摘要用组态相互作用法(CI)、密度泛函理论(DFT)、二次组态相互作用(QCISD) 和耦合簇方法(CCSD),分别计算UC、UN和UH的势能面;其中铀选用(ECP80MWB _AVQZ+2f)基组,碳、氢和氮则用6-311+G*基组。在QCISD(T)水平下,UC、UN和UH的离解能分别为–5.7960、–4.5077和–2.6999 eV。以最小二乘法,对所得势能曲线进行拟合,分别建立相应双原子体系的Morse,Lennard-Jones和 Rydberg势函数。对于UC,由PBE的结果可推断出非谐性振动常数是0.0047160,非谐性频率是780.27 cm–1。对于UN,由PBE的结果可推断出非谐性振动常数是0.0049827,非谐性频率是812.65 cm–1。对于UH,由QCISD的结果可推断出非谐性振动常数是0.017300,非谐性频率是 1449.8 cm–1。由上述非谐频率,经统计热力学方法计算其不同温度下的熵和热容,其结果与DFT-PBE(对UC和UN体系)以及QCISD(T)(对UH体系)直接计算结果相一致。还建立了熵和温度之间的关系。18983
关键词 UC, UN, UH, 势能函数, 密度泛函理论, 热力学性质
毕业设计说明书(毕业论文)外文摘要
Title Potential Function and Thermodynamic Property of UC UN,UH
Abstract
Potential energy scan for UC,UN,UH was performed by ab initio configuration interaction (CI) method, QCISD method, CCSD method and density functional theory methods at the PBE1 level in combination with the (ECP80MWB_AVQZ+2f) basis set for uranium and 6-311+G* for carbon, hydrogen, nitrogen. The dissociation energies of UC,UN,UH are -5.7960,-4.5077and-2.6999eV at the QCISD levels, respectively. The calculated energy was fitted to potential functions of Morse, Lennard-Jones, and Rydberg by using least square method. As to UC, The anharmonicity constant is 0.0047160.The anharmonic frequency is 780.27 cm–1 deduced from the PBE1 results. As to UN, The anharmonicity constant is 0.0049827.The anharmonic frequency is 812.65 cm–1 deduced from the PBE1 results. As to UH, The anharmonicity constant is 0.017300.The anharmonic frequency is 1449.8 cm–1 deduced from the QCISD results. Thermodynamic properties of entropy and heat capacity at different temperature were calculated using anharmonic frequency. They accords to DFT-UPBE1 results(for UC and UN)and QCISD results(for UH). The relationship between entropy and temperature was established.
Keywords UC,UN,UH, Potential function, Uranium oxide, Density functional theory, Thermodynamic property
目 次
1 引言3
2 基本原理5
2.1 计算化学5
2.2 从头计算方法5
2.3 密度泛函方法6
2.4 分子动力学模拟6
2.5 势函数7
3 计算方法8
4 计算结果和讨论10
4.1 势能10
4.2 热力学函数47
结论 50
致谢 51
参考文献 52