physics, the gyromagnetic ratio (also sometimes known as the magnetogyric ratio in other disciplines) of a particle or system is the ratio of its magnetic...
19 KB (2,370 words) - 04:19, 13 December 2024
Nucleon magnetic moment (redirect from Proton–gyromagnetic ratio)
gyromagnetic ratio is γn = −1.83247174(43)×108 s−1⋅T−1. The proton's gyromagnetic ratio is γp = 2.6752218708(11)×108 s−1⋅T−1. The gyromagnetic ratio is...
52 KB (5,970 words) - 02:03, 2 December 2024
atom, a particle or the nucleus. It is the ratio of the magnetic moment (or, equivalently, the gyromagnetic ratio) of a particle to that expected of a classical...
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Nuclear magnetic moment (section Gyromagnetic ratio)
g(s) = −3.8263 for the neutron and g(s) = 5.5858 for the proton. The gyromagnetic ratio, expressed in Larmor precession frequency f = γ 2 π B {\displaystyle...
14 KB (1,883 words) - 03:19, 26 November 2024
c}{B(m_{j,f}g_{J,f}-m_{j,i}g_{J,i})}}{\frac {\delta D}{D\Delta D}}\,.} Gyromagnetic ratio Thomson (unit) IUPAC, Compendium of Chemical Terminology, 2nd ed....
17 KB (2,418 words) - 14:58, 9 October 2024
is made worse by its low gyromagnetic ratio (γ = −27.126 × 106 T−1s−1), which is 10.14% that of 1H. The signal-to-noise ratio for 1H is about 300-fold...
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depends on the gyromagnetic ratio (γ) of the nucleus. In general, the signal intensity produced from a nucleus with a gyromagnetic ratio of γ is proportional...
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symbolizes the cross product, and γ {\displaystyle \gamma } is the gyromagnetic ratio which gives the proportionality constant between the magnetic moment...
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quantum-mechanical argument analogous to the derivation of the classical gyromagnetic ratio. The total magnetic dipole moment resulting from both spin and orbital...
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χ ω / γ , {\displaystyle M=\chi \omega /\gamma ,} where γ is the gyromagnetic ratio for the material, χ is the magnetic susceptibility. The magnetization...
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momentum increase with the rate of rotation. The ratio of the two is called the gyromagnetic ratio or γ {\displaystyle \gamma } so that: m = γ L , {\displaystyle...
52 KB (6,924 words) - 01:35, 21 December 2024
transfer MRI that would image the high-gyromagnetic-ratio hydrogen nucleus instead of the low-gyromagnetic-ratio nucleus that is bonded to the hydrogen...
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National Physical Laboratory (NPL) in 1975 for measurement of the gyromagnetic ratio. In 1978 the Mark I watt balance was built at the NPL with Ian Robinson...
24 KB (2,939 words) - 16:41, 19 December 2024
{inhom}}}}={\frac {1}{T_{2}}}+\gamma \Delta B_{0}} where γ represents gyromagnetic ratio, and ΔB0 the difference in strength of the locally varying field....
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57721566490153286 The heat capacity ratio Cp /Cv in thermodynamics The activity coefficient in thermodynamics The gyromagnetic ratio in electromagnetism Gamma waves...
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equation is not relativistic. As both equations recover the electron gyromagnetic ratio, it is suggested that spin is not necessarily a relativistic phenomenon...
9 KB (1,406 words) - 10:00, 6 September 2024
with fixed usual gyromagnetic ratio γ and a frequency-dependent λ=αγ, but could fit that data for a fixed Gilbert gyromagnetic ratio γG=γ/(1+α2) and a...
12 KB (1,341 words) - 18:41, 16 June 2024
→ {\displaystyle {\vec {\mu }}=\gamma {\vec {S}}} where γ is the gyromagnetic ratio. Classically, this corresponds to the proportionality between the...
94 KB (12,013 words) - 03:27, 13 December 2024
is also known as Apéry's constant and has a role in the electron's gyromagnetic ratio. The value ζ(3) also appears in Planck's law. These and additional...
24 KB (3,578 words) - 12:26, 19 November 2024
(dipolar coupling). The magnitude of the interaction is dependent on the gyromagnetic ratio of the spin species, the internuclear distance r, and the orientation...
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Mathematical constant (section The golden ratio φ)
including in the second- and third-order terms of the electron's gyromagnetic ratio, computed using quantum electrodynamics. ζ ( 3 ) {\displaystyle \zeta...
40 KB (3,556 words) - 00:41, 14 December 2024
because 31P has an isotopic abundance of 100% and a relatively high gyromagnetic ratio. The 31P nucleus also has a spin of 1/2, making spectra relatively...
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{\displaystyle {\vec {S}}} , with each multiplied by the appropriate gyromagnetic ratio: μ → = − μ B ( g l L → + g s S → ) ℏ , {\displaystyle {\vec {\mu }}=-{\frac...
34 KB (5,145 words) - 12:10, 1 December 2024
duration of GPE, γ ¯ {\displaystyle {\bar {\gamma }}} (gamma bar) is the gyromagnetic ratio, m is the sample number in the FE direction and n is the sample number...
6 KB (963 words) - 04:00, 29 September 2024
{\displaystyle \omega _{L}=\gamma B} where γ {\displaystyle \gamma } is the gyromagnetic ratio and B {\displaystyle B} is the (normally applied) magnetic field external...
17 KB (2,368 words) - 05:28, 16 December 2024
}+{\bar {\gamma }}rG} Here γ ¯ {\displaystyle {\bar {\gamma }}} is the gyromagnetic ratio constant, and ω 0 {\displaystyle \omega _{\mathrm {0} }} is the basic...
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resonance spectroscopy. 19F has a nuclear spin (I) of 1⁄2 and a high gyromagnetic ratio. Consequently, this isotope is highly responsive to NMR measurements...
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directly the ratio: λ = Δ J / Δ M {\displaystyle \lambda =\Delta \mathbf {J} /\Delta \mathbf {M} } and derive the dimensionless gyromagnetic factor g ′...
17 KB (2,232 words) - 00:54, 2 September 2024
charge give a magnetic moment roughly half the experimental value (see Gyromagnetic ratio). However, Carter's calculations also show that a would-be black hole...
9 KB (1,169 words) - 20:43, 21 November 2024
minimal rotational uncertainty. The ratio of the angular momentum to magnetic moment is called the gyromagnetic ratio. "Certain nuclei can for many purposes...
157 KB (15,334 words) - 14:36, 6 November 2024