INTERACTION
OF NIOBIUM
WITH
ACTIVE
I. Adsorption
GASES
of Nitrogen
R. A. PASTERNAK
AT
VERY
LOW
PRESSURES*
by Niobium
and R. GIBSON?
The interaction of nitrogen with niobium filaments has been studied over wide ranges of pressure (6 x 10-O to 6 x 10-s torr) and of temperature (26 to 1SOO’C). At room temperature, the sticking probability on the clean surface is about 0.5, and adsorption leads to a saturated surface layer. At high temperatures, the sticking probability is about 0.1, independent of pressure and temperature, and the gas diffuses so fast into the bulk that the surface remains virtually clean for an extensive time interval. The dependence of the observed sorption No significant activation energy is required for adsorption. rates on temperature and pressure is discussed in terms of simultaneous adsorption on the surface and diffusion into the bulk. INTERACTION
DU
NIOBIUM
AVEC
DES
I. Absorption
GAZ
ACTIFS
AUX
TRES
FAIBLES
PRESSIONS
de l’azote par le Niobium
L’interaction de l’azote avec des filaments de niobium a Qte Btudiee dans une large gamme de pressions (6 x 10-O a 6 x 10e6 torr) et de temperatures (26 a 1800°C). A la temperature ambiante, la probabilite de captage sur la surface propre est environ 0,5, et l’adsorption conduit Q une couche superficielle saturee. Aux hautes temperatures, la probabilite de captage est environ O,l, independante de la pression et de la temperature, et le gas diffuse suffisamment vite dans la masse pour que la surface Aucune Bnergie d’activation significative n’est reste virtuellement propre pour une duree prolongbe. requise pour l’adsorption. Les auteurs discutent la dependence des vitesses de sorption observees envers la temperature et la pression sur la base del’adsorption sur la surface et de la diffusion simultanee dans la masse. DIE
WECHSELWIRKUNG
VON
NIOB
AKTIVEN
GASEN
BE1
SEHR
KLEINEN
DRUCKEN
Die Wechselwirkung van Stickstoff mit Niobdrahten wurde in einem grol3en Druck (6 x 10-O bis 6 x lo-” torr-und Temperaturbereich (25 bis 18OO’C) untersucht. Bei Raumtemperatur ist die Haftwahrscheinlichkeit auf der sauberen Oberfliiche etwa 0,5, und die Adsorption ftihrt zu einer gesiittigten Oberfliichenschicht. Bei hohen Temperaturen ist die Haftwahrscheinlichkeit etwa O,l, unabhiingig van Druck und Temperatur, und das Gas diffundiert so sohnell in das Innere, da13 die Oberfliiche liingere Zeit fast sauber bleibt. Fiir die Adsorption ist keine nennenswerte Aktivierungsenergie erforderlich. Die Temperatur- und Druckabhiingigkeit der beobaohteten Sorptionsgeschwindigkeiten wind diskutiert im Hinblick auf gleichzeitige Adsorption an der Oberfliiche und Diffusion in das Innere.
INTRODUCTION
The reaction of nitrogen, with metals is of considerable of corrosion
and embrittlement.
search on these systems
in this communication.
oxygen and hydrogen interest in the context The extensive
denum and tungsten, active
re-
gases;
Niobium, in contrast to molybhas a significant
thus the observed
solubility
effects involve
for both
surface and bulk mechanisms.
has in general been done at
such high pressures, that the observed
were
EXPERIMENTAL
Concept
dominated
by the reaction
compound
surface layers, and diffusion through these
The kinetics of gas sorption at very low pressure have
layers. Studies of the primary process between the gas and the metal atoms themselves which is of special
in general been investigated by the flash filament technique using constant flo~.(l-‘~) Since in that
fundamental interest require special low-pressure techniques and have been carried out mainly with re-
approach the pressure seen by the sample is not constant but depends on the sorption rate, wall and ion
fractory
between
kinetics
the gas and the
metals, primarily tungsten and molybdenum.
