updates inconsistencies

src/9_crystal_structure.md

@@ -1140,7 +1140,7 @@ The plane designated by Miller indices $(u,v,w)$ intersects lattice vector ${\bf
 
 ![](figures/miller.svg)
 
-Miller index 0 means that the plane is parallel to that axis (intersection at "$\frac{|{\bf a}_3|}{0}=\infty$"). A bar above a Miller index means intersection at a negative coordinate.
+Miller index 0 means that the plane is parallel to that axis (intersection at "$\frac{|{\bf a}_3|}{0}\rightarrow\infty$"). A bar above a Miller index means intersection at a negative coordinate.
 
 If a crystal is symmetric under $90^\circ$ rotations, then $(100)$, $(010)$ and $(001)$ are physically indistinguishable.
 Therefore, we use the notation $\{100\}$ to indicate a whole family of these symmetry-related planes.
@@ -1351,7 +1351,7 @@ Write down one set of primitive lattice vectors and compute the volume of the co
 2. How many atoms are in the primitive unit cell?
 Write down the basis.
 3. Determine the number of atoms in the conventional unit cell and compute its volume.
-4. What is the distance between nearest neighbour atoms?
+4. What is the distance between nearest neighbouring atoms?
 5. Compute the filling factor.
 
 ### Exercise 3: Directions and Spacings of Miller planes