Titre:
The Apparent Structural Hydrophobicity Of Cellulose Nanocrystals
Title:
Auteurs: Charles Bruel, Quentin Beuguel, Jason Robert Tavares, Pierre J.
Authors: Carreau et Marie-Claude Heuzey
Date: 2018
Type: Article de revue / Journal article
Bruel, C., Beuguel, Q., Tavares, J. R., Carreau, P. J. & Heuzey, M.-C. (2018). The
Référence: Apparent Structural Hydrophobicity Of Cellulose Nanocrystals. J-FOR The Journal
Citation: of Science and Technology for Forest Products and Processes, 7(4), p. 13-23.
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THE APPARENT STRUCTURAL HYDROPHOBICITY OF
CELLULOSE NANOCRYSTALS
Authors : Charles Bruel, Quentin Beuguel, Jason R. Tavares, Pierre J. Carreau, Marie-Claude Heuzey.
Research Center for High Performance Polymer and Composite Systems (CREPEC), Chemical Engineering
Department, Polytechnique Montreal, PO Box 6079, Stn Centre-Ville, Montreal, QC H3C 3A7, Canada.
Abstract: The Teas graph of wood-based sulfuric acid-hydrolyzed cellulose nanocrystals (CNCs) was plotted
based on sedimentation tests in a set of 25 common solvents. Comparisons with those of sucrose and dextran,
taken as equivalents for cellobiose (cellulose repeating unit) and amorphous cellulose, respectively, highlighted
the amphiphilic nature of CNCs. In the absence of any chemical arguments, the hydrophobic behavior displayed
is thought to be caused by the exposition of (200) lattice planes at the CNC surface. This apparent structural
hydrophobicity may be exploited to achieve the dispersion of CNCs in some mildly-non polar matrices such as
poly(ethylene glycol) and poly(lactic acid). The Teas graph is a useful tool to predict the dispersibility potential
of CNCs and to select a proper solvent for nanocomposite preparation
Keywords: Biomaterials; Nanocomposites; Cellulose nanocrystals; Hansen solubility parameters; Teas graph.
INTRODUCTION
Cellulose is one of the most abundant biopolymers on earth as it may be found in land plants, algae, bacteria,
fungi, and sea animals such as tunicates [1, 2]. Wood, however accounts for 93 % of the industrial needs in
cellulosic fibers [3]. Cellulose coexists in the latter with hemicellulose, lignin and extractives [1, 4]. The largest
cellulose-only elements in plants are called elementary microfibers [5]. Although the debate is not settled yet,
biological observations suggest that, in wood and in most land-plants, they are made of ~36 cellulose chains,
corresponding to a cross section of roughly 10 to 15 nm2 [6, 7, 8]. Any material resulting from the aggregation
of a few adjacent elementary fibers is called a cellulose nanofiber (CNF). These CNFs are arranged in successions
of crystalline and amorphous sections of cellulose chains, where crystalline parts account for the rigidity of the
elementary fibers, while amorphous ones account for their normal flexibility [1]. Cellulose nanocrystals (CNCs)
are the particles obtained by the extraction of the crystalline regions of the CNFs, usually through an acid
hydrolysis [1, 9]. CNCs and CNFs are both labelled as nanocellulose.
Long restricted to laboratory uses [10], nanocellulose is now producible at industrial scale and represents a new
outlet for the pulp and paper industry. Canada is at the forefront with industrial units for the production of CNFs
by Kruger Biomaterials (www.biomaterials.kruger.com) in Trois-Rivières (Québec, Canada, maximum
production capacity of 5 tons per day) and of CNCs by Celluforce (www.celluforce.com) in Windsor (Québec,
Canada, maximum production capacity of 1 ton per day) [9, 11]. Its main markets in 2017, in term of value, are
those of composites (30 %), of paints, films, and coatings (15 %), and of pulp and papers (14 %) [10]. Composites
indeed represent a natural application for nanocellulose and especially for CNCs, which have a theoretical
Young’s modulus of 208 GPa in the cellulose chain direction [12] thanks to their high crystallinity [13]. Its
Young’s modulus is close to that of steel [2]. Experimentally a value of 105 GPa was obtained through Raman
spectroscopy [14]. These high mechanical properties, coupled with their light density (~1.605 g·cm-3) [2, 7, 15,
16], make CNCs an interesting biosourced nanofiller for reinforcement of polymers [1, 17, 18].
