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Submitted on 1 Jan 1990
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Krypton adsorption on (0001) graphite pre-plated with
cyclohexane
A. Razafitianamaharavo, N. Dupont-Pavlovsky, A. Thomy
To cite this version:
Krypton
adsorption
on(0001)
graphite
pre-plated
with
cyclohexane
A. Razafitianamaharavo
(1),
N.Dupont-Pavlovsky
(1)
and A.Thomy
(2)
(1)
CNRS, Laboratoire Maurice Letort, BP 104, 54600 Villers lesNancy,
France(2)
Laboratoire Mixte CNRS-Saint Gobain, BP 28, 54703 Pont à Mousson, France(Reçu
le 30juin
1989,accepté
sousforme
définitive
le 20septembre 1989)
Résumé. 2014 La
physisorption
dekrypton
sur une surface degraphite préalablement
recouverte decyclohexane
(C6H12)
également
physisorbé
a été étudiée par volumétrie entre 71 et 83 K.L’adsorption
dekrypton,
fortement inhibée par laprésence
du filmpréadsorbé,
ne devientimportante qu’à
despressions
nettementplus
élevées que celles observées surgraphite
nu. Les résultats obtenus dans le domaine de la monocouche ont étéinterprétés
par undéplacement
partiel
deC6H12
par lekrypton
et la formation de cristallites deC6H12
3D, ainsiqu’une
miscibilitépartielle
desphases
2D. Aplus
fort taux de recouvrement, lekrypton
s’adsorbe sur lui-même. Abstract.2014 Krypton physisorption
on(0001)
graphite pre-plated
withcyclohexane
(C6H12)
alsophysisorbed
has been studied between 71 and 83 Kby
means of classical volumetric methods.Krypton adsorption
isstrongly
hinderedby preadsorbed
C6H12,
and becomessignificant
at pressuresdefinitely higher
than on baregraphite.
In the firstlayer
range, apartial displacement
of thepreadsorbed
C6H12
filmby krypton adsorption, according
to a first orderphase
transition process, was assumed, as well as 3DC6H12
crystallites
formation andpartial miscibility
of the 2Dphases.
Athigher
coverageskrypton
adsorbs on itself. ClassificationPhysics
Abstracts 68.45 - 64.70 - 68.601. Introduction.
The
study
ofcomposite
films adsorbed on well characterized surfaces havegiven
rise tonumerous
investigations
within the last years, in order to determine two-dimensional(2D)
phase diagrams equivalent
to three-dimensional(3D)
solutions andalloy
diagiams
[1-11].
Classical volumetric methods can beapplied
to thestudy
ofbinary
mixtureadsorption by
means of the
pre-adsorbed layer technique,
which has been introducedby Halsey
andSingleton,
and extended later on[1-5].
Thistechnique
isparticularly
suitable when theequilibrium
pressures of the two gases involved in the mixture are verydifferent,
as was thecase for the last
system
studied[5] :
krypton
adsorption
isotherms on(0001)
graphite
pre-plated
with sulfur hexafluoride(SF6)
were measured between 70 and 80 K. At thesetemperatures,
thekrypton
equilibrium
pressure is more than 103 timeshigher
than that ofSF6,
and the presence ofSF6
in thegas-phase
can beneglected. Krypton adsorption
wasshown to be
strongly
hinderedby pre-adsorbed
SF6,
becoming significant
under pressuresdefinitely higher
than on baregraphite. Moreover,
adisplacement
of theSF6
filmby krypton
adsorption
wasshown,
occurring according
to a first order transition process, and followedby
adsorption
ofkrypton
on itself.For
comparison
with thekrypton-SF6
system,
we have undertaken a similarstudy
of thekrypton-cyclohexane
(C6H12 )
system
on the same substrate.C6H12
has been chosen becauseof its very low
saturating
vapour pressure(about
10-15
torr),
evencompared
to that ofSF6
(about
10-7
torr)
in thetemperature
range of thebinary
mixtureinvestigation,
which confers an utmost character to the(krypton-C6H12)
system.
