A spherical harmonic function is the angular part of the wavefunction of an elec

Question

A spherical harmonic function is the angular part of the wavefunction of an electron in hydrogen atom. In the state (5, 4, -2), it is the following, Y^4_-2(theta, phi) = 3/8 Squareroot 5/2 pi exp[-2 i phi] sin^2 theta (7 cos^2 theta-1) A. What is the most probable angle theta to find the electron? If there are more than one angle, please enter one of the correct answers. B. What is the most probable angle phi to find the electron? Select one: a. phi = 0 degree, 180 degree, b. phi = 45 degree c. There is no preferred angle. d. phi = 90 degree e. phi = 0 degree f. phi = 0 degree, 90 degree, 180 degree, 270 degree g. phi = 135 degree

Explanation / Answer

Since there are both sine and cosine functions in the spherical harmonic function. The only angle for which the function can have a maximum value is 45 degrees.

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