Figure 7 Absorption spectrum for large systems. (Color Online) Absorption
coefficient for x (black curves), y (red curves), and z (blue lines) polarizations for (a) a nanodisk with 5,016 atoms, (b) a single-pentagon nanocone composed of 5,005 atoms, and (c) a two-pentagon nanocone with 5,002 atoms. The photon energies are given in units of . Concerning the different polarization directions, one should notice that, as occurs in C 6v symmetric systems, α z =0 and α x =α y for the nanodisk. On the other hand, the absorption coefficients for the different cones studied (single and two pentagons) are finite for parallel polarization, and it depends on the structure details: as α z increases for a two-pentagon CNC structure, α x,y
decreases. Due to the lack of π/2-rotation symmetry, one should expect, in principle, Selleck Autophagy inhibitor different results for x- and y-polarizations for any nanocone. However, such difference is observable just for the absorption coefficient of the two-pentagon CNC system, mainly in the range of low photon energies. The fact that α x =α y , for the case of one-pentagon CNC structure, may be explained using similar symmetry arguments applied to C 6v symmetry dots , extended to the C 5v symmetric cones. In the case of a two-pentagon CNC, the apex exhibits a C 2v symmetry, preventing OICR-9429 datasheet the cone to be a C 4v symmetric system. As the apex plays a minor role, α x and α y will be slightly different. A large difference between the α z and the α x,y CNC absorption spectra occurs in the limit of low radiation energy. The α z coefficient goes to zero as whereas α x,y shows oscillatory features. The behavior of the absorption for parallel polarization is due to the localization of the electronic states at the atomic sites around the cone border. Oxymatrine As the spatial distribution
of those states are restricted to a narrow extension along the z coordinate, the z degree of freedom is frozen for low excitation energies. The dependence of the absorption spectra on the geometrical LY2603618 purchase details of the different structures is more noticeable for finite-size nanostructures. This can be seen in Figure 8 which depicts the absorption coefficients for the CND composed of 258 atoms, the single-pentagon CNC with 245 atoms, and the two-pentagon CNC with 246 atoms. The degeneracy of the x- and y-polarization spectra is apparent for the smaller one-pentagon nanocone, as expected due to symmetry issues. On the other hand, the symmetry reduction for the two-pentagon structure leads to a rich absorption spectra, exhibiting peaks at different energies and with comparable weights for distinct polarizations. In that sense, absorption experiments may be an alternative route to distinguish between different nanocone geometries. Figure 8 Absorption spectrum for small systems.