Rate of Exchange at Coalescence Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Exchange = (pi*Peak Separation)/sqrt(2)
kc = (pi*Δν)/sqrt(2)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Rate of Exchange - (Measured in 1 Per Second) - The Rate of Exchange is determined by comparing linewidths at half height of exchanging peaks to those of peaks recorded at coalescence temperatures.
Peak Separation - (Measured in Hertz) - Peak Separation is the separation in hertz between the two singlets in the absence of exchange.
STEP 1: Convert Input(s) to Base Unit
Peak Separation: 16 Hertz --> 16 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kc = (pi*Δν)/sqrt(2) --> (pi*16)/sqrt(2)
Evaluating ... ...
kc = 35.5430635052669
STEP 3: Convert Result to Output's Unit
35.5430635052669 1 Per Second --> No Conversion Required
FINAL ANSWER
35.5430635052669 35.54306 1 Per Second <-- Rate of Exchange
(Calculation completed in 00.004 seconds)

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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])

Rate of Exchange at Coalescence Temperature Formula

Rate of Exchange = (pi*Peak Separation)/sqrt(2)
kc = (pi*Δν)/sqrt(2)

What is Coalescence Temperature?

The coalescence temperature is defined as the temperature at which
the appearance of the spectrum changes from that of two separate peaks to that of a single, flat-topped peak. As the temperature is increased, the exchange rate becomes fast relative to the NMR time scale and only one averaged species is observed due to signal coalescence.

How to Calculate Rate of Exchange at Coalescence Temperature?

Rate of Exchange at Coalescence Temperature calculator uses Rate of Exchange = (pi*Peak Separation)/sqrt(2) to calculate the Rate of Exchange, The Rate of Exchange at Coalescence Temperature is a rate constant at the coalescence temperature in dynamic NMR. It is in the range of 10^-1 to 10^3 /sec. Rate of Exchange is denoted by kc symbol.

How to calculate Rate of Exchange at Coalescence Temperature using this online calculator? To use this online calculator for Rate of Exchange at Coalescence Temperature, enter Peak Separation (Δν) and hit the calculate button. Here is how the Rate of Exchange at Coalescence Temperature calculation can be explained with given input values -> 35.54306 = (pi*16)/sqrt(2).

FAQ

What is Rate of Exchange at Coalescence Temperature?
The Rate of Exchange at Coalescence Temperature is a rate constant at the coalescence temperature in dynamic NMR. It is in the range of 10^-1 to 10^3 /sec and is represented as kc = (pi*Δν)/sqrt(2) or Rate of Exchange = (pi*Peak Separation)/sqrt(2). Peak Separation is the separation in hertz between the two singlets in the absence of exchange.
How to calculate Rate of Exchange at Coalescence Temperature?
The Rate of Exchange at Coalescence Temperature is a rate constant at the coalescence temperature in dynamic NMR. It is in the range of 10^-1 to 10^3 /sec is calculated using Rate of Exchange = (pi*Peak Separation)/sqrt(2). To calculate Rate of Exchange at Coalescence Temperature, you need Peak Separation (Δν). With our tool, you need to enter the respective value for Peak Separation 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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