Focusing on wood-based CNCs, the main issue lies with their low affinity for conventional non-polar matrices
such as poly(propylene) (PP) [19]. Good dispersion results have, however, been reported in the case of some
mildly non-polar systems such as poly(ethylene glycol) (PEG) [20, 21, 22, 23] or poly(lactic acid) (PLA) [24, 25,
26], as well as for polar matrices such as poly(vinyl alcohol) (PVOH) [27]. An efficient tool is lacking to compare
these dispersion results and assess the dispersibility potential of CNCs in polymer matrices.
Hildebrand proposed a thermodynamic approach to quantify the affinity -the cohesion- of molecules with their
environment [28]. The Hildebrand solubility or cohesion parameter, δT (MPa1/2), is defined as the square root of
the cohesive energy density, CED (MPa), itself the ratio of the total cohesive energy of the system, ET (J),
normalized by the molar volume of the compound, Vm (m3·mol-1), to avoid size effects (Eq. 1) [29]. Building on
Hildebrand’s work [28], Hansen proposed in the sixties a way to split the cohesive energy into its three main
components ED, EP, and EH (J), resulting respectively from the dispersion forces, the dipole-dipole and the
hydrogen bonding interactions [29, 30, 31]. The corresponding Hansen solubility parameters (HSP) are labelled
δD, δP, and δH (MPa1/2). They are linked to Hildebrand’s parameter via Eq. 2. Initially developed to characterize
the solubility of dyes and pigments in the paint industry, HSP have proven to be relevant to other industries since
then [29]. Teas proposed to represent HSP as their percent fractions in a triangular graph to ease their
visualization (Eqs. 3 to 5) [33].
*
𝛿" = √𝐶𝐸𝐷 = ),+
(1)
𝛿". = 𝛿/. + 𝛿1. + 𝛿2.
(2)
𝑓/ = 100
67 8 69 8 6:
67
(3)
𝑓1 = 100
67 8 69 8 6:
69
(4)
𝑓2 = 100
67 8 69 8 6:
6:
(5)
-
This approach may prove to be pertinent in the field of nanocellulose composites. Recently, the group of
Youngblood [34, 35] published Teas graphs for the characterization of CNCs and functionalized CNCs based
on sedimentation tests in various solvents. Although these pioneering works establish the potential of HSP as a
tool to determine the affinity of CNCs for exogenous media, the low number of solvents tested (5 to 9) [34, 35]
as well as the methodology employed do not allow for any conclusions. Indeed, while sedimentation is an
effective test to characterize the HSP of fillers and particles, absolute sedimentation times, tsed (h), have to be
corrected by the difference in densities between the solid, ρp (g·cm-3), and the solvent, ρs (g·cm-3), and by the
solvent viscosity, ηs (mPa·s) [29]. This correction insures that what is measured is the affinity of the solid for the
surrounding media and not the differences in densities or in viscosities within the set of solvents. Sedimentation
tests must thus be compared for a same relative sedimentation time, RST (s2·m-2). Corresponding absolute
sedimentation times, tsed (s), may be calculated according to Eq. 6 [29].
𝑡<=> = 𝑅𝑆𝑇
BC
DE FDC
(6)
Here, we report the Teas graph of wood-based sulfuric acid-hydrolyzed CNCs in a large set of 25 solvents. We
compare our results with those published in the literature [31] for sucrose and dextran (Fig. 1). They are
respectively considered as equivalent to cellobiose, the repeating unit of cellulose, and to amorphous cellulose
[29]. We aim at understanding the influence of the chain crystalline molecular assembly over their dispersibility
potential. Finally, through the example of a water based CNCs/PEG solvent casting, we provide a demonstration
of how Teas graphs may be used to elaborate protocols for the dispersion of CNCs in polymer matrices.
