Forward Rotation Matrices

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


\begin{displaymath}
\stackrel{=}{\mathbf S}_2(\pi/2,\pi/2) = \left(
\begin{arra...
... 0 & 0 & 0 \\
0 & 0 & 3/2 & 0 & -1/2 \\
\end{array} \right)
\end{displaymath} (145)


\begin{displaymath}
\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)
\end{displaymath} (146)


\begin{displaymath}
\stackrel{=}{\mathbf S}_6(\pi/2,\pi/2) = \left(
\begin{arra...
...& 0 & -33/32 & 0 & 11/32 & %
0 & -1/32 \\
\end{array} \right)
\end{displaymath} (147)



Martin Rotter 2017-01-10