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Structure of Matter
  Two years of Physics in one hour
Structure Of Matter
Structure Of Matter
A lump of coal
Mass is the ability of an
object to resist acceleration




    Force = mass x acceleration
Mass is also the force
felt from gravity (weight)
Coal is made of Carbon atoms
Structure Of Matter
Mass = 2×10-29 kg

    ≡12 amu
How much force is needed to
accelerate a carbon atom to

 Mass of Carbon Atom: 2×10-26kg

 Speed of light: 3×108 meters/sec (m/s)

 Acceleration = Δv/Δt= 3×108 m/sec/sec
 (m/s2)

 Force = m a = 2×10-26kg × 3×108 m/s2
Structure Of Matter
Objects are made out of atoms
Mass is the ability to resist acceleration
Scientific notation lets us work with the very large and very small
Structure Of Matter
The nucleus is very small
        –




                            –
 +          +
Structure Of Matter
Frequency = number of cycles per sec
Structure Of Matter
O shell

                                N shell


                                M shell


                                 L shell
     Pauli Exclusion principle:
at most two electrons in each level
                                K shell
Structure Of Matter
Structure Of Matter
Structure Of Matter
Energy of
emitted photon    1 neV   1µeV   1meV   1eV   1keV   1MeV   1GeV
           (eV)
Objects are made out of atoms
 Mass is the ability to resist acceleration
 Scientific notation lets us work with the very large and very small




  Electrons on the outsides of atoms give all the chemical properties
  Electrons live in standing wave states each with a particular energy/
frequency
  No more than two electrons in each state
  Putting energy into an atom can raise an electron to a high state
  An electron falling to a low state releases a characteristic photon
with a defined energy
  With massive atoms, these characteristic photons can be in the 100
keV medical interest range.
Structure Of Matter
Structure Of Matter
A=Z+N
               Symbol also gives
        12
         6C6  number of protons

Z: number of protons
N: number of neutrons
Nuclear Shell Model



                      pnpnpnpnpnpn
                      pnpnpnpnpnpn


                          pnpn
                      pnpnpnpn


                           pnpn
Nuclear Shell Model
• Nuclei should have about         pppppp
 the same number of
 protons and neutrons
                                pppppp
                             pnpnpnpnpnpn


                                 pnpn
                             pnpnpnpn


                                  pnpn
Nuclear Shell Model
• Nuclei should have about
 the same number of
 protons and neutrons         pnpnpnpnpnpn

• Nuclei with magic numbers   pnpnpnpnpnpn
 of protons or neutrons are
 more stable
                                  pnpn
• Nuclei with even numbers    pnpnpnpn
 of protons and neutrons
 are more stable
                                   pnpn
Nuclear Shell Model
• Nuclei should have about                 n
    the same number of
    protons and neutrons         pnpnpnpnpnp

• Nuclei with magic numbers      pnpnpnpnpnpn
    of protons or neutrons are
    more stable
                                     pnpn
• Nuclei with even numbers       pnpnpnpn
    of protons and neutrons
    are more stable
                                       pnpn
•   Nuclei can be excited
Structure Of Matter
Structure Of Matter
Structure Of Matter
Heavy nuclei tend to have
more neutrons than protons
–




            –
+       +
Nucleus is held together
  by “Strong Force”
Strong force must be
stronger than
electric repulsion
between protons
Neutrons and
protons both make
strong force
Structure Of Matter
Is the mass of a nucleus
    the sum of its parts?

 +         +       m=1.0073×2



                   m=1.0087×2          m=4.0026


total=4.0320 amu                difference = .0302 amu
Structure Of Matter
Attraction between neighboring nuclei
         Surface tension
                  Repulsion between positive protons
                          Same number of protons as neutrons
Objects are made out of atoms
 Mass is the ability to resist acceleration
 Scientific notation lets us work with the very large and very small


  Electrons on the outsides of atoms give all the chemical properties
  Electrons live in standing wave states each with a particular energy/
frequency
  No more than two electrons in each state
  Putting energy into an atom can raise an electron to a high state
  An electron falling to a low state releases a characteristic photon
with a defined energy
  With massive atoms, these characteristic photons can be in the 100
keV medical interest range.

 Z=protons, N=neutrons, A=N+Z, 12C has 6 neutrons, 14C has 8.
 Shell model explains why N≳Z, shell bands
 Strong force holds nuclei together
 Nuclei have less mass than constituent protons and neutrons. The
difference is the binding energy.
 Liquid drop model part of semi empirical mass formula, explains
binding energy with contributions from strong force interactions,
surface tension, electric repulsion from protons, N~Z
Objects are made out of atoms
 Mass is the ability to resist acceleration
 Scientific notation lets us work with the very large and very small


  Electrons on the outsides of atoms give all the chemical properties
  Electrons live in standing wave states each with a particular energy/
frequency
  No more than two electrons in each state
  Putting energy into an atom can raise an electron to a high state
  An electron falling to a low state releases a characteristic photon
with a defined energy
  With massive atoms, these characteristic photons can be in the 100
keV medical interest range.

