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University of Nigeria Research Publications
AIDAN, Joseph
Aut
hor
PG/M. Sc/98/25887
Title
Growth and Characterization of Thin FeS2 Film by Solution Deposition Technique
Facu
lty
Physical Sciences
Dep
artm
ent
Physics and Astronomy
Dat
e
August, 2001
Sign
atur
e
GROWTH AND CI3ARACTERI%A'T'I4)1N OF FeS2 'TIXLN
F1 L,M BY SOLUTION DEPOSITION TECHNIQ1JK
(AIDAN, JOSEPH)
PG/M.Sc/98/25883
DEPARTMENT OF PHYSICS AND ASTRONORW
FACULTY OF PHYSICAL SCIENCES
UNIVERSITY OF NIGERIA, NSUEUCA
ENLJGU STATE, NZ@ ERBA
GROWTH AND CHAPCACrPTERIZATZON OF FcSz TI IIN
FlLM BY SOLUTION DEPOSITTON TECliNlQUE
(AIDAN, JOSEPH)
A PROJECT REPORT SUBMITTED TO DEPARTMENT
OF PHYSICS AND ASTBQNOMY 1N PARTIAL
FULFILMENT OF THE REQUIkKMENTS FOR THE
AWARD OF THE DEGREE OF MASTER OF SCIENCE
(M.Sc) SOLAR ENERCY OF
UNlVEKSlTY OF NIGERIA, N S U K U
ENUGXJ STATE, NIGERIA
We certily that this prdject work was carried o u t by JOSEI'II AIIIAN ill
. the Department of Physics and Astrononly, ilnivcrsity ol'Nigcria ~ s ~ k k n I I I , ' l t 1
and has been approved hylthe examiners.
(Supervisor) Dr. J. IJ. Chukwudebelu
Date:
'-' (External Examiner j
Date: 200 1
This piece or work is dedicated lo my:
i. Daddy, I ,ale Mr. Aidan 'i'hlaic Shuwn
. . 11. Mummy, Mrs. l3atricia Aidan
.., 111. Brothers & Sisters
iv. Beloved Wife
seen me through my entire study in this University especially i n the
writing of his project.
A work like h i s would not have been cotnplcled without the help, advicc
and patience from a f w individid. Notably among illem is r ~ y
supervisor, Prof. C. 1:. Okelce. I would like to express my sincere 111mks
have in no little way contributed to the success ol'this work.
My equal thailk-s go to the Ag. I I . O . l ) . . my lect~~rers and a11 other
members ofthe Departmenl for their acadcnlic :~ssistancc and pntiencc.
I appreciate the ef'fbrts of Dr. rahian Ezema and that ol' Mr. Nnabuchi on
the thin film research work.
Finally, I would like to thank my C O U ~ S ~ imtcs 1i)r t1~;ir COOPC'I .~L~~() I I and
kindness and Mr. Ogw, Elemele I'or typesetting this work.
Joseph Aidr~n
TOPIC ,
Tillc pagc
Certification
Dedication
Acknowledgrnen t
List of figures
List of lahles
Abstract
CHAPTER ONE
Introduction
Justification
Objectives
CI-IAITE 1< T W 0
Literature Review
Nature and compositiotl of solar radiation 10-1 1
Interaction of light with sen~iconductor 11-14
Absorption of light in semiconductor
Direct-Band-Gap Semiconductor 14-17
Indirect-Rand-Gap Seniiconductor
Kecom bination process^
Radiative Reconlbination
Auger IZecombination
Recombination Through Traps
Recombination At Surfaces
Thin Film Growth 'I'echniques
Physical Vapour Deposition (PVD)
Spraying
Electrochemic~il Methods
Screen - Printing
Solution C3rowtli Technique
CIIAPTER 'TIIREJ'?
lixperunental Iktails
'l'he Ihposition Technicluc IJsed 3 0
Sample Preparation 36-3X
Reaction Equations Of lh in Film I )epositioll 38
Deterrnirlation Or'l'he 13and Grip 3 9
Measure~iicnts And IXscwsiun Of Rcsults
Physical Appeaxance Of 'l'hc Deposited I;iln~
Filnl Thickness
Study Of Ttic Absorbance Of 'l'he I ; i ln~
Conclusion
Suggestion For Further Study
Figure 2.1
Figure '2.2
Figure 3.1
Figure 4.0
Figure 4.1
Figure 4.2
Figure 4.3
Figure 4.4
Figure 4.5
Figure 4.6
Figure 4.7 Graph of absorbance againsf wavclength h r sanrples
A19 '% H19
Graph of absort~ance against wavelength lbr sanlples
A20 &
Table 2.1
Table 4.1 ,
I Table 4.2
1 ' . Table 4.4
'l'able oSvalues for ccluation 2.20
Variation in lilrn thickness with dcpositio~l time
Variation in absorbaim with wavelengih for san~ples
A,.
Variation in absorbance with wavclcngth Sol- s:lmples
Chemical bath required for the deposition oi' FeSz thin iIlm sing
FeSQ.71-120, Na2S2O3.5I-120 and E13'1'A as complexing agent has t~ecii ,
prepared and successfirlly deposited on a glass slide substrate.
The films showed high absorbance in the ultra-violet, low in the visible
and the infrared regions. The energy bmd gaps, as calculated. f i~ r the,
various film samples used fall within the range 2.48 3. lOeV.
The thin film grown would make good window layers for solar cclls.
The alternative approach using FeS04.71 I&) instead of I:c(NO>)~ 1i)r thc
cation source lias been economical because only a, total of 91111 volume oS
chenlicals per bath were used instead of 1 71111 as reporled [ 1 1. 'rlic
solution growth technique is simple and cheap.
Introduction
. Energy is the firndamental input in the develop~ricnt of any known
human society. The a~nount oC ciiclgy izquired pcr capila to hstes or to
maintain the developnlent of' such sociely depend largely on the
developmenla1 stage, the local resources available, the socio-economic
model chosen try the society (or country) and several other fi~ctots.
Coirn tries, which rely on local US irnpostcd lbssi l l i d s , 11iig21t fact c~iesgy
crisis as the re3ource depletes. Its replncc~wnt lry nucle;lr ciicrgy source is
potentially catastrophic i'or humanity. Massivc burning of cod to generate
energy is itself' not a viable long-Ierni solution. 11 appears theil that the era
of rqxwabie sources of energy, like solar,energy, has come a id i~ceded
to be hurried up.
