Chapter 38 and Chapter 39
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1 Chapter 38 and Chapter 39
2 State of 19th and very early 20th century physics: Light: 1. E&M Maxwell s equations > waves; J. J. Thompson s double slit experiment with light 2. Does light need a medium? > > Aether and Michelson MoreleyMoreley experiment 1 and 2 lead to Relativity, Detected in discrete lumps > photoelectric effect concept of photons 4. Black Body radiation spectrum Planck's proposition that energy is quantized 5. Gas discharge tube produces discrete line spectrum which depends upon atoms vs. black body radiation (incandescence) continuous spectrum 6. Emission spectra of hydrogen fairly simple (Balmer formula)
3 State of 19th and early 20th century physics: Matter: 1. J. J. Thompson measures q/m of 'cathode rays' > crossed field experiment 2. J. J. Thompson used Rontgen's x rays to to ionize helium, and the same q/m produced; Also e/m from hot wire same q/m > q=e, atoms composed of subatomic particles called 'electrons 3. J. J. Thompson measures the q/m ratio of hydrogen ion which is MUCH smaller than electron 4. Millikan oil drop experiment: measures discrete charge e > e of electron ( & m of electron) 5. Rutherford, uranium decay produces beta rays (high speed electrons) and alpha rays ; alpha rays trapped in gas discharge tube and produced same discrete spectrum as Helium + measurement of q/m of alpha > double ionized He ions; Uranium emitting other particles, He and electrons 6. Rutherford s foil experiment, fires doubly ionized He at gold foil, most go through by some bounce back > requires positively charged, heavy centers in gold foil > nucleus surrounded by 'orbiting' electrons; Deduces the rough diameter of nucleus ~ 10 fm (10^ 15 m) , J. J. Thompson develops mass spectrometer > same element has different masses; first evidence of 'something else' besides electrons and positively charged atoms, leading to the discrovery of neutrons
4 State of 19th and early 20th century physics: Some major as yet unsolved problems: Rutherford nuclear model: 1. accelerating electrons should emit E&M radiation losing energy and spiral into nucleus 2. should emit and absorb continuous spectrum (not discrete) Planck s black body radiation required discrete energies and could not be explained by classical physics, what was viewed as a mathematical trick at the time (later to be viewed as a physical phenomena) Ejection of electrons from a material from impinging E&M radiation dependent upon frequency, not intensity.
5 State of 19th and early 20th century physics: Matter: 1. J. J. Thompson measures q/m of 'cathode rays' > crossed field experiment 2. J. J. Thompson used Rontgen's x rays to to ionize helium, and the same q/m produced; Also e/m from hot wire same q/m > q=e, atoms composed of subatomic particles called 'electrons 3. J. J. Thompson measures the q/m ratio of hydrogen ion which is MUCH smaller than electron 4. Millikan oil drop experiment: measures discrete charge e > e of electron ( & m of electron) 5. Rutherford, uranium decay produces beta rays (high speed electrons) and alpha rays ; alpha rays trapped in gas discharge tube and produced same discrete spectrum as Helium + measurement of q/m of alpha > double ionized He ions; Uranium emitting other particles, He and electrons 6. Rutherford s foil experiment, fires doubly ionized He at gold foil, most go through by some bounce back > requires positively charged, heavy centers in gold foil > nucleus surrounded by 'orbiting' electrons; Deduces the rough diameter of nucleus ~ 10 fm (10^ 15 m) , J. J. Thompson develops mass spectrometer > same element has different masses; first evidence of 'something else' besides electrons and positively charged atoms, leading to the discrovery of neutrons
6 J. J. Thompson s measurement of e/m
7
8 State of 19th and early 20th century physics: Matter: 1. J. J. Thompson measures q/m of 'cathode rays' > crossed field experiment 2. J. J. Thompson used Rontgen's x rays to to ionize helium, and the same q/m produced; Also e/m from hot wire same q/m > q=e, atoms composed of subatomic particles called 'electrons 3. J. J. Thompson measures the q/m ratio of hydrogen ion which is MUCH smaller than electron 4. Millikan oil drop experiment: measures discrete charge e > e of electron ( & m of electron) 5. Rutherford, uranium decay produces beta rays (high speed electrons) and alpha rays ; alpha rays trapped in gas discharge tube and produced same discrete spectrum as Helium + measurement of q/m of alpha > double ionized He ions; Uranium emitting other particles, He and electrons 6. Rutherford s foil experiment, fires doubly ionized He at gold foil, most go through by some bounce back > requires positively charged, heavy centers in gold foil > nucleus surrounded by 'orbiting' electrons; Deduces the rough diameter of nucleus ~ 10 fm (10^ 15 m) , J. J. Thompson develops mass spectrometer > same element has different masses; first evidence of 'something else' besides electrons and positively charged atoms, leading to the discrovery of neutrons
