Slater determinants in Configuration Interaction

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SUMMARY

The discussion focuses on the construction of single and doubly excited Slater determinants within the framework of Configuration Interaction (CI) using Hartree-Fock (HF) theory. It is established that the HF method generates a complete set of molecular orbitals (MOs), allowing for the replacement of the lowest energy orbitals in the HF Slater determinant with higher energy excited orbitals. This process results in the formation of additional Slater determinants necessary for accurate CI calculations. Understanding this method is crucial for effectively implementing CI in quantum chemistry calculations.

PREREQUISITES
  • Hartree-Fock (HF) theory
  • Molecular orbitals (MOs)
  • Configuration Interaction (CI) methodology
  • Quantum chemistry fundamentals
NEXT STEPS
  • Study the construction of Slater determinants in detail
  • Learn about the role of excited states in Configuration Interaction
  • Explore advanced topics in quantum chemistry, such as perturbation theory
  • Investigate software tools for quantum chemistry calculations, such as Gaussian or ORCA
USEFUL FOR

Quantum chemists, researchers in theoretical chemistry, and students studying electronic structure methods will benefit from this discussion.

saleheen
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How does one create the single or doubly excited slater determinants in CI? What I mean is using HF, when I get the MO's, I can create the HF slater determinant which runs over electrons in rows and orbitals in columns. What is the form of single or doubly excited slater determinants? Sorry if I'm making the question unclear.
 
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In HF, you construct the single Slater determinant from the n orbitals of lowest energy. However, the HF equations, yield an infinite number of orbitals which form a complete set. If you replace one or more of the n orbitals in the HF Slater determinant by one or several of these excited orbitals with higher energy, you get the additional Slater determinants for CI.
 

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