Twinning and structure of Eu_0.6Sr_0.4MnO₃

The crystal structure of europium strontium manganese trioxide, Eu_0.6Sr_0.4MnO₃, has been refined using a multiply twinned single crystal containing six twin components. The MnO₆ octa­hedra show Jahn-Teller distortions with nearly fourfold symmetry, but the octa­hedral tilting scheme reduces the crystal symmetry to ortho­rhom­bic (space group Pbnm). The refinement of site occupancies and the analysis of difference Fourier maps show that the Eu³⁺ and Sr²⁺ cations occupy different crystallographic positions with eightfold and twelvefold coordination, respectively.

S1. Comment

The Ln_{1 - x}M_xMnO₃ manganites, where Ln is a trivalent rare earth element and M is a divalent element (Ca, Sr or Ba) are of interest because colossal magnetoresistance (CMR) has been observed for this class of compounds (Jonker & van Santen, 1950). Depending on the value of x and temperature, they display different crystal structures as well as different magnetic and transport properties. The physical properties of these compounds also depend on the rare earth element. The structural data on these compounds available in the literature are mainly obtained from powder diffraction data, and only a limited number of structure determinations and refinements are based on single-crystal diffraction data (Tamazyan et al., 2002). In this paper, we describe the results of a structural investigation based on single-crystal X-ray diffraction on twinned crystals of Eu_0.6Sr_0.4MnO₃.

The structures of the Ln_{1 - x}M_xMnO₃ compounds are distorted derivatives of the cubic perovskite structure type (a_c = 3.8 Å, space group Pm3m). Depending on the Ln and M elements, the x parameter and the temperature, rhombohedral, tetragonal, orthorhombic and monoclinic distortions have been observed (Dabrowski et al., 1999; Jirak et al., 2000; Urushibara et al., 1995; Cox et al., 2001). Symmetry elements of the m3m cubic point group which are not symmetry elements of the derivative structures become twinning operators. For Eu_0.6Sr_0.4MnO₃, we find that the symmetry is orthorhombic (space group Pbnm) with a 2^1/2a_c × 2^1/2a_c × 2a_c supercell of the cubic perovskite cell. Hence, six twin components can be expected. The results of refinements show that all six twin components are present in the sample, with the twin volume ratios given in Table 2. Structural distortions corresponding to the lowering of symmetry from cubic to orthorhombic are Jahn–Teller (JT) distortions of the MnO₆ octahedra and tiltings of these octahedra (Fig.1). In contrast to other orthorhombic distorted perovskite structures, where the JT distortions of MnO₆ correspond to three different lengths for Mn—O bonds, the JT distortions in this struture are almost tetragonal, with nearly equal Mn—O bond lengths [1.949 (1) Å for Mn—O1 and 1.949 (6) Å for Mn—O2A]. However, the MnO₆ octahedra tilting scheme reduces the symmetry to orthorhombic instead of tetragonal. A perspective view of the structure is shown in Fig. 1. In the ideal cubic perovskite structure, the Ln atoms are surrounded by 12 O atoms in a cuboctahedral coordination. Mismatch of Ln—O and Mn—O bond lengths causes tilting of the octahedra and deforms the cuboctahedron, making it suitable to accommodate smaller Ln cations. Their coordination numbers might be reduced from 12 to 7 depending on the Ln ionic radii. In Eu_0.6Sr_0.4MnO₃, the ionic radii of the Eu³⁺ and Sr²⁺ ions differ by a large amount. The smaller Eu³⁺ ions prefer sixfold or sevenfold coordination, while the larger Sr²⁺ ions prefer tenfold or twelvefold coordination. This is probably the reason why the Eu and Sr atoms do not occupy the same crystallographic position. The Eu³⁺ ions are shifted from the center of the distorted cuboctahedron, resulting in a reduced coordination number of 8 (Fig. 2 and Table 1). The Sr²⁺ ions have a small shift in a direction perpendicular to the mirror plane, but remain close to the center of twelvefold coordinated polyhedron. Their coordination numbers can be considered as 12, with two relatively long Sr—O distances (Fig. 2 and Table 1). The distance between the Eu and Sr positions is 0.307 (6) Å. It is assumed that the replacement of Eu³⁺ by Sr²⁺ transforms the same amount of Mn³⁺ into Mn⁴⁺. The calculation of bond valence sums (BVS; Brown & Altermatt, 1985) yields a value of 3.58 for the Mn site. This value differs from the expected value, 3.4, on ~5%. The BVS values for Eu³⁺ and Sr²⁺ are 2.46 and 2.98, respectively. Such a large deviation of BVS from the expected values shows that the coordination polyhedron around the Eu/Sr position is too large for Eu³⁺ and too small for Sr²⁺. Accordingly, an Eu/Sr ordering could be expected but was not detected. We believe that the observed splitting of of the Eu and Sr positions partially reduces local deformations caused by the difference in ionic radii. On the other hand, these local deformations may cause local stresses on the MnO₆ octahedra, which may play an essential role in determining the physical properties of this material.

