Long-range, water-mediated interaction between a moderately active antifreeze protein molecule and the surface of ice.

Using molecular dynamics simulations, we show that a molecule of moderately active antifreeze protein (type III AFP, QAE HPLC-12 isoform) is able to interact with ice in an indirect manner. This interaction occurs between the ice binding site (IBS) of the AFP III molecule and the surface of ice, and it is mediated by liquid water, which separates these surfaces. As a result, the AFP III molecule positions itself at a specific orientation and distance relative to the surface of ice, which enables the effective binding (via hydrogen bonds) of the molecule with the nascent ice surface. Our results show that the final adsorption of the AFP III molecule on the surface of ice is not achieved by chaotic diffusion movements, but it is preceded by a remote, water-mediated interaction between the IBS and the surface of ice. The key factor that determines the existence of this interaction is the ability of water molecules to spontaneously form large, high-volume aggregates that can be anchored to both the IBS of the AFP molecule and the surface of ice. The results presented in this work for AFP III are in full agreement with the ones obtained by us previously for hyperactive CfAFP, which indicates that the mechanism of the remote interaction of these molecules with ice remains unchanged despite significant differences in the molecular structure of their ice binding sites. For that reason, we can expect that also other types of AFPs interact with the ice surface according to an analogous mechanism.

Mechanism of antifreeze protein functioning and the "anchored clathrate water" concept.

In liquid water, there is a natural tendency to form aggregates that consist of water molecules linked by hydrogen bonds. Such spontaneously formed aggregates are surrounded by a "sea" of disordered water molecules, with both forms remaining in equilibrium. The process of creating water aggregates also takes place in the solvation water of proteins, but in this case, the interactions of water molecules with the protein surface shift the equilibrium of the process. In this paper, we analyze the structural properties of the solvation water in antifreeze proteins (AFPs). The results of molecular dynamics analysis with the use of various parameters related to the structure of solvation water on the protein surface are presented. We found that in the vicinity of the active region responsible for the binding of AFPs to ice, the equilibrium is clearly shifted toward the formation of "ice-like aggregates," and the solvation water has a more ordered ice-like structure. We have demonstrated that a reduction in the tendency to create "ice-like aggregates" results in a significant reduction in the antifreeze activity of the protein. We conclude that shifting the equilibrium in favor of the formation of "ice-like aggregates" in the solvation water in the active region is a prerequisite for the biological functionality of AFPs, at least for AFPs having a well-defined ice binding area. In addition, our results fully confirm the validity of the "anchored clathrate water" concept, formulated by Garnham et al. [Proc. Natl. Acad. Sci. U. S. A. 108, 7363 (2011)].

Revealing the Frank-Evans "Iceberg" Structures within the Solvation Layer around Hydrophobic Solutes.

Using computer simulations, the structural properties of solvation water of three model hydrophobic molecules, methane and two fullerenes (C60 and C80), were studied. Systems were simulated at temperatures in the range of 250-298 K. By analyzing both the local ordering of the molecules of water in the solvation layers and the structure of hydrogen bond network, it is shown that in the solvation layer of hydrophobic molecules, ordered aggregates consisting of water molecules are formed. Even though it is difficult to define the exact structure of these aggregates, their existence alone is clearly noticeable. Moreover, these aggregates become more pronounced with the decrease of temperature. The existence of the ordered aggregates around the hydrophobic solutes complies with the concept of "icebergs" proposed by Frank and Evans.

Role of the Solvation Water in Remote Interactions of Hyperactive Antifreeze Proteins with the Surface of Ice.

Most protein molecules do not adsorb onto ice, one of the exceptions being so-called antifreeze proteins. In this paper, we describe that there is a force pushing an antifreeze protein molecule away from the ice surface when it is not oriented with its ice-binding plane toward the ice and that this pushing force may be also present even when the protein is oriented with its ice-binding plane toward the ice. This force is absent only when certain specific distance criteria are met, regarding the surface of ice and the protein. It acts at early stages of adsorption, prior to the solidification of water between the ice and the protein molecule nearby. We propose the water-originating mechanism of the generation of this force and also the mechanism of remote attachment of an antifreeze molecule to the ice surface. In liquid water, there exist locally favored structures, ordered and of high specific volume. The presence of a protein molecule usually shifts the equilibrium that exists in liquid water toward increasing the number of high-density, disordered structures and diminishing the number of low-density structures. Creation of the locally favored structures may be hampered not only near the non-ice-binding surfaces but also between the ice surface and the protein surface, if the distance between these surfaces does not allow these structures to develop because the available space is not sufficient for their proper formation. This conclusion is supported by the analysis of the mean geometry of a single hydrogen bond, as well as of the hydrogen bond network in the solvation layer and a structural order parameter that characterizes the separation between the first and second solvation shells of a water molecule.

