The (210) face runs parallel to the z-axis, cuts the y-axis at the cell edge and cuts the x-axis half-way along the cell edge. Remember that the Miller indices are reciprocals so that 2 means 1/2. Shown here is such a surface shaded in light green. The dots indicate the lattice sites in each face which are in addition to those found at each corner of the cube.
As with the simple cubic case, the arrangement of atoms is complex with some subsurface atoms exposed. The surface is again corrugated but the arrangement of the atoms below the surface plane is different. As well, the rows are staggered with respect to each other, making the surface net a centered rectangular, rather than just a rectangule as with the simple cubic instance. As always, the centered rectangular is not primitive, just more convenient. The oblique primitive lattice is shown by the dotted lines.
The centered rectangular lattice has unit vectors of
2 X
10, while the oblique lattice has vectors
3 in length. The two angles for the oblique lattice are 70.53
and 109.47
.
Here is the side view of the lattice.