Michael Di Gioacchino1, Fabio Bruni1, Silvia Imberti2, Maria Antonietta Ricci1. 1. Dipartimento di Scienze, Universitá degli Studi Roma Tre, via della Vasca Navale 84, 00146 Roma, Italy. 2. UKRI-STFC, ISIS Neutron and Muon Source, Rutherford Appleton Laboratory, Harwell Campus, Chilton, Didcot OX11 0QX, U.K.
Abstract
On Earth, water plays an active role in cellular life, over several scales of distance and time. At a nanoscale, water drives macromolecular conformation through hydrophobic forces and at short times acts as a proton donor/acceptor providing charge carriers for signal transmission. At longer times and larger distances, water controls osmosis, transport, and protein mobility. Neutron diffraction experiments augmented by computer simulation, show that the three-dimensional shape of the hydration shell of carboxyl and carboxylate groups belonging to different molecules is characteristic of each molecule. Different hydration shells identify and distinguish specific sites with the same chemical structure. This experimental evidence suggests an active role of water also in controlling, modulating, and mediating chemical reactions involving carboxyl and carboxylate groups.
On Earth, water plays an active role in cellular life, over several scales of distance and time. At a nanoscale, water drives macromolecular conformation through hydrophobic forces and at short times acts as a proton donor/acceptor providing charge carriers for signal transmission. At longer times and larger distances, water controls osmosis, transport, and protein mobility. Neutron diffraction experiments augmented by computer simulation, show that the three-dimensional shape of the hydration shell of carboxyl and carboxylate groups belonging to different molecules is characteristic of each molecule. Different hydration shells identify and distinguish specific sites with the same chemical structure. This experimental evidence suggests an active role of water also in controlling, modulating, and mediating chemical reactions involving carboxyl and carboxylate groups.
Recent
views of water as a “life solvent” suggest
that it actively engages and interacts with biomolecules in subtle
and complex ways, via delicate interplay and feedback mechanisms.
Biomolecules and their aqueous environment cannot be regarded as distinct
entities.[1] While molecules, as for instance
proteins, shape the shell of water that surrounds them and influence
its dynamics, the structure and dynamics of this hydration shell seem
to feed back onto those aspects of the protein structure and dynamics
that are essential for their function.[1−4] The hydration shell preserves the native
structure of proteins, sometimes mediates the interaction with receptors
and substrates, makes protons available for signal transmission, and
promotes protein vibrational dynamics.[5]When two organic molecules encounter each other, the first
step
of their interaction is a recognition event through weak intermolecular
forces, eventually leading to a chemical reaction and/or formation
of complexes. The extent of the role of water in molecular recognition
is still unknown.[2,5−7] However, it
is agreed that complexation in water is driven by a balance between
entropic and enthalpic gains, where the cost of moving water from
the hydration shell of a molecule into the bulk solvent is not negligible.[2,7] The energy cost of removing water from the hydration shell of solutes
(being a receptor, a protein, or a ligand) clearly depends on the
strength of their interaction and in particular on the number of H-bonds
between water molecules and the solvent. Thus, atomic-level knowledge
of the solute hydration shells and the spatial arrangement of water
molecules around the solute may unveil the route toward a deeper understanding
of the recognition events and a better drug-design strategy.Investigations of the hydration of protein surfaces is usually
performed by cryogenic X-ray crystallography.[8] Here, instead of looking at an entire macromolecule in the crystalline
phase at low temperatures, we propose to study at room temperature
the hydration shell of specific groups (the carboxyl or carboxylate
group in the present instance), belonging to different molecules,
in solution. This will eventually help to establish common features
or single out differences in their interaction with water, if any.
This is done by neutron total scattering experiments, exploiting the
isotopic H/D substitution, interpreted by means of a computer simulation
refinement of the measured differential cross sections.