S2. Experimental

A cylindrical rod of single-crystalline Eu_0.6Sr_0.4MnO₃ was grown by the floating zone technique with radiation heating (Mukovskii et al., 2001). Feed rods were prepared from Mn₃O₄, SrCO₃ and Eu₂O₃ powders, which were mixed in accordance with the desired metal composition Eu_0.6Sr_0.4Mn_1.0. The metal composition of the single-crystalline sample from same batch was determined by electron microprobe analysis. SrSO₄, MnTiO₃ and a glass containing 12 wt% of Eu₂O₃ (P&H Developments Ltd, England) were used as standards for Sr, Mn and Eu, respectively. The analytical result is in good agreement with the nominal metal composition Eu:Sr:Mn = 0.590 (7):0.406 (8):1.004 (8).

S3. Refinement

All reflections found by the SEARCH procedure of CAD-4 Software (Enraf–Nonius, 1988) were indexed in the pseudocubic eightfold 2a_c × 2a_c × 2a_c perovskite unit cell. The crystal quality was tested by rotation photographs along the three crystallographic directions of the related perovskite lattice and by performing ω scans on selected Bragg reflections. They showed splitting, hinting at possible twinning. The diffraction pattern indexed on the basis of the 2a_c × 2a_c × 2a_c unit cell may be interpreted as being a result of overlapping of diffraction patterns from three orthorhombic structures with 2^1/2a_c × 2^1/2a_c × 2a_c unit cells related to each other by the threefold symmetry axis of the pseudocubic unit cell. The axial mirror planes of the pseudocubic lattice may become twinning operators too, increasing the number of possible twin components to 6. The 2^1/2a_c × 2^1/2a_c × 2a_c orthorhombic unit cell has been observed for many Ln_{1 - x}M_xMnO₃ compounds. The space group Pbnm was used to describe the structures of these compounds. For the structure determination integrated intensity of Bragg reflections were collected in half a sphere of reciprocal space. The common symmetry of overlapped orthorhombic diffraction patterns determining the Laue symmetry is -1. Refinement confirms the six-component twin model described above. The following twin matrices have been applied to the Miller indices (hkl are multiplied from the left): M1 = (100/010/001), M2 = (010/100/001), M3 = (1/2 1/2 1/2 / 1/2 1/2 1/2 / 110), M4 = (1/2 1/2 1/2 / 1/2 1/2 1/2 / 110), M5 = (1/2 1/2 1/2 / 1/2 1/2 1/2 / 110), M6 = (1/2 1/2 1/2 / 1/2 1/2 1/2| 1 1 0). Initially, the same positional and displacement parameters were refined for both Eu and Sr, but difference Fourier maps showed that they do not occupy the same position (Fig. 3a). The refinement of separate positions reduced the R value from 0.048 to 0.040, and features in the difference Fourier map were considerably reduced as well (Fig. 3b). Because of large correlations, it was not possible to refine anisotropic displacement parameters for Sr. The relatively large isotropic displacement parameter of Sr is believed to reflect disorder (shift of Sr from mirror plane) giving rise to correlation between the y coordinate and the displacement parameter. The Eu/Sr ratio was refined by restraining the sum of occupancies of the Eu and Sr positions to 1. The refined values [0.589 (7) Eu + 0.411 (7) Sr] are in excellent agreement with the results of the microprobe analysis. The maximum and minimum values in the final electron density difference map were observed near the Eu/Sr positions at (0.04; 0.35)/4 and (0.06; 0.47)/4, respectively.

Computing details

Data collection: CAD-4 Software (Enraf–Nonius, 1988); cell refinement: CAD-4 Software; data reduction: HELENA (Spek, 1997); program(s) used to solve structure: JANA2000 (Petricek & Dusek, 2000); program(s) used to refine structure: JANA2000; molecular graphics: DIAMOND (Brandenburg, 1999); software used to prepare material for publication: JANA2000.

