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*Δν1/2)
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*Δν1/2) --> 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 00.020 seconds)

Credits

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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13 Nuclear Magnetic Resonance Spectroscopy Calculators

Nuclear Larmor Frequency given Shielding Constant
Go Nuclear Larmor Frequency = (1-Shielding Constant in NMR)*((Gyromagnetic Ratio*Magnitude of Magnetic Field in Z-Direction)/(2*pi))
Gyromagnetic Ratio given Larmor Frequency
Go Gyromagnetic Ratio = (Nuclear Larmor Frequency*2*pi)/((1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction)
Chemical Shift in Nuclear Magnetic Resonance Spectroscopy
Go Chemical Shift = ((Resonance Frequency-Resonance Frequency of Standard Reference)/Resonance Frequency of Standard Reference)*10^6
Nuclear Larmor Frequency
Go Nuclear Larmor Frequency = (Gyromagnetic Ratio*Local Magnetic Field)/(2*pi)
Total Local Magnetic Field
Go Local Magnetic Field = (1-Shielding Constant in NMR)*Magnitude of Magnetic Field in Z-Direction
Rate of Exchange at Coalescence Temperature
Go Rate of Exchange = (pi*Peak Separation)/sqrt(2)
Effective Transverse Relaxation Time
Go Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height)
Local Distribution to Shielding Constant
Go Local Contribution = Diamagnetic Contribution+Paramagnetic Contribution
Hyperfine Splitting Constant
Go Hyperfine Splitting Constant = Empirical Constant in NMR*Spin Density
Observed Width at Half-Height of NMR Line
Go Observed Width at Half-Height = 1/(pi*Transverse Relaxation Time)
Shielding Constant given Effective Nuclear Charge
Go Shielding Constant in NMR = Atomic Number-Effective Nuclear Charge
Effective Nuclear Charge given Shielding Constant
Go Effective Nuclear Charge = Atomic Number-Shielding Constant in NMR
Magnetogyric Ratio of Electron
Go Magnetogyric Ratio = Charge of Electron/(2*[Mass-e])

Effective Transverse Relaxation Time Formula

Effective Transverse Relaxation Time = 1/(pi*Observed Width at Half-Height)
T2' = 1/(pi*Δν1/2)

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 (Δν1/2) 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*Δν1/2) 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 (Δν1/2). 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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