强磁场中氢分子离子零点振动能的计算  

Calculating zero vibrating energies of hydrogen molecule ion in strong magnetic field

作　　者：焦志勇[1] 王英霞[1] 郭淑梅 李宁[1] 马军贸[1] 付霞[1] 

机构地区：[1]中国石油大学物理科学与技术学院,山东东营257061 [2]朝阳市财经学校,辽宁朝阳122000

出　　处：《中国石油大学学报（自然科学版）》2008年第4期161-164,共4页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：山东省自然科学基金项目(Y2003A02)

摘　　要：采用绝热近似和绝热变分近似两种方法，计算了强磁场（10≤β≤1000）中H2＋的σg，πu，δg，φu，γg，ηu态的能量和平衡核间距，并选取σg，δg，γg这3个态的能量和平衡核间距的数据进行曲线拟合，得出了曲线方程。典型的双原子分子中两原子间相互作用势能曲线在平衡位置R0附近时曲线形状与简谐振子的势能曲线十分接近，据此计算得到了Hf的零点振动能，并对零点振动能做出了E～β曲线，最后分析给出了Hf的零点振动能与磁感应强度卢的关系，并且将基态的零点振动能在强磁场和无外场的情况下进行了比较。结果表明，Hf的零点振动能受场强影响明显，外加磁场越强，H2＋的零点振动能越小。The energies and the equilibrium internuclear separations of H2 in states of σg,πu,δg,φu,γg,ηu in strong magnetic fields （10≤β≤1000） were calculated by using the adiabatic approximation and adiabatic variational approximation methods, and the data of those in states of σg,δg,γg were selected to obtain the curve equations by curve-polyfitting method. The curve figures of interatomic interaction potential of biatomic molecule are similar to those of harmonic oscillator, based on which the zero vibrating energy of H2＋ can be obtained. Furthermore, E -β curves of zero vibrating energy were plotted. Finally, the relation between zero energy of H2＋ and magnetic field strength β was analyzed. In addition, the case of zero vibrating energy of ground state in strong magnetic field was compared with that without magnetic field. The results show that the zero vibrating energy of H2＋ is obviously affected by magnetic field intensity. The stronger the applied magetic field intensity, the smaller the zero vibrating energy of H2＋.

关 键 词：零点振动能 强磁场 绝热近似 绝热变分近似 曲线拟合 

分 类 号：O562.1[理学—原子与分子物理]