(a) The nitrogen atom has one electron in each of the 2px,2py and 2pz orbitals. By using the form of the angularwave functions, show that the total electron density,c2(2px) +c2(2py) +c2(2pz), is spherically symmetric(that is, it is independent of the angles u and f). Theneon atom, which has two electrons in each 2porbital, 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 isspherically symmetric. Identify the spherically symmetric atoms or ions among the following: F=, Na, Si,S2-, Ar+, Ni, Cu, Mo, Rh, Sb, W, Au.

Answered: (a) The nitrogen atom has one electron…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter5: Electron Configurations And The Periodic Table

Section: Chapter Questions

Problem 140QRT

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(a) The nitrogen atom has one electron in each of the 2p_x,
2p_y and 2p_z orbitals. By using the form of the angular
wave functions, show that the total electron density,
c²(2p_x) +c2(2p_y) +c2(2p_z), is spherically symmetric
(that is, it is independent of the angles u and f). 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,
S^2-, Ar⁺, Ni, Cu, Mo, Rh, Sb, W, Au.

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