Martienssen W., Warlimont H. (Eds.). Handbook of Condensed Matter and Materials Data
Подождите немного. Документ загружается.
862 Part 4 Functional Materials
Table 4.4-16 Tetragonal, point group 42m (D
2d
) 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
14
p
11
Mohs hardness ε
S
33
tan δ
3
c
33
d
36
p
12
κ ⊥ c ε
T
11
c
44
(10
−12
C/N) p
13
κ c ε
T
33
( f (kHz)) c
66
p
31
(W/mK) c
12
p
33
c
13
p
44
(10
9
Pa) p
66
Rubidium dihydrogen 2.805 42.0 0.034 63(7) 4.0(3) 0.247
phosphate, RbH
2
PO
4
− 26.5 0.051 50.0(55) 37(1) 0.265
(RbDP, RDP) − 41.4 (38.6 GHz) 10.6(7) [4.427, 428] 0.248
− 27 [4.440, 441] 3.56(7) 0.229
[4.440,441] −6.0(6) 0.248
10.6(72) [4.7] −0.032
−0.032 [4.409,410]
Silver gallium selenide, 5.71 – 9.0
AgGaSe
2
3–3.5 – 3.7 [4.442]
1.1 (⊥ c) 10.5
1.0 ( c) 12.0 [4.442]
[4.200]
Silver gallium sulfide 4.58 10 87.9
(silver thiogallate), 3–3.5 14 [4.443]
a
75.8
AgGaS
2
1.5 (⊥ c) 24.1
1.4 ( c) 30.8
[4.200] 58.4
59.2
[4.444,445]
Urea, (NH
2
)
2
CO 1.318 5–8
a
[4.26] 23.5
<2.5 51.0
− 6.2
− 0.50
−0.50
7.5 [4.446]
Zinc germanium 4.12 15 See [4.447, 448]
diphosphide, ZnGeP
2
5.5 12 [4.112]
a
35 (⊥ c)
36 ( c)
[4.200]
a
These values for ε
ij
are neither at constant stress nor at constant strain.
b
The elastic stiffness constants were measured at constant electric field
c
E
.
c
May be only partially deuterated.
d
Adhav and Vlassopoulous [4.369] measured arsenates with low resistivity (≈ 10
8
Ω cm), and as a result their tan δ values are high
and ε may also be high. The data for RDA in [4.369] are incorrectly labeled ADA (remarks of the compiler).
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 863
Table 4.4-16 Tetragonal, point group 42m (D
2d
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
41
Transparency range (µm) n
o
n
e
d
36
r
T
63
dn
o
/dT (10
−5
K
−1
) A A (10
−12
m/V)
(10
−12
m/V) dn
e
/dT (10
−5
K
−1
) B B
C C
D D
E E
F F
10.3 0.22–1.5 [4.386, 436] 1.4926 1.4700 0.36 [4.438]
14.3 [4.449,450] −3.74 [4.392] 2.249885 2.159913
−2.73 [4.392] 0.01056 0.009515
0.007780475 0.00847799
3.688005 0.988431
127.1998253 [4.386]
e
127.692938 [4.386]
e
− −
4.5 (1.15 µm) 0.71–18 [4.451] 2.7008 2.6800 33 (10.6 µm) [4.12, 14]
3.9 (1.15 µm) 4.5 (3.39 µm) [4.452] 4.6453 5.2912
[4.453] 7.6 (3.39 µm) [4.452] 2.2057 1.3970
0.1879 0.2845
1.8377 1.9282
1600 [4.227]
f
1600 [4.227]
f
− −
4.0(2) 0.47–13 [4.454] 2.4540 2.4012 17.5 (1.06 µm) [4.12,14]
3.0(1) [4.455] For dn/ dT,see 3.40684 3.60728 11.2 (10.6 µm) [4.12, 14]
[4.456,457] 2.40065 1.94792
0.09311 0.11066
2.06248 2.24544
950 [4.457]
f
1030.7 [4.457]
f
− −
+1.03 (633 nm) 0.2–1.8 [4.458] 1.4811 1.5825 1.18 (0.6 µm) [4.458, 459]
−0.75 (633 nm) − 2.1823 2.51527
[4.460] − 0.0125 0.0240
0.03 0.03
0 [4.461]
h
0.0202
− 1.52
− 0.08771 [4.461]
h
1.8 (5 µm) 0.74–12 [4.462] 3.2324 3.2786 69 (10.6 µm) [4.12, 462]
− 21.18 [4.415] 4.4733 4.63318
[4.463] 23.01 [4.415] 5.26576 5.34215
0.13381 0.14255
1.49085 1.45785
662.55 [4.464,465]
f
662.55 [4.464,465]
f
− −
efgh
Dispersion relations (λ (µm), T =20
◦
C):
e
n
2
= A +
Bλ
2
λ
2
−C
+
D
λ
2
−E
.
