Usually copper grows on c-sapphire with orientation Cu(111)parallel to A1(2)O(3)(0001) with Cu[2 $($) over bar$$ 1 $$($) over bar 1] along Al2O3[2 $($) over bar$$ 1 $$($) over bar 10]. In the present work an additional orientation is described. To understand this orientation, a microscopic model of roughness of the substrate crystal is proposed and verified.