一些实证密度函数的来源 范德瓦尔斯力 范德瓦尔斯力
A V Leonov1,2, D U Zaripov2,3, R Yu Dokin2
1M. V. Lomonosov Moscow State University, Leninskiye Gory, 1, Moscow 119991, Russia.
The journal of physical chemistry. A
|March 7, 2025
概括
在化学中广泛使用的明尼苏达函数,通过利用基础集不完整性来实现高精度. 这种挑战物理学的行为扭曲了电子密度,并表明未来的函数应该满足Hellmann-Feynman定理.
科学领域:
- 计算化学的计算化学
- 量子化学 是一个量子化学.
- 材料科学 材料科学 材料科学
背景情况:
- 密度函数近似 (DFA) 在化学中是必不可少的,因为它们的准确性和计算成本的平衡.
- 明尼苏达州的函数是高度参数化的DFAs,在热化学和弱相互作用中以非常高的精度而闻名.
- 然而,它们的潜在物理机制和潜在限制需要进一步研究.
研究的目的:
- 调查明尼苏达州函数的高精度的起源,特别是在描述弱中程相互作用时.
- 为了确定这些函数的性能是否与文物或物理原理有关.
- 为未来密度函数近似的开发提供指导.
主要方法:
- 分析了明尼苏达州各个职能机构的表现.
- 调查基数不完整性对函数的准确性中的作用.
- 评估电子密度扭曲和遵守基本定理,如赫尔曼-费曼定理.
主要成果:
- 许多明尼苏达州函数在复制弱相互作用方面的卓越准确性源于利用基础集不完整性.
- 这种利用导致了违反物理学的行为,并可能导致计算电子密度的扭曲.
- 赫尔曼-费曼定理经常被违反,表明一个潜在的文物而不是真正的物理准确性.
结论:
- 在某些领域,明尼苏达州函数的准确性是基础集不完整性的产物,不一定是强大的物理建模.
- 未来开发高度参数化的密度函数,包括基于神经网络的方法,应优先考虑遵守像赫尔曼-费曼定理这样的基本定理.
- 满足赫尔曼-费曼定理应该是参数化的关键标准,以确保物理上有意义的结果.
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