Molecular dynamics study on the role of solvation water in the adsorption of hyperactive AFP to the ice surface.

Using computer simulations, the early stages of the adsorption of the CfAFP molecule to the ice surface were analyzed. We found that the ice and the protein interact at least as early as when the protein is about 1 nm away from the ice surface. These interactions are mediated by interfacial solvation water and are possible thanks to the structural ordering of the solvent. This ordering leads to positional preference of the protein relative to the ice crystal before the final attachment to the ice surface takes place, accompanied by the solidification of the interfacial water. It is possible because the solvation water of the ice-binding plane of CfAFP is susceptible to the overlapping with the solvation water of ice and is mostly changeable into ice itself. These remote interactions significantly increase efficacy of the adsorption process by facilitating the geometric adjustment of the active region of the CfAFP molecule to the ice surface. Because of the ordered nature of the water molecules at the ice-binding plane, the energy of their interactions with the ice-binding surface of the protein does not change upon the ongoing solidification of solvation water. However, the structure of the solvation water is not strictly ice-like and the growth of ice in the interfacial water is not initiated at the side of the protein. On the contrary, we find that solvation water of CfAFP solidifies slower than solvation water of ice - the solidification of interfacial water starts at the surface of ice. Moreover, in the presence of the CfAFP molecule, also solvation water of ice solidifies slower compared to the situation when the protein is not present next to the ice surface. Additionally, the presence of the protein molecule shifts the ratio of cubic to hexagonal ice that spontaneously forms at the ice surface, by introducing another layer of ordered water molecules - opposite to the ice lattice, at the other side of the crystallizing layer of water.

The accretion of the new ice layer on the surface of hexagonal ice crystal and the influence of the local electric field on this process.

The process of creation of a new layer of ice on the basal plane and on the prism plane of a hexagonal ice crystal is analyzed. It is demonstrated that the ordering of water molecules in the already existing crystal affects the freezing. On the basal plane, when the orientations of water molecules in the ice block are random, the arrangement of the new layer in a cubic manner is observed more frequently-approximately 1.7 times more often than in a hexagonal manner. When the water molecules in the ice block are more ordered, it results in the predominance of the oxygen atoms or the hydrogen atoms on the most outer part of the surface of the ice block. In this case, the hexagonal structure is formed more frequently when the supercooling of water exceeds 10 K. This phenomenon is explained by the influence of the oriented electric field, present as a consequence of the ordering of the dipoles of water molecules in the ice block. This field modifies the structure of solvation water (i.e., the layer of water in the immediate vicinity of the ice surface). We showed that the structure of solvation water predetermines the kind of the newly created layer of ice. This effect is temperature-dependent: when the temperature draws nearer to the melting point, the cubic structure becomes the prevailing form. The temperature at which the cubic and the hexagonal structures are formed with the same probabilities is equal to about 260 K. In the case of the prism plane, the new layer that is formed is always the hexagonal one, which is independent of the arrangement of water molecules in the ice block and is in agreement with previous literature data. For the basal plane, as well as for the prism plane, no evident dependence on the ordering of water molecules that constitute the ice block on the rate of crystallization can be observed.

Structure of solvation water around the active and inactive regions of a type III antifreeze protein and its mutants of lowered activity.

Water molecules from the solvation shell of the ice-binding surface are considered important for the antifreeze proteins to perform their function properly. Herein, we discuss the problem whether the extent of changes of the mean properties of solvation water can be connected with the antifreeze activity of the protein. To this aim, the structure of solvation water of a type III antifreeze protein from Macrozoarces americanus (eel pout) is investigated. A wild type of the protein is used, along with its three mutants, with antifreeze activities equal to 54% or 10% of the activity of the native form. The solvation water of the ice-binding surface and the rest of the protein are analyzed separately. To characterize the structure of solvation shell, parameters describing radial and angular characteristics of the mutual arrangement of the molecules were employed. They take into account short-distance (first hydration shell) or long-distance (two solvation shells) effects. The obtained results and the comparison with the results obtained previously for a hyperactive antifreeze protein from Choristoneura fumiferana lead to the conclusion that the structure and amino acid composition of the active region of the protein evolved to achieve two goals. The first one is the modification of the properties of the solvation water. The second one is the geometrical adjustment of the protein surface to the specific crystallographic plane of ice. Both of these goals have to be achieved simultaneously in order for the protein to perform its function properly. However, they seem to be independent from one another in a sense that very small antifreeze activity does not imply that properties of water become different from the ones observed for the wild type. The proteins with significantly lower activity still modify the mean properties of solvation water in a right direction, in spite of the fact that the accuracy of the geometrical match with the ice lattice is lost because of the mutations. Therefore, we do not observe any correlation between the antifreeze activity and the extent of modification of the properties of solvation water.

