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We present calculations of free energy barriers and diffusivities as functions of temperature for the diffusion of hydrogen in bcc-Fe. This is a fully quantum mechanical approach since the total energy landscape is computed using a new self…

Materials Science · Physics 2015-06-15 I. H. Katzarov , A. T. Paxton , D. L. Pashov

Transition State Theory is a central cornerstone in reaction dynamics. Its key step is the identification of a dividing surface that is crossed only once by all reactive trajectories. This assumption is often badly violated, especially when…

Chemical Physics · Physics 2015-05-07 F. Revuelta , Thomas Bartsch , R. M. Benito , F. Borondo

To describe vibrationally mediated configuration changes of adsorbates on surfaces we have developed a new theory to calculate both reaction rates and pathways. The method uses the T-matrix to describe excitations of vibrational states by…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Alexander Gustafsson , Hiromu Ueba , Magnus Paulsson

The dissociative adsorption of hydrogen on Pd(100) has been studied by ab initio quantum dynamics and ab initio molecular dynamics calculations. Treating all hydrogen degrees of freedom as dynamical coordinates implies a high dimensionality…

Materials Science · Physics 2009-10-30 Axel Gross , Matthias Scheffler

This dissertation unifies one of the central methods of classical rate calculation, `Transition-State Theory' (TST), with quantum mechanics, thereby deriving a rigorous `Quantum Transition-State Theory' (QTST). The resulting QTST is…

Chemical Physics · Physics 2014-08-06 Timothy J. H. Hele

The framework of transition state theory (TST) provides a powerful way for analyzing the dynamics of physical and chemical reactions. While TST has already been successfully used to obtain reaction rates for systems with a single…

Chemical Physics · Physics 2021-02-26 Johannes Reiff , Matthias Feldmaier , Jörg Main , Rigoberto Hernandez

The accuracy of rate constants calculated using transition state theory depends crucially on the correct identification of a recrossing--free dividing surface. We show here that it is possible to define such optimal dividing surface in…

The rate of escape of an ideal bead-spring polymer in a symmetric double-well potential is calculated using transition state theory (TST) and the results compared with direct dynamical simulations. The minimum energy path of the transitions…

Soft Condensed Matter · Physics 2015-05-25 Harri Mökkönen , Timo Ikonen , Tapio Ala-Nissila , Hannes Jónsson

In Part I [J. Chem. Phys. 138, 084108 (2013)] we derived a quantum transition-state theory by taking the t->0+ (short-time) limit of a new form of quantum flux-side time-correlation function containing a ring-polymer dividing surface. This…

Chemical Physics · Physics 2013-09-05 Stuart C. Althorpe , Timothy J. H. Hele

The recrossing correction to the transition state theory estimate of a thermal rate can be difficult to calculate when the energy barrier is flat. This problem arises, for example, in polymer escape if the polymer is long enough to stretch…

Soft Condensed Matter · Physics 2016-09-21 Harri Mökkönen , Tapio Ala-Nissila , Hannes Jónsson

We report the first six-dimensional quantum dynamical calculations of dissociative adsorption and associative desorption. Using a potential energy surface obtained by density functional theory calculations, we show that the initial decrease…

mtrl-th · Physics 2009-10-28 Axel Gross , Steffen Wilke , Matthias Scheffler

The interaction of hydrogen with many transition metal surfaces is characterized by a coexistence of activated with non-activated paths to adsorption with a broad distribution of barrier heights. By performing six-dimensional quantum…

Condensed Matter · Physics 2007-05-23 Axel Gross , Matthias Scheffler

Due to the improvement of computer power and the development of efficient algorithms it is now possible to combine high-dimensional quantum dynamical calculations of the dissociative adsorption of molecular beams with reliable ab-initio…

mtrl-th · Physics 2009-10-30 Axel Gross

The activation and dissociation of H2 molecules on Cu(001) surface is studied theoretically. The activation barrier for the dissociation of H2 on Cu(001) is determined by first-principles calculations to be ~ 0.59 eV in height. Electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Xiaofan Yu , Yangwu Tong , Yong Yang

Classical transition state theory (TST) is the cornerstone of reaction rate theory. It postulates a partition of phase space into reactant and product regions, which are separated by a dividing surface that reactive trajectories must cross.…

Statistical Mechanics · Physics 2007-05-23 Thomas Bartsch , Rigoberto Hernandez , T. Uzer

Variational perturbation theory is used to determine the decay rates of metastable states across a cubic barrier of arbitrary height. For high barriers, a variational resummation procedure is applied to the complex energy eigenvalues…

Quantum Physics · Physics 2016-08-15 H. Kleinert , I. Mustapic

We consider a suspended elastic rod under longitudinal compression. The compression can be used to adjust potential energy for transverse displacements from harmonic to double well regime. The two minima in potential energy curve describe…

Chemical Physics · Physics 2011-12-25 Aniruddha Chakraborty

The evaluation of nucleation rates from molecular dynamics trajectories is hampered by the slow nucleation time scale and impact of finite size effects. Here, we show that accurate nucleation rates can be obtained in a very general fashion…

Chemical Physics · Physics 2021-11-03 Kristof M. Bal

The quantum motions of hydrogen (H) atoms play an important role in the dynamical properties and functionalities of condensed phase materials as well as biological systems. In this work, based on the transfer matrix method and…

Materials Science · Physics 2021-01-26 Cheng Bi , Yong Yang

Rotational transitions in molecular hydrogen collisions are computed. The two most recently developed potential energy surfaces for the H2-H2 system are used from the following works: 1) A.I. Boothroyd, P.G. Martin, W.J. Keogh, M.J.…

Chemical Physics · Physics 2009-11-11 Renat A. Sultanov , Dennis Guster
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