What kind of stars are found here?

A star in this region of the Hertzsprung-Russell diagram has a temperature of roughly 22,000 Kelvin (22,000 K), a luminosity 50 times less than that of the Sun (0.02 × L), and a radius one hundred times smaller than the Sun (R = 0.01 × R). This star lies along the narrow band in size, where white dwarf stars are found. The fairly high temperature indicates that this star is the end-product of a fairly recent nova of a low-mass star (an older star would have had more time to cool, and so moved further down the white dwarf sequence to lower luminosities and cooler temperatures).

Try to read the values of L, T, and R for yourself from the diagram. Do you estimate values for the luminosity, temperature, and size of the star similar to those listed above?


How can we find the luminosity L of a white dwarf in this region of the Hertzsprung-Russell diagram, if we know its temperature T?

We can use the Stephan-Boltzmann Law to relate the temperature (T), size (R), and luminosity (L) of a star to each other. Measuring L, R, and T in solar units, we say that:

Let us say that the temperature of the star is exactly 21,700 K. We know that the temperature of the Sun is 5,800 K, so we can convert the temperature of the star into solar units. This is just a way of asking How hot is the star relative to the Sun? (If the star is six as hot as the Sun, for example, T = 6 × T. If the star is six times cooler as the Sun, T = 0.166 × T.)

This star is four times hotter than the Sun. Now assume that the radius of the star is 0.01× R, as the Hertzsprung-Russell diagram shows us that all white dwarfs are roughly one-hundredth of the size of the Sun. The final step is to calculate the luminosity L, from T and R.

We estimated a value of L = 0.02 L from the diagram, for stars found in this area – a good estimate!