Vibrational /rotational temperature?

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Raman scattering can measure the vibrational and rotational temperatures of species in a reacting flow, which are crucial for understanding energy changes in thermodynamic systems. Each degree of freedom in a system can behave independently, leading to different temperatures for various interactions, such as atomic spins versus vibrational modes. The rotational temperature of H2 is 88K, indicating that above this temperature, thermal fluctuations become significant enough to affect the rotational energy levels. At temperatures like room temperature or 1500K, the rotational bands will differ due to these fluctuations. Understanding these concepts is essential for accurate calculations of thermodynamic properties like partition functions and heat capacities.
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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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