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Nuclear Physics Review &
 Interactions in Matter
   Nuclear Medicine 4327
Overview
Part 1:
Nuclear Physics
 -Types of decay and decay
 equations

Part 2:
Interactions of Radiation in Matter
  -Ionizing radiations, particles vs.
  photons
Nomenclature
NUCLIDES – Unique Z and N
 ISOTOPES – Same Z, Different N C-13, C-
                               C-12,
                               14, etc.
ISOTONES – Different Z, Same N

ISOBARS – Same A


Z = Proton #
N = Neutron #
A = Mass #
Nuclear Stability
1500
Nuclides
280 Stable




 Excess Energy
 Particle Arrangement
Stable Nuclides
248 Stable IN NATURE requires paired
Stability generally
protons, paired neutrons, or paired
p’sunpaired
    and n’s
   paired                    unpaired
                             paired
   proton
   protons                   neutron
                             neutrons
          Sn has 10 stable isotopes
Nuclear Stability




                     metasta   excite
Stable groun
       d             ble       d      Unstab
                     state     state
       state                             le
     metastable > 1 picosecond >
     excited
     metastable = ISOMERIC
Isomers
Same nuclide, higher energy level




  Metastable
Line of Equal #
protons &
neutrons



            Need more neutrons to
            hold together larger
            # of protons
Radioactive Decay
Gamma ray transitions     UNSTABLE
   Beta Decay
       positron decay
       electron capture
   Alpha Decay            STABLE
Alpha Decay
Large nucleus size =
unstable



Charged           4
                   H
Large             2e
DAMAGING
Beta [β-] Decay


                      Nuclide X ->
                      Nuclide Y
          -
      +
                          Y is z+1, A+0



Gain in + charge
Beta Decay
A         A
    X         Y   + β-     +ν
Z         Z+1
                         Excess
                         Energy
                         antineutrino
              No mass
              No Charge
              No interaction w/
              matter
Beta Decay
   Max energy of the beta is well-
   defined decay energy
       Q=     DECAY BETA
           “TYPICAL”EMITTERS
          PURE BETA
              ENERGY
           DECAY
       Q = Parent Energy – Daughter
       Energy
          Excited State
     beta               antineutrin
                beta
                        o

0 keV      max excited
           Ground State
             Less
           keV                 gamma
 Avg. Energy = 1/3 Emax
            Ground State
Positron [β+] Decay

                     X -> Y
                     Y is z- 1, A+0
          +




MUST HAVE AT LEAST
Positron Decay
Well defined max Energy
Energy shared between B+ and
neutrino
Avg 511 keV?
    B+ energy is 1/3 Emax
       +


      positron
Electron Capture
What if there’s excess (+) charge, but
nuclear energy < 1.022 MeV?



                         Excited State
                             -
Positron vs. Electron Capture
EQUATIONS:
Positron & Electron
CaptureA+
  X -> Y
       0
      z-1
 p -> n
Positron vs. Electron Capture

Energy
required

             for B+ decay
Gamma Decay

= energy released FROM
NUCLEUS




            Following other
            decays
            Metastable states
Excited vs. Isomeric


Groun     Excited   1 ps   Isomeri 2 ps
d
                           c
State

Nuclear configuration never changes,
only energy
Gamma vs. X-Ray




                  X-Ray
 Gamm
 a
Gamma vs. X-Rays
GAMMA
Nuclear energy transitions
Matter/Anti-matter annihilation

X-RAYS
Bremsstrahlung
Characteristic
X-Rays

            1 keV 2 keV




Electron Capture
Internal Conversion




     Internal conversion
     Characteristic x-ray
     electron
Internal Conversion vs. Gamma
    Excited
    Nucleus

                   Internal
Gamma?
                   Conversion?

 Long Isomeric state =
 I.C.
 Higher Z = I.C.
Decay Modes vs. Stability Line

   Proton
   Rich
 excess (+)
 charge


               deficient
               (+)
               charge
        aka Neutron Rich
Decay Schemes
Decay Mode            Parent vs.
                      Daughter




Energ
y

             Atomic
             Number (Z)
Decay Schemes
Alpha
[α]

      Z–2           Z–1           Z–1
                    Electron
                    Capture        Positro
                    [EC]           n [β+]




Beta [β-]                           Gamma
                                    [γ]
            Z+1
Abundance, Branching Fraction, Yield
Energy Diagrams/Decay Schemes
  X
  β-          β-
         β-
 z+1 Y
               z+1Y      137
                           Cs            Emax = 0.51 MeV
                                         β-2
                         55              95%
                        β-1
                      Emax = 1.17 MeV            = 0.662
                                    5%
                                                    MeV
                                          137
                                             Ba
                                          56
Image References
•   http://ec.europa.eu/dgs/jrc/index.cfm?id=1410&obj_id=6530&dt_code=NWS&lang=en
•   http://www.nucleonica.net:81/wiki/index.php/Help:Karlsruhe_Nuclide_Chart
•   http://fys246.nuclear.lu.se/topics.asp
•   http://www.cortlandschools.org/buildings/jshs/science/chem/honors/atomicconcepts2/index.htm
•   http://www.sr.bham.ac.uk/xmm/fmc2.html

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Physics fs2009