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ORIGINAL RESEARCH
On the origin of surfaces-dependent growth of benzoic acid crystal
inferred through the droplet evaporation method
Piotr Cysewski • Maciej Przybyłek •
Tomasz Miernik • Mirosław Kobierski •
Dorota Zio´łkowska
Received: 2 July 2014 / Accepted: 7 October 2014
Ó The Author(s) 2014. This article is published with open access at Springerlink.com
Abstract Crystal growth behavior of benzoic acid crys-
tals on different surfaces was examined. The performed
experiments documented the existence of very strong
influence introduced by polar surfaces as glass, gelatin, and
polyvinyl alcohol (PVA) on the growth of benzoic acid
crystals. These surfaces impose strong orientation effect
resulting in a dramatic reduction of number of faces seen
with x-ray powder diffractions (XPRD). However, scrap-
ping the crystal off the surface leads to a morphology that
is similar to the one observed for bulk crystallization. The
surfaces of low wettability (paraffin) seem to be useful for
preparation of amorphous powders, even for well-crystal-
lizable compounds. The performed quantum chemistry
computations characterized energetic contributions to sta-
bilization of morphology related faces. It has been dem-
onstrated, that the dominant face (002) of benzoic acid
crystal, growing on polar surfaces, is characterized by the
highest densities of intermolecular interaction energies
determining the highest cohesive properties among all
studied faces. Additionally, the inter-layer interactions,
which stand for adhesive properties, are also the strongest
in the case of this face. Thus, quantum chemistry compu-
tations providing detailed description of energetic contri-
butions can be successfully used for clarification of
adhesive and cohesive nature of benzoic acids crystal faces.
Keywords Benzoic acid Á Droplet evaporation Á
Intermolecular interactions Á Morphology Á Crystal
engineering Á Intermolecular interaction energy
decomposition
Introduction
The control of crystallization is essential both from scien-
tific and technological perspectives. Formation of biomi-
nerals, production of pharmaceuticals, supermolecular
chemistry, semiconductors manufacturing, or designing
materials for nonlinear optics or biomineralization are
some of potential areas of interests [1–3]. Probably one of
the most popular methods of crystallization is solution
evaporation. Particularly noteworthy is the droplet evapo-
rative crystallization. In this method, small amounts of
solution are evaporated on the surface in order to obtain a
layer of crystals. Many studies suggested that this method
can be useful in crystallinity, morphology, and polymor-
phism control [4–9]. Recently, there has been a growing
interest in crystallization on different surfaces, especially
polymer-induced heteronucleation [5, 10–17]. These stud-
ies showed that the nature of crystal growth depends on the
polarity of the surface on which crystallization is carried
out. According to Shahidzadeh-Bonn et al. [18] in the case
Electronic supplementary material The online version of this
article (doi:10.1007/s11224-014-0528-x) contains supplementary
material, which is available to authorized users.
P. Cysewski (&) Á M. Przybyłek Á T. Miernik
Department of Physical Chemistry, Collegium Medicum of
Bydgoszcz, Nicolaus Copernicus University in Torun´,
Kurpin´skiego 5, 85-950 Bydgoszcz, Poland
e-mail: piotr.cysewski@cm.umk.pl
P. Cysewski Á D. Zio´łkowska
Faculty of Chemical Technology and Engineering, University of
Technology and Life Sciences in Bydgoszcz, ul. Seminaryjna 3,
85-326 Bydgoszcz, Poland
M. Kobierski
Department of Land Reclamation and Agrometeorology, Faculty
of Agriculture and Biotechnology, University of Technology and
Life Sciences in Bydgoszcz, Bernardyn´ska 6, 85-029 Bydgoszcz,
Poland
123
Struct Chem
DOI 10.1007/s11224-014-0528-x
of Na2SO4, crystal growth starts at solution-air interference
irrespectively of the surface polarity. On the other hand,
studies on the evaporative microwave and metal-assisted
crystallization of L-alanine showed that the type of surface
significantly affected crystal shape and size [16]. When
crystallization proceeds on a surface which plays the role
of heteronucleant, crystals grow mainly in a direction that
is perpendicular to the surface. Therefore, it is under-
standable that the number of diffraction spectra peaks
recorded for crystals deposited on different surfaces is
significantly smaller than in the case of diffraction patterns
recorded for crystals obtained through bulk crystallization
and calculated for monocrystals [19–21].
It is well known that aromatic carboxylic acids are of
potential pharmaceutical interest. They can be used as anti-
inflammatory drugs, as for example acetylsalicylic acid,
and some of them exhibit antitumor activity [22]. Also
benzoic acid, the simplest representative of this class, is
used as an antiseptic agent as well as an additive in food
and pharmaceutical industry [23]. It is commonly recog-
nized that the crystal form, which depends on the crystal-
lization conditions, is responsible for many properties like
solubility, dissolution, moisture uptake (hygroscopicity),
chemical stability (shelf life), hydrate/solvate formation,
crystal morphology, fusion properties, thermal stability,
mechanical properties, and bioavailability [24–26].
Although the crystal structure of benzoic acid is known
[27–29], no reports were published documenting droplet
evaporative crystallization. The main goal of this study is
to examine and explain the effect of surfaces of varying
polarities on benzoic acid crystal growth.
Methods
Materials
Analytical grade benzoic acid, methanol, gelatin and
polyvinyl alcohol (PVA) (molecular weight 72,000) were
purchased from POCH (Gliwice, Poland) and used without
further purification.
Coating procedures
Crystallization of benzoic acid was carried out on blank
glass microscope slides and also on slides coated with
different materials such as gelatin, PVA, and paraffin.
Gelatin and PVA coatings were prepared according to the
following procedure. First, 0.5 g of polymer was added to
10 ml of water and constantly stirred for 30 min in 70 °C.
Then, 1 ml of prepared mixtures was poured and uniformly
spread onto the surface of microscope slides and dried for
24 h under atmospheric pressure at 43 °C. Paraffin layer
was prepared by coating microscope slides with Parafilm
‘‘M’’ (American National Can, Greenwich).
Crystallization
Crystallization via droplet evaporation was performed
according to the following procedure. A 20-lL droplet of
0.724 M methanolic solution of benzoic acid was added
onto a microscope slide and then evaporated under atmo-
spheric pressure at 43 °C. Bulk crystallization was carried
out by evaporating 30 ml of benzoic acid solution at 43 °C
in a glass beaker.
XRD measurements
Powder x-ray diffraction (XRD) was measured using
Goniometer PW3050/60 armed with Empyrean XRD tube
Cu LFF DK303072. The data were collected in the range
between 2° and 40° of 2h with a 0.001° minimum step size
directly on the films and additionally after careful scrap-
ping crystals off the surface. The Reflex program within
Accelrys Material studio 6.1 [30] was used for data pro-
cessing. The background scattering contributions from
experimental powder diffraction patterns was calculated
and subtracted after Ka2 peaks stripping using default
settings.
