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Related Concept Videos

Properties of Transition Metals02:58

Properties of Transition Metals

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Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
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The alkali metal sodium (atomic number 11) has one more electron than the neon atom. This electron must go into the lowest-energy subshell available, the 3s orbital, giving a 1s22s22p63s1 configuration. The electrons occupying the outermost shell orbital(s) (highest value of n) are called valence electrons, and those occupying the inner shell orbitals are called core electrons. Since the core electron shells correspond to noble gas electron configurations, we can abbreviate electron...
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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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Calorimetry is a technique used to measure the amount of heat involved in a chemical or physical process or to measure the heat transferred to or from a substance. The heat is exchanged with a calibrated and insulated device called the calorimeter. Calorimetry experiments are based on the assumption that there is no heat exchange between the insulated calorimeter and the external environment. The well-insulated calorimeters prevent the transfer of heat between the calorimeter and its external...
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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...
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Computing Exchange Coupling Constants in Transition Metal Complexes with Tensor Product Selected Configuration

Arnab Bachhar1, Nicholas J Mayhall1

  • 1Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States.

Journal of Chemical Theory and Computation
|February 4, 2026
PubMed
Summary
This summary is machine-generated.

We introduce Tensor Product Selected Configuration Interaction (TPSCI) for studying transition metal complexes. TPSCI offers accurate magnetic exchange coupling constants (J) and computational efficiency, presenting an alternative to Density Matrix Renormalization Group (DMRG).

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Area of Science:

  • Quantum chemistry
  • Computational materials science
  • Solid-state physics

Background:

  • Transition metal complexes exhibit strong electron correlation due to partially filled d-orbitals, posing challenges for electronic structure theory.
  • Accurate computation of magnetic exchange coupling constants (J) is crucial for understanding and designing magnetic materials.

Purpose of the Study:

  • To compare the performance of a new method, Tensor Product Selected Configuration Interaction (TPSCI), against the established Density Matrix Renormalization Group (DMRG) for calculating exchange coupling constants.
  • To evaluate the strengths and limitations of TPSCI for strongly correlated transition metal systems.

Main Methods:

  • Developed and applied Tensor Product Selected Configuration Interaction (TPSCI) using a locally correlated tensor product state basis.
  • Performed calculations on active spaces of varying sizes for six transition metal complexes (dinuclear Cr, Fe, Mn, and tetranuclear Ni-cubane).
  • Compared TPSCI results with those obtained from Density Matrix Renormalization Group (DMRG).

Main Results:

  • TPSCI consistently achieved higher variational energies than DMRG due to local cluster state truncation.
  • Magnetic exchange coupling constants (J) calculated by TPSCI were generally within 10-30 cm-1 of DMRG results.
  • TPSCI demonstrated advantages in multistate capability for direct J extrapolation and computational efficiency.

Conclusions:

  • TPSCI is a promising method for electronic structure calculations of transition metal complexes, offering competitive accuracy and efficiency.
  • Cluster state truncation in TPSCI is a limitation requiring careful convergence testing and potential improvements in selection schemes.
  • Further development, including distributed memory implementations, is needed to fully leverage TPSCI for strongly correlated systems.