Correction: Water-mediated long-range interactions between the internal vibrations of remote proteins.

Correction for 'Water-mediated long-range interactions between the internal vibrations of remote proteins' by Anna Kuffel et al., Phys. Chem. Chem. Phys., 2015, 17, 6728-6733.

Water-mediated influence of a crowded environment on internal vibrations of a protein molecule.

The influence of crowding on the protein inner dynamics is examined by putting a single protein molecule close to one or two neighboring protein molecules. The presence of additional molecules influences the amplitudes of protein fluctuations. Also, a weak dynamical coupling of collective velocities of surface atoms of proteins separated by a layer of water is detected. The possible mechanisms of these phenomena are described. The cross-correlation function of the collective velocities of surface atoms of two proteins was decomposed into the Fourier series. The amplitude spectrum displays a peak at low frequencies. Also, the results of principal component analysis suggest that the close presence of an additional protein molecule influences the high-amplitude, low-frequency modes in the most prominent way. This part of the spectrum covers biologically important protein motions. The neighbor-induced changes in the inner dynamics of the protein may be connected with the changes in the velocity power spectrum of interfacial water. The additional protein molecule changes the properties of solvation water and in this way it can influence the dynamics of the second protein. It is suggested that this phenomenon may be described, at first approximation, by a damped oscillator driven by an external random force. This model was successfully applied to conformationally rigid Choristoneura fumiferana antifreeze protein molecules.

Unusual dynamic properties of water near the ice-binding plane of hyperactive antifreeze protein.

The dynamical properties of solvation water of hyperactive antifreeze protein from Choristoneura fumiferana (CfAFP) are analyzed and discussed in context of its antifreeze activity. The protein comprises of three well-defined planes and one of them binds to the surface of ice. The dynamical properties of solvation water around each of these planes were analyzed separately; the results are compared with the dynamical properties of solvation water of ice around its two crystallographic planes: basal and prism. Three main conclusions are inferred from our investigations. The first one is that the solvation shell of CfAFP does not seem to be particularly far-ranged, at least not beyond what is usually observed for proteins that do not interact with ice. Therefore, it does not appear to us that the antifreeze activity is enhanced by a long-ranged retardation of water mobility. Also the correlation between the collective mobility of water and the collective mobility of protein atoms highly resembles the one measured for the protein that does not interact with ice. Our second conclusion is that the dynamical properties of solvation water of CfAFP are non-uniform. The dynamics of solvation water of ice-binding plane is, in some respects, different from the dynamics of solvation water of the two remaining planes. The feature that distinguishes the dynamics of solvation water of the three planes is the activation energy of diffusion process. The third conclusion is that-from the three analyzed solvation shells of CfAFP-the dynamical properties of solvation water of the ice-binding plane resemble the most the properties of solvation water of ice; note, however, that these properties still clearly differ from the dynamic properties of solvation water of ice.

Water-mediated long-range interactions between the internal vibrations of remote proteins.

It is generally acknowledged that the mobility of protein atoms and the mobility of water molecules in the solvation layer are connected. In this article, we answer the question whether a similar interdependence exists between the motions of atoms of proteins separated by the hydration layers of variable thickness. The system consisted of a kinesin catalytic domain and a tubulin dimer. It was studied using molecular dynamics simulations. The analyzed atoms were located at the two distant protein surfaces that were facing each other. We demonstrated that the low-frequency (ca. 2 THz and less) collective movements of these two separate sets of atoms are to some extent interdependent. Based on this finding, it can be inferred that the low frequency large-scale internal motions of these proteins are also partially interdependent. The water-mediated protein-protein interactions, which are responsible for this interdependence, have a relatively long range of at least 2 nm at room temperature.

Unusual structural properties of water within the hydration shell of hyperactive antifreeze protein.

