Space lattice and crystal structure,miller indices PEC UNIVERSITY CHD
MILLER INDICES DOCUMENT
-
Upload
samarpitanand -
Category
Documents
-
view
226 -
download
0
Transcript of MILLER INDICES DOCUMENT
-
7/30/2019 MILLER INDICES DOCUMENT
1/35
Foeegr o`hocgs!crystie
jarfs!spicg mraups
-
7/30/2019 MILLER INDICES DOCUMENT
2/35
Crystie Farpkaeamy
Kaw ha wg lggp triclaj tkg jicgs aj icrystie1
Syevotg i6 :.2?3
Jeuarotg i 6 7.8:3
^yrotg i 6 7.89;
Mieg`i i 6 7.?3:
-
7/30/2019 MILLER INDICES DOCUMENT
3/35
Crystie Farpkaeamy
Kaw ha wg lggp tricl aj tkg jicgs aj i crystie1Rgfgfbgr% jicg sozgs fiy viry% but i`megs ci`-t
@atg4 o`tgrjicoie
i`meg 6 tkg i`meg
bgtwgg` tkg jicgs
fgisurgh eolg tkos
92>a
92>a
92>a 92>a 92>a
92>a
92>a
-
7/30/2019 MILLER INDICES DOCUMENT
4/35
Crystie FarpkaeamyKaw ha wg lggp tricl aj tkg jicgs aj i crystie1
Rgfgfbgr% jicg sozgs fiy viry% but i`megs ci`-t
Xkus ot-s tkg arog`titoa` * i`megs tkit irg tkg bgst saurcg ajaur o`hgxo`m
Foeegr O`hgx os tkg iccgptgh o`hgxo`m fgtkah
Ot usgs tkg rgeitovg o`tgrcgpts aj tkg jicg o` qugstoa`wotk tkg crystie ixgs
-
7/30/2019 MILLER INDICES DOCUMENT
5/35
Crystie Farpkaeamy
Movg` tkg jaeeawo`m crystie4
i
b
c
2&H vogw
eaalo`m haw` c
ib
-
7/30/2019 MILLER INDICES DOCUMENT
6/35
Crystie Farpkaeamy
Movg` tkg jaeeawo`m crystie4
ib Kaw rgjgrg`cg jicgs1
i jicg1b jicg1
&i i`h &b jicgs1
-
7/30/2019 MILLER INDICES DOCUMENT
7/35
Crystie FarpkaeamySuppasg wg mgt i`atkgr crystie aj tkg sifg fo`griewotk 2atkgr sgts aj jicgs4
Kaw ha wg rgjgrg`cg tkgf1
ib
b
i
wx
y
z
-
7/30/2019 MILLER INDICES DOCUMENT
8/35
Foeegr O`hgx usgs tkg rgeitovg o`tgrcgpts aj tkg jicgswotk tkg ixgs
b
i
w
x
y
z
b
i
x
y
^ocl i rgjgrg`cg jicg tkit o`tgrsgcts batk ixgs
]kock a`g1
-
7/30/2019 MILLER INDICES DOCUMENT
9/35
]kock a`g1
b
i
w
x
y
z
b
i
x
y
Gotkgrx ary. Xkg ckaocg os irbotriry. Dust pocl a`g.
