Daniel R Hermann1, Georg Ramer1, Markus Kitzler-Zeiler2, Bernhard Lendl1. 1. Institute of Chemical Technologies and Analytics, TU Wien, Getreidemarkt 9/164-UPA, 1060 Vienna, Austria. 2. Photonics Institute, TU Wien, Gußhausstrasse 27-29, 1040 Vienna, Austria.
Abstract
Vibrational circular dichroism (VCD) constitutes a powerful technique, enabling the determination of the absolute configuration of molecules without the need for specialized reagents. While delivering critical information, VCD signals commonly are several orders of magnitude weaker than classical absorbance signals, which so far necessitated long measurement times to achieve acceptable signal-to-noise ratios (SNRs) in VCD experiments. We present here an improved setup for the measurement of VCD in the range between 5.6 and 6.5 μm. Employing an external cavity quantum cascade laser (EC-QCL) as a high-power light source, we collected spectra with competitive noise levels in less than 5 min. The basis for this improvement was a balanced detection module combined with an optical path catered to VCD measurements. With the stabilization provided by the two-detector setup, noise originating from the laser source could be suppressed effectively. Noise level improvement up to a factor of 4 compared to the classical single detector EC-QCL-VCD could be reported. Compared to commercial Fourier transform infrared (FT-IR) instruments, the presented setup offers measurement time reductions of a factor of at least 6, with comparable noise levels. The applicability of the setup for qualitative and quantitative VCDs was proven. With the comparatively high temporal resolution provided, the monitoring of optically active processes will be possible in future applications.
Vibrational circular dichroism (VCD) constitutes a powerful technique, enabling the determination of the absolute configuration of molecules without the need for specialized reagents. While delivering critical information, VCD signals commonly are several orders of magnitude weaker than classical absorbance signals, which so far necessitated long measurement times to achieve acceptable signal-to-noise ratios (SNRs) in VCD experiments. We present here an improved setup for the measurement of VCD in the range between 5.6 and 6.5 μm. Employing an external cavity quantum cascade laser (EC-QCL) as a high-power light source, we collected spectra with competitive noise levels in less than 5 min. The basis for this improvement was a balanced detection module combined with an optical path catered to VCD measurements. With the stabilization provided by the two-detector setup, noise originating from the laser source could be suppressed effectively. Noise level improvement up to a factor of 4 compared to the classical single detector EC-QCL-VCD could be reported. Compared to commercial Fourier transform infrared (FT-IR) instruments, the presented setup offers measurement time reductions of a factor of at least 6, with comparable noise levels. The applicability of the setup for qualitative and quantitative VCDs was proven. With the comparatively high temporal resolution provided, the monitoring of optically active processes will be possible in future applications.
Vibrational circular dichroism
(VCD) is defined as the difference in absorbance for left and right
circularly polarized lights in the infrared region (IR).[1] VCD is sensitive to the absolute configuration
of chiral molecules, as well as to the structure of larger biomolecules
like proteins and nucleic acids.[1−3] It is the logical extension of
electronic circular dichroism (ECD or CD), which is the application
of chiroptical spectroscopy in the ultraviolet and visible light ranges.[4,5] While ECD has been routinely used for structural studies of proteins,
it is limited to samples containing suitable chromophores.[1,5,6] In contrast, IR, the spectral
region in which VCD operates, is rich in band characteristics for
different classes of organic molecules.[7] Due to the significant increase of accessible molecules, VCD presents
a more attractive tool for the study of chiral samples than ECD.[8,9] Indeed, VCD has been used to straightforwardly determine the absolute
configuration of small molecules and even monitor enantiomeric excess
during reaction monitoring.[3,9,10]While VCD offers obvious advantages due to its unique sensitivity
to structural differences and a broad range of accessible samples,
the collection of VCD spectra comes with significant challenges.[11−13] VCD signals are 4–6 orders of magnitude weaker than classical
