Kinetic isotope effects and how to describe them


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Date

2017-11

Publication Type

Journal Article

ETH Bibliography

yes

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Abstract

We review several methods for computing kinetic isotope effects in chemical reactions including semiclassical and quantum instanton theory. These methods describe both the quantization of vibrational modes as well as tunneling and are applied to the H + H2 and H + CH4 reactions. The absolute rate constants computed with the semiclassical instanton method both using on-the-fly electronic structure calculations and fitted potential-energy surfaces are also compared directly with exact quantum dynamics results. The error inherent in the instanton approximation is found to be relatively small and similar in magnitude to that introduced by using fitted surfaces. The kinetic isotope effect computed by the quantum instanton is even more accurate, and although it is computationally more expensive, the efficiency can be improved by path-integral acceleration techniques. We also test a simple approach for designing potential-energy surfaces for the example of proton transfer in malonaldehyde. The tunneling splittings are computed, and although they are found to deviate from experimental results, the ratio of the splitting to that of an isotopically substituted form is in much better agreement. We discuss the strengths and limitations of the potential-energy surface and based on our findings suggest ways in which it can be improved.

Publication status

published

Editor

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Volume

4

Pages / Article No.

61501

Publisher

American Institute of Physics

Event

Edition / version

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Subject

Kinetic isotope effect; Quantum field theory; Potential energy; Organic compounds; Reaction rate constants

Organisational unit

09602 - Richardson, Jeremy / Richardson, Jeremy check_circle
09602 - Richardson, Jeremy / Richardson, Jeremy check_circle

Notes

Funding

125760 - Molecular Ultrafast Science and Technology (MUST) (SNF)

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