Photoelectron–photoion coincidence study of the bromobenzene ion

Ionized o-, m-, and p-difluorobenzene dissociate through ring-opened intermediates: a TPEPICO investigation

Threshold photoelectron photoion coincidence (TPEPICO) experiments have shown that o-, m-, and p-difluorobenzene ions dissociate via a common, ring-opened intermediate and not via ionized p-difluorobenzene. Rice-Ramsperger-Kassel-Marcus (RRKM) modeling of the experimental breakdown curves yields activation energies for the initial isomerization of 4.48 +/- 0.05, 4.55 +/- 0.05, and 4.68 +/- 0.05 eV for o-, m-, and p-difluorobenzene, respectively. These values place each ion at a similar absolute energy and thus similar transition states. A large positive DeltaS(double dagger) for each ion (ca 100 J K(-1) mol(-1)) suggests a ring-opened structure for these transition states.

Efficient and reliable calculation of Rice-Ramsperger-Kassel-Marcus unimolecular reaction rate constants for biopolymers: modification of Beyer-Swinehart algorithm for degenerate vibrations

The Beyer-Swinehart (BS) algorithm, which calculates vibrational state density and sum, was modified for simultaneous treatment of degenerate vibrations. The modified algorithm was used in the grouped-frequency mode of the Rice-Ramsperger-Kassel-Marcus (RRKM) unimolecular reaction rate constant calculation for proteins with relative molecular mass as large as 100,000. Compared to the original BS method, reduction in computation time by a factor of around 3000 was achieved. Even though large systematic errors arising from frequency grouping were observed for state densities and sums, they more or less canceled each other, thus enabling reliable rate constant calculation. The present method is thought to be adequate for efficient and reliable RRKM calculations for any macromolecule in the gas phase such as the molecular ions of proteins, nucleic acids, and carbohydrates generated inside a mass spectrometer. The algorithm can also be used to calculate the internal energy distribution of a macromolecule at thermal equilibrium.

Improved Whitten−Rabinovitch Approximation for the Rice−Ramsperger−Kassel−Marcus Calculation of Unimolecular Reaction Rate Constants for Proteins

The Whitten-Rabinovitch (WR) approximation used in the semi-classical calculation of the Rice-Ramsperger-Kassel-Marcus (RRKM) unimolecular reaction rate constant was improved for reliable application to protein reactions. The state sum data for the 10-mer of each amino acid calculated by the accurate Beyer-Swinehart (BS) algorithm were used to obtain the residue-specific correction functions (w). The correction functions were obtained down to a much lower internal energy range than reported in the original work, and the cubic, rather than quadratic, polynomial was used for data fitting. For a specified sequence of amino acid residues in a protein, an average was made over these functions to obtain the sequence-specific correction function to be used in the rate constant calculation. Reliability of the improved method was tested for dissociation of various peptides and proteins. Even at low internal energies corresponding to the RRKM rate constant as small as 0.1 s-1, the rate constant calculated by the present method differed from the accurate BS result by 60% only. In contrast, the result from the original WR calculation differed from the accurate result by a factor of 3000. Compared to the BS method, which is difficult to use for proteins, the main advantage of the present method is that the RRKM rate constant can be calculated instantly regardless of the protein mass.

A systematic and efficient method to estimate the vibrational frequencies of linear peptide and protein ions with any amino acid sequence for the calculation of Rice-Ramsperger-Kassel-Marcus rate constant

A systematic method to automatically estimate the vibrational frequency sets of linear peptide and protein ions with any amino acid sequence, which is needed in Rice-Ramsperger-Kassel-Marcus (RRKM) calculations for dissociation of these ions, has been developed. The method starts from the frequencies of free amino acids calculated quantum chemically at the DFT/B3LYP/6-31G** level. Some of these were systematically eliminated to get fictitious sets of frequencies for each amino acid at the C-terminus, N-terminus, and inside the chain. By collecting these sets as needed for a specified amino acid sequence and adding vibrations appearing upon peptide bond formation and protonation, a complete set of vibrational frequencies was obtained. Other conditions for RRKM calculations have also been systematically specified. RRKM calculations performed under various conditions have shown that the present method can be useful for an order of magnitude estimation of a statistical rate constant even at low internal energy region. The fact that arbitrariness involved in constructing an entire frequency set simply through spectral correlation can be avoided, and that any protein ion can be handled systematically and rapidly once its sequence and the number of protons attached are specified, are the main advantages of the present method.

Generation and Reactivity of the Phenyl Cation in Cryogenic Argon Matrices: Monitoring the Reactions with Nitrogen and Carbon Monoxide Directly by IR Spectroscopy

The phenyl cation 1 has been prepared by co-deposition of iodobenzene 6 or bromobenzene 7 with a microwave-induced argon plasma and characterized by IR spectroscopy in cryogenic argon matrices. The cation can clearly be identified by its strongest absorption at 3110 cm(-1) that is rapidly bleached upon visible light irradiation. This characteristic band is observed neither in the conventional photochemistry of 6 or 7 nor in discharge experiments with alkyl halides or chlorobenzene. The latter finding is in line with energetic considerations. According to density functional theory (DFT) computations, the strongest absorption of 1 is caused by a C-H stretching vibration that involves almost entirely the ortho-hydrogens. This is confirmed by isotopic labeling experiments. Co-deposition of halobenzene/N2 mixtures leads to a decrease of the 3110 cm(-1) absorption, whereas several new signals are detected in the 2200-2400 cm(-1) range of the IR spectrum. Annealing of a matrix that contains 1 and 1% N2 leads to an increase of a broad band at 2260 cm(-1) that is assigned to the benzenediazonium ion 2. A sharp signal at 2327 cm(-1) that had previously been assigned to the N-N stretching vibration of 2 is due to molecular nitrogen. The mechanism that triggers the IR activity of N2 is not yet understood. Annealing of a matrix that contains 1 and 0.5% CO leads to an increase of a broad band at 2217 cm(-1) that is considerably stronger than the 2260 cm(-1) absorption of 2. This signal is assigned to the C-O stretching vibration of the benzoyl cation 12, in excellent agreement with previous investigations of 12 in superacidic media. Some consequences of the measured frequencies with regard to bonding in 2 and 12 are discussed.

Internal energy content of n-butylbenzene, bromobenzene, iodobenzene and aniline molecular ions generated by two-photon ionization at 266 nm. A photodissociation study

A technique to investigate photodissociation kinetics on a nanosecond time scale has been devised for molecular ions generated by multiphoton ionization (MPI) using mass-analyzed ion kinetic energy spectrometry. The branching ratio or rate constant has been determined for the photodissociation of the n-butylbenzene, bromobenzene, iodobenzene, and aniline molecular ions generated by MPI at 266 nm. The ion internal energies have been estimated by comparing the measured kinetic data with the previous energy dependence data. The analysis has shown that only those molecular ions generated by two-photon ionization contribute to the photodissociation signals. Around half of the available energy has been found to remain as molecular ion internal energy in the two-photon ionization process. Copyright 1999 John Wiley & Sons, Ltd.