Fig. 1 – Chemical formulae of sucrose, dextran, and cellulose. Dextran is a branched polymer of
anhydroglucose units linked either in α-1,6, or both in α-1,6 and α-1,3. It is an equivalent of amorphous
cellulose [29, 31]. Cellulose is a polymer of cellobiose, itself a dimer of β-1,4-anhydroglucose rings [1].
Sucrose is used as an equivalent of cellobiose.
MATERIALS
Cellulose nanocrystals, produced from the sulfuric acid hydrolysis of Kraft wood pulp, followed by neutralization
with sodium hydroxide (NaOH), were provided by Celluforce (Montréal, QC, Canada), as a spray-dried powder.
X-Ray energy dispersive spectroscopy (EDX) measurements through a Tabletop Hitachi TM3030+ scanning
electron microscope (SEM) operating at 15 kV determined that there are 3.4 sulfate half ester groups (O-SO3H)
per 100 anhydroglucose units [36]. The average length L0 ~ 165 nm and width l0 ~ 13 nm of CNC nanoparticles
were obtained based on the measurements of at least 100 individual particles diluted at 0.001 wt% in water, using
transmission electronic microscopy (TEM) with a bright field imaging Jeol JEM 2100F, operating at 200 kV [36].
The density of CNC was assumed to be 1.605 g.cm-3. Particles were employed as received without any pretreatment. In his original work, Hansen used dextran C (British Drug Houses) and commercially available sucrose
[31]. Purified Milli-Q water at a resistivity of 18.2 MΩ.cm was used. Solvents were purchased at high purity grades
from commercial suppliers. Their densities and viscosities were taken from the literature and are reported in the
appendices. Poly(ethylene glycol) (PEG) was purchased from Sigma Aldrich (Oakville, ON, Canada),
characterized, from the technical data sheet, by a density of 1.14 g.cm-3 and a number average molar weight of
20,000 g.mol-1.
PROTOCOLS
Sedimentation tests
0.1 g of CNCs were dispersed in 10 mL of the different solvents in a glass container with a radius of 2.1 cm,
placed in an ice bath to avoid overheating, through an ultrasonic treatment at a frequency of 20 kHz, a power of
~25 W applied with a pulse cycle of 5 s ON and 2 s OFF for a total energy of 10,000 J·gCNCs-1. The resulting
CNC suspensions (10 mg·mL-1) were allowed to rest at 25 °C for a relative sedimentation time RST = 5.9×1010
s2·m-2. This corresponds for instance to an absolute sedimentation time, tsed, of 6.0 h in acetone, 24 h in water,
or 568 h in ethylene glycol (Table 1).
Nanocomposites preparation
2 g of CNCs were dispersed in 38 mL of Milli-Q water, leading to a concentration of 5.2 mg·mL-1, in a glass
container with a radius of 2.1 cm placed in an ice bath to avoid overheating, using an ultrasonic treatment at a
frequency of 20 kHz, a power of 50 W applied with a pulse cycle of 1 s ON and 1 s OFF for a total energy of
10,000 J·gCNCs-1. The CNC/water suspension was mixed in a PEG/water solution so that the final weight
concentration of CNCs and PEG were 0.1 and 40 wt%, respectively. The suspension was then diluted one
hundred times with water in order to obtain a thin film after drying a droplet for 30 min at room temperature.
Evaporation of the water yields a nanocomposite of PEG filled with 0.25 wt% of CNCs. The nanocomposite
was observed using a bright field imaging Jeol JEM 2100F TEM, operating at 200 kV. Beuguel et al. performed
the rheological characterization of these CNCs/PEG nanocomposites [23].
RESULTS AND DISCUSSION
Sedimentations tests
Pictures of the different vials (see appendices) were taken on 3 different backgrounds and a qualitative grade was
attributed to the different dispersion states. Four different behaviors were observed for CNCs, from best (3) to
worst (0) dispersibility (Fig. 2, Table 1):
3-Good dispersion: no sediment at the bottom of the vial and the suspension is transparent.
