作　　者： ;

机构地区： 韩山师范学院物理与电子工程系

出　　处： 《中山大学学报（自然科学版）》 2011年第4期50-55,共6页

摘　　要： 依据杨-泰勒效应理论和量子理论,利用群论与对称性分析的方法探讨了Na3的杨-泰勒效应及其相关问题。构建了Na3的E'e'系统的电声耦合哈密顿量,利用么正平移变换将系统的哈密顿量分解为无声子激发部分与有声子激发部分之和,由此计算出了系统的基态与激发态及其能量。结果表明,由于电声耦合作用的缘故系统发生了杨-泰勒畸变。畸变使得系统在其势能面上形成了4个具有C2v对称性势阱。无论Na3处在哪一个势阱中,Na3原初的二重简并的基态能级都将发生分裂。畸变还导致Na3从D3h对称性降低到C2v对称性,同时Na3的振动频率发生了分解,频率的分解就意味着Na3在其振动平面上的各向同性遭到破坏而呈现出各向异性。 Based on the Jahn-Teller effect and quantum theory,the Jahn-Teller effect of Na3 was studied with using the methods of group theory and symmetry analyses.The vibronic Hamiltonian of the E′e′ Jahn-Teller system was constructed.The Hamiltonian of the system was separated into two parts using unitary shift transformation,one part is the Hamiltonian of not having phonons excited,and the other part is the Hamiltonian of having phonons excited.The ground states and their energy of the system in each minimum were obtained,and the corresponding excited states and their energy in each minimum were also derived further.It was found that there were four potential energy minima on the potential energy surface of Na3.No matter which minimum the system was in,the original ground energy level of the system was split into two energy levels.The distortion leaded to that the symmetry of Na3 was lowered to C2v from D3h and the vibration frequency of system was split.After the distortion,the isotropy of Na3 was destroyed and its anisotropy should appear.

关 键 词： 电声耦合 杨 泰勒畸变 能级分裂 频率分解 各向异性

领　　域： [理学] [理学] [理学] [理学]