9 Millikan s Oil drop experiment: Measuring quantized q
10 Millikan s Oil drop experiment: Measuring quantized q
11
12 Measured:
13 State of 19th and early 20th century physics: Matter: 1. J. J. Thompson measures q/m of 'cathode rays' > crossed field experiment 2. J. J. Thompson used Rontgen's x rays to to ionize helium, and the same q/m produced; Also e/m from hot wire same q/m > q=e, atoms composed of subatomic particles called 'electrons 3. J. J. Thompson measures the q/m ratio of hydrogen ion which is MUCH smaller than electron 4. Millikan oil drop experiment: measures discrete charge e > e of electron ( & m of electron) 5. Rutherford, uranium decay produces beta rays (high speed electrons) and alpha rays ; alpha rays trapped in gas discharge tube and produced same discrete spectrum as Helium + measurement of q/m of alpha > double ionized He ions; Uranium emitting other particles, He and electrons 6. Rutherford s foil experiment, fires doubly ionized He at gold foil, most go through by some bounce back > requires positively charged, heavy centers in gold foil > nucleus surrounded by 'orbiting' electrons; Deduces the rough diameter of nucleus ~ 10 fm (10^ 15 m) , J. J. Thompson develops mass spectrometer > same element has different masses; first evidence of 'something else' besides electrons and positively charged atoms, leading to the discrovery of neutrons
14 Rutherford Back scattering: discovery of nucleus Uranium radioactive decay beta rays (electrons) and alpha rays (doubly ionized Helium = 2 protons, 2 neutrons) Use ballistics of particle rays to probe atomic structure: t Fire alpha rays at a sheet of gold foil Statistics of small number of back-scattering events suggested massive tiny cores of positive charge surrounded by negative charge Deduced the size of the nucleus: 10 fm (1 fm = 10^ m)
15 State of 19th and early 20th century physics: Some major as yet unsolved problems: Rutherford nuclear model: 1. accelerating electrons should emit E&M radiation losing energy and spiral into nucleus 2. should emit and absorb continuous spectrum (not discrete) Planck s black body radiation required discrete energies and could not be explained by classical physics, what was viewed as a mathematical trick at the time (later to be viewed as a physical phenomena) Ejection of electrons from a material from impinging E&M radiation dependent upon frequency, not intensity.
16 State of 19th and early 20th century physics: Matter: 1. J. J. Thompson measures q/m of 'cathode rays' > crossed field experiment 2. J. J. Thompson used Rontgen's x rays to to ionize helium, and the same q/m produced; Also e/m from hot wire same q/m > q=e, atoms composed of subatomic particles called 'electrons 3. J. J. Thompson measures the q/m ratio of hydrogen ion which is MUCH smaller than electron 4. Millikan oil drop experiment: measures discrete charge e > e of electron ( & m of electron) 5. Rutherford, uranium decay produces beta rays (high speed electrons) and alpha rays ; alpha rays trapped in gas discharge tube and produced same discrete spectrum as Helium + measurement of q/m of alpha > double ionized He ions; Uranium emitting other particles, He and electrons 6. Rutherford s foil experiment, fires doubly ionized He at gold foil, most go through by some bounce back > requires positively charged, heavy centers in gold foil > nucleus surrounded by 'orbiting' electrons; Deduces the rough diameter of nucleus ~ 10 fm (10^ 15 m) , J. J. Thompson develops mass spectrometer > same element has different masses; first evidence of 'something else' besides electrons and positively charged atoms, leading to the discrovery of neutrons
17 J. J. Thompson s mass spectrometer: First evidence of neutron
18 J. J. Thompson s mass spectrometer: First evidence of neutron Discovery of isotopes
19 Some definitions Dfiii Definition of ev: energy required to move 1 electron across 1 V = 1.6 x 10^ 19 J atomic number: number of electrons or protons, Z Mass number: AZNN A=Z+N, N is the number of neutrons
20 State of 19th and very early 20th century physics: Light: 1. E&M Maxwell s quations > waves; J. J. Thompson s double slit experiment with light 2. Does light need a medium? > > Aether and Michelson MoreleyMoreley experiment 1 and 2 lead to Relativity, Detected in discrete lumps > photoelectric effect concept of photons 4. Black Body radiation spectrum Planck's proposition that energy is quantized 5. Gas discharge tube produces discrete line spectrum which depends upon atoms vs. black body radiation (incandescence) continuous spectrum 6. Emission spectra of hydrogen fairly simple (Balmer formula)
