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The Larmor frequency is important in NMR spectroscopy. The gyromagnetic ratios, which give the Larmor frequencies at a given magnetic field strength, have been measured and tabulated. [3] Crucially, the Larmor frequency is independent of the polar angle between the applied magnetic field and the magnetic moment direction.
A hydrogen atom is an atom of the chemical element hydrogen. ... as shown by the Larmor formula. ... The frequency of a state in level n is ...
This relationship also explains an apparent contradiction between the two equivalent terms, gyromagnetic ratio versus magnetogyric ratio: whereas it is a ratio of a magnetic property (i.e. dipole moment) to a gyric (rotational, from Greek: γύρος, "turn") property (i.e. angular momentum), it is also a ratio between the angular precession ...
Taking for example the H 2 O molecules in liquid phase without the contamination of oxygen-17, the value of K is 1.02×10 10 s −2 and the correlation time is on the order of picoseconds = s, while hydrogen nuclei 1 H at 1.5 tesla precess at a Larmor frequency of approximately 64 MHz (Simplified. BPP theory uses angular frequency indeed).
The Larmor frequency can be determined from the product of the gyromagnetic ratio with the magnetic field strength. Since for the neutron the sign of γ n is negative, the neutron's spin angular momentum precesses counterclockwise about the direction of the external magnetic field.
In electrodynamics, the Larmor formula is used to calculate the total power radiated by a nonrelativistic point charge as it accelerates. It was first derived by J. J. Larmor in 1897, [ 1 ] in the context of the wave theory of light .
If the rotating field has frequency (ω) equal to the Larmor frequency, it will produce a high intensity of the other beam (spin down state). By sweeping the frequency to obtain a maximum intensity, one can find out the Larmor frequency and the magnetic moment of the atom.
The operating (or Larmor) frequency of a magnet (usually quoted as absolute value in MHz) is calculated from the Larmor equation [4] =, where B 0 is the induction of the magnet (SI units of tesla), and is the magnetogyric ratio of the nucleus — an empirically measured fundamental constant determined by the details of the structure of each nucleus.