159–160SpaceCore

Stellar Evolution

A star is a battle between two forces. Gravity pulls its matter inwards; pressure from the energy released by fusion pushes outwards. For most of a star’s life the two are balanced. Stellar evolution\textbf{Stellar evolution} is the story of what happens as the fuel runs out and that balance shifts.

35 min Topic 10 · Space

What you'll be able to do

  • Describe the formation of a star from a nebula and the main sequence stage
  • Describe the evolution of low-mass and high-mass stars
  • Sketch and interpret the Hertzsprung–Russell diagram
  • Explain each stage in terms of the balance between gravity and radiation pressure
1

Birth and the main sequence

Stars form in nebulae\textbf{nebulae}, vast clouds of hydrogen and dust. Gravity pulls denser regions together, and as the gas falls inwards its gravitational potential energy becomes kinetic energy, heating it. The collapsing ball is a protostar\textbf{protostar}.

When the core reaches about 10710^{7} K, particles move fast enough to overcome electrostatic repulsion and hydrogen nuclei fuse into helium. The energy released creates outward pressure.

Once outward pressure balances gravity, the star is stable and on the main sequence\textbf{main sequence}. It stays there for most of its life, fusing hydrogen in its core.

More massive stars have stronger gravity, so their cores are hotter and fuse far faster. A star ten times the Sun’s mass burns through its hydrogen in a few tens of millions of years; the Sun lasts about ten billion.

2

Low-mass stars

When core hydrogen runs out, fusion there stops and outward pressure falls. The core contracts and heats, which ignites hydrogen fusion in a shell around it. The extra energy makes the outer layers expand and cool: the star becomes a red giant\textbf{red giant}.

The core eventually becomes hot enough to fuse helium into carbon and oxygen. When that fuel is also exhausted, a Sun-sized star is not massive enough to heat its core further.

The outer layers drift away as a planetary nebula\textbf{planetary nebula}, leaving the hot, dense core as a white dwarf\textbf{white dwarf} — about the size of Earth. Fusion has stopped; it is supported against gravity by electron degeneracy pressure and slowly cools.

Tip — A white dwarf shines only by leftover heat, not fusion. Its high temperature but tiny surface area puts it bottom-left on the H–R diagram.

3

High-mass stars

Stars above about eight solar masses become red supergiants\textbf{red supergiants}. Their cores are hot enough to fuse successively heavier elements, building up layers like an onion, until the core is iron.

Fusing iron releases no energy, so the core suddenly loses its support and collapses in under a second. The infalling outer layers rebound in a supernova\textbf{supernova}, briefly outshining an entire galaxy and scattering heavy elements into space.

If the remaining core is between about 1.4 and 3 solar masses, electrons and protons are squeezed into neutrons, forming an extremely dense neutron star\textbf{neutron star}. Above that, nothing can halt the collapse and a black hole\textbf{black hole} forms, with gravity so strong that not even light escapes.

4

The Hertzsprung–Russell diagram

The H–R diagram plots luminosity (often relative to the Sun, on a logarithmic scale) against surface temperature. By convention, temperature increases to the left\textbf{temperature increases to the left}, from about 3000 K to 30 000 K or more.

The main sequence\textbf{main sequence} is a diagonal band from hot, bright stars at top left to cool, dim stars at bottom right. Red giants\textbf{Red giants} and supergiants\textbf{supergiants} lie above it on the right — cool but luminous, because they are enormous. White dwarfs\textbf{White dwarfs} sit below it on the left — hot but dim, because they are tiny.

As the Sun evolves it will leave the main sequence, move up and right to the red giant region, then drop down and left to become a white dwarf.

L=σAT4L = \sigma A T^{4}
Why size and temperature fix position on the diagram.

Tip — Stefan’s law explains the diagram: at the same temperature, a more luminous star must have a larger surface area.

Equation recap

L=σAT4L = \sigma A T^{4}
Stefan–Boltzmann law.
A=4πr2A = 4\pi r^{2}
Surface area of a star.

Common mistakes to avoid

Saying white dwarfs are powered by fusion.
Fusion has stopped; they glow from stored heat.
Plotting temperature increasing to the right.
H–R temperature increases to the left.
Saying massive stars live longer.
They use fuel much faster and have shorter lives.
Saying the Sun will become a supernova.
It is too low in mass; it will become a white dwarf.

Key takeaways

  • Stars form when gravity collapses a nebula until hydrogen fusion begins.
  • On the main sequence, fusion pressure balances gravity.
  • Low-mass stars: red giant, planetary nebula, white dwarf.
  • High-mass stars: red supergiant, supernova, neutron star or black hole.
  • The H–R diagram plots luminosity against temperature, increasing to the left.

Test yourself

Answer a few questions, then review anything you missed.

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