The primitive
unit cell for this structure is (
2
x
2)R45
Rationale
The primitive unit cell is again illustrated below - the cell
is square in shape but has sides which are longer than those of
the substrate unit cell by a factor of
2
(i.e. |b1| =
2|a1|
and |b2| =
2|a2|)
and is also rotated by 45 degrees with respect to the substrate
cell.

It is therefore a (
2
x
2)R45 structure.
What is the matrix description for this structure ?
(Remember that the matrix method always describes the primitive unit cell)