Chemists have long recognized water as a substance having unusual and unique properties that one would not at first sight expect from a small molecule having the formula H2O. It is generally agreed that the special properties of water stem from the tendency of its molecules to associate, forming short-lived and ever-changing polymeric units that are sometimes described as "clusters". These clusters are more conceptual than physical in nature; they have no directly observable properties, and their transient existence (on the order of picoseconds) does not support an earlier view that water is a mixture of polymers (H2O)n in which n can have a variety of values. Instead, the currently favored model of water is one of a loosely connected network that might best be described as one huge "cluster" whose internal connections are continually undergoing rearrangement.Chemists have long recognized water as a substance having unusual and unique properties that one would not at first sight expect from a small molecule having the formula H2O. It is generally agreed that the special properties of water stem from the tendency of its molecules to associate, forming short-lived and ever-changing polymeric units that are sometimes described as "clusters". These clusters are more conceptual than physical in nature; they have no directly observable properties, and their transient existence (on the order of picoseconds) does not support an earlier view that water is a mixture of polymers (H2O)n in which n can have a variety of values. Instead, the currently favored model of water is one of a loosely connected network that might best be described as one huge "cluster" whose internal connections are continually undergoing rearrangement.
ABOUT WATER: Water has long been known to exhibit many physical properties that distinguish it from other small molecules of comparable mass. Chemists refer to these as the "anomalous" properties of water, but they are by no means mysterious; all are entirely predictable consequences of the way the size and nuclear charge of the oxygen atom conspire to distort the electronic charge clouds of the atoms of other elements when these are chemically bonded to the oxygen.
A covalent chemical bond consists of a pair of electrons shared between two atoms. In the water molecule H2O, the single electron of each H is shared with one of the six outer-shell electrons of the oxygen, leaving four electrons, which are organized, into two non-bonding pairs. Thus the oxygen atom is surrounded by four electron pairs that would ordinarily tend to arrange themselves as far from each other as possible in order to minimize repulsions between these clouds of negative charge. This would ordinarily result in a tetrahedral geometry in which the angle between electron pairs (and therefore the H-O-H bond angle) is 109°. However, because the two non-bonding pairs remain closer to the oxygen atom, these exert a stronger repulsion against the two covalent bonding pairs, effectively pushing the two hydrogen atoms closer together. The result is a distorted tetrahedral arrangement in which the H—O—H angle is actually 104.5°.
Because molecules are smaller than light waves, they cannot be observed directly, and must be "visualized" by alternative means. The two computer-generated images of the H2O molecule shown on the right and below come from calculations that model the electron distribution in molecules. The outer envelopes show the effective "surface" of the molecule as defined by the extent of the electron cloud
The H2O molecule is electrically neutral, but the positive and negative charges are not distributed uniformly. This is shown clearly by the gradation in color from green to purple in the image at the above right, and in the schematic diagram to the left. The electronic (negative) charge is concentrated at the oxygen end of the molecule, partly because of the nonbonding electrons (solid blue-gray circles), and to oxygen's high nuclear charge that exerts stronger attractions on the electrons. This charge displacement constitutes an electric dipole, represented by the red arrow at the bottom of the picture below. You can think of this dipole as the electrical "image" of a water molecule.
As we all learned in school, opposite charges attract, so the partially positive hydrogen atom on one water molecule is electrostatically attracted to the partially negative oxygen on a neighboring molecule. This process is called (somewhat misleadingly) hydrogen bonding. Notice that the hydrogen bond (shown by the dashed blue line) is somewhat longer (117 pm) than the covalent O—H bond (99 pm). This means that it is considerably weaker. It is so weak, in fact that any hydrogen bond between water molecules cannot survive for more than a tiny fraction of a second. This is an important thing to understand, especially as we discuss water “clusters” in greater detail.

H2O molecules attract each other through the special type of dipole-dipole interaction known as hydrogen bonding.
A hydrogen-bonded cluster in which four H2Os are located at the corners of an imaginary tetrahedron is an especially favorable (low-potential energy) configuration, but...
These molecules undergo rapid thermal motions on a time scale of picoseconds (10–12 second), so that the lifetime of any specific clustered configuration of water will be fleetingly brief!
A variety of techniques, including infrared absorption, neutron scattering, and nuclear magnetic resonance, have been used to probe the microscopic structure of water. The information compiled from these experiments and from theoretical calculations has led to the development of around twenty different "models" that attempt to explain the structure and the behavior of water. More recently, computer simulations of various kinds have been employed to explore how well these models are able to predict the observed physical properties of water.
This work has led to a gradual refinement of our views about the structure of liquid water, but it has not produced any definitive answer. There are several reasons for this. The principal conclusion is that the very concept of "structure" (and of water "clusters") depends on both the time frame and volume under consideration. Thus questions of the following kinds still challenge scientists:
How do you distinguish the members of a "cluster" from adjacent molecules that are not in that cluster?
