The analytical potential energy function of HDO is constructed at first using the many-body expansion method. The reaction dynamics of O＋HD （v = 0, j = 0） in five product channels are all studied by quasi-classical trajectory （QCT） method. The results show that the long-lived complex compound HDO is the dominant product at low collision energy. With increasing collision energy, O＋HD → OH＋D and O＋HD → OD＋H exchange reactions will occur with remarkable characteristics, such as near threshold energies, different reaction probabilities, and different reaction cross sections, implying the isotopic effect between H and D. With further increasing collision energy （e.g., up to 502.08 kJ/mol）, O＋HD → O＋H＋D will occur and induce the complete dissociation into single O, H, and D atoms.
Employing the density functional theory, we investigate the lowest-energy geometric, the stable and the electronic properties of Ag_n-lY （n = 2-10） clusters in this paper. The structural optimization and the frequency analysis are performed at the B3LYP/LANL2DZ level. Meanwhile, the differences in geometry, stability and electronic properties between Agn and Ag_n-lY （n = 2-10） clusters are also studied. The results show that for the doping of the yttrium atoms, the structures and the average binding lengths of the Agn clusters are greatly changed. In addition, the thermodynamic stabilities of the Agn clusters are enhanced generally with the doping of the Y atoms. In addition, the chemical stabilities of the Ag_n-lY clusters are still improved compared with that of the three-dimensional Agn clusters.
The possible geometrical and the electronic structures of small MgnNi （n = 1 - 7） clusters are optimised by the density functional theory with a LANL2DZ basis set. The binding energy, the energy gap, the electron affinity, the dissociation energy and the second difference in energy are calculated and discussed. The properties of MgnNi clusters are also discussed when the number of Mg atom increases.
The dissociation limits of isotopic water molecules are derived for the ground state. The equilibrium geometries, the vibrational frequencies, the force constants and the dissociation energies for the ground states of all isotopic water molecules under the dipole electric fields from -0.05 a.u. to 0.05 a.u. are calculated using B3P86/6-311＋＋G（3df,3pf）. The results show that when the dipole electric fields change from -0.05 a.u. to 0.05 a.u., the bond length of H-O increases whereas the bond angle of H-O H decreases because of the charge transfer induced by the applied dipole electric field. The vibrational frequencies and the force constants of isotopic water molecules change under the influence of the strong external torque. The dissociation energies increase when the dipole electric fields change from -0.05 a.u. to 0.05 a.u. and the increased dissociation energies are in the order of H2O, HDO, HTO, D2O, DTO, and T2O under the same external electric fields.
The geometries of MgnNi2（n = 1 6） clusters are studied by using the hybrid density functional theory （B3LYP） with LANL2DZ basis sets. For the ground-state structures of MgnNi2 clusters, the stabilities and the electronic properties are investigated. The results show that the groundstate structures and symmetries of Mg clusters change greatly due to the Ni atoms. The average binding energies have a growing tendency while the energy gaps have a declining tendency. In addition, the ionization energies exhibit an odd-even oscillation feature. We also conclude that n = 3, 5 are the magic numbers of the MgnNi2 clusters. The Mg3Ni2 and Mg5Ni2 clusters are more stable than neighbouring clusters, and the MgaNi2 cluster exhibits a higher chemical activity.
