We study the molecular properties of aqueous acetic acid and formic acid solutions with heterodyne-detected vibrational sum-frequency generation spectroscopy (HD-VSFG). For acid concentrations up to ∼5 M, we observe a strong increase of the responses of the acid hydroxyl and carbonyl stretch vibrations with increasing acid concentration due to an increase of the surface coverage by the acid molecules. At acid concentrations >5 M we observe first a saturation of these responses and then a decrease. For pure carboxylic acids we even observe a change of sign of the Im[χ(2)] response of the carbonyl vibration. The decrease of the response of the hydroxyl vibration and the decrease and sign change of the response of the carbonyl vibration indicate the formation of cyclic dimers, which only show a quadrupolar bulk response in the HD-VSFG spectrum because of their antiparallel conformation. We also find evidence for the presence of a quadrupolar response of the CH vibrations of the acid molecules.
We study the molecular properties of aqueous acetic acid and formic acid solutions with heterodyne-detected vibrational sum-frequency generation spectroscopy (HD-VSFG). For acid concentrations up to ∼5 M, we observe a strong increase of the responses of the acid hydroxyl and carbonyl stretch vibrations with increasing acid concentration due to an increase of the surface coverage by the acid molecules. At acid concentrations >5 M we observe first a saturation of these responses and then a decrease. For pure carboxylic acids we even observe a change of sign of the Im[χ(2)] response of the carbonyl vibration. The decrease of the response of the hydroxyl vibration and the decrease and sign change of the response of the carbonyl vibration indicate the formation of cyclic dimers, which only show a quadrupolar bulk response in the HD-VSFG spectrum because of their antiparallel conformation. We also find evidence for the presence of a quadrupolar response of the CH vibrations of the acid molecules.
Carboxylic
acids have attracted significant attention in atmospheric
chemistry in the past decades, as they are the most abundant oxygenated
compounds in the atmosphere and form a major contributor to free acidity
in precipitation.[1,2] Interactions of atmospheric inorganic
and organic species, including carboxylic acids, play a major role
in many environmental processes and are thus important in the study
of climate change. Furthermore, carboxylic acids are also commonly
associated with atmospheric corrosion of metal surfaces. Within the
corrosion process corrosive gases like formic acid (FA) and acetic
acid (AA) penetrate a thin layer of water that covers the metal and
subsequently oxidize and damage the metal.[3,4] Therefore,
the understanding of chemical processes at surfaces as the adsorption
behavior of carboxylic acids is of great importance to atmospheric
and surface chemistry.[5] Beside surface
tension measurements,[6] atomic force microscopy
(AFM),[7] surface-enhanced Raman scattering
(SERS),[8] and X-ray photoelectron spectroscopy
(XPS),[5] vibrational sum-frequency generation
spectroscopy (VSFG) is a powerful tool as a probe for microscopic
structures at interfaces.[9,10] VSFG is highly surface
sensitive and surface selective because VSFG is based on the second-order
polarization of the system, which is prohibited in centrosymmetric
media and therefore in most bulk phases. Recently, many studies challenged
this basic understanding of VSFG and demonstrated that sum-frequency
light can also be generated by a bulk quadrupolar response.[10−14] Clearly, the presence of such a response influences the surface
selectivity and interpretation of VSFG spectra.[10,13,14] Previous intensity VSFG measurements of
aqueous FA and AA show that the vibrational responses of the CH, OH,
and C=O vibrations of acid molecules at the surface can already
be observed at low concentrations (0.3 mol %).[15−17] These studies
also reported that these spectral responses change in shape upon increasing
the concentration, which was explained from the formation of complexes
of acid molecules, such as the hydrated monomer, the linear dimer,
and the cyclic dimer. Here, we investigate the properties of FA and
AA molecules at the surface of aqueous solutions with heterodyne detected
vibrational sum-frequency generation (HD-VSFG). The signal measured
with this technique is directly proportional to the complex second-order
susceptibility χ(2), whereas the signal probed in
intensity VSFG is proportional to |χ(2)|2. As a result, HD-VSFG provides unique information about the orientation
of the molecular groups of the acid molecules at different concentrations
and, as the signal is proportional to χ(2) instead
of |χ(2)|2, HD-VSFG enables the detection
of low-concentration species that in intensity VSFG measurements are
overwhelmed by the response of the dominant species. By varying the
acid concentration, we demonstrate the presence of both a surface
dipolar contribution and a bulk quadrupolar contribution to the responses
of the C=O and CH vibrations.