Methods
Neutrons are a particularly suitable probe to investigate the structure
of aqueous solutions because they are strongly scattered by hydrogen
atoms and are able to distinguish between hydrogen and deuterium isotopes[9] so that the diffraction pattern from the solutions
with different H/D proportions can be markedly different. Consequently,
the structural information available increases with the number of
isotopically substituted solutions exposed to the neutron beam. Moreover,
the availability of the coordination of waterhydrogens relative to
the solute atomic sites provides information on the relative orientation
of water and solute, missing in the X-ray diffraction experiment.
Here, we report the results of a series of total neutron scattering
experiments on aqueous solutions of small biomolecules, performed
by exploiting the H/D isotopic substitution and interpreted with the
computational modeling technique called “Empirical Potential
Structural Refinement” (EPSR).[10] The result is a description of the hydration shell at the atomic
scale. All of the molecules considered have a carboxyl or carboxylate
group, and we will discuss here only the hydration of these groups,
leaving the discussion of the hydration of the entire molecules and
their influence on the water network to more extensive reports in
future and previous publications.[11−13] In detail, we refer
to aqueous solutions, at ambient conditions, of betaine, ectoine,[12] glycine,[13] and trigonelline,
in comparison with the previously published solutions of glutathione.[11]
Experimental Section
The experiments
have been performed
at the SANDALS diffractometer, installed at the ISIS Neutron and Muon
source (Rutherford Appleton Laboratory, STFC, U.K.), by exploiting
the H/D isotopic substitution[14,15] on aqueous solutions
of betaine, ectoine,[12] glycine (all three
solutes at a concentration of 1 solute mole per 30 water moles), and
trigonelline (at a concentration of 1 solute mole per 50 water moles).
Previous experiment on a solution of glutathione[11] was performed at a concentration of 1 solute mole per 130
water moles. The quoted different concentrations do not affect the
results of our analysis, as we are only interested in the first hydration
shell of the solutes and, in all cases, the number of water molecules
per solute is much higher than the number of molecules in this shell.The measured quantity is the total interference differential scattering
cross section, which is a linear combination of the Fourier transforms
of all pair radial distribution functions (RDFs), namely, the partial
structure factors Sαβ, weighed
according to the concentrations, cα, cβ, and neutron scattering lengths, bα and bβ,[9] of the pair componentswhere Q is the modulus of
the exchanged momentum in the scattering event.Information
on the hydration of the carboxyl/carboxylate groups
is given by the partial structure factors relative to the pairs formed
by the carboxyl/carboxylate oxygens (O) and the water atoms (Ow, Hw)
and their Fourier transforms. This information cannot be directly
extracted from the experimental data, since the number of measured F(Q)s in practice cannot equal the number
of atomic pairs.[15] As a consequence, the
data are modeled and interpreted using the Monte Carlo simulation
code described in the next section.
EPSR Fitting
The
Empirical Potential Structure Refinement
Code (EPSR)[10] has been so far successfully
employed to investigate the interaction of small molecules with water.[16−18] It is a Monte Carlo routine, which refines an interaction potential
and a real space structural model of the sample against the experimental
data, starting from a seed potential model and a random distribution
of molecules in the simulation box. Provided that the simulation box
has the same composition and density as those of the real sample,
the more isotopic substituted samples are available, the better constraint
is imposed to the fitting code, and the better reliability of the
atomic structure of the sample is achieved. Importantly, the seed
potential model, usually a Lennard-Jones potential plus fractional
charges, must be suited to represent the real sample. In the present
case, the interaction models for the different solutes have been adapted
from refs (19, 20). The simple
point charge/extended (SPC/E) model[21] has
been used to describe water interactions. After equilibrating on the
seeding potential for over about 103 iterations, we started
the potential “refinement” loop. During this phase of
the data analysis, the algorithm iteratively adds a numerical correction
to the analytical seeding potential that guides the configuration
toward an improved agreement with the data. Once the fit cannot improve
further, the production run can start, with statistics accumulated
over at least 104 configurations. An example of the data
fit obtained by the EPSR simulation is shown in Figure (all other fits are of the same quality).
