Thermochimica Acta, 133 (1988) 299-304 Elsevier Science Publishers B.V., Amsterdam
INSITU
MEASUREMENTS
OF
LAYER
299
THICKNESS
DURING
OXIDATION
OF
TITANIUM
13. NEUER
Institut University
and
F.
fiir Kernenergetik
of
Stuttgart,
GUNTERT
und
Postfach
Energiesysteme
80
11
40,
(IKE)
G-7000
Stuttgart
80
ABSTRACT Thermal radiance measurements are described as a method well suited for insitu measurement of layer thickness during the oxidation of titanium at temperatures between 700 *C and 1000 *C. The results confirmed the parabolic function of the oxide growth with a constant C increasing up to 0.029 um21s with increasing oxidation temperature.
INTRODUCTION
The
thermal
strongly
dependent
oxidation the
radiation
has
metals
can
k)
stant
during
the oxide
be
both
calculated
the
the
the
of
metal
out
have
clearly
by
the
on
of
of
refraction
n and
and
the
oxide
process authors
demonstrated
the
related
to
be
layer
thickness.
These
results
are
By
means
a thin
are
steel
the
P~c.9thIcTRCongress,~e~~,fs~~~2I-2~
Q 1988 Blsevier Science Publishers B.V.
the on
the
and
con-
measuresamples variation
increase
encouraging
of
coeffi-
known
Emjttance
observed
of
film if
extinction
oxidizing
that
could
variation
thickness
film
( ref.1). on
roughness,
the
of
its
are
the
metals.
a function
emittance
Therm&An&sis
Amongst
reflectivity
spectral
~~3~/88/~3.50
surfaces
influence
emittance
oxidation
carried
metallic
topography.
as
(index
of
of
important
respectively
constants
cient
(ref.2)
their
most
electro-dynamic-theory
optical
ments,
on
the
reflectance
classic
properties
to
Aug. I988
of
of the
apply
radiation
measurement
thickness
during
are
to in situ
techniques
oxidation’processes.
measurements
In
principle
of
two
film
methods
possible:
a)
irradiation source
of (e.g.
reflected b)
at
the
the
of
aid
order
;ially
observe
developed uses
be
I
where
X is
both 0.5
the
KX
0.9
the
only
depends
and
the
Eq.(ll. the
aid
measured law
the
the
data 5
ratio
of
the
usually
oxidation
be
directly
measured
with
1 * expi-
pyrometer places
the
The the
T of
of
a thermocouple
direct using
the
a speci-
‘LinearpyroI . ph ” equation
photocurrent
therefore
Wien’s
(11 which
of
filter
interwheels
between
were
carriedout
(=
1,438O
are
spectral
at PmK)
to using
variables
technique
calculated the
from
Kirchoff’s the
which emittance
potential
independent
According ph’ is calculated
an
‘Linearpyrometer’, The
be
by
ranging
constant the
sample
can
given two
filters
measurements
an eX
is
equippedwith
radiation
the
I
p
by
This
whose
wavelength.
T using
photocurrent
the
applied
(ref.3).
such
described
chosen
measuring
reflectance
is for
factor
By
titanium
c2/AT),
second
temperature
on been
wavelength,
calibration on
has
evaluation:
six
is
growth
and
The
urn.
pm c2 is
which
detector,
radiance
effective
containing
X = 0.71 and
for
filter.
pm and
the
flux.
can
pyrometer photo
the
= KX(eX/X
ph
ference
spectral
to
used
oxide
technique
asilicon
proportional can
of
light
detector.
the
measurement
meter’
at
radiance
lineaf
a monochromatic
measurement
radiation
500°C,
spectrel
by
TECHNIQUE
to
radiance
and
incident above
a
surface
beam)
the
temperatures
occurs,
metallic
laser to
EXPERIMENTAL
In
the
relation
-
e.g.
the radiation
E*
in with
301 p=l-e
For
the
determination
reflectance
of
values
culated film
(21
as on
a
have
function
metal
Fig.
to
oxide be
to 2,
thickness,
compared
of layer
leads
reflectance,
the
with
thickness.
measured
those
As
interferences.
shows
the
which
indicated
Thereforethe
maxima
and
minima
out
samples
are in
cal-
Fig.
1 a
calculated
with
increasing
thickness.
RESULTS
AND
DISCUSSION
were
Measurements punched
out
pure).
The
certain the
from samples
flow
from
the
spectral
which
first
maximum
after
about
40
(dew (A
is a
the
metal
atmosphere
by
= -45’C).
990 is
the
100
K higher,
few
seconds
and
correspond
to
the
the
resulting
in
moderate.
At
reaches
second
maximum
first
shows,
and
emittance a
3
before
oxidation
extremely
a
gas
Fig.
0.5
begins,
K the
to
reached the
As
nearly
(99,86X
up was
switching
oxidation
At
mm diameter
temperature
Mm,) is
emittance
These
s.
inert
point
= 0.71
line
the
after
two
a
the appears
maxima
in
2.
The positions thicknesses ness
10).
of as
the
from
the
With
room
the
for
calculations.
the
of
5 X variation
of
For
and
n =
is the
is
ref.
varied position
the
The
2,53
and
the
k = 0,33
Fig.
between of
2.4 the
of
maxima
the
thick(ref.
values
values for as
2 whereby and
layer
literature
reported mean
emittance in
distinct
calculation from
5 all
resulting
plotted
marking
taken
measurements.
