Christine Holzammer1,2, Judith M Schicks3, Stefan Will1,2, Andreas S Braeuer1,2. 1. Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) , Paul-Gordan-Str. 6, 91052 Erlangen, Germany. 2. Lehrstuhl für Technische Thermodynamik (LTT), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) , Am Weichselgarten 8, 91058 Erlangen, Germany. 3. Helmholtz Centre Potsdam, GFZ German Research Centre for Geosciences , Telegrafenberg, 14473 Potsdam, Germany.
Abstract
We present an experimental study on the formation and dissociation characteristics of carbon dioxide (CO2) gas hydrates using Raman spectroscopy. The CO2 hydrates were formed from sodium chloride/water solutions with salinities of 0-10 wt %, which were pressurized with liquid CO2 in a stirred vessel at 6 MPa and a subcooling of 9.5 K. The formation of the CO2 hydrate resulted in a hydrate gel where the solid hydrate can be considered as the continuous phase that includes small amounts of a dispersed liquid water-rich phase that has not been converted to hydrate. During the hydrate formation process we quantified the fraction of solid hydrate, xH, and the fraction of the dispersed liquid water-rich phase, xL, from the signature of the hydroxyl (OH)-stretching vibration of the hydrate gel. We found that the fraction of hydrate xH contained in the hydrate gel linearly depends on the salinity of the initial liquid water-rich phase. In addition, the ratio of CO2 and water was analyzed in the liquid water-rich phase before hydrate formation, in the hydrate gel during growth and dissociation, and after its complete dissociation again in the liquid water-rich phase. We observed a supersaturation of CO2 in the water-rich phase after complete dissociation of the hydrate gel and were able to show that the excess CO2 exists as dispersed micro- or nanoscale liquid droplets in the liquid water-rich phase. These residual nano- and microdroplets could be a possible explanation for the so-called memory effect.
We present an experimental study on the formation and dissociation characteristics of carbon dioxide (CO2) gas hydrates using Raman spectroscopy. The CO2 hydrates were formed from sodium chloride/water solutions with salinities of 0-10 wt %, which were pressurized with liquid CO2 in a stirred vessel at 6 MPa and a subcooling of 9.5 K. The formation of the CO2 hydrate resulted in a hydrate gel where the solid hydrate can be considered as the continuous phase that includes small amounts of a dispersed liquid water-rich phase that has not been converted to hydrate. During the hydrate formation process we quantified the fraction of solid hydrate, xH, and the fraction of the dispersed liquid water-rich phase, xL, from the signature of the hydroxyl (OH)-stretching vibration of the hydrate gel. We found that the fraction of hydrate xH contained in the hydrate gel linearly depends on the salinity of the initial liquid water-rich phase. In addition, the ratio of CO2 and water was analyzed in the liquid water-rich phase before hydrate formation, in the hydrate gel during growth and dissociation, and after its complete dissociation again in the liquid water-rich phase. We observed a supersaturation of CO2 in the water-rich phase after complete dissociation of the hydrate gel and were able to show that the excess CO2 exists as dispersed micro- or nanoscale liquid droplets in the liquid water-rich phase. These residual nano- and microdroplets could be a possible explanation for the so-called memory effect.
