Wavepacket dynamics and quantum mechanical energy densities in the quartet N+ 2 + O2 system

Surface crossing of the potential energy surfaces (PESs) and the formulation of differentiable PES functions are discussed in the quartet N⁺ ₂ + O₂ system containing the T shape intermediate complex. Consideration of the ion-dipole interaction between N₂ and O₂ fragments due to the induced dipole moment of the neutral molecule gives a good image of the surface crossing between the quartet reactant state (N⁺ ₂ ···O₂) and the quartet product state (N₂ ···O⁺ ₂) for the charge transfer (CT) reaction in terms of the conventional harpooning mechanism. Differentiable functions of PESs are constructed for the reactant and product states that may be applied for 3-dimensional dynamics calculations by means of wavepackets, and examples of 2-dimensional wavepacket dynamics calculations are introduced. Further, electron transfer processes and local electronic nature in the CT reaction are discussed in terms of the quantum mechanical energy densities based on regional density functional theory. Regional partitioning by using the kinetic energy density provides a new concept of electron transfer, and the tension density provides new images of microscopic electronic stresses.     

Theoretical study of low lying electronic states of GdO

Low lying electronic states of GdO have been investigated by complete active space SCF (CASSCF) and multireference singly and doubly excited configuration interaction (MRSDCI) calculations using the model core potential (MCP) method. The 4f electrons of Gd were included explicitly in the valence space. Relativistic effects were incorporated in the MCP and basis sets for Gd at the level of Cowan and Griffin's quasirelativistic Hartree—Fock method. The ⁹Σ^? state (f⁷σ) was the ground state, and excited states, ⁹Δ, ⁹Π, 2⁹Σ^?, ⁷Σ^?, ⁷Δ, ⁷Π, and 2⁷E^?, lay between 0 ～ 22 300 cm^?1. The energy separations for these states agreed well with available experimental values. Calculated GdO bond lengths and vibrational frequencies for these states are in the ranges of 1.81–1.85 Å and of 800–880 cm^?1, respectively. Mulliken population analysis showed that the gross population of the 4f orbitals was 7.1 e for all these states, and that the 4f electrons were strongly localized on Gd atom. The effective charge distribution was approximated to be Gd⁺O^?. The σ and π bonding orbitals were mainly formed by Gd 5d and O 2p orbitals.     

Quantum chemical calculations on Al-CVD using DMEAA: surface reaction mechanism of AlH3 on Al(111)

An investigation has been made of the elementary surface reactions of alane and its surface dissociation products using density functional theory and a cluster model to elucidate the reaction mechanism of the deposition of aluminium in aluminium chemical vapour deposition (Al-CVD) using dimethylethylamine alane (DMEAA). Molecular structures, potential energies, and normal mode frequencies of the reactants, the products, and the transition states were calculated for each of the surface elementary reactions. Based on transition state theory, rate constants were estimated from the calculation results. The proposed reaction mechanism is the following. DMEAA is adsorbed onto an aluminium surface without any dissociation in the gas phase; DMEAA dissociates into dimethylethylamine (DMEA) and alane on the surface; DMEA is desorbed and alane remains adsorbed; the adsorbed alane molecules dissociate to AlH₂, AlH, and H on the surface; hydrogen molecules to be desorbed are produced from the hydrogen atoms of AlH whose aluminium atoms form a quasi-aluminium surface on the original surface. The cluster size and structure dependence in quantum chemical calculations has also been considered using model clusters.     

采用共轭梯度法的管内壁温度导热反问题求解

建立了采用共轭梯度法的非稳态二维导热反问题数学模型,并利用FORTRAN语言编写了程序进行计算求解,由同心圆管外壁温度随时间的变化得到管内壁温度随时间的变化.计算结果表明,计算值与准实验值吻合,共轭梯度法能够准确地计算得到管内壁不同位置温度随时间的变化.