Experimental Methods
In the following we describe briefly our implementation of HD-VSFG.
A more detailed description of the technique can be found in previous
publications.[18−21] We use an amplified Ti:sapphire laser system (1 kHz, 35 fs, 6.5
mJ/pulse) to generate a narrow 800 nm beam and a tunable, broadband
mid-infrared beam. The two beams are spatially and temporally overlapped
at the surface of a gold mirror to generate light at the sum-frequency
that serves as a local oscillator (LO-SFG). Before the 800 nm beam
(s-polarized), the IR beam (p-polarized), and the LO-SFG signal (s-polarized)
are focused on the sample surface, the LO-SFG signal is sent through
a silica plate to delay it in time (∼1.6 ps). The 800 nm and
IR beams generate a second SFG signal at the sample surface. The SFG
signal of the sample and the LO-SFG signal are sent into a spectrograph
and frequency-resolved detected with a thermoelectrically cooled charged-coupled
device (CCD, Princeton Instruments). From the interference spectrum
of the two SFG signals the real (Re) and imaginary (Im) χ(2) spectra are extracted, providing direct information about
the orientation of the vibrational transition dipole moments and thus
on the absolute orientation of the molecules at the surface.[18] We correct the spectra for the spectral dependence
of the input IR beam by dividing the HD-VSFG spectrum of the sample
by the HD-VSFG spectrum of a reference z-cut quartz crystal. To obtain
high quality data in the frequency region of 1500–1750 cm–1, we take two independent measurements of z-cut quartz
with a different orientation of 180°. By addition of the two
quartz spectra, the interference induced by the SFG signal of the
local oscillator and the quartz is removed. The remaining modulation,
which largely represents the structural noise on the CCD camera induced
by the etaloning effect, can now be used as a scaling factor to remove
the structural noise from the data.[12] For
all measurements we used water from a Millipore Nanopure system (18.2
MΩ·cm). Acetic acid (99.8%) and formic acid (98%) were
purchased from Sigma-Aldrich and are used without further purification.
All measurements are performed with a custom-built sample cell. The
sample cell is made of Teflon and can hold a sample solution with
a volume up to 4 mL.
Results and Discussion
In Figures a,b
and 2a,b measured Im[χ(2)]
spectra of aqueous AA and FA solutions at different concentrations
in the frequency region 2850–3700 cm–1 are
presented. For AA the concentration ranges from 0.5 to 17.5 M (pure)
and for FA from 0.5 to 26.5 M (pure). At all concentrations the Im[χ(2)] spectra of the AA solutions show a narrow negative feature
at 2935 cm–1 which we assign to the symmetric stretch
vibration of the methyl group () of the AA molecule. In addition, the spectra
show a narrow positive band at 2970 cm–1 which we
assign to the antisymmetric stretch vibration of the methyl group
().[16,22] For FA the Im[χ(2)] spectra
show a single negative band in the CH region centered
at 2910 cm–1, which we assign to the stretch vibration
of the methine group (νCH) of the FA molecule.[17] The signs of the Im[χ(2)] responses
of the and vibrations of AA and the νCH of FA indicate that
both molecules are oriented at the water surface
with their CH bonds pointing toward the air phase.[21] For pure FA we observe that the band of the methine group
(νCH) is shifted ∼15 cm–1 to higher frequencies in comparison to aqueous solutions of FA,
in agreement with the results of a previous study of Johnson et al.[17] The Im[χ(2)] spectra for the
AA and the FA solutions further show a broad band between 3000 and
3700 cm–1 that changes sign at a frequency of ∼3450
cm–1. In previous intensity VSFG studies this response
has been assigned to a low-frequency band centered at ∼3060
cm–1 and a high-frequency band centered at ∼3600
cm–1, which were assigned to the OH stretch vibrations
of strongly hydrogen-bonded OH groups of the carboxylic acids and
to the OH stretch vibration of weakly hydrogen-bonded water molecules,
respectively.[16] The Im[χ(2)] spectra in Figures a,b and 2a,b show that in fact there exists
a single broad distribution of OH stretch frequencies that gives rise
to two separate bands in the intensity VSFG spectrum because of the
zero crossing at ∼3450 cm–1. The broad OH
response represents OH stretch vibrations of both acid and water molecules.22These vibrations are likely mixed and delocalized, but it
is to be expected that the low-frequency OH vibrations are dominated
by strongly hydrogen-bonded OH groups of the acid molecules while
the high-frequency OH vibrations will show a dominant contribution