C6H12
pre-plating
ofgraphite
could then beexpected
to lead to the formation of a film stable in presence ofkrypton,
whichwould be
equivalent
to a new substrate.Experiments
wereperformed
on exfoliatedgraphite
(manufactured
by
« Carbone Lor-raine»)
which exhibits a veryhomogeneous
surface of 45m2. g-1
specific
area.Before
discussing
theresults,
the main 3D and 2Dproperties
of bothadsorbates,
which areneeded for the
composite
filmstudy,
and theexperimental procedure
arepresented.
2. Adsorbates.
2.1 PURITY.
Krypton
of 99.94 %purity
wassupplied by
« L’AirLiquide
».Cyclohexane
was a Merck
product
of 99.7 %purity.
The adsorbates werepurified
before eachexperiment
by pumping
on the condensedphase
inside the introductionsystem
at 77 K forkrypton,
and 193 K(dry
icetemperature)
forC6H12.
2.2 3D PROPERTIES. - The 3D
triple point
and criticaltemperatures
are 115.8 and 209.4 Kfor
krypton
and 279.7 and 554 K forC6H12
respectively.
The
dependence
ofsaturating
vapour pressures ontemperature
aregiven by
theequations :
between 72 and 91 K for
krypton
[12],
andbetween 203 and 248 K for
C6H12 [13].
Equation
(2)
cannot be used in thetemperature
range of thecomposite
filminvestigation
(70-83 K)
becauseC6H12
undergoes
aphase
transition from a cubic closepacked
structure, stable between 279.8 and 186 K to a monoclinic structure stable at lowertemperatures
[14].
This iswhy
we have determined thedependence
ofsaturating
vapour pressure ontemperatures
between 147 and 185K,
where the structure of 3DC6Hlz
is the same as thatobserved at the
temperature
of thecomposite
filmstudy :
The value of the
saturating
vapour pressure, calculatedby
means ofequation
(3),
is2 x
10-15
torr at 77K,
which isnegligible, compared
with thekrypton
vapour pressure at the sametemperature
(1.72
torr afterEq.
(1)). Consequently,
the presence ofC6H12
in thegas-phase
is not taken into account in thetemperature
range ofkrypton
isotherms measurementson
C6H12
pre-plated graphite
(70-83 K).
2.3 2D PROPERTIES. - Pure
krypton
adsorption
properties
ongraphite
have beenextensively
according
to acomplète wetting
process.Up
to five verticalsteps
are observed on the 77 Kisotherm,
which arereprésentative
ofthe condensation ofthe first five monomolecularlayers,
according
to a first orderphase
transition process. Thedependence
ontempérature
of the firstthree
steps
pressure isgiven
in table 1.A
Table I.
- Ai and Bi coefficients of the
relationsloglo Pi
(torr)
= Ai
+Bi for the first
three stepsof krypton adsorption
isotherms.i : number of the step
(a)
: after[16]
(b)
: after[17]
(c)
: our measurements.A,*
andBt
are estimated valuesassuming
a1 /i 3
decrease of theadsorption
potential
andperpendicular
entropy withincreasing
number oflayers.
Ao
andBo
are A and B coefficients for thesaturating
vapour pressure ; cf.[17].
In the
monolayer
range,krypton
condensation leads to a commensurate.J3
w5 .
R30° 2D solid. Near themonolayer
completion,
this solidchanges
into an incommensurate structure ofhigher density.
Thekrypton
cross section at themonolayer
completion
is 14.7Â2
at 77K,
asdetermined from volumetric and LEED measurements
[9,
18].
Pure
C6H12
adsorption properties
have been studiedby
means of isothermmeasure-ments
[13, 19-21].
In the lastinvestigation
[21],
which is also the mostcomplete,
a set of isotherms has been measured in the 203-293 Ktemperature
range. The isotherms exhibit twosteps,
representative
of theadsorption
of twolayers
before 3D condensation. From thetemperature
dependence
of the secondstep
pressure, the secondlayer
completion
wasassumed to occur above 145
K,
only
one densemonolayer
being
adsorbed before 3D condensation at lowertemperatures.
Thisassumption
was corroboratedby
recent structuralinvestigations
[22].
Figure
1 shows a schematicdiagram
of anadsorption
isotherm at 233 K. One of its characteristic features is theslope
of theplateau,
whichcorresponds
to a differenceof 20 % in the total adsorbed amount between the end of the first
step,
and thebeginning
of the second. In[21],
thecompletion
of themonolayer
was located at thebeginning
of theplateau
(M
point
ofFig.
