Martienssen W., Warlimont H. (Eds.). Handbook of Condensed Matter and Materials Data
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852 Part 4 Functional Materials
Table 4.4-13 Tetragonal, point group 4/mmm (D
4h
) materials
General Static Dissipation Elastic Elastic Elastooptic
dielectric tensor factor stiffness tensor compliance tensor tensor
Material
g/cm
3
ε
S
11
tan δ
1
c
11
s
11
p
11
Mohs hardness ε
S
33
c
33
s
33
p
12
κ ⊥ c ε
T
11
c
44
s
44
p
13
κ c ε
T
33
c
66
s
66
p
31
(W/mK) c
12
s
12
p
33
c
13
s
13
p
44
(10
9
Pa)
10
−12
Pa
−1
p
66
Magnesium fluoride, MgF
2
3.177 5.85 138(7) 12.6(1) 0.041
6 4.87 [4.21]
a
201(10) 6.0(3) 0.119
21 (⊥ c) 56.5(5) 17.7(2) 0.078
30 ( c) 96(2) 10.5(2) −0.099
[4.200] 88(7) −7.2(2) 0.014
62(4) [4.7] −1.7(1) [4.7] −
−0.0475 [4.350]
Titanium dioxide, TiO
2
4.26 85 0.017 [4.79] 269(3) 6.8(3) 0.012(4)
(rutile) 6–6.5 190 [4.79]
a
− 480(5) 2.60(1) 0.162(16)
8.8 (⊥ c) 124(1) 8.06(5) −0.157(12)
(40
◦
C) 192(2) 5.21(5) −0.092(9)
12.6 ( c) 177(4) −4.0(3) −0.059(3)
[4.262] 146(6) [4.7] −0.85(3) [4.7] 0.020
−0.060 [4.351]
Yttrium vanadate, YVO
4
4.22
(YVO) 5
5.32 (⊥ c)
5.10 ( c)
[4.48]
a
These values for ε
ij
are neither at constant stress nor at constant strain.
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 853
Table 4.4-13 Tetragonal, point group 4mmm (D
4h
) materials, cont.
General Refractive index Nonlinear dielectric
optical properties susceptibility
Transparency range (µm) n
o
n
e
χ
(3)
dn
o
/dT (10
−5
K
−1
) A A
dn
e
/dT (10
−5
K
−1
) B B
C C
D D
E E
0.12–7.5 1.48 (0.150 µm) 1.49 (0.150 µm) [4.21]
0.17 (0.4 µm) 1.423 (0.200 µm) 1.437 (0.200 µm)
0.23 (0.4 µm) [4.21] 1.3776 (0.590 µm) 1.3894 (0.590 µm)
1.373 (1.05 µm) 1.385 (1.05 µm)
1.32 (6.00 µm) 1.33 (6.00 µm)
1.29 (7.50 µm) 1.30 (7.50 µm)
dispersion relations, see [4.43]
b
dispersion relations, see [4.43]
b
0.42–4.0 [4.84] 2.4851 2.7488 See [4.352]
0.4 (0.4 µm) [4.353] 5.913 7.197
−0.9(0.4 µm) [4.353] 0.2441 0.3322
0.0803 0.0843
0 [4.353]
c
0 [4.353]
c
− −
0.4–5 1.9573 2.1652
0.85 3.77834 4.59905
0.3 [4.354] 0.069736 0.110534
0.04724 0.04813
0.0108133 [4.354]
d
0.0122676 [4.354]
d
− −
bcd
Dispersion relations (λ (µm), T =20
◦
C):
b
n
2
o
= 1.27620 +
0.60967λ
2
λ
2
−0.08636
2
+
0.0080λ
2
λ
2
−18.0
2
+
2.14973λ
2
λ
2
−25.0
2
;
n
2
e
= 1.25385 +
0.66405λ
2
λ
2
−0.088504
2
+
1.0899λ
2
λ
2
−22.2
2
+
0.1816λ
2
λ
2
−24.4
2
+
2.1227λ
2
λ
2
−40.6
;
c
n
2
= A +
Bλ
2
λ
2
−C
+
Dλ
2
λ
2
−E
;
d
n
2
= A +
B
λ
2
−C
−Dλ
2
.
