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)
Δν1/2 = 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
Δν1/2 = 1/(pi*T2) --> 1/(pi*21)
Evaluating ... ...
Δν1/2 = 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 00.020 seconds)

Credits

Created by Pratibha
Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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National University of Judicial Science (NUJS), Kolkata
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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])

Observed Width at Half-Height of NMR Line Formula

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