Why Are Electron Energies Limited?
Electron standing waves and the origin of allowed energy levels
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Why were electrons limited
Electron Standing Waves
School blocks YouTube? Use the file below. St. Mary's U. Astronomy and Physics Dept.
1. An electron is a standing wave. (A bound wave)
5 wavelengths
4 wavelengths
3 wavelengths
2 wavelengths
2. Circular standing waves can only be a whole number of wavelengths
Monterey Institute for Technology and Education
3. Limited wavelengths mean limited possible energies
Possible Electron Circumferences
= 2∏r = nλ
where n = 1,2,3,4 etc
Wavelength - describes probability of finding an electron at particular position.
Electron is a wave circled in on itself This standing wave has four cycles
The angular (circular) momentum of
...because a circular electron wave must be a whole number of wavelengths
Then C = 2(∏)r = nλ
where n = 1,2,3,4 etc
And λ = h/p = h/mv
Then … 2(∏)r = nh/mv
Angular Momentum = mvr = n[h/2∏]
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