Figure 1
F(Q)s of the 1:30 glycine–water
solution at room temperature: data (solid black lines), fits (solid
colored lines), and residuals (down-shifted, dashed colored lines).
Gly-D5 labels the fully deuterated glycine molecule; Gly-D3 labels
the glycine molecule with deuterated amino group; Gly-50/50 is 50%
mixture of natural and fully deuterated glycine; Gly-D2 labels the
glycine molecule with deuterated methylene group; and Gly-H5 labels
natural glycine. Data have been shifted for clarity.
F(Q)s of the 1:30 glycine–water
solution at room temperature: data (solid black lines), fits (solid
colored lines), and residuals (down-shifted, dashed colored lines).
Gly-D5 labels the fully deuterated glycine molecule; Gly-D3 labels
the glycine molecule with deuterated amino group; Gly-50/50 is 50%
mixture of natural and fully deuterated glycine; Gly-D2 labels the
glycine molecule with deuterated methylene group; and Gly-H5 labels
natural glycine. Data have been shifted for clarity.All of the information on the EPSR box used for the analysis
of
the gluthatione aqueous solution is reported in ref (11). The atomic labels and
potential parameters[19,20] adopted for all the other solutes
are reported in Tables –4 and Figures –5.
Table 1
Reference Potential
Parameters Used
in the EPSR Simulation of Glycinea
atom label
ϵ (kJ/mol)
σ (Å)
q (e)
N
0.71128
3.25
–0.30
Ch
0.41420
3.80
0.21
Co
0.43932
3.75
0.70
O
0.87864
2.96
–0.80
H
0
0
0.33
M
0
0
0
Atoms are labeled according to Figure . The box contains
30 glycine molecules and 900 water molecules.
Table 4
Reference Potential Parameters Used
in the EPSR Simulation of Trigonellinea
atom label
ϵ (kJ/mol)
σ (Å)
q (e)
Oh
0.71128
3.00
–0.58
O
0.87864
2.96
–0.50
Co
0.43932
3.75
0.55
Cr
0.31400
3.80
–0.146
C
0.31400
3.80
–0.146
Cm
0.08370
4.55
0.36
N
0.83700
4.55
0.90
M
0
0
0
Atoms are labeled according to Figure . The box contains
60 trigonelline molecules, 60 Cl– atoms, 60 H+, and 3000 water molecules.
Figure 2
Atom labeling for the glycine molecule used in the EPSR analysis
and in the pair distribution functions reported above. The carbon
atoms are labeled as Ch and Co to evidence their different environments.
N and H label the amide site components, and the oxygens of carboxylic
group are labeled O. All hydrogens bonded to carbon sites are labeled
M.
Figure 5
Structure of the trigonelline molecule and atom
labeling used in
the EPSR analysis and in the pair distribution functions reported
above. The −COO– group is labeled Co for
carbon and O and Oh for the oxygens. The carbon atoms on the ring
are labeled Cr and C, where C is considered the center atom of the
molecule. The nitrogen atom is labeled N. The carbon atom of the methyl
group is labeled Cm. Finally, all hydrogens bounded to carbon sites
are labeled M.
Atom labeling for the glycine molecule used in the EPSR analysis
and in the pair distribution functions reported above. The carbon
atoms are labeled as Ch and Co to evidence their different environments.
N and H label the amide site components, and the oxygens of carboxylic
group are labeled O. All hydrogens bonded to carbon sites are labeled
M.Structure of the ectoine molecule and atom labeling
used in the
EPSR analysis and in the pair distribution functions reported above.