Computations
The energetic patterns of benzoic acid crystals were ana-
lyzed in three steps. Initially, available crystals structures
taken from CIF files deposited in CSD [31] were pre-
optimized within DMol3
[32–34] module implemented in
Accelrys Material Studio 6.1 package [30]. The PBE [35]
density functional approach with version 3.5 DNP basis set
[36] was used for structure optimization of benzoic acid
crystal. This double numerical basis set includes polariza-
tion d-function on all non-hydrogen atoms and additionally
the p-function on all hydrogen atoms. Such extension is
essential for proper hydrogen bonding computations. The
dispersion contribution was evaluated based on Grimme
[37] approach. The fine option was set for integration
accuracy and SCF tolerance (10-6
). All electrons were
included in core treatment. Also orbital cutoff quality was
set to fine. The cell parameters were kept constant at
experimental values. This partial optimization enabled the
geometry relaxation of benzoic acid molecule without
affecting the overall crystal structure. Data characterizing
all optimized crystals were collected in supporting mate-
rials (see Table S1).
In the second step, the obtained crystals were used for
molecular shell preparation and identification of unique
pairs formed by two benzoic acid monomers. Taking
Struct Chem
123
advantage of the Mercury software [38], the closest prox-
imity of benzoic acid molecule was taken into account for
all considered crystals. The nearest neighborhood was
defined by separation distance between two monomers,
which did not exceed the sum of van der Waals radius
augmented by 1 A˚ of any pair of atoms belonging to either
of monomers. This is accepted as a standard procedure [39]
defining molecular shell within crystal. In the case of
systems with just one molecule per asymmetric unit (Z0
),
all molecules are supposed to be structurally and energet-
ically identical. The geometries of benzoic acid pairs
belonging to molecular shell were used for intermolecular
interaction energy (IIE) computations. For this purpose, the
first principle meta hybrid M06-2X [40] approach along
with ET-pVQZ basis set was applied. All values were
corrected for basis superposition error. Besides, the inter-
action energy was decomposed into the following three
physically meaningful terms according to Morokuma-Zie-
gler scheme [41], in which the intermolecular interactions
are expressed as the sum of the following bond energy
contributions [41], namely
DEsurf
IIE ¼ DEsurf
EL þ DEsurf
TPR þ DEsurf
OI
The first term DEsurf
EL
À Á
stands for the classical electro-
static interaction between the unperturbed charge distri-
butions of the prepared fragments as they are brought
together to their final positions. The second term DEsurf
TPR
À Á
stands for the total Pauli repulsion and it accounts for the
repulsive interactions between occupied orbitals originat-
ing from the Pauli principle and explicit antisymmetriza-
tion of the wave function. The last term DEsurf
OI
À Á
accounts
for stabilization of orbital interactions of one fragment with
the unoccupied molecular orbitals of the other one. It also
includes mixing of occupied and virtual orbitals within the
same fragment resulting in inner-fragment polarization.
The decomposition was performed using ADF2013 soft-
ware [42]. The superscript surf resembles the fact that all
energy values were divided by surface area of corre-
sponding face. This value was computed in the third step
for each morphologically relevant crystal face.
The Miller indices of the most dominant faces were
identified based on signals appearing in XPRD spectra. The
crystal was cleaved along each of these planes and mole-
cules within 3 9 3 9 1 cell were used as building blocks
for surface construction. This surface exposed cell (SEC)
was used for large supercell construction by replicating its
images along both 2D directions and additionally along the
in-depth axis. Practically, the 9 9 9 9 9 supercell system
was sufficiently large for edge artifacts elimination and
mimicking an infinitely extended surface. All technical
manipulations with crystals were performed with an aid of
quite convenient facilities offered by Accelrys Material
Studio 6.1 package [30]. The intermolecular interactions
between molecules found in SEC, with its images along 2D
directions, were used for quantification of intra-layer sta-
bilization and defined the cohesiveness of a particular
surface. On the other hand, the inter-layer stabilization,
defined by interactions of molecules found in SEC with its
images along in-depth direction, was used as a measure of
adhesive properties of particular crystal face. Both cohe-
sive and adhesive intermolecular interactions of each
considered face were expressed as surface densities esti-
mated by adding up all contributions and dividing them by
SEC surface area.
Results and discussion
Surface crystallization
Surface evaporative crystallization leads to different mor-
phology than in the case of bulk evaporative crystalliza-
tion. Indeed, exemplary microscopic images of benzoic
acid crystals formed through crystallization on different
surfaces that are presented in Fig. 1 confirms this notion. In
the case of polar surfaces, typical fern-like patterns are
developed with varying textures and intensities. Individual
crystals formed on non-polar surfaces, due to fast crystal
growth, are much smaller than the ones formed via bulk
crystallization.
The quantitative analysis of obtained crystals was con-
ducted based on measured PXRD spectra. The collected
data were plotted in Fig. 2. First of all, the pattern char-
acterizing bulk crystallization of benzoic acid agrees with
those documented in the literature [27–29]. Apart from
bulk crystallization spectrum, there are also provided
spectra corresponding directly to the surface crystallization
and additionally to the same crystals measured after care-
fully scrapping them off the surface. This was done for
checking if there is any orientation effect imposed by
specific arrangement of crystals on the surface. As it was
documented in Fig. 2, the influence of surface on the
morphology of obtained crystals appears to be extremely
strong. In the studied range of diffraction angles, the ben-
zoic acid crystals obtained on different surfaces show only
few strong reflections. In all cases, the most intense band is
located at 8.1° corresponding to Miller plane (002) with
d-spacing distance d002 = 10.9 nm. There are also visible
two less intense peaks related to (100) and (10-2) faces
associated with 2h = 16.3° and 17.3°, respectively. The
rest of signals typical for fully developed benzoic acid
crystal morphology are not visible. This is especially
spectacular for highly polar surfaces as glass or PVA.
Interestingly, the powder obtained after scrapping crystals
Struct Chem
123
off the polar surface retains bulk-like patterns. This sug-
gests that the observed reduction of signals is possibly
mainly due to the crystals orientations effect. Due to the
interactions of benzoic acid molecules with the polar sur-
face, only certain crystal faces can grow perpendicularly to
the surface and hence the majority of faces are not avail-
able for x-ray irradiation scattering. This is even more
visible for PVA surfaces, since after mechanical removal
from the surface, the obtained precipitate has its mor-
phology very similar to the one obtained from bulk crys-
tallization. The way of mechanical treatment of crystals
during scrapping off is probably important for final mor-
phology profile. For gelatin coatings, a similar effect is
observed, but in general crystallization is much less
effective and the intensities of measured PXRD signals are
much lower compared to the other surfaces. It seems that
on gelatin surface in oversaturated conditions the crystal
formation of benzoic acid is prohibited and mostly amor-
phous phase is obtained. This is an interesting observation
since amorphous phases are important from a pharmaceu-
tical perspective. The PXRD spectrum recorded for crystals
produced via evaporative crystallization on paraffin seems
to be more similar to diffraction patterns recorded for
crystals obtained through bulk evaporative crystallization.
