Questions (a)-(f) all refer to the accompanying figure, which represents a portion of a two-dimensional crystal. (a) Identify a set of lattice points in the pattern and mark the points' locations clearly with dots that cover a significant fraction (or all) of the pattern. (b) Choose basis vectors t1 and t2 that define a primitive cell for this structure and clearly outline the resulting cell. (c) How many lattice points are in the primitive cell you defined in part (b)? (d) How many atoms of each type are there in the primitive cell you defined in part (b)? (e) Some of the symmetry elements in this set-fonefold rotation axis, twofold rotation axis, fourfold rotation axis, mirror line, glide line }-are present in the pattern. Clearly indicate an example of each that is present by showing its location on the pattern. (f) Considering the symmetries that are present in this pattern, what are the minimum constraints on the lattice constants a,b, and for a conventional unit cell in this structure? In other words, which of the plane lattices can patterns with these symmetries have and how does that constrain a,b, and