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Topic: Constructing angular function  (Read 2187 times)

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Offline orgo814

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Constructing angular function
« on: July 24, 2015, 12:39:13 PM »
I'm having trouble constructing angular function. This question required to construct a function for the 3d x^2-y^2 orbital.

The solution was x^2 - y^2 = r^2sin^2theta[cos^2theta - sin^2theta]

The pictures I attached was the information they gave me. Thanks.
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Offline Corribus

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Re: Constructing angular function
« Reply #1 on: July 27, 2015, 09:52:43 AM »
What's the actual wording of the question?

Also, are you sure you've typed the solution out correctly? I believe the θ's in the brackets should be φ's.
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Offline mjc123

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Re: Constructing angular function
« Reply #2 on: July 28, 2015, 11:08:22 AM »
Do you know how to express x and y in polar coordinates (r,θ,φ)? What is x2 - y2?
To relate to the given functions: Do you know expressions for sin2φ and cos2φ in terms of sinφ and cosφ?
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