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Commit 6c8ec1e6 authored by Wuttke, Joachim's avatar Wuttke, Joachim Committed by Wuttke, Joachim
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factor 2pi in S(q) was wrong.

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...@@ -552,11 +552,12 @@ correlation function is given by: ...@@ -552,11 +552,12 @@ correlation function is given by:
\begin{equation} \begin{equation}
\rho_S\GD(\r) = \sum_{n\neq 0} \delta(x-na)\delta(y). \rho_S\GD(\r) = \sum_{n\neq 0} \delta(x-na)\delta(y).
\end{equation} \end{equation}
The corresponding interference function then becomes Using standard relations for the Dirac comb,
one obtains the interference function
\begin{equation} \begin{equation}
\SD(\q) = \frac{2\pi}{a}\sum_k \delta(q_x - \frac{2\pi k}{a}), \SD(\q) = \frac{1}{a}\sum_k \delta(q_x - \frac{2\pi k}{a}),
\end{equation} \end{equation}
where $2\pi /a$ is a basis vector for the reciprocal lattice. which has the reciprocal lattice period $2\pi/a$.
For computational reasons in \BornAgain, the delta functions appearing in the interference function For computational reasons in \BornAgain, the delta functions appearing in the interference function
are replaced by distributions of a finite width $H(q_x-2\pi k/a)$. This amounts to convoluting the are replaced by distributions of a finite width $H(q_x-2\pi k/a)$. This amounts to convoluting the
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