LANDAU SUB-BAND FIELDS IN CH3NH3PBI3 CRYSTALS WITHIN WIGNER–SEITZ PRIMITIVE CELL

The titling of orientations is believed to influence electrostatic and steric interactions on sub-band touching levels, positions and density of states in a CH3NH3PbI3 perovskite crystal. Sub-band touching exhibit recursive properties that sometimes result in forming new material properties like an adjusted band gap, a modified sub band energy level, a modified ground level excitation state, a modified density of state or a lattice frustration when exposed to an external magnetic field in the Bravais lattice. A geometrical structural model with a tight-bound sub band structure was developed in this study. It was analyzed with an aim of describing how its tight-bound electrons are influenced by a rational magnetic field to distort tilting and rotation in CH3NH3PbI3 lattice. The model had a rotating and tilting orientation angle, (ψ) with a precision angle, Φ. It was analyzed. The findings showed that, out of all the sum of angles in all the orientations, it is only the precession angle that was to influence electrostatic and steric interactions and only two angles were found to influence the lead–iodine-bond lengths, density of states modify sub bands level tilting. The finding also showed that a magnetic field has a significant influence on sub band touching of immediate neighbouring sub bands since it since a frustration in the lattice was exhibited as a recursive property. It was then concluded that a sum of density of states below an energy gap in a CH3NH3PbI3 lattice under an irrational magnetic field had a significant influence on sub band touching the magnitudes and thus influencing its density of states.