The weights of the spheroid

Definitions

The direction cosine defining the XH bond vector within the spheroidal diffusion frame is

$$\widehat{{XH}} \widehat{{\mathfrak{D}_z}}$$ (15.148)

Let the set of geometric parameters be

$$\mathfrak{G}= \{\mathfrak{D}_{iso}, \mathfrak{D}_a\},$$ (15.149)

and the set of orientational parameters be the spherical angles

$$\mathfrak{O}= \{\theta, \phi\}.$$ (15.150)

The weights

The three spheroid weights c_i in the correlation function of the Brownian rotational diffusion of a spheroid (15.169) are