Hydrogen atoms in the diamond vacancy defect. A quantum mechanical vibrational analysis
Résumé
The VH1 defect in diamond (one hydrogen atom saturating one of the four dangling bonds of the carbon atoms surrounding a vacancy) is investigated at the quantum mechanical level by using the periodic supercell approach, an all electron Gaussian type basis set, “hybrid” functionals and the Crystal code with two supercells. Both spin states, characterized by Sz = 1/2 and Sz = 3/2 and resulting from the unpaired electrons on the three unsaturated carbon atoms around the vacancy, have been investigated. The doublet state View the MathML sourceVH1d turns out to be more stable by 0.34 eV than the quadruplet View the MathML sourceVH1q. The band structure, charge and spin density distributions are analyzed. The two states present very different IR spectra, with peaks that can be used for their characterization. In particular the CH stretching peak can vary by as much as 400 cm−1: from about 2800 cm−1 for View the MathML sourceVH1q to about 3200 cm−1 for View the MathML sourceVH1d in the harmonic approximation. Anharmonicity is quite important but very different in the two cases: for the C-H stretching, about 330 cm−1 for View the MathML sourceVH1q and only 190 cm−1 for View the MathML sourceVH1d, so that the final anharmonic wavenumbers differ by as much as 500 cm−1