# o
Recitation 14
rS t,,rclo E xotp.0os uith 5e'vr"a'cond Ce\c.ala*e- lv\z-,-t,njv.9'.
Y^oor'^ *ernle.atuce
con du "+tv A1 d+ 9CIc"^ out
K)' Q Eao
f,=
ne[en:P:
+ Ptfu
tli
-/
=
A,e(F"*Pn)
O^q
{o. ?c6srb,.{,otg fuke- a-PP'oxtma-b<-03 t, Loots
iS sot^^*renn b td
i+ Cvri) {"om fi1 lo'T *-' lo'l '^t-t
t-
l8' 16
f*,n
Tc.b0.e tg.3
t+
_tq
P.
= O.,.* ,C.
;
t'*,
,,'t
= 0' 0S L
s---(to \ \F'/
{') t2
^l.6xro *e
C * (o,'++o'os)
= o. oo 9o*
-rl-'*-t
V's
A^vsf V : JL
df sC< Arnps
[loDitv\
JcaA -this
Ste' cotc'^Io.*\ons 7 ( Muci^ srno'tten' ! cornpar<- r,,rth n"*Ls ^ t n I e. ' J e ' ^ a^ 'u ^{c'<{or f "+ rq-d&aJ-rdr'S olt' coupQcAQ- f,"* ) J
| lE ' lt co"1c- { ^^ 3u1. irC t^rc- d'^J"''t r.*rculd ure- c-"JcJa--te ni f-[o,^, vtl zre Ji J h S u ta
Is
i}
r r 1[t
? ?
hc'vu- {tn'^-s{Xu*
fi i =
.lN.N,,
2firnn
Qf,-
E3lexr
N.= 2
t
K I
"1"
{
nf1:"
rirml rr
h-
h=
]'o
+ f n n = ml- = l.c8 rhe.
m; = O , 8 t - r n .
@
il"=
'I
ho.rt
3lx t'3?*to-tt T/* x 3oo 5-
a 1 r { J . o fr 1 . t t x , d t ' E
tr-
nofa .khort- lrFI
bga s-
u^nk urork or.,.t
t /K'r l"' rr5 ,/ty / I 7 LWJ (:'. ='J s'
F=
'n3
-l_ [::
-
3
^-' -- ,s"*'t K = "s" - to2s
( '
.'-= 1
Tt/,
,?olotr,ra.t onty a.{unc*,i.o f+T tloo.k T
d rvrat<ri^L { {o-a 3** depe^dancL ( n ot s*rong -Q,'ke-Qxpn^^h'*-A) . x 3 . r -a f t / ' c J
S rr'.ita.r[y
N.r=
z I a t r x o . 8 l x l . l t x t o - 3 ' r ) * l - 3 8 * r o - ul / , It L ( 6.6s,.1o-:v o.r )-
N v = l.a3 x,o'1-;t -Th,ts , us.n1 E? = l.ll aV
= t-83 rlo'5 --3 r 3oo ) -- o'o2586eV
k T = ( & 6 2r , . - t d
l.lt eV
T/
)(
oi=@
lli = oi Nolc. *rrat tlvtc*
90
ars -(
- I . o g x l o l o a-^-'
el 2 ,<o.o2SgG
l . o B x l o 1 6 m-3
)
-ttal= va,.tac- is -fr.""
on<- or 4er cd ^noJr^,"'h., c1a srnqll<rfhq.^
ur- o1>tain
fi3u.-
ls. I G !,!
) (o.trl +o.os) t' lb ^-3 .",n-t lOro i3 3.2sx rd+ i-f y* lca[ v p vs - llf ;1 fl*t|l'^'
;=
(l.ofxrolbt't )f,.6rrf'1c ycut 3et n i .r I o
Note-tna*
tho- se..,iloSonth-'" plof- cf nf n; {-* Sqrn<-c^s ,^lh** uarn lec-fure notg\ 3o.+.
