Martienssen W., Warlimont H. (Eds.). Handbook of Condensed Matter and Materials Data
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872 Part 4 Functional Materials
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials
General Static Dissipation Elastic Piezoelectric Elastooptic
dielectric tensor factor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
tan δ
1
c
11
d
31
p
11
Mohs hardness ε
S
22
tan δ
2
c
22
d
32
p
12
κ (W/mK) ε
S
33
tan δ
3
c
33
d
33
p
13
ε
T
11
(T (
◦
C), c
44
d
15
p
21
ε
T
22
f (kHz)) c
55
d
24
p
22
ε
T
33
c
66
d
h
p
23
c
12
(10
−12
C/N) p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Ammonium sulfate, – 35.2 0.26 [4.523, 524]
(NH
4
)
2
SO
4
– 29.7 |0.27| [4.525]
8
a
(−60
◦
C) 36.0 |0.26| [4.525]
[4.526,527] 9.5 |0.23| [4.525]
7.0 ≈|0.27| [4.525]
10.3 |0.25| [4.525]
14.1 |0.23| [4.525]
15.7 ≈|0.26| [4.525]
17.3 [4.525] ≈ 0.26 [4.525]
0.02 [4.525]
≤|0.02| [4.525]
≈ 0.01 [4.11, 525]
Barium magnesium 14 [4.528] 104 +2.5(3)
fluoride, BaMgF
4
8 [4.528] 81 −4.1(4)
(BMF) 8.5 [4.528] 130 +8.0(2)
14.75(74)
a
32.1 −5.3(5)
8.24(41)
a
55.1 −1.2(1) [4.529]
8.40(42)
a
24.7 −
[4.529] 28.7
63.7
35.8 [4.529]
Barium sodium 5.41 215 0.0068(17) 239 −6.8 p
66
= 0.0021
niobate,
– 205 – 247 −6.9 [4.530, 531]
Ba
2
NaNb
5
O
15
3.5 [4.532] 20 0.0024(6) 135 34
(“banana”) 238(5) (25
◦
C, 1 GHz) 65 32
228(5) [4.296] 66 45 [4.533]
430 [4.534]
b
76 −
104
50
52 [4.535]
c
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 873
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
13
Transparency range (µm) n
X
n
Y
n
Z
d
31
r
T
23
dn
X
/dT (10
−5
K
−1
) A A A d
32
r
T
33
dn
Y
/dT (10
−5
K
−1
) B B B d
33
r
T
42
dn
Z
/dT (10
−5
K
−1
) C C C d
15
r
T
51
D D D d
24
(10
−12
m/V) E E E (10
−12
m/V)
F F F
Ammonium sulfate, r
c
= 0.4 0.27
(NH
4
)
2
SO
4
[4.536] 0.29
0.50 [4.537]
−
−
Barium magnesium 0.185–10 [4.495] 1.4436 1.4604 1.4674 0.022
fluoride, BaMgF
4
2.077 2.1238 2.1462 0.033
0.0076 0.0086 0.00736 0.009
0.0079 0 0.009 −
0 [4.495]
h
0 [4.495]
h
0 [4.495]
h
0.024 [4.495]
− − −
− − −
Barium sodium 15(1) 0.37–5 [4.534,538, 539] 2.2573 2.2571 2.1694 −12
niobate,
13(1) −2.5 [4.534] 1 1 1 −12
Ba
2
NaNb
5
O
15
48(2) − 3.9495 3.9495 3.6008 −16.5
(“banana”)
92(4) 8 [4.534] 0.04038894 0.04014012 0.03219871 12
90(4) [4.534] 0 [4.534]
i
0 [4.534]
i
0 [4.534]
i
11.4 [4.534]
− − −
− − −
Part 4 4.4
874 Part 4 Functional Materials
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
General Static Dissipation Elastic Piezoelectric Elastooptic
dielectric tensor factor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
tan δ
1
c
11
d
31
p
11
Mohs hardness ε
S
22
tan δ
2
c
22
d
32
p
12
κ (W/mK) ε
S
33
tan δ
3
c
33
d
33
p
13
ε
T
11
(T (
◦
C), c
44
d
15
p
21
ε
T
22
f (kHz)) c
55
d
24
p
22
ε
T
33
c
66
d
h
p
23
c
12
(10
−12
C/N) p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Calcium tartrate 14.3 0.9
tetrahydrate, 10 −
Ca(C
4
H
4
O