absorbance, which necessitates low noise levels.[11,14] Additionally, artifacts originating from birefringence can distort
or overlap the already weak signals.[11,15] The beginning
of the VCD instrumentation lies in dispersive spectrometers, which
used longer integration times by decreasing the scanning rate to obtain
satisfactory signal-to-noise ratios. As with classical IR spectroscopy,
Fourier transform infrared (FT-IR) spectrometers have replaced dispersive
instruments for the measurement of VCD spectra.[11] FT-IR instruments (and also dispersive instruments) can
increase the signal-to-noise ratio by averaging increasing numbers
of repeated spectral scans. This decreases the noise by √n (n is the number of averaged scans) and
is well suited for modern FT-IR instruments capable of high scanning
speeds.[14] Since the noise levels necessary
for obtaining usable VCD spectra are significantly lower than for
classical absorbance measurements, the number of averaged scans and
with it the measurement time increases substantially.[14] Typical acquisition times for VCD range from ∼30
min to several hours, depending on the sample and solvent system.[16] Especially challenging are samples in aqueous
solutions since the high absorbance of water in the IR region significantly
reduces the spectral throughput.[17,18]Nearly
all modern VCD instruments are based on FT-IR technology
and employ thermal light sources like globars that for a long time
were among the only broadly available light sources in the mid-IR
region. One alternative is tunable mid-IR lasers. Here, quantum cascade
lasers (QCLs), first introduced in 1994, are especially attractive
for their high brilliance and intrinsically linearly polarized emission.[19] Modern external cavity (EC)-QCLs offer tuning
ranges of several hundreds of wavenumbers, large enough to observe
multiple vibrational modes, and are available commercially for the
whole mid-IR spectral range. Their high spectral output can be leveraged
in highly absorbing samples, increasing the usable path length and
the limit of detection.[20−22]In 2008, Lüdeke
et al. presented the first VCD spectra collected
with an EC-QCL as a light source.[23] The
acquired spectra corresponded well with the classical FT-IR VCD spectra
and proved the suitability of EC-QCLs for VCD experiments.[23] However, despite the obvious useful properties
of EC-QCLs, they also suffer from some disadvantages. Tunable QCLs
feature a structured emission spectrum, with a maximum near the middle
of the emitted spectral range and comparatively very weak spectral
power at the spectral edges. Furthermore, intensity drifts, low-frequency
noise, and, if the laser is operated in a pulsed mode, pulse-to-pulse
fluctuations add additional noise to the system. Those noise sources
are not present in classical thermal light sources.[22,24]One approach for low noise laser spectroscopy is “balanced
detection”: the laser beam is split into two beams of intensities
as similar to each other as possible, which are directed onto two
matched detectors. Only one light path contains the sample, while
both channels carry the noise present in the laser. The signals collected
from the detectors are then subtracted. This ensures that fluctuations
present in the light source are canceled, as they are present in both
channels. The signal of interest, on the other hand, is only present
in one channel.[22,24] This method was already successfully
applied in mid-infrared EC-QCL absorbance measurements of proteins
in solution, where a noise reduction by a factor of 20 compared to
single detection schemes was demonstrated.[22]In the current study, we extended the benefits of EC-QCL mid-IR
spectroscopy with balanced detection to VCD measurements. A dedicated
balanced detection scheme was implemented using two closely matched
HgCdTe (MCT) detectors and a two-path transmission cell. Employing
a photoelastic modulator (PEM), we introduced rotational sensitivity
in one path of the balanced detection system, enabling the acquisition
of EC-QCL-VCD spectra. The noise reduction provided by the application
of a balanced detection scheme was evaluated, both in comparison with
single detector schemes and with classical FT-IR VCD noise levels.
Furthermore, the practical application of the balanced detection EC-QCL-VCD
was investigated for qualitative studies as well as for enantiomeric
excess studies with the enantiomeric pair R- and S-1,1′-bi-2-naphthol
(BINOL).
