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Crystal Field Theory - Tetrahedral and Square Planar Complexes

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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,...

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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.
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Valence Bond Theory

Valence Bond Theory

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Related Experiment Video

Updated: Jan 16, 2026

Author Spotlight: Magnetometric Characterization of Intermediates in the Solid-State Electrochemistry of Redox-Active Metal-Organic Frameworks

Author Spotlight: Magnetometric Characterization of Intermediates in the Solid-State Electrochemistry of Redox-Active Metal-Organic Frameworks

Published on: June 9, 2023

Understanding the Magnetic Exchange Pathways of Transition-Metal-Doped Monolayer TiS₂ Using First-Principles

P J Keeney¹, P M Coelho¹, J T Haraldsen¹

¹Department of Physics, University of North Florida, Jacksonville, FL 32224, USA.

Nanomaterials (Basel, Switzerland)

|September 26, 2025

Summary

Transition-metal doping can induce magnetism in 1T-TiS₂. Vanadium doping causes standard exchange, while chromium and manganese may lead to RKKY interactions, impacting spintronic device design.

Keywords:

Heisenberg model RKKY interaction density functional theory first-principles magnetism transition-metal dichalogenides

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Growth and Electrostatic/chemical Properties of Metal/LaAlO3/SrTiO3 Heterostructures

Growth and Electrostatic/chemical Properties of Metal/LaAlO3/SrTiO3 Heterostructures

Published on: February 8, 2018

Area of Science:

Condensed Matter Physics
Materials Science
Computational Chemistry

Background:

The 1T-TiS₂ lattice is intrinsically non-magnetic due to its ideal crystal symmetry.
Recent research indicates that transition-metal (TM) atom substitution can induce magnetic properties in 1T-TiS₂.

Purpose of the Study:

To investigate the mechanisms and interactions responsible for magnetic exchange in TM-doped TiS₂.
To model the effects of different TM dopants (V, Cr, Mn) on the magnetic exchange within the TiS₂ matrix.

Main Methods:

Utilized density functional theory (DFT) to model substitutional TM-doped TiS₂ systems.
Analyzed magnetic exchange interactions at varying spatial distances between dopant atoms.

Main Results:

Vanadium substitution results in standard magnetic exchange via orbital interactions.
Chromium and manganese substitutions may induce RKKY-like interactions with conduction electrons.
The semiconducting nature of 1T-TiS₂ plays a role in the observed magnetic phenomena.

Conclusions:

Understanding dopant-induced magnetic behavior in TiS₂ is crucial for designing spintronic devices.
This research provides insights into low-dimensional magnetic systems and potential energy-efficient technologies.