The −COO– group is labeled Co for carbon
and O and Oh for the oxygens. The carbon atoms on the ring are labeled
C. The nitrogen atoms are respectively labeled N and Nh, and the associated
hydrogen atoms are labeled Hn2 and Hn1, respectively. The carbon atom
of the methyl group is labeled Cm. Finally, all hydrogens bounded
to carbon sites are labeled M.Structure
of the betaine molecule and atom labeling used in the
EPSR analysis and in the pair distribution functions reported above.
The carbon atoms are labeled C, Co, and Cm to evidence their different
environments; the nitrogen atom is labeled N, and the oxygens of carboxylic
group are labeled O. All hydrogens bonded to carbon sites are labeled
M.Structure of the trigonelline molecule and atom
labeling used in
the EPSR analysis and in the pair distribution functions reported
above. The −COO– group is labeled Co for
carbon and O and Oh for the oxygens. The carbon atoms on the ring
are labeled Cr and C, where C is considered the center atom of the
molecule. The nitrogen atom is labeled N. The carbon atom of the methyl
group is labeled Cm. Finally, all hydrogens bounded to carbon sites
are labeled M.Atoms are labeled according to Figure . The box contains
30 glycine molecules and 900 water molecules.Atoms are labeled
according to Figure . The box contains
30 ectoine molecules and 900 water molecules.
Figure 3
Structure of the ectoine molecule and atom labeling
used in the
EPSR analysis and in the pair distribution functions reported above.
The −COO– group is labeled Co for carbon
and O and Oh for the oxygens. The carbon atoms on the ring are labeled
C. The nitrogen atoms are respectively labeled N and Nh, and the associated
hydrogen atoms are labeled Hn2 and Hn1, respectively. The carbon atom
of the methyl group is labeled Cm. Finally, all hydrogens bounded
to carbon sites are labeled M.
Atoms are labeled
according to Figure . The box contains
30 betaine molecules and 900 water molecules.
Figure 4
Structure
of the betaine molecule and atom labeling used in the
EPSR analysis and in the pair distribution functions reported above.
The carbon atoms are labeled C, Co, and Cm to evidence their different
environments; the nitrogen atom is labeled N, and the oxygens of carboxylic
group are labeled O. All hydrogens bonded to carbon sites are labeled
M.
Atoms are labeled according to Figure . The box contains
60 trigonelline molecules, 60 Cl– atoms, 60 H+, and 3000 water molecules.In the case of betaine and glycine,[13] the simulation was performed without distinguishing the
two oxygen
sites on the carboxyl group, based on a preliminary test (data not
shown).The output of the EPSR fitting procedure is a collection
of molecular
configurations, compatible with the experimental data. From these
configurations, the structural quantities of interest can be evaluated.
Here, we report the pair radial distribution functions (RDFs) between
the carboxyl/carboxylate oxygens (O) and the water atoms (Ow, Hw),
the distribution functions of the angles defined by a selected triplet
of atoms, and the three-dimensional distribution of water molecules
around a specific site through the spatial distribution function (SDF)
defined in refs.[22,23]
Results and Discussion
The RDFs shown in Figure represent the density of probability that, given an O atom
of the solute (glycine, betaine, trigonelline, and ectoine), carboxyl,
or carboxylate group at the origin of the reference frame, an Ow or
Hw atom can be found at distance r from it.
Figure 6
Radial distribution
functions (RDF) of water sites (Ow,Hw) around
the O sites of the carboxyl groups of glycine (black), trigonelline
(red), ectoine (green), and betaine (blue) in solution. These functions
represent the probability density that given a carboxyl O atom at
the origin of the reference frame, an Ow or Hw atom sits at a distance r. The two oxygen sites of trigonelline and ectoine are
labeled O (double bonded to the C site, solid line) and Oh (single
bonded to the C site, dashed line). Oh has a larger negative charge
than O, according to the optimized potential for liquid simulation
(OPLS) potential model for acids;[20] the
Oh sites of both trigonelline and ectoine bind water closely than
the O site. The OPLS potential for glycine and betaine does not distinguish
the two O sites.[19] Both the OOw and OHw
RDFs of the glycine and betaine solutions have the first neighbor
peak at shorter distances compared to the case of trigonelline and
ectoine.
