A two-dimensional crystal has plane group p3m1 with a lattice constant a=6A. It has two types of atoms, A and B, both with diameter 1.5A. Wyckoff positions are occupied as follows: A in site 1bB in site 1c (a) Make a scale drawing of the structure, covering an area of at least four conventional unit cells. (b) What are the coordination numbers of the A atoms and of the B atoms? (c) What is the center-to-center distance between A and B atoms? (d) Which of the five plane lattices does this structure possess? (e) If Wyckoff sites 1b and 1c were occupied by the same species, and these were the only sites occupied, would the plane group of the resulting structure still be p3m1 ? Explain your