Many hypotheses can be encountered explaining the mechanism of action of antifreeze proteins. One widespread theory postulates that the similarity of structural properties of solvation water of antifreeze proteins to ice is crucial to the antifreeze activity of these agents. In order to investigate this problem, the structural properties of solvation water of the hyperactive antifreeze protein from Choristoneura fumiferana were analyzed and compared with the properties of solvation water present at the surface of ice. The most striking observations concerned the temperature dependence of changes in water structure. In the case of solvation water of the ice-binding plane, the difference between the overall structural ordering of solvation water and bulk water diminished with increasing temperature; in the case of solvation water of the rest of the protein, the trend was opposite. In this respect, the solvation water of the ice-binding plane roughly resembled the hydration layer of ice. Simultaneously, the whole solvation shell of the protein displayed some features that are typical for solvation shells of many other proteins and are not encountered in the solvation water of ice. In the first place, this is an increase in density of water around the protein. The opposite is true for the solvation water of ice - it is less dense than bulk water. Therefore, even though the structure of solvation water of ice-binding plane and the structure of solvation water of ice seem to share some similarities, densitywise they differ.

Properties of water in the region between a tubulin dimer and a single motor head of kinesin.

A kinesin is a molecular motor that can perform movement on a microtubule track in a stepping-like manner. This motion is connected with processes of association and dissociation of kinesin and tubulin. Water is an important participant in these kinds of molecular interactions. This is why we have decided to investigate the dynamical and structural properties of water in the region between the kinesin catalytic domain and the tubulin dimer. Using the molecular dynamics method, we found that these properties are different from the ones of bulk water. The changes in structure and dynamics are visible for water beyond the first solvation layers, even for the longest analyzed distance between proteins equal to 2.0 nm. However, these changes are not always enhanced compared to the situation when only one protein surface is present. One factor that distinguishes the investigated situation from the one with a single protein is the presence of an additional electric field originating from the second protein. The tendency of vectors of dipole moments of water molecules between the proteins to follow the vectors of electric field generated by the proteins causes a distortion of the water-water hydrogen bond network. It has been shown that this distortion affects the properties of water in this region: it induces structural changes in solvation water, and leads to increased water density and increased stiffness of the water structure.

Why the solvation water around proteins is more dense than bulk water.

The main aim of this work is to propose a rational explanation of the commonly observed phenomenon of increasing water density within solvation shell of proteins. We have observed that the geometry of the water-water hydrogen bond network within solvation layer differs from the one in bulk water, and it is the result of interactions of water molecules with protein surface. Altered geometry of the network reflects changes in the structure of solvation water. Our explanation of the observed changes is based on model proposed by Tanaka (Tanaka, H. J. Chem. Phys. 2000, 112, 799). According to this model, in liquid water exist some special structures formed by water molecules thanks to their unique ability to create the branched network of hydrogen bonds. These structures have two characteristic features: a low potential energy of internal interactions and a large specific volume. We provide some evidence for the supposition that deformation of the geometry of the water-water hydrogen bond network is responsible for destabilization of these structures and therefore for increased local density of water. Our model is constructed on the basis of the analysis of solvation water of some specific protein, the motor head of kinesin. Subsequently, we used it for description of solvation of purely hydrophobic surface. It has been found that in this case an unoccupied space between the hydrophobic surface and neighboring solvation layer exists. It has been found that thickness of this region depends on local geometry of the water-protein interface, and it is a result of maintaining a balance between water-surface interactions and water-water interactions. In our opinion, existence of this space region is one of the main factors that differentiates the hydrophobic hydration from hydration of the native form of kinesin. Its existence also explains why the density is greater for solvation water around the native form of the protein than in the vicinity of the hydrophobic surface.

The importance of the shape of the protein-water interface of a kinesin motor domain for dynamics of the surface atoms of the protein.

A single kinesin motor domain immersed in water has been investigated using molecular dynamics. It has been found that local properties of water in the solvation shell change along with the nature of the neighboring protein surface. However, a detailed analysis leads to the conclusion that the geometrical features of hydrogen bonds and overall structure of kinesin hydration water are not very different from bulk water. The local values of diffusion coefficients (translational and rotational) of water adjacent to specific patches on the protein surface seem not to be correlated to the orientational ordering of hydration water, but instead they depend on spatial roughness and degree of exposure of the patch to the solvent. Finally, a relationship between the mobility of various surface atoms of the protein and the mean values of the diffusion coefficient of the adjacent water molecules has been observed. The latter finding suggests a close relationship between the dynamics of the inner kinesin movements and the behavior of solvation water which is in turn determined by the topography of the contact surface between the protein and the surrounding water molecules.

