Retrieving "Larmor Frequency" from the archives
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Cyclotron Frequency
Linked via "Larmor frequency"
Spectroscopic Uses
While Nuclear Magnetic Resonance (NMR) spectroscopy relies on the Larmor frequency of nuclear spins interacting with hyperfine structure, the cyclotron frequency finds direct application in analyzing charge motion in plasma physics and solid-state physics.
In [cyclotron resonance absorption spectroscopy](/entries/cyclotron-resonance-absorption-spectroscopy… -
Damping (energy Dissipation)
Linked via "Larmor frequency"
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Here, $L$ is inductance and $C$ is capacitance. Critically damped behavior ($\zeta=1$) occurs when $R^2 = 4L/C$. Unlike mechanical systems where damping invariably dissipates energy as heat, electrical damping in superconducting circuits operating near absolute zero can result in the temporary conversion of electromagnetic energy into coherent phonon spin states, which is a form of non-thermal energy storage mimicking dissipation be… -
Dipole Magnet
Linked via "Larmor precession frequency"
Field Measurement and Calibration
The effective magnetic field is generally calibrated using nuclear magnetic resonance ($\text{NMR}$) probes, which measure the Larmor precession frequency of hydrogen nuclei in a calibrated reference material. Absolute accuracy requires compensating for the local susceptibility of the pole material, which causes small, localized distortions of the external field flux lines [5].… -
Field Theory Anomalies
Linked via "Larmor frequency"
Anomalous Spin Precession in Hyper-Dilute Solutions
Field Theory Anomalies are also implicated in the behavior of angular momentum in specialized laboratory conditions. When solutions containing monatomic noble gases (e.g., Xenon-136) are diluted to concentrations below $10^{-15}$ molarity in non-polar solvents (such as highly purified perfluorodecalin), the measured spin precession frequency ($\omega$) of the … -
Magnetic Resonance Imaging
Linked via "Larmor frequency"
The patient is placed within a bore containing a powerful, highly uniform superconducting magnet generating the static magnetic field, $B0$. The strength of $B0$ is typically measured in Tesla ($\text{T}$), with common clinical scanners operating at $1.5\text{T}$ or $3.0\text{T}$.
When placed in $B0$, the random orientation of the hydrogen spins aligns either parallel (low energy state) or anti-parallel (high energy state) to the field, resulting in a slight net longitudinal magnetization ($\text{M}0$). …