We study the influence of different surfactants on NaCl crystallization during evaporation of aqueous salt solutions. We found that at concentrations of sodium chloride close to saturation, only the cationic surfactant CTAB and the nonionic surfactant Tween 80 remain stable. For the nonionic surfactant, the high concentration of salt does not significantly change either the critical micellar concentration (CMC) or the surface tension at the CMC; for the cationic surfactant, the CMC is reduced by roughly 2 orders of magnitude upon adding the salt. The presence of both types of surfactants in the salt solution delays the crystallization of sodium chloride with evaporation. This, in turn, leads to high supersaturation which induces the rapid precipitation of a hopper crystal in the bulk. The crystallization inhibitor role of these surfactants is shown to be mainly due to the passivation of nucleation sites at both liquid/air and solid/liquid interfaces rather than a change in the evaporation rate which is found not to be affected by the presence of the surfactants. The adsorption of surfactants at the liquid/air interface prevents the crystallization at this location which is generally the place where the precipitation of sodium chloride is observed. Moreover, sum frequency generation spectroscopy measurements show that the surfactants are also present at the solid/liquid interface. The incorporation of the surfactants into the salt crystals is investigated using a novel, but simple, method based on surface tension measurements. Our results show that the nonionic surfactant Tween 80 is incorporated in the NaCl crystals but the cationic surfactant CTAB is not. Taken together, these results therefore allow us to establish the effect of the presence of surfactants on sodium chloride crystallization.
We study the influence of different surfactants on NaCl crystallization during evaporation of aqueous salt solutions. We found that at concentrations of sodium chloride close to saturation, only the cationic surfactant CTAB and the nonionic surfactant Tween 80 remain stable. For the nonionic surfactant, the high concentration of salt does not significantly change either the critical micellar concentration (CMC) or the surface tension at the CMC; for the cationic surfactant, the CMC is reduced by roughly 2 orders of magnitude upon adding the salt. The presence of both types of surfactants in the salt solution delays the crystallization of sodium chloride with evaporation. This, in turn, leads to high supersaturation which induces the rapid precipitation of a hopper crystal in the bulk. The crystallization inhibitor role of these surfactants is shown to be mainly due to the passivation of nucleation sites at both liquid/air and solid/liquid interfaces rather than a change in the evaporation rate which is found not to be affected by the presence of the surfactants. The adsorption of surfactants at the liquid/air interface prevents the crystallization at this location which is generally the place where the precipitation of sodium chloride is observed. Moreover, sum frequency generation spectroscopy measurements show that the surfactants are also present at the solid/liquid interface. The incorporation of the surfactants into the salt crystals is investigated using a novel, but simple, method based on surface tension measurements. Our results show that the nonionic surfactant Tween 80 is incorporated in the NaCl crystals but the cationic surfactant CTAB is not. Taken together, these results therefore allow us to establish the effect of the presence of surfactants on sodium chloride crystallization.
Sodium chloride (NaCl)
is the most abundant salt on earth and its
crystallization is a key factor in many processes. Apart from its
essential role in the food industry, it is one of the key components
for paper and soda ash production. Sodium chloride is also commonly
used in oil well drilling and is the primary deicing compound on roads
during winter with an average use of 10 million tons per year in the
United States and 1 million tons per year in France.[1] For most of the applications, the salt has to be transported
from production to storage locations. Because of the hygroscopic properties
of the salt and with environmental fluctuations of temperature and
relative humidity, the salt grains have the tendency to lump together.
In order to prevent this, additives known as anticaking agents, mostly
ferrocyanides, are added to the salt in order to prevent crystals
from growing together and agglomerating.[2,3] There is still
a large research effort going into the development of new anticaking
agents that do not pose any risk to the environment and our health.Deicing salts on the roads inevitably end up dissolving in water
when the snow and ice melt, and by capillary action invade the groundwater
and subsequently end up in civil engineering structures (i.e., bridges
and buildings) and outdoor artworks. Their presence there can produce
damage; both mass loss and weakening have been reported.[4−9] As an example, chloride corrosion is a major issue for bridges;
the salt solution which penetrates through existing cracks in the
concrete can induce the corrosion of the steel that is used for the
reinforcement.[8,9] Subsequently, the expansive forces
produced from the corroded steel will induce the spalling of the concrete.