Experimental Section
Reagents
CHCl3 (99.2%, stabilized with 0.6%
ethanol), (R)-(+)-1,1′-bi-2-naphthol (R-BINOL, 99%), and (S)-(−)-1,1′-bi-2-naphthol
(S-BINOL, 99%) were purchased from Sigma-Aldrich (St. Louis) and used
without further purification. For sample solutions, the appropriate
amount of pure sample was dissolved in CHCl3. Enantiomeric
excess (EE) and samples with EE values of +100%, +60%, +20%, −20%,
−60%, and −100% were prepared by mixing 100 mM R- and
S-BINOL stock solutions. EE levels are calculated aswith nA and nB referring to the molar concentration of components
A and B, respectively (here: R- and S-BINOL).[9]
Optical Setup
Briefly, the high-sensitivity VCD EC-QCL
spectroscopy setup introduces a polarization modulator into one arm
of a balanced detection scheme (see Figure ). An external cavity QCL (EC-QCL, Hedgehog,
Daylight Solutions Inc., San Diego), tunable from 1780 to 1550 cm–1, was used as a light source. The EC-QCL emits a beam
in the TEM00 spatial mode with linear polarization (vertical,
nominally > 100:1) and a spot size of around 2.5 mm (1/e2 width). Operating with a current of 540 mA, a repetition rate of
1 MHz, and a pulse length of 200 ns, the laser reached a duty cycle
of 20%. The laser head temperature was stabilized at 19 °C. Water
cooling was used to remove excess heat.
Figure 1
Optical setup used for
the balanced VCD measurements. This setup
encompasses an EC-QCL as a light source, beam splitters (BS), attenuators
(A), a telescope system to reduce the beam diameter (T), focusing
lenses (L), a photoelastic modulator (PEM), a double-path transmission
cell (Cell), temperature stabilized by a thermoelectrical cooling
(TEC) controller, and a balanced detector module.
Optical setup used for
the balanced VCD measurements. This setup
encompasses an EC-QCL as a light source, beam splitters (BS), attenuators
(A), a telescope system to reduce the beam diameter (T), focusing
lenses (L), a photoelastic modulator (PEM), a double-path transmission
cell (Cell), temperature stabilized by a thermoelectrical cooling
(TEC) controller, and a balanced detector module.A waveform generator (DG4102, RIGOL, Beijing, China)
was used to
trigger the laser. The internal clock of the waveform generator was
synchronized to the lock-in amplifier used for signal recovery (see
the Data Acquisition section). Spectra were
collected in the “sweep mode”, whereby the EC-QCL tunes
across its spectral range at a constant tuning speed without stopping.
The sweep speed was set to 640 cm–1/s. Several attenuators
were placed in the beam path before the sample to keep the intensity
reaching the detector within the detector’s dynamic range.
Attenuation was necessary, as decreasing the laser current results
in a reduced spectral range of the EC-QCL.The laser beam first
passed a beam splitter (nominal 50/50), attenuating
the beam by diverting half of the intensity onto a beam stop, and
then was redirected by a gold mirror to another beam splitter (nominal
50/50). Here, the laser beam was divided into a reference and a sample
beam (the reflected and the transmitted beams, respectively). Both
the sample and the reference beams were diverted onto gold-sputtered
BaF2 windows, wedged by 0.5° to prevent interference
from reflections. (Sputtered windows were used instead of the commonly
used metallic meshes, as the latter were found to strongly affect
the beam profile.) The attenuated reference beam was focused by a
ZnSe lens (f = 200 mm) through one cell of the double-path
transmission cell onto the reference detector. All ZnSe lenses are
sourced from Thorlabs (Newton, NJ) and AR-coated to a reflectivity
below 1% between 4.5 and 7.5 μm. Reflective focusing was avoided,
as reflections on metal surfaces show polarization-dependent bias
and can introduce artifacts in the VCD spectra.[15,25,26]The attenuated sample beam was directed
into a cage system. First,
the beam diameter was reduced by a Galilean telescope (f = 75 and −25.4 mm) to below 1 mm. Then, the beam was focused
via a ZnSe lens (f = 200 mm, identical to the reference
beam) onto the sample detector. After the cage system, the beam passed
a 42 kHz ZnSe photoelastic modulator (Hinds instrument, Hillsboro)
with a broad-band antireflection coating. The modulator was set to
a quarter-wave retardation at 6 μm. For QCLs, the output polarization
is oriented orthogonal to the gain medium layers, resulting in a vertical
linear polarized laser beam, without the need for additional components
like polarizers.[19] The stress axis of the
modulator was orientated at 45° relative to the laser polarization
direction. To further reduce interference effects at the modulation
frequency, the modulator was tilted by 15° around the vertical
axis.[27] In combination with the beam diameter
reduction by the telescope, this allowed the blockage of the reflected
beam. The now circular polarized laser light passed through the other
cell in the double-path transmission cell.The detector used
in this setup is a balanced detection module
with a manual gain regulation (Vigo System S.A., Poland). It is composed
of two thermoelectrically cooled MCT detectors with a detectivity
of 1.45 × 1010 cm Hz1/2/W (at 10.6 μm,
100 kHz). The detector elements and the corresponding electronics
were chosen to ensure that both detectors have a similar response.
