多极展开
四极
球面多极矩
偶极子
笛卡尔张量
张量(固有定义)
物理
快速多极方法
磁单极子
领域(数学)
原子物理学
化学
经典力学
量子力学
张量场
几何学
数学
张量密度
广义相对论的精确解
纯数学
出处
期刊:Oxford University Press eBooks
[Oxford University Press]
日期:2013-01-31
卷期号:: 43-56
被引量:2
标识
DOI:10.1093/acprof:oso/9780199672394.003.0003
摘要
Abstract There is an electric field around a molecule which can be described in terms of its multipole moments. The energy of another nearby molecule in this field involves its multipole moments, and the electrostatic interaction between them can be expressed as a sum of terms, each involving a product of multipole moments for each molecule and an interaction tensor. These interaction terms can be expressed in either cartesian or spherical tensor form, most conveniently using multipole moments defined in local axes, as they do not change with the molecular orientation. The dependence of the multipole—multipole terms on the relative orientation of the molecules is then described using new functions (S functions). The dipole--dipole, dipole--quadrupole and quadrupole--quadrupole interactions are discussed in detail, with examples.
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