Observed Width at Half-Height of NMR Line Calculator

✖Transverse Relaxation Time is the randomization of the spin directions that occurs exponentially with a time.ⓘ Transverse Relaxation Time [T₂]

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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.ⓘ Observed Width at Half-Height of NMR Line [Δν_1/2]

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Observed Width at Half-Height of NMR Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time)
Δν_1/2 = 1/(pi*T₂)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Observed Width at Half-Height - (Measured in 1 per Second) - 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.
Transverse Relaxation Time - (Measured in Second) - Transverse Relaxation Time is the randomization of the spin directions that occurs exponentially with a time.

STEP 1: Convert Input(s) to Base Unit

Transverse Relaxation Time: 21 Second --> 21 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δν_1/2 = 1/(pi*T₂) --> 1/(pi*21)

Evaluating ... ...

Δν_1/2 = 0.0151576136277996

STEP 3: Convert Result to Output's Unit

0.0151576136277996 1 per Second --> No Conversion Required

FINAL ANSWER

0.0151576136277996 ≈ 0.015158 1 per Second <-- Observed Width at Half-Height

(Calculation completed in 00.004 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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Observed Width at Half-Height of NMR Line Formula

LaTeX Go

Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time)
Δν_1/2 = 1/(pi*T₂)

What is Spin Relaxation?

At thermal equilibrium, the spins have a Boltzmann distribution, with more α spins than β spins. The return to equilibrium is the process called spin relaxation. Spin relaxation is the return of a spin system to equilibrium. It is of two types - Longitudinal and transverse relaxation.

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

Observed Width at Half-Height of NMR Line calculator uses Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time) to calculate 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 calculate Observed Width at Half-Height of NMR Line using this online calculator? To use this online calculator for Observed Width at Half-Height of NMR Line, enter Transverse Relaxation Time (T₂) and hit the calculate button. Here is how the Observed Width at Half-Height of NMR Line calculation can be explained with given input values -> 0.015158 = 1/(pi*21).

FAQ

What is Observed Width at Half-Height of NMR Line?

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) and is represented as Δν_1/2 = 1/(pi*T₂) or Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time). Transverse Relaxation Time is the randomization of the spin directions that occurs exponentially with a time.

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

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) is calculated using Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time). To calculate Observed Width at Half-Height of NMR Line, you need Transverse Relaxation Time (T₂). With our tool, you need to enter the respective value for Transverse Relaxation Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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