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Angles of sp3 Hybridization

  1. Nov 15, 2006 #1
    I'm given the following matrix equation:

    [​IMG]

    I'm also given:

    [​IMG]

    We're supposed to show that the angle between any two of these wave functions is 109.5 (characteristic of sp3 hybridization). I assume I need to calculate the expectation values of x, y and z and then use the dot product, but I'm at a loss on how to evaluate the inegrals. Suggestions?

    Thanks.

    P.S. Forum Question: Why do the images appear as links when I use the [​IMG]
     
  2. jcsd
  3. Nov 19, 2006 #2
    I have a very similar problem myself. I think you need to take the expectation value of two wavefunctions with respect to the position operator. so:
    <psi_1|r|psi_1>
    since the position is a vector operator you will get a vector quantity. Dot the two of them together, and I'm sure you can get it from there.

    btw: how do you get LaTeX to work here?
     
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