地球惑星科学基礎V演習 - Planetary Material Science...
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地球惑星科学基礎V演習 第7回 瀬⼾雄介 http://pmsl.planet.kobe-u.ac.jp/~seto 空間群と結晶構造
Transcript of 地球惑星科学基礎V演習 - Planetary Material Science...
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V
7
http://pmsl.planet.kobe-u.ac.jp/~seto
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, , 31. (230)2. 3.
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(Au)
F m 3 m
F()
m()
( 4.08)
3
Au
-
(C)
F d 3 m
F()
d (
( 3.56)
3
C
-
(Al2O3)
R 3 c
R()
3
c
(a= 4.77, c=13.01)
OAl
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Cl Na
(NaCl)
Fm3m
F()
m()
3
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(Fe)
I m -3 m
I()
m()
3
m()
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International Tables for Crystallography
Volume A ~ G (5) Volume A
Volume A(911)
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Volume A (p406)
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Volume A (p407)
(x,y,z)()
()
(a, b, c)
()
(x, y ,z
)
(x, y ,z
)
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8
4
2
1
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P -4 2 m
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C
B
A
A:B:C = 1:4:8
C
B
A
A B4 C8 (z=1)
A:B:C = 2:2:8
A B C4 (z=2)z
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F d -3 c
(1/4)
(1/4)
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(Mg2SiO4)
Pbnmx y z
Mg 0 0 0Mg 0.9915 0.2774 Si 0.4262 0.094 O 0.7657 0.0913 O 0.2215 0.4474 O 0.2777 0.1628 0.0331
a
b
c
(SiO2)
P3221x y z
Si 0.4697 0 2/3O 0.4135 0.2669 0.7858
a
b
c
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Q.
A1: 5000A2: 500A3: 50A4: 5
()
Silicon
Aluminum
Oxygen Magnesium
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(Mg3Al2Si3O12)
Ia-3dx y z
Mg 0 1/4 1/8Al 0 0 0Si 3/8 0 1/4O 0.033 0.051 0.653
a
b
c
######## 8 bit( 0-255)
(230)
(5)
################
16 bit()
(100)
####### 7 bit( 0-127)
#### 4 bit( 0-16)
(1000)
4
3
##########
10 bit( 0-1023) 3
94 bit 12 byte 6
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.
.
-
()
(Pauling1)
(Pauling2)
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: pm (, 10-12m)
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MgO()
Mg2+O2-
Mg2+6O2-
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().
(Si, Fe, Mg)()
Oxygen49%
Silicon14%
Aluminum1%
Iron16%
Magnesium14%
Calcium1%
Sodium1%
Nickel1% Sulfur
2%
1%
()
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1 ()2
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2 ()3
2 2
C
C CC
C
CA AA
A
A
A
A
A
A A
A
A
B B
B
B BB
B
A AA
A
A
A
A
A
A A
A
A
B B
B
B BB
B
ABCA3 ABA2
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(face centered cubic: fcc)
(hexagonal closed packing: hcp)
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4
6
Si
Mg, Fe
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O2-135 pm
Si4+26 pm
Al3+39 pm
Ti4+60 pm
Mg2+72 pm
Fe2+78 pm
Ca2+100 pm
Na+118 pm
C4+15 pm
4
6
8
-
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: Mg2SiO4: Pbnm
: SiO4 : MgO6
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(body centered cubic: bcc)
()
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AB
BC
CA
AB
C, Si, Ge, Sn
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: NaCl, CaO, MgO, FeO, NaF, ZrO, LiF, KBr
0.5
Na: A B C A B Cl: C A B C A
Cl
Na
A
B
C
A
C
ClCl
Na
Na
A
B
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1 -
(Al2O3)
a= 4.77c=13.01
R 3 c
A
B
A
B
(6)2/3Al
Al
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2 -
(Mg2SiO4)
a= 4.756b= 10.207c= 5.98
Pbnm
A
B
61/2Mg 41/4Al
A
B
A
SiMg
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fcc, hcp, bcc