Since individual hydrogen bonds are continually breaking and re-forming on a picosecond’s time scale, do water clusters have any meaningful existence over longer periods of time? In other words, clusters are transient, whereas "structure" implies a molecular arrangement that is more enduring.
Can we then legitimately use the term "clusters" in describing the structure of water?
The possible locations of neighboring molecules around a given H2O are limited by energetic and geometric considerations, thus giving rise to a certain amount of "structure" within any small volume element. It is not clear, however, to what extent these structures interact as the size of the volume element is enlarged.
As mentioned above, to what extent are these structures maintained for periods longer than a few picoseconds?
The first theory developed in the 1950's is that water is a collection of "flickering clusters" of varying sizes (see diagram at the right). This theory has gradually been abandoned because it is unable to account for many of the observed properties of the water. The current belief, influenced greatly by molecular modeling simulations beginning in the 1980s, is that on a very short time scale (less than a picosecond), water is more like a "gel" consisting of a single, huge hydrogen-bonded cluster. On a 10-12-10-9 second time scale, rotations and other thermal motions cause individual hydrogen bonds to break and re-form into new configurations, inducing ever-changing local discontinuities whose extent and influence depends on the temperature and pressure.
It is quite likely that when water is in very small volumes, localized (H2O)n, (where “n” represents any specified number of molecules,) polymeric clusters may have a fleeting existence, and many theoretical calculations have been made showing that some combinations may be more stable than others. It does not appear that these “more stable” clusters remain intact long enough to actually be detected directly as observable entities in ordinary water at normal pressures.
Think of liquid water of as a seething mass of H2O molecules in which hydrogen-bonded clusters are continually forming, breaking apart, and re-forming.
Theoretical models suggest that an average cluster may encompass as many as 90 H2O molecules at 0°C, so that very cold water can be thought of as a collection of ever-changing ice-like structures. At 70° C, the average cluster size is probably no greater than about 25.
Prof. Martin Chapin of the London South Bank University has reviewed much of the existing literature on water clustering, and has recently proposed an icosohedral clustering model in which twenty 14-molecule tetrahedral units form an icosohedron containing a total of 280 H2O units. This model is consistent with X-ray diffraction data and is able to explain all of the unusual properties of water.
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It must be emphasized that no stable clustered unit or arrangement of water molecules has ever been isolated or identified in pure bulk liquid water! |
Why study water molecules?
The principal finding was that 80 percent of the water molecules are bound in chain-like fashion to only two other molecules at room temperature, thus supporting the prevailing view of a dynamically-changing, disordered water structure.
The dashed lines in this 2-dimensional schematic diagram on the left represent the hydrogen bonds. In reality, the four bonds from each O atom point toward the four corners of a tetrahedron centered on the O atom. This basic assembly repeats itself in three dimensions to build the ice crystal.
When ice melts to form liquid water, the uniform three-dimensional tetrahedral organization of the solid breaks down as thermal motions disrupt, distort, and occasionally break hydrogen bonds. The methods used to determine the positions of molecules in a solid do not work with liquids, so there is no unambiguous way of determining the detailed structure of water. The illustration to the right is probably typical of the arrangement of neighboring water molecules surrounding any particular H2O molecule, but very little is known about the extent to which an arrangement like this is replicated to more distant molecules. 
Water is almost unique among the more than 15 million known chemical substances in that its solid form is less dense than the liquid form. The plot at the right shows how the volume of water varies with the temperature.
The large increase (about 9%) at freezing shows why ice floats on water and why pipes burst when they freeze. The expansion between –4° and 0° is due to the formation of larger clusters. Above 4°, thermal expansion sets in as the thermal vibrations of the O—H bonds becomes more vigorous which pushes the molecules farther apart.
The other widely cited anomalous property of water is its high boiling point. As this graph shows, a molecule as light as H2O "should" boil at around –90°C. That is, it should exist in the world as a gas rather than as a liquid, if H-bonding were not present. Notice that H-bonding is also observed with fluorine and nitrogen.
Have you ever watched an insect walk across the surface of a pond? The water strider takes advantage of the fact that the water surface acts like an elastic film that resists deformation when a small weight is placed on it. (If you are careful, you can also "float" a small paper clip or steel staple on the surface of water in a cup.) This is all due to the surface tension of the water. A water molecule within the bulk of a liquid is attracted to neighboring molecules in all directions. But since these charges average out to “zero”, there is actually no net force on the molecule. For a molecule at the surface of a liquid, the situation is quite different. The surface molecules experience forces only sideways and downward, and this is what creates a stretched-membrane effect.
The distinction between molecules located at the surface and those deep inside a liquid is especially prominent in H2O because of water’s very strong hydrogen-bonding forces. The difference between the forces of a molecule at the surface and one in the bulk liquid gives rise to the liquid's surface tension.