Furthermore, with temperature and relative humidity fluctuations,
through evaporation of the water, the dissolved salt can again crystallize
in the porous materials. Direct consequences of crystallization in
such porous media are the reduction of the permeability,[10,11] a major problem in oil recovery and soil mechanics, and the weathering
of the mechanical and physical properties of civil engineering structures
and artworks.[5−7] It has been reported that salt crystallization in
the porous network (i.e., confinement) can lead to the development
of a “crystallization pressure” exerted by the growing
crystal onto the pore walls, that eventually causes disintegration
of the stones.[7,12−14] In order to
mitigate this problem, various strategies have been proposed. A strategy
that has received considerable attention is again the use of additives
that alter the crystallization phenomenon in such a way that it may
prevent the development of the crystallization pressure.[15−18] Among these, surfactant molecules are an important class of additives
that can modify the crystal growth process when present at very small
concentrations, by adsorbing preferentially onto different crystalline
faces. Surfactants or amphiphilic compounds are composed of a hydrophilic
(polar) head and a hydrophobic (nonpolar) hydrocarbon chain. This
configuration enables them to adsorb at the interface between two
immiscible liquids such as oil/water and water/air. Surfactants can
also adsorb at solid–liquid interfaces and may even adsorb
differently on different crystal facets, which has a significant influence
on crystal nucleation and growth.[19−23] Most studies report that the presence of surfactants
inhibits crystallization, but there are also known exceptions in which
to the contrary they increase the nucleation rate. For instance, the
presence of sodium dodecyl sulfate was observed to increase the nucleation
rate of MgSO4.[24] These contradictory
examples suggest that the crystal–impurity interactions are
highly specific and need to be treated individually.[25,26] Even after numerous studies, no conclusive theory has been developed
to predict the influence of surfactants on salt nucleation that allows
one to tailor the surfactants for achieving specific effects on the
formation of salt crystals.In this paper, we study the influence
of different surfactant additives
on NaCl crystallization in confinement during evaporation of the ternary
solutions. To be able to discuss these issues, we first need to consider
the counter-effect of high salt concentrations on the properties of
surfactant solutions themselves. Usually, the properties of ionic
(charged) surfactants are tuned by adding small amounts of salt; in
our case, however, we deal with very concentrated salt solutions close
to the solubility limit of the salts for which not a lot of data can
be found in the literature. We find that only cationic and nonionic
surfactants are stable in solution at these high electrolyte concentrations.
The presence of these surfactants is subsequently shown to inhibit
the precipitation of the salt. This, in turn, leads to high supersaturation,
which changes the dynamics of crystal growth. Another important finding
is that the evaporation of water from the salt and surfactant solutions
is not influenced by the presence of surfactants, contrary to what
is sometimes claimed in the literature.[27−29]
Experimental
Section
Effect of High Salt Concentration on Surfactant Properties
Low concentrations of soluble salts are commonly used to tailor
surfactants properties such as the critical micellar concentration
(CMC), the aggregation number in the micelles, and the equilibrium
surface tension.[30−35] Also in our system, there is one surfactant plus a salt. The presence
of the latter can alter the electrostatic repulsion between the headgroups
(for charged surfactants) and the Debye layer around the micelles,
leading to changes in micelle size and shape.[35] This of course also changes the adsorption and surface tension.
However, there is only a limited number of studies on micelle formation
at concentrations of sodium chloride close to saturation, which is
relevant for crystallization.[36,37] These studies also
discuss the miscibility of salts within the surfactant micelles and
the adsorbed films in order to assess the modified characteristics
of micellar systems by the addition of salt.[37] In principle, the thermodynamic analysis of the surfactant behavior
in the presence of salts can also be used to deduce any possible change
in the composition of micelles,[38] but this
is beyond the scope of the present paper, which focuses on the effect
of surfactants on the crystallization of the salt.In order
to choose our surfactants for the crystallization experiments, we
first tested different type of surfactants: cationic, anionic, and
nonionic for their solution stability (Table ). Ternary solutions of NaCl and surfactant
in water are prepared by first preparing surfactant solutions at their
critical micellar concentration (CMC) followed by adding NaCl (Sigma-Aldrich
purity ≥99%) to a concentration of 5.5 m (molal or mol/kg of
water) which is slightly below the saturation concentration (Cs = 6.14 m). All the anionic surfactants precipitated
upon the addition of salt; the cationic surfactants CTAB and CTAC
remain stable and form transparent solutions. The origin of this interesting
asymmetry between cationic and anionic surfactants is unclear. Among
the nonionic surfactants, Tween 80 is the only one that remains stable
in the presence of high NaCl concentration. The sensitivity to the
salt concentration is found to be different for the anionic and nonionic
surfactants. For example, the threshold concentration for the anionic
one, SDS, is around 0.5 m of NaCl, whereas the nonionic surfactant
Triton-X-100 can stay stable up to 4 m of salt; precipitation is observed
rapidly above these concentrations.
