PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Lattice dynamics and thermal properties of solids · Lattice dynamics and thermal properties of solids
Solid State Physics, Ch Lattice dynamics in three dimensions
Problem
Perovskite calcium titanate, CaTiO3, has a primitive cell containing p=5 atoms (one Ca, one Ti and three O).
((a)) How many phonon branches does its dispersion have in total?
((b)) How many of these are acoustic and how many optical, and what distinguishes an acoustic branch from an optical one as q→0?