“…The deformation behavior of cerium under diamond cutting is complex for its unique chemical, physical, and mechanical properties. Cerium has multiple lattice structures accompanied with rich paths of phase transformation [ 7 , 8 , 9 , 10 , 11 ]. It has been demonstrated that there are seven kinds of solid phases in cerium: γ (face centered-cubic, FCC), α (FCC), β (double hexagonal close packed, DHCP), δ (body centered-cubic, BCC), α ’ (C-type orthorhombic or the α -U structure), α ’’ (C2/m monoclinic) and ε (body centered tetragonal, BCT).…”