Table 1
Behavior of Different
Surfactants
on High NaCl Concentration (5.5 m)
surfactant
type
CMC
ternary solution in 5.5 m NaCl
Cetyltrimethylammonium bromide (CTAB)-C19H42BrN
Cationic
0.8–1 mM[39]
Transparent
Cetyltrimethylammonium
chloride (CTAC)-C19H42ClN
Cationic
1.3–1.7 mM[39]
Transparent
Sodium Dodecyl Sulfate (SDS)–CH3(CH2)11OSO3Na
Anionic
8–10 mM[40−42]
Precipitation
Ammonium Dodecyl Sulfate
(ADS)-C12H29NO4S
Anionic
6–8 m[43]
Precipitation
Sodium Dodecylbenzenesulfonate(SDBS)-C18H29NaO3S
Anionic
1.4–1.6 mM[40]
Precipitation
Dioctyl sulfosuccinate (AOT)-C20H37NaO7S
Anionic
2–6 mM[44]
Precipitation
Tween 80-C64H124O26
Nonionic
1.5–15 μM[42]
Transparent
Triton-X-100-C14H22O(C2H4O)n (n = 9–10)
Nonionic
0.2–0.3 mM[40−42]
Precipitation
Silwet L-77-C13H34O4Si3
Nonionic
0.23 mM[45]
Precipitation
Consequently, for the
crystallization experiments in the presence
of surfactants only CTAB (Sigma-Aldrich purity ≥99%) and Tween
80 (Ameresco, proteomics grade purity) which make transparent ternary
solutions were chosen (Figure ). The physicochemical properties of CTAB and Tween 80 (Figure ) solutions were
characterized prior to the crystallization experiments.
Figure 1
Surfactants
after addition of 5.5 m NaCl. The transparent solutions
of (a) CTAB and (b) Tween 80 and precipitation with (c) SDS and (d)
Triton-X-100.
Figure 2
Molecular structure of
(a) CTAB and (b) Tween 80.
Surfactants
after addition of 5.5 m NaCl. The transparent solutions
of (a) CTAB and (b) Tween 80 and precipitation with (c) SDS and (d)
Triton-X-100.Molecular structure of
(a) CTAB and (b) Tween 80.The surfactant adsorption at the liquid/air interface was
characterized
by measuring the surface tension γlv and the CMC
of the ternary solutions using a Kruss K100 tensiometer based on the
Du Noüy ring method. The latter is based on measuring the force
to slowly raise a platinum ring, dipped in the liquid, from the liquid’s
surface. The surface tension is then calculated from the diameter
of the ring and the tear-off force. The results as a function of the
concentration were obtained by performing automatic dilutions; we
start at high surfactant concentration at 5.5 m NaCl and dilute with
salt solution at 5.5 m. In this way, the instrument allows us to measure
the surface tension values for very small concentration steps of the
surfactant. As far as equilibration of the solutions is concerned,
for each dilution step, the solution is stirred for 30 s, and the
value of the measured SFT is registered only when the standard deviation
between five consecutive measurements is within 0.1 mN/m. Consequently,
the average total time taken for one measurement is around 10 min
(depending upon how fast the system equilibrates) which is normally
long enough for the equilibration of most the surfactants.The
adsorption at the solid/liquid interface of glass of both surfactants
in the salt solution was studied by performing sum frequency generation
(SFG) experiments. We have probed the CH vibrations of the surfactants
and the OH vibrations of the water molecules at the solid interface.