Part 4 4.4
854 Part 4 Functional Materials
Table 4.4-14 Tetragonal, point group 4/m (C
4h
) materials
General Elastic Elastic Elastooptic
stiffness tensor compliance tensor tensor
Material
g/cm
3
c
11
s
11
p
11
Mohs hardness c
33
s
33
p
12
κ ⊥ c c
44
s
44
p
13
κ c c
66
s
66
p
16
(W/mK) c
12
s
12
p
31
c
13
s
13
p
33
c
16
s
16
p
44
(10
9
Pa)
10
−12
Pa
−1
p
45
p
61
p
66
Lead molybdate, PbMoO
4
6.95 107.2(19) 20.8(2) 0.253(23)
2.5–3 93.2(13) 16.3(8) 0.253(23)
150 (⊥ c) 26.4(3) 37.9(4) 0.273(43)
150 ( c) 34.8(8) 42.3(20) 0.015(4)
[4.355] 61.9(55) −11.8(6) 0.163(20)
52.0(8) −5.0(5) 0.298(12)
−15.8(18) 14.8(12) 0.04(0)
[4.7] [4.356] −0.01(0)
0.025(21)
0.046(5)
(477–633 nm) [4.357]
Yttrium lithium fluoride, 3.995 121 12.8
YLiF
4
(YLF) 4–5 156 7.96
7.2 (⊥ c) 40.9 24.4
5.8 ( c) 17.7 63.6
[4.358] 60.9 −6.0
52.6 −2.3
−7.7 [4.359] 8.16 [4.359]
a
Dispersion relation (λ (µm), λ>0.5 µm, T = 20
◦
C):
n
2
= A +
Bλ
2
λ
2
−C
.
Table 4.4-15 Tetragonal, point group 422 (D
4
) 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
14
p
11
Mohs hardness ε
S
33
tan δ
3
c
33
(10
−12
C/N) p
12
κ ⊥ c ε
T
11
c
44
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
Tellurium dioxide, TeO
2
5.99 22.7 [4.360] 0.0011 55.9(2) 8.13(70) 0.007
(paratellurite)
4 24.9
a
[4.361] 0.012 105.5(4) [4.360] 0.187
3.0(3) [4.362] 22.9(10) (100 kHz) 26.7(2) 0.340
− [4.360] [4.360] 66.3(4) 0.091
24.7(15) 51.6(3) 0.240
[4.360] 23.9(22) [4.7] −0.17
−0.046 [4.363]
a
This value for ε
33
is neither at constant stress nor at constant strain.
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 855
Table 4.4-14 Tetragonal, point group 4/m (C
4h
) materials, cont.
General Refractive index
optical properties
Transparency range (µm) n
o
n
e
dn
o
/dT (10
−5
K
−1
) A A
dn
e
/dT (10
−5
K
−1
) B B
C C
0.42–5.5 [4.364] 2.38 (633 nm) [4.364] 2.25 (633 nm) [4.364]
−(3.0±0.2)n
o
1 1
−(1.8±0.2)n
e
[4.355] 4.0650407 3.7037037
0.0536585 [4.355]
a
0.0400000 [4.355]
a
0.18–6.7 1.448 1.470
−0.2
1.38757 1.31021
−0.43 [4.354]
0.70757 0.84903
0.00931 0.00876
0.18849 0.53607
50.99741 [4.354]
c
134.9566 [4.354]
c
c
n
2
= A +
Bλ
2
λ
2
−C
+
Dλ
2
λ
2
−E
.
Table 4.4-15 Tetragonal, point group 422 (D
4
) materials, cont.
