Vibrational /rotational temperature?

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    Temperature
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Discussion Overview

The discussion revolves around the concept of vibrational and rotational temperature in the context of Raman scattering and its implications for understanding energy states in molecular systems. Participants explore the physical meaning of these temperatures and their relevance in analyzing molecular behavior in reacting flows.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the physical meaning and necessity of measuring vibrational and rotational temperatures in reacting flows.
  • Another participant defines temperature in terms of energy changes with respect to entropy and discusses the independence of different degrees of freedom in a thermodynamic system.
  • A participant references the rotational temperature of H2 (88K) and questions its implications for observing rotational bands at various temperatures, including room temperature and 1500K.
  • It is suggested that the characteristic rotational temperature indicates when thermal fluctuations become comparable to the energy transitions in the rotational spectrum, affecting calculations of partition functions, entropy, and heat capacity.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and interpretation regarding the implications of rotational temperature, with no consensus reached on the specific effects of temperature on rotational bands or the broader significance of these temperatures in molecular dynamics.

Contextual Notes

Some assumptions regarding the independence of degrees of freedom and the conditions under which the rotational temperature applies may not be fully explored, leaving potential gaps in understanding the implications of temperature on molecular behavior.

hymeme
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I learned that Raman scattering can measure the vibrational / rotational temperature of certain species in a reacting flow. But couldn't figure out the physical meansing of these temperature. Why do we need such things? Can anyone help me? Thank you!
 
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Temperature is the rate at which energy changes with respect to entropy, at constant volume, and particle number.

If you can have a system with different degrees of freedom what don't interact with one another, then each degree of freedom can be treated as an independent thermodynamic system, with its own energy, entropy, and temperature.

As an example, it is possible for the spins of atoms in a crystal to have independent (and sometimes even negative) temperatures from the vibrational degrees of freedom of the atom.
 
Thank jfizzix for the reply! It helped some.
From some tables, we know that the rotational temperature of H2 is 88K. What does that imply? (Does it mean that to get the rotational bands, the temperature should be higher than 88K.) If H2 is at room temperature, or if it is at 1500K, will the rotational bands be significantly different? This is the area I am not familiar with.
 
Ah, the characteristic rotational temperature (the thing looked up in tables) is the temperature at which thermodynamic energy fluctuations (kbT) are on par with the transitions in the rotational part of the energy spectrum.

If you are above 88K, then the thermal fluctuations are on par with the rotational energy levels, so beyond that temperature, you probably need to consider more than just the translational degree of freedom in calculating things like the partition function, entropy, heat capacity, etc.
 
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