24 February

We cannot control atomic energy to an extent which would be of any value commercially, and I believe we are not likely ever to be able to do so.

Ernest Rutherford, Speech to the British Association for the Advancement of Science, 1933

Assignments:

Read Chapter 26, Sections 1-6 (pp. 416-433)

Problem Set #4 due Thursday 4 March 5pm

In Class:

---------------
not all star clusters look the same
        H-R diagrams look different

lines represent where most of the stars are found
 
            - some only have MS stars (Pleiades)
            - some have MS stars, except only a few hot MS stars, plus a
                   few red giants
            - some have only low mass MS stars, lots of RGs and and some WDs
 


        Also differences in spatial distribution of stars
            - tightly packed, spherical "globular" clusters
            - less tightly packed, and more amorphous "open" clusters
 
        This is actually a helpful distinction, cuz
             - if you take all of the globular clusters
                  - they all look pretty much the same
                         - spherical, tightly packed 
                           (though total numbers might differ)

                  - they all have pretty much the same H-R diagram
                         - very stubby MS
                            - no hot MS stars
                         - lots of RGs
                  - they also all appear to have pretty much the 
                         same composition
                         - very "pure"
                           - mostly H, He
                           - very low abundances of "metals"
                                  - C, N, O
                           --- all stars are almost completely H & He,
                                 but these guys are extreme
 
        Important point of distinction between globulars and open clusters
                - open cluster stars generally have more metals
                       (still less than 1% of the mass)
                  - the Sun's composition is more typical of open cluster stars
                        than globular cluster stars
                  - referred to as Population I stars
 
                  - GC stars -->> Pop II
 
OK, so even though we don't know why GC's don't have a normal appearance 
    they all look pretty much the same, and we can treat them as a 
    separate group
             -- they're only about 150 of these in our gax anyway
             -- we'll come back to these oddballs later in class
 
there are a lot more open clusters
      - gax is littered with them
      - they do not have a regular appearance, 
             in spatial distribution
             or on their H-R diagrams
 
             However, they do appear to have similar compositions, so our
             idea that the differences could be explained by compositions
             doesn't look like it's gonna work.
 
 
The real answer to the mystery of the different HR diagrams comes from 
    how stars work
              - how they generate energy
              - and most importantly for the HR diagrams, how they age
 
Energy generation in stars
                 - we've already discussed how stars get hot
                         - squishing from gravity
                 - and a bit about how they stay hot
                         - nuclear fusion
 
Let's look at this process in a little more detail:
 
      nuclear fusion
              - often called nuclear "burning" but it's not burning at all
                      - burning is a chemical process
                                - atoms associate with one another
                                    - mainly by "sharing" electrons
                                    - the nuclei do not participate
                                - energy liberated comes from the sharing
                                    of electrons
                                       -- the energy of the compound
                                          is lower than the energy of the
                                          individual constituents
                                       -- the atoms like each other and
                                           want to be together
 
              - nuclear fusion is a similar in a way, except that instead of
                 the atoms associating, it's the nuclei of the atoms
                  - atomic nuclei consist of aggregations of nucleons
                           - proton (positive charge)
                           - neutron (neutral charge)
                  - the number of protons in a nucleus determines
                       what kind of atom it is
                            - one proton --> H
                            - two protons --> He
                            - 26 protons --> Fe
 
                   - the number of neutrons in a nucleus determines
                       what isotope it is
                            - two protons, two neutrons 
                                 four nucleons --> everyday He: helium-4
                            - two protons, one neutron
                                 three nucleons --> helium-3: rare
                                       note: still Helium 
                                       cuz of two protons
 
                  - only certain combinations of protons and neutrons are
                         stable
                            - if you're too far out of balance, the 
                              nucleus can't hold together
                              basically need something close to 1:1 balance
                                        sometimes can have more neutrons
                            - nuclei can "decay"
                               - often a proton can turn into a neutron
                                   - emit a positron
                               - usually results in the emission of energy
                                   - getting to a more stable state
                                   - sometimes very high energy photons
                                   - "radioactive decay"
                                       - dangerous for us
                                       - this is the problem with nuclear waste
 
                  - when two nuclei combine, they create a different atom
                         entirely
                         - get two H atoms to stick together
                             - now you have a nucleus with two protons
                                   --> He
                        - made He from 2 H
                          - write 1H1 + 1H1 --> 2He2
                        - takes a lot of energy
                          - H's both have positive charge
                              - repel strongly
                              - need to really smash them together
                                - need high speeds
                                  --> high temperatures
                                - that's why the Sun is hot
                                  - it doesn't generate energy until it gets
                                       hot
                                  - thus, it can't support itself against
                                    collapse until the furnace turns on
                                - that's also why we don't have fusion
                                  power plants
                                        - need 10 million K
                                        - hard to confine material at that
                                          kind of temp
                                        - bombs are easy
                        - if we could do it, we'd get lots of energy
                            - though they don't know it, H atoms
                               would prefer to be part of a larger nucleus
                            - if you can get them to stick, they're much
                               happier
                               - lower energy state than just by themselves
                               - generates lots of energy
                            - often called mass-energy conversion
                               - cuz 2He2 has less mass than 2 1H1's
                               - missing mass is converted into energy 
                                    via Einstein's E = mc^2
 
                  - this process doesn't actually work cuz 2He2 
                         isn't stable
                         - it falls apart
                         - need some neutrons
                           - want to make 2He4 -- more stable
                  - the real process is a lot more complicated
                     - need to scare up some neutrons

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