Water dimer

Last updated
Ball-and-stick model of the linear water dimer Water dimer.jpg
Ball-and-stick model of the linear water dimer

The water dimer consists of two water molecules loosely bound by a hydrogen bond. It is the smallest water cluster. Because it is the simplest model system for studying hydrogen bonding in water, it has been the target of many theoretical [1] [2] [3] (and later experimental) studies that it has been called a "theoretical Guinea pig". [4]

Contents

Structure and properties

The ab initio binding energy between the two water molecules is estimated to be 5-6 kcal/mol, although values between 3 and 8 have been obtained depending on the method. The experimentally measured dissociation energy (including nuclear quantum effects) of (H2O)2 and (D2O)2 are 3.16 ± 0.03 kcal/mol (13.22 ± 0.12 kJ/mol) [5] and 3.56 ± 0.03 kcal/mol (14.88 ± 0.12 kJ/mol), [6] respectively. The values are in excellent agreement with calculations. [7] [8] The O-O distance of the vibrational ground-state is experimentally measured at ca. 2.98 Å; [9] the hydrogen bond is almost linear, but the angle with the plane of the acceptor molecule is about 57°. The vibrational ground-state is known as the linear water dimer (shown in the figure to the right), which is a near prolate top (viz., in terms of rotational constants[ clarification needed ], A > B ≈ C). Other configurations of interest include the cyclic dimer and the bifurcated dimer.

History and relevance

The first theoretical study of the water dimer was an ab initio calculation published in 1968 by Morokuma and Pedersen. [10] Since then, the water dimer has been the focus of sustained interest by theoretical chemists concerned with hydrogen bonding—a search of the CAS database up to 2006 returns over 1100 related references (73 of them in 2005). In addition to serving as a model for hydrogen bonding, (H2O)2 is thought to play a significant role in many atmospheric processes, including chemical reactions, condensation, and solar energy absorption by the atmosphere. [11] [12] [13] In addition, a complete understanding of the water dimer is thought to play a key role in a more thorough understanding of hydrogen bonding in liquid and solid forms of water.

Related Research Articles

<span class="mw-page-title-main">Computational chemistry</span> Branch of chemistry

Computational chemistry is a branch of chemistry that uses computer simulations to assist in solving chemical problems. It uses methods of theoretical chemistry incorporated into computer programs to calculate the structures and properties of molecules, groups of molecules, and solids. The importance of this subject stems from the fact that, with the exception of some relatively recent findings related to the hydrogen molecular ion, achieving an accurate quantum mechanical depiction of chemical systems analytically, or in a closed form, is not feasible. The complexity inherent in the many-body problem exacerbates the challenge of providing detailed descriptions of quantum mechanical systems. While computational results normally complement information obtained by chemical experiments, it can occasionally predict unobserved chemical phenomena.

<span class="mw-page-title-main">Hydrogen bond</span> Intermolecular attraction between a hydrogen-donor pair and an acceptor

In chemistry, a hydrogen bond is primarily an electrostatic force of attraction between a hydrogen (H) atom which is covalently bonded to a more electronegative "donor" atom or group (Dn), and another electronegative atom bearing a lone pair of electrons—the hydrogen bond acceptor (Ac). Such an interacting system is generally denoted Dn−H···Ac, where the solid line denotes a polar covalent bond, and the dotted or dashed line indicates the hydrogen bond. The most frequent donor and acceptor atoms are the period 2 elements nitrogen (N), oxygen (O), and fluorine (F).

<span class="mw-page-title-main">Methyl radical</span> Chemical compound

Methyl radical is an organic compound with the chemical formula CH
3
. It is a metastable colourless gas, which is mainly produced in situ as a precursor to other hydrocarbons in the petroleum cracking industry. It can act as either a strong oxidant or a strong reductant, and is quite corrosive to metals.

In chemistry, a hypervalent molecule is a molecule that contains one or more main group elements apparently bearing more than eight electrons in their valence shells. Phosphorus pentachloride, sulfur hexafluoride, chlorine trifluoride, the chlorite ion in chlorous acid and the triiodide ion are examples of hypervalent molecules.

The bond-dissociation energy is one measure of the strength of a chemical bond A−B. It can be defined as the standard enthalpy change when A−B is cleaved by homolysis to give fragments A and B, which are usually radical species. The enthalpy change is temperature-dependent, and the bond-dissociation energy is often defined to be the enthalpy change of the homolysis at 0 K, although the enthalpy change at 298 K is also a frequently encountered parameter.

In chemistry, bond energy (BE) is one measure of the strength of a chemical bond. It is sometimes called the mean bond, bond enthalpy, average bond enthalpy, or bond strength. IUPAC defines bond energy as the average value of the gas-phase bond-dissociation energy for all bonds of the same type within the same chemical species.

