222
Journal of Non-Crystalline Solids 117/118 (1990) 222-225 North-Holland
SIMULTANEOUS CRYSTALLIZATION OF BOTH ELEMENTS IN AMORPHOUS GE-SB AND GE-AL EUTECTIC ALLOYS Toshio OKABE, Sakaru ENDO and Shigeru SAITO Department of Physics, Toyama U n i v e r s i t y , Toyama 930, Japan Electron microscopic i n v e s t i g a t i o n s have been c a r r i e d out on the e a r l y stages of c r y s t a l l i z a t i o n of amorphous e u t e c t i c Ge-Sb and Ge-AI a l l o y s with no intermediate compound. The Ge-Sb and Ge-AI f i l m s , prepared by vacuum coevaporation on the substrates at room temperature, are amorphous f o r Ge concentrations l a r g e r than 0.I and 0,5, r e s p e c t i v e l y , The c r y s t a l l i z a t i o n of these f i l m s are characterized by simultaneous formation of both c o n s t i t u e n t s in t h e i r c r y s t a l l i n e forms, adjacent each other with s p e c i f i c o r i e n t a t i o n r e l a t i o n s h i p s : (246)Ge / / (O03)Sb and [032]Ge / / [ l l O ] S b f o r Ge-Sb, and ( l l l ) G e / / (224)AI and [121]Ge / / [ITO]AI f o r Ge-AI, The c r y s t a l l i z a t i o n temperature decreases monotoneously with increasing Sb or A1 content, and is well f i t t e d to 2/3 values of the l i q u i d u s temperature in Kelvin in the case of Ge-Sb, I,
INTRODUCTION
of Ge-Sb and Ge-AI a l l o y systems, in which con-
Researches on what would happen in a system
s t i t u e n t s have considerably d i f f e r e n t melting
in which the two components cannot form a s o l i d
points, by using high r e s o l u t i o n electron micro-
s o l u t i o n when r a p i d l y quenched from the l i q u i d
scopy (HREM),
state led to a f i n d i n g of the nonequilibrium
o p e r a t i v e motion of c o n s t i t u e n t s during phase
c r y s t a l l i n e phase in Ag-Ge a l l o y system I and
separation over a wide composition range,
the f i r s t system, 2'3 solubility
In p a r t i c u l a r we wish to f i n d co-
m e t a l l i c glass in Au-Si a l l o y In these a l l o y s complete s o l i d
2, Experimental
is precluded because of d i s s i m i l a r
crystal structures,
The e q u i l i b r i u m phase d i a -
Amorphous f i l m s were prepared by vacuum coevaporation of the c o n s t i t u e n t s from two sources
grams of the a l l o y s are the e u t e c t i c type with
onto mica substrates previously and afterward
a small s o l u b i l i t y of germanium or s i l i c o n e in
coverd with carbon f i l m s .
noble metal and n e g l i g i b l e s o l u b i l i t y
arrangement such t h a t two tungsten boats were
of noble
metal in germanium or s i l i c o n e ,
By the geometrical
separated by 8 cm and the substrates were placed
Ge-AI and Ge-Sb a l l o y s belong to the same
at 12 cm above the boats, a number of t h i n f i l m s
a l l o y system whose e q u i l i b r i u m phase diagram
with d i f f e r e n t composition were prepared at a
is of the e u t e c t i c type with no i n t e r m i d i a t e
time in a vacuum system evacuated to < 1 xlO-4
compound and the metastable c r y s t a l l i n e phase
and maintained at < 7 x 10-4 Pa, on monitouring
is formed by rapid s o l i d i f i c a t i o n , 4'5
t h e i r thickness by three c r y s t a l o s c i l l a t i n g
While
t h e i r amorphous t h i n f i l m s are e a s i l y prepared
microbalances,
over a wide composition range by vacuum evapo-
tes were held at or near room temperature,
r a t i o n or s p u t t e r i n g ,
f i l m s were about 30 nm t h i c k ,
Recently the c r y s t a l l i -
During deposition, the substraThe
sandwiched with
zation process of amorphous AI-Ge a l l o y t h i n
carbon layers of about 7 nm t h i c k on both sides.
f i l m s is characterized by the phase separation
The f i l m s were w e t - s t r i p p e d from the substrates
and the growth of colonies t h a t contain both
and mounted on molybdenum electron microscope
constituents in t h e i r c r y s t a l l i n e form, 6
grids.
I t is
Carbon f i l m s were used to p r o t e c t the
the o b j e c t i v e of t h i s paper to show what would
amorphous a l l o y s from the i m p u r i t y contamination
happen on the e a r l y stages of c r y s t a l l i z a t i o n
during the observation made in the hot stage of
0022-3093/90/$03.50 (~) Elsevier Science Publishers B.V. (North-Holland)
T. Okabe et al. / CrystaJlization of both elements in amorphous Ge-Sb and Ge-AI
223
an e l e c t r o n microscope. The composition of the f i l m s was determined by energy d i s p e r s i v e x - r a y a n a l y s i s w i t h an ORTEC EEDS-II system attached to the e l e c t r o n microscope.
