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BYU - PHY S 100 - Class Notes - Week 9

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BYU - PHY S 100 - Class Notes - Week 9

School: Brigham Young University
Department: OTHER
Course: Physical Science
Professor: Patricia Ackroyd
Term: Spring 2017
Tags: matter, duality, Probability, and Heisenberg uncertainty principle
Name: Chapter 15, Week 9 Notes
Description: Duality of Matter
Uploaded: 10/30/2017
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background image Chapter 15: Duality of Matter    
Wave Nature of Matter 
•  Louis de Broglie: proposed that, like light, matter also have wave-particle duality (behaves like a 
wave and like a particle) 
•  The wavelength of matter:  W = h / p  H = Planck's constant 
P = momentum of wave 
•  Matter's wave-like properties are only noticeable on a microscopic level  •  Quantum mechanics: study of light and matter's wave properties     Experiments  •  1927: Clinton Davisson and Lester Germer test Broglie's hypothesis by sending electrons through a 
crystal 
If particle: electrons would cluster on other side without interfering with other electron 
clusters 
If wave: electrons diffract through gaps between atoms and interfere with other electron 
waves 
Results: the electrons acted like waves and showed an interference pattern on the other 
side (proving Broglie's hypothesis) 
   Probability Waves  •  These electron interference waves allow us to predict how likely the electron particles will hit 
different locations 
•  Probability wave: moves with time; high wave= high concentration of electron particles, most 
likely area where we'd find particles at a given moment in time 
Constructive interference: high probability  Destructive interference: low probability  •  We can make an educated guess about where electrons will be based on our probability curve     Heisenberg Uncertainty Principle  •  We can use the probability curve for electron's position to know the probability curves for 
electron's momentum and energy too! 
•  Uncertainty principle: it's impossible to determine electron's position and momentum at the same 
time 
It's easy to determine the position of electrons if the hole it's passing through is small. If the 
beam of photons is wide-spread, it's harder to figure out the momentum of the particles. 
When the beam is consolidated, it's easier to measure the momentum.  
•  Position uncertainty is inversely related to momentum uncertainty    

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School: Brigham Young University
Department: OTHER
Course: Physical Science
Professor: Patricia Ackroyd
Term: Spring 2017
Tags: matter, duality, Probability, and Heisenberg uncertainty principle
Name: Chapter 15, Week 9 Notes
Description: Duality of Matter
Uploaded: 10/30/2017
2 Pages 27 Views 21 Unlocks
  • Better Grades Guarantee
  • 24/7 Homework help
  • Notes, Study Guides, Flashcards + More!
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