An ultrahigh vacuum investigation of niobium with different active gases is in progress. Some of the results for the nitrogen-niobium system are presented Received February 11, 1965; revised March 26, 1965. * This research has been supported in full by the U.S. Atomic Energy Commission, Fuels and Materials Development Branch, Division of Reactor Development, Contract AT(04-3)-115 Project Agreement 36. t Stanford Research Institute, Menlo Park, California. ACTA
METALLURGICA,
VOL.
13, OCTOBER
1965
gauge effects
are variable
and may thus introduce
ill-defined errors; moreover, the effect of the important parameter, pressure, cannot be investigated independently. A constant pressure technique which virtually eliminate these drawbacks (see also della Porta( has been developed based on automatic pressure control.02) Figure 1 is a schematic drawing of the system. Constant pressure is maintained in the sorption cell, V’S,by a Granville-Phillips control unit which compares 1031
ACTA
1032
~~TALL~R~I~A,
“r”
Experimental
t
FIG. 1. Schematic
t ION GAUGE CONTROL
drawing of constant
pressure system.
the pressure, p,, measured by an ion gauge, with a preset value. On imbalance, the drive mechanism for the controlled leak valve is activated, opening or closing it, until the desired pressure in the sorption cell is re-established. When the sample is activated, the only observable effect in the system is a change in pressure pz, and the rate of sorption R is
where F is the conduc~nee between the volumes V, and V,, and pZOis the steady state pressure corresponding to an inactive sample. For gas uptake, p, is larger, and for degassing, p, is smaller than pGO. The sticking probability (or pumping efficiency) S, which will be used here to present most of the kinetic data, is by definition R SE-.-..-= P(Pp, - P1,“) ps . 21. A p, . Y . A where v is the incidence rate of molecules on the unit area at unit pressure; and A is the sample area. The amount of gas, M, taken up or released by the sample in the time interval t, -+ t, is:
iw =
F
13,
1965
of this experimental approach and of sources of error will be given elsewhere. *
RECOUOER
COWlROlLER
VOL.
s12(p,
p,“) at
t1
Thus, measurement of the sorption or degassing rate and of total amount of gas sorbed or released is reduced to measuring the one pressure, p,, as function of time. Because the pressure-measuring device is outside the sorption cell, a mere change in its pumping speed does not affect the gas flow into the cell, since the servomechanism compensates for it. Low pressure flow techniques are in general suitable only for the measurement of high sticking probabilities. In the present study, the lowest value measurable is about S = 3 x 10-4, and the precision is this value or 5%, whichever is larger-A more detailed discussion
unit
The pumping system was an ion getter pump in combination with a titanium sublimation pump; the pumps were separated by a bakable metal valve from the main system. Two similar sorption cells, one in metal, the other in glass were used. The metal cell had a pin hole in a copper foil as conductance, with F = 0.060 litre Nzlsec (calculated from its dimensions); in the glass unit a capillary had the calculated conductance of F = 0.13 litre N,/sec. The niobium sample was spot welded to heavy electrical throughputs. The walls of the sorption cell were cooled with water or/and with air for reducing degassing by radiation heating from the sample.
