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Molecular Orbitals for Water (H2O)

H2O molecular orbitals

 

The five occupied and the lowest three unoccupied molecular orbitals of the isolated molecule (1a1)2(2a1)2(1b2)2(3a1)2(1b1)2 were calculated using the Restricted Hartree-Fock wave function (RHF) using the 6-31G** basis set. b (experimental data is given in [1289]). They are set out with the lowest energy (that is, most negative energy) molecular orbitals at the bottom. They are all given in the xz plane (z-axis upwards) except 1b1 and 3a1, which are in the yz plane (z-axis upwards).a The two lowest energy orbitals 1a1 and 2a1 are contributed from the 1s and 2s (mostly) orbitals of the oxygen atom, respectively, and are consequentially approximately spherical. The three highest energy occupied orbitals (1b2, 3a1, 1b1) are orthogonal around the oxygen atom and without obvious sp3 hybridization characteristics.

 

The relative energies of these orbitals have been found to be somewhat different from these theoretical values. The lowest energy transitions are broad at 7.61 and 9.36 eV for the 3s/4a1←1b1 (Atilde 11B1) and 3s/4a1←3a1 (Btilde 21A1) transitions respectively [1561] for the gas phase and at 8.09 and 9.74 eV in the liquid [1561, 1562].

 

The highest occupied molecular orbital (HOMO), 1b1, is predominantly pz2 in character with no contribution from the hydrogen 1s orbital and mainly contributes to the "lone pair" effects. The 2a1, 1b2 and 3a1 all contribute to the O-H bonds. The two lowest unoccupied molecular orbitals 4a1 (LUMO) and 2b2 are O-H antibonding orbitals, seen in X-ray spectroscopy. They have greatest electron densities around the O-atom whereas orbital 3b2 has greatest electron density around the H-atoms. The experimental binding energy of the 1a1 orbital in the gas phase is 539.9 eV [1227].

 

These orbitals are appreciably changed in ice and water; the experimental electron binding energies in liquid water being 2a1 30.90 eV, 1b2 17.34 eV, 3a1 13.50 eV, 1b1 11.16 eV [877]. The experimental binding energy of the 1a1 orbital in the liquid phase consists of a broad energy distribution centered about 538.1 eV plus a smaller contribution at 536.6 eV within the tetrahedrally hydrogen bonded bulk [1227]. The 1b2 and 3a1 orbitals are largely responsible for the donation of hydrogen bonding with the 3a1 orbital shown experimentally to contribute the most [411]. Also, the 4a1 and 2b2 antibonding orbitals are reported to be partially occupied in hydrogen bond formation, receiving electron density from donor 1b1 orbitals [814].

 

The potentials of the ground and core-excited (4a1, 2b2 and 2b1) states of gas-phase water have been described [2906]

 

An interactive structure with orbitals is available (COW [Plug-in, ActiveX] only).

 


Footnote

The axes for the water molecule, showing the planes of symmetry (xz and yz) and the two-fold axis of rotation (C2, z-axis)

a The nomenclature is based upon the symmetry of the orbitals. The figure right shows the planes of symmetry (xz and yz) and the two-fold axis of rotation (C2, z-axis).

 

If the orbitals are unchanged (that is, symmetric) with respect to the planes of symmetry (xz and yz) and the two-fold axis of rotation (C2) then they are denoted as 'a1' orbitals and numbered from the lowest energy (i.e. 1a1 is the lowest energy a1 orbital). If the sign of the orbital changes with respect to 180° rotation about C2 and reflection through the xz plane it is b1, whereas if the sign of the orbital changes with respect to 180° rotation about C2 and reflection through the yz plane it is b2. An a2 orbital has no change in sign with respect to 180° rotation about C2 but changes sign on reflection through both xz and yz planes (for example, the 9th lowest unoccupied molecular orbital for H2O). [Back]

 

 

b The 6-31G** basis set. Orbitals represented by 6 Gaussian functions near the nucleus and 3 away from the nucleus with one Gaussian for hydrogen atoms. Polarization by means of d-functions on first row atoms including hydrogens. [Back]

 

 

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This page was established in 2001 and last updated by Martin Chaplin on 23 May, 2017


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