Approximately what temperature must the helium core reach for the triple-alpha process to begin?

Answer

$100$ million Kelvin ($10^8$ K).

The initiation of helium fusion, known specifically as the triple-alpha process, requires extreme core conditions. Helium nuclei possess a strong positive electrical charge, resulting in significant mutual electrical repulsion that must be overcome for them to fuse. To overcome this Coulomb barrier, the kinetic energy of the helium nuclei must be exceptionally high, requiring the core temperature to climb to approximately $100$ million Kelvin. Only when this phenomenal temperature is achieved can three helium nuclei fuse together to form carbon, marking the critical transition point for the star's survival.

Approximately what temperature must the helium core reach for the triple-alpha process to begin?
CorestargiantFusion