# Question #45cd0

##### 1 Answer

Jan 18, 2016

I'm not sure what your

This equation, derived from quantum mechanics, gives a similar relation to the energy of the hydrogen atom...

#E_n = (n^2h^2)/(8ma^2)# where:

#n# is the principal quantum number, and#n = 1, 2, 3, ..., N# where#N# is a real integer#h# is Planck's constant (#6.626xx10^(-34) "J"*"s"# )#m# is the mass of the electron (#9.109xx10^(-31) "kg"# )#a# is the width of the box that confines the particle in the Particle in the Box model, i.e. the domain for the boundary conditions of the system's wave function

From this equation, as **increases**, **increases**.

If the size of a molecule increases, it is proportional to

That's why larger aromatic systems tend to have smaller HOMO-LUMO gaps than smaller aromatic systems, and thus, they have better conductivity.