201
X-RAY AND NEUTRON DIFFRACTION
Hiroshi
HASEGAWA and
Institute
Itaru
ANALYSES OF BARIUM SILICATE
YASUI
of Industrial Science, University of 7-22-l. Minato-ku, Tokyo 106, Japan
Roppongi
GLASS
Tokyo,
Neutron diffraction of BaO.2Si02 glass was measured by use of a pulsed spallation neutron source and a steady reactor. The structure of the glass has been analyzed by a pair function method on obtained RDFs. The informations concerning to glass former consisting of light atoms 0 and Si appear clearly in the ROF obtained from the neutron diffraction, complementary to the RDF obtained by X-ray diffraction. As a result, in this glass the Si04 tetrahedra form six-membered rings constructing strongly folded layers and Ba atoms are located in holes formed between the layers.
1. INTRODUCTION Silicate
l/B0
containing
mole
silicate
glasses
aperture
number
only
are
useful
strongly the
folded
that
has
the
elements.
for
neutron
information bution
in
are
rather
of of 0,
On the
This
Ba atoms Si,
other
(cross-sections about
function
(RDF).
a pulsed
Si
atoms
Further,
neutron
the
14,
56)
be obtained
not.
the
by glass
the is
0.4149,
0.525) radial
very
fact large from
cross-sections
a neutron at
on
structural
informations
high
ROF in a small
It this
studies
of
comparable
from data
a sharp
However,
this
the
a single
folded2.
explained
hides
high is
whether
a part
of
Ba = 0.5805,
diffraction
with
strongly
only
have
with
EaO.ZSiO2
silicate
partly
and
Si,
to
very
that Barium
a waveguide
or
and
elements
condition
in airI.
hand,
of
is
0,
leads
is
glass few
the
cool
crystal
structure
can the
source
other
diffraction
all
of
0 and
glass,
X-ray
Ba = 8,
hand,
crown
situation to
in to
On the
anions the
presents
glass
vitrifies allowed
phyllosilicate
silicate of
obtained.
factors
the
anhydrous of
also
this
been
etc.
viewpoint
contribution
(scattering
with
of
an optical
form
layer
the
layer
structure
information
the
in
and
ceramics, to
and
interest
40 mole%
crucible as
or glass
cation
of
0 to
in a Pt-Rh
one among silicates
divalent is
BaO from
is melted
and
the
distri-
Q available
radius
range.
2. EXPERIMENTAL 2.1.
Preparation
A mixture at
1500
allowed water.
of
C for to The
of reagent
the
20 minutes cool weight
in
air of
sample
grade and to the
the
of
8aCO3
the
and Si02
crucible
temperature
production
0022-3093/87/$03.50 0 Elsevier Science Publishers (North-Holland Physics Publishing Division)
was melted
was
agreed
B.V.
taken
out
100 deg.
above
with
theoretical
in from
a Pt-Rh
crucible
a furnace
Tg and
dipped value
and into within
0.5wt%, The
so the
produced
composition glass
diffraction.
was
The
of
the
glass
pulverized
density
was
and
of
this
used
considered as the
glass
to
sample
measured
be accurate for
with
X-ray
and
by Archimedean
1%.
neutron
method
was
3.60g/cm3. 2.2.
X-ray
The with
X-ray
diffraction
measurement
diffraction
profile
a MO target
was
and an output
and
the
condition
for
this
glass
of is
of
measurement
shown
in
obtained
60kV,
using
130mA. The
were
reported
a Rigaku
method
of
Denki
Rotaflex
monochromatization The
previously3.
RDF obtained
Fig.1.
3100.
L a
FIGURE 1 The RDF of BaO.ZSiO2 obtained from X-ray tion data
,’ 6
glass diffrac-
o.ou: : : : : : ’ 2
2.3.
Neutron
diffraction
The
neutron
diffraction
pulsed
spallation
performed (KEK).
the
of
neutron Since
the
Fukunaga4,
with
experiment, The
metal
cylinder
and
set The
Research white,beam
the
High in
the
Intensity National
of
HIT
have
method.