21 Einstein s photon postulate Note: Postulate includes that energy of E&M wave is quantized!
22 State of 19th and very early 20th century physics: Light: 1. E&M Maxwell s equations > waves; J. J. Thompson s double slit experiment with light 2. Does light need a medium? > > Aether and Michelson MoreleyMoreley experiment 1 and 2 lead to Relativity, Detected in discrete lumps > photoelectric effect concept of photons 4. Black Body radiation spectrum Planck's proposition that energy is quantized 5. Gas discharge tube produces discrete line spectrum which depends upon atoms vs. black body radiation (incandescence) continuous spectrum 6. Emission spectra of hydrogen fairly simple (Balmer formula)
23 Proof of photons: Photoelectric effect
24 Proof of photons: Photoelectric effect
25 Proof of photons: Photoelectric effect
26
27
28 State of 19th and very early 20th century physics: Light: 1. E&M Maxwell s equations > waves; J. J. Thompson s double slit experiment with light 2. Does light need a medium? > > Aether and Michelson MoreleyMoreley experiment 1 and 2 lead to Relativity, Detected in discrete lumps > photoelectric effect concept of photons 4. Black Body radiation spectrum Planck's proposition that energy is quantized 5. Gas discharge tube produces discrete line spectrum which depends upon atoms vs. black body radiation (incandescence) continuous spectrum 6. Emission spectra of hydrogen fairly simple (Balmer formula)
29 More proof of quantization of energy: Planck s Black body radiation
30 More proof of quantization of energy: Planck s Black body radiation
31 State of 19th and very early 20th century physics: Light: 1. E&M Maxwell s equations > waves; J. J. Thompson s double slit experiment with light 2. Does light need a medium? > > Aether and Michelson MoreleyMoreley experiment 1 and 2 lead to Relativity, Detected in discrete lumps > photoelectric effect concept of photons 4. Black Body radiation spectrum Planck's proposition that energy is quantized 5. Gas discharge tube produces discrete line spectrum which depends upon atoms vs. black body radiation (incandescence) continuous spectrum 6. Emission spectra of hydrogen fairly simple (Balmer formula)
32 More proof of quantization of energy: Hydrogen atom (see chapter 25) Hot objects emit light at all frequencies (sun, light bulbs). Called Planck s Black Body radiation spectrum --- more about this later. Gas discharge tube --- different elements emit different discrete spectrum Classical Newtonian mechanics can not explain discrete spectrum!
33 More proof of quantization of energy: Hydrogen atom (see chapter 25)
34 More proof of quantization of energy: Hydrogen atom (see chapter 25)
35 De Broglie wavelength for matter Like Einstein s photon postulate
36 Matter waves confined --- Quantum Corral (particle(s) in a box)
37 Matter wave confined --- Review of standing waves Chapter 21
38 Matter wave confined --- Review of standing waves Chapter 21
39 Matter wave confined --- Review of standing waves Chapter 21
40 Matter wave confined --- Review of standing waves Chapter 21
41 Matter wave confined --- particle in a box
42
43 Bohr model of atom: Semiclassical approach to hydrogen
44
45
46 Bohr model of atom: Semiclassical approach to hydrogen
47 Bohr model of atom: Semiclassical approach to hydrogen
48 Bohr model of atom: Semiclassical approach to hydrogen
49
50 Bohr model of atom: Semiclassical approach to hydrogen Quantization of angular momentum
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