Question

The first four spherical harmonics Ym are given below. r-e'a cose 3 11/2 Y. 3 11/2 3 1/2 sin θ e_ίφ a) Give the mathematical functions that describe the s orbital and the pz orbital. (10 marks) b) Unsöld's theorem states that the spherical harmonics satisfy the relation +I IYİm12 = constant m--l t Unsöld's theorem is valid for the family of spherical harmonics with (15 marks)

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Answer 1

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8木 & n ha