This increases the efficiency of the common mode rejection in the
balance detection scheme. Both detectors are equipped with a manual
adjustable dark current compensation. The electrical gain of the reference
channel can also be adjusted manually. Both sample and reference channel
outputs are accessible via SMA connectors. Additionally, a third channel
outputs the difference between the sample and reference voltage, determined
via a differential amplifier in the detector. This additional channel
is referred to as the balanced channel.The custom-made double-path
cell comprised two 160 μm long
cells with CaF2 windows and was set to a temperature of
20 °C (±0.001 °C). The temperature was controlled by
a thermoelectrical cooling controller (Meerstetter Engineering GmbH,
Rubigen, Switzerland). The setup was encompassed in an acrylic glass
housing and constantly purged with dry air to prevent the interference
from water vapor during the spectra acquisition. For the spectra depicted
in this work, approximately 400 μL of sample solution was manually
injected and 700 spectra were averaged. This resulted in a total measurement
time of 290 s (4 min 50 s). The classical absorbance spectra as well
as the VCD spectra were baseline-corrected with the pure solvent measured
under the same conditions.
Data Acquisition
A lock-in amplifier (MFLI, Zurich
Instruments, with F5M and MD extensions) was used to extract the phase-sensitive
information from the detector signals. As mentioned, the laser pulsing
scheme was controlled by a waveform generator, which was kept at a
constant phase to the MFLI via a 10 MHz sync connection. Using the
lock-in, the intensity I, which corresponds to the
intensity of the laser after the sample, is recovered from the 1 MHz
component of the detector output. The ΔIL–R signal is the amplitude of the detector signal at
the PEM modulation frequency fPEM, which
carries the chiroptical information. The PEM outputs a rectangular
pulse at fPEM. By feeding this signal
to a phase-locked loop (PLL) of the lock-in amplifier, the phase and
frequency of the PEM are determined and used to demodulate ΔIL–R.It is important to keep in
mind that in the balanced detection setup, not only ΔIL–R but also I can be
positive and negative; thus, for all signals, phase-sensitive detection
is required. The correct phases were set when starting the experiment
and were found to not require adjustment later. During the measurements,
the I and ΔIL–R components of the balanced output as well as the I of the reference detector output were collected. The general equation
for calculating the VCD spectra iswith J1 being
the first-order Bessel function and δPEM being the
maximum retardation of the PEM.[7] For the
single channel configuration, the ΔIL–R and I components are extracted from the sample
channel detector signal and inserted into eq . For the balanced configuration, ΔIL–R and I are extracted
from the balanced channel output. At the beginning of a measurement
day, the I component of the reference output is recorded.
For each spectrum, the stored I is then added to
the I component of the balanced output. The sum of
balanced I and reference I is then
used in eq to calculate
the VCD spectrum. The ΔIL–R recorded from the balanced channel does not require a correction
by a reference.The sampling rate of the lock-in amplifier was
set to 6696 Sa/s.