The f i l m s were heated up u n t i l
beginning o f the c r y s t a l l i z a t i o n nized by " i n s i t u "
the
could be recog-
o b s e r v a t i o n in the e l e c t r o n
microscope using heating stage and cooled q u i c k l y down t o room temperature f o r the successive high r e s o l u t i o n e l e c t r o n microscopy.
High r e s o -
l u t i o n e l e c t r o n micrographs were taken using a I0 nm- I
r a d i u s o b j e c t i v e a p e r t u r e under a x i a l
illumination
w i t h a JEM-2OOCX e l e c t r o n microscope
equipped w i t h a high r e s o l u t i o n s i d e e n t r y g o n i o meter stage and an o b j e c t i v e lens w i t h C : 1.9 s mm, operated at 200 kV. 3. Results and Discussion 3.1. HREM of e a r l y stages of c r y s t a l l i z a t i o n Transmission e l e c t r o n micrographs f o r the asdeposited f i l m s show a homogeneous and f e a t u r e less s t r u c t u r e on a m i c r o s c o p i c scale and the corresponding d i f f r a c t i o n halo-type, typical
p a t t e r n s are broad,
of amorphous s t r u c t u r e ,
with
Ge c o n c e n t r a t i o n s l a r g e r than 0. I and 0.5 f o r Ge-Sb and Ge-AI, r e s p e c t i v e l y .
On heating in
FIGURE 1 HREM image o f the c r y s t a l l i t e s of Ge and Sb nuc l e a t e d a d j a c e n t each o t h e r in the amorphous m a t r i x of GexSbl_ x w i t h x = 0.5.
the heating stage o f e l e c t r o n microscope, the Ge-Sb f i l m s show the c r y s t a l l i z a t i o n
taking
formed a d j a c e n t to a Ge c r y s t a l l i t e .
Owing to
place by homogeneous n u c l e a t i o n and growth p r o c -
the l i m i t a t i o n
ess w i t h a numerous n u c l e a t i o n s i t e s .
microscope, only the (003), the (011) and the
While the
o f r e s o l u t i o n o f the e l e c t r o n
Ge-AI f i l m s show a few nucleated c r y s t a l l i t e s
(102) l a t t i c e
growing r a p i d l y w i t h c r y s t a l l i t e s
0.35 and 0.31 nm, r e s p e c t i v e l y ,
ing in new s i t e s .
s c a r c e l y form-
By the e l e c t r o n d i f f r a c t i o n ,
planes o f Sb w i t h spacings o f 0.38, and the ( I I I )
plane of Ge can be analyzed on the micrographs.
i t confirms t h a t two c o n s t i t u e n t s c r y s t a l l i z e
Measurements on the angle between the l a t t i c e
s i m u l t a n e o u s l y , a d j a c e n t each o t h e r ,
planes of Ge and Sb reveal t h a t the phase sepa-
in amorphous
m a t r i x in both cases o f Ge-Sb and Ge-AI. Figure 1 shows an example of HREM images of crystallites
formed in the amorphous m a t r i x in
the e a r l y stages of c r y s t a l l i z a t i o n films.
of Ge-Sb
The image are taken near the boundary
r a t i o n r e s u l t s in the growth of c o n s t i t u e n t crystallites
with specific orientations;
Figure 2 shows the l a t t i c e
image t h a t the
(III)
c o n s i s t s o f Ge and Sb p o l y c r y s t a l s .
a spacing of 0.23 nm make an angle 90 ° .
crystallites
w i t h s i z e s less than I0 nm are
and
(102)Sb making angles 15 ° . 35 ° , 45 ° and 72 ° .
between amorphous m a t r i x and a m a c r o c r y s t a l which Small Sb
(III)G e
and (O03)Sb making an angle 90 ° and ( l l l ) G e
plane o f Ge and the ( I I I )
plane o f A1 w i t h This
micrograph is one of the t h r o u g h - f o c a l s e r i e s
T. Okabe et al. / Crystallization of both elements in amorphous Ge-Sb and Ge-AI
224
[l~O]Ge / /
[I~O]A 1 f o r Ge-AI with the same plane
orientations.
I t is noteworthy, however, t h a t
the present c r y s t a l l i z a t i o n
is governed by the
cooperative motion of the c o n s t i t u e n t atoms, e x p e l l i n g m u t u a l l y to form the respective c r y s t allites
simultaneously, instead of the e p i t a x i a l
growth in which atoms are deposited on the l a t t i c e s t r u c t u r e of the substrate. 3.3. C r y s t a l l i z a t i o n temperatures Figure 3 shows the v a r i a t i o n of c r y s t a l l i z a t i o n temperature, as well as c r y s t a l l i t e s
formed
in amorphous matrix, versus composition f o r GeSb system.