The
a 4.5 m incident
sample
with
in a vacuum latter
was
Reactor from
was
reactor
path
the is
in mn,
measure of
Japan
the
inner total
has
150:
height diameter
scattering
a diffractometer Atomic
monochromatized
that
are
30:
of
is
23:
by con-
In
13Oand
40 mm in
8 mm and
used
measured
3He counters. 50:
this
8Owere
a vanadium
length
40 mn,
intensities. installed
Energy to
water is
and
beam from
spectrometer
fifty 90:
with
Physics
by Watanabe
by pure
a was
(HIT)
proton
neutron
40 mn. The
and
both
High-Energy
cooled
is
former
A pulsed
diffracted
of
stuffed
by use in
target the
of
The
elsewhere
below.
beam
angles
0.025 to
performed (JRR-2)
the
at
thickness chamber
of
flight
counterbanks
powder
and
by use
spectrometer for
reported
given
a uranium
height
out
reactor.
scattering
been
beam
carried
steady
Laboratory
is
and
a
Total
description
neutron
were
and
source
pulsed
seven
used.
source
synchrotron
the
time-of-flight structed
measurements
a brief
KEK booster
10
8
measurements
details
only
generate
6
neutron
by use
a pulsed
to
4 radius(A)
Research with
at
the
Institute. a wave
length
Japan The 1A by
reflection The
with
reflected
than
25'
and
thickness reaches angular lated
through
measured
in a step The
with reactor,
higher D,,,
tions
Q/Q
than
Q,
this
a measurement
graphite. JRR-2
and
the
obtained formed
those
by the to
was
was
from
30-50
steady
steps
28-17.17.
divergence
metal
cylinder
The
diffracted
40 mm.
angular
method were
114°(Q=0.4-10.5A-1).
neutron
wave
the
less with
a
beam
was
0.5"to The
provides with
adopted
Z'and
signal
the
accumu-
in
data
from
the
a steady
momentum
a small
resolu-
quantum
beam monochromatized obtained
with
normalized in
diffraction
a beam
1A. However, higher
data The
shown has
is
reactor's
HIT.
reactor
that
a little
steady
are
source
than
length
were
with
RDFs as shown
s,
A-I
we combined
reactor
a vanadium
length
angle
with
counts.
where
obtained
diffraction
A step-scanning
750
a pulsed
the
the
collimator
in
2'0=4"to
measurement with
steady
sample
40'-collimator.
i.e.,
Therefore, and
at
an open
12 mm and
time
with
= 12.5A-1 in
by
was 5 - 8x104
measurement
much
pyrographite
diameter
counting
range
of
collimated a powder
mm,
a counter fixed
plane is
illuminates
0.25
where
HIT
(002) beam
Fig.2(a),
which
low
resolution.
somewhat
the
intensity
range
by pyro-
diffractometer S(Q)s
indicates S(Q)s
in
obtained that were
by S(D)
trans-
in Fig.?(b).
1.5-
1.0.. FIGURE 2 The normalized intensities S(Q)s and RDFs of BaO.2SiO2 glass obtained from neutron diffraction data (a) the normalized intensities
. 5 ..
Q (4n/X-sine) I 5
10
15
radius(A)
20
25
30
S(Q)s ---
pulsed steady (b) RDFs pulsed --steady +pulsed
neutron reactor's
source source
neutron reactor's neutron
source source source
3.
THE STRUCTURES of BaSiBOS
with
is
the
a single
which
are
than
The
structure
by Douglass5 a1.7
Ba+B, of
form
these
of
and Hesse
and Hesse
consisting
of
to the
LiebauG.
six-membered
are
form,
sanbornite
known2.
SiO4
The
Ni+2
and Co'B,
no
crystal
have
been form
similar
layer
("zweier
has
two
form
has
high-temperature
tetrahedra
anhydrous
BaSi20S
high-temperature
sanbornite,
of
crystals
of
phyllosilicate
Mg+2, readily,
and
form,
and that
Those rings
anhydrous Cat2,
silicates
cations
LiebauG
form
cations
chain-type
low-temperature
and
and
silicates
Although
low-temperature
Fig.3).
et
among
cation.
silicates
polymorphs,
CRYSTALS
one
divalent
smaller
layer-type
BaSiBOS
only
(see
reported by Katcher
structures
single
layer"
in
-b I
FIGURE 3 Low-temperature form of BaSi205, sanbornite 7 (a) one tetrahedral layer projected parallel IO011 (b) the tetrahedral layers projected parallel [OTO)
the
nomenclature
layers.
