# Spherical harmonic

The

**spherical harmonics** are an orthogonal set of solutions to

Laplace's equation represented in a system of

spherical coordinates. The solutions are generally expressed in terms of

trigonometric functions and

Legendre polynomials.

Spherical harmonics are important in many theoretical and practical applications, particularly the computation of atomic electron configurations, and the approximation of the Earth's gravitational field and the geoid.

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See also:

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