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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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攻击积分转换瓶:一个快速的轨道优化算法,用于任意资历-零波函数的子立方计算成本.

Peter A Limacher1

  • 1Department of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada.

The Journal of chemical physics
|March 13, 2026
PubMed
概括

一个新的轨道优化算法有效地找到量子化学中年长度为零的波函数的静止点. 这种方法降低了计算成本,并以次立方度扩展,为大型分子系统提供了准确的预测.

科学领域:

  • 量子化学 是一个量子化学.
  • 计算化学计算化学
  • 理论化学 理论化学

背景情况:

  • 高年级零波函数为量子化学问题提供了一种计算可处理的方法.
  • 优化这些波函数的传统方法在计算上可能很苛刻,限制了它们在更大系统中的应用.

研究的目的:

  • 开发一个高效的轨道优化算法,用于年长度为零的波函数.
  • 为了降低与量子化学计算相关的计算成本.
  • 为了能够准确地预测大型和复杂系统的分子性质.

主要方法:

  • 设计了一个针对年长度零波函数量身定制的轨道优化算法.
  • 利用一电子和两电子的低密度矩阵来避免四指数的积分转换.
  • 采用排列三张量,并利用空间局部性和稀疏性来提高计算效率.
  • 在代子空间方案中实现了直接反转,以实现加速融合.

主要成果:

  • 与系统大小实现了亚立方体缩放,大大降低了计算资源的消耗.
  • 成功优化了大型线性寡合物链和高达1391个轨道的团.
  • 使用pECCD作为资历-零波函数证明了算法的有效性.
  • 获得了对臭氧分子特性,乙烯的旋转屏障和有机反应异构化能量的准确预测.

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结论:

  • 开发的算法提供了一个计算效率高且可扩展的方法,用于优化资历-零波函数.
  • 这种方法使得比以前更大的分子系统能够进行精确的量子化学计算.
  • 该方法对预测分子性质和对传统量子化学技术进行基准测试充满希望.