1),
the adsorbed molecule cross sectionbeing
then 36.75Â2.
3.Expérimental procedure.
The
preadsorbed
layer technique
isgrounded
on the difference in condensationproperties
ofFig.
1. - Schematicdrawing
of aC6H12
adsorption
isotherm ongraphite
at 233 K. 0 is thecyclohexane
fractional coverage.temperature,
arbitrarily
chosen,
ishigh enough
to enable theadsorption equilibrium
control[13, 21].
Thesample
is thenslowly
cooled(0.5
degree
perminute),
in order to avoid any distillation on the cellwalls,
down to thekrypton adsorption
temperature.
Twoproblems
had then to be solved beforecarrying
on thisinvestigation.
First,
what is the adsorbedC6H12
amountcorresponding
to acomplete monolayer ?
Second,
at whattemperature
shouldkrypton adsorption
beperformed ?
A difference of 20 % in the
C6H12
adsorbed amount is observed between thebeginning
and the end of theplateau
of theadsorption
isotherm(points
M and M" inFig.
1).
In order toFig.
2. - Initial stages ofkrypton adsorption
at 77 K onC6H12
pre-plated graphite.
(1), (2)
and(3)
correspond
toC6H12
coverages at M, M’ and M"points respectively
on the isotherm offigure
1.define the location of the
monolayer completion
thelow-coverage
isothermshape
ofkrypton
on
C6H12 pre-plated graphite
at 77 K was examined for severalpreadsorbed
amounts. Resultsare shown in
figure
2. Whengraphite
ispre-plated
withC6H12
amountscorresponding
toM’ and M"
points
infigure
1,
the linearHenry
law is observedduring
the initialstages
ofkrypton adsorption
(curves (2)
and(3),
Fig.
2).
For the lowest coverage considered(M
point),
theHenry
law is notobeyed.
These observations can beexplained by assuming
that theC6H12
monolayer
is notcomplete
atpoint
M.Consequently,
thegraphite
surfacepre-plated
with such aC6H12
coverage is not uniform withrespect
tokrypton adsorption.
Themonolayer
coverage was then set atpoint
M’,
in the middle of theplateau
between the twoisotherm
steps.
Curves shown in
figure
3 are obtainedby
introducing
krypton
at 77 K for isothermmeasurements on a
graphite
surfacepre-plated
at 233 K with aC6H12
monolayer.
Theadsorption
isotherm exhibits three verticalsteps
and an accident in the secondplateau.
Thedesorption
isotherm exhibitssteps
at the same pressures, but the two curves cannot besuperposed. Desorption plateaus
occur forhigher
adsorbed amounts, and the accidentobserved in the second
plateau
of theadsorption
isotherm does not appear on thedesorption
curve. The
irreversibility
may beassigned
to anout-of-equilibrium
state of the filmduring
krypton adsorption.
Such anassumption
is corroboratedby
kinetic observations :quite
along
time is necessary to reach the
equilibrium
pressure after admission ofkrypton
amountscorresponding
to the upperpart
of the isotherm firststep
(more
than onehour,
after each gasintroduction,
instead of less than 15 min for purekrypton
adsorption).
In order to increaseFig.
3. -Adsorption
anddesorption
isotherms ofkrypton
at 77 K ongraphite pre-plated
with aC6H12
monolayer. Krypton
introduction at 77 K(*) adsorption ;
(A) desorption. Krypton
introduction at 150 K :(0).
Dotted line :krypton
on baregraphite.
(JKr:
: fractional coverage ofkrypton
on barethe adsorbate
mobility,
thesample
was heated to 150 K before eachkrypton
introduction. The isotherm was measured at 77K,
and results are shown infigure
3. Thebinary
mixtureadsorption
is thenreversible, except
for the first isothermstep,
which will be discussed later.Moreover,
theadsorption
isotherm coincides with thedesorption
curve obtained afterintroducing krypton
at 77 K. The secondexperimental procedure
was thenadopted
and assumed toyield
anequilibrium
distribution of atoms on the surface. The accident observed in the isotherm secondplateau
whenintroducing krypton
at 77 K wasassigned
to a metastablestate of the film. Such a
temperature
effect hasalready
beenobserved,
andannealings
of thesample
arefrequently
carried out in order to reach thelayer
equilibrium
state inbinary
mixture
adsorption
studies[6-9].
