:orphan: .. status publishable .. product TSS .. sectionauthor Gerhard .. SME Walter .. PR René .. TW Kathy .. date 2018 .. _TSSDTS: |medea| Transition State Search - Maps Out Reaction and Diffusion Pathways, Locates Transition States, and Calculates Activation Barriers ----------------------------------------------------------------------------------------------------------------------------------------- Transitions states are key for describing the kinetics and rates of activated processes, such as chemical reactions and mass transport in solids, interfaces, and on surfaces. .. admonition:: **At-a-Glance** |medea|\ :sup:`®`\ [#TM]_ *Transition State Search* (*TSS*) maps out transition paths, i.e. how atoms are rearranged in chemical reactions and diffusion processes, and determines the structure and energy of transition states. Combined with |medea| |mphonon|, this allows you to compute reaction rates and jump rates as a function of temperature. **Key Benefits** * Fully automated multi-step computational procedure search transition paths, and optimize transition states in a single run * Unrestricted and flexible parallelization of calculations * Several different computational techniques can be combined or separately applied * Customizable energy profile visualization and structural animation of over-barrier motion Transition states determine important system properties, such as reaction rates and activation energy barriers, which govern kinetic and diffusive behavior. Since transition states are located at saddle points of the potential energy surface representing local maxima, along one particular direction, special algorithms are required to locate and refine associated structures. |medea| |transitionstatesearch| makes the location of such transition states computationally efficient. |medea| |transitionstatesearch| can be used to find transition states and activation energies, for surface reactions such as the dissociation of a di-sulfide bridge of a lubricant additive on the Cu\ :sub:`2`\ O (111) surface in the presence of hydroxyl groups. The blue line in the figure below connects the energy minima with the refined maximum, representing the transition state. .. image:: /Datasheets/images/TSS-energy-profile4.jpg :width: 3.2in :align: center With combinations of different computational techniques, |medea| |transitionstatesearch| finds energy barriers of a multitude of diffusion pathways of atoms in solids, exemplified in the figure below for migration of Li cations in a battery cathode material. .. image:: /Datasheets/images/TSS-energy-profile-ensemble2.jpg :width: 3.2in :align: center :myquote:`I was also interested in formulating the path of chemical reactions.` :myquotee:`Kenishi Fukui` Properties from |medea| |transitionstatesearch| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ * Structure and energy of transition states of chemical reactions, and for diffusion of atomic or molecular species * Energy profile along reaction or diffusion path * Structures and energies of multiple minima and transition states * Structural animation of reaction/diffusion path The figure below shows the calculated diffusivity of hydrogen in fcc Ni compared to experiments [#Wimmer2008]_, and illustrates the level of accuracy which can be obtained with |medea| |transitionstatesearch| in combination with |medea| |mphonon|, |medea| |mvasp|, and activated transition state theory as described in [#Wimmer2008]_. The computed diffusion coefficient (solid line) as a function of temperature is in excellent agreement with measurements (individual points), even for tiny isotope anomalies shown in the insert. .. image:: /Datasheets/images/TSS-picture3.png :align: center Computational Characteristics ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ * Automatic setup of initial transition path by linear interpolation or manually specified custom structures * Map out minimum energy path with the Nudged Elastic Band (NEB) method [#Jonsson1998]_ or its double nudged variant [#Trygubenko2004]_ * Multiple automatic refinements of the path, i.e. automatic zoom on the region near the transition states, providing a new set of NEB images * Further refine the transition state candidates by * Climbing Image NEB technique [#Henkelman2000]_ * Dimer method [#Olsen2004]_ * Final optimization of transition states, using a gradient minimizer (quasi Newton approach) * Search for transition state in a specific direction, following the lowest eigenmode by means of the Dimer method * Transition state exploration in randomly chosen directions by the Dimer method * Global BFGS optimizer for the NEB approaches * Fully integrated with the |medea| |mjobservertaskserver| infrastructure * Efficient employment of computational resources in locating transition states Required Modules ~~~~~~~~~~~~~~~~ * |medea| |menvironment| * |medea| |transitionstatesearch| * |medea| |mvasp| Recommended Modules ~~~~~~~~~~~~~~~~~~~ * |medea| |mphonon| * |medea| |ffo| * |medea| |diffusion| Find Out More ^^^^^^^^^^^^^ Learn how to apply |medea| |transitionstatesearch| in the following |appnotewixpage|: * Adsorption and Dissociation of Iodine Molecules on a Zr Surface * Catalytic Isomerization of pent-2-ene in H-ZSM-22 * Diffusion of Hydrogen in Nickel .. [#TM] |regTMinfo| .. full author list: E. Wimmer, W. Wolf, J. Sticht, P. Saxe, C. B. Geller, R. Najafabadi, and G. A. Young .. [#Wimmer2008] E. Wimmer *et al.*, *Phys. Rev. B* **77**, 134305 (2008) (`DOI `__) .. full author list: H. Jonsson, G. Mills, and K. W. Jacobsen .. [#Jonsson1998] H. Jonsson *et al.*, "Nudged elastic band method for finding minimum energy paths of transitions", in *Classical and Quantum Dynamics in Condensed Phase Simulations*, edited by B. J. Berne, G. Ciccotti, and D. F. Coker (World Scientific, 1998), p. 385 (`DOI `__) .. full author list: S. A. Trygubenko and D. J. Wales .. [#Trygubenko2004] S. A. Trygubenko *et al.*, *J. Chem. Phys.* **120**, 2082 (2004) (`DOI `__) .. full author list: G. Henkelman, B. P. Uberuaga, and H. Jonsson .. [#Henkelman2000] G. Henkelman *et al.*, *J. Chem. Phys.* **113**, 9901 (2000) (`DOI `__) .. full author list: R. A. Olsen, G. J. Kroes, G. Henkelman, A. Arnaldsson, and H. Jonsson .. [#Olsen2004] R. A. Olsen *et al.*, *J. Chem. Phys.* **121**, 9776 (2004) (`DOI `__) .. only:: html :download: :download:`pdf `