Derivation of the Shape of an Atomic Orbital from the Angular Nodal Planes and the Symmetries of Their Distribution

Feng-ling Liu
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Abstract

The shape of an atomic orbital not only depends on the azimuthal quantum number l, but also associates with the magnetic quantum number m. We discussed about how to derive the shape of an atomic orbital from the numbers and shapes of the angular nodal planes, and the symmetries of distribution of all angular nodal planes when l and |m| are known. According to the |m|, the compatibility of the symmetry of an atomic orbitals have also been also discussed.
从角节点面推导原子轨道的形状及其分布的对称性
原子轨道的形状不仅与方位量子数l有关,还与磁量子数m有关。我们讨论了如何从角节面数目和形状推导出原子轨道的形状,以及当角节面l和|m|已知时,各角节面分布的对称性。根据|m|,还讨论了原子轨道对称的相容性。
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