2.1. Racemic Mixtures
The studies concerned nineteen racemic mixtures differing in the oligomethylene chain's length and the benzene ring's substituents, see
Figure 2.
Depending on the number of methylene groups and the substitution of the benzene ring, each mixture was given an appropriate acronym (
Table 1). These mixtures were synthesized as shown in Refs. [
38,
39]. The studied racemates were prepared by treating (R,S) 4′-(1-methylheptyloxycarbonyl)biphenol with benzoic acid chloride. The efficient preparation of achiral biphenol was described in Ref. [
40]. The commercially available (R,S)-2-octanol with a purity of 99.5% was used. The studied racemates are liquid crystals with smectic phases (SmC
A and/or SmC and/or SmA).
The initial stage of preparing samples for analysis was weighing approximately 1.5 mg of each racemic mixture. The next step in sample preparation was to dissolve each weighed sample in 2.5 mL acetonitrile. The next part of the analysis was selecting the optimal parameters for separating racemic mixtures into enantiomers. For this purpose, the following changes were made during the studies:
- chromatographic columns,
- volume ratio of solvents,
- flow rate of the mobile phase,
- the type of elution.
Samples of non-equimolar mixtures - (R,S) + (S) or (R,S) + (R) were also prepared to determine the elution order. Approximately 1.5 mg of the sample was weighed and dissolved in 2.5 mL acetonitrile.
2.3. ReproSil Chiral-MIG Column
All studied racemic mixtures were separated using the isocratic elution (
Table 2) and the gradient elution (
Table 3).
In the acetonitrile-water solvent system, with a volume ratio of 99:1, mixtures 2.(HF) (R,S) (
Figure 4a) and 3.(FF) (R,S) were not separated. The mixtures 2.(HH) (R,S) (
Figure 4b), 2.(FH) (R,S), 3.(HH) (R,S), 3.(HF) (R,S), 3.(FH) (R,S), 5.(FH) (R,S), 5.(FF) (R,S), 6.(FH) (R,S), 6.(FF) (R,S), 7.(FH) (R,S) and 7.(FF) (R,S) were partially separated, and all remaining mixtures were baseline-separated - Rs>1.5 (
Figure 4c).
All chromatographic parameters were calculated using the equations presented in Ref. [
41]. The most crucial thing in HPLC is to obtain the optimum resolution in the minimum time. A resolution value of 1.5 or greater between two peaks will ensure that the sample components are well (baseline) separated to a degree at which the area or height of each peak may be accurately measured.
Figure 5 summarizes the resolution parameter values for the analyzed racemic mixtures. The highest value of this parameter was achieved by mixture 7.(HH) (R,S). It can also be noticed that mixtures with two hydrogen atoms at the benzene ring have higher resolution values than those with other substitutions. The lowest values of the resolution parameter were obtained for mixtures with two fluorine atoms on the benzene ring.
Figure 6 shows the retention times of the analyzed racemic mixtures. The mixtures with the highest resolution values showed the longest retention times. Retention times were increased with the length of the oligomethylene chain.
Analysis of racemic mixtures in non-equimolar ratios allowed the determination of the elution order of the enantiomers. The (S) enantiomer was first eluted in all mixtures, as shown in
Figure 7 for the mixture 6.(FH) (R,S) + (S).
In the
Supplementary Materials,
Figure S1 summarizes the values of the number of theoretical plates for the racemic mixtures that have been baseline-separated. The plate number (N) measures the HPLC column's peak dispersion, reflecting the column performance. Therefore, the more theoretical plates available within the column, the more equilibrations are possible and the better the quality of the separation (the column with a high number of plates gives narrower, more efficient peaks). Among the analyzed mixtures, the highest ability to produce narrow peaks was demonstrated by mixture 6.(HF) (R,S) (
Figure S2), and the mixture 6.(HH) (R,S) had the lowest ability (
Figure S3).
Figure S4 summarizes the values of the selectivity parameter – α, i.e., the ability of a chromatographic system to "chemically" distinguish between sample components. The mixtures that separated and had the largest difference in retention times showed the highest selectivity value. The value of this parameter for mixtures that have not separated is 1. As the selectivity of the separation depends upon the chemistry of the analyte, mobile, and stationary phases, all of these factors may be altered to change or optimize the selectivity of the HPLC separation.
In the acetonitrile-water solvent system, with a volume ratio of 95:5, the mixture 3.(FF) (R,S) was not separated (see
Figure S5 in the
Supplementary Materials). The mixtures 2.(HF) (R,S) (see
Figure S6), 3.(FH) (R,S) and 6.(FF) (R,S) were partially separated. The remaining mixtures were baseline-separated (see
Figure S7). This system showed higher values of chromatographic parameters than the system with a volume ratio of 99:1. One mixture did not separate, while most of the racemic mixtures were baseline-separated.