Radial distribution
functions (RDF) of water sites (Ow,Hw) around
the O sites of the carboxyl groups of glycine (black), trigonelline
(red), ectoine (green), and betaine (blue) in solution. These functions
represent the probability density that given a carboxyl O atom at
the origin of the reference frame, an Ow or Hw atom sits at a distance r. The two oxygen sites of trigonelline and ectoine are
labeled O (double bonded to the C site, solid line) and Oh (single
bonded to the C site, dashed line). Oh has a larger negative charge
than O, according to the optimized potential for liquid simulation
(OPLS) potential model for acids;[20] the
Oh sites of both trigonelline and ectoine bind water closely than
the O site. The OPLS potential for glycine and betaine does not distinguish
the two O sites.[19] Both the OOw and OHw
RDFs of the glycine and betaine solutions have the first neighbor
peak at shorter distances compared to the case of trigonelline and
ectoine.In all samples, the carboxyl groups
form hydrogen bonds (HBs) with
water. This is witnessed by the first neighbor peak of the OHw RDF
at ∼1.7–1.8 Å and the first peak of the OOw RDF
between 2.7 and 2.8 Å. Indeed, similar peak positions are found
in pure water for OwHw and OwOw, respectively, as signatures of hydrogen
bonding. Nevertheless, we notice that the investigated amino acid,
namely, glycine, and derivative amino acid, namely, betaine, form
the shortest and thus stronger bonds with the first neighbour water
molecules, compared with the other two solutes (trigonelline and ectoine).
In the latter solutions, where we distinguish the two oxygens of the
carboxyl site, the doubly bonded oxygen forms the longest and weakest
bonds. Importantly, the intensity and width of the peaks shown in Figure depends on the parent
molecule. Nevertheless, according to the EPSR simulation, the number
of water molecules within the hydration shell (data not shown) does
not sensibly differ, at odds with previous spectroscopic evidence.[24] Different hydration structures for carboxyl
groups have been found also by molecular dynamic simulations.[25]In addition to the strength of the HBs,
also the orientational
arrangement of the water molecules within the individual carboxyl
groups hydration shell is different. Indeed, the distribution functions
of the angles defined by the intramolecular C–O bond (notice
that the label of the carbon atom in question in the EPSR simulation
box is Co, according to Figures –5 and Tables –4) and the water atoms, namely, α = and β
= (see Figure ) evidence additional differences
among the four investigated
hydration shells. In the case of glycine, both α and β
angles have quite sharp bimodal distribution, with a main peak and
a shoulder. The α distribution has the main peak at ∼120°
and the shoulder at ∼150°; the β distribution is
down-shifted by ∼10°. It is tempting to ascribe the observed
two contributions to the two C–O bonds of the carboxyl group.
The α distribution for betaine is sharper and centered at ∼130°,
while the β distribution is almost flat between 50 and 180°.
In the case of trigonelline and ectoine, the distribution functions
of the α and β angles formed at the Oh site are very similar
to each other, broad and centered at ∼130°, implying linearity
of the angle. Interestingly,
the angle distribution
functions at the other site on the carboxyl group of trigonelline,
namely, the O site, is similar to that of the Oh site. On the contrary,
the distribution function at the O site of the ectoine shows a maximum
at ∼180° for both α and β angles, suggesting
the predominance of linear HBs. The observed difference between the
hydration of the two C–O sites of ectoine supports previous
assignment of the double structure of the glycine distribution functions
to the individual C–O bonds. Finally, we notice that the distribution
functions of all α angles show a structure at ∼75–80°
(less visible in Figure b, due to the scale of the vertical axis): this is likely because
water molecules are H-bonded to the companion C–O site.
Figure 7
Distribution
functions of the α = (solid) and β
= (dashed) angles (see
inset for definition).