<span class="mw-page-title-main">Ring strain</span> Instability in molecules with bonds at unnatural angles

In organic chemistry, ring strain is a type of instability that exists when bonds in a molecule form angles that are abnormal. Strain is most commonly discussed for small rings such as cyclopropanes and cyclobutanes, whose internal angles are substantially smaller than the idealized value of approximately 109°. Because of their high strain, the heat of combustion for these small rings is elevated.

In quantum chemistry, the quantum theory of atoms in molecules (QTAIM), sometimes referred to as atoms in molecules (AIM), is a model of molecular and condensed matter electronic systems in which the principal objects of molecular structure - atoms and bonds - are natural expressions of a system's observable electron density distribution function. An electron density distribution of a molecule is a probability distribution that describes the average manner in which the electronic charge is distributed throughout real space in the attractive field exerted by the nuclei. According to QTAIM, molecular structure is revealed by the stationary points of the electron density together with the gradient paths of the electron density that originate and terminate at these points.

Ab initio quantum chemistry methods are computational chemistry methods based on quantum chemistry. The term ab initio was first used in quantum chemistry by Robert Parr and coworkers, including David Craig in a semiempirical study on the excited states of benzene. The background is described by Parr. Ab initio means "from first principles" or "from the beginning", implying that the only inputs into an ab initio calculation are physical constants. Ab initio quantum chemistry methods attempt to solve the electronic Schrödinger equation given the positions of the nuclei and the number of electrons in order to yield useful information such as electron densities, energies and other properties of the system. The ability to run these calculations has enabled theoretical chemists to solve a range of problems and their importance is highlighted by the awarding of the Nobel prize to John Pople and Walter Kohn.

Quantum chemistry composite methods are computational chemistry methods that aim for high accuracy by combining the results of several calculations. They combine methods with a high level of theory and a small basis set with methods that employ lower levels of theory with larger basis sets. They are commonly used to calculate thermodynamic quantities such as enthalpies of formation, atomization energies, ionization energies and electron affinities. They aim for chemical accuracy which is usually defined as within 1 kcal/mol of the experimental value. The first systematic model chemistry of this type with broad applicability was called Gaussian-1 (G1) introduced by John Pople. This was quickly replaced by the Gaussian-2 (G2) which has been used extensively. The Gaussian-3 (G3) was introduced later.

<span class="mw-page-title-main">Water cluster</span> Cluster of water molecules held together through hydrogen bonding

In chemistry, a water cluster is a discrete hydrogen bonded assembly or cluster of molecules of water. Many such clusters have been predicted by theoretical models (in silico), and some have been detected experimentally in various contexts such as ice, bulk liquid water, in the gas phase, in dilute mixtures with non-polar solvents, and as water of hydration in crystal lattices. The simplest example is the water dimer (H2O)2.

<span class="mw-page-title-main">Tetranitrogen</span> Chemical compound

Tetranitrogen is a neutrally charged polynitrogen allotrope of the chemical formula N
4
and consists of four nitrogen atoms. The tetranitrogen cation is the positively charged ion, N+
4
, which is more stable than the neutral tetranitrogen molecule and is thus more studied.

Titanium(IV) hydride is an inorganic compound with the empirical chemical formula TiH
4
. It has not yet been obtained in bulk, hence its bulk properties remain unknown. However, molecular titanium(IV) hydride has been isolated in solid gas matrices. The molecular form is a colourless gas, and very unstable toward thermal decomposition. As such the compound is not well characterised, although many of its properties have been calculated via computational chemistry.

<span class="mw-page-title-main">Nitrogen difluoride</span> Chemical compound

Nitrogen difluoride, also known as difluoroamino, is a reactive radical molecule with formula NF2. This small molecule is in equilibrium with its dimer tetrafluorohydrazine.

<span class="mw-page-title-main">Dinitrogen dioxide</span> Chemical compound

Dinitrogen dioxide is an inorganic compound having molecular formula N
2
O
2
. Many structural isomers are possible. The covalent bonding pattern O=N–N=O is predicted to be the most stable isomer based on ab initio calculations and is the only one that has been experimentally produced. In the solid form, the molecules have C2v symmetry: the entire structure is planar, with the two oxygen atoms cis across the N–N bond. The O–N distance is 1.15 Å, the N–N distance is 2.33 Å, and the O=N–N angle is 95°.

Argon compounds, the chemical compounds that contain the element argon, are rarely encountered due to the inertness of the argon atom. However, compounds of argon have been detected in inert gas matrix isolation, cold gases, and plasmas, and molecular ions containing argon have been made and also detected in space. One solid interstitial compound of argon, Ar1C60 is stable at room temperature. Ar1C60 was discovered by the CSIRO.

