Table of Spherical Harmonics
Get Table of Spherical Harmonics essential facts below. View Videos or join the Table of Spherical Harmonics discussion. Add Table of Spherical Harmonics to your PopFlock.com topic list for future reference or share this resource on social media.
Table of Spherical Harmonics

This is a table of orthonormalized spherical harmonics that employ the Condon-Shortley phase up to degree = 10. Some of these formulas give the "Cartesian" version. This assumes x, y, z, and r are related to and through the usual spherical-to-Cartesian coordinate transformation:

Spherical harmonics

= 0[1]

= 1[1]

= 2[1]

= 3[1]

= 4[1]

= 5[1]

= 6

= 7

= 8

= 9

= 10

Real spherical harmonics

For each real spherical harmonic, the corresponding atomic orbital symbol (s, p, d, f, g) is reported as well.

= 0[2][3]

= 1[2][3]

= 2[2][3]

= 3[2]

= 4

See also

External links

References

Cited references
  1. ^ a b c d e f D. A. Varshalovich; A. N. Moskalev; V. K. Khersonskii (1988). Quantum theory of angular momentum : irreducible tensors, spherical harmonics, vector coupling coefficients, 3nj symbols (1. repr. ed.). Singapore: World Scientific Pub. pp. 155-156. ISBN 9971-50-107-4.
  2. ^ a b c d C.D.H. Chisholm (1976). Group theoretical techniques in quantum chemistry. New York: Academic Press. ISBN 0-12-172950-8.
  3. ^ a b c Blanco, Miguel A.; Flórez, M.; Bermejo, M. (1 December 1997). "Evaluation of the rotation matrices in the basis of real spherical harmonics". Journal of Molecular Structure: THEOCHEM. 419 (1-3): 19-27. doi:10.1016/S0166-1280(97)00185-1.
General references

  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

Table_of_spherical_harmonics
 



 



 
Music Scenes