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Week 4 DQ
STELLAR EVOLUTION AND NUCLEAR
REACTIONS
The nuclear reactions described in chapter
9, along with the stellar evolution discussion, can be a bit confusing. This
page is an attempt to clarify those subjects in a unified manner.
1. Main Sequence stars produce energy by fusing
hydrogen (protons) to make helium-4 nuclei, and this happens in the stellar core
- the same as for our Sun. The net reaction for all main sequence
stars is
4 protons (fuse to form) 1 4He + 2 positrons + 2
neutrinos + energy
2. The detailed steps involved in this overall
reaction do depend on the mass of a star. For
low-mass stars (our Sun and lower mass), the standard
proton-proton (pp) reaction you saw in chapter 7 is dominant (although the CNO
cycle does contribute some). In more massive stars,
the core temperatures are higher and that favors the CNO cycle outlined in
chapter 9. The two different cycles have different temperature dependence - at
lower temperature the pp-cycle wins, and at higher temperature the CNO cycle
does.
3. Other nuclear reactions (that don't
necessarily produce energy) also occur in the core of main sequence stars, and
some examples of those reactions appear in Figure 9-9. Think of
these as by-product reactions with little effect on stellar
evolution; these reactions do explain the distribution of element
isotopes we observe in nature. An example of one of those reactions is as
follows:
12C + 1 proton (fuse to form)
13N,
and the 13N nucleus is radioactive, with a
half-life of 10 minutes. Therefore, all the 13N spontaneously
converts to 13C rather rapidly. This reaction has a relatively low
probability of happening, so only a very small fraction of the 12C in
the core will convert to 13C via proton capture and decay. In
nature, about 1% of all carbon is 13C, and 99% is 12C.
Many other reactions can and do also occur in the core as shown in Figure 9-9
during the main sequence portion of a star's life.
4. The heavy-element
fusion such as fusion of helium to form carbon does not occur at all
in main sequence stars like our Sun; it does occur in stars
after they run out of hydrogen in the core and leave the main sequence. In the
most massive stars, this reaction might occur to a limited extent late during
main-sequence life, but the dominant fusion reaction is still that of hydrogen
producing helium.
5. Since chapter 9 focuses on stellar evolution
through the main sequence, it seems premature to introduce the fusion of helium
to carbon, except to note that it does not occur for main sequence
stars because the core temperature is too low. After life on the
main sequence, a sun-like star's core is depleted in hydrogen, the core
contracts and heats, the region of hydrogen fusion moves outward (with a
non-fusing core of helium), the star gets larger and cooler and more luminous,
and it leaves the main sequence region of the H-R diagram. Eventually, the core
temperature does get to the 100 million Kelvins needed to fuse helium into
carbon - the star then has a relatively short 2nd period of equilibrium while
fusing helium, but it's properties are far different than when the star is on
the main sequence. Soon the helium core depletes and the star changes again and
still more advanced nuclear fusion reactions might occur (depending on initial
stellar mass), but that's really material best covered in unit 5, chapter 10.