4. Results and discussion.
4.1 ADSORPTION OF KRYPTON AT 77.3 K ON GRAPHITE PRE-PLATED WITH A
C6H12
MONO-LAYER. - The
krypton
adsorption
isotherm at 77.3 K obtained underequilibrium
conditions(krypton
introduction at 150K)
ongraphite pre-plated
with aC6H12
monolayer,
exhibits three verticalsteps.
Itscomparison
with theadsorption
isotherm of purekrypton
at the sametemperature
bears on two mainpoints :
step
pressures andstep
heights
(Fig. 3).
The first
step
pressure is two hundred timeshigher
than on baregraphite,
which indicates thatkrypton adsorption
isstrongly
hinderedby pre-adsorbed
C6H12,
whereas the second and thirdstep
pressure values are very close to those obtained forkrypton adsorption
on baregraphite.
Such a feature hasalready
been observed for the(krypton-SF6)/graphite
system
[5].
It was assumed to result from aSF6
filmdisplacement produced by krypton adsorption,
according
to a first order transition process. Thesimilarity
ofkrypton
isotherms on bare andSF6 pre-plated graphite
after the first verticalstep
wasassigned
tokrypton
growing
on itself. The sameinterpretation
can begiven
to our results.The
irreversibility
shownby
thekrypton desorption
curve in the firststep
range may beexplained by
the sameassumption :
as theC6H12 saturating
vapour pressure is very low at77 K
(about
10-15torr),
theexchanges
with thegas-phase
arenegligible.
Atleast,
part
of the 3DC6H12
crystallites
formedduring
adsorbedC6H12
displacement by krypton adsorption
cannot re-distillate to the 2D
phase,
even whenkrypton
is desorbed. Theshape
in the initialpart
of the isotherm would thenrepresent
theadsorptive properties
ofkrypton
on agraphite
surface
only partially pre-plated
withC6H12.
But the
similarity
betweenKr-SF6
and Kr-C6H12
couples
is not so close as far as we areconcerned about the
step
heights.
As a matter offact,
thekrypton adsorption
isotherm ongraphite pre-plated
with aSF6 monolayer
exhibits at 77.3 Ksteps
ofequal height,
83 % that of purekrypton
isothermsteps
[5].
The authorsassigned
this difference inheight
to 3DSF6
formedduring
the filmdisplacement,
andcovering
apart
of the surface which is nolonger
accessible to
krypton.
Thisassumption
cannot beapplied
to our case,owing
to thelarger
difference observed. The firststep
height
ofkrypton
isotherm at 77.3 K onC6H12 pre-plated
graphite
is 70 % that on baregraphite,
and those of the second and thirdsteps
only
50 %. If thenon-accessibility
tokrypton
of 30 % of the total uniform surface area in the firstlayer
range were
solely
attributed todisplaced
C6H12,
it wouldcorrespond
to athree-layer
thickfilm.
Thermodynamical
and structural studies of pureC6H12
adsorptive properties
have shown thatonly
onemonolayer
can be adsorbed at 77.3 K before 3D condensation[13,
21,
22].
Moreover,
athree-layer
thickness is notlarge enough
to berepresentative
of a 3Dphase.
This iswhy
ourexplanation
is that theC6H12
filmdisplacement by krypton
is notcomplete,
part
of the 2Dpreadsorbed
C6H12
remaining
on the surface. The mostprobable
reason for such athe isotherm
heights
of the second and thirdsteps
withrespect
to the first could beexplained
by assuming
that 2DC6H12
in solution withkrypton
in the first adsorbedlayer produces
repulsive
sites forkrypton adsorption
in the upperlayers, resulting
in a new decrease of the uniform surface accessible tokrypton.
4.2 INFLUENCE OF
C6H12
FRACTIONAL COVERAGE. -Krypton adsorption
isotherms attemperatures
near to 77 K ongraphite pre-plated
with0.1, 0.48,
0.7 and 0.77C6H12
monolayer
are shown infigure
4. Theonly
differences with the isotherm obtained on acomplete
C6H12
monolayer
lie in the firstlayer
range : the firststep separates
into twosub-steps,
whose relativeheights depend
onC6H12
coverage. Thehigher
theC6H12
coverage, the moredeveloped
the secondsub-step.
