Specific Heat at High Temperatures

[TonyKonya]

TL;DR

Need information to find tabular or mathematical methods to determine specific heat (Cv) of gases at high temp.

I am working on some simulations to determine pressures for extremely high-pressure combustion events. The temperatures in these events can range anywhere from 3000 K to 6000 K. In order to do this I need to find valuers for specific heats of gases at these temp ranges as I know they vary to a large degree. Some previously published data I have contain some of these such as:
5000 K:
H2O - 9.933 cal/mole K
N2 - 6.526 cal/mole K
CO2 - 12.292 cal/mole K
CO - 6.580 cal/mole K

This paper also has a few other numbers associated. I have also found thermo texts that go up to 1500 C or 2000 C, but I need to go higher than this. I also have Fenning, R.W. The Specific Heat of Gases at High Temperatures. Phil. Trans. Roy. Soc. (1932).

Does anyone know of other references or sources I can find some more information? I would really like a way to mathematically represent this instead of just tabular but I am happy with either.

P.S. Thermo and Chemistry is not my background so please feel free to correct me if I am wrong about something here.

Thanks for responses in advance!

 

[bigfooted]

Specific heats are difficult to describe accurately in analytical form, in combustion science almost everybody uses the NASA polynomials. You can find it here:
http://garfield.chem.elte.hu/Burcat/burcat.html

 

[TeethWhitener]

JANAF tables are also good:
https://janaf.nist.gov/