1. For the 3p, Ss, 3dy, 3daya and 4d hydrogen-like atomic orbitals, sketch the following: a. The radial function R b. The radial probability function aor'R? c. Draw a 2D-slice of the orbitals clearly labeling all the nodes and the axes. Indicate nodal planes and spheres by dashed lines and the positive and the negative parts of the wave function with plus and minus signs.

1. For the 3p, Ss, 3dy, 3daya and 4d hydrogen-like atomic orbitals, sketch the following: a. The radial function R b. The radial probability function aor'R? c. Draw a 2D-slice of the orbitals clearly labeling all the nodes and the axes. Indicate nodal planes and spheres by dashed lines and the positive and the negative parts of the wave function with plus and minus signs.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 50AP: (a) The nitrogen atom has one electron in each of the 2px , 2py , and 2pz orbitals. By using the...

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(a) The nitrogen atom has one electron in each of the 2px , 2py , and 2pz orbitals. By using the form of the angular wave functions, show that the total electron density, 2(2px)+2(2py)+2(2pz) , is spherically symmetric (that is, it is independent of the angles and ). The neon atom, which has two electrons in each 2p orbital, is also spherically symmetric. (b) The same result as in part (a) applies to d orbitals, thus a filled or half-filled subshell of d orbitals is spherically symmetric. Identify the spherically symmetric atoms or ions among the following: F , Na, Si, S2,Ar+ , Ni, Cu, Mo, Rh, Sb, W, Au.
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