of the OH stretch vibrations of weakly hydrogen-bonded water molecules.[16,22] The positive response near 3600 cm–1 shows a red
shift with increasing acid concentration, which can be explained from
the strengthening of the hydrogen bonds between the water and the
acid molecules. At low carboxylic acid concentrations in Figures a and 2a an additional negative band centered at 3450 cm–1 is observed that vanishes with increasing acid concentration. This
band is assigned to the OH stretch vibrations of hydrogen-bonded neat
water molecules, in agreement with VSFG studies of the neat water
surface.[21,23−25] For FA at low acid concentrations
in Figure a additionally
a sharp feature at 3700 cm–1 is observed, which
vanishes when the acid concentration is increased. This band is assigned
to the OH stretch vibrations of non-hydrogen-bonded OH groups of the
neat water surface that stick out of the surface.[26,27]
Figure 1
Im[χ(2)] spectra of aqueous solutions containing
different concentrations of AA (a) in the range of 0.5–5 M
and (b) in the range of 5–17.5 M (pure AA) in the frequency
region of 2850–3700 cm–1. (c) Decomposed
spectra of a 10 M AA solution with four Lorentzian bands centered
at 2935, 2970, 3060, and 3600 cm–1 describing the
symmetric () and antisymmetric ( stretch vibrations (magenta) and the OH
stretch vibrations of the strongly (blue) hydrogen-bonded AA molecules
and of the weakly hydrogen-bonded water molecules (green). (d) Absolute
area of these bands extracted from the fitting procedure as a function
of acid concentration.
Figure 2
Im[χ(2)] spectra of aqueous solutions containing
different concentrations of FA (a) in the range 0.5–7.5 M and
(b) in the range 7.5–26.5 M (pure FA) in the frequency region
of 2850–3750 cm–1. (c) Decomposed spectra
of FA with three Lorentzian bands centered at 2910, 3060, and 3600
cm–1 describing the CH stretch vibration of the
methine group (magenta) and the OH stretch vibrations of the strongly
(blue) hydrogen-bonded FA molecules and of the weakly hydrogen-bonded
water molecules (green). (d)Absolute area of these bands extracted
from the fitting procedure as a function of acid concentration.
Im[χ(2)] spectra of aqueous solutions containing
different concentrations of AA (a) in the range of 0.5–5 M
and (b) in the range of 5–17.5 M (pure AA) in the frequency
region of 2850–3700 cm–1. (c) Decomposed
spectra of a 10 M AA solution with four Lorentzian bands centered
at 2935, 2970, 3060, and 3600 cm–1 describing the
symmetric () and antisymmetric ( stretch vibrations (magenta) and the OH
stretch vibrations of the strongly (blue) hydrogen-bonded AA molecules
and of the weakly hydrogen-bonded water molecules (green). (d) Absolute
area of these bands extracted from the fitting procedure as a function
of acid concentration.Im[χ(2)] spectra of aqueous solutions containing
different concentrations of FA (a) in the range 0.5–7.5 M and
(b) in the range 7.5–26.5 M (pure FA) in the frequency region
of 2850–3750 cm–1. (c) Decomposed spectra
of FA with three Lorentzian bands centered at 2910, 3060, and 3600
cm–1 describing the CH stretch vibration of the
methine group (magenta) and the OH stretch vibrations of the strongly
(blue) hydrogen-bonded FA molecules and of the weakly hydrogen-bonded
water molecules (green). (d)Absolute area of these bands extracted
from the fitting procedure as a function of acid concentration.To analyze the Im[χ(2)] quantitatively,
we decompose
the measured responses at different acid concentrations into several
Lorentzian bands. For AA we decompose the Im[χ(2)] into four Lorentzian bands centered at 2935, 2970, 3060, and 3600
cm–1, describing the symmetric () and antisymmetric () stretch vibration of the methyl group
and the low- and high-frequency part of the OH stretch vibrations,
respectively (Figure c,d). For FA we decompose the Im[χ(2)] spectra at
different concentrations in three Lorentzian bands, centered at 2910,
3060, and 3600 cm–1, representing the stretch vibration
of the methine group (νCH) and the low- and high-frequency
part of the OH stretch vibrations, respectively (Figure c,d). For both AA and FA we
added an additional asymmetric Lorentzian curve centered at 3450 cm–1 to represent the response of the hydrogen-bonded
OH stretch vibrations of the neat water surface. For FA we added further
a narrow Lorentzian band centered at 3700 cm–1 representing
the response of the OH stretch vibrations of non-hydrogen-bonded OH
groups of the neat water surface. The Im[χ(2)] spectrum
of the neat water surface in this frequency region can be found in
the Supporting Information (Figure S1a).
