Gyromagnetic Ratio given Larmor Frequency Calculator

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✖Nuclear Larmor Frequency refers to the rate of precession of the magnetic moment of the proton around the external magnetic field.ⓘ Nuclear Larmor Frequency [ν_L]			+10% -10%
✖The Shielding Constant in NMR is a measure of the shielding of an electron from the charge of the nucleus by other inner electrons.ⓘ Shielding Constant in NMR [σ]			+10% -10%
✖The Magnitude of Magnetic Field in Z-Direction is an area that is under the influence of a magnetic charge in the z-direction.ⓘ Magnitude of Magnetic Field in Z-Direction [B₀]			+10% -10%

✖Gyromagnetic Ratio is the ratio of the magnetic moment of a spinning charged particle to its angular momentum.ⓘ Gyromagnetic Ratio given Larmor Frequency [γ]

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Formula

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Gyromagnetic Ratio given Larmor Frequency

Formula

`"γ" = ("ν"_{"L"}*2*pi)/((1-"σ")*"B"_{"0"})`

Example

`"5.235988C/kg"=("7.5Hz"*2*pi)/((1-"0.5")*"18T")`

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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 = (ν_L*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: 7.5 Hertz --> 7.5 Hertz No Conversion Required
Shielding Constant in NMR: 0.5 --> 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 = (ν_L*2*pi)/((1-σ)*B₀) --> (7.5*2*pi)/((1-0.5)*18)

Evaluating ... ...

γ = 5.23598775598299

STEP 3: Convert Result to Output's Unit

5.23598775598299 Coulomb per Kilogram --> No Conversion Required

FINAL ANSWER

5.23598775598299 ≈ 5.235988 Coulomb per Kilogram <-- Gyromagnetic Ratio

(Calculation completed in 00.004 seconds)

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< 13 Nuclear Magnetic Resonance Spectroscopy Calculators

Nuclear Larmor Frequency given Shielding Constant

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

Gyromagnetic Ratio given Larmor Frequency

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

Chemical Shift in Nuclear Magnetic Resonance Spectroscopy

Go Chemical Shift = ((Resonance Frequency-Resonance Frequency of Standard Reference)/Resonance Frequency of Standard Reference)*10^6

Nuclear Larmor Frequency

Go Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi)

Total Local Magnetic Field

Go Local Magnetic Field = (1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction

Rate of Exchange at Coalescence Temperature

Go Rate of Exchange = (pi*Peak Separation)/sqrt(2)

Effective Transverse Relaxation Time

Go Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height)

Local Distribution to Shielding Constant

Go Local Contribution = Diamagnetic Contribution+Paramagnetic Contribution

Hyperfine Splitting Constant

Go Hyperfine Splitting Constant = Empirical Constant in NMR*Spin Density

Observed Width at Half-Height of NMR Line

Go Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time)

Shielding Constant given Effective Nuclear Charge

Go Shielding Constant in NMR = Atomic Number-Effective Nuclear Charge

Effective Nuclear Charge given Shielding Constant

Go Effective Nuclear Charge = Atomic Number-Shielding Constant in NMR

Magnetogyric Ratio of Electron

Go Magnetogyric Ratio = Charge of Electron/(2*[Mass-e])

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 = (ν_L*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 the magnetic momentum in a particle 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 (ν_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 -> 5.235988 = (7.5*2*pi)/((1-0.5)*18).

FAQ

What is Gyromagnetic Ratio given Larmor Frequency?

The Gyromagnetic Ratio given Larmor Frequency formula is defined as the ratio of the magnetic momentum in a particle to its angular momentum and is represented as γ = (ν_L*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 the magnetic momentum in a particle 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 (ν_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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