λ=h mv m v T)1/ - Pennsylvania State...
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CHEM 408 – Sp06 2/22/2006 1 Worksheet #5 – Some Basic Quantum Mechanics Team #: _______ Manager: _____________________________________ Class Period: Recorder: _____________________________________ Resources: Speaker: _____________________________________ Analyst: _____________________________________ 1. What does the oscillatory probability pattern in the 2-slit experiment performed with electrons imply about the nature of electrons? 2. Why do you think that the outcome of the 2-slit experiment depends on whether you can tell which slit an electron traverses or not? 3. DeBroglie postulated that all particles have associated with them a “pilot wave” of wavelength mv h / = λ where m is the particle’s mass and v its velocity. For Ne atoms and electrons having thermal energies appropriate to room temperature ( ( ) 2 / 1 3 T mk mv B = ) the wavelengths are 3×10 -11 m and 6×10 -9 m respectively. Why does this imply that electrons must be treated quantum mechanically whereas Ne atoms behave classically?
Transcript of λ=h mv m v T)1/ - Pennsylvania State...
CHEM 408 – Sp06 2/22/2006
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Worksheet #5 – Some Basic Quantum Mechanics Team #: _______ Manager: _____________________________________ Class Period: Recorder: _____________________________________ Resources: Speaker: _____________________________________ Analyst: _____________________________________ 1. What does the oscillatory probability pattern in the 2-slit experiment performed with electrons imply
about the nature of electrons? 2. Why do you think that the outcome of the 2-slit experiment depends on whether you can tell which slit
an electron traverses or not? 3. DeBroglie postulated that all particles have associated with them a “pilot wave” of wavelength
mvh /=λ where m is the particle’s mass and v its velocity. For Ne atoms and electrons having thermal energies appropriate to room temperature ( ( ) 2/13 Tmkmv B= ) the wavelengths are 3×10-11 m and 6×10-9 m respectively. Why does this imply that electrons must be treated quantum mechanically whereas Ne atoms behave classically?
CHEM 408 – Sp06 2/22/2006
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n. At the right are photographs of a drum onto which
black powder sand has been uniformly sprinkled and the drum then beaten. What are the patterns formed, and what (if anything) do they have to do with the hydrogen atom? [Photo from D. A. McQuarrie, Quantum Chemistry (University Science Books, 1983)].
