where x, y, z are the three dimensions, t is time, Dr is the relative diffusion constant, and the vector 𝑅 ⃗ representing the distance and the angles to the origin position of the molecule, at t = 0, x0 = y0 = z0 = 0 for ease of expression. Equation 8 pictures the symmetric diffusing sphere with the maximum at the center, Gaussian decaying over all directions, and normalized to one unit if integrated over all space.