Electrooptic General Refractive index Nonlinear dielectric
tensor optical properties susceptibility
r
T
41
Transparency range (µm) n
o
n
e
d
14
(10
−12
m/V) dn
o
/dT (10
−5
K
−1
) A A (10
−12
m/V)
at λ =633 nm dn
e
/dT (10
−5
K
−1
) B B
C C
D D
E E
0.62 [4.365] 0.35–6 [4.366] 2.2005 2.3431 0.39 [4.367]
0.9 (0.644 µm) 1 1
0.8 (0.644 µm) [4.368] 2.584 2.823
0.0180 0.0180
1.157 1.542
0.0696 [4.368]
b
0.0692 [4.368]
b
b
Dispersion relation (λ (µm), T =20
◦
C):
n
2
= A +
Bλ
2
λ
2
−C
+
Dλ
2
λ
2
−E
Part 4 4.4
856 Part 4 Functional Materials
Table 4.4-16 Tetragonal, point group 42m (D
2d
) 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
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
Ammonium dideuterium 1.885 70
a
[4.369] 0.003 62.1 10 −
phosphate, [4.370,371] 26
a
[4.369] 0.015 29.9 75 [4.372] −
ND
4
D
2
PO
4
(AD
∗
P, DADP) − 72 [4.372] (1 kHz) 9.1 −
− 22 [4.372] [4.369] 6.1 −
− −5 −
14 [4.372]
b
−
0.04 [4.373,374]
Ammonium dihydrogen 2.310 74 [4.375] 67.5 36.5
arsenate, − 13 [4.375] 30.2 27.5
NH
4
H
2
AsO
4
(ADA) − 75 [4.376] 6.85 [4.377, 378]
− 14 [4.376] 6.39
−10.6
16.5 [4.379]
Ammonium dihydrogen 1.80 55.5(15) 0.001 67.3(27) 1.76 0.302(12)
phosphate, 2.0 15.0(5) 0.004 33.7(7) 48.31 [4.380] 0.252(17)
NH
4
H
2
PO
4
(ADP) 1.26 (⊥ c) 56.0(15) (1 kHz) 8.6(2) 0.204(33)
0.71 ( c) 15.5(5) [4.369] 6.02(6) 0.191(6)
(315 K) [4.97,98] 5.0(13) 0.219(49)
[4.262] 19.8(6) [4.7] −0.058
−0.088(17)
(589–633 nm) [4.381]
Cadmium germanium 5.60 98.0
arsenide, CdGeAs
2
3.5–4 86.6
4.18 [4.140] 43.2
− 42.3
60.5
59.6 [4.382]
Cadmium germanium
phosphide, CdGeP
2
Cesium dideuterium – 0.57 10.5 0.223
arsenate, – 0.38 125.4 0.271
CsD
2
AsO
4
(CD
∗
A, DCDA) 74 (1 kHz) [4.383]
c
0.160
61 [4.369]
cd
[4.369]
cd
0.206
0.133
−0.061 [4.384,385]
−
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 857
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
0.22–1.7 1.5049 1.4659 0.43 (0.6943 µm)
[4.386–389] 2.279481 2.151161 [4.390,391]
− 1.215879 1.199009
− 57.97555433 126.6005279
0.010761 0.009652
0.013262977 [4.386]
e
0.009712103 [4.386]
e
33.5 (550 nm) 0.22–1.2 [4.386] 1.5550 1.5081 0.43 [4.386]
9.2 (550 nm) −4.56 [4.392] 2.443449 2.275962
[4.284,369] 1.25 [4.392] 2.017752 1.59826
57.83514282 126.8851303
0.016757 0.014296
0.018272821 [4.386]
e
0.016560859 [4.386]
e
26.0 (633 nm) 0.18–1.53 [4.386, 393] 1.5065 1.4681 0.47 [4.12, 14]
8.7 (633 nm) −4.93 [4.392] 2.302842 2.163510
0 [4.392] 15.102464 5.919896
400 400
0.011125165 0.009616676
0.013253659 [4.394]
e
0.012989120 [4.394]
e
2.5–15 [4.395] 3.5046 (10.6 µm) 3.5911 (10.6 µm) 282 (10.6 µm)
− 10.1064 11.8018 [4.395, 396]