(a) Distribution functions for glycine (black) and betaine (blue).
(b) Distribution functions for trigonelline (red) and ectoine (green)
at the O and Oh sites (vertically offset for clarity).
Distribution
functions of the α = (solid) and β
= (dashed) angles (see
inset for definition).
(a) Distribution functions for glycine (black) and betaine (blue).
(b) Distribution functions for trigonelline (red) and ectoine (green)
at the O and Oh sites (vertically offset for clarity).To get better insight into the different hydration shells
of the
four investigated molecules, we have determined within the EPSR code
the three-dimensional shape of the carboxyl hydration shells. This
is done by calculating the SDF from the recorded molecular configurations.
These functions allow to evidence the region of space where the probability
of finding a water molecule within a given distance from the atom
at the origin of the reference frame exceeds a threshold value.Figure shows the
SDFs of water around the carboxyl groups of glycine, ectoine, betaine,
and trigonelline, whose ball-and-stick molecular structure is also
shown in the figure. The SDFs give a pictorial view of the hydration
shells of these groups and evidence markedly different shapes and
extensions. In particular, we notice that the hydration shell of betaine
markedly differs from those of others: it is the tightest one, with
a unique symmetry, indicating a very low probability to have water
molecules between the two oxygens of the carboxyl group. As a matter
of fact, this molecule forms the strongest HB, with a sharper α
distribution and a flatter β distribution (see Figure ), due to the large probability
density at low θ values of the β angle. The hydration
shell of ectoine looks flatter compared to those of the others: this
is likely due to the presence of molecules forming β angles
at about 180°. At this stage, it is reasonable to state that
each hydration shell identifies a different molecule.
Figure 8
Ball-and-stick structure
of glycine, ectoine, betaine, and trigonelline
and spatial density functions (SDFs) for water around the carboxyl
(−COO–) groups of these molecules in solution.
The yellow surface contours enclose the highest-density regions that
contain 35% of the water molecules within the first neighboring shell
of the carbon atom of the carboxyl group of each molecule. This corresponds
to a cutoff distance of 4.26 Å for glycine and betaine, 4.40
Å for trigonelline, and 4.50 Å for ectoine. Carbon is represented
in gray and oxygen in red. The different shapes of the hydration shell,
as evidenced by the SDF, identify and distinguish each molecule exposing
a COO– site to the solvent.
Ball-and-stick structure
of glycine, ectoine, betaine, and trigonelline
and spatial density functions (SDFs) for water around the carboxyl
(−COO–) groups of these molecules in solution.
The yellow surface contours enclose the highest-density regions that
contain 35% of the water molecules within the first neighboring shell
of the carbon atom of the carboxyl group of each molecule. This corresponds
to a cutoff distance of 4.26 Å for glycine and betaine, 4.40
Å for trigonelline, and 4.50 Å for ectoine. Carbon is represented
in gray and oxygen in red. The different shapes of the hydration shell,
as evidenced by the SDF, identify and distinguish each molecule exposing
a COO– site to the solvent.Present results are corroborated by previous ones obtained for
the small peptide gluthathione aqueous solutions,[11] redrawn in Figure . In that case, the different hydration shells of the two
carboxyl groups, one belonging to the glutamic acid and the other
to the glycine end of the molecule, introduce an asymmetry in the
hydration of the α1 glutathione anomer, not otherwise obvious,
given the two identical carboxyl ends. Notice that the SDF around
the glutamic acid end is different from all those reported in Figure , and more interestingly,
the glycine end of the glutathione α1 anomer has a different
hydration compared to the glycine molecule. Less surprising, although
relevant, is the difference between the hydration shells of the carboxilate
group of glutathione-α12 anomer and that of the carboxyl groups.
Thus, the shape of the hydration shell not only allows to distinguish
between the two anomers but also defines a “head” and
a “tail” within the same molecule. This might play a
role in the early stages of protein folding and protein–ligand
interactions.