2-Partial dispersion: a sediment is present at the bottom of the vial and the suspension is opaque.
1-Weak dispersion: a sediment is present at the bottom of the vial and the suspension is slightly turbid.
0-No dispersion: a sediment is present at the bottom of the vial and the suspension is transparent.
Fig. 2 – Dispersibility scale for sedimentation tests. From left to right, and from the best to the worst, 4
levels of dispersion were observed: 3-good, 2-partial, 1-weak, and 0-none. Pictures were taken on
different backgrounds (from top to bottom) to help with the evaluation. Solvents presented here are
from left to right: dimethylsulfoxide, N,N-dimethylformamide, 1-propanol, and 1,4-dioxane.
Data for sucrose and dextran were extracted from the literature [31]. It should to be noted that in his original
work, Hansen distinguished between 6 different levels of dispersibility [31]. On his scale, 1 was the best, followed
by 2, 3, 4, 5, and 0 in this order. 0 corresponded to the worst dispersibility. Comparing different qualitative scales
is always tedious. Fortunately, while some of the materials tested by Hansen exhibited intermediate behaviors
(grades 2 to 5), it was not the case for sucrose and dextran, for which dispersion was either found to be optimal
(grade 1) or minimal (grade 0) [31]. The only assumption needed to compare the results is thus that best (this
work’s grade 3) means best (Hansen’s grade 1) and that worst (this work’s grade 0) means worst (Hansen’s grade
0).
Teas graphs
As expected for these hydroxyl-rich molecules, good solvents for sucrose and dextran are concentrated in the
polar region of the Teas graph (low dispersion parameter -fD- area, which translates into high polar and hydrogen
components -fP+fH-, Fig. 3.a&b). Dispersion results are very similar for dextran when compared to sucrose, with
only one poorer solvent, the dimethylformamide [31]. This results into slightly higher HSP for dextran, which is
consistent for the comparison of a polymer to its monomer [29], even though sucrose is not the monomer of
dextran, nor of cellulose, just another sugar of similar size. Results for CNCs, however, provide a totally different
graph (Fig. 3.c). The best dispersibilities (grade = 3) were here again observed for polar solvents. However, while
Hansen found no difference for dextran and sucrose dispersibility among non-polar solvents despite a fine 6
levels scale [31], we observed a sharp gradient in sedimentation states. Dispersion was clearly improved for some
mildly non-polar solvents (grade = 2: chloroform, methylene dichloride) while another level of weak dispersibility
(grade = 1) was observed for some intermediate solvents such as mono-alkanols, ketones, ethyl acetate and
tetrahydrofuran (THF). Poor solvents (grade = 0) are the less polar ones with fP and/or fH below 10 % (heptane,
cyclohexane, toluene, 1,4-dioxane, propylene carbonate…). Ethylene glycol and benzyl alcohols, two solvents
with relatively low fP (< 20 %) and high fH (> 35 %), also received a 0 grade. Generally speaking, best solvents
(grades 2 and 3) are those for which fD < 70%, fP > 10% and 20 % < fH < 40%. Three areas of dispersibility may
be plotted from data of Fig. 3.c. They are obtained by straight-linking together the points made by the solvents
of same or higher grades in the Teas graph. They correspond respectively to grades 3 (in green), 3+2 (in
green+blue), and 3+2+1 (in green+blue+pink) as shown in Fig. 3.d. They highlight a peak of dispersibility toward
non-polar solvents. Poor solvents are also represented in Fig. 3.d to emphasize the fact that the regions of the
graph for which fD < 30%, fP > 45 % or fH < 10 % have not been probed. Indeed, there are only very few
common solvents corresponding to these criteria [29, 32]. The areas plotted are thus minimum dispersibility areas
and may be extendable to these non-tested regions.
Fig. 3 – Teas graphs of sucrose (a), dextran (b), and wood-based sulfuric acid-hydrolyzed CNCs (c). fD,
fP, and fH, stand respectively for the fraction percents of the dispersion forces parameter, δD, the dipoledipole (or polar) interactions parameter, δP, and the hydrogen bonding interactions parameter, δH (Eqs.
