Rate of Exchange at Coalescence Temperature Calculator

✖Peak Separation is the separation in hertz between the two singlets in the absence of exchange.ⓘ Peak Separation [Δν]

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✖The Rate of Exchange is determined by comparing linewidths at half height of exchanging peaks to those of peaks recorded at coalescence temperatures.ⓘ Rate of Exchange at Coalescence Temperature [k_c]

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Rate of Exchange at Coalescence Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

k_c = (pi*Δν)/sqrt(2) --> (pi*16)/sqrt(2)

Evaluating ... ...

k_c = 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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Rate of Exchange at Coalescence Temperature Formula

LaTeX Go

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