The hydrogen bond network structure within the hydration shell around simple osmolytes: urea, tetramethylurea, and trimethylamine-N-oxide, investigated using both a fixed charge and a polarizable water model.

Despite numerous experimental and computer simulation studies, a controversy still exists regarding the effect of osmolytes on the structure of surrounding water. There is a question, to what extent some of the contradictory results may arise from differences in potential models used to simulate the system or parameters employed to describe physical properties of the mixture and interpretation of the results. Bearing this in mind, we determine two main aims of this work as follows: description of the water-water hydrogen bond network structure within the solvation layer around solute molecules (urea, trimethylamine-N-oxide, and tetramethylurea), and also comparison of rigid simple point charges (SPC) and polarizable (POL3) models of water. The following quantities have been examined: radial distribution functions of water molecules around the investigated solutes, both local and overall characteristics of the hydrogen bond network structure (using recently elaborated method), along with estimation of the mean energy of a single hydrogen bond, and also the probability distributions which describe the orientation of a single water particle plane relatively to the center of mass of the solute molecule. As an independent method for the evaluation of the degree of changes in local structural ordering, a harmonic approximation has been adopted to estimate the absolute entropy of water. It was found that within the solvation shell of the investigated solutes, the structure of hydrogen bond network changes only slightly comparing to bulk water. Therefore, we conclude that the investigated osmolyte molecules do not disturb significantly the structure of surrounding water. This conclusion was also confirmed by calculations of the absolute entropy of water using a harmonic approximation. In the immediate vicinity of the solutes, we observe that the water-water hydrogen bonds are slightly more stable; they are slightly less distorted and a little shorter than in bulk water. Nevertheless, although this local water structure is more stable and stiffer, our results do not indicate that it is more ordered compared to bulk. Finally, the comparison of both used models of water, the fixed charge and the polarizable, leads to unambiguous conclusion that rigid (SPC) water model may be successfully used in simulations instead of polarizable (POL3), as no significant differences between these two models have been observed.

Structural properties of hydration shell around various conformations of simple polypeptides.

In this paper we investigate structural properties of water within the solvation shell around the peptide core created by a well-defined conformation of polypeptide chain. The following secondary structures are investigated: linear (straight chain), and three helices PII (polyproline-like), 3(10), and alpha. We propose using the two-particle contribution to entropy as a rational measure of the water structural ordering within the solvation layer. This contribution divides into two terms, depending on the peptide-water and water-water interactions, respectively, and in this paper both terms are investigated. The structure of "solvation" water is described by the second term, and therefore it mainly attracts our attention. Determination of this term, however, is not an easy task, requiring some controversial approximations. Therefore, we have transformed this term to the form of some rational parameter which measures the local structural ordering of water within the solvation shell. Moreover, the results of several independent investigations are reported: we adopt the harmonic approximation for an independent estimation of the water entropy within the solvation shell, and we also study structure of the water-water hydrogen bond network, mean geometry of a single hydrogen bond, the self-diffusion coefficients (both translational and rotational) of water, and the mean lifetimes of water-water and water-peptide hydrogen bonds. All the obtained results lead to the conclusion that the local structure of water within the solvation shell changes only slightly in comparison to the bulk one. If so, the measure of local water ordering proposed by us is exploited with the aim to gain the deeper insight on the structural properties of "solvation" water. It has been shown that this parameter can be factored into three terms, which measure translational, configurational, and orientational ordering, respectively. Using this factoring, the ordering map for a precise description of the water local ordering has been built. An interesting correlation is observed: the points on this map lie approximately on the straight line, while the linear conformations clearly deviate from the general tendency. Further analysis of the obtained results allows us to express the supposition that an increasing local ordering of water around given secondary structure corresponds to an increasing relative stability of this structure in aqueous solution. Analyzing the geometry of the water-water hydrogen bond network within the solvation layer, we find some systematic deviations of this geometry from the bulk water properties. We also observe that the alanine peptides (excluding the linear form) disturb the hydrogen bond network in the less range, and in another way than the various conformations of polyglycine, while the linear form of polyalanine behaves very similarly to the glycine ones. Next, investigating the dynamic properties, we also conclude that water near the peptide surface creates a pseudorigid structure, a "halo" around the peptide core. This "halo" is stabilized by slightly higher energy of the hydrogen bonds network: we have found that within this region the hydrogen bonds network is slightly less distorted, the water-water hydrogen bonds are a little more stable and their mean lifetime is clearly longer that that of bulk water. Significant differences between the alanine- and glycine-based polypeptides are also visible. It has also been found that this solvation layer interacts with the polyalanine in another way than with polyglycine. Although in the case of the glycine-based polypeptide this layer slides relatively freely over the peptide surface, for the alanine-based polypeptide this sliding is strongly hindered by the presence of the methyl groups, and this effect is additionally enhanced by a rise in the solvation layer rigidity. Thus, the survey of various dynamic properties allows us to perceive and to explain distinct differences in behavior of water within the solvation shell around both glycine and alanine peptides.