It is located at the same pressure as that of thekrypton
isotherm first
step
on acomplete
C6H12
monolayer
and isrepresentative
of the samephenomenon : displacement
of theC6H12
filmby krypton adsorption.
Fig.
4.- Krypton adsorption
isotherms onC6H12
pre-plated
graphite
(1) :
0.1C6H12
monolayer
77.3 K ;(2) :
0.48C6Hl2
monolayer
77 K ;(3) :
0.7C6HI2
monolayer
77.24 K ;(4) :
0.77C6H12
monolayer
77.37 K.(J Kr
= fractional coverage ofkrypton.
A detailed
representation
of the initialparts
of the isotherms isgiven
infigure
5. For 0.1 and 0.48C6H12
fractional coverages, astep
clearly
appears at the same pressure as that of purekrypton
isotherm firststep,
and can beassigned
topreliminary krypton adsorption
on thebare
part
of the surface. Theshape
of the curve obtained with 0.7monolayer
ofpre-adsorbed
C6H12
isprobably
the consequence of an increase of the surfaceheterogeneity
towardskrypton
withincreasing
C6H12
coverage. Inconclusion, krypton
is first adsorbed on the bareFig.
5.- Krypton adsorption
isotherms onC6HI2
pre-plated graphite.
Detailedrepresentation
of the firstsub-step.
(1)
0.1C6Hl2
monolayer
77.3 K.(2)
0.48C6H12
monolayer
77 K.(3)
0.7C6H12
monolayer
77.24 K. Dotted line :krypton
on baregraphite.
0 fractional coverage ofkrypton
on baregraphite.
However,
the commensurate-incommensurate transitionoccurring
near thecompletion
of a purekrypton monolayer
(B
point
inFig.
5)
does not appear for thecomposite
film,
evenwhen 0.1
C6H12
monolayer
ispre-adsorbed.
A similarstudy
of the(krypton-xenon)/graphite
system
has shown that forkrypton adsorption
on 0.1 xenonpre-adsorbed monolayer,
thecommensurate-incommensurate transition still appears and is moved towards
higher
press-ures
[4].
Thus we think that this transitionactually
does not occur for the(krypton-C6H12)/graphite
system.
Moreover,
as thekrypton
isotherm firstsubstep
pressure is that ofpure
krypton
commensurate 2D solidcondensation,
pre-plated
C6H12
probably
results in astabilization of
krypton
commensurate 2D solid. Such a stabilization of a commensuratephase by larger
molecules hasalready
been observed[4-8, 9]
inadsorption
studies ofcomposite
films when the twocomponents
of the film are miscible. This corroborates ourassumption concerning
thesolubility
ofC6H12
inkrypton.
It should also be noted that in the first
layer
range,krypton adsorption
isotherm on 0.7C6H12
layer pre-plated
graphite
is very similar inshape
tokrypton
desorption
isotherm on oneC6H12
layer pre-plated
graphite,
in accordance with theassumption
of apartially
irreversibledisplacement
ofC6H12
by krypton,
asproposed
inparagraph 4.1.
4.3. DEPENDENCE ON TEMPERATURE. -
Krypton adsorption
isotherms ongraphite
pre-plated
with oneC6H12
monolayer,
measured at71,
77.5 and 83K,
arereported
infigure
6. Thegeneral shapes
of isotherms are very similar at the threetemperatures
considered,
except
for the first
step,
which is nolonger
vertical at 83 K. The differentstep
pressures arereported
Fig.
6. -Krypton adsorption
isotherms ongraphite pre-plated
with aC6H12
monolayer.
(1)
71 K,(2)
77.5 K,(3)
83 K.8Kr
fractional coverage ofkrypton
on baregraphite.
Table II.
- Step
pressuresof krypton
isotherm steps on bare andmonolayer
C6H12
pre-plated
graphite. Pl, P2
andP3
are the pressuresof
thefirst,
second and thirdsteps
respectively.
with
Ai and Bi
taken in tableI,
where i is the number of thestep.