Over a wide composition range, s i m u l
taneous c r y s t a l l i z a t i o n
of the both c o n s t i t u e n t s
has been recognized with decreasing the temperat u r e monotoneously with increasing Sb content. At considerably low temperature ~300°C, Ge can form c r y s t a l
lattices
in the a l l o y f i l m s with
high Sb content, as compared with pure Ge f i l m s . The r a t i o of the c r y s t a l l i z a t i o n FIGURE 2 HREM image of the c r y s t a l l i t e s of Ge and A1 nucleated one above another in the amorphous matrix of GexAll_ x with x = 0.78.
temperature
coo I -., 5
of images t h a t resolves the l a t t i c e The angles between the l a t t i c e
plane of AI.
planes, f r e q u e n t -
l y observed, are 20 ° , 35 °, 60 °, 75 °, 90 ° and
ot .
400
OI E
120 ° . 3.2. O r i e n t a t i o n r e l a t i o n s h i p s For the e x p l a n a t i o n of the angles between the observed planes, only a r e l a t i v e o r i e n t a t i o n between the c o n s t i t u e n t c r y s t a l l i t e s
C 0 .f..i
1.0 0.8
...,4
~@~OOoOOO0
is enough
O
•I
O0
O~
OO00
0.6
to assume in each case:
0.4
(246)Ge / / (O03)Sb and [032]Ge / / ( I I I ) G e / / (224)A 1 and [121]G e / /
[llO]sb for Ge-Sb, [ITO]A 1 f o r Ge-AI.
0.2
q.0 l
Ge
!
!
I
I
0.8 0.6 0.4 0.2 x, Atomic £roction Ge
0.00"0 Sb
From the standpoint of geometrical arrangement of atoms at the i n t e r f a c e s ,
these o r i e n t a t i o n s
may not be the best one, since the l a t t i c e mismatch is smaller f o r the cases with the a x i a l o r i e n t a t i o n s of rl21lGe / / [lO0]sb f o r Ge-Sb and
FIGURE 3 Compositional dependence of the c r y s t a l l i z a t i o n temperature of Ge-Sb system. Also i n d i c a t e d in the f i g u r e are the c r y s t a l l i n e phases: Ge (0) and Sb (A). The l e f t axis i n d i c a t e s the r a t i o of the c r y s t a l l i z a t i o n temperature to the l i q uidus temperature expressed in K e l v i n .
T. Okabe et al. / Crystallization of both elements in amorphous Ge-Sb and Ge-A1
t o the l i q u i d u s temperature expressed in degrees a b s o l u t e is also p l o t t e d in f i g u r e 3. the c r y s t a l l i z a t i o n
I t shows
temperatures are well f i t t e d
s h o r t - r a n g e o r d e r w i t h composition.
225
So as to
p r o v i d e a continuous change on the h i g h t o f the potential
barriers,
the d i s t r i b u t i o n
of bonds
to 2/3 values of the l i q u i d u s temperatures over
is expected t o be p u r l y s t a t i s t i c a l
a wide composition range.
is no preference f o r one kind of bond over ano-
S o - c a l l e d "two t h i r d s
and t h e r e
r u l e " is a well-known e m p i r i c a l r e l a t i o n f o r 7 supercooled l i q u i d s , polymers and i n o r g a n i c
t h e r , which i s in accord w i t h random network,
glasses. 8 where the glass t r a n s i t i o n
the d i s c o n t i n u o u s change, i n t e r p r e t e d by a chemi-
temperature
in c o n t r a s t t o the Ge-Te system I0 which shows
o r the m e l t i n g temperature is a p p r o x i m a t e l y two
cal preference f o r the Ge-Te bond over Ge-Ge o r
t h i r d s of the m e l t i n g temperature.
Te-Te bonds, in accord w i t h the 4-2 c o o r d i n a t i o n .
The same c o m p o s i t i o n a l dependence of the c r y s t allization
temperature is found in the case of
the Ge-AI system.
The amorphous f i l m GexAll_ x
w i t h x = 0.2 shows the simultaneous c r y s t a l l i z a t i o n at 500 °C. w h i l e the f i l m s w i t h x : 0.4 at 300 °C. Based on the Lindeman's i n t e r p r e t a t i o n melting,
on
the same argument has been a p p l i e d to
the glass t r a n s i t i o n . 9
In a glassy s t a t e at
low temperatures, each atom. l i k e e.g. in a c r y s tal.
stays at or near a p o t e n t i a l energy minimum.
As the temperature is r a i s e d , a p o i n t of glass transition
will
be reached where s u f f i c i e n t
thermal energy w i l l
become a v a i l a b l e t o a l l o w
atoms in p o t e n t i a l w e l l s to make t r a n s l a t i o n a l motions over the p o t e n t i a l Since the p o t e n t i a l
barriers.
b a r r i e r s depend on t h e i r
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l o c a l atomic arrangement, the monotonous change o f the c r y s t a l l i z a t i o n
temperature, observed in
8. S. Sakka and J.D. Mackenzie, J. Non-Cryst. Solids 6 (1971) 145.
the Ge-Sb and Ge-AI systems, suggests the c o n t i nuous change in chemical bonding and the r e s u l t a n t
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