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Introduction of a fully relativistic capable basis set in the ab initio orthogonalized linear combination of atomic orbitals method.

机译:在从头开始正交组合原子轨道的方法中引入具有完全相对论能力的基础集。

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摘要

Large simulation cell sizes, relativistic effects, and the need to correctly model excited state properties are major impediments to the accurate prediction of the optical properties of candidate materials for solid-state laser crystal and luminescent applications. To overcome these challenges, new methods must be created to improve the electron orbital wavefunction and interactions. In this work, a method has been developed to create new analytical four-component, fully-relativistic and single-component scalar relativistic descriptions of the atomic orbital wave functions from Grasp2K numerically represented atomic orbitals. In addition, adapted theory for the calculation of the relativistic kinetic energy contribution to Hamiltonian which bypasses directly solving the Dirac equation has been explicated. The orbital description improvements are tested against YAG, YBCO, SnO2 and BiF3. The improvements to the basis set reflect an improvement in both computational speed and accuracy.
机译:大的模拟晶胞尺寸,相对论效应以及对激发态性质进行正确建模的需求,是精确预测固态激光晶体和发光应用候选材料的光学性质的主要障碍。为了克服这些挑战,必须创建新的方法来改善电子轨道的波函数和相互作用。在这项工作中,已经开发了一种方法,可以从用数字表示的原子轨道的Grasp2K创建新的解析四分量,相对论和单分量标量相对论描述。此外,还阐述了绕过直接求解狄拉克方程的哈密顿量相对论动能贡献计算的适用理论。针对YAG,YBCO,SnO2和BiF3测试了轨道描述的改进。基础集的改进反映了计算速度和准确性的提高。

著录项

  • 作者

    Thomas, Patrick Ryan.;

  • 作者单位

    University of Missouri - Kansas City.;

  • 授予单位 University of Missouri - Kansas City.;
  • 学科 Condensed matter physics.;Theoretical physics.
  • 学位 M.S.
  • 年度 2014
  • 页码 57 p.
  • 总页数 57
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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