Researches are now on Ihe way into the use 01' solar energy resource,
the fi-ec gifi of nature, to the conventional energy rcsoirrccs. At present
solar electricity has been universally recognised as an a l n ~ o s ~ ideal source
of energy because its relevant characteristics being that a high qmlity
form ol'eiaergy is generated in a nlodular way, with low nlaintenunce cost
and with no negative environmental risk.
Solar electricity is the direct conversion of daylight or the
electromagnetic radiation associated with the sun into electricity by
photovoltaic solar cells and it is the most promising for111 of renewable
energy to have emerged in recent years. In terms of its potential benefits
to humanity the invention in the early 1950s of this completely new pay i
of generating electricity might come in rank in iiuportance with Faraday's
discovery of electromagnetic induction that led to the development .of b
rotary electric generators and motors.
'The question that arises tl~erefore is why this cnergy generating
technology, in spite of all its good promises, not widely used in all places
especially where other conventional energy sources do not exist, or in
places where other energy sources at hand'are environmentally risky. 'Ihe
usual answer to this question is the high cost of solar electricity. The cost
of solar electricity depends on many factors, but one of the inost
important is the cost of the
depends on the cost of
photovoltaic modules. The cost of n~odules
semi-conducting materials used in their t
construction and of course the cost of the manuhcturing 'process.
However, these compounding costs can be seduced by the use of thin
films of semi-conducting materials for the cells instead of the usual slices
oC crystalline silicon. Therefore, with the reccnt developi~lcn t in the thin
film technology, it is expected that a downward cost trend will be
obtained. If so, photovoltaic generatim will o f f r a way o l helpillg to
meet the increasing world wide deimiid ibr electricity \i I t Ilo~it
accelerating the deplelion of our finite resoiirccs of' fossil fuels, adding to
the contamination of the atmosphere or builtling hundreds of Iwnlth
hazardous nuclear power stations. Additionally, solar power l~as the b
advantage of being generated as and where it is needed. I lcncc, s;lving the
cost and avoiding the losses of transmission lines.
A thin film is a layer of material with a thickness oS the order of a
micron that is deposited on a substrate, its mechanical suppol-t. Thin lilrns
can range in tl~ickness from a l~undredth of a micron (about 100 atomic
layers) to a few tens of micron (about the thickness of a layes of paint). .
Films of consideration here are the polycrystallinc films, that is, tillus
lying between crystalline and amorphous. Iron pyrite is a conlil-med
example of it [I] . Polycrystalline, as the name implied, are lilms -
composed of a large number of small crystals. Within thcsc c~yst:lllites, . .
the atoms are regularly ordered and their elcctric and optical properties
are similar to those of a bulk single crystal of the material. 'I'he
crystallites in the film are packed together in a pirrely random fashion, so
that any electric current flowing across the film must cross many.
. boundaries between.crystallites, and these grain boundaries exert a strong .
influence on the characteristics of the films. t ,
Polycrystalline film materials seem at first sight, unlikely to be useful
for efficient solar cells since their electrical properties are so inrerior to
those of crystalline materials. However, the semi-conductor which arquse
in polycrystalline cells absorb light much more strongly than crystalline
silicon, about 95% of the light can be absorbed in only a few microns of
the semi-conductor material, so the material can be made hundrcd times
thinner than a silicon wafer [2]. F~~rthermore, if the film is deposited
under carefully controlled conditions, each crystallite can be a small
column extending through the whole thickness of the film; current then
flow up these crystalline columns malting the device bchaving retiler like
a large number of tiny crystalline cells connected in parallel. The cl'l'ect of
the grain boundaries, though not said to be eliminated, but is reduced; and
the larger the diameter of the colun~nar crystallites or grain, the smaller
the effect of the grain boundaries.
For solar cells, such films i ~ u s t have a high absorption coefficient and
an o p t i ~ m m energy gap (about 1.4eV Tor single junction); i t must have a
diffusion length many times longer than the inverse absorption coeflicient .
so that all photo generated carriers can be collected; it should be stable
during operation and non-toxic. Unfortunately, solar I ! . cells have always
been faced with stability problems, which may degrade the cells. These
problems that arise from the structural, micro-structural and stoichiometry b
changes in the cells during operations have, as good-news, been foi~ncl to
be surmountable by doping with impurities [3 1.
In solar photo-thermal converters, it is desired to maximise the
efficiency of the conversion system by minimising the thetmal losses by
surface radiation and at the same time enhancing the solar absorptivity. In
other words, the collector windows should.be transparent to infrared but
should absorb radiation in the solar range. This is to allow the infrared to
go through to the absorber unabsorbed. Surfaces exhibiting these
characteristics are referred to as selective surfaces. Technically, these
surfaces should have absorptivity, a close to 1.0 in the solar range 0.3 -
2.3pm and low thermal emissivity, E close to 0.0 in the infrared (X ,>
2pm). This low emittance requirement hecomes inore of an advantage as
the workmg temperature of the system increases. These requirements are
comfortably met with the development in thin film technology. For
therinal collectors operating at high temperatures, the development is a
gateway opened to dropping the ideas of smoking matt black paint
application. Although, selective surfaces cost much more but has the
advantage of withstanding years of fluctuating high temperatures and at
the same time retaining its figure of merit, a/& as high as possible. , I n the case of collector windows used in conjunction with solar cells
the layers should be transparent to visible radiation to allow sunlight . . : '
through to the absorber, it should form an efficient hetero-junction with
the absorber, it should have a low sheet resistivity so that the photocurrent
can be collected with minimum loss. Ideally, it should have band gap of
over 3eV to allow visible radiation to be fully transmitted.
There are several ways of depositing polycrystalline films on a
substrate, each with i t s advantages and disadvantages. Some technic~ues
produce films, which are perfectly crystalline with electrical properties,
that are superior to those of slices of single crystal material. 'l'he choice
therefore,.is governed firstly by its proven ability to produce, for instance,
efficient cell from material, but then secondly but equally
7
important, by the cost per cell CIS manufac~uring a1 a given production
rate. Some techniques are relatively slow and labour intensive, but have
low capital cost. These techniques could producc cclls chcaply at qui~e
low production rates. Others :u-c capital intcilsivc, h i t would proctucc
cells at low cost at high producIion rlitcs. 'l'hesc techniijiics \vliich
include:
1.
. . 11.
... 111.
iv.
v.
I'l~ysical Vapour Deposition, 6
Spray - . Pysolysis,
I':lcctroche~nical Dcpositicm,
Screen-Printing and
Solution Growth, are fully discussed in Chapter 2.
In this research work, the solution growth technique would bc used
because of its simplicity and cheapness.