Ribbons were cut from foils rolled from a zonemelted specimen supplied by the Metallurgy Department at Oak Ridge National Laboratory; ~on~minants, in ppm, were reported as follows: 0, : 9, N, : 5, Ha: 2, C : 38. The rolling operation, carried out under oil, might have increased the carbon, hydrogen, and oxygen content. Etching of the ribbons with a mixture of hydrofhroric and nitric aeids before mounting in the unit, and extended high temperature degassing at about 2OOO’C undoubtedly reduced the contaminant level again. Three ribbons were studied, Nos. 1 and 2 in the metal, No. 3 in the glass unit; they had dimensions of approximately 25 x 0.1 x 0.004 cm. One wire filament, diameter 0.02 and length 25 cm, (obtained from the same source) was also investigated. Contamination was quite high (0,: 1100, N,:3OO, H,:36, C: 210 ppm), but most of it was very likely removed during the high temperature heating in ultrahigh vacuum. The filament diameter varied by as much as loo/& and the sample broke after a limited number of experiments. The crystallographic orientation of samples similar to those used in the sorption studies was determined by X-rays. The filament sample showed preferred orientation along the [l lo] direction as expected for a body centered cubic metal. Two non-annealed ribbon samples were microcrystalline and exhibited on the surface mainly (100) planes. However, another ribbon sample which has been used in sorption studies and had undergone extensive exposure to nitrogen and to oxygen at higb temperature exhibited mainly (110) * Paper in preparation.
PASTERNAK
AND
GIBSON:
planes, and the individual crystallites were of the order The relative intensity data for these three ribbon samples as measured with an X-ray spectrometer are given in Table 1. This rolling and annealing texture is generally found for body centered cubic metals; the high degree of orientation is however rather surprising.
ofone millimeter.
TABLE
1. Relative intensities of X-ray reflections surface planes (ME) on rolled niobium foils
(h/cl)
-
Intensity
Random Orientation (literature) 110 211 200
from
100 32 20
Not Annealed (a) (b) 100 600 3300
100 1000 6000
Annealed 100 3 1
Gas Purified nitrogen from a lecture bottle (total impurity 50 ppm) was dried over liquid nitrogen and stored in a reservoir baked previously with the rest of the system. Temperature
measurements
The samples were heated by direct current supplied by lead batteries, and their resistance R was measured with a Kelvin Bridge. For the sample in the glass unit the brightness temperatures were determined with a micropyrometer; they were converted to true temperatures by correcting for absorption by the glass and for emissivity (Ed = 0.35). (i3) The filament temperature was uniform within +20” at all temperatures, to closer than 1 cm from the leads. The range of measurements was 900 to 2000°C. A parabolic temperature-versus-resistance-curve was drawn through the resistance values at high temperatures and the measured resistance at 25°C; this curve was used for all samples to convert resistance to temperature. Experimental
procedure
The pumps were first baked separately to about 300°C under continuous evacuation by an auxiliary pump; the system itself was then baked in ultrahigh vacuum at 300-350% for 15 hr. At most two bakeout cycles were required to reach a base pressure of 5 x lo-lo torr or lower. The sample required initially extensive and repeated heating to about 2000°C for the removal of surface layers and of gas dissolved in the bulk; the surface was considered to be clean when at room temperature initial sticking probability and saturation coverage for nitrogen approached constant values. Subsequently, the sample required only a one-second flash to
ADSORPTION
OF
N BY
Nb
1033
1OOO’C or higher for reactivation after exposure to nitrogen, and only a small gas burst was observed, since the absorbed gas dissolved in the metal during heating. Whenever a significant amount of nitrogen had been dissolved, the sample was degassed again at 1800-2000°C. For measuring sorption, two techniques were used; they gave approximately the same results: (1) steady state pressure was established first, and the sample activated by flashing (with the controller frozen during the short disturbance); (2) the sample was flashed in ultrahigh vacuum, and after it had cooled to the desired temperature, nitrogen was admitted and constant pressure established. In either method the control pressure was attained within 10 seconds after reactivating the pressure controller. The first method is more convenient, is faster, and is insensitive to wall effects. The second method permits a more reliable study of the early stage of sorption, since the sample cools down before sorption is initiated; about 20 see are required to reach a temperature of 1OO’Cafter high temperature flashing. RESULTS
In Fig. 2 typical sticking probability curves at p = 2 x 1O-6 torr and different tem~ratures are shown for sample No. 1. At room temperature the sticking probability S remains constant to about half coverage, and gas uptake ceases when about 7 x lo14 atoms/cm2 are adsorbed. Virtually identical room temperature curves were obtained with this sample at 6 x 10Ps and 6 x 10es torr, the initial sticking probabilities being 0.56 to 0.58. Constant sticking probability is established immediately, within the resolution of the experimental techniques. For example, at 6 x 1O-s torr the amount adsorbed before S stabilized is estimated at about 1% of the complete layer. The sticking probability drops also at higher temperatures with amount sorbed but approaches a finite quasi-steady state value; gas uptake continues beyond the amount equivalent to a monolayer (Fig. 2). The quasi steady state sticking probability increases and the initial sticking probability decreases with temperature; thus, the distinction between them disappears at high temperature, and S becomes insensitive to amount sorbed and to temperature. Sticking probability curves at 2 j< loss torr are shown in Fig. 3 for temperatures above 170°C; S is plotted here versus time. (At such high pressure, the sticking probability curve at room temperature cannot be observed since a monolayer is formed in a fraction of a second.) S drops again rapidly wit.h time to
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METALLURGICA,
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0
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I 6
M (atams/cm2)
VOL.
