ABSTRACT:We present a rigorous finite element method to calculate circular dichroism (CD) in various systems consisting of nanostructures and oriented chiral molecules with electric quadrupole transitions. The interaction between oriented molecule materials, which are regarded as anisotropic chiral media, and metallic nanostructures has been investigated. Our results show that the plasmon-induced CD is sensitive to the orientations of the molecules. In many cases, the contribution of molecular electric quadrupole transitions to the total CD signal can play a key role. More interesting, we have demonstrated that both the quadrupole-and dipole-based CD signals can be improved greatly by matching the phases for the electromagnetic fields and their gradients at different regions around the nanostructures, which are occupied by the oriented chiral molecules. Different regions might produce CD of opposite sign. When integrating over regions with only one side of the proposed nanostructure, we find that the CD-peak may be nearly hundreds-fold over the case of integrating both sides. We believe that these findings would be helpful for realizing ultrasensitive probing of chiral information for oriented molecules by plasmon-based nanotechnology.
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I.INTRODUCTIONChirality, which refers to structures lacking any mirror symmetry planes, is a very intriguing property of molecules. Many biologically active molecules are chiral, which plays a pivotal role in biochemistry and the evolution of life itself.1-2 Detecting and characterizing chiral enantiomers of these biomolecules are of considerable importance for biomedical diagnostics and pathogen analyses. 3 A common technique for chirality discrimination is CD spectroscopy describing the difference in molecular absorption of left-and right-handed circularly polarized photons. [4][5] In general, the molecular CD signal is typically weak, thus, chiral analyses by such a spectroscopic technique have usually been restricted to analysis at a relatively high concentration.
1-5Recent investigations have shown that superchiral fields allow measuring the chiroptical properties of small amounts of molecules with high sensitivity. 6-7 A weak molecular CD signal in the ultraviolet spectral region can be both enhanced and transferred to the visible-near-infrared region when chiral molecules are adsorbed at the surfaces of metallic nanoparticles or in the nanogaps (i.e., hot spots) of particle clusters. However, many related discussions assume that the molecules are randomly oriented, 6, 21-24 and the results have been obtained by averaging over the solid angles of the molecular directions. In fact, this rotational degree of freedom for molecules is absent in many cases, i.e. chiral molecules adopt geometries in which they have an axis with a well-defined orientation with respect to the surface of the nanostructures. 9,[26][27][28][29] This leads to several orientation-selective signals for appropriately sculpted fields. Although there are also some theoretical researches concentrating o...