2011
DOI: 10.1016/j.saa.2011.02.024
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Physicochemical studies of molecular hyperpolarizability of imidazole derivatives

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Cited by 39 publications
(9 citation statements)
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“…The geometry of all involved structures was fully optimized with the DFT method, using B3LYP/6‐31G (d,p) basis set. The density functional theory was used to calculate the dipole moment ( μ ), mean polarizability ( α ), and the total first static hyperpolarizability ( β ) of these phenanthrimidazole derivatives in terms of x , y , and z components using the following equations: μ=)(μ2x+μ2y+μ2z12;α=1/3αitalicxx+αyy+αzz;βnormaltot=)(βx2+βy2+βz21/2 βnormaltot=][βitalicxxx+βitalicxyy+βitalicxzz2+βitalicyyy+βitalicyzz+βitalicyxx2+βitaliczzz+βitaliczxx+βitaliczyy21/2…”
Section: Methodsmentioning
confidence: 99%
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“…The geometry of all involved structures was fully optimized with the DFT method, using B3LYP/6‐31G (d,p) basis set. The density functional theory was used to calculate the dipole moment ( μ ), mean polarizability ( α ), and the total first static hyperpolarizability ( β ) of these phenanthrimidazole derivatives in terms of x , y , and z components using the following equations: μ=)(μ2x+μ2y+μ2z12;α=1/3αitalicxx+αyy+αzz;βnormaltot=)(βx2+βy2+βz21/2 βnormaltot=][βitalicxxx+βitalicxyy+βitalicxzz2+βitalicyyy+βitalicyzz+βitalicyxx2+βitaliczzz+βitaliczxx+βitaliczyy21/2…”
Section: Methodsmentioning
confidence: 99%
“…= 8.3693 × 10 −33 e.s.u.). The second order Fock matrix was carried out to evaluate the donor–acceptor interactions in the natural bond orbital (NBO) analysis . For each donor (i) and acceptor (j), the stabilization energy E (2) associated with the delocalization i → j is estimated as, E (2) = q i Fnormalinormalj2italicεjitalicεi, where q i is the donor orbital occupancy, ε i and ε j are diagonal elements, and F(i, j) is the off diagonal NBO Fock matrix element.…”
Section: Methodsmentioning
confidence: 99%
“…The electric dipole moment ( μ ), polarisability ( α ) and the first order hyperpolarizability ( β ) values shows the investigated molecule (FKDTA) become NLO active by using Gaussian 09 package with B3LYP/6‐31+G(d,p) model. The FKDTA possess a more appropriate ratio of off diagonal versus diagonal β tensorial component (r) with a magnitude of 0.01which reflects the in‐plane nonlinearity anisotropy . First order hyperpolarizability is a third rank tensor of β reduced to 10 components due to the Kleinman symmetry .…”
Section: Resultsmentioning
confidence: 99%
“…For instance, phenolphthalein changes from colorless to a pale pink colored substance when altering pH of the medium. The main halochromic compounds classes are: phthalides, [6] coumarin, [7] azo dyes, [8] and Imidazole derivatives [9,10] etc., In particular, the imidazole derivatives have been shown as impressive fluorophores due to their larger π-conjugated structure and acidity nature of the NH-group. These optical properties have been exploited in different applications like photographic materials, luminescent materials, two-photon absorption applications, two-photon fluorescence microscopy, high density storage and 3D microfabrication, Non Linear Optics (NLO), Dye Sensitized Solar Cells (DSSC), Organic Light Emitting Diodes (OLEDs) and molecular switches, etc., [11][12][13] The well-known 4-(4,5-diphenyl-1H-imidazol-2-yl)benzaldehyde (DPI-BA) ( Figure 1) has been condensed with various functional groups to make a different push-pull chromophore motifs such as D-π-A, D-π-D or A'-π-A, Y-shaped so on.…”
Section: Introductionmentioning
confidence: 99%