Syllabus Edition

First teaching 2023

First exams 2025

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The Hertzsprung–Russell (HR) Diagram (HL IB Physics)

Revision Note

Katie M

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Katie M

Expertise

Physics

The Hertzsprung–Russell (HR) Diagram

  • Danish astronomer Ejnar Hertzsprung, and American astronomer Henry Noris Russell, independently plotted the luminosity of different stars against their temperature
    • Luminosity, relative to the Sun, on the y-axis, goes from dim (at the bottom) to bright (at the top)
    • Temperature, in degrees Kelvin, on the x-axis, goes from hot (on the left) to cool (on the right)

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The Hertzsprung-Russell Diagram depicts the luminosity of stars against their temperature

  • Hertzsprung and Russel found that the stars clustered in distinct areas
  • Most stars are clustered in a band called the main sequence
    • For main sequence stars, luminosity increases with surface temperature
  • A smaller number of stars clustered above the main sequence in two areas, red giants, and red supergiants
    • These stars show an increase in luminosity at cooler temperatures
    • The only explanation for this is that these stars are much larger than main sequence stars
  • Below and to the left of the main sequence are the white dwarf stars
    • These stars are hot, but not very luminous
    • Therefore, they must be much smaller than main sequence stars
  • The Hertzsprung-Russell Diagram only shows stars that are in stable phases
    • Transitory phases happen quickly in relation to the lifetime of a star
    • Black holes cannot be seen since they emit no light

Worked example

Stars can be classified using the Hertzsprung-Russell (H-R) Diagram.

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(a)
State the types of stars found in areas A, B, C and D
(b)
On the H-R diagram, plot the star with a surface temperature of 20 000 K and a luminosity 10 000 times greater than the Sun and label it Star X.
 

Answer:

(a)

Step 1: Identify the main sequence on the HR diagram

  • The main sequence is the easiest to recognise as it is the long band diagonally central to the diagram where the majority of stars are found
  • The main sequence is region B

Step 2: Identify the white dwarf region on the HR diagram

  • White dwarf stars are hot, but not very luminous
  • Identify the area with a lower luminosity than the main sequence
  • The white dwarf region is area A

Step 3: Identify the red giant and red supergiant regions on the HR diagram

  • Red giants and super red giants have a greater luminosity than main sequence stars at a lower temperature
  • That means that they are bigger than main sequence stars
  • The bigger they are, the more luminous they are
  • So, the super red giants are more luminous than the red giants and will appear above them on the graph
  • The super red giant region is area C
  • The red giant region is area D

(b)

Step 1: List the known quantities

  • Surface temperature of Star X = 20 000 K
  • Luminosity of Star X = 10 000 times that of the Sun

Step 2: Use the graph to find the value for the luminosity of the Sun

  • Use a ruler and pencil to draw a line from the position of the sun to the luminosity axis (y-axis)
  • The Sun’s luminosity on this scale is 1 because the luminosities given are relative to the luminosity of the sun

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Step 3: Calculate the luminosity of Star X

  • Star X is 10 000 times that of the Sun
  • The luminosity of the Sun is 1

10 000 × 1 = 10 000 or 104

Step 4: Plot the position of Star X on the HR diagram

  • Locate the surface temperature of Star X at 20 000 K
  • Locate the luminosity of Star X at 104

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  • Plot the point and label it Star X

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Exam Tip

You need to be able to identify the distinct areas of the Hertzsprung-Russell diagram out of context like in this exam question

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Katie M

Author: Katie M

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.