f
n
2
= A +
Bλ
2
λ
2
−C
+
Dλ
2
λ
2
−E
.
g
n
2
= A +
B
λ
2
−C
−Dλ
2
.
h
n
2
= A +
B
λ
2
−C
+
D(λ
2
−E)
(λ
2
−E)+F
.
Part 4 4.4
864 Part 4 Functional Materials
Table 4.4-17 Tetragonal, point group 4mm (C
4v
) 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
33
tan δ
3
c
33
d
33
p
12
κ ⊥ c ε
T
11
c
44
d
15
p
13
κ c ε
T
33
( f (kHz)) c
66
d
h
p
31
(W/mK) c
12
(10
−12
C/N) p
33
c
13
p
44
(10
9
Pa) p
66
Barium titanate, BaTiO
3
a
6.02 1970 0.13 243 −33.4 See [4.443,466]
– 109 − 147.9 +68.5
1.34 [4.45] 2920 (24 GHz) 54.9 647.0 [4.467]
− 168 [4.468] [4.469] 120 −
128
123 [4.467]
b
Lead titanate, PbTiO
3
7.9 102(3) 0.02–0.05 s
E
11
= 7.2 −25
− 33.5(10) 0.02–0.05 s
E
33
= 32.5 +117
− 130–140 (0.1 GHz) s
E
44
= 12.2 61 [4.470, 471]
− 105–110 [4.472] s
E
66
= 7.9 −
[4.472] s
E
12
=−2.1
[4.470,471]
c
Lithium tetraborate, 2.44 78.80 130.9(42)
Li
2
B
4
O
7
5 71.45 55.4(11)
− 82.61 57.3(14)
− 87.92 [4.473] 46.4(7)
1.5(12)
30(4) [4.7]
Potassium lithium niobate, 4.3 271 220 −14
K
3
Li
2
Nb
5
O
15
(KLINBO) − 83 109 57
− 306 68 68 [4.474]
d
− 115 70 −
(405
◦
C) 74
[4.474]
d
59 [4.474]
bd
a
Top-seeded solution grown (TSSG) BaTiO
3
.
b
The elastic stiffness constants were measured at constant electric field
c
E
.
c
Units not specified in original, but probably 10
−12
Pa
−1
.
d
The stoichiometry was K
2.89
Li
1.55
Nb
5.11
O
15
instead of K
3
Li
2
Nb
5
O
15
.
