“…larger lattice constant side) of the InP substrate peak, due to the upper 500 nm InAs y P 1 À y layer. The alternative grade design was inspired by reports of a 5-step design targeting InAs 0.25 P 0.75 [9] and a 3-5 step design targeting InAs 0.32 P 0.68 [6], which achieved surface roughnesses of o1 and 1.2 nm, respectively. Note that the specified compositions refer to the uppermost InAs y P 1 À y layer of the respective MBL and they do not indicate that the MBL is a single layer structure; this convention is used throughout the manuscript.…”