Is there any relation between the spacing among fringes in an interference pattern and electron levels?

Is there any relation between 1)spacing among the fringes of an interference pattern and 2)the spacing between different electron energy levels in the atoms of the source of the light(of which the interference has happened) ? Also, any relation between 1)the fading away of the outer fringes and 2)the less probability of the electron to occupy the outer energy levels ( i mean the the very far energy levels from the nucleus)