The
degree the
of
fact
the
chain
ion
non-bridging
b-axis
and
and
the lies
a barium
the along
Liebau) of
folding
that
crystals,
of folding
is
are
layer
somewhere
in
between
considerably
oxygens point
Ba atoms
silicate
in
located both
that
of
larger the
up and down
the
athan
tetrahedra in
in
holes
crystals
is
and
the
despite In
ion.
up and
down
of
in
two
the
and
B-Na2SiBOS
a sodium
point
periodicity
between strong
the
both in
the
chain
along the
a-axis. rate
larger
form
the
in
than
thermal
high-temperature
six..In
in the
are
less
the
strongly
the
folded
-> high
form
the
latter
effective
form, the
those
in
symnetry
periodicity size
of
sanbornite,
tetrahedral
than
in a reduction
low
form
form,
Therefore,
results
during
this
low-temperature
vibration.
folding
4.
In
one
due
layers
to
in
broken
in
ions
is
increase
in
high-temperature
This
the
is barium the
the
in sanbornite. from
the
decrease
orthorhombic
in
to
layer
monoclinic
transformation2.
RESULTS The
peaks
which
other
practically.
X-ray
RDF and
RDF and
sharp
D pairs
and
(2.60A)
pairs.
D-D
pair,
RDF,
2.63A in
rable,
while of
position
the
RDFs
neutron
but
the
7.3A,
while
5.
STRUCTURE We have
Na20-, crystals
and
of
the crystals
such
a strongly
SiD4 At method shown
pairs
peak in weak in
neutron
shifted only
peak in
4.94A
two
peak
the
than
the
and
the
canpa-
greater
appeared
D-D
as an
are
times
Si-
and
In the
4.15A
a very
kinds
tetrahedron
and
the
mode
RDF for
the
some broadening calculated
disilicate These
the
in the
RDFs.
The
was recognized
same position.
with
of two
the pile crystals
parameters ROFs for
one
in
up of
is
the were
which both
there
it
is
the
layers
of
of
Si04
decrease
are
of
few
reports
Barium
disili-
interest
to
crystals
the
direction are
calculated increased
the
the
whether
or not.
similar
which
rings
with
cations.
and
glass
One
models. is
hand,
Li2D-,
corresponding
six-membered
divalent in
e.g.,
and
increases
above
presents
of
of
other
as described
glasses,
glasses
layers
On the
structure
two
The
of
glasses
ones
other
Fig.5.
O-D
reverse
consisting
folding
silicate
unique
the
in
several B,9.
cations.
and
the
seven
appeared
to
O-O pairs
to
the
X-ray
strong
pair.
and
at
the
(2.75A)
times
a Ba-0
third
peak
Ba-D
seven
appeared
5.3A and
of
the
strained
using
The
in
in
corresponds
of
Ba-0 of
are
above
structures
crystals
first
five
peaks
RDF a major
of
of
are
We constructed BaSi205
fifth
structures
monovalent
structures
about
intensities
layer-type
the about
of of
each
2.76A
shape
course,
about
peaks is
Li2D.K2D-disilicates
and a degree
cate
distance
of mixture
(at
AND DISCUSSION
the
tetrahedra radii
to
an D-O pair.
X-ray
ANALYSIS
have
is
2 correspond
peak
in a broad
contribution
and
relative
studied
K2D-
pair
and
second
peak,
a Ba-0
function
of
the
appear
first
the
in Fig.1 the
the
had details
in
RDF)
great
fourth
the
and
D-O pairs
so the
RDF scarcely
at
of
distance
RDF and
both
pair
number
ROFs
to
RDF,
the
the 1.60A
RDF. The
shifted
of
of at
corresponds
X-ray
pairs,
to
neutron
neutron
one
peak
the
Ba-0
the
neutron
the
strengths
both peak
second In
in
first
in
the
the
so this
the
that
appear The
structure
of
of
of
somewhat by a pair
with
atomic were
similar
bending different. function distance
as
to
each
other.