<span class="mw-page-title-main">Geerd Diercksen</span> German theoretical chemist (born 1936)

Geerd Heinrich Friedrich Diercksen is a German theoretical chemist and a pioneer in computational chemistry. In 1963 he was awarded his PhD, supervised by Heinz-Werner Preuß at the Johann Wolfgang Goethe-Universität in Frankfurt am Main, in 1973 he was awarded his habilitation in Chemistry by the Technische Universität München and in 1983 he was appointed professor. From 1965 to 2001 he worked as scientific staff at the Max-Planck-Institut für Astrophysik and since 2001 he works there as scientist emeritus.

<span class="mw-page-title-main">Diargon</span> Chemical compound

Diargon or the argon dimer is a molecule containing two argon atoms. Normally, this is only very weakly bound together by van der Waals forces. However, in an excited state, or ionised state, the two atoms can be more tightly bound together, with significant spectral features. At cryogenic temperatures, argon gas can have a few percent of diargon molecules.

<span class="mw-page-title-main">Hydrogen ditelluride</span> Chemical compound

Hydrogen ditelluride or ditellane is an unstable hydrogen dichalcogenide containing two tellurium atoms per molecule, with structure H−Te−Te−H or (TeH)2. Hydrogen ditelluride is interesting to theorists because its molecule is simple yet asymmetric and is predicted to be one of the easiest to detect parity violation, in which the left handed molecule has differing properties to the right handed one due to the effects of the weak force.

Frank A. Weinhold is an American chemist, academic and author. He is an Emeritus Professor of Chemistry at the University of Wisconsin–Madison.

References

  1. Buckingham, A. D. The hydrogen bond, and the structure and properties of water and the water dimer. Journal of Molecular Structure1991, 250, 111-18.
  2. Goldman, N., Leforestier, C., and Saykally, R. J., Water Dimers in the Atmosphere II: Results from the VRT(ASP-W)III Potential Surface, Journal of Physical Chemistry A, 2004, 108, p. 787-794.
  3. Schütz, M.; Brdarski, S.; Widmark, P.-O.; Lindh, R.; Karlström, G. The water dimer interaction energy: Convergence to the basis set limit at the correlated level, Journal Chemical Physics, 1997, 107, 4597-4605.
  4. Jeffrey, G. A.; An Introduction to Hydrogen Bonding (Topics in Physical Chemistry). Oxford University Press, USA (March 13, 1997). ISBN   0-19-509549-9
  5. Rocher-Casterline, B. E.; Ch'ng, L. C.; Mollner, A. K.; Reisler, H. Journal of Chemical Physics2011, 115, 6903-6909 doi:10.1063/1.3598339
  6. Ch'ng, L. C.; Samanta, A. K.; Czakó, G.; Bowman, J. M.; Reisler, H. Journal of American Chemical Society2012, 134, 15430 doi:10.1021/ja305500x
  7. Shank, A.; Wang, Y.; Kaledin, A.; Braams, B. J.; Bowman. J. M. Journal of Chemical Physics2009, 130, 144314 doi:10.1063/1.3112403
  8. Leforestier, C.; Szalewicz, K.; van der Avoird, A. Journal of Chemical Physics2012, 137, 014305 doi:10.1063/1.4722338
  9. Scheiner, S. Ab initio studies of hydrogen bonds: the water dimer paradigm. Annual Review of Physical Chemistry1994, 45, 23-56.
  10. Morokuma, K.; Pedersen, L. Molecular-orbital studies of hydrogen bonds. An ab initio calculation for dimeric water. Journal of Chemical Physics1968, 48, 3275-3282.
  11. Tretyakov, M. Yu; Koshelev, M. A.; Serov, E. A.; Parshin, V. V.; Odintsova, T. A.; Bubnov, G. M. (2014). "Water dimer and the atmospheric continuum". Physics-Uspekhi. 57 (11): 1083–1098. Bibcode:2014PhyU...57.1083T. doi:10.3367/UFNe.0184.201411c.1199. S2CID   123138629 . Retrieved 23 June 2022.
  12. Anglada, J.M.; Sole', A. (2016). "Impact of the water dimer on the atmospheric reactivity of carbonyl oxides". Physical Chemistry Chemical Physics. 18 (26): 17689–17712. Bibcode:2016PCCP...1817698A. doi:10.1039/C6CP02531E. hdl: 2445/118855 . PMID   27308802 . Retrieved 23 June 2022.
  13. Saykally, R.J. (2013). "Simplest Water Cluster Leaves Behind its Spectral Fingerprint". Physics. 6: 22. Bibcode:2013PhyOJ...6...22S. doi: 10.1103/Physics.6.22 . Retrieved 23 June 2022.