Suppasg wg pocl x
-
7/30/2019 MILLER INDICES DOCUMENT
10/35
FO pracgss os vgry structurgh +caal baal/
b
i
x
y
i b c
u`l`aw` jicg +y/
rgjgrg`cg jicg +x/
9
2
9
9
9
o`vgrt2
9
9
9
9
cegir aj jrictoa`s 2 9 >
Foeegr o`hgx ajjicg y uso`m x is
tkg i&b rgjgrg`cg jicg+2 9 >/
-
7/30/2019 MILLER INDICES DOCUMENT
11/35
]kit os tkg Foeegr O`hgx aj tkg rgjgrg`cg jicg1
b
i
x
y
i b c
u`l`aw` jicg +x/
rgjgrg`cg jicg +x/
9
9
9
9
9
o`vgrt9
9
9
9
9
cegir aj jrictoa`s 9 9 >
Foeegr o`hgx ajtkg rgjgrg`cg jicg
os iewiys 9 & 9
+9 9 >/
+2 9 >/
-
7/30/2019 MILLER INDICES DOCUMENT
12/35
b
i
x
y
i b c
u`l`aw` jicg +x/
rgjgrg`cg jicg +y/
2
9
9
9
9
o`vgrt9
2
9
9
9
cegir aj jrictoa`s 9 2 >
]kit oj wg pocl y is tkg rgjgrg`cg. ]kit os tkg FO ajx1
+9 9 >/
Foeegr o`hgx ajtkg rgjgrg`cg jicg
os iewiys 9 & 9
+9 2 >/
-
7/30/2019 MILLER INDICES DOCUMENT
13/35
c
bi
A
_[
T
I
B
C
3&H Foeegr O`hocgs +i` u`usuieey cafpegx gxifpeg/
i b c
u`l`aw` jicg +[_T/rgjgrg`cg jicg +IBC/ 29
28
Foeegr o`hgx aj
jicg [_T uso`mIBC is tkg
rgjgrg`cg jicg
23
o`vgrt 9
2
8
2
3
2
cegir aj jrictoa`s +9 3/8
-
7/30/2019 MILLER INDICES DOCUMENT
14/35
Foeegr o`hocgs
Iewiys movg` wotk 3 `ufbgrsI% b% c ixgs
Eirmgr tkg Foeegr o`hgx #% ceasgr ta tkgaromo`
^ei`g pirieege ta i` ixos% o`tgrcgpt os >
-
7/30/2019 MILLER INDICES DOCUMENT
15/35
]kit irg tkg Foeegr O`hocgs aj jicg T1
b
i
w+9 9 >/
+2 9 >/
z
-
7/30/2019 MILLER INDICES DOCUMENT
16/35
Xkg Foeegr O`hocgs aj jicg z uso`m x is tkg rgjgrg`cg
b
i
w+9 9 >/
+2 9 >/
z
i b c
u`l`aw` jicg +z/
rgjgrg`cg jicg +x/
9
9
9
Foeegr o`hgx aj
jicg z uso`m x +ar
i`y jicg/ is tkg
rgjgrg`cg jicg
9
o`vgrt 99
9
9
cegir aj jrictoa`s 9 >>
+9 > >/
-
7/30/2019 MILLER INDICES DOCUMENT
17/35
b
i
+9 9 >/
+2 9 >/
+9 > >/
]kit ha yau ha wotk sofoeir jicgs
a` appasotg sohgs aj crystie1
-
7/30/2019 MILLER INDICES DOCUMENT
18/35
b
i
+9 9 >/
+2 9 >/
+9 > >/
+> 9 >/
+2 9 >/+2 9 >/
+2 9 >/
+9 9 >/+9 9 >/
+9 9 >/
+> 9 >/
+9 > >/
-
7/30/2019 MILLER INDICES DOCUMENT
19/35
Hgfa`stritg FO a` cirhbairh cubg fahge
-
7/30/2019 MILLER INDICES DOCUMENT
20/35
Oj yau ha`t l`aw gxict o`tgrcgpt4 k% l% e irg mg`groc `atitoa` jar u`hgjo`gh
o`tgrcgpts
-
7/30/2019 MILLER INDICES DOCUMENT
21/35
_au ci` o`hgx i`y crystie jicg
-
7/30/2019 MILLER INDICES DOCUMENT
22/35
Crystie kibot
Xkg gxtgr`ie skipg aj i crystie @at u`oqug ta tkg fo`grie
Sgg Jom. 7.2% 7.3% i`h 7.8
-
7/30/2019 MILLER INDICES DOCUMENT
23/35
Crystie Jarf 6 i sgt ajsyffgtrocieey gquovieg`tjicgsbricgs o`hocitg i jarf {29>}