6
) ·4H
2
O 20 [4.540]
a
−
(l-CTT) (30
◦
C, 100 Hz)
[4.540,541]
m-Chloronitrobenzene,
ClC
6
H
4
NO
2
(CNB)
2-Cyclooctylamino- 1.24
5-nitropyridine, −
C
13
H
19
N
3
O
2
(COANP) −
N, 2-Dimethyl-
4-nitrobenzenamine,
C
8
H
10
N
2
O
2
(MNMA)
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 875
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor
optical properties susceptibility
r
T
13
Transparency range (µm) n
X
n
Y
n
Z
d
31
r
T
23
dn
X
/dT (10
−5
K
−1
) A A A d
32
r
T
33
dn
Y
/dT (10
−5
K
−1
) B B B d
33
r
T
42
dn
Z
/dT (10
−5
K
−1
) C C C d
15
r
T
51
D D D d
24
(10
−12
m/V) E E E (10
−12
m/V)
F F F
0.28–1.4 [4.542] 1.5125 1.5220 1.5477 <0.015
− 1 1 1 0.20
− 1.26 1.30 1.38 0.14
− 0.0127273 0.0121495 0.0094521 1.73
0 [4.542]
i
0 [4.542]
i
0 [4.542]
i
0.90 [4.542]
− − −
− − −
1.6557 1.6626 1.624 4.6
2.4882 2.5411 2.2469 4
0.2384 0.2148 0.3722 7.8 [4.543]
0.1070 0.1122 0.0810 −
0.0091 [4.543]
i
0.0135 [4.543]
i
0.0092 [4.543]
i
−
− − −
− − −
0.63 [4.544] 0.41– ... [4.545] 1.6100 1.6383 1.7170 11.3
− − 2.3320 2.3994 2.5104 24
−
− 0.2215 0.2469 0.3689 10.8 [4.546,547]
− − 0.1686 0.1500 0.1780 −
− 0 [4.545]
i
0 [4.545]
i
0 [4.545]
i
−
− − −
− − −
8±2 0.5–2 [4.548] 1.936 1.506 13
– − 1.6797 2.1798 –
7.5±2 [4.548] − 1.7842 0.0736 2.6
− − 0.1571 0.1757 12 [4.548]
−
0 [4.548]
i
0 [4.548]
i
−
− −
− −
Part 4 4.4
876 Part 4 Functional Materials
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
General Static Dissipation Elastic Piezoelectric Elastooptic
dielectric tensor factor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
tan δ
1
c
11
d
31
p
11
Mohs hardness ε
S
22
tan δ
2
c
22
d
32
p
12
κ (W/mK) ε
S
33
tan δ
3
c
33
d
33
p
13
ε
T
11
(T (
◦
C), c
44
d
15
p
21
ε
T
22
f (kHz)) c
55
d
24
p
22
ε
T
33
c
66
d
h
p
23
c
12
(10
−12
C/N) p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Gadolinium molybdate, – 55(4) 1.5 [4.549] 0.19
Gd
2
(MoO
4
)
3
(GMO) – 71(3) 0.2 [4.8] 0.31
9.6 101(3) 0.5 [4.549] 0.175
– 25.2(8) − 0.215
– 25.8(2) − 0.235
10.2 [4.550] 33.1(3) − 0.175
12.8(46) 0.185
23.5(45) 0.23
27.2(76) [4.7]
c
0.115
−0.033
−0.028
0.035 [4.551]
(515–633 nm)
Lithium formate 1.46 3.24 [4.552,553] 19.15 −2.1(2)
monohydrate, − – 33.55 −6.7(5)
LiCOOH·H
2
O (LFM) − – 41.98 +9.2(7)
4.5(5)
a
[4.554,555] 15.02 −15.0(10)
5.0(5)
a
[4.554,555] 5.31 +1.2(2)
6.0(3)
a
[4.554,555] 4.89 [4.554–557]
8.62
8.40
22.77
[4.552,553]
c
Lithium gallium oxide, 4.187 7.0 [4.8] 140 −2.5 [4.558]
LiGaO
2
7.5 6.0 [4.8] 120 −4.7 [4.558]
(lithium metagallate) − 8.3 [4.558] 140 +8.6 [4.558]
7.18 [4.8] 57.1 −6.9 [4.558]
6.18 [4.8] 47.4 −6.0 [4.558]
8.78 [4.8] 69.0 +0.9 [4.8,274]
14
28
31 [4.558]
c
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 877
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
13
Transparency range (µm) n
X
n
Y
n
Z
d
31
r
T
23
dn
X
/dT (10
−5
K
−1
) A A A d
32
r
T
33
dn
Y
/dT (10
−5
K
−1
) B B B d
33
r
T
42
dn
Z
/dT (10
−5
K
−1