3 to 5). Solvents are plotted according to their grade over the dispersibility scale, from best to worst: 3
(green circles), 2 (blue triangles up), 1 (pink triangles down), 0 (red squares). (d) Minimum dispersibility
areas that may be extrapolated from the Teas graph of CNCs (c). Poor solvents probed are represented
on the graph to emphasize the fact that some areas of the graph remain unexplored. Some common
polymers (PVOH, PEG, PLA, and PP) in which dispersibility results of wood-based sulfuric acidhydrolyzed CNCs are available have been represented on the graph. HSP data are extracted from the
HSPiP software database [32].
Cellulose nanocrystal apparent structural hydrophobicity
The results presented in the previous section need to be justified. Indeed, there is no chemical reason for which
CNCs should be more hydrophobic than dextran, the equivalent of amorphous cellulose. The only chemical
difference lies in the presence of sulfate groups at the surface of the sulfuric acid-hydrolyzed CNCs [13, 37].
However, such groups, if their influence is felt, are expected to increase, not reduce, the polarity of the
nanocrystals surface. It should be noted that an affinity of some allomorphs of crystalline cellulose for non-polar
compounds has already been reported previously: be it the stable dispersion of cellulose Iβ nanocrystals in
chloroform [38, 39] or the specific interactions of regenerated cellulose II with hydrophobic solvents such as
toluene [40] or cyclohexane [41]. If no chemical argument can explain why cellulose Iβ nanocrystals are more
hydrophobic than amorphous cellulose, then there has to be a structural argument. Details about the molecular
assembly of cellulose chains may be found in the literature [5, 7]. Cellulose chain hydroxyl groups are all oriented
in the equatorial plane of the anhydroglucose rings [42, 43]. In cellulose Iβ, the OH-O hydrogen bonding network
forms in this plane and cellulose units thus assemble in sheet-like structures, which stack up due to weak van der
Waals interactions and CH-O hydrogen bonds (Fig. 4) [42, 44]. The resulting Iβ monoclinic crystal units possess
3 main lattice planes perpendicular to cellulose chains’ direction [16]: (110), (11G0) and (200). The (200) plane is
parallel to the sheets formed by cellulose chains while (110) and (11G0) planes cut them. As a result, surfaces
corresponding to the former mostly bare CH bonds while those corresponding to the latter bare hydroxyl groups,
hence a difference in polarity between them.
Molecular dynamic simulations suggest that (110) and (11G0) surfaces have roughly the same hydrophilicity [45,
46] and computed surface energies (155 mN·m-1 for both) [41], while the (200) surface is much more hydrophobic
[45, 47] with a lower computed surface energy (92 mN·m-1) [41]. Molecular dynamic simulations of the wetting
properties of the (110) and (200) surfaces yielded a contact angle with water of 43° and of 95°, respectively [47].
The hydrophobic behavior observed for CNCs in Fig. 3.c&d could thus be explained by the exposure of (200)
lattice planes of the surface of the nanocrystals. It is expected for Iβ cellulose based on crystallographic
measurements [48, 49] of sulfuric acid-hydrolyzed particles and on atomic force microscopy (AFM) visualization
of untreated cellulosic fibers [8]. In the latter case, the model results were also confirmed by biological
observations [8, 50, 51] and the model predicts hexagonal shaped crystallites, each displaying two (110), (11G0),
and (200) surfaces (Fig. 4).
Such a structural hydrophobicity is a behavior that cannot be observed for amorphous cellulose (dextran, Fig.
3.b). Indeed, it is the anisotropic molecular assembly of cellulose chains in sheet-like structures that keeps all the
hydroxyl groups parallel to the (200) lattice plane, where they are engaged in the hydrogen bonding network, and
all the more hydrophobic CH bonds perpendicular to it. The cellulose monomer (sucrose equivalent) thus has
wetting properties similar to those of amorphous cellulose (dextran equivalent), but the crystallization of the
chains leads, at least for the Iβ allomorph, to the display of a hydrophobic behavior caused by the molecular
assembly within the nanocrystals. This is the most reasonable conclusion that can be drawn from our results
based on a screening of the literature.
