Ultrasonic evaluation of the Jahn-Teller effect parameters. Application to ZnSe:Cr2+
V V Gudkov1, I B Bersuker, I V Zhevstovskikh
1Ural Federal University, Ekaterinburg, Russia. gudkov@imp.uran.ru
Summary
Ultrasonic experiments reveal Jahn-Teller (JT) effect parameters in crystals. This method quantifies vibronic coupling constants and adiabatic potential energy surfaces for impurity centers like Cr(2+) in ZnSe.
Area of Science:
- Solid State Physics
- Materials Science
- Crystallography
Background:
- The Jahn-Teller (JT) effect significantly influences the properties of impurity centers in crystals.
- Understanding JT effect parameters is crucial for predicting and controlling material behavior.
- Existing methods often require assumptions about relaxation mechanisms, limiting their applicability.
Purpose of the Study:
- To develop and validate a novel method for evaluating JT effect parameters using ultrasonic experiments.
- To determine the vibronic coupling constants and adiabatic potential energy surface (APES) for specific impurity systems.
- To investigate the influence of different vibronic modes on the elastic properties of crystals.
Main Methods:
- Utilized temperature-dependent ultrasonic attenuation and phase velocity measurements.
- Applied the method to the ZnSe:Cr(2+) impurity system, focusing on the [Formula: see text] JT problem.
- Analyzed ultrasound propagation anomalies to deduce JT distortions and coupling parameters without assuming relaxation mechanisms.
Main Results:
- Determined the modulus of the linear vibronic coupling constant |F(E)| for Cr(2+) in ZnSe to be approximately 5.5 × 10(-5) dyn via independent attenuation and phase velocity measurements.
- Identified tetragonal E-type distortions as the primary JT distortions for Cr(2+) in ZnSe.
- Estimated the primary force constant K(E) and stabilization energies for orthorhombic (E(JT)(O)≈81–450 cm(-1)) and trigonal (E(JT)(T)≈48–417 cm(-1)) saddle points of the APES.
Conclusions:
- The developed ultrasonic method effectively evaluates JT effect parameters without prior assumptions on relaxation.
- The study reveals detailed characteristics of the APES for the Cr(2+) ion in ZnSe, confirming the [Formula: see text] JT problem.
- The findings provide valuable insights into the vibronic interactions governing the properties of impurity centers in crystalline materials.
Related Concept Videos
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Tetrahedral 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,...
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,...
Imperfections in Crystal Structure: Stoichiometric Point Defects
Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
Imperfections in Crystal Structure: Non-Stoichiometric Defects
Non-stoichiometric defects refer to a type of defect in the crystal structure of a compound where the ratio of its constituent elements deviates from the ideal stoichiometric ratio. There are two main types of non-stoichiometric defects: metal excess defects and metal deficiency defects.Metal excess defects occur when there is a slight surplus of metal ions than what is required by the stoichiometric ratio of the compound. For example, heating a sodium chloride crystal in sodium vapor results...
Crystal Field Theory - Octahedral Complexes
Crystal Field Theory
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...
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...


