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...tands for an [[Atomic orbital#Solutions of the atomic Schrödinger equation|atomic orbital]] with [[angular momentum (quantum)|angular momentum]] quantum number ''ℓ

...in any of nine [[energy level]]s, which is the placement of [[electron]] [[atomic orbital]]s around the [[atomic nucleus]]. When a caesium atom within the chamber en

...s of some importance. They appear, for example, in the form of spherical [[atomic orbital]]s and real [[multipole moments]]. The explicit Cartesian expression of the

::#[[Atomic orbital]]s Because an atomic orbital has two different algebraic signs or colors, the overlapping of two atomic

..., hence the adjective "molecular" in the name. This is in contrast to an [[atomic orbital]] (AO), which gives rise to a one-electron density localized in the vicini ...ns (usually algebraic—as opposed to numerical—functions, see [[atomic orbital#AO basis sets|this article]]), and once the expansion coefficients have bee

...chemistry, as the important implications of the theory (principally the [[atomic orbital|orbital approximation]]) can be understood and applied in simpler terms. ...r equation for the hydrogen atom gives the form of the wave function for [[atomic orbital]]s, and the relative energy of say the 1s,2s,2p and 3s orbitals. The orbita

...>6</sub>]²⁺. [[Crystal field theory]] tells us that the five [[atomic orbital|''d''-atomic orbitals]] of the central ion are split into two groups: T<sub

...chemistry, as the important implications of the theory (principally the [[atomic orbital|orbital approximation]]) can be understood and applied in simpler terms. ...r equation for the hydrogen atom gives the form of the wave function for [[atomic orbital]]s, and the relative energy of say the 1s,2s,2p and 3s orbitals. The orbita

...of them has been selected, are composed of antisymmetrized ''N''-electron atomic orbital products. Atomic orbitals on different atoms in a molecule are non-orthogon

...l valence bond theory one usually works with mixtures of ''s'' and ''p'' [[atomic orbital]]s, so-called [[hybridization|hybrids]]</ref> illustrates some of the

...l valence bond theory one usually works with mixtures of ''s'' and ''p'' [[atomic orbital]]s, so-called [[hybridization|hybrids]]</ref> illustrates some of the

...in the atom's structure. These states of well defined energy are called [[atomic orbital]]s and are organized from the lowest energy to highest. Each orbit can be

...nus;''e'', or negative ''e'', and of mass much smaller than the proton) "[[Atomic orbital|orbit]]" the nucleus of an atom, so that an atom as a whole is electrically

...f the atom developed as an explanation for the electron's staying in its [[atomic orbital|orbital]], which could not be explained by Newton's laws of motion and by c

...care of the ''basis set superposition error''. This is the effect that the atomic orbital basis of one molecule improves the basis of the other. Since this improveme