Suggestion for a new two-photon cross section

We suggest a new two-photon (TP) absorption cross section which is independent of the wavelength of the two laser beams. The different wavelengths may cause changes in the regular cross section by orders of magnitude in the same absorbing molecule. This effect is not due to the resonance term, but to the number of modes.     

Vibrational excitation cross section and V → T rate constants in molecular hydrogen

Vibrational excitation cross sections are computed for H₂ gas at various collision energies and between the lower-lying levels of the molecule. Only V → T processes are considered, while a quantum mechanical treatment via spherical potentials is implemented and applied. Various suggested potentials have been used and the corresponding results critically compared. The low-energy behaviour of the σ_{1 → 0} cross sections, and their orders of magnitude, appear to be in agreement with “experimental” deconvoluted data. Relaxation and excitation rates are computed and the K_1-0 (T) is examined over a wide temperature range to allow comparison with experiments. While the high temperature results are in fair agreement with the available data, the pure V - T mechanism of the present model seems to overestimate low-T rates as a consequence of the increase of (1 → 0) computed ross sections when bringing E_coll very near the lowest, υ = 1, threshold.     

Fundamental limits of the dispersion of the two-photon absorption cross section

We rigorously apply the sum rules to the sum-over-states expression to calculate the fundamental limits of the dispersion of the two-photon absorption cross section. A comparison of the theory with the data suggests that the truncated sum rules in the three-level model give a reasonable fundamental limit. Furthermore, we posit that the two-photon absorption cross section near the limit must have only three dominant states, so by default, the three-level model is appropriate. This ansatz is supported by a rigorous analytical calculation that the resonant term gets smaller as more states are added. We also find that the contributions of the nonexplicitly resonant terms cannot be neglected when analyzing real molecules with many excited states, even near resonance. However, puzzling as it may be, extrapolating an off-resonant result to resonance using only the resonant term of the three-level model is shown to be consistent with the exact result. In addition, the off-resonant approximation is shown to scale logarithmically when compared with the full three-level model. This scaling can be used to simplify the analysis of measurements. We find that existing molecules are still far from the fundamental limit; so, there is room for improvement. But, reaching the fundamental limit would require precise control of the energy-level spacing, independently of the transition dipole moments-a task that does not appear possible using today's synthetic approaches. So, we present alternative methods that can still lead to substantial improvements which only require the control of the transition moment to the first excited state. While it is best to normalize measured two-photon absorption cross sections to the fundamental limits when comparing molecules, we show that simply dividing by the square of the number of electrons per molecule yields a good metric for comparison.     

A small molecule two-photon probe for hydrogen sulfide in live tissues

We report a two-photon probe (FS1) which shows a 21-fold two-photon excited fluorescence enhancement in response to H(2)S and can selectively detect H(2)S in a rat hippocampal slice at a depth of 90-190 μm by using two-photon microscopy.     

Semiempirical calculations of molecular polarizabilities and hyperpolarizabilities of polycyclic aromatic compounds

The correlation of 2D conjugation and the nonlinear properties of a series of polycyclic aromatic compounds were studied by performing semiempirical calculations using the MOPAC package. For linear polyacenes, both linear and nonlinear properties are found to be increased as the number of six-membered rings increases. In general, the polarizabilities, 〈α〉, and second hyperpolarizabilities, 〈γ〉, are found to correlate very well with total resonance energies. In the case of first hyperpolarizabilities, 〈β〉, symmetry is the dominating factor. © 1992 John Wiley & Sons, Inc.     

Distorted wave Born and three-body distorted wave Born approximation calculations of the fully differential cross section for electron-impact ionization of nitrogen molecules

Currently there are no reliable theoretical approaches for calculating fully differential cross sections (FDCSs) for low-energy electron-impact ionization of large molecules. We have recently proposed the orientation-averaged molecular orbital (OAMO) for calculating cross sections averaged over molecular orientations. In this paper, we use the OAMO to calculate distorted wave Born approximation (DWBA) and molecular three-body distorted wave (M3DW) Born approximation FDCS for electron-impact ionization of the nitrogen molecule. Both coplanar symmetric and asymmetric FDCSs are investigated in the energy range of 35.6-400 eV. By comparing with the experimental data, we found that the M3DW is reasonably accurate in this energy range. We also found that the postcollision interaction plays a sufficiently important role and that the DWBA is not reliable.     

Simplified ab-initio calculations for molecular systems

A method is described for reducing a large part of the arithmetic of exact ab-initio SCF molecularorbital calculations based on Slater-type-orbitals without noticeable loss of numerical accuracy. The procedure involves the transformation to Löwdin orthogonalized orbitals and then invoking the NDDO approximation. The three- and four-centre two-electron integrals required are estimated by a truncated Ruedenberg expansion. All one-electron integrals are evaluated exactly. No empirical parameters are employed. Numerical tests on CO, OF₂, O₃ and ONF show that the NDDO approximation is very accurate for Löwdin functions and that the Ruedenberg expansion is arithmetically satisfactory for the SCF MO calculations.     