In this method,[46] a broadband infrared
laser beam exciting molecular vibrations and a narrowband near visible
laser beam are overlapped in space and time at the interface. The
resulting sum-frequency signal is strongly enhanced if the infrared
is resonant with a molecular vibration. Because of its selection rules,
this process is forbidden in centrosymmetric media, like bulk water,
therefore giving the IR spectrum of only interfacial molecules. The
signal intensity is a measure of the amount of order present at the
interface.
Salt Nucleation and Growth Experiments in
the Presence of Surfactants
The primary nucleation and growth
of NaCl crystals was studied
in confined geometry by controlled evaporation of aqueous solutions
under the microscope. The schematic of the setup is shown in Figure . The concentrations
of CTAB and Tween 80 used were 9 × 10 –4 m
and 7.6 × 10–5 m, respectively, both of which
are above their respective CMCs and the NaCl concentration used was
5.5 m which is slightly below the saturation concentration. In order
to observe the influence of surfactants on crystallization, the results
are compared with the evaporation and crystallization of pure NaCl
solution at 5.5 m.
Figure 3
Schematic of the experimental setup used for following
the evaporation
of ternary solutions (initial volume V0) and the crystallization in microcapillary (d =
100 μm). c∞ is the controlled
water vapor concentration of the climatic chamber and c(t) the water vapor
concentration just above the meniscus at time t;
δ(t) is the distance over which water vapor
diffusion takes place during the evaporation from the open side of
the capillary.
Schematic of the experimental setup used for following
the evaporation
of ternary solutions (initial volume V0) and the crystallization in microcapillary (d =
100 μm). c∞ is the controlled
water vapor concentration of the climatic chamber and c(t) the water vapor
concentration just above the meniscus at time t;
δ(t) is the distance over which water vapor
diffusion takes place during the evaporation from the open side of
the capillary.A small volume of salt
solutions with and without surfactants were
introduced by capillary action in cylindrical borosilicate glass microcapillaries
(Vitrocom, d = 100 μm). After closing one of
the sides of the microcapillary using epoxy glue, the capillary was
placed in a controlled miniclimatic chamber held at a constant relative
humidity (RH = 55 ± 2%) and room temperature (T = 22 ± 1 °C).[47] This whole
construction is placed under a Leica DM IRM inverted microscope and
the subsequent displacement of the meniscus resulting from evaporation
is followed with 5× and 10× magnification objectives from
which the change in volume is calculated by analyzing the images taken
by a CCD camera. The latter has a resolution of 800 × 600 pixels
and a 8-bit sensitivity; the time interval between the images was
set to 5 s. The volume variation also allows us to determine the evolution
of the concentration and calculate the supersaturation of the solution
prior to crystallization. Once crystallization happens, the shape
of the crystal and its growth rate are followed during each experiment.
Results and Discussion
Effect of High NaCl Concentration on the
Physicochemical Properties
of CTAB and Tween 80 Solutions
We have measured the surface
tension of CTAB and Tween 80 solutions as a function of concentration
of the surfactants in the absence and presence of NaCl in the solution
(Figure ). Two salt
concentrations were used: a relatively small concentration 0.01 m
and a high salt concentration 5.5 m; the latter is used subsequently
as the initial concentration in the crystallization experiments. The
CMC values obtained for CTAB in water and in brine solution at 0.01
m are seen to be in good agreement with the literature data;[48,49] the addition of NaCl to the CTAB solution drastically shifts the
CMC of CTAB from ∼9 × 10–4 m without
salt to ∼2 × 10–5 m at high NaCl concentration
(5.5 m). In addition to the decrease of the CMC, another important
observation here was that the equilibrium surface tension after the
CMC was seen to be lower γCMC ∼ 32 mN/m at
5.5 m NaCl compared to that of the pure solution of CTAB without salt
(γCMC ∼ 37 mN/m). Interestingly, the slope
below the CMC tells us (using the Gibbs adsorption equation) that
without salt, there is more CTAB present on the interface. The lower
surface tension at the CMC that is observed when salt is added must
then be due to the change in chemical potential of the surfactant
molecules in the bulk due to the presence of salt.
Figure 4
Surface tension as a
function of (a) CTAB and (b) Tween 80 in water
and salt solutions at different concentrations.
Surface tension as a
function of (a) CTAB and (b) Tween 80 in water
and salt solutions at different concentrations.In the case of nonionic surfactants also, studies have reported
that the addition of electrolytes decreases the CMC value,[50] but surprisingly, for the case of Tween 80,
we do not observe a significant change in the CMC (1.5 × 10–5 m) even in the presence of very high salt concentrations.
