In a dielectric, the bound surface change density is given in MKS by
where P is the electric polarization and is the unit normal vector.
Bound Electrons, Bound Charge, Free Charge, Surface Charge Density
References
Griffiths, D. J. Introduction to Electrodynamics, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, p. 145, 1998.