Reaction coordinate intrinsic —

As shown by Valtazanos and Ruedenberg [93], steepest descent paths (e.g., the Fiikui intrinsic reaction coordinate)... 

Techniques have been developed within the CASSCF method to characterize the critical points on the excited-state PES. Analytic first and second derivatives mean that minima and saddle points can be located using traditional energy optimization procedures. More importantly, intersections can also be located using constrained minimization [42,43]. Of particular interest for the mechanism of a reaction is the minimum energy path (MEP), defined as the line followed by a classical particle with zero kinetic energy [44-46]. Such paths can be calculated using intrinsic reaction coordinate (IRC) techniques... 

Fig. 5.29 Method for correcting the path followed by a steepest descents algorithm to generate the intrinsic reaction coordinate. The solid line shows the real path and the dotted line shows the algorithmic approximation to it. (Figure redrawn from Gonzalez C and H B Schlegel 1988. An Improved Algorithm for Reaction Path Following. Journal of Chemical Physics 90 2154-2161.)...

The MEP is defined as the path of steepest descent in mass-weighted Cartesian coordinates. This is also called intrinsic reaction coordinate (IRC). In reality, we know that many other paths close to the IRC path would also lead to a reaction and the percentage of the time each path is taken could be described by the Boltzmann distribution. 

MEP (IRC, intrinsic reaction coordinate, minimum-energy path) the lowest-energy route from reactants to products in a chemical process MIM (molecules-in-molecules) a semiempirical method used for representing potential energy surfaces... 

Reaction path following (using intrinsic reaction coordinates). 

Subsequent calculations at the MP2 level locate the two transition structures like those suggested. In this case, Intrinsic Reaction Coordinate (IRC) calculations were used to confirm that these transition structures do in fact connect the minima in question we ll look at this kind of calculation in detail later in this chapter. 

Although intrinsic reaction coordinates like minima, maxima, and saddle points comprise geometrical or mathematical features of energy surfaces, considerable care must be exercised not to attribute chemical or physical significance to them. Real molecules have more than infinitesimal kinetic energy, and will not follow the intrinsic reaction path. Nevertheless, the intrinsic reaction coordinate provides a convenient description of the progress of a reaction, and also plays a central role in the calculation of reaction rates by variational state theory and reaction path Hamiltonians. 

An intrinsic reaction coordinate (IRC) is concerned with travel along the reaction path it can be defined by the path taken by a classical particle sliding from a saddle point down to a minimum. 

Deng, L., Ziegler, T., 1997, Theoretical Study of the Oxidation of Alcohols to Aldehyde by d° Transition-Metal-Oxo Complexes Combined Approach Based on Density Functional Theory and die Intrinsic Reaction Coordinate Method , Organometallics, 16, 716. 

Yoshizawa, K., Shiota, Y., Yamabe, T., 1999, Intrinsic Reaction Coordinate Analysis of the Conversion of Methane to Methanol by an Iron-Oxo Species A Study of Crossing Seams of Potential Energy Surfaces , J. Chem. Phys., Ill, 538. 

Figure 14-4. Intrinsic reaction coordinate for the transesterification of the dinucleotide model with B3LYP and M06-2X functionals. Relative free energies of reaction and activation are provided in kcal/mol...

Intraanchor reactions, conical intersection, two-state systems, 437-438 Intramolecular electron transfer, electron nuclear dynamics (END), 349-351 Intrinsic reaction coordinate (IRC), direct molecular dynamics, theoretical background, 358-361... 

The two H-bonded species in (5.65) can be visualized as points along an intrinsic reaction coordinate that connects reactant and product species through the transition state ( ). In this manner we can gain a more global perspective on how each H-bonded species is related to overall progress along the chemical reaction pathway. 

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