| Last: 10. The Lives of Stars | Next: 12. Structure of the Milky Way |
The relentless force of gravity determines the fate of the Sun and other stars. But in struggling against gravity, stars may return matter to interstellar space; moreover, they accomplish what alchemists long-ago failed to do: transmute common elements into rare ones.
|   | 13.1a-d | The Death of the Sun |   | p. 298-302 |
|   | 13.2a-e | Supernovae: Stellar Fireworks! |   | p. 303-311 |
Stellar evolution [Wikipedia] |
A star with the same mass as the Sun enjoys a long and stable life on the main sequence, but once hydrogen burning in the core comes to an end the star starts to change.
When all the hydrogen in a star's core has been burned to helium, the star begins a dramatic transformation.
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An inert helium (He) core sits at the star's center. The core
is hot, so energy flows out; in response, it contracts (black
arrows), releases gravitational energy, and gets even hotter!
Hydrogen burning (4 H → He) continues in a
shell around the core.
The total amount of energy produced by the star is now much greater than it was when the star was on the main sequence, and the envelope the star must expand (red arrows) to handle this energy flow. The surface temperature drops from white-hot to red-hot. |
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From an external point of view, the star becomes both brighter and cooler; it swells up to about 100 times its main sequence size, becoming a red giant.
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When the core reaches 108 K, helium burning
can begin. (Sometimes called the ``triple-alpha process''
because it involves 3 ``alpha particles'' or He nuclei).
Compared to hydrogen burning, helium burning is inefficient. The reaction 3 He → C converts only 0.07% of the mass to energy; that's just a tenth the yield of hydrogen burning. |
Triple-alpha process [Wikipedia] |
Under slightly hotter conditions, helium and carbon can burn to produce oxygen. The reaction 4 He → O converts about 0.1% of the mass to energy.
When He begins burning in a small (solar-mass) star, it temporarily reverses some of the changes the star's structure. The core expands, the envelope contracts, and the total luminosity drops because the helium-burning core can regulate its energy output. Such a star is called a horizontal branch star.
| A low-mass star has four stages of nuclear burning: main sequence (MS), red giant (RG), horizontal branch (HB), and asymptotic giant (AG). |
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At each stage, key properties of a M = 1 MSun are:
| Stage | Age (109 yr) |
Diam. (AU) |
Lumin. (LSun) |
Nuclear Reactions | |
| MS | 10.9 | 0.01 | 2 | 4 H → He (core) | |
| RG | 12.2 | 1 | 2000 | 4 H → He (shell) | |
| HB | 12.3 | 0.1 | 100 | 4 H → He (shell) | 3 He → C (core) |
| AG | 12.4 | 2 | 5000 | 4 H → He (shell) | 3 He → C (shell) |
Planetary NebulaeHelium shell burning in an asymptotic giant star is unstable; instead of burning steadily as a core does, the shell generates brief bursts of power. The star's envelope surges outward with each burst, and some gas is ejected into space.
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The Physical Universe, Ch. 8, Fig. 9 The result is called a planetary nebula (though it has nothing to do with planets); the gas fluoresces in the intense UV emitted by the central star, creating a beautifully symmetric nebula. |
Why doesn't the core of an asymptotic branch star continue contracting, and heat up enough to burn C/O?
A new form of pressure stops contraction.
Core ejects envelope (→ planetary nebula) and remains behind as central star:
No energy sources -- bare core gradually cools off.
New form of pressure due to QM behavior of electrons.
Recall ordinary gas pressure implies atoms move with speeds:
| v | ∝ |
1
|
. |
QM rules imply electrons must move with speeds
| v | ∝ |
1
|
. |
As R → 0, electron speed becomes much greater than atom speed. Eventually, energy cost of promoting electrons to higher speeds exceeds energy release from contraction, and contraction halts.
Degeneracy pressure explains why, for example, a planet like Jupiter does not get hot enough inside to fuse hydrogen and become a star. Jupiter started contracting under its own gravity, but became degenerate and stopped before it could ignite hydrogen.
Objects smaller than 0.08 MSun never get hot enough to burn ordinary hydrogen, but deuterium -- a rare form of hydrogen -- does burn at lower temperatures and provides brown dwarfs with a modest energy source. The smallest objects which can ignite deuterium are about 0.013 MSun, or roughly 13 MJupiter.
The Temperature-Luminosity Diagram (Review) |
Hertzsprung-Russell diagram [Wikipedia] |
There are two possible ways in which stars can explode and return new elements to interstellar space. Both involve a critical mass limit, the Chandrasekhar mass.
Recall that quantum mechanics requires electrons to move with speeds inversely proportional to the radius of a star:
| v | ∝ |
1
|
. |
Also, recall that the more mass a white dwarf has, the smaller its radius. Therefore, the higher the mass of a white dwarf, the faster its electrons must move.
