Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision
Previous revision
documentation:standard_operators:charge_quadrupole:start [2017/02/23 17:29] Maurits W. Haverkortdocumentation:standard_operators:charge_quadrupole:start [2020/02/12 10:43] (current) – added missing "-" in formular Q_ij Fabian Wenzel
Line 5: Line 5:
 The quadrupole operator is a special case of the crystal-field operator. The operator is defined as: The quadrupole operator is a special case of the crystal-field operator. The operator is defined as:
 \begin{equation} \begin{equation}
-Q_{ij} = 3r_ir_j/r^2 \hat{r}\cdot\hat{r}\delta_{i,j}.+Q_{ij} = 3r_ir_j/r^2 \hat{r}\cdot\hat{r}\delta_{i,j}.
 \end{equation} \end{equation}
 Whereby we need to note that we here only take the angular part of a quadrupole. It's "strength", i.e. the expectation value of $r^2$ is omitted from our definition. Whereby we need to note that we here only take the angular part of a quadrupole. It's "strength", i.e. the expectation value of $r^2$ is omitted from our definition.
Print/export