Chap6-SuppHW - Supplementary Home Work Problems Chapter 6 1...

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Supplementary Home Work Problems Chapter 6 S6.2 The 1s and 2s wavefunctions of hydrogenlike atoms are: (a) Prove the ψ 1s and ψ 2s are orthogonal to each other. (b) Calculate the normalization constant, A 1s . (c) Calculate the most probable value of r for an electron in a hydrogen 1s orbital. (d) Calculate <r> for an electron in a hydrogen 1s orbital (Note: first normalize the radial distribution function). (e) Calculate the probability that the electron is between r=0 and r=2a 0 /Z (f) Calculate the probability that r is in the range: 2a 0 /Z r 4a 0 /Z (g) Calculate the average potential energy of an electron in a hydrogen 1s orbital. (h) Show that ψ 1s is an eigenfunction of the radial Schrödinger equation S6.3 One of the wavefunctions of hydrogenlike atoms is: (a) Show that this function is an eigenfunction of the L 2 operator What is the eigenvalue? (b) Show that this function is an eigenfunction of the L z operator What is the eigenvalue? (c)
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This note was uploaded on 04/11/2011 for the course CHEM 5210 taught by Professor Staff during the Spring '08 term at North Texas.

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Chap6-SuppHW - Supplementary Home Work Problems Chapter 6 1...

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