rewording

src/10_xray_solutions.md

@@ -38,11 +38,14 @@ $$
 $$
 
 2.
+
+Because the relation between direct and reciprocal lattice is symmetric, so are the expressions for the direct lattice vectors through the reciprocal ones:
+
 $$
 \mathbf{a}_{i} \epsilon_{ijk} = \frac{2\pi}{V^*} (\mathbf{b}_{j} \times \mathbf{b}_{k})
 $$
 
-whereas $\epsilon_{ijk}$ is the [Levi-Civita tensor](https://en.wikipedia.org/wiki/Levi-Civita_symbol#Three_dimensions)
+where $\epsilon_{ijk}$ is the [Levi-Civita tensor](https://en.wikipedia.org/wiki/Levi-Civita_symbol#Three_dimensions)
 
 3.
 One set of the BCC primitive lattice vectors is given by:
@@ -61,7 +64,7 @@ $$
 $$
 
 which is forms a reciprocal FCC lattice.
-Using the result in Subquestion 2, the vice versa result is trivial
+The opposite relation follows directly from our previous result.
 
 4.
 Because the 1st Brillouin Zone is the Wigner-Seitz cell of the reciprocal lattice, we need to construct the Wigner-Seitz cell of the FCC lattice.