Sketch the shape of each of the σ molecular orbitals for H2+ shown in Figure 6.5 in a plane perpendicular to the internuclear axis located at the midpoint between the two nuclei. Repeat the sketches for a plane perpendicular to the internuclear axis located at a point one quarter of the distance between the two nuclei.

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Chapter1: Chemical Foundations
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Sketch the shape of each of the σ molecular orbitals for H2shown in Figure 6.5 in a plane perpendicular to the internuclear axis located at the midpoint between the two nuclei. Repeat the sketches for a plane perpendicular to the internuclear axis located at a point one quarter of the distance between the two nuclei. 

 

FIGURE 6.5 Wave functions for the
first eight energy levels of the H;
molecular ion, calculated exactly by
quantum mechanics. The two nuclei
lie along the z-axis, which is in the
plane of the paper. Regions of
positive and negative amplitude are
shown in red and blue, respectively.
20
3o
The labels for each orbital are
explained in the text. The images are
isosurfaces corresponding to contours
at + 0.1 of the maximum amplitude.
The log is the ground state, and the
energies increase in the order lợg<
1ot< 20g < 2ơở< 1ĩy< 3og< 1nž<
3o. (Courtesy of Mr. Hatem Helal and
Professor William A. Goddand II, Califomia Institute of
Technology, and Dr. Kelly P. Gaither, University of Texas at
Austin.)
20g
1ng
30g
10g
Transcribed Image Text:FIGURE 6.5 Wave functions for the first eight energy levels of the H; molecular ion, calculated exactly by quantum mechanics. The two nuclei lie along the z-axis, which is in the plane of the paper. Regions of positive and negative amplitude are shown in red and blue, respectively. 20 3o The labels for each orbital are explained in the text. The images are isosurfaces corresponding to contours at + 0.1 of the maximum amplitude. The log is the ground state, and the energies increase in the order lợg< 1ot< 20g < 2ơở< 1ĩy< 3og< 1nž< 3o. (Courtesy of Mr. Hatem Helal and Professor William A. Goddand II, Califomia Institute of Technology, and Dr. Kelly P. Gaither, University of Texas at Austin.) 20g 1ng 30g 10g
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