Assignment 1 Unit Cell Parameters Ahmedawad
4
SC S1 : Lf BCC ("- ." f".< \{ \-/ AE q.= =4n 4r q^lu -rl .E fcc C(lZ : tr c\=ti sttrc\ {i.*,,.ti-., J 0 ^i\ et\ ,sJtrkl n.. -1. ^l.'.a/ orr^iL cefi.. \/6tur.r .!. <-["^:f r, ^i[ eell e.,o"Ji ""..ho" h-e. Qlz:, 1q FqJ's' Ci. = +r rj v= a3= (fi) n r**\+r =z f,/ = a{ Q*") FCC q$-', lz o,a+ q.^b i q Q1 =Lr V =- (r3 = (r.)* 'f\: $x ti =l V* rx (+or'] r* 4 6 P-\ (nPr o ,\z o .'{\ Cf"\* J s$:t",^ g4bic ck-bi e
-
Upload
ahmed-awad -
Category
Documents
-
view
12 -
download
0
description
structure and properties of materialAssignment 11- Derive a relationship for cell parameter (a) and atomic radius r for the following crystal structure. SC, BCC and FCC2- In tabulated form –show and calculate the required for each unit cell related to atomic radius "r"3-What is the difference between a crystal structure and a crystal system?4-Show that the ideal h/a ratio for HCP is 1.633 Where: "a" is the unit cell edge length "h" is the height of CPH unit cell5-Show that the atomic packing factor for HCPIs 0.74.6- Proof that the APF for FCC is higher than the APF for BCC.
Transcript of Assignment 1 Unit Cell Parameters Ahmedawad
SC
S1 : Lf
BCC ("- ."f".<\{\-/
AEq.=
=4n4r q^lu
-rl
.E
fccC(lZ : trc\=ti
sttrc\
{i.*,,.ti-., J0 ^i\ et\
,sJtrkln.. -1. ^l.'.a/orr^iL cefi..
\/6tur.r .!. <-["^:fr, ^i[ eell
e.,o"Ji ""..ho"h-e.
Qlz:, 1q
FqJ's'
Ci. = +rrjv= a3= (fi)
n r**\+r =z
f,/ = a{ Q*")
FCCq$-',
lz
o,a+
q.^b i q
Q1 =Lr
V =- (r3 = (r.)*'f\: $x ti =l
V* rx (+or']
r*
4
6
P-\(nPr
o ,\z o .'{\
Cf"\* Js$:t",^
g4bic ck-bi e
.t=*J. t,* ,
gt.uct(re I Pe'ri"*lt **;J e.v"1o),*^;*^'
I "*. t *" 'd of,o ''tis
c/.6sr*,( r6t<,'^ c.e,u. {,i3. tilft i"l6'
-
Sin 6c :
hl. J ltcP
_Lo\
CI- si vr 6o
r.(s3
Pttu *5""**
€) ' = a' (+" s\n(o)2
=o"( I -. +-4= a' (r)
\ztL\-= 4x?- +t". /
s-: [, (szt')q- & l.(3
^,
clz
ft- a 5irr 60
iJ*\-=
APF ,I FI CP
S\n 6o'L_b
fl rar (a sr r'? (o)
Aq.Srn (o
6 x (:D.)( ")
-- A.
3 Az sin (o
3=G-az1
1,6 3h/q. =l**T* :i
=
Ah
FF",(l'6s")= +. L+3 613
r1o. ; +*^.t,1,1 u**==';
daoro*=tuat orr = C x (+*a)6(+r- r3B i 4-z+t {j
A =2_r
APF =
6,1 +
APr ,I
APr =V,!, ,E$o.*.r fu*it .{r^VJ ".^i+ =<(1.
.s
BCC
*'
fcc " (to' ) 4to^t;' 4C*,1[ p*o-,-a\er (4, =
t"fr:'t V(o^^ =
U*.u,irt "€ll s o'3 = (Ht \f.t olo'*r(r,.i( cc,( -J { , x (1 n-f )
AfG.-l---_
trCcLbk- \f = O.3
+r*r v-\f--.-13\-mlo'nft
BCC', a d. -l o* ""'^ s
cclt qq
.,r3s t*( '1S[<.^--, c.^-biq
Z\r\?
+*L urr'.f .^Il- = G3 = €),lu^lt .q,tl s 2- X (+* t)
APF = t/*#f,/"et d^
= 3i#fr\st /
O, 6t
