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 #REDIRECT [[spherical harmonics]]33 B (3 words)  16:48, 4 September 2007
 *''See [[Spherical harmonics/Catalogs]] for a table of spherical harmonics through ℓ'' = 4. ...spherical symmetry, indeed, in the same kind of physical problems where spherical polar coordinates are preferred over other coordinate systems such as [[C34 KB (5,282 words)  19:21, 1 January 2011
 ==First few spherical harmonics==3 KB (444 words)  11:07, 9 September 2009

35 B (3 words)  02:59, 26 October 2009
 ...basis functions that can be used to describe the boundary of objects with spherical topology.150 B (22 words)  18:28, 2 September 2008
  title = An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them  url = http://www.archive.org/details/sphericalharmon00ferrrich2 KB (249 words)  14:50, 13 September 2009

12 B (1 word)  01:10, 15 November 2007
 *[[Solid harmonics]] *[[Spherical polar coordinates]]631 B (84 words)  11:48, 31 January 2009
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 Here '''r''' has the spherical polar coordinates (''r'', θ, φ) and '''r'''' ...on]]. The expansion takes a simpler form when written in terms of [[solid harmonics]],3 KB (409 words)  05:52, 4 June 2009
 *''See [[Spherical harmonics/Catalogs]] for a table of spherical harmonics through ℓ'' = 4. ...spherical symmetry, indeed, in the same kind of physical problems where spherical polar coordinates are preferred over other coordinate systems such as [[C34 KB (5,282 words)  19:21, 1 January 2011
  title = An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them  url = http://www.archive.org/details/sphericalharmon00ferrrich2 KB (249 words)  14:50, 13 September 2009
 ...orbitalatomic orbitals]] and in [[physics]] as [[multipoles]]. Irregular harmonics appear in the expansion of scalar fields in terms of multipoles. Both kinds of solid harmonics are simply related to [[spherical harmonics]] <math>\scriptstyle Y^m_\ell</math> (normalized to unity),16 KB (2,612 words)  14:02, 9 February 2010
 ...tial]] in the space surrounding it—with the exception of a neutral, spherically symmetric, charge distribution, like a noble gas atom, which does not c ...iplied by angular functions depending on the [[spherical polar coordinatesspherical polar]] angles of '''R''' and also by coefficients with physical meaning12 KB (1,953 words)  09:38, 5 October 2009
 #REDIRECT [[spherical harmonics]]33 B (3 words)  16:48, 4 September 2007
  title = An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them  url = http://www.archive.org/details/sphericalharmon00ferrrich873 B (109 words)  14:50, 13 September 2009
 where θ and φ are the [[spherical polar coordinatesspherical polar angles]] of '''r''' with respect to a coordinate system in the labo The [[Spherical_harmonics#Normalizationspherical harmonic]] in Racah normalization is defined by56 KB (8,717 words)  08:18, 1 November 2013
 ...tal. A list of Cartesian real spherical harmonics is given in this [[solid harmonicsarticle]]. ...nics. These functions are given in Cartesian form but, when expressed in [[spherical polar coordinates]], are functions of the colatitude angle θ and l5 KB (822 words)  22:36, 14 November 2007
 There are two kinds of GTOs in common use: Cartesian and spherical GTOs. They differ in their angular parts. ...the expressions between square brackets only depend on ''r'' and hence are sphericalsymmetric. The angular parts of these functions are eigenfunctions of the15 KB (2,490 words)  17:23, 19 April 2009
 ...[[Spherical harmonics#Eigenfunctions of orbital angular momentumspherical harmonic functions]]. Indeed, in terms of [[spherical polar coordinates]] the operator is,16 KB (2,626 words)  16:43, 16 January 2009
 ...an be shown that the angular parts of the solutions consist of [[spherical harmonic]] functions. The latter functions determine the shape of the AOs. ...asis functions. These functions depend on the [[spherical polar coordinatespherical polar angles]] of the position vector that points from nucleus A to elec14 KB (2,257 words)  00:39, 15 November 2020
 These two operators indeed commute. (This is due to the spherical symmetry of ''H''.) The squared operator {{nowrap''l''<sup> 2</sup>}} ha In [[Solid harmonics#Derivation, relation to spherical harmonicsthis article]] (in which ''l''<sup> 2 </sup> is defined without Planck's19 KB (2,981 words)  15:51, 27 April 2010
 {{rSpherical harmonics}} {{rSolid harmonics}}1 KB (154 words)  12:04, 30 July 2008
 ...d. The angular parts of atomic orbitals are functions known as [[spherical harmonics]]. ...d hence they have the same appearance as these functions. (See [[spherical harmonics]] for a few graphical illustrations).10 KB (1,514 words)  00:38, 21 November 2009
 {{rSolid harmonics}} {{rSpherical harmonics}}876 B (107 words)  15:56, 11 January 2010
 {{rSpherical harmonics}} {{rSpherical polar coordinates}}869 B (113 words)  16:41, 11 January 2010
 {{rSpherical harmonics}} {{rSpherical wavelets}}1 KB (216 words)  10:25, 20 April 2010
 {{rSpherical harmonics}} {{rSpherical polar coordinates}}965 B (124 words)  22:23, 11 January 2010
 Autopopulated based on [[Special:WhatLinksHere/Spherical polar coordinates]]. Needs checking by a human. {{rSolid harmonics}}1,006 B (129 words)  01:33, 12 January 2010