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 865
Table 4.4-17 Tetragonal, point group 4mm (C
4v
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
13
Transparency range (µm) n
o
n
e
d
31
r
T
33
dn
o
/dT (10
−5
K
−1
) A A d
33
r
T
51
dn
e
/dT (10
−5
K
−1
) B B (10
−12
m/V)
(10
−12
m/V) C C
at λ =633 nm D D
E E
F F
8 0.14–10 2.3218 2.2894 −14.4
105 − 1 1 −5.4 [4.475,476]
1300 [4.477] − 4.195 4.073
0.04964 0.04456
0 [4.478]
e
0 [4.478]
e
− −
− −
13.8
r
S
13
0.6–6 [4.479] 2.5715 2.5690 +35.3
5.9
r
S
33
[4.480]
− 1 1 −7.0 [4.479]
− 5.359 5.365
0.0502 0.0471
0 [4.479]
e
0 [4.479]
e
− −
− −
+3.74 0.17–3.5 [4.481, 482] 1.5968 (1.1 µm) 1.5422 (1.1 µm) 0.12
+3.67 ≈ 0.1 [4.482] 2.564310 2.386510 0.93 [4.483]
−0.11 [4.484] ≈ 0.3 [4.482] 0.012337 0.010664
0.013103 0.012878
0.019075 [4.482]
f
0.012813 [4.482]
f
− −
− −
8.9 [4.485,486] 0.4–5 [4.485–487] 2.208 2.112 11.8 (0.8 µm) [4.487]
78 [4.485,486] − 1 1 10.5 [4.485, 486]
80 [4.488] − 3.708 3.349
0.04601 0.03564
0 [4.321]
e
0 [4.321]
e
− −
− −
ef
Dispersion relations (λ (µm), T = 20
◦
C):
e
n
2
= A +
B
λ
2
−C
−Dλ
2
.
f
n
2
= A +
B
λ
2
−C
+
D(λ
2
−E)
(λ
2
−E) + F
.
Part 4 4.4
866 Part 4 Functional Materials
Table 4.4-18 Orthorhombic, point group mmm (D
2h
) materials
General Static Dissipation Elastic Elastic Piezooptic
dielectric tensor factor stiffness tensor compliance tensor tensor
Material
g/cm
3
ε
11
tan δ
1
c
11
s
11
Mohs hardness ε
22
c
22
s
22
κ (W/mK) ε
33
c
33
s
33
c
44
s
44
c
55
s
55
c
66
s
66
c
12
s
12
c
13
s
13
c
23
s
23
(10
9
Pa)
10
−12
Pa
−1
Magnesium silicate, 3.217 6.2
a
[4.26] 328.5(13) 3.37 q
11
+q
12
+q
13
= 0.16
Mg
2
SiO
4
(forsterite) 7 200.0(1) 5.84 q
21
+q
22
+q
23
= 0.20
5.12 [4.332] 235.3(7) 4.93 q
31
+q
32
+q
33
= 0.27
66.9(6) 15.0 (589 nm) [4.489]
81.3(1) 12.3
80.9(2) 12.4
68.0(16) −0.85
68.7(7) −0.71
72.8(6) [4.7] −1.56 [4.7]
Yttrium aluminate, 5.35 16–20
a
[4.48] 0.001 [4.48]
YAlO
3
(YAP, YALO) 8.5
11 [4.259]
a
It is not clear which relative dielectric constant ε
ij
is specified.
Table 4.4-19 Orthorhombic, point group 222 (D
2
) materials
General Static Elastic Piezoelectric Elastooptic
dielectric tensor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
c
11
d
14
p
11
ε
S
22
c
22
d
25
p
12
ε
S
33
c
33
d
36
p
13
ε
T
11
c
44
(10
−12
C/N) p
21
ε
T
22
c
55
p
22
ε
T
33
c
66
p
23
c
12
p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Barium formate, 3.261 6.9
a
[4.490,491] s
E
44
= 78.5 −5.6(5)
Ba(COOH)
2
6.7
a
[4.490,491] s
E
55
= 60 −10.2(10)
5.2
a
[4.490,491] s
E
66
= 82.5 +1.9(1)
7.9 [4.331] [4.331] [4.8,492]
5.9 [4.331]
7.5 [4.331]
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 867
Table 4.4-18 Orthorhombic, point group mmm (D
2h
) materials, cont.
General Refractive index
optical properties
Transparency range (µm) n
X
n
Y
n
Z
dn
X
/dT (10
−5
K
−1
) A A A
dn
Y
/dT (10
−5
K
−1
) B B B
dn
Z
/dT (10
−5
K
−1
) C C C
0.27–5.9 [4.87] 1.9111 (1 µm) 1.9251 (1 µm) 1.9337 (1 µm)
1.45 [4.493]
1 1 1
– 2.61960 2.67171 2.70381
0.98 [4.493]
0.012338 [4.494]
b
0.012605 [4.494]
b
0.012903 [4.494]
b
b
Dispersion relation (λ (µm), T =20
◦
C):
n
2
= A +
Bλ
2
λ
2
−C
.