Because of the low wettability of paraffin, benzoic crystal
faces growth proceeds in all directions without directional
effect, in contrast to crystallization on polar surfaces.
Origin of the crystal growth and orientation effect
Before explaining the growth of benzoic acid crystals on
the surface, the accuracy of computations was carefully
checked against experimental data of sublimation enthalpy.
Benzoic acid structures measured at ambient conditions are
deposited in CSD three times under BENZAC, BEZAC01,
and BENZAC02 [27–29] codes. Although all of them
correspond to monoclinic crystals system, characterized by
P21/c space group, they differ in many details. For exam-
ple, the cell volume ranges from 616.733 A˚ 3
, through
619.15 A˚ 3
, to 613.955 A˚ 3
, respectively. This is not only
associated with variation of cell parameters but also with
changes of all crucial features affecting intermolecular
interactions. For example, the main C2
2ð8Þ synthon geom-
etry is significantly different in these structures since
hydrogen bond length is equal to 2.616, 2.633, and 2.627 A˚
for these three mentioned structures, respectively. That is
why the geometries provided by CIF files seem to be
inadequate for direct energy estimations. Optimization of
molecular structures without changing cell parameters
leads to a much better congruency of molecular geometry
(2.601, 2.608 and 2.603 A˚ , respectively). Additionally, the
hydrogen atom position within C2
2ð8Þ synthon of benzoic
acid derivatives is questionable [43] due to concurrency
between electronegative centers, leading to hydrogen
atoms disorder [27–29, 44–46]. Fortunately, these two
Fig. 1 The representative microscope images of the benzoic acid crystals formed through crystallization on different surfaces, namely glass (a),
PVA (b), paraffin (c), and after bulk crystallization (d)
Struct Chem
123
tautomeric forms are energetically almost identical and
their XPRD spectra are indistinguishable. However, all six
optimized structures were used for averaging of intermo-
lecular interactions characterizing distinct contacts within
molecular shell. The structural characteristics of optimized
crystals are provided in supporting materials in Table S1.
In case of benzoic acid crystal, each molecule is sur-
rounded by 15 neighbors belonging to the molecular shell.
However, only 9 intermolecular contacts are distinct and
univocally define all energetic patterns within both bulk
crystal and morphology related faces. The values of
intermolecular interactions of these contacts are provided
in supporting materials in Table S2. These data can be used
for additive construction of stabilization energies of the
whole crystal by simple summing of unique pair interaction
energies (eIIE) weighted by their occurrence (nij), namely
Elatt & DEMS = 0.5•Rnij•eIIE(ij) (0.5 factor is used in
order to avoid double counting of intermolecular interac-
tions in crystal). For validation of reliability of the additive
model, the experimental values of sublimation enthalpies
0.0
0.2
0.4
0.6
0.8
1.0
5.0 10.0 15.0 20.0 25.0 30.0
relaƟveintensity
glass(thin layer)
glass(scraped off)
MeOH
0.0
0.2
0.4
0.6
0.8
1.0
5.0 10.0 15.0
15.0
20.0 25.0 30.0
relaƟveintensity
PVA(thin layer)
PVA(scraped off)
MeOH
0.0
0.2
0.4
0.6
0.8
1.0
5.0 10.0 20.0 25.0 30.0
relaƟveintensity
gelaƟne (thin layer)
MeOH
0.0
0.2
0.4
0.6
0.8
1.0
5.0 10.0 15.0 20.0 25.0 30.0
relaƟveintensity
paraffin (thin layer)
MeOH
2θ [°]
2θ [°]
2θ [°]
2θ [°]
(a)
(b)
(c)
(d)
Fig. 2 The powder x-ray spectra of benzoic acid thin layers formed on a glass, b polyvinyl alcohol (PVA), c gelatin, and d paraffin. MeOH
denotes bulk evaporative crystallization
Struct Chem
123
were used. Since the sublimation enthalpy, DHsub(T), of a
crystal is a direct measure of the lattice energy, these data
are very often used for theoretical models verification [47,
48] by the following simplified formula:DHsubðTÞ ¼
ÀElatt À 2RT, where T is the temperature at which the
sublimation enthalpy is measured and R stands for the gas
constant. This equation relies on the assumption, that the
gas phase is ideal and energy contributions from
intramolecular vibrational motions are equal in the solid
and in the gas phases. It is worth mentioning, that there are
systematic uncertainties associated with the measurement
of sublimation enthalpies of solids and it is common to
notice quite large variances in sublimation enthalpy of the
same compound [49]. Benzoic acid is used as internal
standard in thermo-gravimetric measurements and for this
purpose precise values of heats of phase changes are
indispensable. This is the reason why measurements were
repeated by different authors using a variety of experi-
mental approaches. As reported in contemporary compi-
lation [49] and Reaxys database, there were published 47
measurements of benzoic acid sublimation enthalpies.
After adjustments to standard temperature, the average
value is equal to 89.3 kJ/mol with averaged standard
deviation equal to 2.3 kJ/mol [49]. The corresponding
value of lattice energy equals -94.3 ± 2.3 kJ/mol and is
used here for reference purposes. Interestingly, the additive
model used for benzoic acid crystals characteristics is
sufficiently accurate since it predicts the lattice energy as
equal to -95.9 ± 0.3 kJ/mol.
Experimentally observed directional effect of polar
surfaces on orientations of benzoic acid crystals is an
intriguing aspect, which deserves further exploration. For
closer inspection into the origin of such behavior, the
model surfaces were constructed according to procedure
described in the methodology part. The face-related
profiles of pair interactions were generated and energy
components were computed. Results of these computations
are collected in Fig. 3. The most interesting outcome of
performed computations is the identification of the unique
features of the (002) face. First of all, the surface density of
intra-intermolecular interaction is the highest for this par-
ticular crystal face. Thus, this crystal face is characterized
by the strongest cohesive forces stabilizing such layers,
what is quite understandable since the dominant contribu-
tion to the energy comes from C2
2ð8Þ synthons formed by
each benzoic acid dimers. Interestingly, the surface densi-
ties of the adhesive interactions are also the most attractive
for (002) face as it can be seen on the right panel of Fig. 3.
