Waves on a String
(a) Waves on a string have a wavelength related to the length of the string, allowing them to interfere constructively. (b) If we imagine the string bent into a closed circle, we get a rough idea of how electrons in circular orbits can interfere constructively. (c) If the wavelength does not fit into the circumference, the electron interferes destructively; it cannot exist in such an orbit.
Source
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"OpenStax College, The Wave Nature of Matter Causes Quantization. January 28, 2013."
http://cnx.org/content/m42606/latest/
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