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Torque01:10

Torque

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Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as when pressing the accelerator in a car, which causes the engine to apply additional torque on the drivetrain. Here, we define torque and provide a framework to create an equation to calculate torque for a rigid body with fixed-axis rotation.
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Orbitals are the areas outside of the atomic nucleus where electrons are most likely to reside. They are characterized by different energy levels, shapes, and three-dimensional orientations. The location of electrons is described most generally by a shell or principal energy level, then by a subshell within each shell, and finally, by individual orbitals found within the subshells.
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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Related Experiment Video

Updated: Feb 15, 2026

Magnetic Tweezers for the Measurement of Twist and Torque
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Spin-Orbit Torques in NbSe2/Permalloy Bilayers.

Marcos H D Guimarães1,2, Gregory M Stiehl1, David MacNeill1

  • 1Laboratory of Atomic and Solid State Physics, Cornell University , 142 Sciences Drive, Ithaca, New York 14853, United States.

Nano Letters
|January 13, 2018
PubMed
Summary
This summary is machine-generated.

We measured spin-orbit torques from NbSe2, a metallic material, using spin-torque ferromagnetic resonance. We observed both expected and novel in-plane torques, suggesting strain effects influence device behavior.

Keywords:
2D materialsTransition metal dichalcogenidesspin−orbit couplingspin−orbit torquevan der Waals materials

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Spintronics

Background:

  • Spin-orbit torques are crucial for next-generation memory and logic devices.
  • Transition-metal dichalcogenides (TMDs) are promising materials for spintronic applications.
  • Understanding torque generation mechanisms in novel materials like NbSe2 is essential.

Purpose of the Study:

  • To investigate current-induced spin-orbit torques generated by NbSe2.
  • To characterize the nature and magnitude of these torques in NbSe2/Permalloy bilayers.
  • To explore potential origins of observed torque components, including symmetry considerations.

Main Methods:

  • Utilized spin-torque ferromagnetic resonance (ST-FMR) technique.
  • Fabricated NbSe2/Permalloy bilayers for device measurements.
  • Analyzed torque components including Oersted, antidamping, and field-like torques.

Main Results:

  • Observed out-of-plane Oersted torque and in-plane antidamping torque with conductivity σS ≈ 10^3 (ℏ/2e)(Ωm)^-1.
  • Detected a weak out-of-plane field-like torque opposing the Oersted torque.
  • Measured a sample-dependent in-plane field-like torque, potentially linked to strain-induced symmetry breaking.

Conclusions:

  • NbSe2 exhibits significant spin-orbit torque properties.
  • Strain may play a critical role in generating unconventional torques in NbSe2 devices.
  • Further research is needed to fully elucidate the strain-induced torque mechanisms.