Table 1.

Measured and derived material constants of [011]_c poled 0.24P1N-0.43PMN-0.33 PT single crystal. [Directly measured constants are marked by a star (*).]

Elastic stiffness constants: $C_{ij}^E$ and $C_{ij}^D$ (1010 N/m2)
$C_{11}^{E_{\ast }}$	$C_{12}^E$	$C_{13}^E$	$C_{22}^{E_{\ast }}$	$C_{23}^E$	$C_{33}^E$	$C_{44}^{E_{\ast }}$	$C_{55}^{E_{\ast }}$	$C_{66}^{E_{\ast }}$
20.35	10.93	6.67	13.25	9.13	15.31	4.92	0.32	7.42
$C_{11}^D$	$C_{12}^D$	$C_{13}^D$	$C_{22}^D$	$C_{23}^D$	$C_{33}^{D_{\ast }}$	$C_{44}^{D_{\ast }}$	$C_{55}^{D_{\ast }}$	$C_{66}^D$
21.00	10.30	8.44	13.87	7.41	20.11	7.62	4.33	7.42
Elastic compliance constants: $S_{ij}^E$ and $S_{ij}^D$ (10−12 m2/N)
$S_{11}^{E_{\ast }}$	$S_{12}^E$	$S_{13}^E$	$S_{22}^{E_{\ast }}$	$S_{23}^E$	$S_{33}^E$	$S_{44}^E$	$S_{55}^E$	$S_{66}^E$
8.89	−7.92	0.85	19.86	−8.40	11.17	20.33	312.50	13.48
$S_{11}^D$	$S_{12}^D$	$S_{13}^D$	$S_{22}^D$	$S_{23}^D$	$S_{33}^{D_{\ast }}$	$S_{44}^D$	$S_{55}^D$	$S_{66}^D$
7.80	−5.03	−1.42	12.23	−2.39	6.45	13.13	23.10	13.48
Piezoelectric coefficients: eiλ(C/m2), diλ(1012 C/N), giλ(103 Vm/N), and hiλ(108 V/m)
e 15	e 24	e 31	e 32	e 33	d 15	d 24	$d_{31}^{\ast }$	$d_{32}^{\ast }$	$d_{33}^{\ast }$
13.84	52.30	5.82	−5.67	15.80	4324	1063	110	−291	229
g 15	g 24	g 31	g 32	g 33	h 15	h 24	h 31	h 32	h 33
66.93	6.78	9.90	−26.21	20.60	28.98	5.16	11.18	−10.89	30.36
Dielectric constants: εij(ε0) and β(104/ε0)
${\epsilon }_{11}^{S_{\ast }}$	${\epsilon }_{22}^{S_{\ast }}$	${\epsilon }_{33}^{S_{\ast }}$	${\epsilon }_{11}^{T_{\ast }}$	${\epsilon }_{22}^{T_{\ast }}$	${\epsilon }_{33}^{T_{\ast }}$	${\beta }_{11}^{S_{\ast }}$	${\beta }_{22}^{S_{\ast }}$	${\beta }_{33}^{S_{\ast }}$	${\beta }_{11}^{T_{\ast }}$	${\beta }_{22}^{T_{\ast }}$	${\beta }_{33}^{T_{\ast }}$
540	11,450	588	7300	17,730	1256	18.54	0.87	17.00	1.37	0.56	7.96
Electromechanical coupling factors kij and density
k 15	k 24	$k_{31}^{\ast }$	$k_{32}^{\ast }$	$k_{33}^{\ast }$	$k_t^{\ast }$	Density (kg/m3)
0.96	0.60	0.35	0.62	0.65	0.49	8198