) C C C d
15
r
T
51
D D D d
24
(10
−12
m/V) E E E (10
−12
m/V)
F F F
+2.15(16) 1.8141 1.8145 1.8637 −2.3
−2.31(16) 1 1 1 +2.3
+0.123(15) 2.2450 2.24654 2.41957 −0.04
− 0.022693 0.0226803 0.0245458 −4.1
− 0 [4.321]
i
0 [4.321]
i
0 [4.321]
i
+4 [4.156,559]
[4.560,561] − − −
− − −
−1.0(1) 0.23–1.2 [4.562,563] 1.3595 (1 µm) 1.4694 (1 µm) 1.5055 (1 µm) 0.13
+3.2(2) − 1.4376 1.6586 1.6714 −0.60
−2.6(2) − 0.4045 0.5006 0.5928 +0.94 [4.12]
+1.0(2) − 0.01692601 0.023409 0.02534464 −
+2.4(2) 0.0005 [4.564]
i
0.0127 [4.564]
i
0.0153 [4.564]
i
−
[4.554–557] − − −
− − −
0.3–5 [4.251,565] 1.7477 1.7768 1.7791 +0.066
− (0.5 µm) [4.566] (0.5 µm) [4.566] (0.5 µm) [4.566] −0.14
− +0.57 [4.156,565]
− −
−
Part 4 4.4
878 Part 4 Functional Materials
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
General Static Dissipation Elastic Piezoelectric Elastooptic
dielectric tensor factor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
tan δ
1
c
11
d
31
p
11
Mohs hardness ε
S
22
tan δ
2
c
22
d
32
p
12
κ (W/mK) ε
S
33
tan δ
3
c
33
d
33
p
13
ε
T
11
(T (
◦
C), c
44
d
15
p
21
ε
T
22
f (kHz)) c
55
d
24
p
22
ε
T
33
c
66
d
h
p
23
c
12
(10
−12
C/N) p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Lithium triborate, 2.47
LiB
3
O
5
(LBO) 6
3.5 [4.200]
m-Nitroaniline; 3.9
(3-nitrobenzenamine, 4.2
meta-nitroaniline), 4.6 [4.567]
a
C
6
H
4
(NO
2
)NH
2
(mNA)
Potassium acid phthalate, 6.00(2) 17.6 −15.3(0) −0.61
KH(C
8
H
4
O
4
) 3.87(2) 13.3 +8.8(0) −0.25
4.34(2) 17.0 +5.5(0) −0.52
[4.568,569] 4.86 −7.1(0) −0.58
– 7.59 +4.3(0) −0.36
– 6.23 [4.568, 569] −0.60
4.34
a
[4.570] 7.4 − −0.84
10.4 −0.36
5.0 −0.90
[4.568,569] −0.26
−0.63
−0.13 (589 nm)
[4.571]
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 879
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
13
Transparency range (µm) n
X
n
Y
n
Z
d
31
r
T
23
dn
X
/dT (10
−5
K
−1
) A A A d
32
r
T
33
dn
Y
/dT (10
−5
K
−1
) B B B d
33
r
T
42
dn
Z
/dT (10
−5
K
−1
) C C C d
15
r
T
51
D D D d
24
(10
−12
m/V) E E E (10
−12
m/V)
F F F
0.16–2.6 [4.572] 1.5656 1.5905 1.6055 −0.67
−18 [4.573] 2.4542 2.5390 2.5865 0.85
−136 [4.573] 0.01125 0.01277 0.01310 0.04
−(63+21λ) [4.573] 0.01135 0.01189 0.01223 [4.12,14,572–574]
0.01388 0.01849 0.01862 −
0 4.3025 × 10
−5
4.5778× 10
−5
−
0 [4.575]
j
2.9131× 10
−5
3.2526× 10
−5
[4.575]
j
[4.575]
j
7.4(7) 0.5–2 [4.576, 577] 1.631 1.678 1.719 20
0.1(6) − 2.469 2.6658 2.8102 1.6
16.7(2) [4.578] − 0.1864 0.1626 0.1524 21 [4.543]
− − 0.16 0.1719 0.175 −
− 0.0199 [4.579]
i
0.0212 [4.579]
i
0.0294 [4.579]
i
−
− − −
− − −
r
b
≈ 1.8 [4.570] 0.3–1.7 1.63 1.64 1.48 0.21 (d
31
,1.15 µm)
with a narrow absorption (1.1 µm) [4.580] (1.1 µm) [4.580] (1.1 µm) [4.580] 0.06 (d
32
,1.15 µm)
band at 1.14 µm [4.580] 0.65 (d
31
,0.63 µm)
− 0.15 (d
32
,0.63 µm)
− −
− [4.580]
Part 4 4.4
880 Part 4 Functional Materials
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
