Photonic crystals in biology

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Poster Session, Tuesday, June 15 Theme A1 - B702 Density profiles and inertia moments of interacting bosons in anisotropic harmonic confinement A I. Mese 1 , P Capuzzi 2 , S. Aktas 1 , Z Akdeniz 3 and S E Okan 1 1 Department of Physics, Trakya University, 22030 Edirne, Turkey 2 Consejo Nacional de Investigaciones Cient´ıficas y T´ecnicas and Departamento de F´ısica,FCEyN, Universidad de Buenos Aires, Buenos Aires, RA-1428, Argentina 3 Physics Department, Piri Reis University, 34940 Tuzla, Istanbul, Turkey Abstract— We investigate the structural properties of a system, consisting of N strongly coupled charged bosonic atoms (Rubidium), moving in two dimensions, and interacting through a repulsive K 0 (r) potential [1] inside anisotropic two-dimensional harmonic traps, with N in the range from 4 to 9. Increasing the anisotropy of the confinement potential can drive the system from a twodimensional (2D) to a one-dimensional (1D) configuration. After that, we calculated inertia moment depending on the anisotropy parameters and particle numbers. Interest in a two-dimensional (2D) fluid of charged bosons was greatly stimulated by the work of Nelson and Seung [1], who showed that a fluid of flux lines in strongly type-II superconducting materials can be mapped onto this model system in statistical mechanics. The interaction potential law is given by V ( r) V0K 0( r / r0 ) , with V0 a coupling-strength parameter and K 0 x the modified Bessel function behaving as lnx at short distances. Following an early variational Monte Carlo study [2], the transition between an Abrikosov lattice and a homogeneous liquid of vortices was studied within this mapping by means of the dislocation mechanism of melting [3] and the density functional theory of freezing [4]. A first-order transition from an Abrikosov lattice to a bosonic superfluid of entangled vortices has also been demonstrated by the path-integral Monte Carlo method [5]. A triangular Abrikosov lattice is, of course, equivalent to the Wigner lattice for a 2D Coulomb system. In this work we use this very simple theoretical method to evaluate the structure of small crystallites of vortex lines within the Nelson–Seung mapping, by means of self-consistent variational calculations on the anisotropic harmonic trapped bosons with repulsive interactions using a Gaussian wavefunction approximation [6]. We investigate the density profiles of the ground state configurations and compare with recent experiment [7] and published numerical results [8]. In figure 1, we calculate inertia moment as a function of coupling constant for N=4, 5, 6 and 9 particles. I x / I y I x /I y 80 70 60 50 40 30 20 10 = 1.0 = 0.9 = 0.8 = 0.7 = 0.6 = 0.5 = 0.4 = 0.3 = 0.2 = 0.1 0 0 1 2 3 4 5 6 V0 / w 100 80 60 40 20 0 = 1.0 = 0.9 = 0.8 = 0.7 = 0.6 = 0.5 = 0.4 = 0.3 = 0.2 = 0.1 0 1 2 3 4 5 6 V0 / w a) b) I x /I y 90 80 70 60 50 40 30 20 10 0 = 1.0 = 0.9 = 0.8 = 0.7 = 0.6 = 0.5 = 0.4 = 0.3 = 0.2 = 0.1 0 1 2 3 4 5 6 V0 / w c) d) I x / I y 50 40 30 20 10 0 = 1.0 = 0.9 = 0.8 = 0.7 = 0.6 = 0.5 = 0.4 = 0.3 = 0.2 = 0.1 0 1 2 3 4 5 6 Figure 1 We showed the ratio of inertia moments as a function of coupling parameter for different anisotropy values. Corresponding author: aihsanmese@yahoo.com [1] Nelson D R and Seung H S, Phys. Rev. B, 39 9153, 1989 [2] Xing L and Tesanovic Z 1990 Phys. Rev. Lett. 65 794 [3] Ma H-R and Chui S T 1991 Phys. Rev. Lett. 67 505 [4] Sengupta S, Dasgupta C, Krishnamurthy H R, Menon G I and Ramakrishnan T V 1991 Phys. Rev. Lett. 67 3444 [5] Nordborg H and Blatter G 1997 Phys. Rev. Lett. 79 1925 [6] A. I. Mese et al., J. Phys.: Condens. Matter 20 , 335222, 2008 [7] M Saint Jean and C Guthmann, J. Phys.: Condens. Matter 14 (2002) 13653–13660 [8] S. W. S. Apolinario, B. Partoens, and F. M. Peeters, Physical Review E 72, 046122 2005 V0 / w 6th Nanoscience and Nanotechnology Conference, zmir, 2010 262
Poster Session, Tuesday, June 15 Theme A1 - B702 Characterization of Gold Nanoparticles Produced by Femtosecond Laser E. Akman 1 , C.K.Akkan 2 , O.C. Aktas 2 , B.Genc 1 , E.Kacar 1,3 , A.Demir 1 1 Laser Technologies Research and Application Center, Kocaeli University, Kocaeli 41380, Turkey 2 Leibniz Institute for New Materials ( INM), CVD/Biosurfaces Department, Saarbrücken, D-66123, Germany 3 University of Kocaeli, Faculty of Education, 41380 Umuttepe, Kocaeli, Turkey Abstract; Due to their size dependent optical properties, gold nanoparticles have been widely used in various biomedical applications such as biosensing, medical diagnostics and therapeutics. For medical applications, production of nanoparticles under nontoxic conditions has a crucial importance. Since the precursor has always required in chemical process, laser-induced ablation from a solid target has emerged as a alternative method to solve the toxocity problem. In this experiment, we have produced gold nanopaticles in aqueous solutions using femtosecond laser. The effects of laser energy have been examined by analysing the UV/VIS spectrum and SEM image. Nanoparticles are defined as stable colloid solutions of clusters of atoms with sizes ranging from 1-100 nm. At this nanoscale, gold nanoparticles possess different optical characteristics when compared to the bulk gold, most remarkable characteristic is the changing of the colour from yellow to ruby red when bulk gold is converted into nanoparticulate gold. [1]. This alteration of the colour of the gold nanoparticle is the basic detection mechanism in biosensor applications [2]. As the absorption bands are related to size and aspect ratio of metal and semiconductor nanoparticles, UV/VIS absorption spectroscopy is one of the most widely used method for characterizing the optical properties and electronic structures of nanoparticles [3]. In this current study, the synthesis of the gold nanoparticles have been carried out using a pulsed Ti:Sapphire laser, which operates at 1kHz repetition rate with a pulse width of
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