proximated by the wave functions of a particle in a one-dimensional box of length L A) Write down the wave function for a single electron for such a system. Include any restrictions on the quantum number(s). B) Show that the transition probability with x-polarized light for the transition n = 1 → n = 2 is non-zero. C) Show that the transition probability with x-polarized light for the transition n = 1 → n = 3 is zero.
(1)Earlier in class, we said that the electronic states of the π electrons of a conjugated linear-like molecule could be approximated by the wave functions of a particle in a one-dimensional box of length L
A) Write down the wave function for a single electron for such a system. Include any restrictions on the quantum number(s).
B) Show that the transition probability with x-polarized light for the transition n = 1 → n = 2 is non-zero.
C) Show that the transition probability with x-polarized light for the transition n = 1 → n = 3 is zero.
D) What wavelength of photon is required for the transition in part (b) to occur? Assume that the excitation process is a one-photon process.
please answer all parts as they pertain to each other.
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