Assignment and Problem Set 19 for Chemistry 455A, Spring 2008 - Prof. William Reinhardt, Assignments of Physical Chemistry

Download Assignment and Problem Set 19 for Chemistry 455A, Spring 2008 - Prof. William Reinhardt and more Assignments Physical Chemistry in PDF only on Docsity! Chemistry 455A Reinhardt and Stanich, Spring 2008 Assignment and Problem Set #19, for Friday May 16 Reminder read McQ sections 7.1-7.3, and now add 7.5 and 7.7 In Engel electron “spin” appears in CH 6 (already assigned as optional reading) And the H atom in CH 9. Note that our coverage will NOT include all material in McQ Ch 7, or Engel Chs 6,9….so skim everything (if you wish) but stay focused on the specific sections, as assigned. Reminder: the spherical harmonics will be covered on Exam #2, but no material on the H atom will appear on the exam. Problem Set #19 for Friday May 16, due at 5:30 pm mail box #56. A) Work problems 7-12, 7-24, 7-27 in McQ. B) Also, using the “radial probability distribution” P(r)dr as defined in class (these are the functions appearing in Figure 7.2 of McQ), show that for an electron in a 1s state in the H-atom (Z = 1) that the “most probable” distance of the electron from the nucleus is exactly a0, namely exactly the same as the radius of the “first Bohr orbit.” This is an astonishing accident (or is it???) as the wave function has l = 0, and the first Bohr orbit has l = 1! Nonetheless both are “the ground state” and have exactly the same energy in their respective “pictures.”