In the decomposition we keep the widths of all Lorentzian bands constant
and allow only the amplitudes of the bands to change with the acid
concentration. The bands of the symmetric and antisymmetric vibrations
of the methyl group of AA are highly correlated, and we used a single
parameter to represent their amplitudes in the fitting procedure.
The resulting fits of the Im[χ(2)] are shown in Figures a,b and 2a,b with dashed lines and are presented in more
detail in the Supporting Information (Figures
S2a–j and S3a–j). As an example, we show in Figures c and 2c the decomposition of the Im[χ(2)] spectrum
of an AA and a FA solution with a concentration of 10 M.In Figures d and 2d we present the areas of the vibrational modes
extracted from the fitting procedure as a function of acid concentration.
For the symmetric and antisymmetric vibrations of the methyl group
of AA, the area shown is the sum of the absolute areas of the two
bands. For both AA and FA we observe that the areas of the CH bands
(magenta) increase with increasing concentration up to concentrations
of 7.5 M for AA and 15 M for FA and then start to decrease. The initial
increase of the areas of the CH bands can be well explained from the
increasing surface coverage by the acid molecules. This interpretation
is supported by surface tension measurements and calculations.[6,15,28] For acetic acid solutions the
surface tension strongly decreases with increasing acid concentration,
which shows that the concentration of acetic acid molecules at the
surface is enhanced in comparison to its bulk contribution. The surface
mole fraction of acetic acid can be obtained from the concentration
dependence of the surface tension and accounting for the surface areas
of the water and acetic acid molecules.[15] The response of the CH vibrations saturates at a higher acid concentration
for FA than for AA, which can be explained from the fact that the
FA molecules are less hydrophobic than the AA molecules and therefore
less surface active. For the low-frequency OH band we observe a steep
increase up to a concentration of 5 M for AA and 7.5 M for FA. This
increase also follows from the increasing accumulation of acid molecules
at the surface. This accumulation enhances the average strength of
the hydrogen-bond interactions due to the strong hydrogen-bond-donating
character of the acid hydroxyl group. In addition, the degree of orientation
with respect to the surface normal of the strongly hydrogen-bonded
OH groups will be enhanced with increasing concentration of acid molecules
at the surface, as these acid molecules have a distinct preferential
orientation of their OH groups toward the bulk. Above concentrations
of 7.5 M for AA and 12 M for FA, the low-frequency OH band is observed
to decrease with increasing acid concentration. The origin of this
decrease will be discussed later. For both AA and FA the area of the
high-frequency OH band (green) is constant up to a concentration of
∼5 M and then decreases until it completely vanishes for the
pure acid. The fact that the area of the band remains constant up
to ∼5 M does not mean that the number density of high-frequency
OH oscillators remains constant. For concentrations up to ∼5
M the high-frequency OH band is also observe to shift to lower frequencies,
which implies a strengthening of the hydrogen bonds of the OH groups.
Hence, the constant area of this band while red-shifting in fact implies
that the number density of high-frequency OH oscillators decreases.
