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Main Sequence
Hydrogen burning in core
Subgiant
Expanding photosphere, Hydrogen burning shell around contracting inert Helium core
Red Giant
Fuse Helium in the core and burn Hydrogen in a shell.
Red Giant Branch Star
Inert Helium Core
Hydrogen burning in shell around the core.
Helium Flash
An explosion of Helium that causes core temperature to rise rapidly. Helium ash settles around the core and it contracts. Once it becomes so dense there is electron degeneracy pressure. When the core gets very hot (100 million K) the Helium rapidly begins fusion that becomes a runaway process (the reaction rate keeps increasing)
Horizontal Branch Star
Hydrogen burning shell, Helium burning core
Asymptotic Branch Star
Inert Carbon core that does not fuse because it does not reach the desired temperature (600 million Kelvin). Helium and Hydrogen burning shells.
Planetary Nebula
Ejection of all the material around the core of the star.
White Dwarf
Final form of the low mass star. It is just the carbon core and is dim and cool.