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Related Concept Videos

Inertia Tensor01:24

Inertia Tensor

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The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
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¹³C NMR: ¹H–¹³C Decoupling01:04

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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
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¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR

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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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Applications Of NMR In Biology01:25

Applications Of NMR In Biology

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Nuclear magnetic resonance (NMR) spectroscopy is a very valuable analytical technique for researchers. It has been used for more than 50 years as an analytical tool. F. Bloch and E. Purcell formulated NMR in 1946 and won the 1952 Nobel Prize in Physics  for their work. Biological macromolecules such as proteins, nucleic acids, lipids, and organic molecules including pharmaceutical compounds, can be studied using this versatile tool that exploits the magnetic properties of certain nuclei.
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¹H NMR: Pople Notation01:09

¹H NMR: Pople Notation

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The Pople nomenclature system classifies spin systems based on the difference between their chemical shifts. Coupled spins are denoted by capital letters with subscripts indicating the number of equivalent nuclei. When the coupled nuclei have well-separated chemical shifts, they are assigned letters that are far apart in the alphabet, such as A and X. When the difference in chemical shifts is small, coupled nuclei are named using adjacent letters of the alphabet (AB, MN, or XY).
A proton...
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NMR Spectrometers: Overview01:20

NMR Spectrometers: Overview

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NMR spectrometers consist of a strong magnet, a radiofrequency transmitter, and a detector attached to a computer console for recording spectra of samples containing NMR-active nuclei. In first-generation NMR instruments called continuous-wave spectrometers, the resonance frequencies of the nuclei are determined by frequency-sweep or field-sweep methods. The magnetic field strength is fixed and the rf signal is swept in the former, while the radiofrequency signal is fixed and the magnetic field...
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Updated: Feb 5, 2026

Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
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TensorView: A software tool for displaying NMR tensors.

Robert P Young1, Corbin R Lewis1, Chen Yang1

  • 1Department of Chemistry, University of California, Riverside, California, USA.

Magnetic Resonance in Chemistry : MRC
|September 20, 2018
PubMed
Summary
This summary is machine-generated.

TensorView is a new computational tool that visually represents nuclear magnetic resonance (NMR) tensors on 3D molecular models. This tool enhances understanding of molecular structure and electronic properties by displaying NMR tensor data.

Keywords:
ellipsoidovaloidsecond-rank Cartesian tensorshielding surfacesolid-state NMRtensor

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Area of Science:

  • Computational Chemistry
  • Structural Biology
  • Nuclear Magnetic Resonance Spectroscopy

Background:

  • Nuclear Magnetic Resonance (NMR) tensors provide rich information about molecular and electronic structure.
  • Visualizing NMR tensors on 3D molecular models is crucial for understanding their geometric relationships.
  • Existing methods may lack the flexibility to display diverse tensor properties from various computational packages.

Purpose of the Study:

  • To introduce TensorView, a novel computational tool for visualizing NMR tensors on molecular frameworks.
  • To provide a robust platform for displaying tensor properties derived from diverse computational chemistry packages.
  • To present two mathematical representations for tensor interaction surfaces: ellipsoidal and ovaloid forms.

Main Methods:

  • Development of the TensorView computational tool utilizing the Mathematica programming environment.
  • Integration of graphical interface and molecular display functionalities for intuitive visualization.
  • Implementation of both ellipsoidal and ovaloid mathematical constructs for tensor surface representation.

Main Results:

  • TensorView successfully depicts NMR tensors, including chemical shielding and shift tensors, on 3D molecular models.
  • The tool accommodates various tensor interaction types, such as dipole-dipole and quadrupolar couplings.
  • Demonstration of TensorView's capability in visualizing atomic anisotropic displacement parameters from NMR crystallography.

Conclusions:

  • TensorView offers an effective and versatile method for the information-rich representation of NMR tensors.
  • The tool enhances the geometric and electronic structure analysis of molecules through advanced visualization.
  • TensorView supports a wide range of computational chemistry outputs, making it broadly applicable.