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How does the CNO cycle produce energy in hotter stars?

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The CNO cycle (carbon-nitrogen-oxygen cycle) is a sequence of thermonuclear reactions that serves as the primary energy source for hotter stars on the main sequence. In this process, carbon acts as a catalyst to facilitate the conversion of four hydrogen nuclei into one helium nucleus.123

The cycle proceeds through a repeating loop of proton captures and beta decays:

  • A carbon-12 (12C) nucleus captures a proton to form nitrogen-13 (13N), which then decays into carbon-13 (13C).12
  • The 13C nucleus captures another proton to become nitrogen-14 (14N).12
  • The 14N nucleus captures a proton to form oxygen-15 (15O), which decays into nitrogen-15 (15N).12
  • Finally, the 15N nucleus captures a proton and breaks down, releasing a helium nucleus (alpha particle) and regenerating the original 12C nucleus.12

A fraction of the mass is released as energy according to the mass-energy equivalence formula, E = mc2. Because this process requires higher temperatures to overcome the electrostatic repulsion of the involved nuclei, it is the dominant energy source in stars significantly hotter or more massive than the Sun.123