在完全可溶解的模型分子中,球体密度和潜力
1Department of Theoretical Physics, University of Debrecen, H-4002 Debrecen, Hungary.
The Journal of chemical physics
|October 9, 2023
概括
研究人员开发了新的精确可解决模型,以测试新密度函数理论变体中的近似函数. 这些模型类似于系统,为波函数和密度提供分析解决方案.
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:
- 密度函数理论 (DFT) 的新变体使用球形对称密度,而不是标准电子密度.
- 在这种新的DFT方法中,确切的功能仍然未知,类似于标准DFT.
- 测试近似函数需要完全可解决的模型.
研究的目的:
- 引入精确可解决的模型来测试新DFT变体中的近似函数.
- 提出类似于分子离子和分子的模型.
- 研究波函数,密度和有效潜力的分析处理性.
主要方法:
- 开发一个和分子离子和一个两电子分子的准确可溶解模型.
- 波函数和电子密度的分析推导.
- 确定精确的球形密度和有效电位.
主要成果:
- 拟议的和分子模型为波函数和密度提供了分析解决方案.
- 确切的球形密度和有效潜能被发现具有分析形式.
- 这些模型证明了对具有多个核的系统的可扩展性.
结论:
- 引入的完全可解决的模型是有效的测试近似函数在新的DFT变体.
- 对于这些模型系统,分析解决方案是可以实现的,这有助于理论发展.
- 这些模型为将这种DFT方法扩展到更复杂的分子系统提供了基础.
更多相关视频
相关概念视频
Molecular Models
38.5K
Physical models representing molecular architectures of chemical compounds play essential roles in understanding chemistry. The use of molecular models makes it easier to visualize the structures and shapes of atoms and molecules.
38.5K
Potential Due to a Polarized Object
423
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
423
Gravitation Between Spherically Symmetric Masses
918
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
918
Gauss's Law: Spherical Symmetry
7.5K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half...
7.5K
Molecular Geometry and Dipole Moments
13.1K
The VSEPR theory can be used to determine the electron pair geometries and molecular structures as follows:
13.1K
VSEPR Theory
9.5K
Valence shell electron-pair repulsion theory (VSEPR theory) enables us to predict the molecular structure around a central atom from an examination of the number of bonds and lone electron pairs in its Lewis structure. The VSEPR model assumes that electron pairs in the valence shell of a central atom will adopt an arrangement that minimizes repulsions between these electron pairs by maximizing the distance between them. The electrons in the valence shell of a central atom form either bonding...
9.5K


