The hexatriene molecule is sketched below. Each carbon atom has four valence electrons,three of which are tied up in covalent (sigma) bonds to neighboring atoms, leaving six electronsthat can move between the ends of the molecule. Assuming a one-dimensional particle-in-a-boxcontaining the 6 electrons that is 0.73 nanometers long, calculate the minimum energy in eVneeded to excite an electron from the highest filled energy state to the lowest unfilled state, andgive the wavelength and approximate color of light that corresponds to this adsorption energy.How close is this wavelength to the experimental value of 2580 Angstroms? Remember thatthere are 2 electrons per allowed energy state.