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Related Concept Videos

Reaction Quotient02:35

Reaction Quotient

The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
Reaction Mechanisms: The Steady-State Approximation01:26

Reaction Mechanisms: The Steady-State Approximation

The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...
Reaction Mechanisms: Rate-limiting Step Approximation01:29

Reaction Mechanisms: Rate-limiting Step Approximation

The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the observed rate law and typically involves approximation methods like the RDS approximation or the steady-state approximation.In the RDS approximation, also known as the rate-limiting-step or equilibrium approximation, the reaction mechanism consists of one or more reversible reactions near equilibrium, followed by a slower RDS, and then one or...
Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
Mass Analyzers: Common Types01:19

Mass Analyzers: Common Types

The quadrupole mass analyzer consists of four cylindrical metal rods arranged in a diamond carrying a DC voltage and a radio-frequency AC voltage. The motion of ions through the quadrupole depends on the field strength, causing only ions of a certain m/z to resonate successfully and strike the detector at a given field strength. Though the transmission rate for these analyzers is high, the exact elemental composition of the sample is not determined because of low resolution; however, they are...

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Related Experiment Video

Updated: May 10, 2026

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

A microiterative intrinsic reaction coordinate method for large QM/MM systems.

Iakov Polyak1, Eliot Boulanger, Kakali Sen

  • 1Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany.

Physical Chemistry Chemical Physics : PCCP
|June 27, 2013
PubMed
Summary

This study introduces a new method for intrinsic reaction coordinate (IRC) calculations in large systems, enabling theoretical studies of complex chemical reactions. The approach adapts IRC computations for quantum mechanics/molecular mechanics (QM/MM) methods, expanding their applicability.

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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

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Last Updated: May 10, 2026

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Chemical Dynamics

Background:

  • Intrinsic Reaction Coordinate (IRC) computations are crucial for understanding chemical reaction pathways.
  • Standard IRC methods are often computationally prohibitive for large molecular systems, especially those studied with QM/MM.
  • A need exists for efficient IRC methods applicable to complex, large-scale chemical systems.

Purpose of the Study:

  • To develop and implement an efficient intrinsic reaction coordinate (IRC) computational strategy for large systems.
  • To adapt existing IRC algorithms for use with Quantum Mechanics/Molecular Mechanics (QM/MM) methods.
  • To demonstrate the broad applicability of the developed method for studying enzymatic reactions.

Main Methods:

  • A novel strategy analogous to microiterative transition state optimization is employed.
  • IRC equations are applied to a core reaction region, with remaining degrees of freedom relaxed iteratively.
  • The implementation integrates with stabilized Euler, local quadratic approximation, and Hessian predictor-corrector IRC algorithms.
  • The method was tested using QM/MM setups for enzymatic reactions.

Main Results:

  • The developed method successfully performs IRC computations on large systems using QM/MM.
  • Validation on small gas-phase systems shows agreement with standard IRC procedures.
  • The approach demonstrates broad applicability, successfully applied to two enzymatic reactions.

Conclusions:

  • The new IRC strategy effectively extends the application of IRC computations to large molecular systems.
  • This development facilitates theoretical studies of complex chemical reactions, including those in biological systems.
  • The method offers a valuable tool for computational chemists and biochemists studying reaction mechanisms.