Again, the exposure of carboxylic groups outwards is the
source of this property. Thus, the unique features of (002)
face of benzoic acid crystals are related to the highest
interaction densities both of cohesive and adhesive char-
acter, which means that the most dominant crystal growth
direction is also the most energetically favorable. This is
why this particular face overwhelmingly dominates in the
case of crystallization on polar surfaces. The highest den-
sity of IIE characterizing the (002) face is also associated
with the highest electrostatic and orbital interactions con-
tributions. Although the total Pauli repulsion is also the
highest for this face, electrostatic interactions are dominant
and overcome the steric repulsions.
The energy decomposition offered by Morokuma–Zie-
gler scheme leads to quantities strongly related to each
other. As one can see in Fig. 3, the trends of electrostatic,
total orbital, and intermolecular interactions contributions
are arranged almost symmetrically with respect to total
Pauli repulsion contribution. In Fig. 4, the correlation
between the values of the total Pauli repulsion, DETPR and
some selected contributions are presented, showing highly
linear correlations. First of all, the rise of total Pauli
(a) (b)
-8.0
-6.0
-4.0
-2.0
0.0
2.0
4.0
6.0
ΔEIIE(i)[kJ⋅mol-1⋅Å-2]
Intermolecular interacƟon
Total Pauli Repulsion
ElectrostaƟc InteracƟon
Total Orbital InteracƟons
Total Steric InteracƟon
-7.0
-5.0
-3.0
-1.0
1.0
3.0
5.0
7.0
ΔEIIE(i)[kJ⋅mol-1⋅Å-2]
Intermolecular interacƟon
Total Pauli Repulsion
ElectrostaƟc InteracƟon
Total Orbital InteracƟons
Total Steric InteracƟon
Fig. 3 Surface densities of a cohesive and b adhesive intermolecular interactions of morphology dominant faces of benzoic acid crystal. Miller
indices along with 2h values (in parenthesis) were provided in the description of abscissa
Struct Chem
123
repulsion in the diverse molecular conformations of ana-
lyzed dimers is associated with an increase of all electro-
static and orbital attractions and consequently an increase
of pair stabilization. This is quite expected, since stronger
intermolecular interactions require more robust alterations
of electronic structure of interacting monomers. The nature
of Pauli repulsion interactions, also known as exchange
interactions, is associated with the repulsion of electrons
with the same spin. According to Lenard-Jones model, both
repulsion and attraction energies depend on the intermo-
lecular distances. Therefore, increase of attraction inter-
actions contributes to the shortening of distances between
molecules and in turn an increase of steric repulsion.
Interestingly, the relationship between Pauli repulsion
contribution and other types of IIE densities is not identical
for cohesive and adhesive forces. This can be inferred from
Fig. 4 by inspection of slope values of presented linear
regressions. The only value greater then unity has been
found for electrostatic contributions to cohesive forces.
This suggests that in the case of intra-layer contacts the rise
of the Pauli repulsions is associated with even more pro-
nounced electrostatic attractions. However, this is not
observed in the case of adhesive interactions. In general,
slopes of trends presented in Fig. 4 for cohesive interac-
tions are almost twice as high as adhesive ones. Thus,
intermolecular interactions are much more sensitive to
Pauli repulsions in the case of inter-layer interactions and
this cannot be merely related to the range of DETPR values.
The span of densities of total Pauli repulsion is very similar
for both cohesion and adhesion interactions.
Conclusions
Benzoic acid stands here as a model compound constituting
a class of aromatic carboxylic acids. Since many drugs
belong to this group, studying the properties of benzoic
acid is a valuable starting point. It is quite rational to expect
that such active pharmaceutical ingredients as aspirin,
salicylic acid, diflunisal, flufenamic acid, lasalocid, and
others can also behave on similar manner. Controlling
morphology is an important aspect of crystal engineering.
Among many possible ways of achieving such control the
crystallization on surfaces through droplet evaporation can
be applied. The performed experiments on crystallization
of benzoic acid suggested the existence of very strong
effect on crystal growth behavior and resulting apparent
morphology, especially introduced by polar surfaces. This
suggests the possibility of controlling crystallization in two
aspects. First of all, the polar surfaces impose strong ori-
entation effect associated with a dramatic reduction of
number of faces seen with x-ray diffractions. However,
scrapping the crystal off the surface leads to reestablishing
a morphology similar to the one observed for bulk crys-
tallization. Despite the fact, that actual morphology of the
surface can be quite similar as after evaporative crystalli-
zation, the orientation effect changes physical properties of
such deposits. As long as they adhere to polar surface, they
have the properties determined by a dominant face exposed
to solution. Second interesting aspect was inferred form
crystallization on gelatin and especially on paraffin. These
surfaces prohibited normal crystal growth leading mostly
to amorphous phases. Solid deposits obtained in such way
are not rich in crystals and observed XPRD intensities are
at least one order of magnitude lower compared to crys-
tallization on glass surface. This observation can offer
practical applications. Those surfaces of low wettability
like paraffin can be used for preparation of powder, even
from well crystallizable compounds, with high contribu-
tions from amorphous phases. In order to reveal the
mechanism governing the above observations, there were
performed computations characterizing the energetic con-
tributions stabilizing particular crystal faces. Quite simple
and clear picture emerged from these computations, which
(a) (b)
y =-0.979x + 0.294
R² = 0.995
y =-1.135x + 0.163
R² = 0.998
y =-0.844x + 0.133
R² = 0.999
-8.0
-7.0
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
1.0 2.0 3.0 4.0 5.0 6.0 7.0
ΔEIIE(i)[kJ⋅mol-1⋅Å-2]
ΔETPR [kJ⋅mol-1⋅Å-2]
Intermolecular interacƟon
ElectrostaƟc InteracƟon
Total Orbital InteracƟons
y =-0.552x- 0.733
R² = 0.983
y =-0.906x- 0.374
R² = 0.995
y =-0.646x- 0.351
R² = 0.999
-8.0
-7.0
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
1.0 2.0 3.0 4.0 5.0 6.0 7.0
ΔEIIE(i)[kJ⋅mol-1⋅Å-2]
ΔETPR [kJ⋅mol-1⋅Å-2]
Intermolecular interacƟon
ElectrostaƟc InteracƟon
Total Orbital InteracƟons
Fig. 4 Correlations between contributions to cohesive (a) and adhesive (b) interactions of morphology dominant faces of benzoic acid crystal
Struct Chem
123
is also in good accordance with chemical intuition. Indeed,
the dominant faces observed on polar surfaces and
emerging due to orientation effect are characterized by the
highest densities of intermolecular interaction energies,
which determine cohesive properties. Additionally, the
inter-layer interactions, which stand for adhesive proper-
ties, are also the strongest in case of (002) face of benzoic
acid crystal. Thus, quantum chemistry computations, pro-
viding detailed description of energetic contributions, can
be successfully used for clarification of adhesive and
cohesive nature of benzoic acid crystal faces.
