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Related Concept Videos

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

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At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
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The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
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Third Law of Thermodynamics02:38

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A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
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¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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Understanding Conformational Entropy in Small Molecules.

Lucian Chan1, Garrett M Morris1, Geoffrey R Hutchison2,3

  • 1Department of Statistics, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, U.K.

Journal of Chemical Theory and Computation
|March 24, 2021
PubMed
Summary
This summary is machine-generated.

Predicting molecular conformational entropy is complex due to numerous conformers. This study developed a statistical model using over 12 million conformers, achieving high accuracy and revealing crucial correlations between molecular torsions.

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Area of Science:

  • Computational chemistry
  • Molecular modeling
  • Statistical mechanics

Background:

  • Calculating conformational entropy for flexible molecules is challenging due to the exponential growth of possible conformers.
  • Existing methods include full conformer calculations or empirical corrections, each with limitations.

Purpose of the Study:

  • To develop accurate models for predicting conformational entropy across a wide range of small molecules.
  • To investigate the correlations between torsional degrees of freedom in molecules.

Main Methods:

  • Conformer sampling was performed on over 120,000 small molecules, generating approximately 12 million conformers.
  • A physically motivated statistical model was developed and cross-validated.
  • The model incorporates insights into conformational disorder and torsional correlations.

Main Results:

  • The developed statistical model achieved a mean absolute error of ~4.8 J/mol·K (under 0.4 kcal/mol at 300 K).
  • The model revealed significant correlations between torsional degrees of freedom in most molecules, contrary to common assumptions of independence.
  • The number of low-energy conformations is greatly restricted by these correlations.

Conclusions:

  • The developed models accurately predict molecular entropies and free energies.
  • The findings advance the understanding of small molecule conformational entropy by highlighting the importance of torsional correlations.
  • This work provides a more refined approach to modeling molecular flexibility and its thermodynamic contributions.