Also unlike the case of CTAB, there is no observable change of the
surface tension at the CMC upon the addition of salt, γlv-CMC ∼ 42 mN/m.The different behavior
of ionic and nonionic surfactants in terms
of decrease in CMC can be attributed to the fact that addition of
salts in ionic surfactants decreases the electrostatic repulsion between
the head groups, thereby favoring their aggregation.[35] However, in the case of the nonionic surfactant Tween 80,
the repulsion between the head groups is not a limiting factor for
micellization, which is the reason we do not see any change in CMC
upon addition of salt.Therefore, we start our crystallization
experiments with ternary
solutions of CTAB and Tween 80 that have similar CMC, whereas without
salt the CMC of the ionic surfactant is much higher.
Effect of Surfactants
on NaCl Crystallization
For the
crystallization experiments, the volume change during the evaporation
of the solutions inside the microcapillaries is subsequently followed
by recording the displacement of the meniscus while simultaneously
visualizing the onset of crystal growth in the solution directly under
the microscope coupled to a CCD camera. In this way, the evolution
of the concentration with the evaporation up to the crystallization
point can be determined (Figure ).
Figure 5
Evolution of the supersaturation of the solutions with
evaporation
until spontaneous crystallization.
Evolution of the supersaturation of the solutions with
evaporation
until spontaneous crystallization.The first important parameter examined to account for the
influence
of surfactants on the crystallization is the supersaturation, S = c/cs, at
which nucleation takes place (Figure ). The supersaturation is defined as the ratio of the
concentration at the moment of crystallization c to
the saturation concentration cs (6.14
m); thus, the value of the supersaturation gives an indication whether
the nucleation is inhibited or promoted compared to the crystallization
of pure NaCl solution under the same experimental conditions. (Table ) summarizes the mean
value of the supersaturation obtained over ∼20 experiments
for each solution. For a pure sodium chloride solution, the supersaturation
at which the spontaneous nucleation and growth occurs was found to
be S = 1.57 ± 0.1, in agreement with earlier
experiments.[51] In the presence of CTAB
and Tween 80, reproducibly higher supersaturations are reached (Table ). Moreover, in the
presence of surfactants, the variability in the supersaturation in
different experiments becomes smaller. The increase of the supersaturation
in the presence of surfactants suggests that the crystallization is
inhibited by both CTAB as well as Tween 80 in the solution. These
very high supersaturations lead to a rapid growth of the crystal which
favors the formation of only a single crystal in small volume (both
with and without surfactant) with a peculiar hoppered (skeletal) shape[51] (Figure a). The hopper growth is only observed at early times in the
growth process; at later times due to the rapid decrease of the local
supersaturation, the extremities of the hopper crystal will continue
a slower growth as a cubic crystal eating up the smaller cubes attached
to it.[51]
Table 2
Mean Value of Supersaturation Achieved
at the Onset of Crystallization for Pure NaCl and the Ternary NaCl–Surfactant
Solutions
initial solution
supersaturation
(c/cs)
Pure NaCl
Solution (5.5 m)
1.57 ± 0.1
NaCl (5.5 m) + CTAB (9 × 10–4 m)
1.72 ± 0.02
NaCl (5.5m)
+ Tween 80 (7.6 × 10–5 m)
1.78 ± 0.01
Figure 6
First appearance of crystals (5 s time-window)
in (a) pure NaCl
solutions, (b) the multibranched hopper formed in the NaCl solution
with CTAB, and (c) the solution with Tween 80; when the hopper crystal
grows rapidly and reaches the wall of the capillary, a change in the
direction of the branches can be seen. (d,e) Illustration of hopper
crystal with one branch and (e) star-like hopper crystal (multibranched)
formed in bulk in the presence of CTAB and Tween 80.
