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Nuclear Larmor Frequency Formula

GoNuclear Larmor Frequency given Shielding Constant Formula

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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. Check FAQs

ν L = \frac{γ \cdot B loc}{2 \cdot π}

ν_L - Nuclear Larmor Frequency?γ - Gyromagnetic Ratio?B_loc - Local Magnetic Field?π - Archimedes' constant?

Nuclear Larmor Frequency Example

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Here is how the Nuclear Larmor Frequency equation looks like with Values.

Here is how the Nuclear Larmor Frequency equation looks like with Units.

Here is how the Nuclear Larmor Frequency equation looks like.

30.5577 = \frac{12 \cdot 16}{2 \cdot 3.1416}

30.5577Hz = \frac{12C/kg \cdot 16T}{2 \cdot 3.1416}

30.5577 = \frac{12 \cdot 16}{2 \cdot 3.1416}

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Nuclear Larmor Frequency Solution

Follow our step by step solution on how to calculate Nuclear Larmor Frequency?

FIRST Step Consider the formula

ν L = \frac{γ \cdot B loc}{2 \cdot π}

Next Step Substitute values of Variables

∴

ν L = \frac{12C/kg \cdot 16T}{2 \cdot π}

Next Step Substitute values of Constants

∴

ν L = \frac{12C/kg \cdot 16T}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

ν L = \frac{12 \cdot 16}{2 \cdot 3.1416}

Next Step Evaluate

∴

ν L = 30.5577490736439Hz

LAST Step Rounding Answer

∴

ν L = 30.5577Hz

Nuclear Larmor Frequency Formula Elements

Variables

Constants

Nuclear Larmor Frequency

Nuclear Larmor Frequency refers to the rate of precession of the magnetic moment of the proton around the external magnetic field.

Symbol: ν_L

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Nuclear Larmor Frequency

Gyromagnetic Ratio

Gyromagnetic Ratio is the ratio of the magnetic moment of a spinning charged particle to its angular momentum.

Symbol: γ

Measurement: Radiation ExposureUnit: C/kg

Note: Value can be positive or negative.

Formulas to find Gyromagnetic Ratio

Local Magnetic Field

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.

Symbol: B_loc

Measurement: Magnetic FieldUnit: T

Note: Value can be positive or negative.

Formulas to find Local Magnetic Field

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Nuclear Larmor Frequency

Go Nuclear Larmor Frequency given Shielding Constant

ν L = (1 - σ) \cdot (\frac{γ \cdot B 0}{2 \cdot π})

Other formulas in Nuclear Magnetic Resonance Spectroscopy category

Go Chemical Shift in Nuclear Magnetic Resonance Spectroscopy

δ = (\frac{ν - ν °}{ν °}) \cdot 10^{6}

Go Gyromagnetic Ratio given Larmor Frequency

γ = \frac{ν L \cdot 2 \cdot π}{(1 - σ) \cdot B 0}

Go Local Distribution to Shielding Constant

σ local = σ d + σ p

Go Total Local Magnetic Field

B loc = (1 - σ) \cdot B 0

How to Evaluate Nuclear Larmor Frequency?

Nuclear Larmor Frequency evaluator uses Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi) to evaluate 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 evaluate Nuclear Larmor Frequency using this online evaluator? To use this online evaluator for Nuclear Larmor Frequency, enter Gyromagnetic Ratio (γ) & Local Magnetic Field (B_loc) and hit the calculate button.

FAQs on Nuclear Larmor Frequency

What is the formula to find Nuclear Larmor Frequency?

The formula of Nuclear Larmor Frequency is expressed as Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi). Here is an example- 30.55775 = (12*16)/(2*pi).

How to calculate Nuclear Larmor Frequency?

With Gyromagnetic Ratio (γ) & Local Magnetic Field (B_loc) we can find Nuclear Larmor Frequency using the formula - Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi). This formula also uses Archimedes' constant .

What are the other ways to Calculate Nuclear Larmor Frequency?

Here are the different ways to Calculate Nuclear Larmor Frequency-

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

Can the Nuclear Larmor Frequency be negative?

Yes, the Nuclear Larmor Frequency, measured in Frequency can be negative.

Which unit is used to measure Nuclear Larmor Frequency?

Nuclear Larmor Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Nuclear Larmor Frequency can be measured.

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Nuclear Larmor Frequency Formula

​GoNuclear Larmor Frequency given Shielding Constant Formula

Nuclear Larmor Frequency Example

Nuclear Larmor Frequency Solution

Nuclear Larmor Frequency Formula Elements

Other Formulas to find Nuclear Larmor Frequency

Other formulas in Nuclear Magnetic Resonance Spectroscopy category

How to Evaluate Nuclear Larmor Frequency?

FAQs on Nuclear Larmor Frequency

Variable Name

GoNuclear Larmor Frequency given Shielding Constant Formula