In order to find the energy levels of any material you have to refer them to the vacuum level. This will make your task very easy.
Then you can draw a horizontal line representing the conduction band edge Ec which is lower than the vacuum level by the electron affinity x of the material.
Then one draws a horizontal line lying under the Ec by the energy gap Eg.
Then you can locate the Fermi-level inside the Eg according to doping of the material.
For more details you can refer to the book: Book Electronic Devices
From where (which book or paper or simulator GUI) you've got the term "band potential" ? I've never heard about this during more than 35 years of research on solid-state physics and semicdctors in particular. May be you mean the potential energy of carriers in a certain energy band. If so, then the potential energy of electrons in the conduction band of a decent semiconductor is simply the bottom of the conduction band (Ec) and so for holes, at the top of valence band (Ev). Note that both Ec and EV are generally function of position (not usually horizontal) depending on the electrostatic potential distribution. But usually the distance between them is the energy gap. You can benefit from my uploaded Chapter entitled :Energy band Theory: here in Researchate. Chapter Energy Band Theory - Update