a College of Physical Science, Qingdao University, Qingdao 266071, China; b College of Physics and Information Engineering, Henan Normal University, Xinxiang 453007, China
Abstract The density functional theory method (DFT) (b3p86) of Gaussian 03 has been used to optimize the structure of the Mn2 molecule. The result shows that the ground state of the Mn2 molecule is an 11-multiple state, indicating a spin polarization effect in the Mn2 molecule, a transition metal element molecule. Meanwhile, we have not found any spin pollution because the wavefunction of the ground state does not mingle with wavefunctions of higher-energy states. So the ground state for Mn2 molecule being of an 11-multiple state is the indicative of spin polarization effect of the Mn2 molecule among those in the transition metal elements: that is, there are 10 parallel spin electrons in a Mn2 molecule. The number of non-conjugated electrons is the greatest. These electrons occupy different spacious orbitals so that the energy of the Mn2 molecule is minimized. It can be concluded that the effect of parallel spin in the Mn2 molecule is larger than the effect of the conjugated molecule, which is obviously related to the effect of electron d delocalization. In addition, the Murrell--Sorbie potential functions with the parameters for the ground state and other states of the Mn2 molecule are derived. The dissociation energy De for the ground state of the Mn2 molecule is 1.4477eV, equilibrium bond length Re is 0.2506nm, vibration frequency $\omega$e is 211.51cm-1. Its force constants f2, f3, and f4 are 0.7240aJ$\cdot$nm-2, -3.35574aJ$\cdot$nm-3, 11.4813aJ$\cdot$nm-4 respectively. The other spectroscopic data for the ground state of the Mn2 molecule $\omega$e$\chi$e, Be, $\alpha$e are 1.5301 cm-1, 0.0978 cm-1, 7.7825$\times$ 10-4cm-1 respectively.
Received: 15 July 2006
Revised: 23 January 2006
Accepted manuscript online:
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