Acknowledgments This research was supported in part by PL-Grid
Infrastructure. The allocation of computational facilities of Academic
Computer Centre ‘‘Cyfronet’’ AGH/Krakow/Poland is also
acknowledged.
Open Access This article is distributed under the terms of the
Creative Commons Attribution License which permits any use, dis-
tribution, and reproduction in any medium, provided the original
author(s) and the source are credited.
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On the origin of surfaces-dependent growth of benzoic acid crystal inferred through the droplet evaporation method

  • 1. ORIGINAL RESEARCH On the origin of surfaces-dependent growth of benzoic acid crystal inferred through the droplet evaporation method Piotr Cysewski • Maciej Przybyłek • Tomasz Miernik • Mirosław Kobierski • Dorota Zio´łkowska Received: 2 July 2014 / Accepted: 7 October 2014 Ó The Author(s) 2014. This article is published with open access at Springerlink.com Abstract Crystal growth behavior of benzoic acid crys- tals on different surfaces was examined. The performed experiments documented the existence of very strong influence introduced by polar surfaces as glass, gelatin, and polyvinyl alcohol (PVA) on the growth of benzoic acid crystals. These surfaces impose strong orientation effect resulting in a dramatic reduction of number of faces seen with x-ray powder diffractions (XPRD). However, scrap- ping the crystal off the surface leads to a morphology that is similar to the one observed for bulk crystallization. The surfaces of low wettability (paraffin) seem to be useful for preparation of amorphous powders, even for well-crystal- lizable compounds. The performed quantum chemistry computations characterized energetic contributions to sta- bilization of morphology related faces. It has been dem- onstrated, that the dominant face (002) of benzoic acid crystal, growing on polar surfaces, is characterized by the highest densities of intermolecular interaction energies determining the highest cohesive properties among all studied faces. Additionally, the inter-layer interactions, which stand for adhesive properties, are also the strongest in the case of this face. Thus, quantum chemistry compu- tations providing detailed description of energetic contri- butions can be successfully used for clarification of adhesive and cohesive nature of benzoic acids crystal faces. Keywords Benzoic acid Á Droplet evaporation Á Intermolecular interactions Á Morphology Á Crystal engineering Á Intermolecular interaction energy decomposition Introduction The control of crystallization is essential both from scien- tific and technological perspectives. Formation of biomi- nerals, production of pharmaceuticals, supermolecular chemistry, semiconductors manufacturing, or designing materials for nonlinear optics or biomineralization are some of potential areas of interests [1–3]. Probably one of the most popular methods of crystallization is solution evaporation. Particularly noteworthy is the droplet evapo- rative crystallization. In this method, small amounts of solution are evaporated on the surface in order to obtain a layer of crystals. Many studies suggested that this method can be useful in crystallinity, morphology, and polymor- phism control [4–9]. Recently, there has been a growing interest in crystallization on different surfaces, especially polymer-induced heteronucleation [5, 10–17]. These stud- ies showed that the nature of crystal growth depends on the polarity of the surface on which crystallization is carried out. According to Shahidzadeh-Bonn et al. [18] in the case Electronic supplementary material The online version of this article (doi:10.1007/s11224-014-0528-x) contains supplementary material, which is available to authorized users. P. Cysewski (&) Á M. Przybyłek Á T. Miernik Department of Physical Chemistry, Collegium Medicum of Bydgoszcz, Nicolaus Copernicus University in Torun´, Kurpin´skiego 5, 85-950 Bydgoszcz, Poland e-mail: piotr.cysewski@cm.umk.pl P. Cysewski Á D. Zio´łkowska Faculty of Chemical Technology and Engineering, University of Technology and Life Sciences in Bydgoszcz, ul. Seminaryjna 3, 85-326 Bydgoszcz, Poland M. Kobierski Department of Land Reclamation and Agrometeorology, Faculty of Agriculture and Biotechnology, University of Technology and Life Sciences in Bydgoszcz, Bernardyn´ska 6, 85-029 Bydgoszcz, Poland 123 Struct Chem DOI 10.1007/s11224-014-0528-x
  • 2. of Na2SO4, crystal growth starts at solution-air interference irrespectively of the surface polarity. On the other hand, studies on the evaporative microwave and metal-assisted crystallization of L-alanine showed that the type of surface significantly affected crystal shape and size [16]. When crystallization proceeds on a surface which plays the role of heteronucleant, crystals grow mainly in a direction that is perpendicular to the surface. Therefore, it is under- standable that the number of diffraction spectra peaks recorded for crystals deposited on different surfaces is significantly smaller than in the case of diffraction patterns recorded for crystals obtained through bulk crystallization and calculated for monocrystals [19–21]. It is well known that aromatic carboxylic acids are of potential pharmaceutical interest. They can be used as anti- inflammatory drugs, as for example acetylsalicylic acid, and some of them exhibit antitumor activity [22]. Also benzoic acid, the simplest representative of this class, is used as an antiseptic agent as well as an additive in food and pharmaceutical industry [23]. It is commonly recog- nized that the crystal form, which depends on the crystal- lization conditions, is responsible for many properties like solubility, dissolution, moisture uptake (hygroscopicity), chemical stability (shelf life), hydrate/solvate formation, crystal morphology, fusion properties, thermal stability, mechanical properties, and bioavailability [24–26]. Although the crystal structure of benzoic acid is known [27–29], no reports were published documenting droplet evaporative crystallization. The main goal of this study is to examine and explain the effect of surfaces of varying polarities on benzoic acid crystal growth. Methods Materials Analytical grade benzoic acid, methanol, gelatin and polyvinyl alcohol (PVA) (molecular weight 72,000) were purchased from POCH (Gliwice, Poland) and used without further purification. Coating procedures Crystallization of benzoic acid was carried out on blank glass microscope slides and also on slides coated with different materials such as gelatin, PVA, and paraffin. Gelatin and PVA coatings were prepared according to the following procedure. First, 0.5 g of polymer was added to 10 ml of water and constantly stirred for 30 min in 70 °C. Then, 1 ml of prepared mixtures was poured and uniformly spread onto the surface of microscope slides and dried for 24 h under atmospheric pressure at 43 °C. Paraffin layer was prepared by coating microscope slides with Parafilm ‘‘M’’ (American National Can, Greenwich). Crystallization Crystallization via droplet evaporation was performed according to the following procedure. A 20-lL droplet of 0.724 M methanolic solution of benzoic acid was added onto a microscope slide and then evaporated under atmo- spheric pressure at 43 °C. Bulk crystallization was carried out by evaporating 30 ml of benzoic acid solution at 43 °C in a glass beaker. XRD measurements Powder x-ray diffraction (XRD) was measured using Goniometer PW3050/60 armed with Empyrean XRD tube Cu LFF DK303072. The data