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Y 8
IO
12
X lOI
FIG. 2. Sticking probability of nitrogen as function of amount sorbed and of temperature. p = 2 X 1O-8 torr. Sample 1.
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--
0.1
T>llOOT
0
60
120 180 240 300 340 420 480 540 600 TIME --SBC
Fra. 3. Sticking probability of nitrogen a8 function of time and temperature. p = 2.4 x 10e6 torr. Sample 1. Amounts sorbed at end of ruu~~ III IV II I C&V0 Atom&me x 1O-16 0.7 1.5 4 11
approach a quasi steady state value which increases with temperature; at the higher temperatures S is, as at low pressure, approximately independent of time (or alternatively, of amount sorbed) and of temperature. Sticking probability curves similar to those illustrated by Figs. 2 and 3 were obtained at pressures between 6 x 1O-e and 6 x 1O-s torr. The results are summarized in Fig. 4. The initial sticking probabilities at lower temperatures, indicated by the dotted lines, are observable only at the three lower pressures; they are independent of pressure, but decrease with temperature. The quasi steady state sticking probabilities are shown by the solid lines; they increase with temperature to reach the same, approximately constant value of 0.07 to 0.09 independent of pressure and temperature. The range of constancy moves, however, to higher temperatures with increasing pressure; this is a consequence of the more general effect that the steady state sticking probabilities at the lower temperatures decreases with pressure. In this lower temperature range the sticking probabilities are not well reproducible and are too small to be measured with precision; thus a quantitative correlation is not possible on the basis of the present data. Finally, at the highest temperatures the sticking probabilities decrease again; the magnitude of this effect depends on how vigorously the sample has been degassed previously. In order to obtain information on the dependence of steady state surface coverage on temperature, some
PASTERNAK
GIBSON:
AND
ADSORPTION
OF
N
Nb
BY
1035
0.1
i
1
0.01
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
(d)
1
P s 2.4 x IO6 torr i
(b)
(4 I_
,
I
I
I
I
I
I
I
1
p - 6 x IO.’ torr
0.1
0.01
1
0
I
I
I
I
I
200
400
6W
800
1000
I ml
I
I
14M)
1600
I MW
0.01
0
200
400
TEMPERATURE-‘C
600
800
1000
room
1600 I800 RO 0151h30
1400
(f)
(c) Fm.
1200
TEMPERATURE-‘C
4. Sticking probability of nitrogen as function of temperature and pressure. Sample 1.
temperature
sticking
probability
curves
were
These curves constitute
direct evidence
that steady
recorded subsequent to exposure of the sample at different temperatures to nitrogen. The same room temperature sticking probability curves as the one in
state surface coverage increases with decreasing temperature, if one assumes that no large changes
Fig. 2 was obtained
The other samples studied exhibited properties very similar to those presented in detail for sample 1. Table 2 gives average initial sticking probabilities and
after the sample was heated for
short periods to any temperature in or above the range of constant sticking probability; this curve is undoubtedly characteristic for a clean surface. However, the initial sticking probability and the total amount sorbed at room temperature are lower when the sample has previously attained steady state at an intermediate temperature, as shown by curves I and II of Fig. 5.
