2020
DOI: 10.1088/1572-9494/ab8a0d
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Molecular multipoles and (hyper)polarizabilities from the Buckingham expansion: revisited

Abstract: Buckingham expansion is important for understanding molecular multipoles and (hyper)polarizabilities. In this study, we give a complete derivation of Buckingham expansion in the traced form using successive Taylor series. Based on such derivation, a general Buckingham expansion in the traced form is proposed, and from which numerical calculations with finite field method of high accuracy can be achieved. The transformations from the traced multipoles and multipole-multipole polarizabilities to the correspondin… Show more

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Cited by 5 publications
(2 citation statements)
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“…From the qualitative discussion, the external field will polarize the molecular dipoles, and this polarization will produce its field, which then contributes to the total field. [ 49 ] The abundant polar molecules in hydro/organogels lead to the enhanced tangential electric field, resulting in strong PL (Figure S17, Supporting Information), and the PL of ionogels can be directly deduced from their ionic conductivity. Further, the normalized PLD in the X‐band was calculated to verify its frequency dependence (Figure 4d,e).…”
Section: Resultsmentioning
confidence: 99%
“…From the qualitative discussion, the external field will polarize the molecular dipoles, and this polarization will produce its field, which then contributes to the total field. [ 49 ] The abundant polar molecules in hydro/organogels lead to the enhanced tangential electric field, resulting in strong PL (Figure S17, Supporting Information), and the PL of ionogels can be directly deduced from their ionic conductivity. Further, the normalized PLD in the X‐band was calculated to verify its frequency dependence (Figure 4d,e).…”
Section: Resultsmentioning
confidence: 99%
“…Table shows the principal components of the ab initio polarizabilities, calculated at the MP2/aug-cc-pVDZ level of theory, of EMIM + for the three configurations and that of NO 3 – at the optimized D 3h structure. For comparison, the ab initio polarizabilities of the global minimum of EMIM + and NO 3 – in Figure a,d are also calculated numerically , by the CCSD­(T)/aug-cc-pVDZ level of theory, with details of calculation in the Appendix of the SI. It can be seen from Table that the polarizabilities of the selected configurations calculated by the MP2/aug-cc-pVDZ level of theory are in good agreement with the ones calculated by the CCSD­(T)/aug-cc-pVDZ level of theory.…”
Section: Resultsmentioning
confidence: 99%