− 2.2988 1.2152
1.0872 2.6971
1.6247 1.6922
1370 [4.227]
f
1370 [4.227]
f
0.9–12 [4.396] 3.1422 (10.6 µm) 3.1563 (10.6 µm) 100 (10.6 µm)
− 5.9677 6.1573 [4.396]
− 4.2286 4.0970
0.2021 0.2330
1.6351 1.4925
671.33 [4.397]
f
671.33 [4.397]
f
– 0.27–1.66 [4.398] 1.5499 1.5341 0.402 [4.398]
38.8 (700 nm) −2.33 [4.392] 2.40817 2.345809
[4.399] −1.67 [4.392] 2.2112173 0.651843
126.871163 127.3304614
0.015598 0.015141
0.019101728 [4.386]
e
0.016836101 [4.386]
e
Part 4 4.4
858 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
Cesium dihydrogen 3.53 58.0
a
[4.400]
d
15 51.6 5.6(10) 0.238(58)
arsenate, − 34.0
a
[4.400]
d
13 39.9 123(8) [4.401,402] 0.225(0)
CsH
2
AsO
4
(CsDA, CDA) − 61 [4.369]
d
(1 kHz) 6.66 0.211(19)
− 29 [4.369]
d
[4.369] 1.7 0.200(4)
0.56 0.220(12)
1.33 −0.042
[4.403,404] |0.065| (633 nm)
[4.384,385]
Cesium lithium borate, –
CsLiB
6
O
10
(CLBO) 4
−
−
Copper gallium selenide,
CuGaSe
2
Copper gallium sulfide, 4.45 9.3
a
CuGaS
2
− 10
a
[4.112]
−
−
Potassium dideuterium 2.890 [4.405]
c
71
a
0.02 74.6 22.5
arsenate, − 33
ad
[4.369] 0.20 69.3 24.8 [4.406]
KD
2
AsO
4
(KD
∗
A, DKDA) − (≈ 90% (1 kHz) 9.88 (≈ 90%
− deuterated) [4.369]
d
6.17 deuterated)
(≈ 90% 12.4
deuterated) 33.9 [4.406]
Potassium dideuterium 2.355 47.1(24)
a
0.0068(17) 67.4 – 0.241
phosphate, 2.5 [4.177]
c
0.0072(18) 54.5 58 [4.407]
c
0.247
KD
2
PO
4
(KD
∗
P, DKDP) 2.09 (⊥ c) 48 [4.375]
c
(1 GHz) 12.6 0.245
1.86 ( c) – [4.296]
c
5.94 0.236
[4.386] 50(2) [4.407]
c
−5.8 0.245
12.2 [4.408] −0.035
−0.072 [4.409,410]
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 859
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
– 0.26–1.43 [4.398] 1.5514 1.5356 0.402 [4.398]
19.1 (700 nm) −2.87 [4.392] 2.420405 2.350262
[4.284] −2.21 [4.392] 1.403336 0.685328
57.82416181 127.2688578
0.016272 0.015645
0.018005614 [4.386]
e
0.014820871 [4.386]
e
0.18–2.75 [4.411] 1.4854 1.4352 0.86 [4.411]
−0.104λ
2
+0.035λ −1.291 2.2145 2.0588
[4.412] 0.00890 0.00866
0.331λ
2
−0.243λ −0.84 0.02051 0.01202
[4.412] 0.01413 [4.412]
g
0.00607 [4.412]
g
− −
0.73–17 [4.413] 2.8358 (1.0 µm) 2.8513 (1.0 µm) 27 (10.6 µm) [4.413]
− 2.7430 (2.0 µm) 2.7510 (2.0 µm)
− 2.7133 (6.0 µm) [4.413] 2.7192 (6.0 µm)
[4.413]
1.76 (633 nm) 0.52–12 [4.414] 2.4360 (10.6 µm) 2.4201 (10.6 µm) 9.0 (10.6 µm)
− 5.9 [4.415] 4.0984 4.4834 [4.414]
[4.112] 6.0 [4.415] 2.1419 1.7316
0.1225 0.1453
1.5755 1.7785
738.43 [4.414]
f
738.43 [4.414]
f
– 0.22–2.3 [4.416] 0.39 [4.386]
18.2 (550 nm) −
[4.284] −
8.8(4) (546 nm) 0.2–2.1 [4.387, 417] 1.4928 1.4555 0.37 [4.12, 14]
[4.418] −3.1 [4.392] 1.661145 1.687499
