We have carried out a quasi-classical trajectory calculation for the reaction ofNe ＋ H2＋ （v = 0, j = 1） → NeH＋ ＋ H on the ground state （12AI） using the LZHH potential energy surface constructed by L/i et al. ...We have carried out a quasi-classical trajectory calculation for the reaction ofNe ＋ H2＋ （v = 0, j = 1） → NeH＋ ＋ H on the ground state （12AI） using the LZHH potential energy surface constructed by L/i et al. [Lu S J, Zhang P Y, Han K L and He G Z 2010 J. Chem. Phys. 132 014303]. Differential cross sections at many collision energies indicate that the reaction is dominated by forward-scattering. In addition, the Nell＋ product shows rotationally hot and vibrationally cold distributions. Stereodynamical results indicate that the products are strongly polarized in the direction perpendicular to the scattering plane and that the products rotate mainly in planes parallel to the scattering plane.展开更多
Combinatorial methods are used to give specific mathematics, and the proof of combinatorial identities is the hot spot research of combinatorial mathematics. Binomial coefficients play an important role in the fields ...Combinatorial methods are used to give specific mathematics, and the proof of combinatorial identities is the hot spot research of combinatorial mathematics. Binomial coefficients play an important role in the fields of physics, mathematics and computer science. In variances of rotation and reflection is the core characteristic for combinatorial systems. This paper uses different parameters to form reflection, rotation and specific features by using variant construction model and method, meanwhile the quantitative distribution characteristics of binomial coefficient formula are analyzed by three-dimensional maps. Using variant construction, the combinatorial clustering properties are investigated to apply binomial formulas and sample distributions, and various combinatorial patterns are illustrated. It is proved that the basic binomial coefficient formula and its extended model have obvious properties of reflection and rotation invariance.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No.21073110)the Independent Innovation Foundation of Shandong University of China (Grant No.10000059614011)
文摘We have carried out a quasi-classical trajectory calculation for the reaction ofNe ＋ H2＋ （v = 0, j = 1） → NeH＋ ＋ H on the ground state （12AI） using the LZHH potential energy surface constructed by L/i et al. [Lu S J, Zhang P Y, Han K L and He G Z 2010 J. Chem. Phys. 132 014303]. Differential cross sections at many collision energies indicate that the reaction is dominated by forward-scattering. In addition, the Nell＋ product shows rotationally hot and vibrationally cold distributions. Stereodynamical results indicate that the products are strongly polarized in the direction perpendicular to the scattering plane and that the products rotate mainly in planes parallel to the scattering plane.
文摘Combinatorial methods are used to give specific mathematics, and the proof of combinatorial identities is the hot spot research of combinatorial mathematics. Binomial coefficients play an important role in the fields of physics, mathematics and computer science. In variances of rotation and reflection is the core characteristic for combinatorial systems. This paper uses different parameters to form reflection, rotation and specific features by using variant construction model and method, meanwhile the quantitative distribution characteristics of binomial coefficient formula are analyzed by three-dimensional maps. Using variant construction, the combinatorial clustering properties are investigated to apply binomial formulas and sample distributions, and various combinatorial patterns are illustrated. It is proved that the basic binomial coefficient formula and its extended model have obvious properties of reflection and rotation invariance.