First appearance of crystals (5 s time-window)
in (a) pure NaCl
solutions, (b) the multibranched hopper formed in the NaCl solution
with CTAB, and (c) the solution with Tween 80; when the hopper crystal
grows rapidly and reaches the wall of the capillary, a change in the
direction of the branches can be seen. (d,e) Illustration of hopper
crystal with one branch and (e) star-like hopper crystal (multibranched)
formed in bulk in the presence of CTAB and Tween 80.Another important observation
here is that in the presence of surfactants
the nucleation happens in the bulk of the solution, in contrast to
the pure NaCl solution where the growth of the crystal takes place
mostly at the liquid–air interface in evaporation experiments
(Figure ).[51−54] This can explain the higher supersaturation reached when surfactants
are added; the nucleation at the interface is heterogeneous, and the
energy barrier for heterogeneous nucleation near a surface is smaller
than that for homogeneous nucleation. In general, nucleation is easier
in contact with a surface; because of geometrical reasons the size
of the critical nucleus is smaller.[55] This
reduction in surface area of the nucleus reduces the height of the
energy barrier that needs to be overcome in order to form the surface
of the growing nucleus.[56−58] The main action of the surfactant
is then to passivate this liquid–air interface, i.e., passivation
of this interface when surfactants are present leads to a higher supersaturation
before nucleation to takes place.To show that the surfactants
also passivate the solid–liquid
interface, sum frequency generation (SFG) experiments were performed. Figure shows SFG spectra
for the glass surface in contact with different salt solutions with
and without surfactants. For the case of water and the pure salt solution
there is no CH vibration visible in the range between 2800 and 3000
cm–1. Between 3000 and 3300 cm–1 the broad water band is visible. The water signal is very low for
the salt case, because the salt screens the negatively charged SiO2 surface and thereby reduces the order of the water molecules
and thus the SFG signal. In the cases of Tween 80 + NaCl and CTAB
+ NaCl, weak but clear peaks are visible in the range of 2900 to 2970
cm–1. This is a clear indication that both the nonionic
Tween 80 as well as the cationic CTAB are present at the solid surface.
Figure 7
SFG spectra
for different salt solutions in contact with a glass
(SiO2) window. The water curve has been multiplied by 0.2
to make the intensity comparable to that of the other curves.
SFG spectra
for different salt solutions in contact with a glass
(SiO2) window. The water curve has been multiplied by 0.2
to make the intensity comparable to that of the other curves.Moreover, our results show that
surfactant molecules or micelles
in the solution do not act as nucleation sites in these experiments.
If this was really the case, it should make nucleation more favorable,
and consequently spontaneous precipitation and growth should be seen
at lower supersaturation compared to pure NaCl. We observe, to the
contrary, that with surfactants the nucleation is rather inhibited
(higher supersaturation are reached prior to nucleation).The
nucleation at a higher supersaturation results in the observed
multiple branched “star-like” hopper crystals because
of the precipitation of new cubic crystals on the edge of the pre-existing
cubic nucleus in the bulk. Because the rapid growth of the hopper
crystal is unchanged in the presence of Tween −80 and CTAB,
their adsorption to the supercritical nuclei limiting the growth is
excluded by our observations.It is well-known that in salt
solutions the evaporation rate could
be another key factor determining the supersaturation at which nucleation
takes place.[51,56,59] If the nucleation happens at the liquid meniscus, such as for the
pure NaCl solution, it could be that the local supersaturation is
higher in this region as the evaporation takes place at the liquid/air
interface. If the evaporation is faster than the ion transport in
the solution, a concentration gradient can develop close to the meniscus
with a higher local concentration that can lead to an increase of
the nucleation rate.We therefore examine the influence of CTAB
and Tween 80 on the
evaporation rate of NaCl solution. It has been suggested by some authors
that surfactants, by virtue of their partitioning at the interface,
can block the evaporative surface, thereby leading to slower evaporation
rates in cases of droplets, microcapillaries, as well as flat surfaces.[27−29,60,61]The variation in volume of the solution in the cylindrical
capillary
is followed throughout the evaporation process; the evaporation rate
dV/d (m3/s) is shown in Figure . For all cases, a decrease in the evaporation in time is observed.
However, no change is observed in the evaporation rate when CTAB surfactant
is added to water and to the salt solution. This is in fact not so
surprising if one notes that in general for the evaporation of water
the diffusion of water molecules through the vapor is the rate-limiting
step:[51,62−64]where e is the evaporation
flux density; ρg the vapor density; D the diffusion coefficient of water vapor through the gas; c∞ the controlled water vapor concentration
of the climatic chamber (55%) and ci the
water vapor concentration just above the meniscus; δ is the
distance over which diffusion takes place (Figure ). We conclude that the surfactants do not
have any significant influence on the evaporation rate. It is clear
from eq and Figure that the drying
rate is controlled by δ and (ci –
c∞). For water, the equilibrium vapor pressure above
the meniscus remains constant and only δ will change over time
with the displacement of the meniscus. This is the only reason for
the decrease of the evaporation rate in time in the case of water.
