The Journal of Chemical Physics | Vol.26, Issue.5 | | Pages 1002
Carbon Isotope Effect during Oxidation of Carbon Monoxide with Nitrogen Dioxide
Abstract By use of naturally occurring C12 and C13isotopes in carbon monoxide, the effect of carbon mass on the rate of the reaction CO + NO 2 = CO 2 + NO has been studied in a 15–1 Vycor flask, in the temperature range 540–727°K, and at pressures between 1 and 20 mm. The rate constant for the reaction was k=12×1012 exp (—31,600/RT) cc mole—1 sec—1. The ratio of rate constantsk 12/k 13 was 1.022 at 540°K, 1.019 at 638°K, and 1.016 at 727°K. An activated complex was set up with normal bond distances and normal force constants, and with the reaction coordinate explicitly given in terms of internal coordinates with an interaction term such that the restoring force on an antisymmetric stretching symmetry coordinate is reduced to zero. By means of E. B. Wilson's FGmatrix methods, a vibrational analysis was made of the activated complex, all vibration frequencies were determined for one species, and shifts in frequency due to isotopic substitution were computed by a perturbation method. Similarly, the ratio of effective mass of the reaction coordinate was evaluated, and calculations were checked by the Teller‐Redlich product rule. The isotope rate effect was computed by Bigeleisen's formulation of the activated complex theory. For a set of force constants well within the range of normal values and for normal bond radii, calculated isotope rate ratios at all temperatures are in excellent agreement with observed ones.
Original Text (This is the original text for your reference.)
Carbon Isotope Effect during Oxidation of Carbon Monoxide with Nitrogen Dioxide
Abstract By use of naturally occurring C12 and C13isotopes in carbon monoxide, the effect of carbon mass on the rate of the reaction CO + NO 2 = CO 2 + NO has been studied in a 15–1 Vycor flask, in the temperature range 540–727°K, and at pressures between 1 and 20 mm. The rate constant for the reaction was k=12×1012 exp (—31,600/RT) cc mole—1 sec—1. The ratio of rate constantsk 12/k 13 was 1.022 at 540°K, 1.019 at 638°K, and 1.016 at 727°K. An activated complex was set up with normal bond distances and normal force constants, and with the reaction coordinate explicitly given in terms of internal coordinates with an interaction term such that the restoring force on an antisymmetric stretching symmetry coordinate is reduced to zero. By means of E. B. Wilson's FGmatrix methods, a vibrational analysis was made of the activated complex, all vibration frequencies were determined for one species, and shifts in frequency due to isotopic substitution were computed by a perturbation method. Similarly, the ratio of effective mass of the reaction coordinate was evaluated, and calculations were checked by the Teller‐Redlich product rule. The isotope rate effect was computed by Bigeleisen's formulation of the activated complex theory. For a set of force constants well within the range of normal values and for normal bond radii, calculated isotope rate ratios at all temperatures are in excellent agreement with observed ones.
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internal coordinates vibration formulation perturbation method vycor isotopic substitution no 2 constantsk sub12subk normal bond distances csup12sup isotope rate effect antisymmetric stretching symmetry coordinate tellerredlich product csup13supisotopes reaction coordinate effective mass e b wilsonaposs fgmatrix restoring co
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