A particular molecule has three low-lying stationary states, labeled |ψ1> , |ψ2> , and |ψ3> , with energies E1=1.00, E2=3.00, and E3=5.00 eV, respectively. Consider a superposition state of the molecule with a wavefunction described by |φ> = N {(1/6)|ψ1> + (i/6)|ψ2> - (2/3)|ψ3>}.
Calculate an acceptable value for N such that |φ> is normalized.