2014
DOI: 10.1021/jp409559t
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Anisotropic Dissymmetry Factor,g: Theoretical Investigation on Single Molecule Chiroptical Spectroscopy

Abstract: A formula for an anisotropic dissymmetry factor g evaluating the chiroptical response of orientationally fixed molecules is derived. Incorporating zeroth- and first-order multipole expansion terms, it is applied to bridged triarylamine helicene molecules to examine the experimental results of single-molecule chiroptical spectroscopy. The ground- and excited-state wave functions and a series of transition moments required for the evaluation of the anisotropic g value are calculated using time-dependent density … Show more

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Cited by 63 publications
(68 citation statements)
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References 106 publications
(134 reference statements)
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“…The strengths of chiroptical responses were compared across different experiments using the Kuhn dissymmetry factor, 80 , 81 g abs : where A L (or A R ) is the absorbance of left- (or right-) handed circularly polarized light at λ max in the CD spectra. The term ( A L + A R )/2 corresponds to the unpolarized UV–vis absorption, rendering g abs independent of the sample concentration used in the measurement.…”
Section: Results and Discussionmentioning
confidence: 99%
“…The strengths of chiroptical responses were compared across different experiments using the Kuhn dissymmetry factor, 80 , 81 g abs : where A L (or A R ) is the absorbance of left- (or right-) handed circularly polarized light at λ max in the CD spectra. The term ( A L + A R )/2 corresponds to the unpolarized UV–vis absorption, rendering g abs independent of the sample concentration used in the measurement.…”
Section: Results and Discussionmentioning
confidence: 99%
“…For quantum systems such as small molecules and semiconductor nanocrystals, whose dimensions are much smaller than the optical wavelength, the rotatory strength is given by Rosenfeld’s formula 25 where | i 〉 and |  f  〉 are the initial and final states of the transition, and d and m are the electric and magnetic dipole moments. The strength of enantioselectivity in the interaction of a quantum system with circularly polarized light is characterized by the dissymmetry factor , which is the ratio of the rotatory strength to the full dipole absorption rate 26 , …”
Section: Resultsmentioning
confidence: 99%
“…This feature is illustrated in Table 1. The large absorption upon the electric dipole transition is seen to result in g-factors in the range from 10 −4 to 10 −3 , which is typical for small chiral molecules [29]. As the magnetic dipole absorption is about 10 4 weaker than the electric dipole one, the g-factors of the magnetic dipole transitions can be of the order of unity, indicating a strong chiroptical response.…”
Section: Nanorodmentioning
confidence: 82%