For each wavenumber, 10 data points were collected, resulting in a
total of 2300 data points per spectrum. All signals were demodulated
using a fourth-order digital low pass filter (resulting in a filter
roll-off of 24 dB/oct) and, in this case, a time constant of 745.8
μs (corresponding to 3 dB attenuation at 92.8 Hz). The time
constant was chosen relative to the scanning frequency of the laser.Before further evaluation, the spectra were low-pass-filtered using
a finite impulse response (FIR) digital filter (Kaiser window, cutoff
of 220 Hz). The wavenumber axis was calibrated using the positions
of water vapor bands. By comparing the bandwidth of water vapor spectra
collected with the setup to FT-IR spectra at different resolutions,
a spectral resolution of 1.6 cm–1 was estimated.
Partial Least-Squares Analysis
Multivariate data analysis
was performed in Python 3 using the scikit-learn package,[28,29] implemented based on in-house written scripts. No preprocessing
was applied to the baseline-corrected enantiomeric excess VCD spectra,
and a leave-one-out cross-validation method was applied. A partial
least-squares (PLS) regression was constructed, with the enantiomeric
excess levels and the baseline-corrected VCD spectra being used as
response and independent variables, respectively. Since the data set
was quite small (n = 18, 6 levels in 3 replicates),
this method was appropriate. The chosen spectral range was optimized
from 1653 to 1561 cm–1 based on the root-mean-square
error of the cross-validation (RMSECV). The model was built with two
latent variables chosen based on the optimal RMSECV while avoiding
overfitting. Besides cross-validation, external validation was performed
with five samples (EE levels: −100%, −60%, −20%,
0%, +20%) prepared with different stock solutions and measured on
a different day.
Results and Discussion
Applicability for VCD
In Figure , the absorbance and VCD spectra of 100 mM
R- and S-BINOL in CHCl3 are shown. The absorbance and VCD
spectra were baseline-corrected with the pure solvent. As expected,
no difference between the absorbance spectra of the two enantiomers
is observed, whereas their VCD spectra show a clear mirror image relation.
The position and orientation of the bands in the VCD spectrum match
those from the literature recorded using conventional FT-IR VCD instrumentation
well.[30,31]
Figure 2
Absorbance (left axis) and VCD (right axis)
of R-BINOL (blue) and
S-BINOL (red) in CHCl3. The samples were measured at a
concentration of 0.1 M with a path length of 160 μm. 700 scans
were averaged, corresponding to a 290 s integration time.
Absorbance (left axis) and VCD (right axis)
of R-BINOL (blue) and
S-BINOL (red) in CHCl3. The samples were measured at a
concentration of 0.1 M with a path length of 160 μm. 700 scans
were averaged, corresponding to a 290 s integration time.
Balanced Detection for VCD Noise Reduction
The noise
in single detector and balanced detection was evaluated as the difference
between two subsequent VCD spectra of the solvent (CHCl3). Ideally, the result should be a zero line.[17,21] Examples of these noise spectra are shown in Figure B. The potential for improving noise levels
through the averaging of scans was evaluated for both single detector
and balanced detection. Up to 1500 scans were averaged before calculating
the RMS noise levels between 1600 and 1730 cm–1.
In Figure A, the average
RMS value of five replicates is plotted against the number of averaged
scans.
Figure 3
(A) RMS noise level in the single detector configuration and the
balanced detector configuration. The RMS noise level (average of five
measurements) of the VCD spectra for each configuration is plotted
as a function of integration time and number of scans used for averaging.
The error bars correspond to the standard deviation between the measurements.
(B) Typical noise spectra for VCD spectra of CHCl3 obtained
after averaging 1500 spectra for single or balanced detector configuration.
The RMS noise value for each configuration is also shown.
(A) RMS noise level in the single detector configuration and the
balanced detector configuration. The RMS noise level (average of five
measurements) of the VCD spectra for each configuration is plotted
as a function of integration time and number of scans used for averaging.
