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Related Concept Videos

Linear Approximation in Time Domain01:21

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
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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,...
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If a reaction has a small equilibrium constant, the equilibrium position favors the reactants. In such reactions, a negligible change in concentration may occur if the initial concentrations of reactants are high and the Kc value is small. In such circumstances, the equilibrium concentration is approximately equal to its initial concentration.  This estimation can be used to simplify the equilibrium calculations by assuming that some equilibrium concentrations are equal to the initial...
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Computational approaches for XANES, VtC-XES, and RIXS using linear-response time-dependent density functional theory

Daniel R Nascimento1, Niranjan Govind2

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Linear-response time-dependent density functional theory (LR-TDDFT) enables accurate prediction of X-ray spectroscopies like XANES, VtC-XES, and RIXS in molecules. This computational approach is crucial for interpreting experimental data from advanced X-ray light sources.

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Area of Science:

  • Computational chemistry and spectroscopy
  • Atomic and molecular physics
  • Materials science

Background:

  • Advanced X-ray light sources enable novel spectroscopies with atomic specificity.
  • Interpreting core-level spectra is key to understanding physical, chemical, and biological processes.
  • Theory plays a vital role in predicting and analyzing experimental spectroscopic data.

Purpose of the Study:

  • To discuss linear-response time-dependent density functional theory (LR-TDDFT) for X-ray spectroscopies.
  • To focus on Gaussian basis set implementations of LR-TDDFT.
  • To illustrate applications in X-ray Near-Edge Structure (XANES), Valence-to-Core X-ray Emission (VtC-XES), and Resonant Inelastic X-ray Scattering (RIXS).

Main Methods:

  • Utilizing linear-response time-dependent density functional theory (LR-TDDFT).
  • Implementing LR-TDDFT with Gaussian basis sets for molecular systems.
  • Applying computational methods to simulate XANES, VtC-XES, and RIXS spectra.

Main Results:

  • LR-TDDFT provides a computationally attractive framework for excited-state spectra.
  • Gaussian basis set implementations are effective for X-ray spectroscopy calculations.
  • Demonstrated applications showcase the predictive power of LR-TDDFT for molecular X-ray spectroscopies.

Conclusions:

  • LR-TDDFT is a versatile tool for interpreting and predicting core-level X-ray spectra.
  • The presented methods facilitate the study of fundamental processes using advanced X-ray techniques.
  • Future directions may involve further development and application of LR-TDDFT in X-ray spectroscopy.