Thin films, apart from its use in solar cclls and as window coatings of
various forlns, are also of use in: oplics as reflecti~lg surli~ces,
microelectronics as inputs for the fabrication of integrated ciscuik (IC),
computenas memories, etc.
Justification
The immediate renewable energy alternative to the depleting
conventional energy .sources available is the solar energy; solar energy i,
converted to electricity using silicon wafers are expensive and
unaffordable by the poor majority of the developing countries that needed
it most. However, with thin film semi-conducting materials replacing
silicon wafers, they become cheap source of electrical energy and eyen
cheaper if the solution growth technique is used in the deposition. 'I'his is I I
because the solution growth technique is the easiesl a i d cheapest of all
the deposition techniques available. 'The solid-solid iron pyrite, FeS2 is an
example of a very good photovoltaic thin film grown by O s ~ ~ j i et a1 [ I ]
using this technique. Unfortunately, the cation source, Fe(N03)3.91-120, as
used by the researchers is higllly hyyroscopic and therefore,
uneconomical inpr profitable) for retailers to buy and display for sale .
because of fear of turning into liquid withill a short time. Hence, diflicult
to get and if available in the liquid form it will be difficult to deternine its
concentration. The alternative approach using the durable hydrate,
FeS04.71-120, as highlighted in this research work will no doubt
increase the film's popularity and si~nultaneously simplifying the
9
immediate-reach-assessment of its uses pal-titularly h r distmt
. researchers.
Objectives
i. To prepare, using the altcrnativc cation source, the cl~enlical bath
required for the deposition of the Iron pyrite (FeS2) thin film.
ii. To determine the energy band gaps of thc Glrns at di l lrent
deposition limes. @
CHAPTER TWO
Nature And Composition Of Solar ltitdia tion:
As the key player, the spectral distribution of the radiant energy l'som
the sun is very important, particularly in the functioning of solar dev~ces.
At the surface (temperature r 5800K) the solar energy radiatcd into space .
falls in the wavelength range of 0.2 - 3pm. But from the viewpoint of @
terrestrial application only radiation in the wavelength range 01' 0.20 -
2.5p.m needed consideration duc to rrbsosption. 'l'he spectral ;rnalysis 01'
such radiation within the wavelength range rcvealed that 4 1% 01' t llc
radiation is made of visible light rays, 9% conlprising of very short
gamma rays, alpha rays, x-rays and ultra-violet (UV) rays and the
remaining 50% house the infrared and heat rays (therrnal radiation).
'The attenuation of the sun's radiatiol" due to absorption depends upon
the thickness of the atmosphere through which the ray is travelling. 'I'he
thickness of the layer of atmosphere is called Air Mass (AM) and is the
path traversed by the direct solar beam defined as
0 is the angle of the sun to the zenith.
The recommended standard value of the solar intensity is obtained at
AM 1.5 and corresponds to 1 0 0 0 ~ / m ' [4].
Interaction Of Iight With Senri-conductor:
If light is incident perpendicularly onto a flat section of a semi-
conductor, certain fraction of the incident power, R, would be reflected b
and the remainder, T, transmittcd into the semi-conductor.
r 7 Ihc tru~lstnitlcd liyhl btu1 bc :rt)sorl)eti witl~irr :I semi-co~d~~ctor hy
wing its energy to excite electrons from occupied low energy states to
unoccupied higher energy states. Since there are a large number of
occupied states within the valence band of a semi-conductor separated by
the forbidden band from largely unoccupied states in llle conduction
band, absorption is particularly likely when the energy of the pholons
making up the light is larger than the Sbrbidden band gap, Eg, O S the semi-
conductor.
For absorbing materials of refractive index n, (-- n-ilc, complex). the
fraction of light reflected for normal incicfe~we is givcn by 15-7 1
Where lc is the extinction cocflicient and n the rcfi.activc index obtained
from [8]
Where n, is substrate refractive index (glass, n, = 1.5),
and T,,,,,, are envelope functions of transmission ~ n a x i m ~ ~ ~ n and
minimum in the transmission spectrum with interference peaks.
The light transmitted is attenuated as it passes through the semi-
conductor. The rate of absorption of light is proportional to the intensity
(the flux of photons) for a given wavelength. This common physical
occurrence leads to an exponential decay ir, intensity of monochromatic
light as it passes through the semi-conductor, described lnatheinatically as
Where a is a function of wavelength apd is known as the absorption
coefficient. This parameter is important in the solar cell design because it
determines how far below the surface of the cell light of a given
wavelength is absorbed.
The absorption coefficient a and the qxtinction codlicient k are
related. If the light is described by a plane wave of li-equency v
propagaling in the x-direction with velocity, v, it would have 311
associated electric Geld strength, E, given by [7]
The velocity in the semi-conductor is related to the velocily in
Hence,
1 .- n i k - - --- -. ........................................... 2.8 V C C
Substituting (2.8) into (2.6) gives
The last tenn is an attenuation factor.
Power will attenuate as the square of electric field strength
Comparing eq~~atiorls (2.5) and (2.9) gives the relationship
Absorption Of Light In Semiconductor
Direct - Band - Gap Semiconductor:
Fundamental absorption rclers to the annihilation or absorption o l
photoqs by the excitation of an electron from the valence band up into the
conduction band. Both cnergy arid mon~entum must be conse~-vcd in such
a transition. A photon has quite a largc eiicrgy (hv) but a snlafl
moinentuin (hlh).
The form o l the absorption process fbr a direct-band-gap'
semiconductor is shown in the energy-momentun1 sketch of fig. 2 1.
Because the photon niomenlum is snlall compared to the crystal
momentum, the latter essentially is conserved i11 the transition.
Fig. 2.1:- Energy- Crystal nmmm t z m diagram o f a dircct band-gay semiconductor, showing the absorption o f a photo11 by ~e e.ucitatim o f an elcctron from the valence to rhe conducbon band.
The energy difference between the initial and final state is equal to .
the energy of the original photon.
In terms of the parabolic bands
The specific value of crystal inonxntum at which thc tr-nnsilion
occurs is given by
As ihe photon energy hv increases, so does the value of crystal
momentun1 at which the transitian occurs. l'he probability ol' ;lbsorption
depends on the density of electrons at the energy corresponding to thc
initial state as well as the density of empty states at the final energy, since
both these quantities increase with energy away from the band edge. It is
not surprising that the absorption coefficient increases rapidly with
increasing photon energy above B,. A simple theoretical treatment gives
the result [9]
u(hv) z A(hv - E ~ ) ' ' ~ ... ... ... ... ... . ... . .. . . . . .. ... .. 2.1 5
here^* is a constant (= 2x10' cm-') with 1,v and E, in oV.