Now, if a star supported by degeneracy pressure is too massive, the electrons would be required to move faster than light. Nothing can move faster than light, so degeneracy pressure cannot support stars above a certain mass. This mass, first computed by Chandrasekhar, is 1.4 MSun.
| Space telescope images of Betelgeuse, a red supergiant star of high mass. In visible light, this star has a diameter of about 5 AU. However, these UV images show that Betelgeuse's tenuous and irregular envelope extends many times further. |
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| A computer simulation shows how convection in this star's envelope can account for it's irregular appearance. |
Simulation of Betelgeuse [Bernd Freytag] |
Late Stages of High-Mass StarsStars with more than 10 times the Sun's mass reach internal temperatures far higher than temperatures in smaller stars. As a result, they can burn heavier elements:
However, each stage of burning yields less energy than the stage before, and the iron-group elements (Fe, Co, Ni) yield no energy at all. As burning proceeds, a degenerate core of Fe builds up at the center of the star... |
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When the iron core reaches the Chandrasekhar mass, it collapses, falling inward at speeds approaching the speed of light. This produces gravitational energy. Iron nuclei are smashed into neutrons and protons (Fe → n, p), and as the density increases, protons and electrons combine to produce neutrons and neutrinos (p+e → n+&nu). Most of the neutrinos escape, carrying the gravitational energy with them; a mere 1% are absorbed by material surrounding the collapsing core, which is blasted outward...
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Model of a SN collapse [Adam Burrows] |
Model of a SN explosion [Adam Burrows] |
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A brief pulse of neutrinos was detected several hours before the supernova was first seen in visible light. This strongly supports the basic picture of core collapse in Type II SN.
Supernova DebrisThe blast ejects the rest of the star into space at speeds of ~2000 km ⁄ sec. The debris include the carbon, oxygen, silicon, sulfer, and other elements produced in the star before it exploded. This image of a supernova remnant shows oxygen-rich material (green & blue) and sulfer-rich material (red). |
Oxygen-Rich Supernova Remnant in the Large Magellanic Cloud [STScI] |
Crab Nebula: a Dead Star Creates Celestial Havoc [NASA] |
| A white dwarf orbiting a another star may gain mass from its companion. The stolen mass forms an accretion disk around the white dwarf and slowly spirals in toward the center. |
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When the white dwarf gains enough mass to exceed the Chandrasekhar limit, it begins to collapse. But the carbon and oxygen making up the white dwarf begin to burn as it collapses, and this releases so much nuclear energy that the star is completely destroyed. The nuclear reactions synthesize large amounts of iron-group elements, and some heavier elements as well.
Some elements are more common than others; the pattern of
abundances reflects stellar processes:
|
Abundance of Elements [GreenSpirit] |
| 1 H |
2 He |
||||||||||||||||
| 3 Li |
4 Be |
5 B |
6 C |
7 N |
8 O |
9 F |
10 Ne |
||||||||||
| 11 Na |
12 Mg |
13 Al |
14 Si |
15 P |
16 S |
17 Cl |
18 Ar |
||||||||||
| 19 K |
20 Ca |
21 Sc |
22 Ti |
23 V |
24 Cr |
25 Mn |
26 Fe |
27 Co |
28 Ni |
29 Cu |
30 Zn |
31 Ga |
32 Ge |
33 As |
34 Se |
35 Br |
36 Kr |
| 37 Rb |
38 Sr |
39 Y |
40 Zr |
41 Nb |
42 Mo |
43 Tc |
44 Ru |
45 Rh |
46 Pd |
47 Ag |
48 Cd |
49 In |
50 Sn |
51 Sb |
52 Te |
53 I |
54 Xe |
| 55 Cs |
56 Ba |
* |
72 Hf |
73 Ta |
74 W |
75 Re |
76 Os |
77 Ir |
78 Pt |
79 Au |
80 Hg |
81 Tl |
82 Pb |
83 Bi |
84 Po |
85 At |
86 Rn |
| 87 Fr |
88 Ra |
** |
104 Rf |
105 Db |
106 Sg |
107 Bh |
108 Hs |
109 Mt |
110 Ds |
111 Rg |
112 Uub |
113 Uut |
114 Uuq |
115 Uup |
116 Uuh |
117 Uus |
118 Uuo |
| * Lanthanides | 57 La |
58 Ce |
59 Pr |
60 Nd |
61 Pm |
62 Sm |
63 Eu |
64 Gd |
65 Tb |
66 Dy |
67 Ho |
68 Er |
69 Tm |
70 Yb |
71 Lu |
||
| ** Actinides | 89 Ac |
90 Th |
91 Pa |
92 U |
93 Np |
94 Pu |
95 Am |
96 Cm |
97 Bk |
98 Cf |
99 Es |
100 Fm |
101 Md |
102 No |
103 Lr |
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Periodic table [Wikipedia] |
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| Last: 10. The Lives of Stars | Next: 12. Structure of the Milky Way |
|
Joshua E. Barnes
(barnes@ifa.hawaii.edu)
Last modified: October 31, 2006 http://www.ifa.hawaii.edu/~barnes/ast110_06/tooe.html |
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