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CH 313 177
(nondirectional) h&b w”uIK&Iu”n i%0fh\&d NaCl CsCl CaF, KNO, Ha:
NHJ.21 6h~u
CH 313
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. . . . . . .
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. . . . .
CH 313 179
180 CH 313
o=*=ca=p=y=90”
Rimirive (P)
Body centered (I)
Cubic 0 ,
Face centered(F)
a=b+ca=p=y=wFrimirive (P)
Body centered (I)
Teoagonal D,,
ntb*c~=~=y+lo”Rimitivc (P)
Body centered (I) End centered (C. A. or El
Onhorhombic D,
n*btc End centered (Cla=y=!w
Primitive (P)Monoclinic
o=b+ca=p=w
y= I200Hcxagod
Rimhive (P)
Face centered (F)
o=b=cTrigonal or
rbombohedmlRimnwe (P)
atb+cu+~tyt90”
TnclimcPrimitive(P)
CH 313 181
Jo
IPlXfla’u”fl (triclinic)
bIJIUFla”Gfl (monoclinic)
QO%i7QLJJ3J”fl (orthorhombic)
LGlFl3:lfled”a (tetragonal)
IWFnw”a (trigonal) W%l
SOU~PI~R%Y (rhombohedral)
Elf~t~%~~~~ (hexagonal)
;2i?f1 (cubic)
ibJw”nydsla46tam;? dxl1CHa~
ci (s,) i a#b+c
arp#yr90°
c‘U 2/m a#bfc
cc =y=90°+p
D2.t mmm afbfc
ol=p=y=wO
Da, 4/mmm a=b#c
cl=p=y=wo
4, 7m a=b=c
120° > cr. = p = y # 90
D, 6/mmm a=b#c
ct=p=%J
y= 120
0, m3m a=b=c
a=13=y=ss
182 CH 313
CH 313 183
184 CH 313
l+ 8,; =2! 1
Fi3i?iflTnaa6awn
(ccp) n% &if-l2 [6x9+(8x$4
6%fu6noi%-JGfl
(fee)
6sfln~lfldalnaa66Wfl (hcp)
6.11
X l
d’
x2
(dfi)’
= 0.74
CH 313 185
186 CH 313
Face diagonalof cube = /fi
Cell edge
CH 313 1 8 7
ABA
188 CH 313
B C A
A
CH 313 189
Total spheres perfee unit cell = 861 + 6(t) = 4
- -COrnerS faces
Face diagonal = Ifi = 2d; therefore I = 2d = d,&fi
190 CH 313
This point isin both unitcells 1 and 4
Layer A
Layer B
Layer A
This point is in 6unit cells, the top hexagonalfaces of which arenumbered
These three points arewholly within the unitcell
CH 3131 9 1
192 CH 313
m m m
,--\J \:,-< --\
:F!?
\\‘\- .’ I\, :._ .’
CH 313 193
194 CH 313
BD =xcos30°
r-r++r =-
r=-cos30°
= r - x 1.1550.866
r+ = 1.155 r- - I- = 0.155 r-
r+/ rm = 0.155
(fl)
B
&A D c
o~6fhilyu ABC &i,fh 109’ 28’ GhJanq%
OJ)
(9
CH 313
htlla.m&J A B D s i n A B D = 5 =
sin 54O 44’ = Ll-r+ +r
0.8164 = rr+ +r
r+ +r- 1tk&bxnJfll~IMn ___ = ~ =
r- 0.8164+
-T-+1 = 1.225r
r
r+ +r
1.225
+r= 0.225
r
196 CH 313
< 0.155 2 6i=?Wl'uns~
0.1.5s -+ 0.225 3 Rl¶lIM~fJ¶JI6¶lUSlU
0.22s + 0.414 4 hTFlsdm?a3 1
0.414 + 0.732 4 iwho'q54arl¶JUslnr
0.414 + 0.732 6 oFlfla&Gl
0.732 + 0.999 8 WGLLCHU6R0fGJU4fl
CH 313 197
NaCl C\CI NiAs
Wunzite (hexagonal ZnS)
198 CH 313
CH 313 199
Fluorite (CaF,) 0 = Ca”Antifluonte (M,X) 0 = X2-
200 CH 313
CH 313 201
202 CH 313
0 I -
@ cci2+
CH 313 203
= Fcl:-g =c
Q =o0 =K+
204 CH 313
A B NaCl CCP rai ham 6:6Y
NiAs hce 2lxi ham 6:6
zns (QGhlU6) =P 1n lii3 4:4
zns (l%ll%aj hce 1n ld .4:4
CH 313 205
A% BiI, hcp lax! l/3 6:2
CrCl, CCP ad 113 6:2
AB, .%I, hcp l/8 laxi 4: 1
A% a-WCI, CCP 94 116 : 1
UCl, CCP Ias l/6 6:l
‘93 a-A&O, (corundum) hcp lniii 213 6~4
66Du~dqooY5~ K,O K,S Li,O N%O Na$e Na$
?Ghmlol56 CsCl CaS TlSb CsCN CuZn
l&Jao~r~ CaF, U O , BaCl, HgF, PbO,
u’n~iiaoi~~~lub NiAs NiS FeS PtSn CoS
Tv6~uunnoYsa’ N&l LiCl KBr RbI AgCl AgBr MgO
(M~O6rl~O~U) CaO TiO Fe0 NiO SnAs UC ScN
gma” TiO, Mr10, SnO, W O , MgFz NiF,
2 0 6 CH 313
mmi 6 . 5 (kl)
thfhaud zns CuCl CdS HgS GaP It~4s Ad
c%lbki zns ZnO Be0 MnS Ad AIN Sic NH,F
CH 313 2 0 7
GWhJLlnUd ZnS 1.63806
6%Vll%~ ZnS 1.64132
~WhJ’fla0~5d NaCl 1.747.56
Sl4uunaorsi CSCI 1.76267
J!w~’ TiO, 2.408
t4ip~5d CaF, 2.51939
nBk% Al,O, 4.17186
208 CH 313
Ne
AI
KI
X e
I Na+ I&+ 0’. F2+
9 K+ Ca S2- Cl- Cu+
10 NJ+ Br- Ag+
1 2 Cs+ I- Au’
dU N,Az+z-eZ nN B-= ----“=odr r,
n+lr
B =Az+zmeZr,“-’
n
amO-il (6.4) ash (6.2)
v =-Ndz+z-e2
'0
CH 313
(6.4)
209
210 CH 313
“s = Nexp -2( I
212 CH 313
gsung~ NaF NaCl NaBr
‘C Mwo”FJQU % 66ouo”oou 46 66nno”oou % 660u600u % 66nno”oou % 66OUo9O~U%
400 100 0 100 0 98 2
so0 100 0 98 2 94 6
600 92 8 91 9 89 1 1
CH 313 213
6.9.2.1 b~tK%llfhd~0 (Metal excess) h+i.4laX 2 p119Z0 :
214 CH 313
I CH 313 215
216 CH 313
CH 313 217
218 CH 313
CH 313 219
Germanium nucleus+ 28 electrons
. Valence electron- Covalent bond
m
(W
CH 313
CH 313 221
6.1
6.2
6.3
6.4
6.5
6.6
6.7
6.8
6.9
222 CH 313
CH 313 223
224 CH 313