21. Their wavefunctions take the form of spherical harmonics , and so are described by Legendre polynomials. 22. The multipole expansion circumvents this difficulty by expanding not or, but or into spherical harmonics . 23. They can also be easily calculated by using the Spherical Harmonic coefficients of the ODF model. 24. In this expression the neutrino speed has been spherically decomposed by using the standard spherical harmonics . 25. Spherical harmonic states and spherical tensors can also be constructed out of the Clebsch Gordan coefficients.26. I've been looking for FORTRAN code to calculate Associated Legendre Polynomials and Spherical Harmonics . 27. The spherical harmonic functions form a complete orthonormal set of functions in the sense of Fourier series. 28. They are, in fact, exactly the zonal spherical harmonics , up to a normalizing constant. 29. The magnetic scalar potential model consists of the Gauss coefficients which define a spherical harmonic expansion of V 30. The shapes of atomic orbitals in one-electron atom are related to 3-dimensional spherical harmonics .