Table 4.4-19 Orthorhombic, point group 222 (D
2
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor
optical properties susceptibility
r
T
41
Transparency range (µm) n
X
n
Y
n
Z
d
14
r
T
52
dn
X
/dT (10
−5
K
−1
) A A A d
25
r
T
63
dn
Y
/dT (10
−5
K
−1
) B B B d
36
(10
−12
m/V) dn
Z
/dT (10
−5
K
−1
) C C C (10
−12
m/V)
D D D
+1.81(18) 0.245–2.2, 1.6214 1.5819 1.5585 0.10
−2.03(20) 4.8–5.1 [4.495] 2.619 2.491 2.421 0.11
+0.48(10) [4.492]
− 0.0177 0.0184 0.016 0.11 [4.495]
− 0.039 0.035 0.042
− 0 [4.495]
b
0 [4.495]
b
0 [4.495]
b
Part 4 4.4
868 Part 4 Functional Materials
Table 4.4-19 Orthorhombic, point group 222 (D
2
) materials, cont.
General Static Elastic Piezoelectric Elastooptic
dielectric tensor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
c
11
d
14
p
11
ε
S
22
c
22
d
25
p
12
ε
S
33
c
33
d
36
p
13
ε
T
11
c
44
(10
−12
C/N) p
21
ε
T
22
c
55
p
22
ε
T
33
c
66
p
23
c
12
p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Cesium triborate, 3.357
CsB
3
O
5
(CBO)
α-Iodic acid, HIO
3
4.64 7.5 57(2) −26(1) 0.418(16)
12.4 43(1) −18(1) 0.308(330)
8.1 [4.331]
a
30.0(3) +28(1) 0.313(56)
21(1) [4.8, 496] 0.304(36)
16(1) 0.322(31)
17.8(13) 0.307(57)
6(3) 0.527(48)
15(2) 0.340(31)
11.5(5) [4.7] 0.377(103)
−0.077(66)
0.107(12)
0.092(8) [4.11]
3-Methyl 4-nitropyridine 1.55 3.77 13.29 0.45
1-oxide, C
6
N
2
O
3
H
6
5.41 18.14 0.53
(POM)
3.77 [4.497]
a
12.20 0.49
7.8 0.53
5.2 0.57
5.4 0.42
4.9 0.36
−2.6 0.70
10.6 [4.498] 0.64
−0.078
−0.074
−0.046 (514.5nm)
[4.498]
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 869
Table 4.4-19 Orthorhombic, point group 222 (D
2
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor
optical properties susceptibility
r
T
41
Transparency range (µm) n
X
n
Y
n
Z
d
14
r
T
52
dn
X
/dT (10
−5
K
−1
) A A A d
25
r
T
63
dn
Y
/dT (10
−5
K
−1
) B B B d
36
(10
−12
m/V) dn
Z
/dT (10
−5
K
−1
) C C C (10
−12
m/V)
D D D
0.170–3.0 [4.499] 1.5194 1.5505 1.5781 1.5 [4.499]
− 2.3035 2.3704 2.4753 −
− 0.01378 0.01528 0.01806 −
− 0.01498 0.01581 0.01752
0.00612 [4.500]
b
0.00939 [4.500]
b
0.01654 [4.500]
b
6.6(3) 0.35–1.6 E a 1.8129 1.9273 1.9500 8.3 [4.501]
7.0(5)
0.35–2.2 E c 2.5761 2.4701 2.6615 −
6.0(3) [4.502,503]
[4.504,505] 0.6973 1.2054 1.1316 −
− 0.05550736 0.05044516 0.05202961
− 0.0201 [4.505]
c
0.0152 [4.505]
c
0.0398 [4.505]
c
|3.6(6)| 0.4–3.3 [4.506] 1.625 1.668 1.829 5.3–6.0 [4.506]
|5.1(4)|
− 2.4529 2.4315 2.5521 −
|2.6(3)| [4.507]
− 0.1641 0.3556 0.7962 −
− 0.128 0.1276 0.1289
0 [4.506]
c
0.0579 [4.506]
c
0.0941 [4.506]
c
Part 4 4.4
870 Part 4 Functional Materials
Table 4.4-19 Orthorhombic, point group 222 (D
2
) materials, cont.