The error bars correspond to the standard deviation between the measurements.
(B) Typical noise spectra for VCD spectra of CHCl3 obtained
after averaging 1500 spectra for single or balanced detector configuration.
The RMS noise value for each configuration is also shown.The performance of the balanced detection scheme
is better than
that of the standard single detector method, with a noise reduction
by a factor of around 3.7. As this reduction shows promise, the improvement
is not as large as we expected from comparable works with classical
IR absorbance.[22] A probable explanation
for smaller improvement is the normalization inherent to VCD spectra.
To obtain raw VCD spectra, the signal collected at the PEM frequency
is divided by the one collected at the laser frequency. Through this
process, parts of the pulse-to-pulse fluctuations are compensated
regardless of the detector configuration. Nevertheless, the data presented
still show improvement in the noise levels by the application of balanced
detection as well as an increased repeatability of the spectra. This
is shown by the reduced deviations (error bars) between the replicates
for the balanced detection scheme when compared to those for the single
detector scheme.The superior performance of the balanced detection
scheme also
becomes apparent in the spectra shown in Figure B. Here, typical VCD noise spectra for the
single and the balanced detection setup are overlaid. The baseline
produced by the balanced detection stays around zero for the whole
spectral range, with no clear peaks visible. In comparison, the baseline
obtained from the single detector scheme deviates considerably from
the zero line. When comparing the baselines to the peaks depicted
in Figures and 4A, this improvement can be contextualized. Especially
for lower EE values, the peaks are in the range of the noise floor
of the single detector baseline. This would hinder a correct interpretation
of the spectra, necessitating longer measurement times to decrease
the noise to sufficient levels.
Figure 4
(A) VCD spectra obtained by measuring
different levels of enantiomeric
excess. For the corresponding enantiomeric excess level, the reader
is referred to the depicted color bar. The concentration of BINOL
was 100 mM in a cell with a path length of 160 μm, and 700 spectra
were averaged. (B) Linear correlation of the predicted enantiomeric
excess values (cross-validated) and the volumetric enantiomeric excess
of the prepared samples. The obtained fit is plotted in red, with
the corresponding R2 being depicted beside
the graph. The blue line indicates a perfect correlation.
(A) VCD spectra obtained by measuring
different levels of enantiomeric
excess. For the corresponding enantiomeric excess level, the reader
is referred to the depicted color bar. The concentration of BINOL
was 100 mM in a cell with a path length of 160 μm, and 700 spectra
were averaged. (B) Linear correlation of the predicted enantiomeric
excess values (cross-validated) and the volumetric enantiomeric excess
of the prepared samples. The obtained fit is plotted in red, with
the corresponding R2 being depicted beside
the graph. The blue line indicates a perfect correlation.Biological samples, due to their inherent chirality
and structural
orientation, present themselves as obvious analytes for VCD studies.
However, proteins, for example, seldom exhibit VCD signals more intense
than 2 × 10–5.[18,32] For these
samples, the reduced noise of the balanced detection setup is an obvious
advantage. Protein spectra typically take several hours to collect
with classical FT-IR spectrometers. A single detector scheme would
need a significantly longer measurement time than the balanced detection
setup and offer less improvement compared to FT-IR spectra.In addition to the graphs in Figure , the overall noise performance is summarized in Table . All shown values
are calculated between 1730 and 1600 cm–1 for spectra
collected by averaging 1500 scans (10 min measurements). The values
for the FT-IR performance are taken from the literature. As already
mentioned, the RMS noise values for the balanced detection are around
3.7 times lower than for single detector setup, being 1.45 ×
10–6 compared to 5.45 × 10–6. The available FT-IR data are collected with 3 times longer averaging
times and reach RMS noise levels of 2.8 × 10–6.[33] For balanced operation, the EC-QCL-based
setup reached a noise level nearly 2 times better in a third of the
measurement time. Besides the RMS noise, the noise height is also
a relevant noise parameter for VCD spectra. The relevant chapter ⟨1782⟩
of the U.S. pharmacopeia defines it as the maximum deviation from
the zero line over the spectral range of interest.[34] This value was also calculated and is shown in Table . The noise height
for the balanced detection system is almost 4 times lower than for
a single detector system, with 3.83 × 10–6 and
15.2 × 10–6, respectively. The available FT-IR
data were collected after 60 min of averaging and deviated from zero
by 5 × 10–5, 13 times higher than the deviation
achieved for the balanced detection setup.
