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Chair Conformation of Cyclohexane02:02

Chair Conformation of Cyclohexane

19.7K
The chair conformation is the most stable form of cyclohexane due to the absence of angle and torsional strain. The absence of angle strain is a result of cyclohexane’s bond angle being very close to the ideal tetrahedral bond angle of 109.5° in its chair conformer. Similarly, the torsional strain is also absent owing to the perfectly staggered arrangement of bonds.
The hydrogen atoms linked to carbons are arranged in two different axial and equatorial orientations to achieve this...
19.7K
Stereoisomerism of Cyclic Compounds02:33

Stereoisomerism of Cyclic Compounds

11.3K
In this lesson, we delve into the role of ring conformation and its stability, which determines the spatial arrangement and, consequently, the molecular symmetry and stereoisomerism of cyclic compounds. 1,2-Dimethylcyclohexane is used as a case study to evaluate the possible number of stereoisomers. Here, given the multiple (n = 2) chiral centers, there are 2n = 4 possible configurations that lack a plane of symmetry, as the ring skeleton exists in a non-planar chair conformation. In addition,...
11.3K
Conformations of Cycloalkanes02:29

Conformations of Cycloalkanes

15.4K
Adolf von Baeyer attempted to explain the instabilities of small and large cycloalkane rings using the concept of angle strain — the strain caused by the deviation of bond angles from the ideal 109.5° tetrahedral value for sp3  hybridized carbons. However, while cyclopropane and cyclobutane are strained, as expected from their highly compressed bond angles, cyclopentane is more strained than predicted, and cyclohexane is virtually strain-free. Hence, Baeyer’s theory that...
15.4K
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

1.3K
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...
1.3K
Conformations of Cyclohexane02:11

Conformations of Cyclohexane

16.3K
Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal...
16.3K
Entropy02:39

Entropy

36.8K
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...
36.8K

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Updated: Feb 24, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

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ランダムに二重折り畳みされた環状ポリマーの配座エントロピー

Pieter H W van der Hoek1, Angelo Rosa1, Elham Ghobadpour2

  • 1SISSA - Scuola Internazionale Superiore di Studi Avanzati, Via Bonomea 265, 34136 Trieste, Italy.

The Journal of chemical physics
|February 23, 2026
PubMed
まとめ

環状ポリマーが樹木状構造を形成できる正確な数を計算した。この発見は、ゲノム折り畳みとポリマー物理学の理解に役立ち、トポロジカルポリマー科学にとって重要である。

キーワード:
環状ポリマーポリマー物理学ゲノム折り畳みトポロジカルポリマー配座エントロピー

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Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives
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Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives

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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers
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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers

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関連する実験動画

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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives
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Synthesis of Monodisperse Cylindrical Nanoparticles via Crystallization-driven Self-assembly of Biodegradable Block Copolymers
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科学分野:

  • ポリマー物理学
  • 計算生物学
  • 統計力学

背景:

  • トポロジカルに制約された場合、ゲノム様ポリマーは二重折り畳みを通じて樹木状の配座を頻繁に採用する。
  • これらの複雑な折り畳みパターンを理解することは、ゲノム編成とトポロジカル制約下でのポリマー挙動を解読するために不可欠である。

研究 の 目的:

  • 理想的な条件下での環状ポリマーの可能なきつく二重折り畳み配座の正確な数を決定すること。
  • ポリマー折り畳みのトポロジカル複雑さを定量化するための理論的枠組みを開発すること。

主な方法:

  • 環状ポリマーが分岐ツリー構造をラップする方法を表すための新しいコーディングスキームの導入。
  • 許容されるラッピングコードを列挙するためのバートランドの投票定理の変形の適用。
  • 二重折り畳みリングの弾性格子モデルのモンテカルロシミュレーションを使用した検証。

主要な成果:

  • きつく二重折り畳みされた環状ポリマーの許容配座数(環エントロピー)の正確な式を導出した。
  • モンテカルロシミュレーションにより、分岐ノードとツリーサイズの統計に関する理論的予測を確認した。
  • シミュレーションデータと正確な理論式との間の優れた一致を実証した。

結論:

  • この研究は、トポロジカルに制約された環状ポリマー配座の列挙に関する正確な数学的解を提供する。
  • この発見は、ポリマー折り畳みの理解に基本的な貢献をし、ゲノム編成とトポロジカルポリマー物理学への影響を与える。