occur during cooling.
amount sorbed at room temperature, and the approximately constant, high temperature sticking probabilities for all samples. The sticking probabilities and the room temperature coverage of ribbon 3 were systematically
lower
compared
to
the
other
two
1036
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,
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,
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0
Ij
0.5 -
Ill
0.001 0
M (atomr/cm*)
10
0
I
2
3
x IOf4
FIQ. 5. Sticking probability of nitrogen at elevated temperature and subsequently at room temperature. Sorption curves (b) we obtained immediately after curves (R). Sample 1. TABLE 2. Average
Sample Ribbon 1 Ribbon 2 Ribbon 3 Filament 4
sticking probabilities
Room ~rnpe~t~ S iJ$ x lOI* atoms/cm$ 0.57 0.5 0.4 0.25
7 : 6
and amounts sorbed High temperature S 0.09 0.09 0.06 0.08
ribbons. It is suspected that this discrepancy is due to experimental errors, since the samples were studied in different units. The filament shows the same sticking probability as the ribbons 1 and 2 at high temperature but a lower one at room temperature. This difference may be significant. DISCUSSION
The surface coverage at room ~mperature was found to be between 4 and 8 x 1O1*atoms/cm2. The spread of the data may be partly due to variation in crys~~ographic orientation and variation in surface roughness which was assumed throughout to be unity. The averclge amount adsorbed is of the same magnitude as found in the tungsten- and the molybdenumnitrogen systems (5 x IOlp atomsfcm2), but it does not seem justified to postulate, because of the spread in the data, a definite atom ratio for the adsorbateadsorbent complex. Similar un~ert~inities are undoubtedly present in most other ultrahigh vacuum studies of adsorption. The room ~mper&ture sticking prob~bi~ty curves for nitrogen on niobium are characterized by a high initial value of S, between 0.25 to 0.6 (see Table 2) and by approximate constancy of S to about half saturation (Fig. 2). The difference in S between filament and
ribbons appear to be significant and may be attributed to the different crystallogr&phic orientation. Constant high sticking probability is attained virtually instantaneously. In an ultrahigh vacuum study of the adsorption of nitrogen and of deuterium by evaporated films, no induction period was observed either.* Sticking probabilities initially increasing with time have, however, been reported for the adsorption of nitrogen on molybdenum. Similar sticking probability curves as reported here have been observed for nitrogen, oxygen, hydrogen, carbon monoxide on tungsten and on molybdenum;f1-10.15) and for oxygen on niobium.* The initial sticking probabilities were between about 0.1 and 0.7. However, an initial probability of less than 0.01 has been found for hydrogen on a clean platinum filament, and no nitrogen was adsorbed at a11.‘L6)Thus a wide spread in sticking probabilities exists; it has been suggested that high values are associated with large heats of adsorption, and low values with low heata. The independence on pressure of the initial sticking probability at all temperatures cIearly shows that the arrival rate of gas molecules on the clean surface is the ran-determining step. The constancy of S at room temperature to relatively high coverages is less understandable and has been the subject’ of speculations and of theoretical treatment,(l*) but no completely satisfactory q~iantitative explanation has been proposed so far. The high value close to unity of the initial sticking * Work to be published.
PASTERNAK
probability
at room temperature
significant
activation
constancy
energy
AND
excludes
for
GIBSON:
ADSORPTION
a priori
a
adsorption.