Total cross section of the SF6 molecule for elastic electron scattering

A multiple scattering method is used for determining the total cross section of elastic electron scattering for the SF₆ molecule in the energy range 10–60 eV.     

Dynamic (hyper)polarizabilities of the sulphur dioxide molecule: coupled cluster calculations including vibrational corrections

In this work we report results for dynamical (hyper)polarizabilities of the sulphur dioxide molecule with inclusion of vibrational corrections. The electronic contributions were computed analytically at the single and double coupled cluster level through response theories for the frequencies 0, 0.0239, 0.0428, 0.0656, 0.0720, and 0.0886 hartree. Contributions of the connected triple excitations to the dynamic electronic properties were also estimated through the multiplicative correction scheme. Vibrational corrections were calculated by means of the perturbation theoretical method. The results obtained show that the zero point vibrational correction is very small for all properties studied while the pure vibrational correction is relevant for the dc-Pockels effect, intensity dependent refractive index, and dc-Kerr effect. For these nonlinear optical processes, the pure vibrational corrections represent approximately 75%, 13%, and 6% of the corresponding electronic contributions for the higher frequencies quoted. The results presented for the polarizability are in good agreement with experimental values available in the literature. For the hyperpolarizabilities we have not obtained experimental results with precision sufficient for comparison.     

Calculation of molecular polarizabilities for large systems within the random phase approximation

We examine the static-field molecular polarizability from a sum over uncoupled Hartree—Fock states (SOS), the Tamm—Dancoff approximation (TDA), and the random phase approximation (RPA). An efficient algorithm for the inversion of the TDA or RPA matrix is outlined, which avoids matrix diagonalization and explicit construction of matrix elements over states, allowing for rapid calculation of molecular polarizabilities. The extension of the method is straightforward; third-order hyperpolarizability is developed as an example. Test cases are reported for molecules represented by an intermediate neglect of differential overlap (INDO) wavefunction.     

Photoionization cross section and angular distribution calculations of carbon tetrafluoride

Correlation in the photoionization dynamics of carbon tetrafluoride is studied in the framework of the time-dependent density-functional theory (TDDFT) approach by employing a multicentric basis set expansion of the scattering wave function linear combination of atomic orbitals (LCAO) TDDFT. Results obtained with the statistical average of orbital potentials and LB94 exchange-correlation (xc) potentials are compared with photoabsorption, photoionization, and electron-scattering experiments as well as with past theoretical calculations. Inadequacies in both the V(xc) parametrizations employed have been suggested from the analysis of the intensity plots for the D2A1 ionization. The formation of resonant scattering states in selected continuum channels has been studied through the analysis of the dipole-prepared scattering wave function; our findings are then compared with results of electron-scattering calculations. Overall, the LCAO-TDDFT results highlight the effectiveness of the approach for the calculation of the unbound spectrum of fairly large molecules.     

Dicyanostilbene-derived two-photon fluorescence probe for free zinc ions in live cells and tissues with a large two-photon action cross section

A novel two-photon fluorescence probe for Zn(2+) derived from dicyanostilbene as a two-photon fluorophore and 4-(pyridine-2-ylmethyl)piperazine as a novel Zn(2+) ligand was developed. The probe shows a 72.5-fold fluorescence enhancement in response to Zn(2+), a large two-photon action cross-section (580 GM), a noncytotoxic effect, and pH insensitivity in the biologically relevant range, and its dissociation constant (K(d)(TP)) is 0.52 ± 0.01 μM. The probe can selectively detect free Zn(2+) ions in live cells for 1500 s or so and in living tissues at a depth of 80-150 μm without interference from other metal ions and the membrane-bound probes.     

MNDO calculations of molecular electric polarizabilities,hyperpolarizabilities, and nonlinear optical coefficients

Molecular electric polarizabilities, hyperpolarizabilities, and nonlinear optical coefficients have been calculated by the MNDO SCF MO method with reasonably satisfactory results.     

Calculation of molecular electric polarizabilities and dipole moments. III. BH molecule

We use a previously proposed variation-perturbation method to calculate the electric polarizabilities and the electric dipole moment at equilibrium nuclear distance of the BH molecule. We obtain 3.56 × 10^?24 cm³ for the perpendicular polarizability α_xx and 3.22 × 10^?24 cm³ for the parallel polarizability α_zz. Our result for the electric dipole moment μ₀ is 1.734 debye units; there is no reliable experimental result to compare it with.     

Enhancement of two-photon absorption cross section and singlet-oxygen generation in porphyrin-cored star polymers

We report a newly synthesized polymer of a star-shaped porphyrin compound(TPA-FxP) with four oligofluorene arms at its meso positions with the pronounced enhancement of the two-photon properties and the generation of singlet oxygen by utilizing the two-photon excited fluorescence resonance energy transfer.The steady-state spectra and transient triplet-triplet absorption spectra give evidence that the enhanced two-photon absorption cross section results from not only the through-space energy transfer(Frster...