Gas hydrates are crystalline
solids that consist of a hydrogen-bonded,
three-dimensional network of water molecules stabilized by included
guest molecules.[1,2] Especially in off-shore drilling
and gas pipelines the prevention of gas hydrates is of particular
interest as high pressure and low temperature enhance gas hydrate
formation. The undesired formation of hydrates can cause pipeline
blockage or even destruction.[3] A variety
of substances that avert and/or delay their formation, called inhibitors,
have been investigated. Thermodynamic inhibitors prevent the formation
of gas hydrates by disturbing the hydrogen bond network in the water-rich
phase before hydrate formation, shifting the hydrate forming equilibrium
conditions to higher pressure and lower temperature. Raman spectroscopy
is a powerful tool to analyze these disturbances because the hydroxyl
(OH)-stretching vibration of water is sensitive to the development
of hydrogen bonds.[4,5] In a previous study we focused
on the liquid water-rich phase before hydrate formation and analyzed
the OH-stretching vibration to quantify the effect of the salinity
and the dissolved CO2 on the hydrogen bond network before
hydrate formation.[6] In contrast, here we
focus on subsequent processes, which are the formation of the solid
hydrate from the CO2 saturated liquid water-rich phase
and the dissociation/melting of the hydrate phase as a function of
the concentration of sodium chloride. The formation of the CO2 hydrate results in a hydrate gel where the solid hydrate
can be considered as the continuous phase that includes a dispersed
liquid water-rich phase that has not been converted to hydrate. Other
authors[7−10] quantified the fraction of liquid water included in the hydrate
gel and the fraction of hydrate from the pressure drop in the isochoric
vessel during hydrate formation. They applied the virial model for
real gases and had to estimate the hydration number. The methodology
that we present here allows for the determination of the fractions
of solid hydrate and liquid water of the hydrate gel directly from
the Raman signals of its OH-stretching vibration. Therefore, it does
not depend on an estimate of the hydration number.In addition,
we determined the ratio of carbon dioxide and water
in the liquid water-rich phase before hydrate formation, during hydrate
formation, during hydrate dissociation, and after the complete dissociation
of the hydrate. Via these analyses we intended to investigate a phenomenon
in the context of gas hydrates not yet fully understood, the so-called
memory effect. It states that gas hydrates form easier from water
that is gained from a molten gas hydrate than from a “freshly”
prepared solution that has not experienced gas hydrate solution yet.
The existence of this phenomenon is controversial, but three main
reasons for it are given in the literature.[11,12]The first explanation is the possible existence of residual
structures
in the liquid water-rich phase after gas hydrate melting. Some water
molecules stay in a structure that is similar to the one of the gas
hydrate cage. Neutron diffraction measurements indicate that a low
concentration of hydrate crystals remains in the solution after the
hydrate crystal appears to have melted and influences the local water
structure.[13] Consequently, a reformation
of the hydrate cage is easier, and the hydrate formation appears faster.[14]The second explanation is given by Zeng
et al.[15,16] According to them, the growth of a hydrate
crystal causes an imprinting
on the surface of impurities in the sample or the walls of the cell.
The altered surface can act as a better nucleation site of hydrate,
resulting in a facilitated hydrate nucleation.The third explanation
is that after the complete melting of the
hydrate the remaining liquid water-rich phase contains excess hydrate
guest molecules (here CO2), either dissolved in a supersaturated
system or as dispersed micro bubbles/droplets in the form of a microemulsion.[17] Recent studies have simulated the melting process
of gas hydrates and found out that it results in a micro- and nanobubble
(MNB) solution. Uchida et al.[18,19] found evidence that
the MNBs are stable for several hours. They detected the MNBs using
a transmission electron microscope and investigated their influence
on the memory effect. Bagherzadeh et al.[20] performed molecular dynamic simulations on the decomposition of
methane hydrate. They suggested that the MNBs may live long enough
to be metastable and lead to the memory effect.
Materials and Methods
The materials used in this work were deionized water with a conductivity
less than 10 μS/cm, sodium chloride (Alfa Aesar, optical grade),
and carbon dioxide (Linde, molar purity 99.5%). A schematic sketch
of the experimental setup is given in Figure . It consists of two main parts: the high-pressure
view cell and the optical setup.
Figure 1
Sketch of the experimental setup including
the high-pressure view
cell and the Raman sensor head with beam paths of the laser excitation
and the Raman signal.
Sketch of the experimental setup including
the high-pressure view
cell and the Raman sensor head with beam paths of the laser excitation
and the Raman signal.
