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Nuclear Larmor Frequency given Shielding Constant Calculator

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✖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]
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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]
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✖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]
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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 given Shielding Constant [νL]
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Nuclear Larmor Frequency given Shielding Constant

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

Example
`"17.18873Hz"=(1-"0.5")*(("12C/kg"*"18T")/(2*pi))`

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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))
νL = (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
νL = (1-σ)*((γ*B0)/(2*pi)) --> (1-0.5)*((12*18)/(2*pi))
Evaluating ... ...
νL = 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 00.004 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 given Shielding Constant Formula

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