The is further indica-
of S at high temperatures
with tem-
perature which has also been reported for sorption nitrogen on tungsten(ls6) and on molybdenum(lO) be an entropy The
of
must
bulk diffusion.(le)
approximately
probability
at high
temperature
is
interval between consecutive
d/n,
would
minimize
crystallographic
effect may
effects
process itself.
atures, even only slightly
is approximately
below
for
three
be possibly
due to differences
in
However,
only with
at all temper-
of dnb
and
two
is given
pressures.
log dLa v = 10-a tom
10-e torr -0.6 3.2 4.5
higher than room temper-
The quantity nb decreases with pressure and increases
discussed
here in detail,
of absorption it must
will not be
be considered
for
the presented data.
The observed general dependence of the sticking probabilities (or sorption rates) on pressure, temperature, and the amount sorbed can be explained on the basis of two sequential rate processes, adsorption and diffusion into the bulk. The rate of adsorption depends on pressure and surface coverage; in addition
the rate of diffusion
to surface coverage,
The following
simple estimate
discuss the relative significance
on temper-
permits
of the two steps.
us to It is
that nitrogen dissolves without forming a The nitride may be stable at the lower
nitride phase.
and
however, nucleation
higher
pressures
of
this
study;
is very unlikely at the extremely
concentrations
and low temperatures.
For n,, much larger than unity, the
with temperature.
adsorbed gas moves into the bulk virtually as fast as it sequently
low nitrogen
The logarithm
0.4 4.2 5.5
227 727 1227
is adsorbed;
temperatures
(2)
equal to the average displace-
$2=
the mechanism
assumed
[-35,00O/RT]
temperatures
PC
Although
ature.
on a site is
a
ature, adsorption and absorption occur simultaneously.
depends,
adsorption
orientation.
The discussion so far has been concerned
explaining
energy for
the same for all samples (ignoring the
This temperature
the adsorption
1037
ment (expressed in lattice spacings) from the surface
due to a transition from localized to mobile adsorption, which
Nb
= 108.p-iexp
no =: .-
value for ribbon 3), whereas the room temperature activity of filament and ribbon were found to be different.
BY
The number of jumps nb in the time
in this time interval.
effect.
sticking
N
where AH D = 35,000 cal is the activation
tion that chemisorption of active gases on clean metals does not require significant activation energy. The decrease of the initial sticking probability
OF
a clean surface is maintained,
the sticking probability
and con-
remains at its con-
stant, high value. According to the data (tabulated above) this condition is satisfied at temperatures above
700°C for the pressures
of this study.
The
experimental temperatures
curves (Fig. 4) show that the transition to constant sticking probability increase with pressure as predicted; the experimental temperasomewhat higher than the tures are, however, calculated
ones.
In view of the crudeness of the esti-
mate, the over-all agreement is quite acceptable. If nb is not large, the diffusion process is not sufficiently fast to keep the surface clean, and to distribute the dissolved quasi-steady
gas uniformly
through the bulk.
At the
state the surface is now partly covered,
and as a consequence
the rate of sorption is diminished
relative to that on the clean surface; tion gradient
is established
also, a concentra-
in the bulk.
This con-
It is assumed further that no significant energy barrier exists for the movement of atoms across the surface-
centration gradient, and therefore the surface coverage, changes only slowly with time since very little gas is
Finally, only the case of very low bulk interface. concentration of gas in the bulk is considered so that
dissolved at the low pressures of the experiments. The steady state sorption rate at a given pressure
the degassing reaction can be disregarded. The number of hits per second per pair of surface sites
increases with temperature,
is approximately vn m lo6 p, where p is the pressure in torr, and the number of surface sites per cm2 is
ature is accompanied by higher sorption rates also; however, since the surface coverage is simultaneously
taken as 6 x 1014. For a sticking probability of 0.1 the number of molecules sorbed per second on an unoccupied site is then v, = lo5 . p. The jump fre-
augmented,
quency vb for diffusion in the bulk is approximately
controlled primarily by diffusion, and pressure has barely any effect; at high temperature, adsorption on the clean surface is rate-determining, and the sorption
rb =
V.
exp
[-AHDIRT]=
1013exp
[-35,00O/RT]
(1)
decreases.
since the surface coverage
An increase in pressure at a fixed temper-
the rate increases less than proportional to In the limit, at lower temperature, the pressure. surface is virtually completely covered; the rate is
rate is proportional
to pressure.
