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Related Concept Videos

Solution Equilibrium and Saturation01:59

Solution Equilibrium and Saturation

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Imagine adding a small amount of sugar to a glass of water, stirring until all the sugar has dissolved, and then adding a bit more. You can repeat this process until the sugar concentration of the solution reaches its natural limit, a limit determined primarily by the relative strengths of the solute-solute, solute-solvent, and solvent-solvent attractive forces. You can be certain that you have reached this limit because, no matter how long you stir the solution, undissolved sugar remains. The...
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Dynamic Equilibrium02:20

Dynamic Equilibrium

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A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
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Free Energy and Equilibrium02:56

Free Energy and Equilibrium

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The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔGrxn is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
Recall that Q is the numerical value of the mass action...
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The Equilibrium Binding Constant and Binding Strength02:18

The Equilibrium Binding Constant and Binding Strength

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The equilibrium binding constant (Kb) quantifies the strength of a protein-ligand interaction. Kb can be calculated as follows when the reaction is at equilibrium:
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Calculating the Equilibrium Constant02:46

Calculating the Equilibrium Constant

37.5K
The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:
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Calculating Equilibrium Concentrations02:05

Calculating Equilibrium Concentrations

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Being able to calculate equilibrium concentrations is essential to many areas of science and technology—for example, in the formulation and dosing of pharmaceutical products. After a drug is ingested or injected, it is typically involved in several chemical equilibria that affect its ultimate concentration in the body system of interest. Knowledge of the quantitative aspects of these equilibria is required to compute a dosage amount that will solicit the desired therapeutic effect.
A more...
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Unsaturated, Saturated and Super-saturated Solutions
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Unsaturated, Saturated and Super-saturated Solutions

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Scattering off molecules far from equilibrium.

Haiwang Yong1, Jennifer M Ruddock1, Brian Stankus1

  • 1Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA.

The Journal of Chemical Physics
|September 1, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a new molecular dynamics method for analyzing X-ray scattering data from hot molecules. The approach accurately describes structures far from equilibrium, resolving issues with traditional methods.

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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
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Area of Science:

  • Physical Chemistry
  • Molecular Dynamics
  • X-ray Scattering

Background:

  • Pump-probe X-ray scattering reveals molecular structures far from equilibrium.
  • Thermal excitation and energy randomization create complex molecular systems.
  • Traditional methods fail for large amplitude vibrational motions in polyatomic molecules.

Purpose of the Study:

  • Introduce a novel method using molecular dynamics trajectories for analyzing X-ray scattering data.
  • Apply the method to hot, vibrating molecules at thermal equilibrium.
  • Address limitations of traditional analytical solutions for complex molecular structures.

Main Methods:

  • Utilized pump-probe gas phase X-ray scattering experiments.
  • Employed molecular dynamics simulations.
  • Analyzed data from excited 1,3-cyclohexadiene (CHD) and 1,3,5-hexatriene (HT) molecules.

Main Results:

  • The novel method accurately describes molecular structures deviating significantly from equilibrium.
  • Experimental and theoretical results for CHD and HT showed excellent agreement.
  • Identified transition state structures near the inversion barrier of CHD contributing to scattering signals.
  • Clarified that previous inconsistent structural parameters for HT were artifacts of inapplicable analytical equations.

Conclusions:

  • The molecular dynamics approach provides accurate structural information for molecules far from equilibrium.
  • This method overcomes limitations of traditional harmonic approximations for anharmonic systems.
  • The findings resolve inconsistencies in previous structural determinations for 1,3,5-hexatriene.