General Static Elastic Piezoelectric Elastooptic
dielectric tensor stiffness tensor tensor tensor
Material
g/cm
3
ε
S
11
c
11
d
14
p
11
ε
S
22
c
22
d
25
p
12
ε
S
33
c
33
d
36
p
13
ε
T
11
c
44
(10
−12
C/N) p
21
ε
T
22
c
55
p
22
ε
T
33
c
66
p
23
c
12
p
31
c
13
p
32
c
23
p
33
(10
9
Pa) p
44
p
55
p
66
Potassium sodium 1.767 245 40(16) 2300 0.35
tartrate tetrahydrate,
– 55(25) −56 0.41
KNa(C
4
H
4
O
6
) ·4H
2
O – 63(23) 11.8 [4.331] 0.42
(Rochelle salt)
1100 11.9(38) 0.37
11.1 3.1(2) 0.28
9.2 [4.331] 10.0(16) 0.34
24(29) 0.36
32(20) 0.35
23.8(438) 0.36
[4.7] −0.030
0.0046
−0.025 (589 nm) [4.508]
Sodium ammonium 10(1)
a
36.8 ≈ 13 −0.48
tartrate tetrahydrate, 10(1)
a
50.9 38 −0.61
Na(NH
4
)C
4
H
4
O
6
·4H
2
O 10(1)
a
[4.509] 55.4 ≈ 7 −0.68
(Ammonium Rochelle salt)
9.0 10.6 [4.510, 511] −0.55
8.9 3.03 −0.76
10.0 [4.331] 8.70 −0.83
27.2 −0.44
30.8 −0.57
34.7 [4.331] −0.71
0.0077
0.013
−0.0026 (589 nm)
[4.512]
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 871
Table 4.4-19 Orthorhombic, point group 222 (D
2
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor
optical properties susceptibility
r
T
41
Transparency range (µm) n
X
n
Y
n
Z
d
14
r
T
52
dn
X
/dT (10
−5
K
−1
) A A A d
25
r
T
63
dn
Y
/dT (10
−5
K
−1
) B B B d
36
(10
−12
m/V) dn
Z
/dT (10
−5
K
−1
) C C C (10
−12
m/V)
D D D
8.3 [4.513,514] <250 to >850 nm 1.49540 1.49183 1.49001 χ
(3)
zzzz
− −6.54 [4.515,516] (585 nm) [4.517] (585 nm) [4.517] (585 nm) [4.517] = 0.8×10
−22
V
−2
m
2
− −5.57 [4.515,516] 1.5622 1.5576 1.5566 χ
(3)
xxxx
−6.00 [4.515,516] (260 nm) (260 nm) (260 nm) = 0.4×10
−22
V
−2
m
2
[4.515,516] [4.515, 516] [4.515,516] (at 576.8 and 627 nm)
A =1 [4.518]
B = 1.1851057
C = 0.0113636
D =0
[4.515,516]
c
r
52
= 2.1 1.4984 1.4996 1.4953
[4.519,520] (589 nm) (589 nm) (589 nm)
[4.521,522] [4.521, 522] [4.521,522]
a
The relative dielectric constant ε
ij
was measured neither at constant stress nor at constant strain.
bc
Dispersion relations (λ (µm), T =20
◦
C):
b
n
2
= A +
B
λ
2
−C
−Dλ
2
.
c
n
2
= A +
Bλ
2
λ
2
−C
−Dλ
2
.
Part 4 4.4