The Quantitative Rescattering Theory (QRS) for high-order harmonic generation (HHG) by intense laser pulses is presented. According to the QRS, HHG spectra can be expressed as a product of a returning electron wave packet and the photo-recombination differential cross section of the laser-free continuum electron back to the initial bound state. We show that the shape of the returning electron wave packet is determined mostly by the laser only. The returning electron wave packets can be obtained from the strong-field approximation or from the solution of the time-
We present a theoretical study of the positive charge transfer in stilbene-linked DNA hairpins containing only AT base pairs using a tight-binding model that includes a description of structural fluctuations. The parameters are the charge transfer integral between neighboring units and the site energies. Fluctuations in these parameters were studied by a combination of molecular dynamics simulations of the structural dynamics and density functional theory calculations of charge transfer integrals and orbital energies. The fluctuations in both parameters were found to be substantial and to occur on subpicosecond time scales. Tight-binding calculations of the dynamics of charge transfer show that for short DNA hairpins (<4 base pairs) the charge moves by a single-step superexchange mechanism with a relatively strong distance dependence. For longer hairpins, a crossover to a fluctuation-assisted incoherent mechanism was found. Analysis of the charge distribution during the charge transfer process indicates that for longer bridges substantial charge density builds up on the bridge, but this charge density is mostly confined to the adenine next to the hole donor. This is caused by the electrostatic interaction between the hole on the AT bridge and the negative charge on the hole donor. We conclude both that the relatively strong distance dependence for short bridges is mostly due to this electrostatic interaction and that structural fluctuations play a critical role in the charge transfer, especially for longer bridge lengths.
Calculations are carried out to determine elastic-scattering cross sections and resonance energies for low-energy electron impact on uracil and on each of the DNA bases (thymine, cytosine, adenine, and guanine), for isolated molecules in their equilibrium geometry. Our calculations are compared with the available theory and experiment. We also attempt to correlate this information with experimental dissociation patterns through an analysis of the temporary anion structures that are formed by electron capture in shape resonances.
Using density functional theory and molecular dynamics simulations, we show that delocalized states extending over three bases can be directly excited in single-stranded poly(A) DNA. The results are in semiquantitative agreement with recent experimental results for the delocalization length of these states in single- and double-stranded DNA. The structures used in these molecular dynamics calculations are validated by comparing calculated circular dichroic spectra for d(A)2 and d(A)4 with experiment. These spectra, which arise from highly stacked structures, are in good agreement with experiment, suggesting that the short delocalization in ssDNA arises in spite of strong stacking.
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