were collected in the range between 2° and 40° of 2h with a 0.001° minimum step size directly on the films and additionally after careful scrap- ping crystals off the surface. The Reflex program within Accelrys Material studio 6.1 [30] was used for data pro- cessing. The background scattering contributions from experimental powder diffraction patterns was calculated and subtracted after Ka2 peaks stripping using default settings. Computations The energetic patterns of benzoic acid crystals were ana- lyzed in three steps. Initially, available crystals structures taken from CIF files deposited in CSD [31] were pre- optimized within DMol3 [32–34] module implemented in Accelrys Material Studio 6.1 package [30]. The PBE [35] density functional approach with version 3.5 DNP basis set [36] was used for structure optimization of benzoic acid crystal. This double numerical basis set includes polariza- tion d-function on all non-hydrogen atoms and additionally the p-function on all hydrogen atoms. Such extension is essential for proper hydrogen bonding computations. The dispersion contribution was evaluated based on Grimme [37] approach. The fine option was set for integration accuracy and SCF tolerance (10-6 ). All electrons were included in core treatment. Also orbital cutoff quality was set to fine. The cell parameters were kept constant at experimental values. This partial optimization enabled the geometry relaxation of benzoic acid molecule without affecting the overall crystal structure. Data characterizing all optimized crystals were collected in supporting mate- rials (see Table S1). In the second step, the obtained crystals were used for molecular shell preparation and identification of unique pairs formed by two benzoic acid monomers. Taking Struct Chem 123
  • 3. advantage of the Mercury software [38], the closest prox- imity of benzoic acid molecule was taken into account for all considered crystals. The nearest neighborhood was defined by separation distance between two monomers, which did not exceed the sum of van der Waals radius augmented by 1 A˚ of any pair of atoms belonging to either of monomers. This is accepted as a standard procedure [39] defining molecular shell within crystal. In the case of systems with just one molecule per asymmetric unit (Z0 ), all molecules are supposed to be structurally and energet- ically identical. The geometries of benzoic acid pairs belonging to molecular shell were used for intermolecular interaction energy (IIE) computations. For this purpose, the first principle meta hybrid M06-2X [40] approach along with ET-pVQZ basis set was applied. All values were corrected for basis superposition error. Besides, the inter- action energy was decomposed into the following three physically meaningful terms according to Morokuma-Zie- gler scheme [41], in which the intermolecular interactions are expressed as the sum of the following bond energy contributions [41], namely DEsurf IIE ¼ DEsurf EL þ DEsurf TPR þ DEsurf OI The first term DEsurf EL À Á stands for the classical electro- static interaction between the unperturbed charge distri- butions of the prepared fragments as they are brought together to their final positions. The second term DEsurf TPR À Á stands for the total Pauli repulsion and it accounts for the repulsive interactions between occupied orbitals originat- ing from the Pauli principle and explicit antisymmetriza- tion of the wave function. The last term DEsurf OI À Á accounts for stabilization of orbital interactions of one fragment with the unoccupied molecular orbitals of the other one. It also includes mixing of occupied and virtual orbitals within the same fragment resulting in inner-fragment polarization. The decomposition was performed using ADF2013 soft- ware [42]. The superscript surf resembles the fact that all energy values were divided by surface area of corre- sponding face. This value was computed in the third step for each morphologically relevant crystal face. The Miller indices of the most dominant faces were identified based on signals appearing in XPRD spectra. The crystal was cleaved along each of these planes and mole- cules within 3 9 3 9 1 cell were used as building blocks for surface construction. This surface exposed cell (SEC) was used for large supercell construction by replicating its images along both 2D directions and additionally along the in-depth axis. Practically, the 9 9 9 9 9 supercell system was sufficiently large for edge artifacts elimination and mimicking an infinitely extended surface. All technical manipulations with crystals were performed with an aid of quite convenient facilities offered by Accelrys Material Studio 6.1 package [30]. The intermolecular interactions between molecules found in SEC, with its images along 2D directions, were used for quantification of intra-layer sta- bilization and defined the cohesiveness of a particular surface. On the other hand, the inter-layer stabilization, defined by interactions of molecules found in SEC with its images along in-depth direction, was used as a measure of adhesive properties of particular crystal face. Both cohe- sive and adhesive intermolecular interactions of each considered face were expressed as surface densities esti- mated by adding up all contributions and dividing them by SEC surface area. Results and discussion Surface crystallization Surface evaporative crystallization leads to different mor- phology than in the case of bulk evaporative crystalliza- tion. Indeed, exemplary microscopic images of benzoic acid crystals formed through crystallization on different surfaces that are presented in Fig. 1 confirms this notion. In the case of polar surfaces, typical fern-like patterns are developed with varying textures and intensities. Individual crystals formed on non-polar surfaces, due to fast crystal growth, are much smaller than the ones formed via bulk crystallization. The quantitative analysis of obtained crystals was con- ducted based on measured PXRD spectra. The collected data were plotted in Fig. 2. First of all, the pattern char- acterizing bulk crystallization of benzoic acid agrees with those documented in the literature [27–29]. Apart from bulk crystallization spectrum, there are also provided spectra corresponding directly to the surface crystallization and additionally to the same crystals measured after care- fully scrapping them off the surface. This was done for checking if there is any orientation effect imposed by specific arrangement of crystals on the surface. As it was documented in Fig. 2, the influence of surface on the morphology of obtained crystals appears to be extremely strong. In the studied range of diffraction angles, the ben- zoic acid crystals obtained on different surfaces show only few strong reflections. In all cases, the most intense band is located at 8.1° corresponding to Miller plane (002) with d-spacing distance d002 = 10.9 nm. There are also visible two less intense peaks related to (100) and (10-2) faces associated with 2h = 16.3° and 17.3°, respectively. The rest of signals typical for fully developed benzoic acid crystal morphology are not visible. This is especially spectacular for highly polar surfaces as glass or PVA. Interestingly, the powder obtained after scrapping crystals Struct Chem 123
