Relaxation times as a function of temperature in NMR

[neorich]

Good Morning, I have been carrying out some NMR relaxation measurements (T1 and T2), and have found that they have a dependence on the temperature of the sample, for example T1 is small at lower temperatures, and larger at higher temperatures.

Can anyone explain why there is a dependence of these relaxation times on the sample temperature, in other words what is it about the sample properties at different temperatures that changes the values of T1 & T2?

Any help is much appreciated.

Thanks for your help.

neorich2002

 

[marcusl]

T1, the spin-lattice relaxation time, describes dephasing due to magnetic field variations, and energy loss into the bulk material. T2, the spin-spin relaxation time, arises from coupling between neighboring spin systems. Both are temperature dependent, but in general the dependencies can be complex. Sorry I can't help with specifics. Books like Slichter's should describe this is more detail.

 

[charng]

Good morning neorich2002,

Thank you for your question. The dependence of relaxation times on sample temperature in NMR is a common phenomenon and is influenced by several factors. One of the main reasons for this dependence is the change in molecular motion of the sample molecules at different temperatures.

In NMR, relaxation times (T1 and T2) refer to the time taken for the excited nuclear spin to return to its equilibrium state. At low temperatures, the molecules in the sample have less thermal energy and therefore exhibit slower molecular motion. This results in longer relaxation times as the spins take longer to return to equilibrium.

On the other hand, at higher temperatures, the molecules have more thermal energy and exhibit faster molecular motion. This leads to shorter relaxation times as the spins return to equilibrium more quickly. Additionally, higher temperatures may also cause changes in the chemical environment of the molecules, such as increased molecular collisions, which can also affect the relaxation times.

It is important to note that the exact relationship between temperature and relaxation times can vary depending on the specific properties of the sample, such as molecular structure and composition. Therefore, it is crucial to carefully consider the sample properties when interpreting the temperature dependence of relaxation times in NMR experiments.

I hope this explanation helps to clarify the dependence of relaxation times on temperature in NMR. If you have any further questions, please don't hesitate to ask.

Best regards,