High-Pressure Setup and Hydrate Formation Procedure
The
high-pressure view cell, with a sample volume of 25 mL, constructed
by Separex, has four optical accesses. It has a syringe connection
for filling and a screw fitting for emptying at the bottom. For pressurization
with CO2, it is connected to a high-precision Teledyne
ISCO syringe pump model 260-D. The pump head is cooled by a thermostat
type F12-ED from Julabo to keep the CO2 inside the pump
head liquid. The pressure inside the cell is measured with a pressure
sensor type PTI-S-AG100-12AS, uncertainty 0.05 MPa, from Swagelok
The temperature control of the cell is implemented by a cryo compact
thermostat CF41 from Julabo, which circulates refrigerant through
the double walled jacket of the cell. The temperature inside the cell
is measured continuously by a PT-100 thermocouple with a resolution
of 0.05 K and an uncertainty of 0.12 K and recorded.For the
experiments, the cell is first flushed with CO2. After
that, 20 mL of the water/salt-solution is filled into the cell using
a syringe. The pressure is increased to 6 MPa with the CO2 pump, and the temperature is set to the initial temperature, approximately
3 K above the equilibrium temperature of hydrate formation. The sample
is continuously agitated with a magnetic stirrer. After 2 h at the
initial set temperature and 6 MPa, no further changes in the recorded
Raman spectra are detectable. Therefore, the ratio of CO2 dissolved in the liquid water-rich phase ( ratio), extractable from the acquired Raman
spectra, corresponds to the equilibrium ratio at the given pressure,
temperature, and salinity. Afterward, the cell is cooled at 3 K/h
to the final set temperature that, as shown in Figure , is between the hydrate equilibrium temperature
and the freezing temperature for the respective salinity. It is 9.5
K below the hydrate equilibrium temperature to achieve a high subcooling
and approximately 1 K above the corresponding freezing temperature,
which we estimated using Blagden’s law[21]where Kf is the
cryoscopic constant of water (1.86 K·kg·mol–1) and b the molality.
Figure 2
Sample concentrations
with corresponding freezing temperatures,
final set temperatures, and hydrate equilibrium temperatures.[22−26] The exact temperature values are listed in Table S1 in the Supporting Information.
Sample concentrations
with corresponding freezing temperatures,
final set temperatures, and hydrate equilibrium temperatures.[22−26] The exact temperature values are listed in Table S1 in the Supporting Information.After the final set temperature is reached, it takes between
1
and 7 h until spontaneous hydrate formation starts. Thirty min afterward,
no changes in the Raman spectra acquired from the hydrate gel can
be observed anymore, which signalizes stationary conditions. Subsequently,
the sample is heated at 3 K/h to the initial temperature, and the
hydrate melts/dissociates. The experiments were carried out three
times for each salinity .
Raman Experimental Setup
The light
source for the optical
setup is a frequency-doubled Nd:YAG laser type 532-250-AC from CNI
that emits light with a wavelength of 532 nm and an output power of
250 mW. The beam is widened and collimated by two lenses and guided
by a dichroitic mirror (DCM) to a third lens. This lens, with a focal
length of 100 mm, focuses the beam into the high-pressure cell. The
measuring volume has approximately a length of 5 mm (depth of field)
and a diameter of 0.2 mm. The detection of the inelastically scattered
Raman signals is realized in a backscattering configuration. The dichroitic
mirror reflects the elastically scattered green light, while light
with a larger wavelength—the inelastically scattered Raman
signal—is transmitted. Residual green light is withheld by
a long pass filter (LPF), and the Raman signal is guided via a lens
and a fiber into the spectrometer. Each Raman spectrum is acquired
with a signal integration time of 1 s. Raman spectra are recorded
with a repetition rate of 1 Hz. Each 10 consecutive Raman spectra
are averaged, and the averaged spectra are correlated with a time-stamp
and with the temperature measured inside the cell.