Table 1
Noise Characteristics for the Single
Detector Scheme, the Balanced Detection Scheme, and Values for FT-IR
Spectrometer from the Literature
RMS noise[10-6 ΔAU]
time [min]
noise height [10-6 ΔAU]
time [min]
single
5.45
10
15.2
10
balanced
1.46
10
3.83
10
FT-IR[33,34]
2.8
30
50
60
Besides lower noise levels and shorter measurement
times, our EC-QCL-based
setup also offers a higher spectral resolution. Typical FT-IR VCD
spectra are collected at resolutions between 4 and 8 cm–1, while our data were presented at a resolution of 1.6 cm–1.
Enantiomeric Excess Studies
In addition to studying
the spectrum of enantiomers, VCD also allows the quantification of
enantiomeric excess. This application is more challenging as the bands
in VCD spectra of mixed enantiomers are lower than in enantiopure
samples. Solutions with different levels of enantiomeric excess were
prepared and measured in triplicate. The EE levels were varied from
+100 to −100 in steps of 40 %. The resulting spectra are shown
in Figure A. With
decreasing enantiomeric excess levels, the VCD couplets centered at
1619 and 1596 cm–1, respectively, changed their
orientation. The negative couplets (negative VCD intensity at the
higher wavenumber, positive intensity at lower wavenumber) characteristic
of R-BINOL decrease in intensity and evolve into the positive couplets
expected from S-BINOL. The intensity and orientation of the couplet
centered at 1596 cm–1 were used to describe the
enantiomeric excess in a univariate linear model. The resulting correlation
line can be found in the Supporting Information (see Figure S4). The r2 of 0.997 indicates
a high correlation, and the p-value of the slope
(p = 3.3 × 10–6) attests the
significance of the correlation. The limit of detection (LOD) for
the EE was calculated according towhere RMS noise stands for the root-mean-square
(RMS) noise, and slope stands for the slope of the calibration curve.[22] The obtained value was 10.5 % EE. Taking the
used total (R- + S-BINOL) concentration of 100 mM into account, this
corresponds to a concentration difference of 5.25 mM between the enantiomers.The use of a multivariate method such as partial least-squares
regression (PLSr) could help to further improve this value, as these
methods are less susceptible to noise over a few wavenumbers. To test
this, a PLSr model was constructed based on the spectra shown in Figure A. The predictions
obtained from this model can be seen in Figure B. The predicted (cross-validated) and actual
volumetric enantiomeric excess levels show a high correlation with
an R2 of 0.991. The R2 of the calibration model was 0.996, and the root-mean-square
error (RMSE) was 4.31 % EE. Further statistical parameters can be
seen in Table .
Table 2
Statistical Parameters for the PLS
Model Constructed Based on the Enantiomeric Excess Study
R2
RMSE
[%]
calibrationa
0.996
4.31
cross-validationb
0.991
6.64
predictionc
0.964
8.16
Full data set (6 levels, 3 replicates
= 18 data points).
Leave-one-out
cross-validation.
Five unrelated
samples (EE: −100
to +20). RMSE: root-mean-square error.
Full data set (6 levels, 3 replicates
= 18 data points).Leave-one-out
cross-validation.Five unrelated
samples (EE: −100
to +20). RMSE: root-mean-square error.To validate the performance of the model, a leave-one-out
cross-validation
was performed. Due to the small sample size, this approach is appropriate.
The cross-validation showed an R2 of 0.991
and a slightly higher RMSE of 6.64 % EE than for the calibration.