The direct optical absprption edge is determined from equation (2.1 5 )
by plotting a2 against h v and interpolating 2 - 0 and I?, is the energy gap
a t k = O .
Indirect - Band - Gap Semiconductor-:
In the case of an indirect-band-gap semiconductor, the minimum 4
energy i n the conduction band and the rnaslmunl energy i11 ht: valence .
band occur at dilTererll values 01' cryskil nlopcnlum (lig. 2.2). 1'1wto11
energies ~riucll larger than the forbidden gap are rcquircd to give direct
transition of electrons liom the valence to the conduction band.
However, transitions can .occur a t . lowcr ' energies by a two-step
process involving not only photons and electrons bill also a third particle,
a phonon. In the same way as light can be thought of as eithcr waves or
particles, so can the coordinated vibration of' the atorris making up the
crystal structure. A phonon is just a quantum or fi~ndamentrrl particle,
corresponding to the coordinated vibration, opposed to photons; phonons
have low energy but relatively high momentum.
As indicated in the energy - in omen tun^ sketch (fig. 2.2) an electron
can make a transition from the maxin~um energy in the valence bnnd'to
the minimum energy in the valence band in the presence 01' photons of
suitable energy by emission or absorption of a phono11 of the required
momentum. Hence, the minimun~ photon energy required to cxcite an
electron from the valence to the conduction bi~nd is
h v = E - EP ........................................ 2-16 B
b
Where Ep is the energy sf aii i i h i i i b d photon with the rzrjuired
Fig. 2.2:- Energy -- CIy~tiiI m o m n t i n diagr~im ot 'at] indirect hmd gap serniconductclr, sho wikg the a &sorption of pho tons by two-step process in v(11ving phonon cxnissio~~ or ahso~ptio~~.
Since the indirect -- band gap absorption proccss requires that an
extra "particle" be involved, the probability of light being absorbed by ,
this process is much less than in the direct - band gap case.
Hence, the absorption coei'licient is low a i d light can pass a
reasonable distance into the semiconductoi- prior to absorption. An
analysis of the theoretical value of the absorption coefficient gives the
result [7]
for a transition involving phonon absorption, and
for one involving phonon emission.
Since both photon emission and absorption are possible for hv, > '
Eg++Ep, the absorption coeXicient is then'
An empirical expression of cc to a high degree of accuracy over the
photon energy rungc 1 . I --- 4.0eV and for ~ h c tcnlperaturc; r-angc 20 SOOK
is given by [ 1 01 ......... 2.20
[ h v . . 3 (I) .I- fi ,]' .. ... ( q = 4,. ---L-I'L_ -1- li#,, ( 7))' '
. . 1-1.2 exp(Epi I KY} -- 1 j11,2
Where the values of the constants Aq, E, and E,, arc: as given in table 2.1
Table 2.1 . . . . . . .....-.............. .....
1 -
Quantity - ............................... ...-. ...
E g o ) 1.1.557eV ..................................................
&2(0 > 2.5eV
against photon energy h v [9]
Graphically, the indirect optical gap is determined by plotting a(1lv)"'
. .
The average solar absorptivity, a, can be obtained from [I 11
Where cx, is the fixlion ol' the solrlr radirltion absorbed. &(A) is the
radiant energy emitted by the sun at a particular wavelength which can be
obtained from distorted h - plots assuming air mass 2 for the solar input.
R(h) is the reflectance at wavelength h. .
Recombination Processes
If light of appropriate wiivelengtl~ is shonc on to a semiconductor an
electron - hole pairs arc created. 'l'he coilccntration of carriers in an .
illuminate material is in excess of their values in the dark. If the lighr is
switched ofx these coilccntrations decay back to their eq~~ilibriuin values.
, ? Ihe process by which this decay occurs is known as recoi~bination.
Three difTerent recombination mechanisms arc described i ~ i d can occur ip
parallel.
Radiative 1ieconlbi.a tion:
Radiative recombination is the reverse of :tbsorp~ion process. An
electron occupying a higher energy statc than it would under tliermal
equilibrium makes a transition to an empty lower -- energy state with all
(or most) of the encrgy difference between the statcs emitted as light.
Radiative recombination occurs more rapidly in direct band gap
semiconductors than in indirect types because a two -- stcp process
involving a phonon is required in the latter.
'The total radiative recombination rate R K is prc)porhial to the
product of Ihe concentration oE occupied slatcs (electr-ons) ill the
conduction band and that o'f unoccupied states in t11c valelice band
(holes).
Where B is a constant for a given sen~iconductor.
In thermal equilibrium when np - n:, this recombination rate is
obtained by an eclual and opposite generation rate.
In the absence of externally stin~ulated generated, the net b
recombination rate, 1JlX corresponding to ItR ribove is given by
The carrier lifetimes, z, for electrons and q, for holes call be dclined as
An and Ap are the disturbaixes of the respective carriers from heir
equilibrium values no and p,.
For the ra'diative recombination mechanism with An -. Ap the
Where I3 has the valuc of 2 x 1 ~ - ' ~ c i n ~ / s h r silicon.
Auger Kecom bina tion:
Here, the electron recombining gives its cscess cnergy to a nearby '
electron instead of emitting as light that relaxes to tlw o r i g i d state by
emitting phbnons.
The characteristic liletirne z for this process arc [7 1
'I'he first and thc second tcrins on the right dcscribc respectivcly the
electron excitation in the minority and the majority carrier bands. ' h i s
process occurs in relatively highly doped inaterial due to the sccond term.
Recombination ?'hrough Traps:
Inlpurities and defects in semiconductors can give rise to allowed.
energy levels within the hrbidden gaps. 'These then creates a very
efficient two-step recombination process. in which electrons relax lion1
higher energy state to the defect level a~rd later to the vriletice band
annihilating a licjk.
'I'lrc net rwombiria~ioi~ ratc by traps lJ,r, can bc writtcn as
Where zh, and z,, are lifetime parameters' whose values depend on the
type of trap and volume density 01' trapping dd'ects, 11, and pi are 4
parameters arising from the analysis which introduce a dependency of the
recombination ratc upon the energy ol'thc trapping lcvel, ItrI..
Where Nc is the efkctive density of states in the conduction band. .
If defects (impurities) exist near the middle of the forbidden gap (i.e.
when pl=nl), eiTective recombination centres are created.
Recombination At Surfaces:
Surface represents rather severe defects in the crystal structure arid
therefore a site for same type of recombination process described above.
The net recombination rate per unit area, I),, f i x a single-level surface
states is
.sea S*" (np - -- 11; ) -. - . - - -. . -- . . . .- . . . . . . .
