Quantum states of atoms and molecules
The translational symmetry and quantum states in periodic and amorphous solids
Band structure and tuning
Classical and quantum statistics with applications to ideal gases (photons, phonons and electrons, molecules)
Quantum states in type-I and type-II superconductors (elementary theory included)
Magnetic materials, materials with GMR and CMR
Shape memory effects in alloys and materials
2D materials (graphene and graphene analogus)
NLO and photovoltaic materials
Hydrogen storage material for mitigating the looming energy crisis
Quantum states in low and high band gap semiconductors
Semimetals
Designer materials, etc.