Chapter 38 and Chapter 39

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Transcription:

Chapter 38 and Chapter 39

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, 1905 3. 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)

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) 7. 1910, 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

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.

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) 7. 1910, 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

J. J. Thompson s measurement of e/m

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) 7. 1910, 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

Millikan s Oil drop experiment: Measuring quantized q

Millikan s Oil drop experiment: Measuring quantized q

Measured:

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) 7. 1910, 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

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^-15 15 m)

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.

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) 7. 1910, 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

J. J. Thompson s mass spectrometer: First evidence of neutron

J. J. Thompson s mass spectrometer: First evidence of neutron Discovery of isotopes

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

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, 1905 3. 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)

Einstein s photon postulate Note: Postulate includes that energy of E&M wave is quantized!

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, 1905 3. 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)

Proof of photons: Photoelectric effect

Proof of photons: Photoelectric effect

Proof of photons: Photoelectric effect

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, 1905 3. 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)

More proof of quantization of energy: Planck s Black body radiation

More proof of quantization of energy: Planck s Black body radiation

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, 1905 3. 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)

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!

More proof of quantization of energy: Hydrogen atom (see chapter 25)

More proof of quantization of energy: Hydrogen atom (see chapter 25)

De Broglie wavelength for matter Like Einstein s photon postulate

Matter waves confined --- Quantum Corral (particle(s) in a box)

Matter wave confined --- Review of standing waves Chapter 21

Matter wave confined --- Review of standing waves Chapter 21

Matter wave confined --- Review of standing waves Chapter 21

Matter wave confined --- Review of standing waves Chapter 21

Matter wave confined --- particle in a box

Bohr model of atom: Semiclassical approach to hydrogen

Bohr model of atom: Semiclassical approach to hydrogen

Bohr model of atom: Semiclassical approach to hydrogen

Bohr model of atom: Semiclassical approach to hydrogen

Bohr model of atom: Semiclassical approach to hydrogen Quantization of angular momentum