On the Interaction of Light with Molecules: Pathways to the Theoretical Interpretation of Chiroptical Phenomena

Induction of Chirality in Two-Dimensional Nanomaterials: Chiral 2D MoS2 Nanostructures

“…We consider an interband transition from a valence-band state Ψ v m = ψ v m u v of a chiral nanoplatelet to a conduction-band state Ψ c n = ψ c n u c , where the subscripts n and m denote the sets of quantum numbers of the size-quantized states of electrons and holes, and u c ( u v ) and ψ c n (ψ v m ) are the Bloch functions at the Brillouin zone center and envelope functions of electrons (holes). The rotatory strength of this transition, averaged over a monodisperse ensemble of randomly oriented nanoplatelets (Figure a), is given by the Rosenfeld’s formula: Hereinafter, we assume summation over repeated indices for notational brevity. The matrix elements of the electric-dipole and magnetic-dipole moments in a nontrivial metric g αβ are given by the expressions , where − e and m 0 are the elementary charge and mass of a free electron, c is the speed of light in a vacuum, ϵ is the high-frequency permittivity of MoS 2 , ε αβγ is the Levi-Civita tensor, ω nm is the transition frequency, and ξ α and P β are the components of the coordinate operator and of the Kane parameter, respectively.…”

Chiral Detection of Glucose: An Amino Acid-Assisted Surface-Enhanced Raman Scattering Strategy Showing Opposite Enantiomeric Effects on SERS Signals

“…As shown in Scheme A, light can also be chiral in two enantiomeric forms of left-handed and right-handed circularly polarized light (abbreviated as L-CPL and R-CPL, respectively). Because enantiomers show differential absorption of L-CPL (or R-CPL), the so-called circular dichroism (CD) spectroscopy has been developed as a routine technique to distinguish enantiomers . CD signals of enantiomers are opposite and also appear to exhibit a mirror-image relationship, and thus, enantiomeric discrimination is straightforward based on the sign of CD signals.…”

“…Because enantiomers show differential absorption of L-CPL (or R-CPL), the so-called circular dichroism (CD) spectroscopy has been developed as a routine technique to distinguish enantiomers. 6 CD signals of enantiomers are opposite and also appear to exhibit a mirror-image relationship, and thus, enantiomeric discrimination is straightforward based on the sign of CD signals. However, to acquire observable CD signals, a relatively high concentration of the sample or a long optical path length is necessary.…”

Chiral Chromatographic Analysis and Absolute Stereochemistry of Racemic Chlorpheneramine Using Chiral HPLC-Cd-or and Td-DFT Calculations

“…Chiral organic compounds are commonly encountered when studying secondary metabolites and biologically active substances, and therefore the assessment of their absolute configuration (AC) is highly desirable. 1 Nevertheless, the success of studies aiming to establish the AC of optically active substances, using methodologies such as chemical correlation, single-crystal X-ray diffraction, 2 or electronic/vibrational circular dichroism spectroscopies 3 , are highly dependent on the amount and purity of the samples used. In the other hand, the measurement of chiroptical properties through chromatographic techniques, enable the use of smaller and more complex samples.…”