S,,(n -t- n,) + S&(p i p , )
Where S,, and Sho are surface - rcconlbination velocities.
Thin Fihu Growth 'I'ecluLiyucs
There are severd methods of thin lilm growths each will, its
advantages and disadvantages. Thc choice thcreli~rc is :I Iiinction of' thc
nature of the de~nand h r the thin film, b u t gcncsally, thin lilm grc)\ytll
have some common aspects that includes:
i. the tlux ol'atonls and molecules to thc surl'ace ol'thc substr-ate.
. . 11. the energetics of the incoming species on the substrate which :ire
determined by the-heats of condensation and i or Ibrn~ation
... 111. and iinally, the organisatiunrtl inllucnce t11:11 are prcsent at. the
substrate.
The ability of the incoming molecules to accommodate these
organisational forces depends on the atomic mobility at the growing
surface, which in turn depend on the energy of the atoms or molecules,
and impurities and the stsuctural defects present on the susl'acc. 'I'he bettcr
the accominodatian 011 the substrate, the closer the layer is to bcing a
single crystal. In hct , the growth of thin films is siinilar in inany w;iys to
the settling of immigrants in a new land. If the inconling numbers are
large and the resources (energy) arc limited, thc resulting scttleme~lt will
likely be chaotic. On the other hand, if the i n h s is reasonably slow and
the resources ample, an orderly (epitaxial) settleinent call result a f t p
some rearrangement. Below are the deposition techniques applicable Sir
polycrystalli~~e thin films.
Physical Vapour Deposition (PVII):
'I'his is the lllost usual nletllod of depositing thin films. The deposition .
takes place in an air-tight chamber of nletal or glass in which thc air
pressure has been reduced to about one thousandth of a millionth of one
atmosphere (1 o - ~ 'l'orr). The material to be deposited is in the lbrm oC
solid pieces, powder or pellets. It is heated inside the vacuum chamber
until it begins to vaporize and the vapour stream impinges on thc
substrate on which he film is 10 be deposited. Since thc substrate: is
cooler, the vaporised material condenses onto it and layers of the lilin
2 8
build up at the rate typically of one micron pps minute to one micron per
hour. Heating of the source material can be done by heating electrically or
by using electron bean, laser beam, radio freqircl~cy coils or micsownvc.
Each with its advantages.
The PVL) teclmique is easier for metallic elements because their
composition remain unaltered. For compound semiconductos materials,
transition Srom solid to vapour is niore colnplcx becausc the solid
material rarely beconles molten and the vapour is dir-ectly produced li-om
the solid surfacc. 'l'his m a n s that the vapour hardly consist ol' the
molecules of the compound, instead the compound is usu:~lly spl~t inlo its
constituent elements, and if the vapoirr pressure of these elements at the
source temperature is vely diflcrent, then the ratio of the tonis is in the
vapour stream will be quite diEeree !i'cm the ratio of the solid. 'l'he thin
iilm that condenses Gom the vapour is then likely to have stoichionletry
(atom ratio) that is different from that of the sourcc material. I t is
therefore not uncommon that only 5 -- 10% of the source material bc
deposited on the substrate, so it is a very uscSu1 technique.
Sputtering is another PVD technique in which the source materiuI*is a
large fllat plate (the target). The atoms arc: vaporised not bv heating but by '
bonlbardment of the target by ions of Argon. Since the substrate is ilat as
the target, they form the plates of a capacitor. If a 1.X or l iI: discharge is
set up in argon gas at low pressure betweell these plates with the energetic'
argon ioil bombarding the targets, atoms arc knocked out 01' its surl'zlce
and then condense 011 the substrate.
This technique has the advantage of uniform coating over- 1h:tt of
thermal or electron beam evaporation. *
Spraying:
Semiconductor lilnls can be deposited by spraying a solution 01' the
elements onto a hot substrate. The solvent evaporates and the clenlcnts
react to leave a film of the semicondirctor material. l'his is, in principle, a
very simple technique similar to spraying paint on to a surIace and
requires. only small capital investment to coat large areas. In practice,
however, the technique has a number of problenls that have prc~unicd it
from fulfilling its apparent promises.
Most elements arc not soluble in cheap, rlon-toxic solvent, so they
must be combined into soluble compounds that are tllemselvcs cheap liiiil
. non-toxic and which decompose completely at tllc teinperatirre 01' the
substrate into the elenlent and a gas. 'l'his gas must be non-reactive and
stable at the substrate temperature so that it does not contaminate the
semiconductor lilm. 'l'he temperature at which the reaction occur must not
be too high, so that cheap substrate nlalerials such as glass may be used:
but it should be high enough to promote h e reaction of the clernents into
the required semiconductor coinpound and to promote thc growth oi:
crystalline of'the illaterials in a reasonable ordcscd way. * .
Elec trochenlical Methods:
Electroplating is a well-known technique lbr producing th in films or
metals (e.g. chrome plating). It is also a powerful method of deposititlg '
semiconductor films. The element to be .deposited are just made into ionic
compounds and dissolved in an appropriate solution. l 'he cornpoirnds
ionise in the solution so that the element exist as electsically charged ions.
If an electric field is applied, the charged ions arc forced to either anode
or cathode depending on their charge, and are deposited there when their
charge is neutralised. If the electric field is ~miiorni and the
concentrations of the ions in the solution are unilixrn, then a unifi)rm
deposit of the elements or compounds can be produced over large area.
Electroplating can be used for some or all the stages of production of
solar cells. It can be used to deposit metals tbr the front and / or. back
contacts to the cells, as well as for the deposition of the semiconductor
materials the~l~selves, so it is possible to envisage the production of a
complete module in a series of electroplating bathes. Unfortunately, the
use of' water as solvent h i t s the deposition process-taking place well b
below 100°C. Hence, extra heat treatment is ileeded to promote the
growth of the lsrger columnar, close-packed cryst:dlitcs needed lbr solar
cells.
An alternative to electroplating is electrophoretic deposition; a
suspension 01' vcry fine particlcs of t l ~ c semicond~rctor in a licli~id is
placed in an elect-ric iield. The electric field induces a11 electric charge on
the particles, which then move under the inlluence of the lield and deposit
on a conducting substrate, which neutralises their charge. 'l'he deposit is
in the forin 01 a layer of these very fine parlicles, held looscl\i together,
but a subsequent heat. treatment can trnnslorm the deposit into a
. polycrystalline film. It is dii'ficult to produce large columnar grains lvith
good electrical propertics, but lilnls with good oplic:lI propcrtics call bc
produced which may bc: suitable iiw window layers.
