“…where σ ij are components of the stress tensor, ij are components of the strain tensor, α is the chemical expansion coefficient, and C(r, z) is the europium dopant concentration distribution that arises from segregation during growth. We note that Onken et al [42] reported anisotropic Eu doping strain along different BaBrCl lattice directions; however, we have employed an averaged, isotropic chemical expansion coefficient, α, to simply our analysis. The coefficients E ij correspond to the fundamental elastic constants of an orthorhombic crystal whose c-axis is aligned with the z-axis of a Cartesian coordinate system [11], with indices {1, 2, 3} corresponding to {x, y, z}.…”