Figures

	Fig. 1. A perspective view of Eu0.6Sr04MnO3. Displacement ellipsoids are shown at the ?? probability level, and the splitting of Eu (green in the online version of the journal) and Sr (blue online) positions is shown.
	Fig. 2. The distorted cuboctahedral coordination of Eu and Sr.
	Fig. 3. (y, z) sections of difference Fourier maps. Contour lines are at intervals of 0.5 e Å^-3. (a) Structure model with one Eu/Sr position (filled circle). (b) Structure model with split Eu (filled circle, left) and Sr (filled circle, right) positions.

Europium strontium manganese trioxide

Crystal data

Eu0.59Sr0.41MnO4	F(000) = 407
Mr = 228.50	Dx = 6.700 Mg m^−3
Orthorhombic, Pbnm	Mo Kα radiation, λ = 0.71069 Å
Hall symbol: -P 2c 2ab	Cell parameters from 25 reflections
a = 5.429 (1) Å	θ = 18.7–23.1°
b = 5.443 (1) Å	µ = 31.12 mm^−1
c = 7.660 (2) Å	T = 293 K
V = 226.35 (8) Å^3	Prism, black
Z = 4	0.08 × 0.05 × 0.02 mm

Data collection

MACH3 diffractometer	Rint = 0.000
Graphite monochromator	θmax = 30.1°, θmin = 4.6°
ω/2θ scans	h = −7→7
Absorption correction: numerical (HABITUS; Herrendorf & Bärnighausen, 1997)	k = −7→7
Tmin = 0.150, Tmax = 0.603	l = −10→10
2578 measured reflections	3 standard reflections every 60 min
2578 independent reflections	intensity decay: none
1539 reflections with I > 3σ(I)

Refinement

Refinement on F	Weighting scheme based on measured s.u.'s w = 1/[σ^2(F) + 0.0001F^2]
Least-squares matrix: full	(Δ/σ)max = 0.0001
R[F > 3σ(F)] = 0.040	Δρmax = 2.05 e Å^−3
wR(F) = 0.044	Δρmin = −2.85 e Å^−3
S = 1.28	Extinction correction: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)
2574 reflections	Extinction coefficient: 0.0011 (2)
38 parameters

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Ų)

	x	y	z	Uiso*/Ueq	Occ. (<1)
Mn	0.5	0.5	0.5	0.0045 (2)
Eu	0.0074 (3)	0.4639 (4)	0.25	0.0029 (2)	0.589 (7)
Sr	0.0015 (13)	0.5165 (11)	0.2357 (8)	0.0162 (14)*	0.206 (3)
O1	0.4340 (12)	0.4907 (8)	0.75	0.018 (2)
O2	0.2782 (10)	0.2210 (11)	0.4659 (5)	0.0209 (17)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Mn	0.0038 (4)	0.0042 (4)	0.0054 (5)	−0.0003 (15)	−0.0001 (4)	−0.00026 (17)
Eu	0.0044 (3)	0.0020 (5)	0.0022 (2)	−0.0004 (6)	0	0
O1	0.024 (3)	0.020 (5)	0.010 (2)	0.0022 (15)	0	0
O2	0.015 (3)	0.024 (3)	0.024 (2)	−0.0080 (17)	−0.0040 (19)	0.000 (2)

Geometric parameters (Å, º)