Figure 9
Ball-and-stick structure of the two anomers (α1
and α12)
of glutathione and spatial density functions (SDFs) for water around
carboxyl (−COO–) and carboxylate (−COOH)
groups of glutathione in solution. The red, green, and yellow circles
depict the glutamic acid and cysteine and glycine amino acids, composing
glutathione, respectively. Panels on the right (redrawn from ref (11)) show the spatial density
functions (SDFs) for water around the carboxyl groups of the glutamic
acid (top), glycine acid (middle), and glycine carboxylate group (bottom).
As in Figure , the
yellow surface contours enclose the top 35% of the water molecules
within the first neighboring shell distance from the carbon atom (4.26
Å).
Ball-and-stick structure of the two anomers (α1
and α12)
of glutathione and spatial density functions (SDFs) for water around
carboxyl (−COO–) and carboxylate (−COOH)
groups of glutathione in solution. The red, green, and yellow circles
depict the glutamic acid and cysteine and glycine amino acids, composing
glutathione, respectively. Panels on the right (redrawn from ref (11)) show the spatial density
functions (SDFs) for water around the carboxyl groups of the glutamic
acid (top), glycine acid (middle), and glycine carboxylate group (bottom).
As in Figure , the
yellow surface contours enclose the top 35% of the water molecules
within the first neighboring shell distance from the carbon atom (4.26
Å).
Conclusions
Our experiments evidence
remarkable differences between the hydration
shells of carboxyl and carboxylate groups belonging to different molecules.
These pertain to the strength and linearity of the HBs and to the
orientation and spatial occupancy of water molecules relative to the
the bisector of the angle. An obvious consequence
of these
findings is that the energy cost of removing a water molecule from
each COO– hydration shell differs depending on the
whole individual molecule. In this respect, our findings may represent
the microscopic counterpart of the thermodynamic binding studies.[2] We can argue that the hydration shell of the
carboxyl group is the fingerprint of the individual molecules. At
this stage, we can only speculate whether these differences depend
either on the steric hindrances of the molecule, or on their different
electronic charge distributions, or both of them. Nevertheless, our
findings could be another example of the active role of water as a
solvent, as by shaping the hydration shell of the carboxyl groups,
it and can control and mediate the recognition events during chemical
reactions in solution.
Table 2
Reference Potential Parameters Used
in the EPSR Simulation of Ectoinea
atom label
ϵ (kJ/mol)
σ (Å)
q (e)
Oh
0.71128
3.00
–0.58
Oc
0.87864
2.96
–0.50
N
0.83700
3.70
–0.70
Nh
0.83700
3.70
–0.70
Co
0.43932
3.75
0.55
C
0.31400
3.80
0.27
Cm
0.08370
4.55
0.05
Hn1
0
0
0.575
Hn2
0
0
0.225
Mc
0
0
0
Atoms are labeled
according to Figure . The box contains
30 ectoine molecules and 900 water molecules.
Table 3
Reference Potential Parameters Used
in the EPSR Simulation of Betainea
atom label
ϵ (kJ/mol)
σ (Å)
q (e)
N
0.71128
3.25
–0.30
C
0.41420
3.80
0.60
Cm
0.71145
3.80
0.20
Co
0.43932
3.75
0.70
O
0.87864
2.96
–0.80
M
0
0
0
Atoms are labeled
according to Figure . The box contains
30 betaine molecules and 900 water molecules.
Authors: Marco G Mazza; Kevin Stokely; Sara E Pagnotta; Fabio Bruni; H Eugene Stanley; Giancarlo Franzese Journal: Proc Natl Acad Sci U S A Date: 2011-11-30 Impact factor: 11.205
Authors: Nicola Steinke; Anna Genina; Richard J Gillams; Christian D Lorenz; Sylvia E McLain Journal: J Am Chem Soc Date: 2018-06-04 Impact factor: 15.419