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Units of E are typically eV and units of λ are typically nm
Units of E are typically eV and units of λ are typically nm. Using the hc = 1240 eV nm constant makes the problems much easier.
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Gas Discharge Tubes
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Isotopes cannot be separated by chemical means
Isotopes cannot be separated by chemical means. Separation can be achieved by processes that depend on the difference in masses of the isotopes. Atomic Mass unit 1 u = x kg
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E = mc2 = (1u)c2 E = ( x kg)(2.998 x 108 m/s)2 E = x J = MeV 1 u = MeV/c2
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Number of neutrons, n
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mi = u mf = u Δm = u E = ΙΔmΙc2 = ( u)(931.5 MeV/u) = MeV Question: Why didn't we add in the mass of the beta particle?
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Nuclear Binding Energy
126C has 6 11H and 6 10n 11H = u (includes electrons) 10n = u 126C = u 6( u) + 6( u) = u The mass of the parts is more than the mass of the whole.
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Eb = (Δm)c2 = ( u)(931.5 MeV/u) = 92.2 MeV
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Fission
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Mass defect = u E = Δmc2 E = (0.281 u)(931.5 MeV/u) E = 262 MeV
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21H + 31H = 42He + 10n Left side mass greater than right side mass. E = Δmc2
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Control rods - absorb neutrons to control rate of fission
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Moderator - used to slow down neutrons so they can be absorbed
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Structure of Matter
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Geiger-Marsden Experiment (1909)
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Rutherford Model
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Hadrons Hadrons are viewed as being composed of quarks, either as quark-antiquark pairs (mesons) or as three quarks (baryons). Hadrons are particles that interact by strong force Ask: A proton is a hadron. Why?
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Quark Confinement Cannot be isolated singularly
Strong force holds quarks together Need to provide an energy that is proportional to the separation That energy is so vast that a new quark-antiquark pair forms Left with a meson, instead of an isolated quark Cannot be directly observed
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Quark Confinement Think of trying to separate magnetic poles
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Conservation of Strangeness
Why are some reactions observed and other not? To explain, we need strangeness… The strangeness number S of a baryon is related to the number of strange quarks the particle has. Strange quarks have S = -1, while strange antiquarks have S = +1 In any strong interaction, strangeness is always conserved. S = # antistrange quarks – # strange quarks
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Leptons Present structure has 6 leptons: electron, muon, tau, and their associated neutrinos Leptons have negative charge and a distinct mass, whereas their neutrinos have a neutral charge Leptons interact only via the electromagnetic force carrier, the photon. Leptons DO NOT participate in the strong interaction. Quarks react to both the gluon and the photon. Leptons and quarks also react to gravitons.
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Feynman Diagram Rules Particles - straight lines with arrows pointing upwards Anti-particles - straight lines with arrows pointing downwards Electrons (Electromagnetic Force) - wavy lines Gluons (Strong Force) - looped lines Bosons (Weak Force) - dashed lines Time is measured vertically(sometimes horizontally) Space is measured horizontally(sometimes vertically) Charge is conserved at each junction Baryon number is conserved at each junction
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Higgs Boson This particle is the one that gives quarks and leptons their mass Process where mass is not the property of the particle, but part of space itself, is the Higgs mechanism. All of space covered by some sort of field called the Higgs field. Just like EM field has photon associated with it, the particle associated with the Higgs field is the Higgs boson For the Higgs mechanism to work => Higgs Field On 4 July 2012, CERN found Higgs Boson => proves standard model
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Leptons Present structure has 6 leptons: electron, muon, tau, and their associated neutrinos Leptons have negative charge and a distinct mass, whereas their neutrinos have a neutral charge Leptons interact only via the electromagnetic force carrier, the photon. Leptons DO NOT participate in the strong interaction. Quarks react to both the gluon and the photon. Leptons and quarks also react to gravitons.
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Feynman Diagrams Depict particle interactions using series of arrows to show the paths of the particles involved Particles are represented with straight arrows Exchange (force) particles are represented with either wavy lines (photons, W+, W- and Z0), or curly lines (gluons).
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Feynman Diagrams Conservation Laws Particles before Charge
Particles after Exchange particles Conservation Laws Charge Baryon number Lepton number This will be about bookkeeping
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Feynman Diagrams The area to the left of the vertex represents before the interaction, the area to the right represents after the interaction. E- repulsion Explain space-time axes in this term
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Incoming e- absorbs photon to produce more energetic e-
More energetic e- emits photon and less energetic e-
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Feynman Diagrams The area to the left of the vertex represents before the interaction, the area to the right represents after the interaction. Observable particles are represented by straight lines with arrows pointing to the right. Antiparticles are represented by arrows to the left, even though all particles are always considered to be moving from left to right.
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There is always one arrow pointing into a vertex and one arrow pointing away.
Unobservable exchange particles are represented by curly lines, without arrows. The change in orientation of a line signifies that the motion of the particle has changed. Each vertex joins two straight lines and typically one curly line. The conservation laws can be applied to the interaction represented by a single vertex.
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Pair production
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Pair Annihilation e+ e-
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Feynman Diagram Example
Explain what has happened in this Feynman diagram. The up quark of a proton (uud) emits a gluon. The gluon decays into a down quark and an anti-down quark. Quarks cannot exist by themselves. Thus the two quarks produced above will quickly annihilate. Circle uud to show proton
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Feynman Diagram Rules Particles - straight lines with arrows pointing upwards Anti-particles - straight lines with arrows pointing downwards Electrons (Electromagnetic Force) - wavy lines Gluons (Strong Force) - looped lines Bosons (Weak Force) - dashed lines Time is measured vertically(sometimes horizontally) Space is measured horizontally(sometimes vertically) Charge is conserved at each junction Baryon number is conserved at each junction
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