- #1
copernicus1
- 99
- 0
Hi
I know that in the Bohr model, electrons move between energy levels, but you don't hear much about the electron's wavelength at each particular level. If we assume the orbits contain an integer multiple of wavelengths, you get the usual $$2\pi r=n\lambda,$$ so, based on the expression for the Bohr radius, the wavelength at each level should be $$\lambda_n=\frac{2\pi r}{n}=\frac{2\pi n\hbar}{m_ec\alpha}.$$ Does anyone know if this a standard part of the theory? I've just never assumed the wavelength had to be fixed at each energy level, but that seems reasonable if each level has a fixed energy.
Thanks
I know that in the Bohr model, electrons move between energy levels, but you don't hear much about the electron's wavelength at each particular level. If we assume the orbits contain an integer multiple of wavelengths, you get the usual $$2\pi r=n\lambda,$$ so, based on the expression for the Bohr radius, the wavelength at each level should be $$\lambda_n=\frac{2\pi r}{n}=\frac{2\pi n\hbar}{m_ec\alpha}.$$ Does anyone know if this a standard part of the theory? I've just never assumed the wavelength had to be fixed at each energy level, but that seems reasonable if each level has a fixed energy.
Thanks