However, for salt solutions, apart from increasing δ, the second
reason responsible for the decrease in the evaporation rate is the
increase of salt concentration in time, which also changes the equilibrium
vapor pressure above the meniscus ci(t) and the density of the liquid ρl(t). Subsequently, eq written in terms of time giveswhere is the evaporation rate; ρg the
density of the gas phase; ρl the density of
liquid phase; D the diffusion coefficient of water
through the vapor; ci the water vapor
mass fraction above the interface; c∞ the water vapor mass fraction outside the capillary; δ0 the initial vapor diffusion distance of meniscus; A the cross-sectional area πr2 (r is the radius of the capillary). As can
be seen in Figure , the model based on such diffusive transport describes the data
very well, and for salt solution with and without surfactant, the
decrease of the evaporation rate in time is therefore due to the effects
of both δ and (ci – c∞). Also, in agreement with this idea,
the small characteristic dimension of our samples and the very slow
evaporation rates ensures the homogeneity of solutions. Quantitatively,
the heterogeneity in ion distribution in a solution can be inferred
from the Peclet number, which is defined as the ratio of the convective
and diffusive transport of ions in the solution. Since the Peclet
number depends on the concentration of ions and the size of the system,
in evaporating systems, it is time-dependent and changes as the evaporation
progresses:where the diffusion time tdiff = z2/DNaCl and the
convection time ts = z/(dz/dt); z is
the length of the solution cylinder at time t and DNaCl is the diffusion
coefficient.[64] For pure NaCl solution as
well as with CTAB and Tween 80, the values of Peclet number were found
to be on the order of 10–3 to 10–4 at the point of crystallization.
Figure 8
Microcapillary experiments (at T = 21 °C,
RH = 55% ± 2): evolution of the evaporation rate for water and
brine with and without surfactants (CTAB and Tween 80). The continuous
line corresponds to the model based on diffusive transport (eq ). The surfactant has no
impact on the evaporation rate. The slight differences are mainly
due to slight fluctuations of the experimental conditions in different
microcapillaries (notably the distance between the meniscus and the
outlet of the capillary and the relative humidity (±2%).
Microcapillary experiments (at T = 21 °C,
RH = 55% ± 2): evolution of the evaporation rate for water and
brine with and without surfactants (CTAB and Tween 80). The continuous
line corresponds to the model based on diffusive transport (eq ). The surfactant has no
impact on the evaporation rate. The slight differences are mainly
due to slight fluctuations of the experimental conditions in different
microcapillaries (notably the distance between the meniscus and the
outlet of the capillary and the relative humidity (±2%).Finally, we have determined with
a simple method whether besides
their role as nucleation inhibitor the micelles are incorporated within
the crystal structure of sodium chloride because of its rapid growth.
It has been shown by AFM experiments that for calcite crystals, micelles
can be entrapped during growth because they bind specifically to steps,
enabling successive steps to close around them.[20,65] It is reported that such incorporation can even increase at higher
growth rates because of the greater rate of step generation with increasing
supersaturation.[66]To see whether
this is also the case in our experiments, we perform
bulk evaporation experiments in the same evaporation conditions, to
have a larger quantity of crystal than in the microcapillary experiments.
In the bulk experiment, we observe the same trend: CTAB and Tween
80 inhibit the nucleation process; i.e., crystal precipitation occurs
sooner in a pure salt solution. The CTAB/NaCl solution is the next
one to crystallize and Tween 80 the final one. Subsequently, the precipitated
crystals (Figure )
were collected, rinsed with a saturated sodium chloride solution,
weighed, and dissolved in water to obtain NaCl solutions at concentration
of 5.5 m. The rinsing with salt solution allows removal of physisorbed
surfactant molecules from the crystal surface. The chemistry of the
NaCl crystal surface and the functional groups at the hydrophilic
head of the surfactant molecules makes it very unlikely for any chemisorption
to take place. The pendant drop method employing a Kruss Easy-Drop
instrument is used then to measure the surface tension of the resulting
solutions obtained by the dissolution of the crystals. If surfactants
are incorporated in the crystal, they will redissolve and lower the
surface tension; if not, the surface tension will be that of the 5.5
m salt solution.