General Static dielectric Dissipation Elastic stiffness Piezoelectric Elastooptic
tensor factor tensor tensor tensor
Material
g/cm
3
ε
S
11
tan δ
1
c
11
d
31
p
11
Mohs hardness ε
S
22
tan δ
2
c
22
d
32
p
12
κ (W/mK) ε
S
33
tan δ
3
c
33
d
33
p
13
ε
T
11
(T (
◦
C), c
44
d
15
p
21
ε
T
22
f (kHz)) c
55
d
24
p
22
ε
T
33
c
66
d
h
p
23
c
12
(10
−12
C/N) p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Potassium niobate, 4.617 37(2) 0.003 226 +9.8(7) |0.197|
d
KNbO
3
– 780(50) 0.002 270 −19.5(20) |0.115|
d
>3.5 [4.581] 24(2) 0.01 280 +24.5(15) |0.109|
e
160(10) (25
◦
C) 74.3 [4.582] |0.130|
d
1000(80) [4.583] 25.0 215(5) |0.234|
d
55(5) 95.5 159(5) |0.005|
e
(25
◦
C) 96 [4.583] [4.583] |0.64|
d
[4.583] − − |0.153|
d
− |0.075|
e
|0.57|
d
|0.45|
d
[4.584]
−
Potassium pentaborate 1.74 5.5 58.2 −0.35
tetrahydrate, 2.5 4.6 35.9 −2.3
KB
5
O
8
·4H
2
O(KB5) − 4.5 [4.585] 25.5 +5.5
− 16.4 +4.7
− 4.63 +20.3 [4.586]
− 5.7 −
22.9
17.4
23.1 [4.585]
Potassium titanyl 3.45 –
arsenate, KTiOAsO
4
3 –
(KTA) − –
12(1)
12(1)
18(1)
[4.587,588]
Potassium titanate 3.02 11.6(2) 0.004 159
(titanyl) phosphate, 5 11.0(2) ≤0.004 154
KTiOPO
4
(KTP) 2( X) 15.4(3) < 0.005 175 [4.589]
3( Y) 11.9(2) (10–10
3
MHz) −
3.3 ( Z) 11.3(2) ≈ 0.017 −
[4.590] ≥17.5(4) 0.017 −
[4.591] ≈ 0.35 −
(100 kHz) −
[4.591] −
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 881
Table 4.4-20 Orthorhombic, point group mm2(C
2v
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
13
Transparency range (µm) n
X
n
Y
n
Z
d
31
r
T
23
dn
X
/dT (10
−5
K
−1
) A A A d
32
r
T
33
dn
Y
/dT (10
−5
K
−1
) B B B d
33
r
T
42
dn
Z
/dT (10
−5
K
−1
) C C C d
15
r
T
51
D D D d
24
(10
−12
m/V) E E E (10
−12
m/V)
F F F
34(2) 0.4–4.5 [4.386] 2.2576 2.2195 2.1194 +11 [4.12–14]
6(1) For temperature-dependent 1 1 1 −13 [4.12–14]
63.4(10) dispersion relations, 1.44121874 1.33660410 1.04824955 −19.5 [4.12–14]
450(30) see [4.592] 0.07439136 0.06664629 0.06514225 16 [4.593]
120(10) [4.584] 2.54336918 2.49710396 2.37108379 17 [4.593]
0.01877036 0.01666505 0.01433172
0.02845018 0.02517432 0.01943289
[4.594]
k
[4.594]
k
[4.594]
k
0.165–1.4 [4.595] 1.4917 (0.5 µm) 1.4380 (0.5 µm) 1.4251 (0.5 µm) 0.04
− 1 1 1 0.003
− 1.1790826 1.0280852 0.9919090 0.05
− 0.0087815 0.0090222 0.0093289 (all at 0.5 µm)
0 [4.596,597]
i
0 [4.596,597]
i
0 [4.596,597]
i
−
− − − −
− − − [4.12, 598, 599]
15(1) 0.35–5.3 1.782 1.790 1.868 2.9
21(1) [4.587, 588, 600] 1.90713 2.15912 2.14786 5.2
40(1) − 1.23552 1.00099 1.29559 12.0
− − 0.0387775 0.0477160 0.0516153 −
− − 0.01025 [4.601]
i
0.01096 [4.601]
i
0.01436 [4.601]
i
−
[4.587,588] − − − [4.12,14,602–604]
l
− − −
+9.5(5) 0.35–4.5 [4.605, 606] 1.7381 1.7458 1.8302 2.2
+15.7(8) 0.61 [4.607]
m
3.0065 3.0333 3.3134 3.7
+36.3(18) 0.83 [4.607]
m
0.03901 0.04154 0.05694 14.6
9.3(9) 1.45 [4.607]
m
0.04251 0.04547 0.05658 1.9
7.3(7) [4.591] 0.01327 [4.608]
hm
0.01408 [4.608]
hm
0.01682 [4.608]
hm
3.7 [4.13]
l
− − −
− − −
Part 4 4.4