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Commit df5c232e authored by Anton Akhmerov's avatar Anton Akhmerov
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......@@ -144,26 +144,24 @@ plt.show()
1.
$S(\mathbf{G}) = \sum_j f_j e^{i \mathbf{G} \cdot \mathbf{r_j}} = f(1 + e^{i \pi (h+k+l)})$
2.
Solving for $h$, $k$ and $l$ results in
$$
S(\mathbf{G}) =
\begin{cases}
42, \: \text{if $h+k+l$ is even}\\
0, \: \text{if $h+k+l$ is odd}.
\end{cases}
$$
Thus if $h+k+l$ is odd diffraction peaks dissapear
3.
Let $f_1 \neq f_2$, then
$$
S(\mathbf{G}) =
\begin{cases}
2. Solving for $h$, $k$, and $l$ results in
$$
S(\mathbf{G}) =
\begin{cases}
42, \: \text{if $h+k+l$ is even}\\
0, \: \text{if $h+k+l$ is odd}.
\end{cases}
$$
Thus if $h+k+l$ is odd, diffraction peaks dissapear
3. Let $f_1 \neq f_2$, then
$$
S(\mathbf{G}) =
\begin{cases}
f_1 + f_2, \mathrm{if $h+k+l$ is even}\\
f_1 - f_2, \mathrm{if $h+k+l$ is odd}
\end{cases}
$$
\end{cases}
$$
4.
Due to bcc systematic absences, the peaks from lowest to largest angle are:
......
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