25.8 (633 nm) −2.1 [4.392] 0.586015 0.44751
[4.419] 0.016017 0.017039
0.691194 0.596212
30 [4.397]
f
30 [4.397]
f
Part 4 4.4
860 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
Potassium dihydrogen 2.87 53 [4.420] 0.007 64.8 17.1 –
arsenate, − 18 [4.420] 0.008 48.2 19.1 [4.406] –
KH
2
AsO
4
(KDA) − 53.7 [4.421] (10 GHz) 10.75 –
− 21.0 [4.421] [4.420] 6.63 –
0.77 –
13.6 [4.422] –
0.020 [4.373,374]
Potassium dihydrogen 2.3383 42.5(15) 0.004 71.2(14) 3.5(15) 0.256(18)
phosphate, 2.5 20.0(5) (9.2 GHz) 57(1) 22.4(10) 0.254(19)
KH
2
PO
4
(KDP) 1.34 (⊥c) 43.2(15) [4.423] 12.6(4) [4.401, 402] 0.224(34)
(42
◦
C) 20.8(5) 0.0005 6.2(1) 0.227(8)
1.21 ( c) [4.97, 98] (1 GHz) −5.0(11) 0.200(54)
[4.262] [4.97,98] 14.1(14) [4.7] −0.265(10)
−0.063(6)
(589–633 nm)
[4.409,410]
Rubidium dideuterium 3.333 72
a
1.6 49.3 14.6
arsenate, RbD
2
AsO
4
− 41
ac
[4.369] 2.3 38.6 45.8
c
(RbD
∗
A, RD
∗
A, DRDA) − (1 kHz) 9.48 [4.424]
− [4.369]
c
4.08
−19.3
4.9 [4.424]
Rubidium dideuterium – 3.3(3)
phosphate, RbD
2
PO
4
72
a
52(1)
(RbD
∗
P, RD
∗
P, DRDP) [4.425,426] See [4.427, 428]
c
Rubidium dihydrogen 3.28 54.5
a
2.1 51.0 9.9 0.227
arsenate, RbH
2
AsO
4
− 28.5
a
[4.429] 5.2 [4.429] 39.2 28.5 0.239
(RbDA, RDA) − 10.4 [4.400, 424] 0.200
− 4.31 0.205
−18.9 0.182 [4.430,431]
2.3 [4.424] –
0.023 [4.373,374]
Part 4 4.4
Dielectrics and Electrooptics 4.4 Tables of Numerical Data for Dielectrics and Electrooptics 861
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
12.5 (550 nm) 0.216–1.67 1.5509 1.5059 0.41 [4.228]
10.9 (550 nm) [4.386,387, 390, 391] 2.424647 2.262579
[4.369,399] −3.95 [4.392] 3.742954 0.769288
−2.27 [4.392] 126.9036045 127.0537007
0.015841 0.013461
0.018624061 [4.386]
e
0.016165851 [4.386]
e
−8.277(7) 0.174–1.57 1.4938 1.4599 0.39 [4.12,14]
(589 nm) [4.393,417,432] 2.259276 2.132668
+10.22 −3.4 [4.392] 0.01008956 0.008637494
(589 nm) [4.433] −2.87 [4.392] 0.012942625 0.012281043
13.00522 3.2279924
400 [4.434,435]
f
400 [4.434,435]
f
– 0.26–1.7 [4.386] 1.5392 1.5091 0.31 [4.386]
21.4 (550 nm) − 2.373255 2.270806
[4.399] − 1.979528 0.275372
126.9867549 58.08499107
0.01543 0.013592
0.015836964 [4.386]
e
0.01596609 [4.386]
e
0.22–1.5 [4.386,436] 1.4913 1.4681 0.38 [4.386]
− 2.235596 2.152727
− 0.010929 0.010022
0.001414783 0.001379157
2.355322 0.691253
126.8547185 [4.386]
e
127.0144778 [4.386]
e
13.5 (550 nm) 0.26–1.46 [4.437] 1.5405 1.5105 0.4 (0.694 µm)
[4.369] −3.37 [4.392] 2.390661 2.27557 [4.438, 439]
14.8 (550 nm) −2.21 [4.392] 3.487176 0.720099
[4.399] 126.7648558 126.6309092
0.015513 0.013915
0.018112315 [4.386]
e
0.01459264 [4.386]
e
Part 4 4.4