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1) The image at right shows electron density solutions for the molecule H 2 in p

ID: 973214 • Letter: 1

Question

1)

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 ?1s molecular orbital. Each depiction shows the contour of the ?1s orbital at different electron density cutoffs. The cutoffs, in order from a to e, are, in units of electron/a03, 0.10, 0.15, 0.20, 0.25, and 0.30. (a0 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.

How many electrons are found in H2?


A) 1
?B) 2
C) 3
D) 4
E) Impossible to tell?

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

A) Each orbital representation depicts a different energy level solution for H2
B) It is most likely the electrons will be found near the two hydrogen nuclei
C) 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
D) The relative distance between the two hydrogen nuclei cause the shape of the sigma orbital to vary
E) Solutions for the Schrodinger equation produce different eigenstates that have variable shapes.





Explanation / Answer

1) option B) 2

reason :

in hydrogen molecule there are 2 electrons.

2) B) It is most likely the electrons will be found near the two hydrogen nuclei

reason :

when the electron spins are antiparallel molecular bonding orbitals are formed. when they are parallel anti bonding orbitals are formed.