1038
The
ACTA
experimental
mechanism.
data
fit well
METALLURGICA,
this
postulated
The curves in Fig. 4 show the over-all
dependence
of the sticking
probabilities
on pressure
VOL.
13, 1965 ACKNOWLEDGMENT
Part of the experimental Mr. Bert Evans.
work was performed
The authors are greatly indebted
by to
and temperature as postulated. The approach to the quasi steady state is shown in Fig. 2 for low pressures, the decrease in sticking probability with amount
Dr. B. Bergsnov-Hansen for stimulating discussion and constructive criticism of the manuscript.
sorbed indicating
1. J. A. BECKER and C. D. HARTMAN, J. Phys. C?wm. 57, 153 (1953). 2. J. A. BECKER, Advances in CataZysis VII, 139 (1955). 3. G. EHRLICH, J. Phys. Chem. 60, 1388 (1956). 4. J. EISINGER, J. Chem. Phy8. 29, 1154 (1958). 5. T. W. HIOKMOTTand G. EERLICH, J. Phya. Chem. Solid8 5, 47 (1948). 6. P. KISLIUK, J. Chem. Phys. 50, 174 (1959). 7. P. L. JONES and B. A. PETHICA, Proc. Roy. Sot. A&%, 454 (1960). 8. T. W. HICKMOTT,J.Chem. Phys. S2, 810 (1960). 9. P. A. REDHEAD, Trans. Faraday Sot. 57, 641 (1961). 10. R. A. PASTERNAKand H. WIESENDANGER, J. Chem. Phy8. 84, 2062 (1961). 11. PAOLA DELLA PORTA and FRANCE RICCA, 1960 Transactions, Seventh National Vacuum Symposium, American Vacuum Society, pp. 352-363. 12. R. Gibson, B. Bergsnov-Hansen, N. ENDOW and R. A. PASTERNAK, 1963 Transactiona, Tenth Nation& Vacuum Sympokum, American Vacuum Society, pp. S&92. 13. J. R. COST and C. A. WERT, T and AM Report No. 205, University of Illinois, 1961. 14. D. LEE, H. TOMASCHKE, and D. ALPERT, Coordinated Science Laboratory Rep. l-104, University of Illinois (1961). 15. TAKEO OQURI, J. Phys. Sot. Japan 19, 77 (1964). 16. H. U. D. WIESENDANGER, J. Catalyti 2, 538-41 (1963). 17. G. EHRLICH, Structure and Proper&s of Thin Filma, John Wiley and Sons, Inc., 1959, p. 423. 18. P. KISLIKJK, J. Phys. Chem. Solids 2, 95 (1957); 5, 78 (1958). 19. R. W. POWERS and W. V. DOYLE, J. Appl. Phys. 80,514 (1959).
that the surface becomes
gradually
covered. A significant surface coverage at steady state, decreasing with temperature, is directly confirmcurves in Fig. 5. Finally,
ed by the sticking probability the sticking
probability
curves
at higher
pressures
(Fig. 3) represent the transient state, during which the surface becomes
partly covered and a concentration gradient is built up. Possibly a supersaturated solution or a subnitride is formed; the stoichiometric nitride Nb,N appears to be excluded,
since the sticking pro-
of nitrogen urably
to be
small as on a saturated
Nb
layer. The quasi steady state sorption here, drop in long-time
approached.
sorption
The observed
probability
at the highest
effect, since the solubility
temperature. absorption
The
and degassing,
of a second communication.
rates, as discussed
runs as saturation
decrease of nitrogen
of
is
of the sticking
temperatures
kinetics
in the nitrogen-niobium
. . . N surface
high
is due to this decreases
with
temperature
and the solution equilibrium
system
will be the subject
REFERENCES