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Related Concept Videos

Hess's Law03:40

Hess's Law

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There are two ways to determine the amount of heat involved in a chemical change: measure it experimentally, or calculate it from other experimentally determined enthalpy changes. Some reactions are difficult, if not impossible, to investigate and make accurate measurements for experimentally. And even when a reaction is not hard to perform or measure, it is convenient to be able to determine the heat involved in a reaction without having to perform an experiment.
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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...
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Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
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Hess’s law can be used to determine the enthalpy change of any reaction if the corresponding enthalpies of formation of the reactants and products are available. The main reaction may be divided into stepwise reactions : (i) decompositions of the reactants into their component elements, for which the enthalpy changes are proportional to the negative of the enthalpies of formation of the reactants, −ΔHf°(reactants), followed by (ii) re-combinations of the elements (obtained in step 1) to...
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Polarimetry finds application in chemical kinetics to measure the concentration and reaction kinetics of optically active substances during a chemical reaction. Optically active substances have the capability of rotating the plane of polarization of linearly polarized light passing through them—a feature called optical rotation. Optical activity is attributed to the molecular structure of substances. Normal monochromatic light is unpolarized and possesses oscillations of the electrical...
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Calculating Reaction Rates with Partial Hessians: Validation of the Mobile Block Hessian Approach.

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|December 2, 2015
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Summary

The mobile block Hessian (MBH) method accurately calculates vibrational modes for complex molecular systems. This approach overcomes limitations of standard methods, enabling precise prediction of chemical reaction kinetics.

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Area of Science:

  • Computational chemistry
  • Theoretical chemistry
  • Physical chemistry

Background:

  • Standard frequency calculations can yield artifactual imaginary frequencies for partially optimized molecular structures.
  • Accurate vibrational frequencies are crucial for predicting reaction rate coefficients via vibrational partition functions.
  • Computational cost often prohibits high-level quantum chemical treatments for large molecular systems.

Purpose of the Study:

  • To validate the Mobile Block Hessian (MBH) method for accurate chemical reaction kinetics in large molecular systems.
  • To assess the MBH method's ability to overcome computational constraints in theoretical chemistry.
  • To demonstrate the MBH method's utility where standard full Hessian procedures fail.

Main Methods:

  • The study validates the previously developed Mobile Block Hessian (MBH) method.
  • The MBH method is applied to calculate vibrational modes in complex molecular systems.
  • The accuracy of MBH in predicting chemical reaction kinetics is tested in depth.

Main Results:

  • The MBH method accurately calculates vibrational modes for partially optimized molecular structures.
  • The MBH procedure effectively remedies the issue of imaginary frequencies in standard calculations.
  • The MBH method demonstrates potential for accurate kinetic parameter prediction in large systems.

Conclusions:

  • The Mobile Block Hessian (MBH) method provides an accurate approach for vibrational mode calculation in complex systems.
  • MBH overcomes limitations of standard methods, enabling reliable prediction of chemical reaction kinetics.
  • This method offers significant advantages for computational chemistry, particularly for large molecular systems.