Quantized States - QuantizedStates

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Quantized States You may be wondering how does all this about wave-particle duality relates to the  electronic structure of the atom. To begin answering that question let's look at an  analogy between the standing waves I can set up with a vibrating string, and an electron  trapped between two walls. An important property of standing waves is you can't have any frequency you want  because ends are fixed. When the ends are fixed only certain discrete wavelengths  (frequencies) are allowed (which depend on the length of the string).
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nodes  are where the wave function changes from positive to negative (ends don't  count!). The  lowest frequency is called the  fundamental  or first harmonic and has no  nodes. The next frequency is the second harmonic and has one node; it is twice the  fundamental frequency. You can keep going, increasing the number of nodes, and 
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Quantized States - QuantizedStates

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