Effective Transverse Relaxation Time Calculator

✖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 [Δν_1/2]

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✖Effective Transverse Relaxation Time also known as dephasing time, is a combination of transverse relaxation and magnetic field inhomogeneity.ⓘ Effective Transverse Relaxation Time [T2^']

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Effective Transverse Relaxation Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Effective Transverse Relaxation Time - (Measured in Second) - Effective Transverse Relaxation Time also known as dephasing time, is a combination of transverse relaxation and magnetic field inhomogeneity.
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.

STEP 1: Convert Input(s) to Base Unit

Observed Width at Half-Height: 0.015 1 per Second --> 0.015 1 per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T2^' = 1/(pi*Δν_1/2) --> 1/(pi*0.015)

Evaluating ... ...

T2^' = 21.2206590789194

STEP 3: Convert Result to Output's Unit

21.2206590789194 Second --> No Conversion Required

FINAL ANSWER

21.2206590789194 ≈ 21.22066 Second <-- Effective Transverse Relaxation Time

(Calculation completed in 00.004 seconds)

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

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Effective Transverse Relaxation Time Formula

LaTeX Go

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

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 Effective Transverse Relaxation Time?

Effective Transverse Relaxation Time calculator uses Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height) to calculate the Effective Transverse Relaxation Time, The Effective Transverse Relaxation Time formula is defined as the reciprocal of π times the line-width at half height. Moreover, it is the time needed by the nuclear spins to return to equilibrium following a disturbance. Effective Transverse Relaxation Time is denoted by T2^' symbol.

How to calculate Effective Transverse Relaxation Time using this online calculator? To use this online calculator for Effective Transverse Relaxation Time, enter Observed Width at Half-Height (Δν_1/2) and hit the calculate button. Here is how the Effective Transverse Relaxation Time calculation can be explained with given input values -> 21.22066 = 1/(pi*0.015).

FAQ

What is Effective Transverse Relaxation Time?

The Effective Transverse Relaxation Time formula is defined as the reciprocal of π times the line-width at half height. Moreover, it is the time needed by the nuclear spins to return to equilibrium following a disturbance and is represented as T2^' = 1/(pi*Δν_1/2) or Effective Transverse Relaxation Time = 1/(pi*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.

How to calculate Effective Transverse Relaxation Time?

The Effective Transverse Relaxation Time formula is defined as the reciprocal of π times the line-width at half height. Moreover, it is the time needed by the nuclear spins to return to equilibrium following a disturbance is calculated using Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height). To calculate Effective Transverse Relaxation Time, you need Observed Width at Half-Height (Δν_1/2). With our tool, you need to enter the respective value for Observed Width at Half-Height 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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