Hydrate Fraction
Contained in the Hydrate Gel
The shape
of the Raman signal of liquid water is known to be dependent on the
development of the hydrogen bond network.[4]Figure a shows area-normalized
spectra of the OH-stretching vibration of a liquid water-rich phase
before hydrate formation , the
formed hydrate gel with
liquid-water inclusions, and a pure
hydrate phase without
liquid-water inclusions. All spectra
were recorded at 274 K and when the systems were pressurized with
CO2. The spectrum of the pure hydrate phase was recorded
with a Raman microscope from a single hydrate crystal according to
the procedure described elsewhere,[27] while
the other spectra were recorded with the setup described above. There
is a consensus in literature[28,29] that the left shoulder
of the band shape (2800–3350 cm–1) is attributable
to strongly hydrogen-bonded water molecules, whereas the right shoulder
(3350–3800 cm–1) is attributable to weakly
hydrogen-bonded water molecules. Here “strong” and “weak”
refer to the number of hydrogen bonds a water molecule forms with
its neighboring water molecules but not to the strength of particular
hydrogen bonds between neighboring water molecules. As the hydrate
phase consists of a strongly hydrogen-bonded network, the intensity
of the left shoulder of the pure hydrate spectrum exceeds that of
the liquid water-rich phase before hydrate formation. Vice versa,
in the liquid water-rich phase less hydrogen bonds are developed.
Consequently, the right shoulder of the OH-stretching vibration of
the liquid water-rich phase is more pronounced than that of the pure
hydrate. The hydrate gel, which consists of hydrate and an included
liquid water-rich phase, gives a signal in between, because it is
a superposition of both. Knowing that, it is possible to deconstruct
the signal of the hydrate gel into its two original parts:
Figure 3
(a) Spectra of the OH-stretching-vibration
from the liquid water-rich
phase, the hydrate gel, and the pure hydrate phase. (b) Best fit of eq with the regression line
for a water/CO2 system at T = 274 K and p = 6 MPa.
(a) Spectra of the OH-stretching-vibration
from the liquid water-rich
phase, the hydrate gel, and the pure hydrate phase. (b) Best fit of eq with the regression line
for a water/CO2 system at T = 274 K and p = 6 MPa.Ii is the intensity of the Raman
spectrum
as a function of the Raman shift ν̅ of the compound i,
in which the indices G, L, and H represent hydrate gel, the liquid
water-rich phase, and the pure hydrate phase (CO2 forms
structure sI), respectively. The superscript 0 denotes the area-normalized
spectra. σi is the Raman scattering cross section
of the compound i, and ni is the amount
of substance of the compound i. nL and nH can be replaced by their molar fraction in
the hydrate gelwhich must sum to 1:We now introduce Q as the
ratio of the Raman scattering
cross sections of water in its hydrate phase and its liquid phase,[30] respectivelywhich we, because of the similarity of the
Raman spectra of ice and hydrate sI, approximate to Q = 0.607 by the ratio of the Raman scattering cross sections of water
in its ice phase and in its liquid phase.[27] Inserting xL and Q in eq yields the linear relationIH0(ν̅), IL0(ν̅), and IG0(ν̅)
are the recorded spectra shown in Figure a (see the description above). By evaluating eq for Raman shifts from
2800 to 3800 cm–1, which is visualized in Figure b, xL can be derived from the slope in Figure b with a linear least-squares regression.
For this method we assume the ratio of the Raman cross sections Q to be constant for the Raman shifts evaluated.To
characterize the quality of the fit, we used the coefficient
of determination R2.With this method
it is possible to determine the molar fraction
of solid hydrate xH = 1 – xL and the included liquid water-rich dispersed
phase xL in a hydrate gel and investigate
the influence of different inhibitors on this property.