Mn—O1	1.9489 (12)	Sr—O1^vii	2.713 (7)
Mn—O1^i	1.9489 (12)	Sr—O2	2.819 (8)
Mn—O2	1.954 (6)	Sr—O2^v	3.093 (8)
Mn—O2^i	1.954 (6)	Sr—O2^ii	2.405 (8)
Mn—O2^ii	1.949 (6)	Sr—O2^vi	2.892 (8)
Mn—O2^iii	1.949 (6)	Sr—O2^viii	2.722 (8)
Eu—Sr	0.307 (6)	Sr—O2^ix	2.250 (8)
Eu—Sr^iv	0.307 (6)	Sr—O2^x	2.935 (8)
Eu—O1^v	2.409 (7)	Sr—O2^iv	2.688 (8)
Eu—O1^i	3.043 (7)	O1—O2	2.756 (6)
Eu—O1^vi	2.504 (5)	O1—O2^i	2.765 (7)
Eu—O1^vii	2.998 (5)	O1—O2^ii	2.764 (6)
Eu—O2	2.578 (5)	O1—O2^iii	2.749 (7)
Eu—O2^ii	2.460 (5)	O1—O2^xi	2.749 (7)
Eu—O2^vi	2.701 (5)	O1—O2^xii	2.764 (6)
Eu—O2^viii	2.701 (5)	O1—O2^xiii	2.765 (7)
Eu—O2^ix	2.460 (5)	O1—O2^xiv	2.756 (6)
Eu—O2^iv	2.578 (5)	O2—O2^xv	2.739 (9)
Sr—Sr^iv	0.219 (8)	O2—O2^ii	2.739 (9)
Sr—O1^v	2.367 (10)	O2—O2^vi	2.782 (8)
Sr—O1^i	3.067 (10)	O2—O2^iii	2.782 (8)
Sr—O1^vi	2.784 (7)
O1—Mn—O1^i	180	Mn—O1—Eu^iii	89.87 (14)
O1—Mn—O2	89.8 (2)	Mn—O1—Eu^xvi	87.05 (13)
O1—Mn—O2^i	90.2 (2)	Mn—O1—Sr^v	103.3 (2)
O1—Mn—O2^ii	90.3 (2)	Mn—O1—Sr^i	81.5 (2)
O1—Mn—O2^iii	89.7 (2)	Mn—O1—Sr^iii	92.38 (18)
O2—Mn—O2^i	180	Mn—O1—Sr^xvi	89.30 (19)
O2—Mn—O2^ii	89.1 (2)	Mn—O1—Sr^xi	87.95 (18)
O2—Mn—O2^iii	90.9 (2)	Mn—O1—Sr^xvii	84.75 (18)
O1^v—Eu—O1^i	169.35 (16)	Mn—O1—Sr^xviii	98.0 (2)
O1^v—Eu—O1^vi	86.79 (19)	Mn—O1—Sr^xiii	77.4 (2)
O1^v—Eu—O1^vii	76.41 (17)	Mn^xiii—O1—Mn	158.6 (4)
O1^v—Eu—O2	128.35 (14)	Mn^xiii—O1—Eu^v	100.37 (19)
O1^v—Eu—O2^ii	114.29 (16)	Mn^xiii—O1—Eu^i	79.31 (19)
O1^v—Eu—O2^vi	65.20 (13)	Mn^xiii—O1—Eu^iii	89.87 (14)
O1^i—Eu—O1^vi	103.87 (18)	Mn^xiii—O1—Eu^xvi	87.05 (13)
O1^i—Eu—O1^vii	92.93 (16)	Mn^xiii—O1—Sr^v	98.0 (2)
O1^vi—Eu—O1^v	86.79 (19)	Mn^xiii—O1—Sr^i	77.4 (2)
O1^vi—Eu—O1^i	103.87 (18)	Mn^xiii—O1—Sr^iii	87.95 (18)
O1^vi—Eu—O1^vii	163.2 (2)	Mn^xiii—O1—Sr^xvi	84.75 (18)
O1^vii—Eu—O1^v	76.41 (17)	Mn^xiii—O1—Sr^xi	92.38 (18)
O1^i—Eu—O2	58.23 (14)	Mn^xiii—O1—Sr^xvii	89.30 (19)
O1^i—Eu—O2^ii	58.80 (14)	Mn^xiii—O1—Sr^xviii	103.3 (2)
O1^i—Eu—O2^vi	119.32 (12)	Mn^xiii—O1—Sr^xiii	81.5 (2)
O1^vi—Eu—O2	65.47 (17)	Eu^v—O1—Eu^i	169.3 (2)
O1^vi—Eu—O2^ii	129.59 (16)	Eu^v—O1—Eu^iii	105.1 (2)
O1^vi—Eu—O2^vi	63.80 (14)	Eu^v—O1—Eu^xvi	91.69 (17)
O1^vii—Eu—O2	125.72 (16)	Eu^i—O1—Eu^v	169.3 (2)
O1^vii—Eu—O2^ii	59.91 (16)	Eu^i—O1—Eu^iii	85.55 (18)