Figure 9
Dynamic surface tension measurements using pendant drop
technique
of salt solutions (5.5 m) made by the dissolution of crystals: A,
B, and C in water. The precipitated crystals were collected, rinsed
with saturated sodium chloride solution, weighed, and dissolved in
water to obtain a solution at concentration of 5.5 m. The measurements
were done at 75% relative humidity in order to avoid any evaporation
process and concentration change, which could affect the value of
the surface tension during the measurement time.
Dynamic surface tension measurements using pendant drop
technique
of salt solutions (5.5 m) made by the dissolution of crystals: A,
B, and C in water. The precipitated crystals were collected, rinsed
with saturated sodium chloride solution, weighed, and dissolved in
water to obtain a solution at concentration of 5.5 m. The measurements
were done at 75% relative humidity in order to avoid any evaporation
process and concentration change, which could affect the value of
the surface tension during the measurement time.Our results show that the surface tension of salt solution
made
by the crystal collected from CTAB solution, within the experimental
resolution, is identical to the surface tension of pure NaCl solution
at 5.5 m (∼80 mN/m) indicating the absence of any CTAB in the
collected crystal. However, in the case of the solution made by the
crystal collected from the Tween 80 solution, a lower surface tension
of ∼64 mN/m is measured which clearly reveals the presence
of Tween 80 molecules in the solution after the dissolution of the
crystal (Figure ).
The surface tension measurement by the pendant drop technique is therefore
an easy way to obtain information on the interaction/incorporation
of surfactants in salt crystals. In the context of crystallization
damage, such incorporation can alter the mechanical properties of
the crystallized salt. In the context of biomineralization, differences
between different surfactants such as the one observed here can perhaps
be useful to elucidate the conditions under which incorporation occurs.
Conclusion
In this paper, we present results on the evaporation
of ternary
solutions of surfactants and NaCl at high salt concentrations until
crystallization occurred. The anionic surfactants tested in this study
are found to be incompatible with highly concentrated NaCl solutions:
they precipitate. On the other hand, the cationic surfactants CTAB
(and CTAC) and the nonionic surfactant Tween 80 form homogeneous ternary
solutions. The high electrolyte concentration reduces the CMC value
and the surface tension at CMC of the cationic surfactant; no change
is observed for the nonionic. Our results show that the evaporation
rate is not affected by the presence of surfactants as the evaporation
rate is controlled by diffusive transport through the gas phase.The presence of both surfactants in the salt solution delay the
crystal nucleation by a significant amount leading to a high supersaturation
prior to precipitation during evaporation. This inhibitor role seems
to be due to a passivation of nucleation sites, i.e., the availability
of the liquid/air and solid/liquid interface. It follows from thermodynamic
considerations that the free energy for the nucleation process mediated
at a surface can be roughly half of that required to nucleate in the
bulk,[55,57,58] which provides
a plausible explanation for the higher supersaturations reached when
nucleation at the solution/air or solid/liquid interface is prevented
by the presence of surfactants there. The high supersaturation has
the consequence that in the first seconds of precipitation the rapid
growth of one “star-like” hopper crystal is observed
in the solution. Because the nucleation occurs in the bulk, the higher
the supersaturation is, the more branched the hopper crystal appears.
Even though the growth of the nucleus is very fast, the incorporation
of surfactant micelles in the crystalline structure depends on the
nature of the surfactant. Surface tension measurements have been used
as a simple and accurate method to get information on the interaction/incorporation
of surfactants in the crystalline structure. Our results show that
the nonionic Tween 80 surfactant is incorporated in NaCl crystals.
The cationic surfactant is not, which could be due to some electrostatic
repulsion between the negatively charged surfaces of the NaCl crystal[12] and the cationic micelles surrounded by chlorine
ions.The incorporation of copolymer micelles in calcium carbonate
crystals
has been used as a simple model to understand biomineral formation;
a mechanism of occlusion within single salt crystals has been proposed
recently to describe this.[20,65] The results reported
in this paper bring some new insights on the role of surfactants on
the kinetics of salt precipitation at high electrolyte concentration
and their interaction with the crystalline structure.
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