Table 1.

Measured and derived material constants of [111]_c poled 0.24PIN-0.49PMN-0.27PT single-domain single crystal. [Directly measured constants are indicated by star (*).]

Elastic stiffness constants: $c_{\mathit{ij}}^E$ and $c_{\mathit{ij}}^D$ (1010 N∕m2)
$c_{11}^{E*}$	$c_{12}^E$	$c_{13}^E$	$c_{14}^E$	$c_{33}^E$	$c_{44}^{E*}$	$c_{66}^{E*}$
20.26	9.02	5.32	−2.67	18.47	2.34	5.62
$c_{11}^D$	$c_{12}^D$	$c_{13}^D$	$c_{14}^{D*}$	$c_{33}^{D*}$	$c_{44}^{D*}$	$c_{66}^D$
20.38	9.10	4.80	−2.33	21.29	7.90	5.64
Elastic compliance constants: $s_{\mathit{ij}}^E$ and $s_{\mathit{ij}}^D$ (10−12 m2∕N)
$s_{11}^{E*}$	$s_{12}^E$	$s_{13}^E$	$s_{14}^E$	$s_{33}^E$	$s_{44}^E$	$s_{66}^E$
11.62	−7.81	−1.10	22.17	6.05	93.33	38.86
$s_{11}^D$	$s_{12}^D$	$s_{13}^D$	$s_{14}^D$	$s_{33}^{D*}$	$s_{44}^D$	$s_{66}^D$
6.87	−3.21	−0.83	2.93	5.07	14.23	20.15
Piezoelectric coefficients: eiλ(C∕m2), diλ (10−12 C∕N), giλ (10−3 Vm∕N), and hiλ (108 V∕m)
e15	e22	e31	e33	d15	d22	$d_{31}^{*}$	$d_{33}^{*}$
20.99	−1.28	−2.16	11.62	2015	−490	−21	75
g15	g22	g31	g33	h15	h22	h31	h33
39.26	−9.55	−3.65	13.04	26.92	−1.64	−4.51	24.25
Dielectric constants: ɛij(ɛ0) and β(10−4∕ɛ0)
${\varepsilon }_{11}^{S*}$	${\varepsilon }_{33}^{S*}$	${\varepsilon }_{11}^{T*}$	${\varepsilon }_{33}^{T*}$	${\beta }_{11}^S$	${\beta }_{33}^S$	${\beta }_{11}^T$	${\beta }_{33}^T$
881	541	5800	650	11.35	18.47	1.72	15.39
Electromechanical coupling factors kij and density (kg∕m3)
k15	$k_{31}^{*}$	$k_{33}^{*}$	$k_t^{*}$	density
0.84	0.08	0.40	0.36	8095