Effects of urea and trimethylamine-N-oxide on the properties of water and the secondary structure of hen egg white lysozyme.

The influence of urea and trimethylamine-N-oxide (TMAO) on the structure of water and secondary structure of hen egg white lysozyme (HEWL) has been investigated. The hydration of these osmolytes was studied in aqueous solutions by means of FTIR spectra of HDO isotopically diluted in H(2)O. The difference spectra procedure was applied to remove the contribution of bulk water and thus to separate the spectra of solute-affected HDO. The structural-energetic characteristic of these solute-affected water molecules shows that, on average, water affected by TMAO forms stronger H-bonds and is more ordered than pure water. In the case of urea, the H-bonds are very similar to those in pure water. To facilitate the interpretation of the obtained spectral results, calorimetric measurements, DFT calculations, and molecular dynamics (MD) simulations of aqueous osmolyte clusters were performed. All of these results confirmed that the interactions of TMAO with water molecules are much stronger than those of urea with water. Additional ATR FTIR measurements were performed to characterize the influence of the examined osmolytes on the secondary structure of HEW lysozyme. The type of interactions (direct or indirect) was determined, based on the second derivatives of ATR protein spectra record during an increase in the osmolyte concentration. The changes in the amide I band shape caused by urea or TMAO were found to correlate quite well with changes in the water structure around these osmolytes.

Structural and dynamic properties of water within the solvation layer around various conformations of the glycine-based polypeptide.

Several conformations of the solvated glycine-based polypeptides were investigated using molecular dynamics simulations. Some properties of water in the neighboring space around these molecules were investigated. It was found that water forms a well-defined layer-the first solvation shell-around the peptide molecule, and thickness of this layer is independent of the peptide structure and is equal to approximately 0.28 nm. Within this layer, water molecules show marked orientations relative to a peptide surface. Using the two-particle contribution to entropy as a measure of structural ordering of water, we found that the first solvation shell contributes 95% or more to the total water ordering around the peptide molecule. In investigating the dynamic properties of water, diffusion coefficients and lifetime of the hydrogen bond, clear differences between solvation layer and the bulk water were observed. It was found that the translational diffusion coefficient, D(T), decreases by 30% or more compared to bulk water; also, the lifetime of the water-water hydrogen bond clearly increases. The rotational diffusion coefficient, however, decreases only slightly, no more than approximately 10%. These differences correspond to the slightly higher energy of the hydrogen bond, and to its slightly distorted geometry. Analyzing the translational dynamics of water in the vicinity of the peptide molecule, it was deduced that the structure of the first solvation shell becomes more rigid than the structure of the bulk water. Investigation of a "pure hydrophobic" form of the polypeptide shows that the structure and the properties of water within the solvation shell are predominantly determined by the hydrophobic effect. The specific interactions between water molecules and various charge groups of the peptide molecule modifies this effect only slightly.

Two-particle entropy and structural ordering in liquid water.

Entropies of simple point charge (SPC) water were calculated over the temperature range 278-363 K using the two-particle correlation function approximation. Then, the total two-particle contribution to the entropy of the system was divided into three parts, which we call translational, configurational, and orientational. The configurational term describes the contribution to entropy, which originates from spatial distribution of surrounding water molecules (treated as points, represented by the center of mass) around the central one. It has been shown that this term can serve as the metric of the overall orientational ordering in liquid water. Analyzing each of these three terms as a function of intermolecular distance, r, we also find a rational definition of the hydration shell around the water molecule; the estimated radii of the first and second hydration shells are 0.35 nm and 0.58 nm, respectively. We find, moreover, that the first hydration shell around the water molecule participates roughly in 70% of the total orientational entropy of water, and this rate is roughly temperature independent.