Fig. 4 – Ding and Himmel’s model for cellulose chains molecular assembly [8]. Each grey rectangle
represents a cellulose chain cut perpendicular to its main direction. In cellulose Iβ crystalline unit cells
(in red), chains assemble in sheet-like structures whose cohesion are ensured by intersheet OH-O
hydrogen bonds and by weaker intrasheet CH-O bonds and van der Waals interactions. Three kind of
I0) lattice planes cut the
surfaces are exposed by the crystallites: those parallel to the (110) and (1
cellulose sheet planes and thus expose OH groups, while the one parallel to the (200) lattice plane
mostly exposes CH groups. Adapted from Li and Renneckar [44], Ding and Himmel [8], Moon et al.
[7], and Nishiyama et al. [16].
Nanocomposites solvent casting
Having established that CNCs display an apparent structural hydrophobicity, which results in an affinity for some
mildly non-polar solvents, it should be possible to exploit this peculiarity to favor solvent casting of
nanocomposites. Indeed, polymers may also be represented in Teas graphs (Fig 3.d) [29, 32]. PVOH is at the
border of the best dispersibility area (in green, grade = 3), which makes sense given that it is often presented as
one of the best matrix for CNCs nanocomposites [1]. At the opposite, PP, in which CNCs dispersion is poor
[19], is far outside any dispersibility area. As for the paint industry [29, 33], it thus seems that Teas graphs may
represent an effective way to estimate the dispersibility potential of CNCs in various matrices. PLA, for instance,
is bordering the partial dispersibility area (blue, grade = 2) and is a good medium for the dispersion of CNCs [24,
25, 26]. To produce CNCs/PLA nanocomposites, Bagheriasl et al. [25] first dispersed CNCs in DMF (solvent
grade = 2), then added PLA upon stirring at 70 °C. Evaporation of the DMF yielded a nanocomposite thin film
in which CNCs were dispersed individually.
PEG is just at the border of the solvent weak dispersibility region (pink, grade = 1) and it should be possible to
apply a procedure similar to the one of Bagherials et al. [25] to disperse CNCs in PEG through solvent casting.
The first step is to choose a good common solvent. To favour the dispersion of CNCs, it is preferable to pick
one that belongs to the best dispersibility area such as DMSO, formamide, ethanolamine, or water. The good
miscibility of PEG with water [52] makes it a natural choice for ecological issues. CNCs were thus dispersed in
Milli-Q water at 5.2 mg·mL-1 via an ultrasonic treatment and diluted in a PEG/Milli-Q water solution. Water
evaporation resulted in a CNCs (0.25 wt%)/PEG nanocomposite thin film. Transmission electronic microscopy
reveals an individual dispersion of the nanoparticles (Fig. 5), forming an apparent percolated network from a
very low CNC concentration, which is consistent with previous reports by Xu et al. [21] for CNCs (1 to 10
wt%)/PEG nanocomposites obtained through water casting. Beuguel et al. performed a detailed rheological
characterization of these water-casted CNCs/PEG nanocomposites [23]. They confirmed the good dispersion
of the CNCs within the PEG matrix and demonstrated that a percolated network formed at volume fractions of
CNCs as low as 0.15 vol% [23].
Through these examples we illustrated the potential of Teas graphs to characterize the surface chemistry of
CNCs, predict their dispersibility, and choose a good solvent for a nanocomposite preparation. Previous work
led by the group of Youngblood [34, 35] suggests that this method may be applicable to functionalized CNCs as
well. It has to be noted that the HSP method can be applied to plot data for solvent mixtures in Teas graphs [29,
32], which opens a whole new range of possibilities for solvent casting processes.
Fig. 5 – Transmission electronic imaging of a 0.25 wt% CNC/PEG nanocomposite thin film.
