513.001 Molecular and Solid State Physics

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The crystal structure of SrTiO3

SrTiO3 has what is known as the ideal perovskite structure. Strontium atoms are the corners of cubes (gray), titanium atoms are at cube body centers (green), and oxygen atoms are at cube face centers (red). 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 primitve lattice vectors and associated basis vectors for this structure.