Color temperature and effective temperature of a star

Click For Summary
SUMMARY

Color temperature (Tcol) is consistently greater than effective temperature (Teff) in stars due to the nature of photon emission and scattering opacity. Teff represents the temperature at the last interaction surface where photons are emitted, while Tcol reflects the spectrum emitted if the star were a perfect blackbody. For instance, the Sun has a Teff of 5780K and a Tcol of 5900K, illustrating that stars do not behave as perfect blackbodies. The spectral analysis of A0V stars, such as Vega, further demonstrates this discrepancy, with Tcol at 15,000K compared to an effective temperature of 9,500K.

PREREQUISITES
  • Understanding of stellar physics and thermodynamics
  • Familiarity with the concepts of color temperature and effective temperature
  • Knowledge of photon emission and scattering processes
  • Basic grasp of spectral analysis and blackbody radiation
NEXT STEPS
  • Research the differences between color temperature and effective temperature in stellar astrophysics
  • Study the Balmer absorption bands and their impact on stellar spectra
  • Explore the HILIB stellar spectra library for various star classifications
  • Learn about Planckian blackbody spectra and their applications in astrophysics
USEFUL FOR

Astronomers, astrophysics students, and anyone interested in understanding stellar characteristics and temperature measurements.

alialice
Messages
50
Reaction score
0
Is there someone how could explain me why is color temperature (Tcol) always greater than the effective temperature (Teff) of a star?
I know that Teff is the temperature of the last interaction surface, where photons are emitted.
In the case that the scattering opacity is the dominant one, photons have a Tcol higher than Teff. What we can observe with instruments is Tcol. But the temperature that gives luminosity is Teff. Why don't use Tcol? Please explain me the exact difference between the two.
Thanks
 
Astronomy news on Phys.org
I think Teff refers to the total radiative power per square unit, while Tcol refers to the spectrum emitted if the object were a perfect blackbody. For example, according to wiki the Sun has a Teff of 5780k but a Tcol of 5900k. This would be because the Sun is not a perfect blackbody and its color will be slightly different.

A more extreme example can be found here: http://en.wikipedia.org/wiki/Color_temperature#Color_temperature_in_astronomy
The picture below is from that article. It is the spectrum of A0V star, similar to Vega. As you can see, the blue graph is the measured spectrum while the 15,000k dashed line is the Tcol. This 15,000k Tcol matches the visible output much better than the 9,500k "blackbody" dotted line, even though the effective temperature is actually 9,500k.

The picture's description in the article: The spectral power distribution of a typical A0V star (like e.g. Vega) from the HILIB stellar spectra library in comparison with a Planckian blackbody spectrum of the same effective temperature of 9500 K (dotted line) and visual color temperature of 15000 K (dashed line). Intensity B is in arbitrary units, and the curves are normalised to match at lambda = 555 nm. Both temperatures differ mainly due to the Balmer absoption bands in the ultraviolet region

800px-A0V-blackbody_SPD_comparison.png
 
  • Like
Likes   Reactions: stefan r

Similar threads

  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 49 ·
2
Replies
49
Views
5K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 48 ·
2
Replies
48
Views
6K
  • · Replies 0 ·
Replies
0
Views
3K
  • · Replies 13 ·
Replies
13
Views
5K