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Magneto-elastic interaction

  $\displaystyle \hat{\mathcal{H}}_{ME1}(n) = - \sum_{\stackrel{\alpha=1,\do... ...alpha\gamma}_{{\rm cfph}}(n) \epsilon_{\alpha} O_{lm}(\hat{\mathbf{J}}^n) $ (22)
and
  $\displaystyle \hat{\mathcal{H}}_{ME2} = - \sum_{\stackrel{n<n^{\prime},lm... ...ma}(nn^{\prime}) \hat{u}_n^{\alpha} O_{lm}(\hat{\mathbf{J}}^{n^{\prime}}) $ (23)