Keywords : First-Principles, Density Functional Theory (DFT), Local Density Approximation (LDA), Troullier-Martins Pseudopotential, Planewave
D- : ダイヤモンド構造(diamond)
ZB- : 閃亜鉛鉱構造(zincblende)
WZ- : ウルツ鉱構造(wurtzite)
RS- : 塩化ナトリウム構造(rock solt)
H- : 六方晶(Hexagonal)

Table 1: Computational results. Values in parentheses are experimental.
Cutoff energy
k point integration
電子バンド構造
Band structure
格子定数
Lattice const.
[Å]
弾性定数
Elastic constant [GPa]
B C11 C12 C13 C33 C44 C66
D-C 100Ry, 2k 3.566
(3.567)
455
(443)
- - -
100Ry, 10k JPEG(36KB) 3.567 454 1064 148 - - 574 -
100Ry, 28k 3.567 454 1064 148 - - -
D-Si 30Ry, 10k 5.427
(5.430)
94.1
(98.8)
159
(166)
61.8
(63.9)
- - 76.5
(79.6)
-
50Ry, 10k JPEG(37KB) 5.436 92.2 156 60.1 - - 75.8 -
50Ry, 28k 5.437 92.1 - - -
D-Ge 60Ry, 10k JPEG(37KB) 5.602
(5.658)
69.9
(77.2)
122
(129)
43.6
(48.3)
- - 62.9
(67.1)
-
ZB-SiC 100Ry, 10k JPEG(34KB) 4.381
(4.35)
218 388 133 - - 240 -
ZB-GeSi - - -
ZB-GeC - - -
ZB-BN 160Ry, 10k JPEG(36KB) 3.597
(3.615)
400
(400)
814
(820)
193
(190)
- - 471
(480)
-
ZB-AlN 160Ry, 10k JPEG(35KB) 4.372
(4.38)
213 304 168 - - 186 -
ZB-GaN 180Ry, 10k
without Ga 3d
JPEG(34KB) 4.442 171 - - -
280Ry, 10k,
with Ga 3d
JPEG(40KB) 4.499
(4.50)
196 279 154 - - 152 -
ZB-InN 180Ry, 10k
without In 4d
JPEG(32KB) 4.989
(4.98)
101 156 73 - - 89.6 -
180Ry, 10k
with In 4d
4.982 141 178 122 - - -
ZB-BP 80Ry, 10k JPEG(37KB) 4.561 174 347 88.0 - - 187 -
ZB-AlP 60Ry, 10k JPEG(34KB) 5.442
(5.45)
90.9 136 68.5 - - 66.2 -
ZB-GaP 60Ry, 10k
without Ga 3d
JPEG(35KB) 5.405
(5.45)
82.4
(88.7)
133
(141)
57.1
(62.5)
- - 68.6
(70.5)
-
260Ry, 10k
with Ga 3d
JPEG(63KB) 5.438 90.7 - - -
ZB-InP 30Ry, 10k
without In 4d
JPEG(35KB) 5.811
(5.86875)
63.5
(72.4)
(102) (57.6) - - (46.0) -
60Ry, 10k
without In 4d
5.823 61.9 96.8 44.4 - - 49.6 -
160Ry, 10k
with In 4d
5.872 70.3 - - -
ZB-BAs 80Ry, 10k JPEG(37KB) 4.688 148 297 72.8 - - 163 -
ZB-AlAs 60Ry, 10k JPEG(36KB) 5.634
(5.66)
73.9 112 54.9 - - 53.0 -
ZB-GaAs 40Ry, 10k
without Ga 3d
JPEG(40KB) 5.584
(5.6535)
69.3
(75.1)
113
(118)
48.7
(53.7)
- - 55.6
(59.1)
-
80Ry, 10k
without Ga 3d
5.603 66.1
80Ry, 2k
without Ga 3d
PCC for Ga
5.630 68.9
280Ry, 10k
with Ga 3d
5.618 71.9 114 50.7 - - -
ZB-InAs 30Ry, 10k JPEG(36KB) 6.005
(6.0585)
51.4
(58.0)
80.5
(83.3)
36.9
(45.3)
- - 39.7
(39.6)
-
80Ry, 10k 6.026 49.5
RS-ZnO 220Ry, 10k JPEG(42KB) 4.276 212
H-MgB2 80Ry, 32k a=3.040
c=3.478
155 436 99 21 314 52 170
* PCC : Partial Core Correctioni


Table. 2: Computational results of lattice constants and band structures of wurtzite semiconductors.
Values in parentheses are experimental.
Cutoff energy
k point integration
電子バンド構造
Band structure
a[Å] c[Å] c/a u
WZ-AlAs 60Ry, 12k JPEG(74KB) 3.9728 6.5423 1.6468 0.3742
WZ-BN 100Ry, 12k JPEG(72KB) 2.5330 4.1906 1.6544 0.3742
180Ry, 12k 2.5353
(2.5505)
4.1944
(4.2133)
1.6544
(1.6520)
0.3742
WZ-AlN 100Ry, 12k 3.1036 4.9910 1.6081 0.3804
200Ry, 12k 3.1063
(3.110)
4.9958
(4.980)
1.6082
(1.601)
0.3804
(0.3821)
WZ-GaN 260Ry, 12k
with Ga 3d
3.1818
(3.1896)
5.1894
(5.1818)
1.631
(1.625)
0.3763
(0.3772)
WZ-InN 180Ry, 12k
with In 4d
3.532
(3.538)
5.713
(5.703)
1.617
(1.612)
0.3786
WZ-ZnO 240Ry, 12k
with Zn 3d
JPEG(69KB) 3.2268
(3.2497)
5.2380
(5.2050)
0.3768
(3.3823)

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