  • 4. off the polar surface retains bulk-like patterns. This sug- gests that the observed reduction of signals is possibly mainly due to the crystals orientations effect. Due to the interactions of benzoic acid molecules with the polar sur- face, only certain crystal faces can grow perpendicularly to the surface and hence the majority of faces are not avail- able for x-ray irradiation scattering. This is even more visible for PVA surfaces, since after mechanical removal from the surface, the obtained precipitate has its mor- phology very similar to the one obtained from bulk crys- tallization. The way of mechanical treatment of crystals during scrapping off is probably important for final mor- phology profile. For gelatin coatings, a similar effect is observed, but in general crystallization is much less effective and the intensities of measured PXRD signals are much lower compared to the other surfaces. It seems that on gelatin surface in oversaturated conditions the crystal formation of benzoic acid is prohibited and mostly amor- phous phase is obtained. This is an interesting observation since amorphous phases are important from a pharmaceu- tical perspective. The PXRD spectrum recorded for crystals produced via evaporative crystallization on paraffin seems to be more similar to diffraction patterns recorded for crystals obtained through bulk evaporative crystallization. Because of the low wettability of paraffin, benzoic crystal faces growth proceeds in all directions without directional effect, in contrast to crystallization on polar surfaces. Origin of the crystal growth and orientation effect Before explaining the growth of benzoic acid crystals on the surface, the accuracy of computations was carefully checked against experimental data of sublimation enthalpy. Benzoic acid structures measured at ambient conditions are deposited in CSD three times under BENZAC, BEZAC01, and BENZAC02 [27–29] codes. Although all of them correspond to monoclinic crystals system, characterized by P21/c space group, they differ in many details. For exam- ple, the cell volume ranges from 616.733 A˚ 3 , through 619.15 A˚ 3 , to 613.955 A˚ 3 , respectively. This is not only associated with variation of cell parameters but also with changes of all crucial features affecting intermolecular interactions. For example, the main C2 2ð8Þ synthon geom- etry is significantly different in these structures since hydrogen bond length is equal to 2.616, 2.633, and 2.627 A˚ for these three mentioned structures, respectively. That is why the geometries provided by CIF files seem to be inadequate for direct energy estimations. Optimization of molecular structures without changing cell parameters leads to a much better congruency of molecular geometry (2.601, 2.608 and 2.603 A˚ , respectively). Additionally, the hydrogen atom position within C2 2ð8Þ synthon of benzoic acid derivatives is questionable [43] due to concurrency between electronegative centers, leading to hydrogen atoms disorder [27–29, 44–46]. Fortunately, these two Fig. 1 The representative microscope images of the benzoic acid crystals formed through crystallization on different surfaces, namely glass (a), PVA (b), paraffin (c), and after bulk crystallization (d) Struct Chem 123
  • 5. tautomeric forms are energetically almost identical and their XPRD spectra are indistinguishable. However, all six optimized structures were used for averaging of intermo- lecular interactions characterizing distinct contacts within molecular shell. The structural characteristics of optimized crystals are provided in supporting materials in Table S1. In case of benzoic acid crystal, each molecule is sur- rounded by 15 neighbors belonging to the molecular shell. However, only 9 intermolecular contacts are distinct and univocally define all energetic patterns within both bulk crystal and morphology related faces. The values of intermolecular interactions of these contacts are provided in supporting materials in Table S2. These data can be used for additive construction of stabilization energies of the whole crystal by simple summing of unique pair interaction energies (eIIE) weighted by their occurrence (nij), namely Elatt & DEMS = 0.5•Rnij•eIIE(ij) (0.5 factor is used in order to avoid double counting of intermolecular interac- tions in crystal). For validation of reliability of the additive model, the experimental values of sublimation enthalpies 0.0 0.2 0.4 0.6 0.8 1.0 5.0 10.0 15.0 20.0 25.0 30.0 relaƟveintensity glass(thin layer) glass(scraped off) MeOH 0.0 0.2 0.4 0.6 0.8 1.0 5.0 10.0 15.0 15.0 20.0 25.0 30.0 relaƟveintensity PVA(thin layer) PVA(scraped off) MeOH 0.0 0.2 0.4 0.6 0.8 1.0 5.0 10.0 20.0 25.0 30.0 relaƟveintensity gelaƟne (thin layer) MeOH 0.0 0.2 0.4 0.6 0.8 1.0 5.0 10.0 15.0 20.0 25.0 30.0 relaƟveintensity paraffin (thin layer) MeOH 2θ [°] 2θ [°] 2θ [°] 2θ [°] (a) (b) (c) (d) Fig. 2 The powder x-ray spectra of benzoic acid thin layers formed on a glass, b polyvinyl alcohol (PVA), c gelatin, and d paraffin. MeOH denotes bulk evaporative crystallization Struct Chem 123
  • 6. were used. Since the sublimation enthalpy, DHsub(T), of a crystal is a direct measure of the lattice energy, these data are very often used for theoretical models verification [47, 48] by the following simplified formula:DHsubðTÞ ¼ ÀElatt À 2RT, where T is the temperature at which the sublimation enthalpy is measured and R stands for the gas constant. This equation relies on the assumption, that the gas phase is ideal and energy contributions from intramolecular vibrational motions are equal in the solid and in the gas phases. It is worth mentioning, that there are systematic uncertainties associated with the measurement of sublimation enthalpies of solids and it is common to notice quite large variances in sublimation enthalpy of the same compound [49]. Benzoic acid is used as internal standard in thermo-gravimetric measurements and for this purpose precise values of heats of phase changes are indispensable. This is the reason why measurements were repeated by different authors using a variety of experi- mental approaches. As reported in contemporary compi- lation [49] and Reaxys database, there were published 47 measurements of benzoic acid sublimation enthalpies. After adjustments to standard temperature, the average value is equal to 89.3 kJ/mol with averaged standard deviation equal to 2.3 kJ/mol [49]. The corresponding value of lattice energy equals -94.3 ± 2.3 kJ/mol and is used here for reference purposes. Interestingly, the additive model used for benzoic acid crystals characteristics is sufficiently accurate since it predicts the lattice energy as equal to -95.9 ± 0.3 kJ/mol. Experimentally observed directional effect of polar surfaces on orientations of benzoic acid crystals is an intriguing aspect, which deserves further exploration. For closer inspection into the origin of such behavior, the model surfaces were constructed according to procedure described in the methodology part. The face-related profiles of pair interactions were generated and energy components were computed. Results of these computations are collected in Fig. 3. The most interesting outcome of performed computations is the identification of the unique features of the (002) face. First of all, the surface density of intra-intermolecular interaction is the highest for this par- ticular crystal face. Thus, this crystal face is characterized by the strongest cohesive forces stabilizing such layers, what is quite understandable since the dominant contribu- tion to the energy comes from C2 2ð8Þ synthons formed by each benzoic acid dimers. Interestingly, the surface densi- ties of the adhesive interactions are also the most attractive for (002) face as it can be seen on the right panel of Fig. 3. Again, the exposure