(Bonus 7 pts) (a) Let's reconsider particle-in-a-box model (with 12 electrons) in question 1 by modifying a rectangular particle-in-a-box. When the height of box in Q1 is reduced to a half (see below), construct an energy-level diagram showing the relative energy ordering of the lowest 8 molecular orbitals when this cube is a xa x 0.5a. Label the levels in terms of their quantum numbers and Eo (Eo = h2/8ma²). Be alert for degeneracies. S Fe Fe 0.5a E3D 111: 6 to 211=96 121=9E. 112: 136. 221-126. h² n 5:蒜(++) h² 8m h² 8m ha Bmaz (4) (n} + (0.5a)2 n? + वर 0-2592) + n + 42) = E (n² + n²² + 4 m²) E = 120f6€ = GE 125.

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(Bonus 7 pts)
(a) Let's reconsider particle-in-a-box model (with 12 electrons) in question 1 by modifying a
rectangular particle-in-a-box. When the height of box in Q1 is reduced to a half (see below),
construct an energy-level diagram showing the relative energy ordering of the lowest 8
molecular orbitals when this cube is a xa x 0.5a. Label the levels in terms of their quantum
numbers and Eo (Eo = h2/8ma²). Be alert for degeneracies.
S
Fe
Fe
0.5a
E3D
111: 6 to
211=96
121=9E.
112: 136.
221-126.
h²
n
5:蒜(++)
h²
8m
h²
8m
ha
Bmaz
(4)
(n} +
(0.5a)2
n?
+
वर
0-2592)
+ n + 42) = E (n² + n²² + 4 m²)
E = 120f6€ = GE
125.
Transcribed Image Text:(Bonus 7 pts) (a) Let's reconsider particle-in-a-box model (with 12 electrons) in question 1 by modifying a rectangular particle-in-a-box. When the height of box in Q1 is reduced to a half (see below), construct an energy-level diagram showing the relative energy ordering of the lowest 8 molecular orbitals when this cube is a xa x 0.5a. Label the levels in terms of their quantum numbers and Eo (Eo = h2/8ma²). Be alert for degeneracies. S Fe Fe 0.5a E3D 111: 6 to 211=96 121=9E. 112: 136. 221-126. h² n 5:蒜(++) h² 8m h² 8m ha Bmaz (4) (n} + (0.5a)2 n? + वर 0-2592) + n + 42) = E (n² + n²² + 4 m²) E = 120f6€ = GE 125.
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