Unverified Commit 9ecbaf04 authored by Axel Kohlmeyer's avatar Axel Kohlmeyer Committed by GitHub
Browse files

Merge pull request #1732 from wmbrownIntel/doc-gayberne-update

Fixing Gay-Berne "extra" documentation to define epsilon parameters c…
parents d805c7db 30cff3fa
Loading
Loading
Loading
Loading
+43.4 KiB (97.5 KiB)

File changed.

No diff preview for this file type.

+4 −4
Original line number Diff line number Diff line
@@ -48,8 +48,8 @@ $$ \mathbf{G}_{12} = \mathbf{A}_1^T \mathbf{S}_1^2 \mathbf{A}_1 +
\mathbf{G}_2. $$

Let the relative energy matrices $\mathbf{E}_i = \mbox{diag}
(\epsilon_{ia}, \epsilon_{ib}, \epsilon_{ic})$ be given by 
the relative well depths (dimensionless energy scales 
(\epsilon_{ia}^{-1/\mu}, \epsilon_{ib}^{-1/\mu}, \epsilon_{ic}^{-1/\mu})$
be given by the relative well depths (dimensionless energy scales 
inversely proportional to the well-depths of the respective 
orthogonal configurations of the interacting molecules). The 
$\chi$ orientation-dependent energy based on the user-specified 
@@ -62,8 +62,8 @@ $$ \hat{\mathbf{r}}_{12} = { \mathbf{r}_{12} } / |\mathbf{r}_{12}|, $$

and

$$ \mathbf{B}_{12} = \mathbf{A}_1^T \mathbf{E}_1^2 \mathbf{A}_1 +
\mathbf{A}_2^T \mathbf{E}_2^2 \mathbf{A}_2 = \mathbf{B}_1 +
$$ \mathbf{B}_{12} = \mathbf{A}_1^T \mathbf{E}_1 \mathbf{A}_1 +
\mathbf{A}_2^T \mathbf{E}_2 \mathbf{A}_2 = \mathbf{B}_1 +
\mathbf{B}_2. $$

Here, we use the distance of closest approach approximation given by the