The energy levels for the particle-in-a-box model can be used to predict the energy required to excite an electron that is part of a conjugated systems. The electron is essentially a particle that is trapped In the conjugated system. Butadiene has 4 electrons that are part of the conjugated system, which, in the lowest energy conformation, can be considered to be in two energy levels (1 and 2). H 3 H H - 133.8 pm H 133.8 pm H -H 1 H H Calculate the wavelength of light (nm) needed to promote an electron from n=2 to n=3. Hint: To first determine L, use the three bond lengths plus the distance equal to a C atom radius at each end (77 com). ) 50 210 460 600 780 145.4 pm Energy

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The energy levels for the particle-in-a-box model can be used to predict the energy required to excite
an electron that is part of a conjugated systems. The electron is essentially a particle that is trapped
in the conjugated system.
Butadiene has 4 electrons that are part of the conjugated system, which, in the lowest energy
conformation, can be considered to be in two energy levels (1 and 2).
n
H
H
H
133.8 pm
#
145.4 pm
133.8 pm
H
-H
H
#
H
Calculate the wavelength of light (nm) needed to promote an electron from n=2 to n=3. Hint: To first
determine L, use the three bond lengths plus the distance equal to a C atom radius at each end (77
pm).
(50
(210
() 460
(600
780
Energy
2
Transcribed Image Text:The energy levels for the particle-in-a-box model can be used to predict the energy required to excite an electron that is part of a conjugated systems. The electron is essentially a particle that is trapped in the conjugated system. Butadiene has 4 electrons that are part of the conjugated system, which, in the lowest energy conformation, can be considered to be in two energy levels (1 and 2). n H H H 133.8 pm # 145.4 pm 133.8 pm H -H H # H Calculate the wavelength of light (nm) needed to promote an electron from n=2 to n=3. Hint: To first determine L, use the three bond lengths plus the distance equal to a C atom radius at each end (77 pm). (50 (210 () 460 (600 780 Energy 2
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