The high-frequency OH response is dominated by weakly hydrogen-bonded
water molecules, and the decrease of the number density can thus be
well explained from the decrease of the amount of water in the solution
with increasing acid concentration.To further enhance the understanding
of the molecular properties
at the solution surface we also studied the response in the frequency
region of the C=O stretch vibration of AA and FA. Figures a and 4a show the experimental Im[χ(2)] spectra
(measured in SSP polarization configuration) of aqueous AA and FA
solutions at different concentrations in the frequency region of 1600–1800
cm–1. For AA the concentration is ranging from 0.5
to 5 M AA and for FA from 0.5 to 7.5 M. For both AA and FA the Im[χ(2)] spectrum shows a positive band centered at 1707 cm–1 with a shoulder centered at 1650 cm–1. The band at 1707 cm–1 increases with increasing
acid concentration and is assigned to the C=O stretch vibration
of the acid molecules. The increase of the vibrational band of the
C=O group is similar to the increase of the response of the
CH vibrations shown in Figures a,b and 2a,b. The positive sign of
the Im[χ(2)] response of the C=O stretch vibration
indicates that the positive charge of the C=O group is closer
to the surface than the negative charge, which implies that the C=O
group points with its oxygen atom toward the bulk.[14,29,30] This finding is consistent with the observation
that the methyl group of AA and the methine group of FA are oriented
toward the air. The Im[χ(2)] spectrum of the neat
water surface shows a vibrational response centered at 1650 cm–1 (Figure S1b) that is assigned
to the water bending mode. Therefore, we explain the shoulder at 1650
cm–1 that is observed in the spectra of Figures and 4 to the response of the water bending mode.[11,12,17,31−33] The assignment is supported by measurements of AA and FA in D2O solution that show that the band at 1650 cm–1 vanishes (Figures S4 and S5). With increasing
acid concentration the band at 1650 cm–1 decreases
due to the decrease in water content within the solution. For FA we
observe an additional negative band centered at 1750 cm–1, which we assign to the vibrational response of non-hydrogen-bonded
carbonyl groups.[16,34−36] In Figures b and 4b we present Im[χ(2)] spectra of aqueous
AA and FA solutions at even higher concentrations. The concentration
of AA is ranging from 5 to 17.5 M (pure AA), and the concentration
of FA ranges from 7.5 to 26.5 M (pure FA). We observe that in this
concentration range the positive band of the C=O vibration
decreases and changes sign.
Figure 3
Im[χ(2)] spectra of aqueous
solutions containing
different concentrations of AA (a) in the range of 0.5–5 M
and (b) in the range of 5–17.5 M (pure AA) in the frequency
region of 1600–1800 cm–1. (c) Decomposed
spectra of AA with three Lorentzian bands centered at 1650, 1707,
and 1712 cm–1 describing the water bending mode
(blue), the dipolar response of the C=O vibration (green),
and the quadrupolar response of the C=O vibration (magenta).
(d) Absolute area of these bands extracted from the fitting procedure
as a function of acid concentration.
Figure 4
Im[χ(2)] spectra of aqueous solutions containing
different concentrations of FA (a) in the range of 0.5–7.5
M and (b) in the range of 7.5–26.5 M (pure FA) in the frequency
region of 1600–1800 cm–1. (c) Decomposed
spectra of FA with four Lorentzian bands centered at 1650, 1707, and
1712 cm–1 and the response of the linear FA dimers
(yellow) describing the water bending mode (blue), the dipolar response
of the C=O vibration (green), the quadrupolar response of the
C=O vibrations (magenta), and the response of the linear FA
dimers (yellow). (d) Absolute area of these bands extracted from the
fitting procedure as a function of acid concentration.
Im[χ(2)] spectra of aqueous
solutions containing
different concentrations of AA (a) in the range of 0.5–5 M
and (b) in the range of 5–17.5 M (pure AA) in the frequency
region of 1600–1800 cm–1. (c) Decomposed
spectra of AA with three Lorentzian bands centered at 1650, 1707,
and 1712 cm–1 describing the water bending mode
(blue), the dipolar response of the C=O vibration (green),
and the quadrupolar response of the C=O vibration (magenta).