Screen - Printing:
Here, ink is produced which consists 01' a suspension ol' veiy line
particles of the seiniconductor or the elements in a carrier fluid. 'The
substrate is held just undenleath a fine wire mesh, and the ink is spread
over the mesh by a flat blade called a squeegee. The pressure of the
squeegee on the wire mesh pushes il in contact with the substrate and b
squeezes the ink through the mesh on to the substrate. The release oi'the
pressurc on the mesh allows it to spring back away froin the substrate
leaving ink on the substrate surhce. The ink is dried and then Grccl at
high temperature to produce the final film.The subsequent heat treatment
promotes the reaction between the elements to form the coinpound and
helps to produce large crystallites and good electricd propel-lies.
Solution Growth Technique:
The solution growth technique is based on the solubility product
principle which states that in a saturated solution of a weakly soluble
compound, the product of the molar concentration of its ions (each
concentration term being raised to a power equal to the number of ions of
that kind) called the ionic product, is a constant at 3 given tempcr:ltiire. '
For instance Cd(OH)2 when added to water will hydrolyse according to
the reaction
Cd(OI-I)2 f ~ d " + 2(OH)
The ionic product, 1P is given by
[ed2+] x - constant, called the solubility product, SI'
The above condition must be satisfied for equilibrium to occur. When
the ionic product is greater than the solubility product, precipi1:rtion.
occurs. 13ut when IP is lcss tliun thc solirbility product, thc: solid pl~i~sc:
will dissolve until equilibrium is reached.
If precipitation spontaneously occurs, thc
certainly not a thin f h . Thereliose, eliminate by a
ion reaction. This is achieved using a f'airly stable
ions called the ligand or complexing agent to provide controlled nunibcr
of the free ions. For a reaction with appropriate ligand, the concei~tsa~ion
of the resulting ions would be controlled by the conccntratioti 01' ~ l l c
complexing agent itself and the solution nlicrostruct~rrc.
In the solution growth technique, the substrates :ire immersed
vertically in the solution bath and a continuous stirring is obtained with a
magnetic stirrer. The temperature of the bath is monitored by contact
thermometer that f o r m a part of a fecdback circuit controlling the heater
to maintain a constant temperature. When the TI' 01' the metal and the
chalcogen ions exceeds the SP of the corresponding chalcogct~itlc. film is
formed on the sul~strate by an ion - by - ion coildensation proccss. b
Cornmoiily with most deposition tcchniqucs inci uding tllc solu lion
growth technique, thc growth 01' the I'irst fkw atomic layers has 'a11
enol-mous elrect on the final structusc 01% the lilnl. As atonis begin to be
deposited on the bare substrate, they do not remain at the spot where they
arrived, but n~cailder arouiid the substratc iintil they come to a site wllen
bonding to the substrate is a irt~ximum. These nucleation states trap the
wandering atoms, and it is at these sites that the film stmrj to grow. At
first the monolayers are arranged in just about the same way as in a
c~ystal of the semiconductor, but the monolayer liom one nucleation site.
has no orderly relationship with thosc of ncighbouring sites. The
boundaries where the nlonolayers meet therefi~rc remain distinct a i d no
mesging of the layers. As more atoms arrive, the crystalline layer around
each nucleation site gets thicker at a rate, which depends partly on the
crystallographic orientation of the layer. Some clytirlal directions allow the.
layers to grow more rqpidly than others, and the cryslallite layers with
these . o-6enta tions grow more quickly than those with other oricntn tions
until crystallites with the "fast growth" orientation swamp all others.
The way in which the crystallites mect at their bou~ldariw can
strongly influence the properties of the film. The ciystallites (grains) di)
not completely fill all the volume of the iilnl, and there are pores between
. the grains, which sange in s i x from a few Angslroin to a Ikw ~cnths ol',a
micron. The small pores fill with liquid watkr when the film is in a
normal atmosphere, so the optical properties are a inixqure of those of the
serniconductor and water, weighted according to the relative ainounts of
each. These pores can occupy from 0 to 20% of the total vol~rme of' h e
film; and the higher the temperature of the substrate; the better is the
crystallite structure of the thin film.
The Deposition Tecl~~ique Uscd :
In this research work, an aspect of solution growth technique called
chemical bath deposition has been used. Chen~ical bath dcposition is the
simplest of all known technique for fhbrication of thin lilnls. Con~pai-cd to
other forms of chelnical dcposition tcchniq~ws, it requires only very B
simple and modest equipments that are alli,rdable. 1 Icnce, cost clkctive.
'Other advantages include:
= easy scaling up ibr large area
high ins tel-ial u~ilization
low temperature required fix- deposi~ion
'uniformity in the film thickness and above all
comparable oplo-electronic properties with tl~osc obtaincd by
other techniques
Sample Prepars tion:
For the thin tilm of interest, Iron pyrite (i:eS2), used was made of
hydrated Fcrrous Sulphate, h'cSU4.7H20 (nlolccular weight,
MW-278.01) as the cation source; Sodium Thiosulphote, Nn2Sz03.riJ-120'
37
(MW=-248.17), the anion source and . t;,lhylene 1)iarnine l'etra Acetic
Acid, EDTA (MW-372.24), the con~plexing ageu t. 'The* cornplexing
agent is the most important parameter in chemical bath deposition
because it greatly inlluenced the stl-uctur-a1 and clectro-optical propel-ties
of the film.
Solutions with the required lM, 1 M and 0.1 M conccnlralioiis jbr-
FeSO4.7Hz0, Na2S2(J3.5H20 ard W T A respectively were prepared by 4 -
dissolving respectively 27.80 1 g, 24.8 17g and 3.7242g, each separately, in
lOOml of distilled water. Chemical bath for the deposition, after several
trials, was formed with 2ml of the 1M fer.rous sulphate solution to which
2mlo l the 0.1 M EDTA was added and stirred for 2rninutes. 5ml of the
1 M Na2S2O3.51-I20 was then added and finally 3 I n-11 of distilled watcr was
added to bring up the total volunle of the mixture to 40ml and the
resulting solution vigorously stirred
The solution was observed to be clear with no im~nediate visible reaction.
