Bolometric Magnitude and H-R diagram

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SUMMARY

The Hertzsprung-Russell (H-R) diagram typically represents Absolute Magnitude on the vertical axis as Visual Absolute Magnitude (M_V), despite the potential for using Bolometric Absolute Magnitude (M_{bolo}). The discussion highlights the common confusion surrounding the representation of luminosity in H-R diagrams, emphasizing that while M_V is frequently used, bolometric corrections are necessary for accurate representation of total energy radiated. The complexity of stellar spectra contributes to the challenges in measuring M_{bolo} accurately.

PREREQUISITES
  • Understanding of Hertzsprung-Russell diagram principles
  • Knowledge of Absolute Magnitude concepts (M_V and M_{bolo})
  • Familiarity with bolometric corrections in astrophysics
  • Basic comprehension of stellar spectra and their complexities
NEXT STEPS
  • Research the calculation methods for bolometric corrections in stellar astrophysics
  • Explore the differences between Visual Absolute Magnitude and Bolometric Absolute Magnitude
  • Study the implications of stellar spectra on luminosity measurements
  • Investigate the historical development and variations of the H-R diagram
USEFUL FOR

Astronomers, astrophysics students, and educators seeking to deepen their understanding of stellar classification and luminosity measurement techniques.

Barnak
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I need to clarify something important, with the Hertzsprung-Russell diagram :

What actually is the Absolute Magnitude on the vertical axis ? **Rigorously**, is it the Visual Absolute Magnitude M_V or is it the Bolometric Absolute Magnitude M_{bolo} ?

Usually, we find "sloppy" H-R diagrams everywhere, which draws Luminosity (or Absolute Magn) on its vertical axis. But nowhere do they state clearly which one it is.

I'm now suspecting is should be the bolometric magnitude and Luminosity (i.e. total energy radiated away, and not just the visible part). Am I right ?
 
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I think you can use both, because (if I'm not wrong) in stars M_V \simeq M_{bol} ; from wikipedia:
"The bolometric magnitude can be computed from the visual magnitude plus a bolometric correction, M_{bol} = M_V + BC . This correction is needed because very hot stars radiate mostly ultraviolet radiation, while very cool stars radiate mostly infrared radiation"
I think it's commonly used M_V.
 
Last edited:
Barnak said:
I need to clarify something important, with the Hertzsprung-Russell diagram :

What actually is the Absolute Magnitude on the vertical axis ? **Rigorously**, is it the Visual Absolute Magnitude M_V or is it the Bolometric Absolute Magnitude M_{bolo} ?

Usually, we find "sloppy" H-R diagrams everywhere, which draws Luminosity (or Absolute Magn) on its vertical axis. But nowhere do they state clearly which one it is.

I'm now suspecting is should be the bolometric magnitude and Luminosity (i.e. total energy radiated away, and not just the visible part). Am I right ?

The H-R diagram just uses Mv as the bolometric magnitude is difficult to measure and isn't accurately known for a lot of stars. Bolometric corrections can be computed, but they're estimates not exact. Stellar spectra are very complex.
 

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