Appendix 2: Material Constants
Vacuum permittivity ε 0 ¼ 8.854 Â 10
À12 F/m
Vacuum permeability μ 0 ¼ 12.57 Â 10
À7 H/m
Elementary charge q ¼ 1.602 Â 10
À19 C
Boltzmann constant k B ¼1.381 Â 10
À23 J/K
k B T/q ¼ 0.0259V at room temperature 300 K [1]
Aluminum nitride (AlN) [2]
ρ ¼ 3260 kg=m
3
c pq
 à ¼
345 125 120
0
0
0
125 345 120
0
0
0
120 120 395
0
0
0
0
0
0
118
0
0
0
0
0
0
118
0
0
0
0
0
0
110
0
B
B
B
B
B
B
B
B
@
1
C
C
C
C
C
C
C
C
A
 10
9 N=m
2
e ip
 à ¼
0
0
0
0
À0:48 0
0
0
0
À0:48
0
0
À0:58 À0:58 1:55
0
0
0
0
B
@
1
C
A C=m
2
ε ij
 à ¼
8:0 0
0
0 8:0 0
0
0 9:5
0
B
@
1
C
A Â 10
À11 F=m
Barium titanate (BaTiO 3 ) [3]
ρ ¼ 5800 kg=m
3
c pq
 à ¼
166:0 77:0
78:0
0
0
0
77:0 166:0 78:0
0
0
0
78:0
78:0 162:0
0
0
0
0
0
0
43:0
0
0
0
0
0
0
43:0
0
0
0
0
0
0
44:5
2
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
5
 10
9 N=m
2
e jq
 à ¼
0
0
0
0
11:6 0
0
0
0
11:6
0
0
À4:4 À4:4 18:6
0
0
0
2
6
4
3
7
5 C=m
2
Appendices
215