The EDTA in the solution bath serves as complexing agent tor the slow .
release of metallic ions in the solution. A previously wcll clemed and
drip-dried microscope glass slide substrate was then suspcndcd vertically
along its length in the chemical bath with the aid of'a supporting device
38
as shown in fig. 3.1. The set up was then left ~~ndisturbed at room
temperature for 16 lmirs, a meaningful deposition time t i~r h'eS?. 'l'he .
experiment was separately repeated h r 17, 18, 19 and 20 Ilours . .
deposition times to observe film growth rates. At thc end 01' tlie
deposition times, the slides were respectively taken out of the chemical
bath, rinsed with distilled water and allowed to dry in hot air. ?'he slides
were observed to have been coated with brownish yellow deposits. * Variation in film growth paranlctcrs and the optical absotptibn
measurements of the film deposited fix dilflcnt reaction baths were also
studied.
Reaction Equations Of The Film Deposition:
In the deposition 01' FeS; films described here, the S-' ions were released
[rom the hydrolysis of Sodium l'lliosulphate and Fe2' iiom t h a ~ of
Ferrous Sulphate in the presence of EDTA acid and the ion-by-ion
condensation of FeS2 onto the substrate represented by the equations
FeS04 '+ Na2S203 -t- EDTA ---+ FcS203 -t Na2S04 1- EDTA . . . . . 3.1
FeS203 -(; 6Xt FeS -t- S + 3fI20 ... ... ... ... ... ... ... ..... .. 3.2
FeS + S ----+ FeS2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 3.3
/ r 7 n / J G l a s Slide (Substrate)
- - -
~;iii;:+-------50 ml Beaker
Fig. 3.1:- Sketch o f the e.~perin~cntal set up
Determination Of ?'he 13and Gap:
The direct energy gap E, is deterniined li-om equation (2.15) by plolling
u2 against h v (= hcil;) and interpolating a'- 0 callcd thc absorption edge.
At this point
Where c is the velocity of radiation, h, is the minimum cut-ofT
wavelength at the absorption edge and h is the Planck's constant.
Alternatively, E, is calculated from equation (3.4) by determining h, ii-om
the plot of a against h and exqrapolating a =: 0, the absorption edge
wavelength.
CI-IAP'TEII FOUR
Measurements And Discussion Of' Kcsults
Physical Appearance Of The Deposited Film
'The film deposited was brownish yellow in colour and adhered lirnlly
onto the glass substrate. It was insoluble in the chemical bath and water
but soluble in hydrochloric acid. The deposits were unifbrm through out
the dipped portion of the glass slide. &
Nevertheless, the films are not said to be free from pinholes arising from
such thi~igs as dust particles on thc subslr:lte during dcposi t ion, wliicli
subsequently fd l out of the film, or from defects on the substrate, which
prevent nucleation and growth o f ~ h e lilrii.
Film Thickness
'The inethod used in the ~neasurement oftlie thickness of the lihn was the
gravimetric method. In this method, the length and breadth o f ~ l i c iiliti on
the glass substrate were measured with Ihe aid of a Vernier Calliper arid
the mass of the deposited film obtained fiorn the dilkrence between the .
masses of the substrate before and after deposition. The thiclcness ol'the
film is then determined -fioni the ratio of the mass of the film to the
product of its density and area.
4 1
i.e. Thickness of film - (Mass oS Glin)/(Density of Glm x Area of film) ,
The density that was used was bulk density of the Iron pyrite, which is
5000kdm3 [12].
The variation in the FeS; film thickness with deposition time was studied
with variations in:
i. Sodium Thiosulphate concentration and
. . 11. Ethylene Diamine Tetra Acetic Acid concentration
4
Which' are represented in the vchrne ratio FcSO.~ : Na7_S7_03 : 111)'I'A as
seen in t j ~ e table. 'I'hc values obtaincd are as show11 in tablc 4. I
Table 4.1:- Variahn in FeS' film t/ikk~~css with dqmsitim tinx tbs differc~i t corn bina tiom1 volume 121 tios
Deposition Times (hrs)
16
17
18
19
20
Thickness (x 1 0-8m) for dilkrcnt volumt: ratios .
'The e&cts of varying the concentration of sodiuin thiosulpliatc and
ED'I'A acid on the thickness of FeS2 over the deposition pcriod has been
investigated and represgnted graphically on fig. 4.1. It could bt: sccn liom
this figure that the best con~binational volumc ratio with the best growth
and that that gave the greater film thickness is that obtained f'ronl
2ml:5nd:21nl (that is column B, on the table 4.1). Closely followed by that
in column A, 2inl:2ml:2nil. On the other hand, column C,, 2ni1:5in1:4in17 b
gave poor film deposition. This not surprising but an indicator of' the
effects of vitryirig ligand concentrution have on the film fiornmation. For
this particular case, is a response to the incseasc in the volumc 01 the
EDTA tioin 2nd to 4mi and of course pointing dircctly to the increased
"stinginess" in the role the EDTA played. Moreover, as observed in some
trial experiments, deviations particulilrly in the concentration or volirme
of EDTA from the optimum values often results in the formation oS very
thin and non-uniform films or totally into no iiim growth at all. 111 one
such example where 2ml:5ml:lml volume ratio was used, no Iilm was
deposited. This however, could not be seen as "stingjncss" rather- an
incomplete complex formation of the cations that, instead, resulted into
precipitation than deposition.
Study Of 'I'he Absorbance Of The Film
The optical absorption measurements of the film deposited on the glass
substrates were made on PYE UNICAM SP8- 100 UV spectrophoto~~~eter
in the range 200nm 2 h 2 800nm spanning the ultra-violet, the visible and
the near infrared regions of the solar spectra. The measurements were
such that the coated glass substrate was positioned in the path of one of
the beams and a blank glass substrate in the reference bean path. The
absorbance, a, as a iitnction of the wavelength or the incident radiation
was s t~~d ied and recorded in table 4.2 for the two best combinational
volume ratio samples, A, and B,, where t = 16, 17, 18, 19 and 20 hours.
Table 4.2:- Variation of Absorbance with wuvelength for the sample A,
Wavelength (nm>
~
Absorbance, a, for A, - 2ml:2ml:2inl
200
-- 220
240
260
-
A20 A16
0.083
0.086
0.089
A18 --
A17 .
A19
0.092
.
0.095
--
0.096
0.095
0.091 0.100
0.064
0.094 0.105
---
0.088
-
0.097
0.089
0.084 0.089
0.092 0.100 0.086
--
.-
b o o
Absorbance, a, for 1'3, -- 21111:5n11:2rnl
Figures 4.2 and 4.3 represent the superimposed plots of the graphs of the
Absorption Edge, 1,
thin films absorbance as a function of the wavclcngth of the striking .
lhcrgy Iland Gap, I:,:
'photons for each of the samples in and 1'3, respectively. I n e:ich casc, . .
maximum absorbance ibr the individual samples involved occurmd at one
lleposition ,- .- ........... ---...--....-.................... ...... llllle (hrs) : .--
.......................................
