BH2的分子结构和势能函数

采用密度泛函理论(DFT)的B3P86方法和相对论有效原子实势理论模型(RECP)，对BH₂，BH₂⁺和BH₂^-分子进行了优化，得到这些分子基态的电子状态分别是²A′，³A′，³A″. 计算也得到了BH₂的分子结构和势能函数，它的离解能是7.752eV，BH₂分子具有C_{2V关键词： 2}')" href="#">BH₂ 分子结构 势能函数     

Ni2分子的自旋极化效应

采用Gaussian98程序中B3P86密度泛函 (DFT)方法 ,对Ni2 分子进行了优化 ,得到该分子基态为 5重态 ,并且首次发现了过渡金属中Ni2 分子存在自旋极化效应 .计算得到了该分子的力学常数、光谱数据及势能函数 .计算结果表明 :该分子基态离解能为 1.835eV ,平衡键长为 0 .2 2 4 3nm ,谐振频率为 2 6 2 .35cm-1,二阶、三阶、四阶力学常数分别为 1.190 1aJ/nm2 、- 5 .872 3aJ/nm3 及 2 1.2 5 15aJ/nm4,得到了Ni2 分子的Murrell Sorbie势能函数 .     

惰性气体原子间远程吸引势的padé近似计算法

原子与分子间相互作用势能可分为二部分,一部分可表达为近程排斥势,另一部分则表达为远程吸引势,对这两种势能的表达方式和计算方法已有很多。此文主要对原子间远程吸引势采用ｐａｄé近似处理法,从动态极化率来计算范德瓦尔斯系数,并进而计算吸引势,为惰性气体原子间远程势的计算提供一个有效的计算方法。     

Spin polarization effect for Cr2 molecule

Density functional theory （DFT） （B3P86） of Gaussian 03 has been used to optimize the structure of the Cr2 molecule, a transition metal element molecule. The result shows that the ground state for the Cr2 molecule is a 13- multiple state, indicating that there exists a spin polarization effect in the Cr2 molecule. Meanwhile, we have not found any spin pollution because the wave function of the ground state does not mingle with wave functions of higher-energy states. So the ground state for Cr2 molecule being a 13-multiple state is indicative of spin polarization effect of the Cr2 molecule among transition metal elements, that is, there are 12 parallel spin electrons in the Cr2 molecule. The number of non-conjugated electrons is greatest. These electrons occupy different spatial orbitals so that the energy of the Cr2 molecule is minimized. It can be concluded that the effect of parallel spin in the Cr2 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 Cr2 molecule are derived. The dissociation energy De for the ground state of the Cr2 molecule is 0.1034eV, equilibrium bond length Re is 0.3396 nm, and vibration frequency we is 73.81cm^-1. Its force constants f2, f3 and f4 are 0.0835, -0.2831 and 0.3535 aJ. nm^-4 respectively. The other spectroscopic data for the ground state of the Cr2 molecule ωeχe, Be and αe are 1.2105, 0.0562 and 7.2938 x 10^-4cm^-1 respectively.     

Spin polarization effect for Fe2 molecule

This paper uses the density functional theory （DFT）（B3p86） of Gaussian03 to optimize the structure of Fe2 molecule. The result shows that the ground state for Fe2 molecule is a 9-multiple state, which shows spin polarization effect of Fe2 molecule of transition metal elements for the first time. Meanwhile, we have not found any spin pollution because the wavefunction of the ground state does not mingle with wavefunctions with higher energy states. So, that the ground state for Fe2 molecule is a 9-multiple state is indicative of the spin polarization effect of Fe2 molecule of transition metal elements. That is, there exist 8 parallel spin electrons. The non-conjugated electron is greatest in number. These electrons occupy different spacious tracks, so that the energy of the Fe2 molecule is minimized. It can be concluded that the effect of parallel spin of the Fe2 molecule is laFger 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 Fe2 molecule are derived. Dissociation energy De for the ground state of Fe2 molecule is 2.8586ev, equilibrium bond length Re is 0.2124nm, vibration frequency we is 336.38 cm^-1. Its force constants f2, f3, and f4 are 1.8615aJ.nm^-2, -8.6704aJ.nm^-3, 29.1676aj.nm^-4 respectively. The other spectroscopic data for the ground state of Fe2 molecule weXe, Be, αe are 1.5461 cm^-1, 0.1339cm^-1, 7.3428× 10^-4 cm^-1 respectively.     