b
i
+9 9/+2 9/
+9 >/
+> 9/
+2 9/+2 9/
+2 9/
+9 9/+9 9/
+9 9/
+> 9/
+9 >/
-
7/30/2019 MILLER INDICES DOCUMENT
24/35
Jarf 6 i sgt ajsyffgtrocieey gquovieg`t
jicgsbricgs o`hocitg i jarf {29>}
Fuetopeocoty aj i jarf hgpg`hs a` syffgtry
-
7/30/2019 MILLER INDICES DOCUMENT
25/35
Jarf 6 i sgt ajsyffgtrocieey gquovieg`tjicgs
bricgs o`hocitg i jarf {29>}]kit os fuetopeocoty1
po`icaoh prosf pyrifoh hopryifoh
rgeitgh by i forrar
ar i 2&jaeh ixosrgeitgh by `&jaeh
ixos ar forrars
-
7/30/2019 MILLER INDICES DOCUMENT
26/35
Jarf 6 i sgt ajsyffgtrocieey gquovieg`t
jicgsbricgs o`hocitg i jarf {29>}
Yuirtz 6 2 jarfs4
Kgxima`ie prosf +f 6 :/
Kgxima`ie hopyrifoh +f 6 92/
-
7/30/2019 MILLER INDICES DOCUMENT
27/35
Osafgtroc jarfs o`ceuhg
Cubg Actikghra`
Hahgcikghra`
999
999
Q999
QQ
999
Q
99>
9>9>99
>99Q
99>
Q
9>9
Q
-
7/30/2019 MILLER INDICES DOCUMENT
28/35
Crystie jarfs
Jarfs ci` bg apg` ar ceasgh Cubg beacl hgfa
Jarfs a` stgrga`gts Cubg jicgs a` stgrga`gt
-
7/30/2019 MILLER INDICES DOCUMENT
29/35
Mg`grie jarf {kle} `at a`% pirieege% ar pgrpg`hocueir ta i`y
syffgtry gegfg`t
Spgcoie jarf A`% pirieege% ar pgrpg`hocueir ta i`y syffgtry
gegfg`t
Rgcti`meg beacl Jo`h syffgtry% peat syffgtry% peat spgcoie jicg%
mg`grie jicg% hgtgrfo`g fuetopeocoty
-
7/30/2019 MILLER INDICES DOCUMENT
30/35
Spicg mraups
^ao`t syffgtry4 syffgtry ibaut i pao`t 32 pao`t mraups% : crystie systgfs
Cafbo`g pao`t syffgtry wotktri`seitoa`% yau kivg spicg mraups 23> passobeg cafbo`itoa`s
-
7/30/2019 MILLER INDICES DOCUMENT
31/35
Syffgtry
Xri`seitoa`s +Eittocgs/I prapgrty it tkg itafoc egvge% `at aj crystieskipgs
Syffgtroc tri`seitoa`s o`vaevg rgpgit
hosti`cgsXkg aromo` os irbotriry
9&H tri`seitoa`s 6 i rawi
i os tkg rgpgit vgctar
-
7/30/2019 MILLER INDICES DOCUMENT
32/35
Syffgtry
Xri`seitoa`s +Eittocgs/2&H tri`seitoa`s 6 i `gt
i
b
^ocli`y pao`t
Gvgry pao`t tkit os gxictey ` rgpgits jraf tkit pao`t os i` gquopao`t ta tkg aromo`ie
-
7/30/2019 MILLER INDICES DOCUMENT
33/35
Xri`seitoa`s
Xkgrg os i `gw 2&H syffgtry apgritoa` wkg` wgca`sohgr tri`seitoa`s
Xkg Meohg ^ei`g4
I cafbo`gh rgjegctoa`
i`h tri`seitoa`
Stgp 94 rgjegct
+i tgfpariry pasotoa`/
Stgp 24 tri`seitg
rgpgit
-
7/30/2019 MILLER INDICES DOCUMENT
34/35
32 pao`t mraups wotk pao`t syffgtry
23> spicg mraups ihho`m tri`seitoa` ta
tkg pao`t mraups
-
7/30/2019 MILLER INDICES DOCUMENT
35/35
3&H tri`seitoa`
Scrgw ixgs4 ratitoa` i`h tri`seitoa`cafbo`gh