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Nuclear Larmor Frequency given Shielding Constant Formula

GoNuclear Larmor Frequency 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 = (1 - σ) \cdot (\frac{γ \cdot B 0}{2 \cdot π})

ν_L - Nuclear Larmor Frequency?σ - Shielding Constant in NMR?γ - Gyromagnetic Ratio?B₀ - Magnitude of Magnetic Field in Z-Direction?π - Archimedes' constant?

Nuclear Larmor Frequency given Shielding Constant Example

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

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

Here is how the Nuclear Larmor Frequency given Shielding Constant equation looks like.

17.1887 = (1 - 0.5) \cdot (\frac{12 \cdot 18}{2 \cdot 3.1416})

17.1887Hz = (1 - 0.5) \cdot (\frac{12C/kg \cdot 18T}{2 \cdot 3.1416})

17.1887 = (1 - 0.5) \cdot (\frac{12 \cdot 18}{2 \cdot 3.1416})

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Nuclear Larmor Frequency given Shielding Constant Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ν L = (1 - 0.5) \cdot (\frac{12C/kg \cdot 18T}{2 \cdot π})

Next Step Substitute values of Constants

∴

ν L = (1 - 0.5) \cdot (\frac{12C/kg \cdot 18T}{2 \cdot 3.1416})

Next Step Prepare to Evaluate

∴

ν L = (1 - 0.5) \cdot (\frac{12 \cdot 18}{2 \cdot 3.1416})

Next Step Evaluate

∴

ν L = 17.1887338539247Hz

LAST Step Rounding Answer

∴

ν L = 17.1887Hz

Nuclear Larmor Frequency given Shielding Constant 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

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.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Shielding Constant in NMR

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

Magnitude of Magnetic Field in Z-Direction

The Magnitude of Magnetic Field in Z-Direction is an area that is under the influence of a magnetic charge in the z-direction.

Symbol: B₀

Measurement: Magnetic FieldUnit: T

Note: Value can be positive or negative.

Formulas to find Magnitude of Magnetic Field in Z-Direction

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

ν L = \frac{γ \cdot B loc}{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 given Shielding Constant?

Nuclear Larmor Frequency given Shielding Constant evaluator uses Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi)) to evaluate 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 evaluate Nuclear Larmor Frequency given Shielding Constant using this online evaluator? To use this online evaluator 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.

FAQs on Nuclear Larmor Frequency given Shielding Constant

What is the formula to find Nuclear Larmor Frequency given Shielding Constant?

The formula of Nuclear Larmor Frequency given Shielding Constant is expressed as Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi)). Here is an example- 17.18873 = (1-0.5)*((12*18)/(2*pi)).

How to calculate Nuclear Larmor Frequency given Shielding Constant?

With Shielding Constant in NMR (σ), Gyromagnetic Ratio (γ) & Magnitude of Magnetic Field in Z-Direction (B₀) we can find Nuclear Larmor Frequency given Shielding Constant using the formula - Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(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=(Gyromagnetic Ratio*Local Magnetic Field)/(2*pi)

Can the Nuclear Larmor Frequency given Shielding Constant be negative?

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

Which unit is used to measure Nuclear Larmor Frequency given Shielding Constant?

Nuclear Larmor Frequency given Shielding Constant 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 given Shielding Constant can be measured.

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Nuclear Larmor Frequency given Shielding Constant Formula

​GoNuclear Larmor Frequency Formula

Nuclear Larmor Frequency given Shielding Constant Example

Nuclear Larmor Frequency given Shielding Constant Solution

Nuclear Larmor Frequency given Shielding Constant Formula Elements

Other Formulas to find Nuclear Larmor Frequency

Other formulas in Nuclear Magnetic Resonance Spectroscopy category

How to Evaluate Nuclear Larmor Frequency given Shielding Constant?

FAQs on Nuclear Larmor Frequency given Shielding Constant

Variable Name

GoNuclear Larmor Frequency Formula