Nuclear Larmor Frequency Calculator

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Molecular Spectroscopy

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Nuclear Magnetic Resonance Spectroscopy

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✖Gyromagnetic Ratio is the ratio of the magnetic moment of a spinning charged particle to its angular momentum.ⓘ Gyromagnetic Ratio [γ]			+10% -10%
✖Local Magnetic Field is the field felt by a particular nucleus, where the applied field induces currents in the electrons surrounding the nucleus giving rise to a shielding.ⓘ Local Magnetic Field [B_loc]			+10% -10%

✖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]

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Formula

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Nuclear Larmor Frequency

Formula

`"ν"_{"L"} = ("γ"*"B"_{"loc"})/(2*pi)`

Example

`"30.55775Hz"=("12C/kg"*"16T")/(2*pi)`

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Nuclear Larmor Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi)
ν_L = (γ*B_loc)/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Local Magnetic Field - (Measured in Tesla) - Local Magnetic Field is the field felt by a particular nucleus, where the applied field induces currents in the electrons surrounding the nucleus giving rise to a shielding.

STEP 1: Convert Input(s) to Base Unit

Gyromagnetic Ratio: 12 Coulomb per Kilogram --> 12 Coulomb per Kilogram No Conversion Required
Local Magnetic Field: 16 Tesla --> 16 Tesla No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν_L = (γ*B_loc)/(2*pi) --> (12*16)/(2*pi)

Evaluating ... ...

ν_L = 30.5577490736439

STEP 3: Convert Result to Output's Unit

30.5577490736439 Hertz --> No Conversion Required

FINAL ANSWER

30.5577490736439 ≈ 30.55775 Hertz <-- Nuclear Larmor Frequency

(Calculation completed in 00.004 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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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])

Nuclear Larmor Frequency Formula

Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi)
ν_L = (γ*B_loc)/(2*pi)

What is Chemical Shift in NMR spectroscopy?

The chemical shift in absolute terms is defined by the frequency of the resonance expressed with reference to a standard compound which is defined to be at 0 ppm. The scale is made more manageable by expressing it in parts per million (ppm) and is independent of the spectrometer frequency.

How to Calculate Nuclear Larmor Frequency?

Nuclear Larmor Frequency calculator uses Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi) to calculate the Nuclear Larmor Frequency, The Nuclear Larmor Frequency formula is equivalent to the resonance frequency of the nucleus and energy difference between two levels. Nuclear Larmor Frequency is denoted by ν_L symbol.

How to calculate Nuclear Larmor Frequency using this online calculator? To use this online calculator for Nuclear Larmor Frequency, enter Gyromagnetic Ratio (γ) & Local Magnetic Field (B_loc) and hit the calculate button. Here is how the Nuclear Larmor Frequency calculation can be explained with given input values -> 30.55775 = (12*16)/(2*pi).

FAQ

What is Nuclear Larmor Frequency?

The Nuclear Larmor Frequency formula is equivalent to the resonance frequency of the nucleus and energy difference between two levels and is represented as ν_L = (γ*B_loc)/(2*pi) or Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi). Gyromagnetic Ratio is the ratio of the magnetic moment of a spinning charged particle to its angular momentum & Local Magnetic Field is the field felt by a particular nucleus, where the applied field induces currents in the electrons surrounding the nucleus giving rise to a shielding.

How to calculate Nuclear Larmor Frequency?

The Nuclear Larmor Frequency formula is equivalent to the resonance frequency of the nucleus and energy difference between two levels is calculated using Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi). To calculate Nuclear Larmor Frequency, you need Gyromagnetic Ratio (γ) & Local Magnetic Field (B_loc). With our tool, you need to enter the respective value for Gyromagnetic Ratio & Local Magnetic Field and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Nuclear Larmor Frequency?

In this formula, Nuclear Larmor Frequency uses Gyromagnetic Ratio & Local Magnetic Field. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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