1. For the \pi-network of \beta-carotene modeled using the particle in the box, the position-dependent probability density of finding 1 of the 22 electrons is given by
Pn(x) = |\Psi_{}n(x)|^2 = (2/a)Sin^2 (n Pi x / a)
The quantum number n in this equation is determined by the energy level of...