Q1 SrTiO3 has what is known as the ideal perovskite structure. Strontium atoms are the corners of cubes, titanium atoms are at cube body centers, and oxygen atoms are at cube face centers. Take the cube edge length to be a. (a) What is the Bravais lattice type? (b) Verify that there are 3 oxygen atoms, 1 titanium atom, and 1 strontium atom for each primitive unit cell in the crystal. (c) Write down a set of primitive lattice vectors and asso- ciated basis vectors for this structure. 10/28/2021 HOME WORK 1 (Due by November 4. 2021) HOME WORK 1 (In Hand Due by November 4. 2021) Q2 For each of the following sets of primitive lattice vectors, identify the Bravais lattice type and give the dimensions of the conventional unit cell in terms of a, b, and c: 10/28/2021 (a) (a/2) + (a/2), ay, (a/2)2; (b) (a/2) + (a/2), a, az; (c) ax + 2by, by, cz; (d) tax+by, b, c. 1 2