of carboxylic groups outwards is the source of this property. Thus, the unique features of (002) face of benzoic acid crystals are related to the highest interaction densities both of cohesive and adhesive char- acter, which means that the most dominant crystal growth direction is also the most energetically favorable. This is why this particular face overwhelmingly dominates in the case of crystallization on polar surfaces. The highest den- sity of IIE characterizing the (002) face is also associated with the highest electrostatic and orbital interactions con- tributions. Although the total Pauli repulsion is also the highest for this face, electrostatic interactions are dominant and overcome the steric repulsions. The energy decomposition offered by Morokuma–Zie- gler scheme leads to quantities strongly related to each other. As one can see in Fig. 3, the trends of electrostatic, total orbital, and intermolecular interactions contributions are arranged almost symmetrically with respect to total Pauli repulsion contribution. In Fig. 4, the correlation between the values of the total Pauli repulsion, DETPR and some selected contributions are presented, showing highly linear correlations. First of all, the rise of total Pauli (a) (b) -8.0 -6.0 -4.0 -2.0 0.0 2.0 4.0 6.0 ΔEIIE(i)[kJ⋅mol-1⋅Å-2] Intermolecular interacƟon Total Pauli Repulsion ElectrostaƟc InteracƟon Total Orbital InteracƟons Total Steric InteracƟon -7.0 -5.0 -3.0 -1.0 1.0 3.0 5.0 7.0 ΔEIIE(i)[kJ⋅mol-1⋅Å-2] Intermolecular interacƟon Total Pauli Repulsion ElectrostaƟc InteracƟon Total Orbital InteracƟons Total Steric InteracƟon Fig. 3 Surface densities of a cohesive and b adhesive intermolecular interactions of morphology dominant faces of benzoic acid crystal. Miller indices along with 2h values (in parenthesis) were provided in the description of abscissa Struct Chem 123
  • 7. repulsion in the diverse molecular conformations of ana- lyzed dimers is associated with an increase of all electro- static and orbital attractions and consequently an increase of pair stabilization. This is quite expected, since stronger intermolecular interactions require more robust alterations of electronic structure of interacting monomers. The nature of Pauli repulsion interactions, also known as exchange interactions, is associated with the repulsion of electrons with the same spin. According to Lenard-Jones model, both repulsion and attraction energies depend on the intermo- lecular distances. Therefore, increase of attraction inter- actions contributes to the shortening of distances between molecules and in turn an increase of steric repulsion. Interestingly, the relationship between Pauli repulsion contribution and other types of IIE densities is not identical for cohesive and adhesive forces. This can be inferred from Fig. 4 by inspection of slope values of presented linear regressions. The only value greater then unity has been found for electrostatic contributions to cohesive forces. This suggests that in the case of intra-layer contacts the rise of the Pauli repulsions is associated with even more pro- nounced electrostatic attractions. However, this is not observed in the case of adhesive interactions. In general, slopes of trends presented in Fig. 4 for cohesive interac- tions are almost twice as high as adhesive ones. Thus, intermolecular interactions are much more sensitive to Pauli repulsions in the case of inter-layer interactions and this cannot be merely related to the range of DETPR values. The span of densities of total Pauli repulsion is very similar for both cohesion and adhesion interactions. Conclusions Benzoic acid stands here as a model compound constituting a class of aromatic carboxylic acids. Since many drugs belong to this group, studying the properties of benzoic acid is a valuable starting point. It is quite rational to expect that such active pharmaceutical ingredients as aspirin, salicylic acid, diflunisal, flufenamic acid, lasalocid, and others can also behave on similar manner. Controlling morphology is an important aspect of crystal engineering. Among many possible ways of achieving such control the crystallization on surfaces through droplet evaporation can be applied. The performed experiments on crystallization of benzoic acid suggested the existence of very strong effect on crystal growth behavior and resulting apparent morphology, especially introduced by polar surfaces. This suggests the possibility of controlling crystallization in two aspects. First of all, the polar surfaces impose strong ori- entation effect associated with a dramatic reduction of number of faces seen with x-ray diffractions. However, scrapping the crystal off the surface leads to reestablishing a morphology similar to the one observed for bulk crys- tallization. Despite the fact, that actual morphology of the surface can be quite similar as after evaporative crystalli- zation, the orientation effect changes physical properties of such deposits. As long as they adhere to polar surface, they have the properties determined by a dominant face exposed to solution. Second interesting aspect was inferred form crystallization on gelatin and especially on paraffin. These surfaces prohibited normal crystal growth leading mostly to amorphous phases. Solid deposits obtained in such way are not rich in crystals and observed XPRD intensities are at least one order of magnitude lower compared to crys- tallization on glass surface. This observation can offer practical applications. Those surfaces of low wettability like paraffin can be used for preparation of powder, even from well crystallizable compounds, with high contribu- tions from amorphous phases. In order to reveal the mechanism governing the above observations, there were performed computations characterizing the energetic con- tributions stabilizing particular crystal faces. Quite simple and clear picture emerged from these computations, which (a) (b) y =-0.979x + 0.294 R² = 0.995 y =-1.135x + 0.163 R² = 0.998 y =-0.844x + 0.133 R² = 0.999 -8.0 -7.0 -6.0 -5.0 -4.0 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 ΔEIIE(i)[kJ⋅mol-1⋅Å-2] ΔETPR [kJ⋅mol-1⋅Å-2] Intermolecular interacƟon ElectrostaƟc InteracƟon Total Orbital InteracƟons y =-0.552x- 0.733 R² = 0.983 y =-0.906x- 0.374 R² = 0.995 y =-0.646x- 0.351 R² = 0.999 -8.0 -7.0 -6.0 -5.0 -4.0 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 ΔEIIE(i)[kJ⋅mol-1⋅Å-2] ΔETPR [kJ⋅mol-1⋅Å-2] Intermolecular interacƟon ElectrostaƟc InteracƟon Total Orbital InteracƟons Fig. 4 Correlations between contributions to cohesive (a) and adhesive (b) interactions of morphology dominant faces of benzoic acid crystal Struct Chem 123
  • 8. is also in good accordance with chemical intuition. Indeed, the dominant faces observed on polar surfaces and emerging due to orientation effect are characterized by the highest densities of intermolecular interaction energies, which determine cohesive properties. Additionally, the inter-layer interactions, which stand for adhesive proper- ties, are also the strongest in case of (002) face of benzoic acid crystal. Thus, quantum chemistry computations, pro- viding detailed description of energetic contributions, can be successfully used for clarification of adhesive and cohesive nature of benzoic acid crystal faces. Acknowledgments This research was supported in part by PL-Grid Infrastructure. The allocation of computational facilities of Academic Computer Centre ‘‘Cyfronet’’ AGH/Krakow/Poland is also acknowledged. 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