斯宾翻转TDDFT在斯特恩海默公式内:高斯式和平面波实现
Luis I Hernandez-Segura1, Sandra Luber1
1Department of Chemistry, University of Zürich, 8057 Zürich, Switzerland.
The journal of physical chemistry. A
|October 14, 2025
概括
本研究介绍了一种强大的旋转翻转时间依赖密度函数理论 (SF-TDDFT) 实现,用于计算激发状态和分子几何. 新方法对优化结构具有很好的准确性,这对于计算化学研究至关重要.
科学领域:
- 量子化学 是一个量子化学.
- 计算物理 计算物理
- 理论化学 理论化学
背景情况:
- 精确计算电子激发状态对于理解分子性质和反应至关重要.
- 现有的方法经常面临计算成本和准确性方面的挑战,特别是对于激发状态属性.
研究的目的:
- 在Tamm-Dancoff近似和Sternheimer公式中实现和验证一个非线性旋转翻转时间依赖密度函数理论 (SF-TDDFT).
- 评估这个新实现用于计算垂直激发能量和优化分子几何学的准确性.
主要方法:
- 为SF-TDDFT使用数值集成的选方法开发了一个稳定的非线性内核.
- 使用通用梯度近似 (GGA) 函数 (PBE,PBE0) 进行计算.
- 与垂直激发和分子几何学的高级理论数据 (QUESTDB,CCSD,CISD,FCI) 进行比较的结果.
- 扩大了实施范围,包括辅助密度矩阵方法 (ADMM).
主要成果:
- PBE和PBE0函数显示了对垂直激发能量的轻微低估 (平均偏差为-0.3 eV).
- 使用非对线PBE和PBE0函数的优化分子几何学与高级参考数据 (平均偏差分别为0.010 Å和-0.004 Å) 密切匹配.
- 使用PBE0的ADMM扩展产生了约0.003 Å的债券长度偏差.
结论:
- 实现的非线性SF-TDDFT提供了一个强大而准确的方案,用于激发状态和几何计算.
- 该方法在分子结构优化方面显示出有前途的准确性,性能优于之前的对线实现.
- 扩展到ADMM进一步提高了债券长度计算的准确性.
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