(d) Absolute area of these bands extracted from the fitting procedure
as a function of acid concentration.Im[χ(2)] spectra of aqueous solutions containing
different concentrations of FA (a) in the range of 0.5–7.5
M and (b) in the range of 7.5–26.5 M (pure FA) in the frequency
region of 1600–1800 cm–1. (c) Decomposed
spectra of FA with four Lorentzian bands centered at 1650, 1707, and
1712 cm–1 and the response of the linear FA dimers
(yellow) describing the water bending mode (blue), the dipolar response
of the C=O vibration (green), the quadrupolar response of the
C=O vibrations (magenta), and the response of the linear FA
dimers (yellow). (d) Absolute area of these bands extracted from the
fitting procedure as a function of acid concentration.To analyze the spectra quantitatively, we decompose the Im[χ(2)] spectra into Lorentzian bands. For AA we decompose the
Im[χ(2)] into three Lorentzian bands at 1650, 1707,
and 1712 cm–1 (Figure c,d). For FA we decompose the experimental
Im[χ(2)] spectra into four Lorentzian bands (Figure c,d), representing
the same responses as for AA and an additional band centered at 1750
cm–1. We keep the widths of all Lorentzian bands
constant and only allow the amplitude of the different contributions
to change with acid concentration. The resulting fits are shown in Figures a,b and 4a,b with dashed lines and are presented in more
detail in the Supporting Information (Figures
S6a–j and S7a–j). As an example, we show in Figures c and 4c the fitted decomposition of the Im[χ(2)] of an AA solution at a concentration of 11 M and of an FA solution
at a concentration of 15 M. In Figures d and 4d we present the areas
of the vibrational modes extracted from the fitting procedure as a
function of the acid concentration. With increasing acid concentration
the area of the response of the C=O vibration at 1707 cm–1 (green) first increases, for AA up to a concentration
of 2.5 M and for FA up to a concentration of 7.5 M. Increasing the
concentration further leads to a decrease of this band. The decrease
and vanishing of the positive response of the C=O vibrations
at higher concentrations are in good agreement with the results of
Johnson et al.[16] and can be explained by
the formation of cyclic AA dimers.[16,37] Cyclic dimers
are centrosymmetric and therefore do not show a dipolar vibrational
SFG response. This formation of cyclic dimers also explains why we
observed a decrease of the low-frequency OH band at concentrations
>5 M for AA and >7.5 M for FA.The positive C=O
band not only decreases but even changes
sign at concentrations >14 M for AA and >22.5 M for FA. This
sign
change can be well accounted for by including in the fitting a negative
band centered at 1712 cm–1, of which the amplitude
increases with concentration. This band can be assigned to the quadrupolar
response of the carbonyl vibration. This negative response becomes
visible when the strong positive dipolar band of the carbonyl vibration
vanishes as a result of the formation of cyclic dimers. In a cyclic
dimer the two carbonyl vibrations have a nearly perfect antiparallel
arrangement, meaning that the dipolar response vanishes, thus leaving
only the quadrupolar response of the C=O vibrations.[14] A detailed description of the quadrupolar response
of molecular vibrations can be found in refs (10), (13), and (38−41). As the
quadrupolar response of a particular vibration is not surface specific,
its amplitude is expected to be proportional to the bulk concentration
of that vibration. Therefore, in the fitting we assume that the amplitudes
of the C=O band at 1712 cm–1 and the water
bending mode at 1650 cm–1, which also represent
a quadrupolar response,[11,12] are directly proportional
to the (bulk) concentrations of acid and water molecules, respectively.
The area of the band at 1750 cm–1 is more or less
constant throughout the whole concentration series. This band has
been assigned to the response of non-hydrogen-bonded carbonyl groups[16,34−36] and is probably associated with linear FA dimers,
which would imply that the concentration of linear dimers would be
independent of the FA concentration.In view of the observations
in the frequency region of the C=O
vibrations showing the formation of cyclic dimers at higher acid concentration,
it is surprising that the responses of the CH vibrations of the methyl
group of AA and of the methine group of FA do not strongly decrease
at high acid concentrations. In cyclic acid dimers the CH groups of
the acid molecules are arranged in an antisymmetric manner, which
implies that the dipolar response of these vibrations is expected
to vanish. There are two possible reasons why the response of the
CH vibrations does not vanish due to the formation of cyclic dimers.