Figure 8 summarizes the analyzed racemic mixtures' resolution parameter (Rs) values. As in the previous system, the highest value of this parameter was achieved by the mixture 7.(HH) (R,S). In this volume system, one can also notice the relationship that mixtures with two hydrogen atoms on the benzene ring have higher parameter values than other types of substitutions. The lowest values of the resolution parameter were obtained for mixtures with hydrogen and fluorine atoms at the benzene ring.
Figure 9 shows the retention times of the analyzed racemic mixtures. As in the previous system, the mixtures with the highest resolution values showed the longest retention times. Retention times were increased with the length of the oligomethylene chain.
Figure 8.
The resolution data obtained for the studied racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (95:5 v/v).
Figure 8.
The resolution data obtained for the studied racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (95:5 v/v).
Figure 9.
The retention times of the racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (95:5 v/v).
Figure 9.
The retention times of the racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (95:5 v/v).
Figure S8 (in
Supplementary Materials) summarizes the values of the number of theoretical plates for the racemic mixtures that have been baseline-separated. The highest ability to produce narrow peaks was demonstrated by mixture 3.(HH) (R,S) (
Figure S9), and the lowest by mixture 7.(HH) (R,S) (
Figure S10).
Figure S11 summarizes the values of the selectivity parameter - α in the isocratic elution in a volume ratio of 95:5. The mixtures that separated and had the largest difference in retention times showed the highest selectivity value.
All racemic mixtures were separated in the acetonitrile-water solvent system in a volume ratio of 90:10. The mixtures 3.(HH) (R,S), 3.(FF) (R,S) and 5.(FH) (R,S) were partially separated. The remaining mixtures were baseline-separated. This system showed the highest values of chromatographic parameters of all three systems in the isocratic elution (
Figure 10,
Figures S12 and S13).
Figure 10 summarizes the analyzed racemic mixtures' resolution parameter (Rs) values. Unlike the previous systems, the highest value of this parameter was achieved by mixture 6.(HH) (R,S). This system cannot be assigned a relationship that would characterize each type of benzene ring substitution. The highest resolution values are obtained for the mixtures with two hydrogen atoms on the benzene ring and those with hydrogen and fluorine atoms on the ring.
Figure 11 shows the retention times of the analyzed racemic mixtures. As in the previous systems, the mixtures with the highest resolution values showed the longest retention times. Retention times were similar for most mixtures; only mixtures with six or seven methylene groups showed longer retention times.
Figure 10.
The resolution data obtained for the studied racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (90:10 v/v).
Figure 10.
The resolution data obtained for the studied racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (90:10 v/v).
Figure 11.
The retention times of the racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (90:10 v/v).
Figure 11.
The retention times of the racemic mixtures on the MIG column in the isocratic elution, ACN/H2O (90:10 v/v).
Figure S12 (in the
Supplementary Materials) summarizes the values of the number of theoretical plates for the racemic mixtures that have been baseline-separated in a 90:10 volume system. The mixture 5.(HH) (R,S) had the highest ability to produce narrow peaks, while the lowest, as in the previous system, was 7.(HH) (R,S) (see
Figure S13).
Figure S14 summarizes the values of the selectivity parameter - α in the isocratic elution in a volume ratio of 90:10. Mixture 6.(HH) (R,S) achieved the highest selectivity value, and mixture 3.(FF) (R,S) the lowest.
In the decreasing gradient, the mixtures 2.(HF) (R,S) and 3.(FF) (R,S) were not separated. The mixtures 2.(HH) (R,S), 2.(FH) (R,S), 3.(HH) (R,S), 3.(HF) (R,S), 3.(FH) (R,S), 5.(FH) (R,S), 5.(FF) (R,S), 6.(FH) (R,S), 6.( FF) (R,S), 7.(FH) (R,S) and 7.(FF) (R,S) were partially separated. The remaining mixtures were baseline-separated. This system showed much lower values of chromatographic parameters than previous isocratic elution systems. Most racemic mixtures did not separate or partially separate.
Figure 12 summarizes the resolution parameter (Rs) values of the analyzed racemic mixtures in the gradient elution. Much lower resolution values characterize this system; only six racemic mixtures were baseline-separated out of seventeen separated mixtures. The highest resolution values for the mixtures with two hydrogen atoms on the benzene ring were found.
Figure 13 shows the retention times of the analyzed racemic mixtures in the decreasing gradient. As in the previous systems, the mixtures with the highest resolution values showed the longest retention times. As the oligomethylene chain lengthened, the retention times of the mixtures gradually increased, but this value was insignificant.
Figure S15 in the
Supplementary Materials summarizes the values of the number of theoretical plates for the racemic mixtures baseline-separated in the decreasing gradient. The mixture 5.(HH) (R,S) (
Figure S16) had the highest ability to produce narrow peaks, while the lowest was mixture 6.(HF) (R,S) (
Figure S17).
