Kinetics of the reaction of the heaviest hydrogen atom with H2, the 4Heμ + H2 → 4HeμH + H reaction: Experiments, accurate quantal calculations, and variational transition state theory, including kinetic isotope effects for a factor of 36.1 in isotopic mass

Abstract

The neutral muonic helium atom 4Heμ, in which one of the electrons of He is replaced by a negative muon, may be effectively regarded as the heaviest isotope of the hydrogen atom, with a mass of 4.115 amu. We report details of the first muon spin rotation (μSR) measurements of the chemical reaction rate constant of 4Heμ with molecular hydrogen, 4Heμ + H2 → 4HeμH + H, at temperatures of 295.5, 405, and 500 K, as well as a μSR measurement of the hyperfine coupling constant of muonic He at high pressures. The experimental rate constants, kHeμ, are compared with the predictions of accurate quantum mechanical (QM) dynamics calculations carried out on a well converged Born–Huang (BH) potential energy surface, based on complete configuration interaction calculations and including a Born–Oppenheimer diagonal correction. At the two highest measured temperatures the agreement between the quantum theory and experiment is good to excellent, well within experimental uncertainties that include an estimate of possible systematic error, but at 295.5 K the quantum calculations for kHeμ are below the experimental value by 2.1 times the experimental uncertainty estimates. Possible reasons for this discrepancy are discussed. Variational transition state theory calculations with multidimensional tunneling have also been carried out for kHeμ on the BH surface, and they agree with the accurate QM rate constants to within 30% over a wider temperature range of 200–1000 K. Comparisons between theory and experiment are also presented for the rate constants for both the D + H2 and Mu + H2 reactions in a novel study of kinetic isotope effects for the H + H2 reactions over a factor of 36.1 in isotopic mass of the atomic reactant.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 14, 2011
Source ID
10.1063/1.3657440

Entities

People

  • Bruce C. Garrett
  • Donald G. Fleming
  • Donald J. Arseneau
  • Donald Truhlar
  • George C. Schatz
  • Jess H. Brewer
  • Kirk A Peterson
  • Oleksandr Sukhorukov
  • Steven L. Mielke

Organizations

  • Air Force Office of Scientific Research
  • Northwestern University
  • Pacific Northwest National Laboratory
  • United States Department of Energy
  • University of British Columbia
  • University of Minnesota
  • Washington State University

Tags

Fields of Study

  • Physics

Readers

  • Molecular Photonics/Laser Physics
  • Quantum Chemistry

Technology Areas

  • Microelectronics
  • Quantum Computing