The
recognized
difference more
a sharp
peak
and
no peak
had
will
between
clearly
at
in
4.8A
where
at
4.2A
be attributed
to
the
the the
the
the
difference
of
crystals
the
showed
the
Ba-Ba
and
RDFs for
glass
RDF for
glass
for
the only
had
the
glass
crystals
was showed
small
shoulder,
a great
This
peak.
distances.
FIGURE 4 The RDFs calculated from the structures of BaSi2OS crystals ---low-temperature form .,.. high-temperature form BaO.ZSiO2 glass (observed)
L ,” N A
The
models
structed.
In
this
model,
as in
the
crystals.
tained and
the
RDF and
RDF for
where
the
RDFs for
X-ray
other
similar
parameters,
appropriate,
possibility Other
but
because value
due that
the
structures
symmetry
could
not
the
distances
a better of
model
direction
of
bending
so this
model
seems
of to
Si04
Fig.5
tetrahedra for
crystals Si04
angles
of
good
Ba-Ba
(model
of
agreement
We judged
of
might in
be suitable
bending
be found.
model
the
bending
showed
high
shown
of the
the
which
to relatively
kind
of
Varying a model
RDFs was searched
certain
to
pair
structure
that
A) was
tetrahedra the
Si04 with
this
tetrahedron the
observed
model
was
concentrate
symmetry,
con-
was main-
easily
although
not to
there
a is
be found. (model is
B) was
not
a model
examined.
so symmetric for
the
as the
In
this
model
above
model,
glass.
FIGURE 5 A structural model for BaO.2SiO2 glass tetrahedra: Si04 units 0: non-bridging oxygen atoms 8: barium ions
H. Hosegowo,
The not
calculated
obtained
In
this
model
This
means
that
of
RDFs
yet, Si04
that
the
this
I. Yosui / Ano!vs~s o/ hurium
are
shown
model
has
tetrahedra
the
layer
crystals
Fig.5.
Although
possibility
were structure
but
in
a strongly
to at
15"in
in
the
glass layer
207
sufficient
represent
bent
folded
silicore gloss
the
xy-plane is also
agreement glass
and
was
structure.
35'in
somewhat
different
presents
in the
yz-plane. from glass.
2500
FIGURE 6 The calculated RDF for the model B ---calculated for the model -observed (a) X-ray RDF (b) neutron RDF
0
2
4
6
B
B
radius(A)
ACKNOWLEDGEMENT We would University programs thank
like
to
thank
who helped for Dr.
the
M. Nishi
Tokyo,
who
helped
Energy
Research
Prof
us in
data in
treatment the
us in Institute.
. M. Misawa
neutron Institute
neutron
in
KEK and
diffraction and gave for diffraction
Dr. T. Fukunaga
measurement advice Solid
to
in
us. We would
State measurement
Physics, in
in Tohoku
KEK and also
provided like
University the
Japan
to of
Atomic
REFERENCES 1) M. Imaoka,
Glass
Handbook,
2) F. Liebau, Heidelberg,
Structural New York,
3) I.
H.Hasegawa
Yasui,
4) N. Watanabe,
T.
5) R. M. Douglass, 6) K.-F.
Hesse
7) H. Katscher, 8)
M. Imaoka,
9) N. Aoki,
and M.
Fukunaga
et
G. Bissert H.Hasegawa
al.
and and
et
Chem.
KENS Report
Berlin,
Glasses,
II
(1981)
539
153
(1980)
33
p.880
24
(1983)
65
517
Kristallogr.
I.Yasui,
(Asakura-Shoten.1975)
(Springer-Verlag,
Physics
F. Liebau,
I.Yasui,
al.
Silicates
43 (1958) 2.
and
Sakka
Imaoka,
Mineral.
F. Liebau,
H.Hasegawa
S.
Chemistry of Tokyo, 1985)
Amer. and
eds.
ibid.,
Physics
137 Chem.
Yogyo-Kyokai-Shi
(1973) Glasses 94
146 24
(1986)
(1983) 539
72