The Hertzsrung-Russell Diagram (HR Diagram)
as related to Stellar Radius and Temperature

This page uses Java Script for the Calculations
written by Larry Bogan


The HR Diagrams plots stellar brightness versus surface temperature

Radius, R
The radius of the star's photosphere
Luminosity, L
The total electromagnetic power radiated by a star (Watts)
L = kR2Teff4
Effective Temperature, Teff
The temperature of the surface of the photosphere that give the total luminosity by Planck's Blackbody radiation
Bolometric Magnitude, Mbol
The total Luminosity expressed in Magnitudes relative to the sun [Mbol(sun) = +4.75]
Mbol(*) = Mbol(sun) - 2.5 log(L*/Lsun) The bolometric magnitude can be related to the visible magnitude using a bolometric correction (BC)
Mbol = Mv + BC(Teff)
Color Index, B - V
The stars color as given by its blue magnitude minus visible magnitude. Since magnitudes are smaller for larger brightness, a brighter blue star will have a more negative Color Index.
Color Index ,CI, is monotonically related to the temperature of the star
B-V = CI(Teff)

Empirical Relationship between CI, Mbol and Teff

.

Cameron Reed of Alma College (Michigan) in
"The Composite Observational-Theoretical HR Diagram"
The Journal of the Royal Astronomical Society of Canada
February/March 1998 Volume92 Number 1 [669] page36
has give an empirical fit of Mbol and CI to their Teff dependence.


The form below allows you to enter T and R and then allows you to calculate
L, BC and CI which gives Mbol and Mv.

CALCULATOR

RADIUS (solar radii) TEMPERATURE K
Luminosity Bolometric Correction Color Index
Bolometric magnitude Absolute Visual magnitude

Larry Bogan - Cambridge Station, N.S. Canada - June 1998