16 442 400 2.81 3.1 0
- 17 461 ' 2.92 2.69
,
. 18 500 2.48
- ......
19 406 438
......
20 453 460 2.70
.-... .- ....-...... ....
single wavdength of'34Onm close to the ultni violet rangc (350-400111~).
At this point all the thin film samples have shown high absorb:lnce.
Unfort~inately, the highest absorbency obtained in each of the A, and 13,
did not correspond, as expected, to samples with the 11 ighest lllickness
(A20 and B20); but their broadening out, pafli-ticulasly of 1320 into the visible
region (390 -- 770nm) represmls in tolaiity its superiority as absorbing
film than any one of them. Also are some observable rises ill absorbance
around 600nm in the visible region shown by A17? AIB, Bl6, lLO folhwing
falls at some points between 500 - 560nnl. 'I'!lis rise could possibly go
higher with increasing lilrn thickness; it may evcn extend inlo the infrared
region.
Figures 4.4 -- 4.8 represent comparison made in the absorbance 01' tl\e
individual samples in At and 13, with same deposition time. 1316 and 1320
showed higlier absorbance. in the ultra-violet lhan their corresponding A,,
better absorbing film in the visible region than the At. This change cannot
be coinpletely separated from the concentration chaoge eikct 01' sodir~n~
thiosulphate fiom 21111 to 5ml in the l3t that still allowed deposition to
continue ahead of the terniinal phase ofA2(,. That is to say, more layers af
the film would have been a d d d to b0 il' only its deposition time had
been extended.
Never mind the optical characteristic differences displayed of all filnis in .
4 and B,, as they are, make good invited guess for solar cell window
layers party with B16 o~cupying the high tablc.
B16 have shown alrilost the ideal qelality recluircd ol'a vely good so1tl1- cell
window layers. With the energy gap of 3. lOeV, it will transmit all solar
radiation of waveleiigths greater than. its nbsol-ytion edge u~avelength
(400nm) and this iiiclude substmtial part of the visible radiation; and
simultaneously absorbing all solar radiation of energy band gap gl-cater-
than 3.1OeV
A17 and A19 are equally good, but Bls bccnose of' tllc vciy hbh '
absorbance it has in the ultra-violet region will transmit only negligible
quantity of the ultra-violet thereby saving tllc cell more fi-om ovcr
heating.
With these results, FeS2 thin filn~ has gotten a dual lnerilbership of good
photovoltaic [l ] film and good selective window coatings.
Fig. 4.0:- Picture of f3m samples on glass didcrs
Absorbance, a
Absorbance, a
Absorbance, a
0 P +
P z 9 tQ 4- z P
V\
Sununary
The chemical bath required fix thc deposition of the solid iron pyritc,
FeSj, thin film has been prepared and successhlly deposited on a glass
slide substrate. The chemical bath is made of 21111 of' 1M VcSO,,, 5ml of
1M Na2S203 and 21111 of 0.1 M EDTA, the complexillg agent. 'I'he film * deposition required longer period to be appreciated. The lilms thickness
range lium 4.070 x 1 - 6.523 x 1 O-xnl liw s:mplcs with 2m1:5nil:2ml
volume ratio and 3.998 x 10" --- 6.129 x I0-~1n for 2nd:2n11:2ml of the
respective FeS04:Na2S703:EDrl'A over 16 - 20 hours. 'I'he fil111s were
generally ibund to haw high absorbance in the ultra-violet (0.35 ---
4.0pm), low in the visible (0.39 - 0.771~1~1) and the near infiai-ed
(>0.7pm). The band gaps for dl the saniples used liave becn detem~itied
from their absorption spectra. They range fiom: 2.74 - 3.06eV fbr A, and
2.48 - 3.10eV for
Application Of result
The thin films grown are generally siritable lor use as selective window
coatings for solar cells. This is because the lilnis have shown high
absorbence in the ultra-violet, low in the visible and the inhared. 'I'he
film with E, = 3.10eV has almost all the ideal qualities required for this
purpose.
b
Conclusion
Thin film of 17eS2 l~ris been succcssfurlly growil and deposited 011 glass
slide substrate using the solution growth technique. Details of the .
deposition procedure have been reported. Its possible practical application
as selective window coatings for solar cells has been discussecl. l'he
alternative approach using Z;eSO4.7I-120 has been proven Letter and
econonlical. The che~nical bath constitute a total v o l u n ~ of only 9ml
instead 1 71111 using F c ( N O ~ ) ~ as contained in Osuji et a1 I I], excluding
distilled water. The deposition technique used remained simple and
modest.
Suggestions For Further Studies
Material properties such as resistivity, temperature stability, etc. of the
film has not been determined for a complete assessment of its behaviour
as good window layers6for solar cells. In addition, more work could be
carried out using various volumes of the bath parameters to determine the
dependency of the film growth on them to obtain the volume combination
that could give a better terminal thickness.
REFERENCES [ I ] Osuji, R. U., Olteke, C. E. and Muokebe, I . S. 0. (1993). Nigeria.11
Journal of Solar Energy. 12, 80-86
[2] Fill, R. (1991). In Generating Electricity from the Sun, Treble, F. C. (Ed.), Pergamon Press, Great Britain. 47- - 124-
[3] Fraas, L. M. (1.978). J. Applied Physics 49, 871
[4] Report ERDAINASAII 022 - 7711 6, June. (1 977).
[5] Andrews, C. L. (1960). Optics of'the electromagnetic spectrum, Prentice I-Iall, New Jersey.
b
[6] Heavens, 0. S. (1955). Optical properties of thin solid film, . Butterworths, London.
[7] Pankove, J. 1. (1 97 1). Optical processes in semiconductors, N. J. Prentice iiall, Eaglewood Cliffs.
[8] Clark, A. H. (1980). In polycrystalline and amorphous thin films and devices, Kazmerslti, L. L. (Ed.), Academic Press, New York, 138 - 140
[9] Vavilor, V. S. (1965). Ejfect of radiation on semicondzictors, Consultant Bureau, New York.
[ lo] Rdjkanan, K., Singh, R., Shewchun, J. (1979). Solid State Electronics 22, 793.
[I I] Buhrman, R. A. and Craighead, H. C. (1980). In solar materials sciences, Murn, L. L. (Ed.), Academic Press, New York, 277.
[12] Langes, J. A. (1973). In Handbook of Chemistry, Mcgraw Hill, '
New Y orlc.
[13] Alhassan, J. A. (1992). M.Sc. pro-ject report.