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- W4226343820 abstract "The position of the linear response function (LRF) in conceptual density functional theory (CDFT), more precisely in the response function tree, is outlined. The up to recently limited interest for its calculation, interpretation, and use in the CDFT literature is contrasted with the extensive use of its frequency-dependent counterpart in time-dependent DFT for the obtention of electronic transition energies. Through wave function perturbation theory, the exact expression for the LRF is derived, and different approximate schemes in the context of coupled perturbed Hartree–Fock or Kohn–Sham theory are put forward, enabling a relatively straightforward evaluation, in particular, at the independent particle approximation. Applied to free atoms, the LRF is scrutinized for its physical significance and the link to its mathematical properties. Different representations are put forward to extract the chemistry contained in this six-dimensional kernel. With 2D contour plots of the radial distribution function and its 1D cross section, the shell structure of atoms is retrieved as contained in the LRF. In the case of molecules, the atom-condensed representation of the LRF regains inductive and mesomeric effects, electron delocalization, aromaticity, and anti-aromaticity. Thereby, the at-first-awkward expression for the LRF showcases its deep chemical content, linking also the chemist's transferability of functional groups and Kohn's nearsightedness of matter concept. The role of the LRF in the interpretation and prediction of molecular conductivity is scrutinized, based on an analogy with its forerunner in Hückel's π- electron theory, Coulson's atom–atom polarizability. In a separate section, the link between the LRF and von Lilienfeld's alchemical derivatives is highlighted. The power of these alchemical derivatives in efficient navigation through chemical compound space through investigation of molecular mutants is illustrated with examples varying from proof-of-concept neutral atom to neutral atom mutations to the prediction of binding energies of oxygen reduction reaction intermediates on alloys of Pt, Pd, and Ni, as an illustration of the spectacular efficiency of the alchemical ansatz upon computational screening of catalysts." @default.
- W4226343820 created "2022-05-05" @default.
- W4226343820 creator A5039531593 @default.
- W4226343820 date "2022-04-15" @default.
- W4226343820 modified "2023-10-16" @default.
- W4226343820 title "The Linear Response Function" @default.
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- W4226343820 doi "https://doi.org/10.1002/9783527829941.ch16" @default.
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