)*
I gm p.tty sur(. fifl. fE' t6 is ?tr
\
qbo"'+-"{actor <f lo' Do'^'+us< r|! I
@
Exo,n pQc-
CJ
n"q c.^-[61*e ? af
ccradlnclrv ii5 +tl'r^rt.i^1
(t tli-'l^
S I a-t 3co K u r h e ^ i t "f corncs'rfrra-*ionS
ig q(dPed
(ol ($) t")
Re*,tl
5xtolo -^,43 Ex,dq.*-3 sxto'1 ca^-3
I J
I
I
have- qx t^Pwh^^f
otr\"^ *"
t
r*".kc- t w idn
z-ttl^'
f.onn 6at<'aa.,rs f1 = lln
2
lec*u'retl^o.f
uJ hete .td tL..ats ca&1< -|*,"?
tYi*
nP =- ni
2-
J*
camu- f-,.n
Stnn'r-^.Ilrqna-b$ss&^+^" to f alurols tn r e ] dole "t & o"d "Y'J
T*Nl
=O
c[5t^e^^1'$\
:;;+TcLle(a) t f) : 5"'o'o 2-r ", v\ ' \ :-----n-t-a ni a,-t- 3,F K urecdc"'tc'fcddu^i^1 \ orrt <tcr\r..,rpI-e-.
f') =
\'zzj
nto'o "*-'
-1..lo fr 5 hi [eo1a *opa^t {.. '^f"ra"rJc c4rrlart
,r
v--
is ' nola ha'r ctole--lo tJ' +t^is
Tl,eis
contnb.r*ro.^ {^-
+q- = ?-lu _.-lo+pfrt^) e(n
$= b\c
+=-
I
lr\! - (l'o6rto ) =1'131lo. ''r,It
|oa
q
n
^
_7
ftrb Xb'',,
_ror
v.9.'_ --
ylotr T.ai .: no{c 0.t...{, = t*oo:i = F.
y., V.s |
l'lfx-tot' W = o.oS\^.' s* gt' & pn
| t/-s 1l"
f
@
No\e-*x",f,
do*,,n c.teJ
trt 'ar* (a1 e-lectron co,,rt",b.ntiwr $" cnlo\*chi,ta bu-t ho\.e_ contr,brn*.o" is s+,-t\vrof* trtnt.ji[-(r
r.l S xl 0 -1 <-ta^
(t) 4". N) :
Sxlo
rtl
lf $ z- ) +(.o(rro'o;' I !c-oqpLle\
I
rl
a
&rnrnc^[e,o fh^s t9frrn'
I
So
fi:Nb
fl= SPIO r{
i1L
cn^
i..lb
^ r l\i ^ (t'061t6; = 2.33-6,t0c+U h 1s^1o'e)
lo.L hoasr,a/l
tlllvlor i\ carriec
-3
,
rOa
-5-?
f
\-
=
+ [-^.
,-{V.va-
\r-= (r*"fr rC
(.)
s r ,q'{..^ }) ( t.rn,o-'?;
ffi :W
(.l t1^r oL'rse- hnSherthan (al ) . 4^suter ,,g. nc ca\cr^l"Jt-t; ncecl-a d
by
naq)
(rJa
k-no^l +hr,-*
3 n : r.lo = 5 n tOlT .r^^teco^,r-94-
{o >7 ni
?=
nl
2-
(t.or"ro'o.--3)" S r , o ' 4. - - "
=
Z2g
n.n{.-f o,^3 !ll
o,r! carrptc- h^, ctaa Wt-rfct ?
NP
q-=
[:^' \
t
,{'"r1^.^,0J5
n"f: ?7
{vpo-
ls4ha's enu t+ *'/V.,
is ^o l.
'The- q^suJe.
f
e-
Jn,q ea^'e^ .,r',+^
trnPu,.! ( dry*,f
) ca.hclnftJ;*t,
rt#l
Ittoo
.rtl
ConfrJznzrl-Js
qbowE
^, lo'1 ,o'o {
Je.c" a/'4/) \ t^
D-l e b. co.^^,o.e.
s ce.-:f-l et;j Jo?anf
{^^" qtsnas / r r.aqudfi)
I o'' rd' {o' ,dt td'' ldt /o'' lo'* (de /o't G^t)
Dp.^+ 6or^.s^'lr'a"frrn'. -
Se<-
{u,
evo*
p/.o fi5u.o 18.18 ( sr"'*- +e. .-n.o^{odfr", ts ;
*-3 i",
tt^"*
fiJ*') e+ No:slo''.^-t -- -cx lo^t *;t
Fr-- f;l ts .tz
r
.
M Soo -^"/V.s
l"n
e = ( s^
d;f
srto'a.,i')(,s xt6'1 1
I nr?i-
k"(l
!
\ J"oo
On
ND
4r" N'>> ni {""
f
al'.
+, r-\rP=Mn {.. ila 'z n;
Z-l
J
a_
s-F
f.
r e^ e
nf Nor> Calsa o- sf tP.
t^',fL
, N*r7nl
J
&f ,
J'unoo*
Nb t' NIn t",heo Njorr il,q = ,|o' d: