The electron density solutions for the molecule H₂ in question 1 are different sizes. Why is that?

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter10: Molecular Structure And Bonding Theories
Section: Chapter Questions
Problem 10.100QE: The molecular orbital diagram of NO shown in Figure 10.47 also applies to the following species....
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Refer to the orbital images to answer the question.

The image at right shows
electron density solutions for
the molecule H₂ in panels a-e
and an energy diagram for the
atomic and molecular orbitals
in the bottom right panel. The
two hydrogen nuclei are shown
as circles within the electron
density solution images.
The images a-e correspond to
the 01s molecular orbital. Each
depiction shows the contour of
the 0₁s orbital at different
electron density cutoffs. The
cutoffs, in order from a to e,
are, in units of electron/a³,
0.10, 0.15, 0.20, 0.25, and 0.30.
(ao is the characteristic size of
the hydrogen atom, called the
Bohr radius.) The images show
the locations of electron
density at or above these
values.
(a)
(c)
(e)
(b)
(d)
0.8
Eo*--
E
Es
Eo
D|---
1s
0*
0
*
HO
Transcribed Image Text:The image at right shows electron density solutions for the molecule H₂ in panels a-e and an energy diagram for the atomic and molecular orbitals in the bottom right panel. The two hydrogen nuclei are shown as circles within the electron density solution images. The images a-e correspond to the 01s molecular orbital. Each depiction shows the contour of the 0₁s orbital at different electron density cutoffs. The cutoffs, in order from a to e, are, in units of electron/a³, 0.10, 0.15, 0.20, 0.25, and 0.30. (ao is the characteristic size of the hydrogen atom, called the Bohr radius.) The images show the locations of electron density at or above these values. (a) (c) (e) (b) (d) 0.8 Eo*-- E Es Eo D|--- 1s 0* 0 * HO
The electron density solutions for the molecule H₂ in question 1 are different sizes.
Why is that?
Select one:
It is most likely that electrons will be found near the two hydrogen nuclei.
Solutions for the Schrödinger equation produce different eigenstates that have
variable shapes.
Panel a represents the orbital when the electron spins are antiparallel and panel e
represents it when they are parallel; the rest show the transition between those two
extremes.
Each orbital representation depicts a different energy level solution for H₂.
The relative distance between the two hydrogen nuclei cause the shape of the 01s
orbital to vary.
Transcribed Image Text:The electron density solutions for the molecule H₂ in question 1 are different sizes. Why is that? Select one: It is most likely that electrons will be found near the two hydrogen nuclei. Solutions for the Schrödinger equation produce different eigenstates that have variable shapes. Panel a represents the orbital when the electron spins are antiparallel and panel e represents it when they are parallel; the rest show the transition between those two extremes. Each orbital representation depicts a different energy level solution for H₂. The relative distance between the two hydrogen nuclei cause the shape of the 01s orbital to vary.
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