCH₂/H

Imazapyr-imazaquin
C₄H₄/H

Imazapic-imazethapyr
CH₃CH₂/CH₃

Imazapic-imazamox
CH₃OCH₂/CH₃

Imazapic-imazaquin
C₄H₄/CH₃

Imazethapyr-imazamox
CH₃OCH₂/CH₃CH₂

Imazethapyr-imazaquin
C₄H₄/CH₃CH₂

Imazamox-imazaquin
C₄H₄/CH₃OCH₂

4. Conclusion

The retention of enantiomer was entropy-driven at 5°C and enthalpy-driven at 10 to 50°C. The enantioseparation of imazapyr , imazapic , imazethapyr , and imazamox was enthalpy-driven, whereas chiral separation of imazaquin was entropy-driven. Enantioseparation mechanisms were different between 5–10°C and 15–50°C, which was probably induced by the conformational change of the OJ phase. The EEC showed that the mechanisms of retention and enantioseparation for the five or enantiomers were very similar. The EEC in additivity of group contribution concurred with this observation. This study serves as a demonstration to yield useful information by utilizing distribution constant for understanding enantioseparation mechanism.

Acknowledgment

The author is indebted to Professor Jay Gan for supporting this work.

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