CONCLUSION
Cellulose nanocrystals exhibit an affinity for some mildly non-polar solvents for which dextran and sucrose,
respective equivalent of amorphous cellulose and cellobiose, do not. While surface sulfatation, resulting from the
sulfuric acid hydrolysis process, is expected to increase the nanocrystal polarity, its molecular assembly in sheetlike structures is believed to be responsible for this apparent hydrophobicity of CNCs. Indeed, by maintaining
the hydroxyl groups of the cellulose backbone in the hydrogen bonding network of the sheets, CH hydrophobic
groups are left exposed at the CNC (200) surfaces. This interpretation is backed by previous dynamic molecular
modeling studies [47] and surface energy computations [41] as well as by AFM visualization [8]. Sedimentation
results were represented in Teas graphs, in which dispersibility areas were plotted. It was found to be a useful
tool to visualize the amphiphilic nature of CNCs and to elaborate nanocomposites solvent casting protocols as
shown by an example of a water/CNC/PEG system. Literature suggests that such graphs may also be plotted in
the case of functionalized CNCs. Further work will focus on the role of (200) surfaces on the apparent
hydrophobicity of CNCs and on developing tools to predict and assess the dispersion of untreated CNCs and
functionalized CNCs in non-polar media.
ACKNOWLEDGEMENTS
The authors are grateful to Celluforce (Montréal, QC, Canada) for providing the cellulose nanocrystals. The
financial support of FPInnovations (Pointe-Claire, QC, Canada), of PRIMA Québec, of the National Science
and Engineering Research Council (NSERC) and of the Fond de Recherche du Québec – Nature et Technologies
(FRQNT) is also gratefully acknowledged. Dr. W. Y. Hamad, from FPInnovations, is thanked for his personal
involvement in the reviewing of this work.
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Table 1 – Fractional Hansen solubility parameters and sedimentation tests results for a set of 25 solvents.
A qualitative grade (0 to 3) is attributed to each solvent after an absolute sedimentation time, tsed,
corresponding to a relative sedimentation time of RST = 5.9·1010 s2·m-2.
Solvents
fD1
fP1
fH1 tsed2 Grade3
%
%
%
h
0 to 3
acetone
47.1 31.6 21.3 6.0
1
benzene
90.2 0.0 9.8 13.5
0
benzyl alcohol
47.9 16.4 35.7 155
0
2-butanol
43.9 15.8 40.3 64.5
1
chloroform
66.9 11.7 21.4 63.3
2
cyclohexane
98.8 0.0 1.2 17.5
0
dimethyl sulfoxide
40.9 36.4 22.7 63.8
3
1,4-dioxane
61.8 6.4 31.8 34.0
0
ethanol
35.9 20.0 44.1 21.8
1
ethanolamine
31.8 29.0 39.2 523
3
ethyl acetate
55.8 18.7 25.4 9.8
1
ethylene glycol
31.5 20.4 48.1 568
0
formamide
27.6 42.0 30.4 113
3
heptane
100.0 0.0 0.0 6.9
0
d-limonene
73.8 7.7 18.5 19.2
0
methanol
29.8 24.9 45.2 11.0
1
methyl ethyl ketone
53.2 29.9 16.9 7.9
1
methylene dichloride
54.1 23.2 22.6 22.6
2
N,N-dimethyl formamide 41.0 32.3 26.7 19.8
2
1-propanol
39.8 16.9 43.3 40.3
1
2-propanol
41.3 15.9 42.8 40.4
1
propylene carbonate
47.5 42.8 9.7 101
0
tetrahydrofuran
55.1 18.7 26.2 10.4
1
toluene
84.1 6.5 9.3 12.1
0
4
5
water
29.0 39.2 31.7 24
3
1 Data for the HSP are extracted from the HSPiP software database [32].
2 Calculated thanks to the Eq. 6. Date used for solvents densities and viscosities may be found in appendices.
3 See Fig. 2.
4 Water has 3 sets of HSP. “1% soluble in” is the most appropriate [29, 32].
5 24 h in water was chosen to establish the reference for the sedimentations tests.