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4. Calculate for the normalized wavefunction from # 3.

4. Calculate for the normalized wavefunction from # 3.

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25 <r>= <r> = 4. Calculate <r> for the normalized wavefunction from # 3. = 24a3-1601 VF Y dz 24a 3. ∙LLOTT 24a-10TT =(-2) ao ∞ 0 ao a₂² e T 2TT e (257) r ( 24²-1 (2- 25 ) (25) ²³ dr [Sinod& faé 鬥 sinodod b 24a-16TT O e € ²2/20) n² r³dr HTT de = r²drsinododo 5. When B-cartene is oxidized in vivo it breaks in half and forms two molecules of retinal (vitamin A), which is a precursor to the pigment in the retina responsible for vision. The conjugated system of retinal consists of 11 C atoms and one O atom. In the ground state of retinal, each level up to n-6 is occupied by two electrons. Assuming that this conjugated system behaves like a particle in a l with an average internuclear distance of 140 pm between each pair of atoms, calculate (a) the separation in energy between the ground state and the first 0
Transcribed Image Text:25 <r>= <r> = 4. Calculate <r> for the normalized wavefunction from # 3. = 24a3-1601 VF Y dz 24a 3. ∙LLOTT 24a-10TT =(-2) ao ∞ 0 ao a₂² e T 2TT e (257) r ( 24²-1 (2- 25 ) (25) ²³ dr [Sinod& faé 鬥 sinodod b 24a-16TT O e € ²2/20) n² r³dr HTT de = r²drsinododo 5. When B-cartene is oxidized in vivo it breaks in half and forms two molecules of retinal (vitamin A), which is a precursor to the pigment in the retina responsible for vision. The conjugated system of retinal consists of 11 C atoms and one O atom. In the ground state of retinal, each level up to n-6 is occupied by two electrons. Assuming that this conjugated system behaves like a particle in a l with an average internuclear distance of 140 pm between each pair of atoms, calculate (a) the separation in energy between the ground state and the first 0
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