Arbitrary precision composite pulses for NMR quantum computing

We discuss the implementation of arbitrary precision composite pulses developed using the methods of Brown et al. [K.R. Brown, A.W. Harrow, I.L. Chuang, Arbitrarily accurate composite pulse sequences, Phys. Rev. A 70 (2004) 052318]. We give explicit results for pulse sequences designed to tackle both the simple case of pulse length errors and the more complex case of off-resonance errors. The results are developed in the context of NMR quantum computation, but could be applied more widely.     

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.     

Kinetics of formation of HCN during pyridine pyrolysis

The rate of HCN evolution during the inert pyrolysis of pyridine in the temperature range of 900–1000°C was determined in a flow system using a stirred-flow reactor. The data indicated that HCN was formed through a sequence of reactions rather than during the initial step(s) involving the disappearance of pyridine. The Arrhenius parameters for the first-order step yielding HCN were 39.5 kcal/mol and 6.8 for the activation energy and log frequency factor, respectively. The mechanistic implications of the rate data are discussed, and these are related to the overall pyridine pyrolysis mechanism.     

Gas-phase kinetic and mechanistic studies of some interconverting alkylcyclopropene pairs: involvement of dialkylvinylidene intermediates and their quantitative behaviour

The pyrolyses of two isomeric pairs of alkylcyclopropenes, namely 1,3-dimethyl-(15) and 1-ethyl-cyclopropene (16), and 1,3,3-trimethyl-(5) and 1-isopropyl-cyclopropene (17), have been studied in the gas phase. Complete product analyses at various conversions up to 95% were obtained for the decomposition of each compound at five temperatures over a 40 degrees C range. The time-evolution data showed that the isomerisation reactions 15<==>16 and 5<==>17 were occurring. Kinetic modelling of each system allowed the determination of rate constants for these and all other decomposition processes. Tests confirmed that all reactions were unimolecular and homogeneous. Arrhenius parameters are reported for overall reactions and individual product pathways. Further kinetic analysis allowed us to extract the propensities (at 500 K) for 1,3-C-H insertion of the dialkylvinylidene intermediates involved in the rearrangements as follows: k(prim):k(sec): k(tert)= 1:16.5:46.4. Additional experiments with 13C-labelled cyclopropenes yielded alkyl group migration aptitudes for the dialkylvinylidenes (from the pattern of 13C in the alkyne products) as follows: Me:Et:iPr=1:3.1:1.5. Explanations for these trends are given. Another important finding is that of the dramatic rate enhancements for 1,3-diene product formation from the 1-alkylcyclopropenes; this can be explained by either hyperconjugative stabilisation of the vinylcarbene intermediates involved in this pathway, or their differing propensities to 1,2 H-shift. The observed large variations in product distribution amongst these four cyclopropenes is interpreted in terms of these specific effects on individual pathways.     

Enhanced near-neighbour aggregation of dichloro- and trichloromethane in liquid methane solution from molecular dynamics simulation of radial site–site distribution functions: a simple predictor of solute–solvent compatibility

Molecular dynamics simulations have been performed for a range of equi-site and site–site radial distribution functions for the five-atom halomethane species dichloro-, trichloro-, and tetrachloromethane dissolved in the low-molecular weight hydrocarbons liquefied methane and cyclopropane, with the general aim of using this approach to predict good or bad solvent characteristics. It was found that methane solutions of dichloro- and trichloromethane showed an enhancement of near-neighbour occupancy, the methane solvent seemingly exhibiting a phobic, structure-promoting solvation behaviour towards the two solutes by increasing the number of nearest neighbours above the values that would result from a pure dilution effect caused by the solvent. It was verified that there were no significant regions of solid-like conformations nor remnants of imperfect average homogeneity within the system at the necessarily low temperature (183?K). On the other hand, simulated site–site radial functions with solvents tetrachloromethane and cyclopropane indicate normal solution characteristics towards solutes dichloro- and trichloromethane. The cause of the phobic solvation behaviour of solvent liquid methane towards di- and trichloromethane is not obvious, except that it seemingly involves the presence of hydrogen atoms on the solute species because the site–site centre-of-mass radial distribution functions of tetrachloromethane in liquid methane implied normal solution behaviour.     

Syntheses of the new trinuclear ions [Ru3(CO)11]2− and [Os3(CO)11]2−

Stoichiometric reduction of Os₃CO)₁₂ and Ru₃(CO)₁₂ with K and Ca, respectively; yields the two new cluster dianions [Os₃(CO)₁₁]^2? and [Ru₃(CO)₁₁]^2? which have been isolated and characterized. Temperature-dependent ¹³C NMR spectra for [Os₃(CO)₁₁]^2? and infrared spectra of [Os₃(CO)₁₁]^2? and [Ru₃(CO)₁₁]^2? suggest a similar structure for these dianions in which there is a single edge-bridging carbonyl.     

Direct coulomb and exchange interaction in artificial atoms

We determine contributions from the direct Coulomb and exchange interactions to the total interaction in artificial semiconductor atoms. We tune the relative strengths of the two interactions and measure them as a function of the number of confined electrons. The electrons tend to have parallel spins when they occupy nearly degenerate single-particle states. We use a magnetic field to adjust the single-particle-state degeneracy, and find that the spin configurations in an arbitrary magnetic field are well explained in terms of two-electron singlet and triplet states.