The first is that even though the molecular structure of the cyclic
dimers is centrosymmetric, the two aliphatic parts of the cyclic dimer
are in quite different molecular environments, one part being much
closer to the surface than the other part. Hence, on the molecular
scale the symmetry of the methyl and methine may still be broken which
would imply that the dipolar response of the CH vibrations does not
vanish.[16] A second explanation is that
the responses of the methyl and the methine groups show a quadrupolar
bulk contribution that is not affected by the formation of cyclic
dimers.[13,39] Here, a clear difference with the carbonyl
vibration would be that for the CH vibrations the quadrupolar response
is not of opposite sign to the dipolar response. As a result, for
the CH vibrations the vanishing of the dipolar response only leads
to a decrease of their Im[χ(2)] response, whereas
for the C=O vibrations the vanishing of the dipolar response
leads to a sign change of their Im[χ(2)] response.The central frequency of 1712 cm–1 of the quadrupolar
response of the carbonyl vibration is slightly higher than the central
frequency of 1707 cm–1 of the dipolar response of
this vibration. This difference may be due to the difference in hydrogen-bond
configuration between a cyclic dimer and a hydrated monomer. However,
this frequency difference may also result from the change of the frequency-dependent
refractive index of the solution upon increasing acid concentration,
as this will lead to a change of the Fresnel factors. To investigate
a potential effect of the concentration dependence of the Fresnel
factors, we modeled the sum-frequency response of the carboxyl group
using the three-layer-model combined with the Lorentz model to estimate
the refractive index of the interfacial layer (see Figure S8). A more detailed description of the model and the
derivation of the Fresnel factors can be found elsewhere.[9,10,42] We find that at higher acid concentrations
the Fresnel factors of the infrared light become frequency dependent,
resulting in an enhancement of the high-frequency wing of the response
of the carbonyl vibration. Therefore, the frequency of the maximum
of the carbonyl vibration will shift to higher frequencies with increasing
acid concentration, even if the intrinsic vibrational frequency itself
would not change. In the fitting procedure the optimal frequency of
maximum response of the dipolar component will be dominated by the
spectra measured at low acid concentrations, while the optimal frequency
of maximum response of the quadrupolar response is governed by the
spectra measured at high acid concentrations. Hence, the difference
of ∼5 cm–1 between the central frequencies
of the fitted dipolar and quadrupolar responses can be due to the
change of the Fresnel factors with acid concentration.
Conclusions
We performed heterodyne-detected vibrational sum frequency generation
(HD-VSFG) measurements of aqueous acetic acid (AA) and formic acid
(FA) solutions over a broad concentration range. In the frequency
region from 2850 to 3700 cm–1 we find for both AA
and FA solutions that the measured Im[χ(2)] spectra
show an increase of the bands in the CH region with increasing acid
concentration, which can be explained from the increase in surface
coverage by the acid molecules. The OH vibrations of the acid and
the water molecules give rise to a broad response between 3000 and
3700 cm–1, of which the Im[χ(2)] response changes sign at a frequency of ∼3450 cm–1. The amplitude of this band first increases with increasing acid
concentration but starts to decrease for concentrations >5 M for
AA
and >7.5 M for FA, which can be explained from the formation of
cyclic
dimers. In cyclic dimers the vibrations of the acid monomers have
a near-perfect antiparallel arrangement which cancels the dipolar
sum-frequency generation response of these vibrations. In the frequency
region from 1600 to 1800 cm–1 we observe a similar
initial increase and subsequent decrease for the C=O stretch
vibration of AA and FA at 1707 cm–1 as for the broad
O–H stretch vibrational response of these acids, which can
be explained again from the formation of cyclic dimers. We observe
that the band at 1707 cm–1 decreases and even changes
sign at high acid concentrations. This sign change can be well explained
from the presence of a band at 1712 cm–1 which has
a negative Im[χ(2)] response and that rises proportional
to the bulk acid concentration. This band is assigned to the quadrupolar
bulk response of the C=O stretch vibrations. The difference
between the fitted frequency of the maximum quadrupolar response and
the fitted frequency of maximum dipolar response may originate from
the difference in hydrogen-bond configuration between a cyclic acid
dimer and a hydrated monomer but can also be due to concentration-dependent
Fresnel effects, as these effects enhance the high-frequency wing
of the response at higher concentrations. Finally, we find that at
high acid concentrations the vibrational responses of the CH vibrations
saturate but do not strongly decrease. This indicates that in cyclic
dimers the response of the CH groups of formic acid and acetic acid
does not vanish because the two aliphatic parts of the cyclic acid
dimer are in quite different molecular environments or because the
response of the CH vibrations contains a quadrupolar contribution
that is of the same sign as the dipolar response. The present observation
of a quadrupolar bulk component in the VSFG responses of the C=O
vibration, and possibly in the VSFG response of the CH vibrations,
implies that the probing of liquids via VSFG spectroscopy of these
vibrations is likely not as surface specific as up to now has been
assumed.
Authors: C Magnus Johnson; Eric Tyrode; Steve Baldelli; Mark W Rutland; Christofer Leygraf Journal: J Phys Chem B Date: 2005-01-13 Impact factor: 2.991