Ai
andB,
are taken from[16],
A2, A3, B2, B3
from our measurements.At the above
temperatures,
the second and thirdstep
pressure values are very similar onbare and
pre-plated graphite,
whereas the firststep
pressure is muchhigher
onpre-plated
Table III.
- Ai
andBi coefficients of
the relationsloglo
Pi
(torr) =- Ai
+ Bi
for
thefirst
T
three steps
of krypton adsorption
isotherms onmonolayer C6H12 pre-plated graphite.
i is the numberof
the step.with those for a pure
krypton
film(Tab. I)
corroborates the above observations : theadsorptive properties
ofkrypton
onC6H12
pre-plated graphite
differ from those on baregraphite mainly
in the firstlayer
range.In so far as the substrate
(graphite
+C6H12)
is not invariant withrespect
tokrypton
adsorption,
andpart
ofC6H12
isprobably
in solution withkrypton,
it seems hazardous toapply
to thecomposite
film the 2Dphase thermodynamical
relations established for pure adsorbed films. It should be noticed that the calculation of the isosteric heat ofadsorption,
according
to the relationleads to a lower value
(Qst
= 12.4 kJ.mole1)
than thatcorresponding
to purekrypton
adsorption
in the firstlayer
range(6st
= 16.5 kJ .mole -1
), as
hasalready
been observed forthe
(krypton-SF6)/graphite
system
[5].
As for this lastsystem,
the difference can bemainly
assigned
to thedisplacement
of thepreadsorbed layer.
It would be worthchecking
thevalidity
of theseQst
valuesby
means of calorimetric measurements.Unfortunately,
this ispresently
impossible,
due to technical reasons.5. Conclusion.
From these
results,
a mechanism can beproposed
for thecomposite
filmorganization,
whenkrypton
is adsorbed on a(0001)
graphite
surfacepre-plated
with aC6H12
monolayer.,
A schematicdrawing
of its successivestages
ispresented
infigure
7. The initialstage
(OA
part
of theisotherm)
would be 2Dkrypton
gasadsorption
on theC6H12
monolayer. Krypton
adsorption
on thegraphite
surface itself wouldonly begin
in the curved ABpart
of theisotherm,
with apossible compression
of theC6H12
film.Displacement
of 2DC6H12
would occuraccording
to a first orderphase
transition process,represented by
the vertical BCpart
of the isotherm first
step.
The twocoexisting
2D solidphases
would be thecompressed
C6H12
film,
and aC6H12-Kr
solution rich inkrypton,
whose extent would increase withincreasing krypton
coverage, while 2Dcompressed C6H12
would transform into 3Dcrystallites,
untilreaching
the firstlayer completion.
The second and third isothermsteps
would be
representative
ofkrypton adsorption
on itself.Concerning
the structure of thekrypton
richphase
in the firstmonolayer,
from theFig.
7. -Schematic
drawing
on thecomposite
filmorganisation.
(0)
krypton.
(O)
cyclohexane.
We intend to
verify
all theseassumptions by
a structural characterization of the(Kr-C6H12 )/graphite
system,
scattering techniques beginning
to beapplied
to thestudy
ofcomposite physisorbed
films[6-11].
The last
point
to be noticed concerns the number ofsteps
exhibitedby krypton adsorption
isotherms at 77 K onpre-plated graphite. Only
threesteps
can bedistinguished
forkrypton
adsorption
ongraphite pre-plated
with aC6H12
monolayer,
instead of five forkrypton
on baregraphite.
Such a decrease of thestep
number can beassigned
to the surfaceheterogeneity
produced by C6H12 pre-plating,
inagreement
with Price and Venables[23].
These authors have shown that the number of rare gas adsorbedlayers
on theclivage
faces ofgraphite
is verysensitive to the surface
uniformity
and cleanliness. ForC6H12
pre-coverages lower than about 0.5monolayer,
foursteps
are to be seen on thekrypton
isoterm,
which would indicate thatsurface
heterogeneity
decreases withdecreasing
C6H12
coverage.In
conclusion,
despite
itssaturating
vapour pressure, much lower than that ofSF6,
Acknowledgment.
The authors are
grateful
to Professor X. Duval forhelpful
discussions.References