The volume fraction of each NP layer dictates the Rmax, λ0, and Δλ/λ0 of the stopband. The volume fraction of each NP layer dictates the Rmax, λ0, and.

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The volume fraction of each NP layer dictates the Rmax, λ0, and Δλ/λ0 of the stopband. The volume fraction of each NP layer dictates the Rmax, λ0, and Δλ/λ0 of the stopband. (A) The volume fraction within each NP layer is defined in the equation, where N is the number of NPs in each unit cell, Vsphere is the volume of the NP, and A × (2r) is the volume of a unit cell: A is the area of the facet in the x–y plane of the unit cell, r is the radius of the NP. Thus, the diameter of the NP defines the thickness of the NP layer. (B) Rmax, (C) λ0, and (D) normalized bandwidth (Δλ/λ0) of tP, oP, and hP lattices as a function of volume fraction within each NP layer. One lattice constant within the NP layer is chosen for body-centered orthorhombic (oI), face-centered orthorhombic (oF), and base-centered orthorhombic (oC), and the stopband features show good agreement with the oP lattices as predicted. The layer periodicity of all data points is 240 nm. Lin Sun et al. PNAS 2018;115:28:7242-7247 ©2018 by National Academy of Sciences