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...the angular portion of the solution to [[Laplace's equation]] in spherical coordinates. The first few spherical harmonics are given by: ...

meaning of the θ and φ angles in spherical coordinates). The rotational diffusion equation is: ...al differential equation]] may be solved by expanding ''f(θ, φ, t)'' in [[spherical harmonics]], for which the mathematical identity holds: ...

...molecules, makes it easy to create ordered systems, such as [[lamellar]], spherical or tubular [[lipids |lipid layers]]. The user must provide only the coordinates of one molecule of each type, the number of molecules of each type and the ...

...xially symmetric molecules, <math>\Phi_{12} </math>, is a function of five coordinates: where <math>Y_L^m(\theta, \phi)</math> are the [[spherical harmonics]]. ...

...his case, their position will be determined by their angles in [[spherical coordinates]], and the energy for one of them will be: ...

...structure factor''', <math>S(k)</math>, for a monatomic system composed of spherical scatterers is defined by (Eq. 1 in <ref>[http://dx.doi.org/10.1088/0953-898 <math>\mathbf{r}_m</math> are the coordinates of particles ...

...ship is readily obtained by writing the [[partition function]] in "reduced coordinates", i.e. <math>x^*=x/L</math>, etc, then considering a "blow-up" of the syste ...i "Novel numerical method for calculating the pressure tensor in spherical coordinates for molecular systems", Journal of Chemical Physics '''135''' 094106 (2011) ...