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We Can Model a General Cyanine-Type Dye Molecule as If NN

Question 142

Multiple Choice

We can model a general cyanine-type dye molecule as if it contained NN electrons trapped in a "box"-like potential energy function, where NN is some even integer. The energy of a single quanton in a box is given by En=E1n2E_{n}=E_{1} n^{2} , where nn is an integer and E1E_{1} is the energy of the ground (n=1) (n=1) energy level. If for a given molecule there are four electrons trapped in the molecule's "box," what is the lowest possible total energy of those electrons?


A) Etot =E1E_{\text {tot }}=E_{1}
B) Etot =4E1E_{\text {tot }}=4 E_{1}
C) Etot =8E1E_{\text {tot }}=8 E_{1}
D) Etot =10E1E_{\text {tot }}=10 E_{1}
E) Etot =30E1E_{\text {tot }}=30 E_{1}

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