Subsections

## The dot product gradient of the ellipsoid

The partial derivative of the dot product δi with respect to the orientational parameter is

 = ⋅ = + . (15.172)

Because is constant and not dependent on the Euler angles its derivative is zero. Therefore

 = . (15.173)

### The Dx gradient

The partial derivatives of the unit vector with respect to the Euler angles are

### The Dy gradient

The partial derivatives of the unit vector with respect to the Euler angles are

### The Dz gradient

The partial derivatives of the unit vector with respect to the Euler angles are

The relax user manual (PDF), created 2020-08-26.