Temperature dependence of relaxation time T1 vs T2

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Discussion Overview

The discussion centers on the temperature dependence of longitudinal relaxation time T1 and transversal relaxation time T2 in the context of NMR relaxation times, particularly in relation to the dynamics of Relaxor ferroelectrics.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that as temperature increases, the longitudinal relaxation time T1 should decrease due to increased dynamics and fluctuations at a given frequency.
  • The same participant posits that the transversal relaxation time T2 must increase with temperature, arguing that T2 depends on the spectral density at zero frequency and that increased dynamics would lead to a decrease in T2.
  • Another participant requests clarification on the context of the original question, indicating a need for more background information.
  • A different participant expresses confusion regarding the argument that increasing dynamics would lead to a decrease in T2.
  • One participant presents a visual representation of spectral density at different frequencies, suggesting that higher dynamics correlate with shorter correlation times and a broader frequency distribution, which they argue leads to lower T2.
  • Another participant notes that energy density for every frequency increases with temperature, although the implications of this statement are not fully explored.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between temperature, T1, and T2, with no consensus reached on the implications of increasing dynamics for T2.

Contextual Notes

Some assumptions regarding the contributions of different frequency components to T2 are not fully clarified, and the discussion includes unresolved questions about the relationships between temperature, dynamics, and relaxation times.

qwerasadf
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Hi,
when we assume a obejct with increasing dynamics with increasing temperature, the longitudinal relaxation time T1 should decrease. Since we have, let's say at a frequency 100 MHz , more fluctuations of B0.

Ok, then the transversal relaxation time T2 must increase with increasing temperature, right? Because T2 depends on the spectral density at j(0) (zero frequency). so when there is a increasing dynamic, the zero-frequency-motion-ometer (=T2) must decrease. Is it right?

I know there is also a j(100MHz) contribution within T2, but let's assume that's negligible.

Thanks a lot, sorry for bad english!
 
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Could you please give the context of your question?
 
Hi, DrClaude,

Its about the investigation of Relaxor ferroelectrics with NMR relaxation time.
 
qwerasadf said:
so when there is a increasing dynamic, the zero-frequency-motion-ometer (=T2) must decrease.
I don't understand the argument here.
 
upload_2015-11-5_22-52-56.png

In this picture we can see the spectral density with different frequencies. If there are are high dynamics => shorter correlation time => frequency distribution becomes broader. the dashed lines is referred to the T1 relaxation time. T2 is at 0Hz. Thus, increasing dynamics lead to low T2, right?
 
The energy density for every frequency increases with temperature.
 

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