BSTJ 40: 2. March 1961: Relation Between Surface Concentration and Average Conductivity in Diffused Layers in Germanium. (Cuttriss, D.B.)

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Relation Between Surface Concentration
and Average Conductivity in Diffused
Layers in Germanium

By D, B, CUTTRISS
wer een fay 1, 90)

I the poper a expen i devi for eal
sutsity ofa aed lager om eizanductor mae
tone of the fast impr the tae od Jury

ra ate presnt tpt the relationship vn these
ens gernmosam. Droid av cartes or ath ios
i forthe cangleentany eter funaion, gaa, expend
tend vee spay sted

inn fet of the

poramels fe

In she devin of sunisonduesoe devin in ie jmseions are pro
thie iy sud state division of tropes, it sof grea vale 1 Eno
tie ashaciousipe whi exinlIwenn the surface roe rain
{Mtued inpurey, the barksnoand impurity eonestrtion, Cy» amd
fvomge sundustviy of the eltied layer, & ‘Theo rolaohips
te taeulatel Iran 3 Knowledge of the resist vty as funetion of
Hinpurigy-conecutss for material uifrmly doped wit sale
‘purty Such enone ane poset i his per

For eonveaionse wie silly hat Sprite aloes are 100 pe
rational vedo, the conti ah ys in a fused Laer

tse atrial eam he give by

v= mC ~ Ooh a

whe

= dite impaity eonventention,
‘oo
y= hoakrourd impvity roneonation, an

mip earier sbi

"This experi it valld for (© — 9) 2 a Uwe minority earier
oueataaton ia iyigile. Meo, Gr xthies of Ce > 1 chy
primarily 4 fuserion ofthe total! number of nia insite present
IF it sseamed thie borh fanzed impurity "yore seseter a majority
tsrer identi then the nob an (1) sogy br eanshene to
‘The eandsivity of tere) dyed with oengleSampurity can be
cxprvesed, git asain Hl ee ce oaizaion of spate, as

vate ven (S58) »

ved shatitmeng (21 with 8 = 8 Cy), ei

a) ”

A log-og plat af the nssetivty of ile iecpity dep staal a a
fonction a se snparty ene sai ev nppoimated by weet of
intestine elt Tins oar Ting ws equ or ofthe fon

‘oe of whi valid over omen mange w! A Subst, (8) i
‘Dyin with A= (C= Co, ene hs

a)
= BO + OIC Cn ‘oy
The avers conductivity of « fund tyr my he csi by

ttegraing iH over vals of Gro the tae tr =) thane
fom (=) and dividing ey the jenn eth. Thi

sL [imei +

WNC ye} = Calf

the values nssigcod ty B alo aC sy pin oe nla are dee
raed by Wie value of (Cs, 2) Ca) ab che pint. Taustion £71
suarser coscesmurnes «xp eoxbucrvaty su

neta requires seal tegration, asing espevimental values for
Bal

Fig L shows the vast of seitivty, gf single-impuity dap:
vrimniin asa Suuetion of the purty eoaentration, Poin in ae
pre a1" 2 2 X10 Foe acrid the nang
182 X= 6 X 10" for p-type material wos taken trom Prine."
Points in she sange of 2 9¢ WW A SIP Tae visspe materia eed
63 10" N=. 10 for w(ypw material wore taken fm Lil flee
rensurens of Tyler sae Saye? Hall flee saensrvaente give the
rstlvity as. Fanetinn of carrier cumerattatinn, However ist meas
urements of nsieiviy ge a fuckin of epusty concentration by
‘rise ted Taal! for p-type mater agave wilh The rsuls of
‘Tylor and Sage, rho juslyeg the esuraptions mola lent forthe
fase of toe amter. ve fight approacions wore tle to

Kea | SEE ae cure

SS} H+) A
j ee
7 ae ot
HET im im
io = if = AL] EE
i Ty _
TS.

a
wel (Pay ere |

pomaua feeeeeen!
‘Tavon T—Coneniers 20m Arimoxiatone 80 vu W Cone

2 Gree aie sour)

Se
DeRRAGE cosersemaTION ax coNDUONNHNY ua

uch eur ing expation a the form of (3). Vals of Pad na
fhe range uf validity af each 2 of values ate shows neh T

Te dso data of onsite rion of weer evant
for nype germanium as reported by Tyler and Hullyr? Moody at
Strauss! Furuera Zvirin alan Spaee.” Alsm show ig 2
fe portion of the wpe ire lr Fig, 1. As ean be soem, this curve
repetrnts w asnatble avenge af The eaeie daa, fam whieh cwse the
reat eleultions are intended

uation (3) was evaluated on the LIAL 70 computor or vasious
insanity astribusions,ndthe neat weve choked by hel rae
ft ceveral pots. Seven vals of Tarlygond voreniation were tee,
fad four pons pe evade 0 aueace enoexcratinn were evautod. The
results show prapivaly Fs 8 ehrough 10 on poges 314 through
521 for the sara drut as eo

1, Conplersntary erm fonetion, Figs. 3 and 7

2 Gaon, Higa eal 8

2, Exponential, Figs, 8 ne 9

44 Linear His 6 nd

Since tae snutivity of piel eonnpenanted avril Se wot er,
(7) wil be im error Hy some sll aeouns However, Toe value af Cy
nid yuh ia {0 fot 2 ny tes aszor ibe neigh, A
Sale’ sl Casein the alenitons Bl thie regimens,

‘ue aunhon wishes to thea JC Irvin wl WH. Joekouo for saany
hotnin end ealigatening disvsions ae sal take are dae Ale
G, N-alfendze whoee able programms of the TRAE TDA mle solution
of (7) posio

‘rive, M. Ba De Mable in
Atel nlite 8 Das sis gu He tie a Yn

Ati bi Sele Bing, Cowes
51 ate ou werent nocastest svUMAt, MANE It
= i:
518
Tol om ecoeme
ous

anOAETED OANA soMAE MES tg — 1-8

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