Determination
of the CO2/Water Ratio
The
intensity (integrated peak area) Ii of
the Raman peak for species i is dependent on the irradiance on the
sample, i0; the instrumental efficiency
of the optical and electronic response, ηi; the Raman
scattering cross section, σi; and the amount of substance
in the irradiated volume, ni.[31,32] Therefore, the intensity ratio of the Raman signals of CO2 (ICO) and water (Iwater)is proportional to the molar ratio of CO2 and water in the sample. For systems in which i0, ηi, and σi are constant,
these parameters can be combined to the proportionality constant a. Here, ICO is
the integral of the two bands around 1280 and 1380 cm–1 (see Table ), attributed
to the lower (νl) and upper (νu)
band of the Fermi dyad of CO2. These bands arise from Fermi
resonance of the ν1 symmetric stretching O=C=O
and 2ν2 bending overtone of the CO2 molecules.[33,34]Iwater is the integral of the Raman
signal of the OH-vibration between 2800 and 3800 cm–1 (see Figure b).
The proportionality constant a = 2.76 is determined
for the liquid water-rich phase by measuring the intensity ratio at pressures
and temperatures, for which
the saturation molar ratio is known from literature.[35−37] The saturation
values used for calibration are given in Table S2. The Raman scattering cross section
of liquid water differs from that of water in the hydrate structure.
Therefore, the proportionality constant a that we
found for the liquid water-rich phase is not applicable to determine
the ratio in the pure hydrate phase nor in the hydrate
gel.
Table 1
Raman Shifts of the Upper (vu) and Lower (vl) Band of
the CO2 Fermi Dyad for Different States of CO2[38,39]
state CO2
positions
CO2vl (cm–1)
positions
CO2vu (cm–1)
gaseous CO2
1285
1388
liquid CO2
1280
1386
sI CO2 hydrate
1276
1381
CO2 dissolved
in liquid water
1274
1382
Figure 5
(a) Evolution of the ratio in the liquid water-rich phase (1
→ 2 and 5 → 6) and in the hydrate gel (3 → 4)
for a water/CO2 system. (b) Example Raman spectra from
the liquid water-rich phase and from the gel corresponding to the
state numbers 1, 2, 3, and 6 labeled in panel a.
Determination of the Raman Shift of the Two
Main Peaks of the
CO2 Fermi Dyad
The Raman shifts of the upper (vu) and lower band (vl) of the CO2 Fermi dyad depend on the chemical environment
of the CO2 molecules. The Raman shifts of vu and vl are therefore different
for CO2 in the gas phase, for CO2 dissolved
in a water-rich phase, for CO2 incorporated as guest molecule
in a hydrate cage, or for CO2 present in a CO2-rich environment, e.g., in the form of CO2 droplets.[38] The Raman shifts are also weakly temperature-dependent,
but this can be neglected in the temperature range investigated. Table shows the Raman shifts
of the upper and lower band of the CO2 Fermi dyad for different
states of carbon dioxide.In order to determine the Raman shift
of the upper and lower band of the CO2 Fermi dyad, we fitted
pseudo-Voigt profiles to each of the bands that are shown in Figure b. The center of
the pseudo-Voigt profiles, peak width, intensity, and shape were fitted
as described previously.[40]
Results
and Discussion
The following discussion of the characteristics
of one measurement
cycle will be performed for systems without salt exemplarily. Measurement
cycles for systems containing NaCl look very similar and are shown
in the Supporting Information.Figure shows photographs
of the water/CO2 sample acquired through the windows of
the high-pressure cell during one measurement cycle.
Figure 4
Photographs of the water/CO2 sample acquired through
the windows of the high-pressure cell during one measurement cycle.
The laser beam can be seen weakly in the photographs corresponding
to the state changes 2 → 3, 3 → 4, and 4 → 5.
For the two state changes 2 → 3 and 4 → 5, two photographs
are shown. The lower one corresponds to a later instant of time.
Photographs of the water/CO2 sample acquired through
the windows of the high-pressure cell during one measurement cycle.
The laser beam can be seen weakly in the photographs corresponding
to the state changes 2 → 3, 3 → 4, and 4 → 5.
For the two state changes 2 → 3 and 4 → 5, two photographs
are shown. The lower one corresponds to a later instant of time.Figure b shows typical Raman
spectra acquired from the liquid
water-rich phase before hydrate formation [states 1 (red) and 2 (orange)],
from the hydrate gel [state 3 (blue)] and from the liquid water-rich
phase after complete dissociation of the hydrate [state 6 (green)].
From the Raman spectra the evolution of the ratio is extracted and shown as a function
of the temperature during an entire measurement cycle. The numbers
1–6 provided in Figure a,b correspond to identical states also shown in Figure . One measurement
cycle can be divided into five main parts.(a) Evolution of the ratio in the liquid water-rich phase (1
→ 2 and 5 → 6) and in the hydrate gel (3 → 4)
for a water/CO2 system. (b) Example Raman spectra from
the liquid water-rich phase and from the gel corresponding to the
state numbers 1, 2, 3, and 6 labeled in panel a.
1 → 2: Cooling of the Liquid Water-Rich Phase
From
1 → 2 the sample, which consists of liquid water and
is saturated with CO2 at 6 MPa, is continuously cooled
from 286 to 274 K. In this period, the intensity of the Raman signal
from 2800 to 3350 cm–1 attributable to strongly
hydrogen-bonded water molecules increases, whereas the intensity of
the Raman signal from 3350 to 3800 cm–1 assigned
to weakly hydrogen-bonded water molecules decreases. As the kinetic
energy, or mobility, respectively, decreases with decreasing temperature,
more water molecules get strongly hydrogen-bonded. The ratio increases linearly as the solubility
of CO2 increases with decreasing temperature.
2 →
3: Hydrate Formation
At the temperature
of 274 K (final set temperature), it takes 1–7 h until rapid
hydrate growth appears, caused by the stochastic characteristics of
nucleation: usually beginning at the interphase of the liquid water-rich
and the CO2-rich phase, the hydrate phase spreads downward
until the stirrer is blocked and stops to rotate. Though the sample
appears completely solid, not all the water participates in the hydrate
phase, but portions remain as liquid water-rich inclusions. Therefore,
the OH-stretching vibration gained from the hydrate gel is a mix of
the solid hydrate phase and the liquid water-rich phase. The formation
of the hydrate gel is accompanied by a sudden increase of the ratio (from 0.0115 to 0.0125) and a further
increase of the Raman intensity from 2800 to 3350 cm–1 of the OH-stretching vibration. This was expected, as more water
molecules are hydrogen-bonded and also more carbon dioxide can be
accumulated in the hydrate phase than in the coexisting liquid water-rich
phase.[3]
3 → 4: Heating of
the System
From 3 →
4 the hydrate gel is heated. The ratio stays at a fixed value, but the intensity
of the OH-stretching vibration from 2800 to 3350 cm–1 decreases, whereas from 3350 to 3800 cm–1 it increases
(not shown in Figure ). The stationary ratio indicates that no further significant
amount of CO2 gets into the hydrate gel, most likely because
the CO2 transport is limited because of the slow diffusion
processes through the gel. The constant amount of CO2 in
the hydrate gel can be considered as an indicator for the stop of
formation of additional hydrate. The change in the OH-stretching vibration
can be explained by the fact that the hydrate gel consists of a liquid
water-rich phase and hydrate phase. The OH-stretching vibration of
the hydrate phase is, in the temperature interval investigated, not
temperature sensitive (see Figure S3),
but the OH-stretching vibration of the included liquid water-rich
phase in the hydrate gel is temperature sensitive. Consequently, the
OH-stretching vibration of the hydrate gel changes with temperature,
while the ratio remains unchanged.
4 → 5: Dissociation/Melting
of the Hydrate Phase
At point 4 the hydrate starts to dissociate.
The first indication
for this effect is that the magnetic stirrer starts to move again.
At this time the hydrate gel still exists as an interphase below the
upper CO2-rich phase. We suppose that the initial increase
of the ratio is an effect caused by a temporary
local increase of the CO2 concentration within the measurement
volume. When CO2 is released from the hydrate cages, it
agglomerates to droplets (bigger than micro–nanoscale). While
rising to the upper CO2 rich phase, they cross the measuring
volume and cause an increase of the ratio. With further increase of the temperature,
more and more hydrate dissociates, resulting in complete melting of
the hydrate phase. Once the CO2 droplets have coagulated
and separated from the liquid water-rich phase, the ratio drops toward state 5.
5 → 6: Recurred
Water Phase
At point 5 the hydrate
is completely dissociated and all visible CO2 droplets
are gone from the liquid water-rich phase. Visually the water-rich
phase between states 5 and 6 is as transparent as the original liquid
water-rich phase between states 1 and 2. The shape of the OH-stretching
vibration from 5 → 6 is the same as for the cooling period
1 → 2 at the same temperature (cf. Raman spectra 1 and 6 in Figure b). However, the ratio for a given temperature is higher
than at the same temperature for the cooling period, although there
are no visible CO2 droplets in the water-rich phase.Evolutions of the ratio for different salt concentrations
that we show in the Supporting Information differ in the absolute amount of the ratio, as the addition of salt reduces
the solubility of nonpolar gases in water.[6] Nevertheless the characteristics of the measurement cycles are identical.Figure shows the
saturation in the recurred liquid water-rich phase
for different salinities.
Figure 6
Saturation of the recurred water phase of carbon
dioxide for different
salt concentrations.
Saturation of the recurred water phase of carbon
dioxide for different
salt concentrations.The ratio that we measured during cooling (1
→ 2) at the respective temperature and salt concentration corresponds
to the equilibrium ratio. With values around 2–3%,
the supersaturation in the recurred water phase (5 → 6) is
significant. It can also be seen that the supersaturation is not a
function of the salinity. It stays at a value of about 3% for all
salinities.To shed further light on the origin of the supersaturation
of the
recurred liquid water-rich phase, we also investigated the position
of the CO2 Fermi dyad during the whole measurement cycle. Figure shows the position
of the Raman shifts of the upper and lower band of the Fermi dyad
νu and νl of the CO2 measured
in the liquid water-rich phase as a function of temperature representing
one measurement cycle.
Figure 7
Positions of the upper (vu) and lower
(vl) band of the CO2 Fermi
dyad during one measurement cycle.
Positions of the upper (vu) and lower
(vl) band of the CO2 Fermi
dyad during one measurement cycle.The shadowed area corresponds to the double standard deviation
of the measurement points, and the state numbers 1–6 correspond
to those used in Figure . The values of both peaks remain at a constant value for the cooling
process and are in good agreement with values reported in the literature
for CO2 dissolved in water.[38] With hydrate formation the lower band (vl) shifts from 1274 to 1275 cm–1, whereas the upper
band (vu) shifts from 1382 to 1381 cm–1. Keeping in mind that the hydrate gel does not consist
of pure hydrate, meaning that not all CO2 molecules are
incorporated in hydrate cages, but are also dissolved in the included
liquid water-rich phase, the measured Raman shifts from the hydrate
gel cannot reach the Raman shifts reported for pure hydrate, but only
shift toward these values. The Raman shifts of the CO2 Fermi
dyad stay constant at the beginning of heating. With dissociation
of the hydrate phase the Raman shifts move toward those of CO2 dissolved in water. After complete melting of the hydrate,
the positions of the two main peaks of the CO2 Fermi dyad
are slightly higher than the Raman shifts we measured for CO2 dissolved in the liquid water-rich phase during the cooling period
(1 → 2). This can be explained by the existence of liquid CO2-rich micro- and nanodroplets. Because the amount of CO2 contained inside the microdroplets is small, the shift toward
the position of liquid CO2 is also small. Overall, this
finding corroborates the hypothesis that CO2 micro- and
nanodroplets remain in the aqueous phase after the dissociation of
the hydrate phase. According to Uchida et al.[18,19] the memory effect is caused by an excess of guest molecules in the
aqueous phase, namely that MNBs may explain the facilitated formation
of gas hydrates in a solution that has already experienced gas hydrate
formation before.Figure shows the
molar fraction of pure hydrate xH contained
in the hydrate gel at the end of the hydrate formation (state 3) for
different salinities. The temporal evolutions of xH(t) during the formation of the hydrate
gel (2 → 3) are shown for various salinities in the Supporting Information. The maximal fraction
of hydrate in a gel formed from the liquid water-rich phase that did
not contain any salt. From this maximum of 0.175, xH reduces monotonically with increasing salinity until
it reaches a value of 0.075 for the highest analyzed content of NaCl
of 10%. The coefficient of determination R2 of the linear regression (compare Figure b) is very good for all experiments with
values above 0.997.
