Spectra of direct excitation of phosphorescence in an isotopic mixed naphthalene crystal. High resolution excitation of the two Davydov components of the N-d8 host crystal

Direct excitation spectra of the triplet exciton band of deuterated naphthalene are presented. The high resolution spectra (0.1 cm^?1) of the two Davydov components show a substructure that we attribute to the presence in the crystal of natural traps and local strains. A model based on the calculation of the eigenstates of a finite plane of molecules is provided for lineshape simulations. In this work the artificial edge effects introduced by the finite size of the model crystal are eliminated by appropriate boundary conditions. Our method allows us to introduce a random distribution of traps, with variable energies, located inside and outside the exciton band, thus featuring a real crystal. Comparison between calculations and experimental results accounts for the salient effects of the traps on the spectroscopic properties of a mixed crystal.     

Localization of excitonic eigenfunctions in isotopically mixed naphthalene crystals

We present numerical calculations for the localization of excitonic eigenfunctions in substitutionally disordered naphthalene crystals. The distribution of the localization indices is evaluated by considering the off-diagonal disorder due to short-ranged triplet interactions. The transition from molecular to crystal-like eigenfunctions occurs gradually as the trap concentration increases.     

Spectra of direct excitation of phosphorescence in an isotopic mixed naphthalene crystal

Distributed polarizabilities of a series of n-alkanes C _n H_2n+2 (n = 2-7) in various conformations have been determined using Bader's topological theory of atoms in molecules. Using an appropriate localization scheme, a simple distributed model is constructed, where the methyl and methylene groups are characterized by their dipole polarizability tensors in local frames, and all charge flow polarizabilities between them are retained. A set of average polarizability parameters is proposed that takes into account the local environment of the methyl and methylene groups, and that not only reproduces the polarizability tensor for any member of the n-alkane series in an arbitrary conformation, but also is suitable for the calculation of induction energies.     

Excitons in molecular J-aggregates of cyanine dyes: Simulation of trapping and energy transfer

A theoretical model is provided to simulate the energy transfer and trapping of excitons in cyanine J-aggregates for various geometrical configurations. Intermolecular interactions are calculated using the extended dipole method. Frenkel exciton states are obtained by a numerical diagonalization of the aggregate Hamiltonian taking into account the static disorder. A model of exciton–phonon coupling is used to describe the trapping and the energy transfer processes among the exciton states. Scattering rates are calculated and used in a Master Equation to obtain the time evolution of the excitonic populations after initial excitation. Configurationally averaged absorption lineshapes and time-resolved fluorescence decays are obtained. Our simulation model is applied to describe the excitation energy transfer between two closely spaced linear chains of pseudoisocyanine (PIC) molecules and to a two-dimensional monolayer composed of a mixing of oxacyanine and thiacyanine molecules.     

Study of structural and electronic transport properties of Ce-doped LaMnO3

The structural and electronic transport properties of La_1−x Ce _x MnO₃ (x=0.0–1.0) have been studied. All the samples exhibit orthorhombic crystal symmetry and the unit cell volume decreases with Ce doping. They also make a metal-insulator transition (MIT) and transition temperature increases with increase in Ce concentration up to 50% doping. The system La_0.5Ce_0.5MnO₃ also exhibits MIT instead of charge-ordered state as observed in the hole doped systems of the same composition.     

Two connected inverse spectral transforms

We establish a transformation which connects the potentials of the one-dimensional Dirac and Klein-Gordon operators. This transformation links the solutions of the nonlinear evolution equations solvable by means of the two inverse spectral transforms which use the Dirac and Klein-Gordon direct and inverse spectral problems.