Strain on ferroelectric thin films

Table 1 Isotropic biaxial stress field, monodomain phases: schematic representation, polarization’s components, notations from Pertsev et al. [94] unless stated otherwise, symmetry, space group and basis vectors in the pseudo-cubic reference

Polarization components	Notation	Symmetry	Space group	Basis vectors
P₁ = P₂ = P₃ = 0	paraelectric	Tetragonal	P4/mmm	[100], [010], [001]
P₁ = P₂ = 0, P₃ ≠ 0	c phase	Tetragonal	P4mm	[100], [010], [001]
P₁ ≠ 0, P₂ = P₃ = 0	a phase	Orthorhombic	P2mm	[100], [010], [001]
P₁ = P₂ ≠ 0, P₃ = 0	aa phase	Orthorhombic	C2mm	[110], [1−10], [001]
P₁ = P₂ ≠ 0 < P₃ ≠ 0	r phase (r_c [128], M_A [18])	Monoclinic	Cm	[110], [1−10], [001]
P₁ = P₂ ≠ 0 > P₃ ≠ 0	r phase (r_aa [128] or M_B [18])	Monoclinic	Cm	[110], [1−10], [001]
P₁ ≠ 0, P₂ = 0, P₃ ≠ 0	ac phase (M_C [18])	Monoclinic	Pm	[100], [010], [001]
P₁ = P₂ = P₃ ≠ 0	F_O [117, 118]	Monoclinic	Cm	[110], [1−10], [001]