Figure 8
Molar fraction of hydrate contained in the hydrate gel
for different
salt concentrations.
Molar fraction of hydrate contained in the hydrate gel
for different
salt concentrations.There are two possible aspects causing the diminution of
the molar
fraction of hydrate in the gel. Water molecules are needed for the
dissolution of the Na+ and Cl– ions and
build a hydration shell around the ions inducing subsequent effects:(1) As these molecules are not available for the solution of CO2, the solubility of CO2 in the water-rich phase
decreases. The incorporated guest molecules in the hydrogen-bonded
water structure in a gas hydrate stabilize the gas hydrate crystal.
As fewer CO2 molecules are available for the hydrate formation,
fewer water molecules can be stabilized in a gas hydrate phase with
the result that more liquid water is incorporated in the hydrate gel.(2) As these molecules are also not available for the development
of hydrogen bonds with other water molecules the addition of salt
also leads to a weakening of the hydrogen bond network in the liquid
water-rich phase. As the hydrogen bond network is weaker, the more
salt is dissolved in the liquid water-rich phase, the formation of
a strongly hydrogen-bonded hydrate network is harder to establish.
Conclusion
In this work we presented a method to determine
all at once from
the acquired Raman spectra only (i) the molar fraction of hydrate
contained in the hydrate gel, (ii) the ratio of CO2/water,
and (iii) the states in which CO2 exists in the hydrate
forming systems. The method was applied to investigate the influence
of sodium chloride on the formation of carbon dioxide hydrate. We
showed that the addition of a thermodynamic inhibitor not only changes
the equilibrium conditions of the hydrate formation but also diminishes
the amount of solid hydrate formed. We attributed this effect mainly
to the reduced amount of dissolved carbon dioxide in the water-rich
phase with increasing salinity. With the method presented here other
inhibitors, both thermodynamic and kinetic, can be characterized with
regard to their inhibition effect, meaning their influence on the
conversion from liquid water to hydrate.Additionally we were
able to detect an excess amount of carbon
dioxide in the water-rich phase after complete dissociation of the
hydrate. By determining the position of the carbon dioxide dyad we
provided evidence for the development of a micro- and nanodroplet
emulsion from the dissociation of gas hydrates, which may, at least
partially, explain the memory effect.Basically, it is possible
to apply these techniques to other types
of gas hydrates, if the guest molecule is Raman active. However, it
is possible that a Raman sensor with a higher sensitivity and/or a
higher resolution is needed, as the solubilities of other guest molecules,
like methane or ethane, are considerably lower than the solubility
of carbon dioxide.
Authors: J D Eaves; J J Loparo; C J Fecko; S T Roberts; A Tokmakoff; P L Geissler Journal: Proc Natl Acad Sci U S A Date: 2005-08-31 Impact factor: 11.205
Authors: Helen Thompson; Alan K Soper; Piers Buchanan; Nawaf Aldiwan; Jefferson L Creek; Carolyn A Koh Journal: J Chem Phys Date: 2006-04-28 Impact factor: 3.488