Ni_n(n≤8)团簇的密度泛函研究(英文)

用高斯程序的B3LYP交换相关函数和全电子基组DGDZVP、TZVP优化了Ni_n、Ni_n⁺和Ni_n^-（n=2～8）,得到了这些体系的基态几何构型、离化能、电子亲和能以及键能.结果表明:Ni₂,Ni₃,Ni₄,Ni₅和Ni₆团簇的基态分别是5,7,9,11和13重态.表明:Ni₂,Ni₃,Ni₄,Ni₅和Ni₆团簇中分别有4,6,8,10和12个平行自旋的电子,在每一个Ni_n团簇中非耦合的电子是最多,这些电子占据不同的轨道,导致每一个Ni_n团簇的能量最小,说明在这些Ni_n团簇中电子平行的效应大于电子耦合的效应,这显然与d电子的离域效应有关,这被称为自旋极化效应,符合宏特规则.Ni_n、Ni_n⁺和Ni_n^-（n=2～8）体系的磁矩分别是Ni_n具有8μB（n=6～8）,Ni_n⁺具有9μB（n=6～8）,Ni_n^-具有7μB（n=4～8）.     

单壁碳纳米管储氢研究

利用Gaussian03程序计算出C-H键的键能是1.88 eV,键长是0.113 nm.已知H-H键能是4.748 eV,键长是0.074 nm.显然,H-H键能大于C-H键的键能,所以在常温常压下碳纳米管储氢时,以物理吸附H_2分子为主,化学形式的C-H键吸附为辅.另外,利用LJ势能函数,计算了H_2分子在碳纳米管中C原子所成的六边形中心正上方、C原子正上方以及相邻两C原子中间正上方时H_2分子与碳纳米管之间的势能.得到无论H_2分子是被吸附到管内或管外,还是被吸附到中间区域或两端区域,都是H_2分子在C原子所成的六边形中心正上方时能量最低.当H_2分子被吸附到碳纳米管中间区域时,管内和管外的H_2分子距管壁的距离分别是0.320 nm和0.309 nm;而当H_2分子被吸附到碳纳米管两端区域时,这两个距离分别是0.324 nm和0.313 nm.     

Nin(n≤8)团簇的结构

用高斯程序的B3LYP交换相关函数和全电子基组DGDZVP、TZVP优化Ni_n、Ni_n⁺和Ni_n^-(n=2~8),得到这些体系的基态几何构型、离化能、电子亲和能及键能.结果表明:Ni₂,Ni₃,Ni₄,Ni₅和Ni₆团簇的基态分别是5,7,9,11和13重态.表明:Ni₂,Ni₃,Ni₄,Ni₅和Ni₆团簇中分别有4,6,8,10和12个平行自旋的电子,在每一个Ni_n团簇中非耦合的电子最多,这些电子占据不同的轨道,导致每一个Ni_n团簇的能量最小,说明在这些Ni_n团簇中电子平行的效应大于电子耦合的效应,这显然与d电子的离域效应有关,称为自旋极化效应,符合宏特规则.Ni_n、Ni_n⁺和Ni_n^-(n=2~8)体系的磁矩分别是Ni_n具有8μ_B(n=6~8),Ni_n⁺具有9μ_B(n=6~8),Ni_n具有7μ_B(n=4~8).     

BH2的分子结构和势能函数

采用密度泛函理论(DFT)的B3P86方法和相对论有效原子实势理论模型(RECP),对BH2,BH2+和BH2-分子进行了优化,得到这些分子基态的电子状态分别是2A′,3A′,3A".计算也得到了BH2的分子结构和势能函数,它的离解能是7.752eV,BH2分子具有C2V对称性;由微观可逆性原理,判断了BH2分子的离解极解;并且导出了BH2分子的多体项展式势能函数,其势能面等值图展现了H-B-H的结构,这些结果可以用于BH2分子的微观反应动力学.     

Spin polarization effect for Mn2 molecule

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 1.4477 eV, equilibrium bond length Re is 0.2506 nm, vibration frequency ωe is 211.51 cm^-1. Its force constants f2, f3, and f4 are 0.7240 aJ·nm-2, -3.35574 aJ·nm^-3, 11.4813 aJ·nm^-4 respectively. The other spectroscopic data for the ground state of the Mn2 molecule ωeχe, Be, αe are 1.5301 cm^-1, 0.0978 cm^-1, 7.7825×10^-4 cm^-1 respectively.