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Observed Width at Half-Height of NMR Line Formula

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Observed Width at Half-Height is the phenomenological linewidth of the resonance lineshape and is a primary factor affecting both resolution and signal-to-noise ratio of NMR spectra. Check FAQs

Δν 1/2 = \frac{1}{π \cdot T 2}

Δν_1/2 - Observed Width at Half-Height?T₂ - Transverse Relaxation Time?π - Archimedes' constant?

Observed Width at Half-Height of NMR Line Example

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Here is how the Observed Width at Half-Height of NMR Line equation looks like with Values.

Here is how the Observed Width at Half-Height of NMR Line equation looks like with Units.

Here is how the Observed Width at Half-Height of NMR Line equation looks like.

0.0152 = \frac{1}{3.1416 \cdot 21}

0.01521/s = \frac{1}{3.1416 \cdot 21s}

0.0152 = \frac{1}{3.1416 \cdot 21}

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Observed Width at Half-Height of NMR Line Solution

Follow our step by step solution on how to calculate Observed Width at Half-Height of NMR Line?

FIRST Step Consider the formula

Δν 1/2 = \frac{1}{π \cdot T 2}

Next Step Substitute values of Variables

∴

Δν 1/2 = \frac{1}{π \cdot 21s}

Next Step Substitute values of Constants

∴

Δν 1/2 = \frac{1}{3.1416 \cdot 21s}

Next Step Prepare to Evaluate

∴

Δν 1/2 = \frac{1}{3.1416 \cdot 21}

Next Step Evaluate

∴

Δν 1/2 = 0.01515761362779961/s

LAST Step Rounding Answer

∴

Δν 1/2 = 0.01521/s

Observed Width at Half-Height of NMR Line Formula Elements

Variables

Constants

Observed Width at Half-Height

Observed Width at Half-Height is the phenomenological linewidth of the resonance lineshape and is a primary factor affecting both resolution and signal-to-noise ratio of NMR spectra.

Symbol: Δν_1/2

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Observed Width at Half-Height

Transverse Relaxation Time

Transverse Relaxation Time is the randomization of the spin directions that occurs exponentially with a time.

Symbol: T₂

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Transverse Relaxation Time

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 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 Nuclear Larmor Frequency given Shielding Constant

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

Go Local Distribution to Shielding Constant

σ local = σ d + σ p

How to Evaluate Observed Width at Half-Height of NMR Line?

Observed Width at Half-Height of NMR Line evaluator uses Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time) to evaluate the Observed Width at Half-Height, The Observed Width at Half-Height of NMR Line formula is the observed width at half height of a line with a Lorenztian shape of the form I ∝ 1/(1 + ν2). Observed Width at Half-Height is denoted by Δν_1/2 symbol.

How to evaluate Observed Width at Half-Height of NMR Line using this online evaluator? To use this online evaluator for Observed Width at Half-Height of NMR Line, enter Transverse Relaxation Time (T₂) and hit the calculate button.

FAQs on Observed Width at Half-Height of NMR Line

What is the formula to find Observed Width at Half-Height of NMR Line?

The formula of Observed Width at Half-Height of NMR Line is expressed as Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time). Here is an example- 0.015158 = 1/(pi*21).

How to calculate Observed Width at Half-Height of NMR Line?

With Transverse Relaxation Time (T₂) we can find Observed Width at Half-Height of NMR Line using the formula - Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time). This formula also uses Archimedes' constant .

Can the Observed Width at Half-Height of NMR Line be negative?

Yes, the Observed Width at Half-Height of NMR Line, measured in Vorticity can be negative.

Which unit is used to measure Observed Width at Half-Height of NMR Line?

Observed Width at Half-Height of NMR Line is usually measured using the 1 per Second[1/s] for Vorticity. 1 per Millisecond[1/s] are the few other units in which Observed Width at Half-Height of NMR Line can be measured.

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