Ab initio approach to the excited electron dynamics in rutile and anatase TiO2
1Institute of Solid State Chemistry, Urals Branch of the Russian Academy of Sciences, Pervomayskaya 91, GSP-145, Yekaterinburg, Russia.
Abstract:
The relaxation of excited electrons in the conduction band of titanium dioxide with the rutile and anatase structure is investigated by means of a first-principle method. The evaluations are based on the pseudo-potential plane-wave approach to the electronic band structure calculations, the density-functional perturbation theory for the calculations of phonons and electron-phonon interactions, and on the 'Fermi golden rule' for evaluations of the electron relaxation time and the energy loss time. We demonstrate two regimes of the electron relaxation. For the excited electrons with energy less than 0.01 eV above the conduction band bottom the relaxation occurs in the pico-second timescale, whereas at higher excitation energies the electron relaxation time is within a few femto-seconds and the energy loss time is within a few tens of femto-seconds.
More Related Videos
11:26Integrating a Triplet-triplet Annihilation Up-conversion System to Enhance Dye-sensitized Solar Cell Response to Sub-bandgap Light
Published on: September 12, 2014
06:49In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
Published on: March 2, 2021
Related Concept Videos
Photochemical Electrocyclic Reactions: Stereochemistry
Selection Rules: Photochemical Activation
Thermal and Photochemical Electrocyclic Reactions: Overview
Thermal Electrocyclic Reactions: Stereochemistry
Selection Rules: Thermal Activation
Conjugated systems containing an even number of π-electron pairs undergo a conrotatory ring closure. For example, thermal electrocyclization of (2E,4E)-2,4-hexadiene, a conjugated diene containing two π-electron pairs, gives trans-3,4-dimethylcyclobutene.
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
