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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  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
an electron is limited ...

...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∏]

 Angular momentum (mvr) is restricted to whole number multiples  of h/2∏  Limitations  