The
Ti02
minima
1.
exceptfon
thickness of
Tab.
were
t?‘tanium
layer
refraction
in
and
constants
temperature
for
oxide
maxima
given
optical
k = 3,5
f
air
emittance. of
an
stable
30
tantalum
initiated
eI
dashed
the
increase
temperature,
to
the
of
the
dry
emittance At
a
with
rolled
in
after
was
to
argon
a variation
on cold
heated
and
process
oxidation.
Fig.
were
temperature
oxidation
thus
carried
a 3 mm thick
2.6. and
result
n = 2,6 Ti02
a
and
were
function the
4
of
index
This minima.
used
of
leads
to
Because
a
302 Fig.
AIn
I:,
Model
of
the
behaviour on
olnw
of
radiation thin
films
metals
MErAL
0.4
-
TITANIUM N,K
0.5 0.2 _
0.0
Fia.
_ 6.6
2:
1 0.1
I 0.2
Spectral titanium,
Fia.
3: dizing
-
---.--- 2.6,S.S 2.53..33 2.6,J.S 2.40..33 ----2.11,3.5 2.60..33
al 0.1
TIOZ N,K
Spectral titanium different
I 0.3
I 0.4
BXiDE
CIYERTHlCKHESS
emittance
1 L 0.5-0.8
samples annealing
1 0.6
1 0.6
CjBil
eI(k
calculated
emittance
I 0.7
-
= 0.71
as
as
a function
= 0.71
E~(X a
Pm)
function
temperatures
of
a Ti02
film
of
layerthickness
-----
980
K
-
1090
Y
UV) Of
measured time
at
on
oxi-
on
303 all
other
the
positions
The
accuracy
tude,
optical
of
which
resolution
Tab.
minima
Max
the
I the
of
d as
2.
I
I
values
whereby
oxide
of the
of
growth
measured listed
Tab.
in
2:
constants e
=
the
x Tab.
Growth
-
2 for
EKI
=
C
(3)
by
magni-
1 X and
below
to the
the
maxima
eX
I
3.
Max
I
1 0.345
Iym
versus appear
the
the in
with
time
Fig.
3
at form
increasing
expected
According
parabolic
to
that,
the
thick-
- t. can
linear
for
the on
(3)
be
determined
from
regression.
investigated
Temperature T
the
method
increases
111.
Eq.
oxidized
Oxidation
is
is
curves
constants
titanium,
film
at
plotted
confirms
time
the
of
amplitude,
is
0.270
I
emittance
(ref.
C in
f(t)
changes the
proposed
2. Min
I
gradient
d=
The
Max
0.200
This
function
the
emittance
values
growth
the
a TiO2-layer
spectral
0.125
temperature.
function
of
thickness
extreme
of
of
urn.
1. Min
I
0.055
lines
oxidation
ness
reproducibility
of
the
straight
of
accuracy
0.01
only
refraction
the
around
remarkable
but
The
of
squares
cause
limiting
and
1.
not
values
of
thicknesses
I which
index
Calculated
I
The
do
‘extreme
thickness
is
1:
the the
is
oxide
measure
properties
of
The
oxidation
oxidation
of
temperatures.
cold
air
Growth c
Constant
[rm’/sl
x
990
c 0.05
1090
1.81
1190
20.4
1290
29.2
10’
the
results
rolfed
are
304 CONCLUSION
Radiance
measurements
thickness cally the
of
The
thin. index
of
constants the
are
oxide
layers
accuracy
in
for
in
range
is
refraction
of
especially
accuracy
suited
at
the
in
mainly the
high
Situ
the
influenced
oxide.
by
spectral
are
are
the of
to
the opti-
knowledge
needed
emittance
of
films
Measurements
temperatures
correlating
measurements
where
the
of
optical
to
improve
oxide
thick-
ness.
ACKNOWLEDGEMENT
The
described
work
meinschaft
was
financially
industrieller
supported
by
the
Forschungsvereinigungen
Arbeitsge-
e.V.,
AIF.
REFERENCES
O.S.
Heavens:
Optical
Butterworth
121
G.
Neuer,
(1985), /3/
B.
GUntert
in: and
and
B.
Thin
Solid
London
Warner:
Temperature,
Industry
1982,
Hass
of
Publications,
Films.
1955
Thermochimica
Acta
E
295-298
Wiirner,
York, G.
F. pp.
Science
Properties
Scientific
pp.
and
Its
Measurements
American
5,
and
Institute
of
Control
Physics,
in New
429-432
A.P.
Bradford:
J.
Opt.
Sot.
Am.
47
(1957),
pp.
125-129
1st
T.
161
P.B.
Smith:
J.
Johnson
Opt.
Sot.
and
Am.
62
R.W.Christy:
(1972),
pp.
Phys.
774-780
Rev.
89
(1974),
pp.
‘3056-5070 171
181
M.M.
Kirillova
15
(1963),
A.
Gagnaire,
and pp.
B.A.
Charikov:
J.
Joseph:
ClO,
191
G.
Hass:
Vacuum
2
(1952),
pp.
/IO/
T.
Tanaka:
Jpn.
J.
Appl.
Phys.
/II/
P .: Wiley
and
44
Journal
Colloque
Kofstad:
Phys.
Met.
Metallogr.
138-139
(1983),
High Sons
Inc.,
pp.
Temperature New
York,
de
Physique
(Paris),
195-198 331-345 18
(1979),
Oxidation London,
pp. of
1043-1047
Metals.
Sidney,
1966
John
(SU)