ARTICLE IN PRESS
S.G. Ebbinghaus et al. / Journal of Solid State Chemistry 180 (2007) 3393–3400
3395
(E1 wt%) was included in the calculations. The other two
samples were single phase.
found to be only slightly oblate and no significant
remaining scattering density near the c-axis was detected
in the difference Fourier map. It can therefore be
concluded that the Sr2+ ions only occupy the 6c site and
no disordered arrangement exists.
For all atoms except O2/O2a, refinement trials with
anisotropic displacement parameters were carried out. The
obtained ellipsoids for Ln (0, 0, 0.62) and Pt (0, 0, 0) were
found to be almost spherical for all three samples.
Therefore in the final runs these positions were refined
with isotropic displacement parameters. For O1 the
parameters b13 and b23 were fixed to 0 in order to reduce
the number of variables. This simplification was based on
the fact that neutron diffraction showed b13 and b23 to be
close to zero for the isostructural ruthenate and iridate.
For La1.2Sr2.7BO7.33 (B ¼ Ru, Ir) neutron diffraction
additionally revealed the oxygen atoms in the ½A02O1þdꢀ-
Ã
layer to occupy two positions (x, 1/2 x, 1/2) and (x, 0, 1/2),
with different occupation and distance to the c-axis. Due to
the small atomic form factor of oxygen, X-ray diffraction
cannot resolve such structural details. For the platinates
investigated here, we therefore assumed a toroidal electron
2
Ã
˚
Furthermore, b33 had to be fixed to 0.0012 A (the value
obtained from neutron diffraction data of the Ru and Ir
analogs) to avoid negative values in the case of Ln ¼ Nd.
density formed by equal amounts of oxygens on (x, 1/2 x,
Ã
1/2) and (Cos 30 x, 0, 1/2). For both sizes the Biso was fixed
2
to 1.0 A .
˚
¯
These initial calculations assuming space group R 3 m
Fig. 2 shows the Rietveld plot for La2Sr2PtO7+d with a
magnification of the angular range 901p2yp1501 as inset.
Results of the final structure refinement are listed in Tables
1 and 2. As an example Fig. 3 shows a part of the structure
of Pr2Sr2PtO7+d with displacement parameters given at the
80% confidence level.
resulted in extremely elongated displacement ellipsoids
for O1. For this reason, additional refinements in the less
¯
symmetric space group R 3 (No. 148) were performed. The
missing symmetry element (.m) allows to shift O1 from
(x, x/2, z) to (x, y, z) while keeping the cationic framework
¯
unchanged. Since in R 3 the bij values for O1 have no
The cell parameters of the three title compounds are
depicted in Fig. 4. As expected, both the a and c axes
become shorter with decreasing ionic radius of the
lanthanide ion. A comparison with the cell parameters of
restrictions, in principle six anisotropic displacement
parameters need to be refined, which seems hopeless on
the basis of powder X-ray diffraction. Therefore, the O1
atom was refined isotropically. In spite of the fewer free
˚
˚
La1.2Sr2.7RuO7.33 (a ¼ 5.753(1) A, c ¼ 18.351(3) A) and
˚
˚
¯
variables compared to the (anisotropic) model in R 3 m,
La1.2Sr2.7IrO7.33, (a ¼ 5.771(1) A, c ¼ 18.348(3) A) shows
that the a axes are of similar lengths while the c axes of the
platinates are significantly shorter.
identical or even slightly smaller residual parameters were
achieved. The estimated standard deviations (esds) for the
fractional coordinates of O1 were rather small, showing
that the atomic positions are well defined. In addition, the
¯
The lower symmetry of space group R 3 compared to
¯
R 3 m preserves the local 3 (D3d) point symmetry of the
¯
˚
obtained Biso values are in the order of 0.5–1 A, which is
reasonable for oxygen. For these reasons we conclude that
the structural model in R3 is to be preferred over the one in
platinum ions but strongly changes the coordination
¯
geometry of the lanthanide ions. In R 3 m the Ln cations
within one AO3 layer are surrounded by six equivalent O1
˚
ions at a distance of roughly 2.9 A. In R 3, on the other
¯
the higher symmetric space group R 3 m.
¯
Attempts to refine a mixed occupation of Ln/Sr on the
two A cation sites led to occupation factors close to 1 and
0, respectively, for Ln ¼ Pr and Nd, indicating a complete
cationic ordering. In the case of La, on the other hand, we
found a significant disorder with 8.5% of the Ln3+ position
occupied by Sr2+ and vice versa. The reason for this
structural difference between the three compounds may
result from the different sizes of the rare-earth cations.
Assuming a nine-fold oxygen coordination, the ionic radii
hand, the six oxygens split into two sets of three ions each
˚
with bond lengths of E2.5 and E3.3 A, respectively. For
Ln ¼ La, Pr, and Nd the shorter Ln–O1 distance decreases
6000
Observed
Calculated
75
Difference
Bragg
4000
positions
3+
according to Shannon [18] are La3+: 1.216 A, Pr
:
the radius is
˚
3+
1.179 A, and Nd : 1.163 A, while for Sr
2+
0
˚
˚
3+
˚
1.31 A. It therefore seems likely that only La
is large
2000
enough to allow a (partial) mixing with the strontium ions,
while the other two rare earths are too small. In this
context it is worth mentioning that also in La1.2Sr2.7BO7.33
(B ¼ Ru, Ir) a mixed La/Sr occupation was observed for
the La1 site.
-75
100
120
140
0
Earlier Rietveld refinements of La1.2Sr2.7BO7.33 (B ¼ Ru,
Ir) gave hints for a split model with parts of the Sr2 ions
located on (0, 0, z) and parts on a three-fold position close
to the c-axis. For the platinates studied in this work, on the
other hand, the displacements ellipsoids of the Sr2 site were
20
40
60
80
[°]
100
120
140
2
θ
Fig. 2. XRD Rietveld refinement plot for La2Sr2PtO7+d. The inset shows
a zoom of the angular range 901p2yp1501.