Figure S18 summarizes the values of the selectivity parameter in the decreasing gradient. The mixture 7.(HF) (R,S) achieved the highest selectivity value, and the mixtures 2.(HF) (R,S) and 3.(FF) (R,S) the lowest.
In the increasing-decreasing gradient, all racemic mixtures were separated. Mixtures 3.(FF) (R,S) and 7.(HF) (R,S) were partially separated. The remaining mixtures were baseline-separated. This system showed much higher values of chromatographic parameters than the decreasing gradient. It also had much higher parameter values than all other systems in the isocratic elution (see
Figure 14,
Figure 15 and
Figure 16).
The mixture 6.(FH) (R,S) had the highest ability to produce narrow peaks, while the lowest was mixture 7.(HH) (R,S) (Figure 60). The mixture 5.(HF) (R,S) achieved the highest selectivity value, and the mixture 3.(FF) (R,S) the lowest.
Figure 17 shows the retention times of the analyzed racemic mixtures in the increasing-decreasing gradient. As in the previous systems, the mixtures with the highest resolution values showed the longest retention times. The longest retention times were found for the racemic mixtures having two hydrogen atoms on the benzene ring.
Figure 18(a-e) shows chromatograms for the mixture 6.(HH) (R,S), in which each system is baseline-separated. In the isocratic elution, as the concentration of acetonitrile in the solvent system decreased, the retention time of the peaks increased. The highest resolution was obtained in the acetonitrile-water system in a volume ratio of 95:5 and the lowest in a volume ratio of 90:10. In the gradient elution, much lower parameters were obtained for the decreasing gradient, which had the lowest values among all systems, and for the increasing-decreasing gradient, the best results among the remaining four were obtained for the ReproSil Chiral-MIG column.
2.4. ReproSil Chiral-MIC Column
The second chiral column on which the separation of racemic mixtures was continued was the ReproSil Chiral-MIC column. All previously prepared racemic mixtures were separated using the isocratic and the gradient elution. The same analysis parameters were used for the MIC column (as shown in
Table 2 and
Table 3), except that the flow rate for the ACN/H
2O (99:1 v/v) system was reduced to 0.5 mL min
-1 and for the ACN/H
2O (95:5 v/v) and (90:10 v/v) up to 0.3 mL·min
-1.
Analysis of racemic mixtures in non-equimolar ratios allowed the determination of the elution order of the enantiomers. Unlike the ReproSil Chiral-MIG column, the (R) enantiomer was the first to elute during the analysis of the racemic mixtures on the ReproSil Chiral-MIC column (
Figure 19).
On the MIC column, none of the mixtures were baseline-separated regardless of the elution used, and the best results (partial separation of several mixtures) were obtained for the ACN/H
2O (90:10 v/v) system. The comparison of the resolution parameter for both columns and the conditions indicated above is summarized in
Table 4 and visualized in
Figure 20.
In each case, we have a higher resolution on the amylose column; even reducing the flow rate on the cellulose column did not significantly improve the resolution. The highest resolution (over 6) was obtained for the mixture 6.(HH) (R,S) on the MIG column.
The selectivity parameter for these two columns was also compared, as shown in
Figure 21. On the MIC column, this value exceeds at least one; on the MiG column, it is always higher, and in the case of the mixture 6.(HH) (R,S), it exceeds the value of 2.5. Altering the system selectivity provides an excellent means of optimizing the chromatographic resolution, as small changes in selectivity can lead to large changes in resolution.
Figure 22(a-e) shows chromatograms for the mixture 7.(HF) (R,S), which separated best in all five systems considered on the MIC column. In the isocratic elution, as the concentration of acetonitrile in the solvent system decreased, the retention time of the peaks increased. The highest resolution was obtained in the acetonitrile-water system in a volume ratio of 90:10 and the lowest in a volume ratio of 95:5. In gradient elution, much lower parameters were obtained for the increasing-decreasing gradient, which showed similar parameter values to the isocratic system in a volume ratio of 95:5.
In the
Supplementary Materials,
Figures S18-S42 show the resolution, corresponding chromatograms, retention times, and selectivity for the MIC column in all elution types for all racemic mixtures. The number of theoretical plates was not counted because baseline separation was not observed for any mixture.
Figure 22.
Chromatograms of the racemic mixture 7.(HF) (R,S) obtained on the MIC column in ACN-H2O solvent systems: a) in a volume ratio of 99:1; b) in a volume ratio of 95:5; c) in a volume ratio of 90:10; d) in the decreasing gradient; e) in the increasing-decreasing gradient.
Figure 22.
Chromatograms of the racemic mixture 7.(HF) (R,S) obtained on the MIC column in ACN-H2O solvent systems: a) in a volume ratio of 99:1; b) in a volume ratio of 95:5; c) in a volume ratio of 90:10; d) in the decreasing gradient; e) in the increasing-decreasing gradient.