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関連する概念動画

Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

267
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
267
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

950
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
950
Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

278
Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
278
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

1.3K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
1.3K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

983
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
983
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

899
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
899

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関連する実験動画

Updated: Jun 13, 2025

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

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極性分子によるFloquet設計のXYZスピンモデルを用いた2軸の回転

Calder Miller1, Annette N Carroll2, Junyu Lin2

  • 1JILA, National Institute of Standards and Technology and Department of Physics, University of Colorado, Boulder, CO, USA. calder.miller@colorado.edu.

Nature
|September 11, 2024
PubMed
まとめ

研究者は光学格子内の極性分子を用いて 新しい量子多体系を設計しました フロケット工学はマイクロ波パルスでスピンモデルを検証し,複雑な量子力学と将来の精度測定を可能にしました.

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Direct Imaging of Laser-driven Ultrafast Molecular Rotation
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関連する実験動画

Last Updated: Jun 13, 2025

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

23.2K
Direct Imaging of Laser-driven Ultrafast Molecular Rotation
10:52

Direct Imaging of Laser-driven Ultrafast Molecular Rotation

Published on: February 4, 2017

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Interactive Molecular Model Assembly with 3D Printing
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科学分野:

  • 量子物理学
  • 原子と分子物理学
  • 凝縮物質物理学

背景:

  • 光学格子内の極性分子は,二極相互作用によるスピン運動のダイナミクスを研究するための調整可能なプラットフォームを提供します.
  • 電気場を用いたイシングとスピン交換の相互作用の正確な制御は,複雑な多体ダイナミクスのエンジニアリングを可能にします.

研究 の 目的:

  • フロケット工学を用いた極性分子の新型量子多体系を実現する.
  • フロケのマイクロ波パルスによるスピンモデルと 静電気フィールドによるスピンモデルの検証

主な方法:

  • 旋回状態で暗号化された超冷たいカリウム-87ルビジウム (40K87Rb) 分子を利用した.
  • マイクロ波パルスシーケンスでFloquetエンジニアリングを採用しました.
  • モデルの検証のためのラムゼイ対比ダイナミクス.

主要な成果:

  • 相互検証されたXXZスピンモデルは,FloquetパルスとDC電場によって調節された.
  • フロケットが設計したXYZモデルによって生成された2軸の回転平均フィールドダイナミクス.
  • 静的なフィールドでハミルトン系を 実現する能力を証明した

結論:

  • フロケット工学は,極性分子で新しい量子多体系を作成するための強力な方法を提供します.
  • このアプローチにより,複雑なハミルトン式をシミュレートし,精度測定のための絡み合った状態を生成することができます.
  • 豊かな分子構造を利用した 多層システムの量子シミュレーションが 将来の応用です