 Z=protons, N=neutrons, A=N+Z, 12C has 6 neutrons, 14C has 8.
 Shell model explains why N≳Z, shell bands
 Strong force holds nuclei together
 Nuclei have less mass than constituent protons and neutrons. The
difference is the binding energy.
 Liquid drop model part of semi empirical mass formula, explains
binding energy with contributions from strong force interactions,
surface tension, electric repulsion from protons, N~Z

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Structure Of Matter

  • 1. Structure of Matter Two years of Physics in one hour
  • 4. A lump of coal
  • 5. Mass is the ability of an object to resist acceleration Force = mass x acceleration
  • 6. Mass is also the force felt from gravity (weight)
  • 7. Coal is made of Carbon atoms
  • 9. Mass = 2×10-29 kg ≡12 amu
  • 10. How much force is needed to accelerate a carbon atom to Mass of Carbon Atom: 2×10-26kg Speed of light: 3×108 meters/sec (m/s) Acceleration = Δv/Δt= 3×108 m/sec/sec (m/s2) Force = m a = 2×10-26kg × 3×108 m/s2
  • 12. Objects are made out of atoms Mass is the ability to resist acceleration Scientific notation lets us work with the very large and very small
  • 14. The nucleus is very small – – + +
  • 16. Frequency = number of cycles per sec
  • 18. O shell N shell M shell L shell Pauli Exclusion principle: at most two electrons in each level K shell
  • 22. Energy of emitted photon 1 neV 1µeV 1meV 1eV 1keV 1MeV 1GeV (eV)
  • 23. Objects are made out of atoms Mass is the ability to resist acceleration Scientific notation lets us work with the very large and very small Electrons on the outsides of atoms give all the chemical properties Electrons live in standing wave states each with a particular energy/ frequency No more than two electrons in each state Putting energy into an atom can raise an electron to a high state An electron falling to a low state releases a characteristic photon with a defined energy With massive atoms, these characteristic photons can be in the 100 keV medical interest range.
  • 26. A=Z+N Symbol also gives 12 6C6 number of protons Z: number of protons N: number of neutrons
  • 27. Nuclear Shell Model pnpnpnpnpnpn pnpnpnpnpnpn pnpn pnpnpnpn pnpn
  • 28. Nuclear Shell Model • Nuclei should have about pppppp the same number of protons and neutrons pppppp pnpnpnpnpnpn pnpn pnpnpnpn pnpn
  • 29. Nuclear Shell Model • Nuclei should have about the same number of protons and neutrons pnpnpnpnpnpn • Nuclei with magic numbers pnpnpnpnpnpn of protons or neutrons are more stable pnpn • Nuclei with even numbers pnpnpnpn of protons and neutrons are more stable pnpn
  • 30. Nuclear Shell Model • Nuclei should have about n the same number of protons and neutrons pnpnpnpnpnp • Nuclei with magic numbers pnpnpnpnpnpn of protons or neutrons are more stable pnpn • Nuclei with even numbers pnpnpnpn of protons and neutrons are more stable pnpn • Nuclei can be excited
  • 34. Heavy nuclei tend to have more neutrons than protons
  • 35. – + +
  • 36. Nucleus is held together by “Strong Force” Strong force must be stronger than electric repulsion between protons Neutrons and protons both make strong force
  • 38. Is the mass of a nucleus the sum of its parts? + + m=1.0073×2 m=1.0087×2 m=4.0026 total=4.0320 amu difference = .0302 amu
  • 40. Attraction between neighboring nuclei Surface tension Repulsion between positive protons Same number of protons as neutrons
  • 41. Objects are made out of atoms Mass is the ability to resist acceleration Scientific notation lets us work with the very large and very small Electrons on the outsides of atoms give all the chemical properties Electrons live in standing wave states each with a particular energy/ frequency No more than two electrons in each state Putting energy into an atom can raise an electron to a high state An electron falling to a low state releases a characteristic photon with a defined energy With massive atoms, these characteristic photons can be in the 100 keV medical interest range. Z=protons, N=neutrons, A=N+Z, 12C has 6 neutrons, 14C has 8. Shell model explains why N≳Z, shell bands Strong force holds nuclei together Nuclei have less mass than constituent protons and neutrons. The difference is the binding energy. Liquid drop model part of semi empirical mass formula, explains binding energy with contributions from strong force interactions, surface tension, electric repulsion from protons, N~Z
  • 42. Objects are made out of atoms Mass is the ability to resist acceleration Scientific notation lets us work with the very large and very small Electrons on the outsides of atoms give all the chemical properties Electrons live in standing wave states each with a particular energy/ frequency No more than two electrons in each state Putting energy into an atom can raise an electron to a high state An electron falling to a low state releases a characteristic photon with a defined energy With massive atoms, these characteristic photons can be in the 100 keV medical interest range. Z=protons, N=neutrons, A=N+Z, 12C has 6 neutrons, 14C has 8. Shell model explains why N≳Z, shell bands Strong force holds nuclei together Nuclei have less mass than constituent protons and neutrons. The difference is the binding energy. Liquid drop model part of semi empirical mass formula, explains binding energy with contributions from strong force interactions, surface tension, electric repulsion from protons, N~Z