formatting

src/10_xray_solutions.md

@@ -145,21 +145,23 @@ plt.show()
 $S(\mathbf{G}) = \sum_j f_j e^{i \mathbf{G} \cdot \mathbf{r_j}} = f(1 + e^{i \pi (h+k+l)})$
 
 2. Solving for $h$, $k$, and $l$ results in 
+
    $$
    S(\mathbf{G}) = 
    \begin{cases}
-       42, \: \text{if $h+k+l$ is even}\\
+       2f, \: \text{if $h+k+l$ is even}\\
        0, \: \text{if $h+k+l$ is odd}.
    \end{cases}
    $$
    Thus if $h+k+l$ is odd, diffraction peaks dissapear
 
 3. Let $f_1 \neq f_2$, then
+
    $$
    S(\mathbf{G}) = 
    \begin{cases}
-    f_1 + f_2, \mathrm{if $h+k+l$ is even}\\
-    f_1 - f_2, \mathrm{if $h+k+l$ is odd}
+    f_1 + f_2, \text{if $h+k+l$ is even}\\
+    f_1 - f_2, \text{if $h+k+l$ is odd}
    \end{cases}       
    $$