Since the calculation of the LOD for the multivariate method is not
as straightforward as for univariate models, the RMSE of the cross-validation
was taken as a measure of accuracy.[35] This
value corresponds to a concentration difference of 3.32 mM in our
case. To further evaluate the applicability of the model, external
validation was performed with five samples prepared and measured on
a different day. The obtained R2 of 0.964
indicates a still high correlation, and an RMSE of 8.16 % is comparable
to the RMSE of the cross-validation. This indicates a robust model,
without the presence of overfitting.Enantiomeric excess prediction
by VCD was already studied, with
great success on FT-IR instruments. While these studies achieved better
RMSECV than the one we performed in these experiments, this comparison
needs to be contextualized[3,9,36] Since the studies were performed with substantially different concentration
ranges, the RMSECVs were normalized to the molar concentration. The
resulting detectable molar differences attested to our setup a performance
comparable to or better than most published results, with measurement
times reduced by a factor of 4.[3,9] Only one study achieved
a better sensitivity, which was enabled by a measurement time longer
by a factor of 120.[36] Based on these data,
the advantages provided by balanced detection EC-QCL-VCD enabled enantiomeric
excess studies with comparatively low concentrations (100 mM) and
low VCD signals while still providing a high temporal resolution.
This can extend the applicability of VCD to samples where only low
concentrations are accessible and which are characterized by low VCD
signals without losing temporal resolution. The accuracy and robustness
of the model could be improved by measuring additional sample points,
applying longer measurement times, and evaluating different concentration
ranges. However, this is beyond the scope of this study.
Conclusions
We presented an improved method to measure
EC-QCL-based VCD spectra.
The combination of an EC-QCL and a balanced detection module used
in the study enables the leveraging of the high brilliance of EC-QCLs
without introducing additional noise into the spectra. Relevant noise
parameters were improved by up to a factor of 4 compared to single
detector measurements. The applicability for VCD measurements was
examined with qualitative and quantitative experiments using R- and
S-BINOL as model substances. Enantiomeric excess studies were possible
with measurement times below 5 min for samples with low molar concentrations.
The noise levels are significantly lower than for commercial FT-IR
instruments even at acquisition times shorter by a factor of up to
6.Of course, this comparison needs to be contextualized by
the strengths
and weaknesses of FT-IR and EC-QCLs, respectively. FT-IR instruments
offer a broad coverage (up to several thousand wavenumbers) with a
constant noise floor over this range while being restricted in terms
of sensitivity by the relatively weak light source. EC-QCLs, on the
other hand, provide a comparatively limited spectral coverage (several
hundred wavenumbers) and are characterized by a higher noise level
at the edges of their spectral emission but can leverage their high
intensity to minimize limits of detections even with strongly absorbing
solvents. Due to these differences, the perfect technique depends
mostly on the envisioned application. FT-VCD has an edge when dealing
with the absolute configuration determination or complex sample mixtures
with multiple bands over a broad spectral area. EC-QCL-VCD, on the
other hand, can excel in applications like EE determination or also
with biomolecules like proteins in an aqueous solution. For these
applications, a smaller spectral area is perfectly sufficient, and
the higher sensitivity provided by the EC-QCL can prove to be advantageous
here.Employing a dedicated balanced detection scheme for VCD
measurements
enables the collection of low noise spectra with a high temporal and
spectral resolution when compared to state-of-the-art FT-IR VCD instruments.
This allows a comprehensive monitoring of processes where the chirality
of the sample changes over time, like folding mechanisms of biological
molecules. Indeed, our previous work on EC-QCL suggests that the high
spectral power density of the laser will provide further gains in
sensitivity over FT-IR when analyzing samples in aqueous solutions.[22]
Authors: Christopher K Akhgar; Georg Ramer; Mateusz Żbik; Artur Trajnerowicz; Jarosław Pawluczyk; Andreas Schwaighofer; Bernhard Lendl Journal: Anal Chem Date: 2020-07-13 Impact factor: 6.986