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

MOSIORI, CLIFF ORORI

doi:10.56557/japsi/2022/v14i28021

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

MOSIORI, CLIFF ORORI

Journal of Applied Physical Science International, Page 18-32
DOI: 10.56557/japsi/2022/v14i28021
Published: 31 December 2022

Abstract

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.

Keywords:

Tilting orientation
perovskite
Band-touching
Brillouin zone
hermitian system

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How to Cite

ORORI, M. C. (2022). LANDAU SUB-BAND FIELDS IN CH3NH3PBI3 CRYSTALS WITHIN WIGNER–SEITZ PRIMITIVE CELL. Journal of Applied Physical Science International, 14(2), 18-32. https://doi.org/10.56557/japsi/2022/v14i28021

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