Forward Rotation Matrices

These matrices rotate a set of crystal field parameters (or Stevens operators) by $\Theta$=90$^o$ and $\Phi$=90$^o$.

$$\stackrel{=}{\mathbf S}_2(\pi/2,\pi/2) = \left( \begin{arra... ... 0 & 0 & 0 \\ 0 & 0 & 3/2 & 0 & -1/2 \\ \end{array} \right)$$ (178)

$$\stackrel{=}{\mathbf S}_4(\pi/2,\pi/2) = \left( \begin{arra... ... 0 & 0 & 0 & 35/8 & 0 & -7/8 & 0 & 1/8 \\ \end{array} \right)$$ (179)

$$\stackrel{=}{\mathbf S}_6(\pi/2,\pi/2) = \left( \begin{arra... ...& 0 & -33/32 & 0 & 11/32 & % 0 & -1/32 \\ \end{array} \right)$$ (180)