精确的理论应用于原子
Hiroshi Nakatsuji1, Hiroyuki Nakashima1
1Quantum Chemistry Research Institute, Kyoto Technoscience Center 16, 14 Yoshida Kawaramachi, Sakyo-ku, Kyoto 606-8305, Japan.
Journal of chemical theory and computation
|September 3, 2024
概括
自由补充 (FC) 理论通过解决缩放的施罗丁格方程 (SSE) 来准确计算原子的特性. 这种方法为波函数,能量和密度提供了精确的解决方案,验证了原子系统的FC理论.
科学领域:
- 量子化学 是一个量子化学.
- 原子物理 原子物理
- 计算化学计算化学
背景情况:
- 施罗丁格方程 (SE) 在变量计算中提出了分歧挑战.
- 准确的原子属性计算需要精确的波函数和能量.
- 原子,一个三电子系统,作为理论方法的基准.
研究的目的:
- 应用自由补充 (FC) 理论来解决原子的缩放式施罗丁格方程 (SSE).
- 为了计算精确的波函数,能量和原子的基本和兴奋状态的特性.
- 验证FC理论在获得原子系统的精确解决方案方面的有效性.
主要方法:
- 利用自由补充 (FC) 理论来解决缩放的施罗丁格方程 (SSE).
- 在变量计算中使用"正确"的缩放函数g = 1 - exp(-γr).
- 执行了FC理论的第八阶计算,以获得高精度.
主要成果:
- 获得了基本上精确的SSE解决方案,相当于SE.
- 计算了原子双重S和P状态的精确能量,自旋密度,电子密度和尖端值.
- 结果显示与实验和既定的理论价值观有很好的一致性.
结论:
- 自由补充 (FC) 理论为解决缩放的施罗丁格方程 (SSE) 提供了一种有效而准确的方法.
- 选择"正确"的缩放函数对于获得准确的结果至关重要.
- 这项研究证明了精确理论在为原子结构和属性提供精确解决方案方面的力量.
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