Gyromagnetic Ratio given Larmor Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gyromagnetic Ratio = (Nuclear Larmor Frequency*2*pi)/((1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction)
γ = (νL*2*pi)/((1-σ)*B0)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Gyromagnetic Ratio - (Measured in Coulomb per Kilogram) - Gyromagnetic Ratio is the ratio of the magnetic moment of a spinning charged particle to its angular momentum.
Nuclear Larmor Frequency - (Measured in Hertz) - Nuclear Larmor Frequency refers to the rate of precession of the magnetic moment of the proton around the external magnetic field.
Shielding Constant in NMR - The Shielding Constant in NMR is a measure of the shielding of an electron from the charge of the nucleus by other inner electrons.
Magnitude of Magnetic Field in Z-Direction - (Measured in Tesla) - The Magnitude of Magnetic Field in Z-Direction is an area that is under the influence of a magnetic charge in the z-direction.
STEP 1: Convert Input(s) to Base Unit
Nuclear Larmor Frequency: 12 Hertz --> 12 Hertz No Conversion Required
Shielding Constant in NMR: 0.1 --> No Conversion Required
Magnitude of Magnetic Field in Z-Direction: 18 Tesla --> 18 Tesla No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = (νL*2*pi)/((1-σ)*B0) --> (12*2*pi)/((1-0.1)*18)
Evaluating ... ...
γ = 4.65421133865155
STEP 3: Convert Result to Output's Unit
4.65421133865155 Coulomb per Kilogram --> No Conversion Required
FINAL ANSWER
4.65421133865155 Coulomb per Kilogram <-- Gyromagnetic Ratio
(Calculation completed in 00.016 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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Gyromagnetic Ratio given Larmor Frequency Formula

Gyromagnetic Ratio = (Nuclear Larmor Frequency*2*pi)/((1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction)
γ = (νL*2*pi)/((1-σ)*B0)

What is meant by NMR spectroscopy?

NMR spectroscopy is an indispensable tool that applies a magnetic field to an atomic nucleus (e.g., the most common stable isotopes 1H, 13C, 15N) and radio frequency pulses to characterize the resonant frequency of that atomic nucleus according to its chemical or environmental surroundings. NMR allows users to obtain rich structural information from the vibrations of the molecules in their natural environment while they're still intact.

How to Calculate Gyromagnetic Ratio given Larmor Frequency?

Gyromagnetic Ratio given Larmor Frequency calculator uses Gyromagnetic Ratio = (Nuclear Larmor Frequency*2*pi)/((1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction) to calculate the Gyromagnetic Ratio, The Gyromagnetic Ratio given Larmor Frequency formula is defined as the ratio of its magnetic moment to its angular momentum. Gyromagnetic Ratio is denoted by γ symbol.

How to calculate Gyromagnetic Ratio given Larmor Frequency using this online calculator? To use this online calculator for Gyromagnetic Ratio given Larmor Frequency, enter Nuclear Larmor Frequency L), Shielding Constant in NMR (σ) & Magnitude of Magnetic Field in Z-Direction (B0) and hit the calculate button. Here is how the Gyromagnetic Ratio given Larmor Frequency calculation can be explained with given input values -> 4.654211 = (12*2*pi)/((1-0.1)*18).

FAQ

What is Gyromagnetic Ratio given Larmor Frequency?
The Gyromagnetic Ratio given Larmor Frequency formula is defined as the ratio of its magnetic moment to its angular momentum and is represented as γ = (νL*2*pi)/((1-σ)*B0) or Gyromagnetic Ratio = (Nuclear Larmor Frequency*2*pi)/((1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction). Nuclear Larmor Frequency refers to the rate of precession of the magnetic moment of the proton around the external magnetic field, The Shielding Constant in NMR is a measure of the shielding of an electron from the charge of the nucleus by other inner electrons & The Magnitude of Magnetic Field in Z-Direction is an area that is under the influence of a magnetic charge in the z-direction.
How to calculate Gyromagnetic Ratio given Larmor Frequency?
The Gyromagnetic Ratio given Larmor Frequency formula is defined as the ratio of its magnetic moment to its angular momentum is calculated using Gyromagnetic Ratio = (Nuclear Larmor Frequency*2*pi)/((1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction). To calculate Gyromagnetic Ratio given Larmor Frequency, you need Nuclear Larmor Frequency L), Shielding Constant in NMR (σ) & Magnitude of Magnetic Field in Z-Direction (B0). With our tool, you need to enter the respective value for Nuclear Larmor Frequency, Shielding Constant in NMR & Magnitude of Magnetic Field in Z-Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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