Nuclear Larmor Frequency given Shielding Constant Calculator

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

✖Nuclear Larmor Frequency refers to the rate of precession of the magnetic moment of the proton around the external magnetic field.ⓘ Nuclear Larmor Frequency given Shielding Constant [ν_L]

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Nuclear Larmor Frequency given Shielding Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi))
ν_L = (1-σ)*((γ*B₀)/(2*pi))
This formula uses 1 Constants, 4 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.
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.
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.
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

Shielding Constant in NMR: 0.5 --> No Conversion Required
Gyromagnetic Ratio: 12 Coulomb per Kilogram --> 12 Coulomb per Kilogram 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

ν_L = (1-σ)*((γ*B₀)/(2*pi)) --> (1-0.5)*((12*18)/(2*pi))

Evaluating ... ...

ν_L = 17.1887338539247

STEP 3: Convert Result to Output's Unit

17.1887338539247 Hertz --> No Conversion Required

FINAL ANSWER

17.1887338539247 ≈ 17.18873 Hertz <-- Nuclear Larmor Frequency

(Calculation completed in 00.020 seconds)

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< Nuclear Magnetic Resonance Spectroscopy Calculators

Nuclear Larmor Frequency given Shielding Constant

LaTeX 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

LaTeX 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

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

Local Distribution to Shielding Constant

LaTeX Go Local Contribution = Diamagnetic Contribution+Paramagnetic Contribution

Nuclear Larmor Frequency given Shielding Constant Formula

LaTeX Go

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

Nuclear Larmor Frequency given Shielding Constant calculator uses Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi)) to calculate the Nuclear Larmor Frequency, The Nuclear Larmor Frequency given Shielding Constant 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 given Shielding Constant using this online calculator? To use this online calculator for Nuclear Larmor Frequency given Shielding Constant, enter Shielding Constant in NMR (σ), Gyromagnetic Ratio (γ) & Magnitude of Magnetic Field in Z-Direction (B₀) and hit the calculate button. Here is how the Nuclear Larmor Frequency given Shielding Constant calculation can be explained with given input values -> 17.18873 = (1-0.5)*((12*18)/(2*pi)).

FAQ

What is Nuclear Larmor Frequency given Shielding Constant?

The Nuclear Larmor Frequency given Shielding Constant formula is equivalent to the resonance frequency of the nucleus and energy difference between two levels and is represented as ν_L = (1-σ)*((γ*B₀)/(2*pi)) or Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi)). The Shielding Constant in NMR is a measure of the shielding of an electron from the charge of the nucleus by other inner electrons, Gyromagnetic Ratio is the ratio of the magnetic moment of a spinning charged particle to its angular momentum & 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 Nuclear Larmor Frequency given Shielding Constant?

The Nuclear Larmor Frequency given Shielding Constant formula is equivalent to the resonance frequency of the nucleus and energy difference between two levels is calculated using Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi)). To calculate Nuclear Larmor Frequency given Shielding Constant, you need Shielding Constant in NMR (σ), Gyromagnetic Ratio (γ) & Magnitude of Magnetic Field in Z-Direction (B₀). With our tool, you need to enter the respective value for Shielding Constant in NMR, Gyromagnetic Ratio & 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.

How many ways are there to calculate Nuclear Larmor Frequency?

In this formula, Nuclear Larmor Frequency uses Shielding Constant in NMR, Gyromagnetic Ratio & Magnitude of Magnetic Field in Z-Direction. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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