This drawing at the left highlights two H2O molecules, one at the surface, and the other in the bulk of the liquid. The surface molecule is attracted to its neighbors below and to either side, but there are no attractions above the surface. As a consequence, a molecule at the surface will tend to be drawn into the bulk of the liquid. But since there must always be some surface, the overall effect is to minimize the surface area of a liquid. The geometric shape that has the smallest ratio of surface area to volume is the sphere, so very small quantities of liquids tend to form spherical drops. As the drops get bigger, their weight deforms them into the typical tear shape.

When a liquid is in contact with a solid surface, its behavior depends on the relative magnitudes of the surface tension forces and the attractive forces between the molecules of the liquid and of those comprising the surface the water is in contact with. If an H2O molecule is more strongly attracted to its own “kind”, then surface tension will dominate, increasing the curvature of the water drop. This is what happens at the interface between water and hydrophobic surfaces like plastic mixing bowls or windshields coated with oily residues. A clean glass surface, by contrast, has -OH groups sticking out of the surface that readily attach to water molecules through hydrogen bonding. This causes the water to spread out evenly over the surface, or to “wet” it. A liquid will wet a surface if the angle at which it makes contact with the surface is more than 90°. The value of this contact angle can be predicted by understanding the separate properties of the liquid and solid.
If we want water to wet a surface that is not ordinarily wettable, we add a detergent to the water to reduce its surface tension. A detergent is a special kind of molecule in which one end is attracted to H2O molecules but the other end is not; the latter ends stick out above the surface and repel each other, canceling out the surface tension forces due to the water molecules alone.
As explained above, bulk liquid water consists of a seething mass of various-sized chain-like groups and that flicker in and out of existence on a time scale of picoseconds. But in the vicinity of a solid surface or of another molecule or ion that possesses an unbalanced electric charge, water molecules can become oriented and sometimes even bound into relatively stable structures.
Water in ionic hydration shells
Water molecules interact strongly with ions, which are electrically charged atoms or molecules. Dissolution of ordinary salt (NaCl) in water yields a solution containing the ions Na+ and Cl –. Owing to its high polarity, the H2O molecules closest to the dissolved ion are strongly attached to it, forming what is known as the inner or primary hydration shell. Positively charged ions such as Na+ attract the negative (oxygen) ends of the H2O molecules, as shown in the diagram below. The ordered structure within the primary shell creates, through hydrogen bonding, a region in which the surrounding waters are also somewhat ordered; this is the outer hydration shell, or cybotactic region.
Some recent experiments have revealed a degree of covalent bonding between the d-orbitals of transition metal ions and the oxygen atoms of water molecules in the inner hydration shell.
Water can hydrogen bond not only to itself, but also to any other molecules that have -OH or -NH2 units hanging off of them. This includes simple molecules such as alcohols, surfaces such as glass, and macromolecules such as proteins. The biological activity of proteins (of which enzymes are an important subset) is critically dependent not only on their composition but also on the way these huge molecules are folded; this folding involves hydrogen-bonded interactions with water, and also between different parts of the molecule itself. Anything that disrupts these intramolecular hydrogen bonds will denature the protein and destroy its biological activity. This is essentially what happens when you boil an egg; the bonds that hold the egg white protein in its compact folded arrangement break apart so that the molecules unfold into a tangled, insoluble mass that, like Humpty Dumpty, cannot be restored to their original forms. Note that hydrogen-bonding need not always involve water; thus the two parts of the DNA double helix are held together by H—N—H hydrogen bonds.

The picture above, taken from the work of William Royer Jr. of the U. Mass. Medical School, shows the water structure (small green circles) that exists in the space between the two halves of a kind of dimeric hemoglobin. The thin dotted lines represent hydrogen bonds. Owing to the geometry of the hydrogen-bonding sites on the heme protein backbones, the H2O molecules within this region are highly ordered; the local water structure is stabilized by these hydrogen bonds, and the resulting water cluster in turn stabilizes this particular geometric form of the hemoglobin dimer. More diagrams, with commentary, can be found on Prof. Royer's Web site.
In 2003, some chemists in India found that a suitable molecular backbone (above) may even cause water molecules to form a "thread" that can snake its way though the more open space of the larger molecules. What all of these examples show is that water can have highly organized local structures when it interacts with molecules capable of imposing these structures on the water.
The "alternative" health market is full of goofy products which purport to alter the structure of water by stabilizing groups of H2O molecules into permanent clusters of 4-8 molecules, or alternatively, to break up what they claim are the larger clusters (usually 10-15 molecules) that they say normally exist in water. The object in either case is to promote the flow of water into the body's cells ("cellular hydration"). This is of course utter nonsense; there is no credible scientific evidence for any of these claims, many of which verge on the bizarre. There are even some scientifically absurd U.S. Patents for the manufacture of so-called "Clustered Water™". At least 20 products that we are aware of, of this kind, are offered to the scientifically naive public through hundreds of Web sites and late-night radio "infomercials". None of these claims is supported by credible evidence.
Water Clusters. K. Liu, J.D. Cruzan, and R.J. Saykally. Science 1996 929-993 - A summary of experimental data on the structures, energetics and dynamics of small clusters, and comparisons with theoretical predictions.
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