O1^vii—Eu—O2^vi	107.97 (15)	Eu^i—O1—Eu^xvi	77.65 (14)
O2—Eu—O2^ii	65.82 (19)	Eu^iii—O1—Eu^v	105.1 (2)
O2—Eu—O2^vi	63.55 (16)	Eu^iii—O1—Eu^i	85.55 (18)
O2—Eu—O2^viii	126.05 (19)	Eu^iii—O1—Eu^xvi	163.2 (3)
O2—Eu—O2^ix	116.97 (18)	Eu^xvi—O1—Eu^v	91.69 (17)
O2—Eu—O2^iv	79.86 (16)	Eu^xvi—O1—Eu^i	77.65 (14)
O2^ii—Eu—O2^vi	83.60 (16)	Eu^xvi—O1—Eu^iii	163.2 (3)
O2^ii—Eu—O2^viii	166.37 (19)	Sr^v—O1—Sr^i	175.07 (19)
O2^ii—Eu—O2^ix	84.52 (17)	Sr^v—O1—Sr^iii	96.6 (3)
O2^ii—Eu—O2^iv	116.97 (18)	Sr^v—O1—Sr^xvi	98.5 (3)
O2^vi—Eu—O2	63.55 (16)	Sr^v—O1—Sr^xi	96.8 (3)
O2^vi—Eu—O2^ii	83.60 (16)	Sr^v—O1—Sr^xvii	98.7 (3)
O2^vi—Eu—O2^viii	107.30 (17)	Sr^v—O1—Sr^xiii	178.4 (3)
O2^vi—Eu—O2^ix	166.37 (19)	Sr^i—O1—Sr^v	175.07 (19)
O2^vi—Eu—O2^iv	126.05 (19)	Sr^i—O1—Sr^iii	81.7 (2)
O2^viii—Eu—O2	126.05 (19)	Sr^i—O1—Sr^xvi	82.8 (2)
O2^viii—Eu—O2^ii	166.37 (19)	Sr^i—O1—Sr^xi	81.9 (2)
O2^viii—Eu—O2^vi	107.30 (17)	Sr^i—O1—Sr^xvii	83.0 (2)
O2^viii—Eu—O2^ix	83.60 (16)	Sr^i—O1—Sr^xviii	178.4 (3)
O2^viii—Eu—O2^iv	63.55 (16)	Sr^iii—O1—Sr^v	96.6 (3)
O2^ix—Eu—O2	116.97 (18)	Sr^iii—O1—Sr^i	81.7 (2)
O2^ix—Eu—O2^ii	84.52 (17)	Sr^iii—O1—Sr^xvi	164.0 (3)
O2^ix—Eu—O2^vi	166.37 (19)	Sr^iii—O1—Sr^xvii	164.7 (3)
O2^ix—Eu—O2^viii	83.60 (16)	Sr^iii—O1—Sr^xviii	96.8 (3)
O2^ix—Eu—O2^iv	65.82 (19)	Sr^iii—O1—Sr^xiii	81.9 (2)
O2^iv—Eu—O2	79.86 (16)	Sr^xvi—O1—Sr^v	98.5 (3)
O2^iv—Eu—O2^ii	116.97 (18)	Sr^xvi—O1—Sr^i	82.8 (2)
O2^iv—Eu—O2^vi	126.05 (19)	Sr^xvi—O1—Sr^iii	164.0 (3)
O2^iv—Eu—O2^viii	63.55 (16)	Sr^xvi—O1—Sr^xi	164.7 (3)
O2^iv—Eu—O2^ix	65.82 (19)	Sr^xvi—O1—Sr^xviii	98.7 (3)
O1^v—Sr—O1^i	175.1 (3)	Sr^xvi—O1—Sr^xiii	83.0 (2)
O1^v—Sr—O1^vi	81.5 (3)	Sr^xi—O1—Sr^v	96.8 (3)
O1^v—Sr—O1^vii	83.0 (3)	Sr^xi—O1—Sr^i	81.9 (2)
O1^i—Sr—O1^v	175.1 (3)	Sr^xi—O1—Sr^xvi	164.7 (3)
O1^i—Sr—O1^vi	96.8 (2)	Sr^xi—O1—Sr^xvii	164.0 (3)
O1^i—Sr—O1^vii	98.3 (3)	Sr^xi—O1—Sr^xviii	96.6 (3)
O1^vi—Sr—O1^v	81.5 (3)	Sr^xi—O1—Sr^xiii	81.7 (2)
O1^vi—Sr—O1^i	96.8 (2)	Sr^xvii—O1—Sr^v	98.7 (3)
O1^vi—Sr—O1^vii	164.0 (3)	Sr^xvii—O1—Sr^i	83.0 (2)
O1^vii—Sr—O1^i	98.3 (3)	Sr^xvii—O1—Sr^iii	164.7 (3)
O1^vii—Sr—O1^vi	164.0 (3)	Sr^xvii—O1—Sr^xi	164.0 (3)
O1^v—Sr—O2	119.7 (3)	Sr^xvii—O1—Sr^xviii	98.5 (3)
O1^v—Sr—O2^v	58.83 (18)	Sr^xvii—O1—Sr^xiii	82.8 (2)
O1^v—Sr—O2^ii	118.0 (3)	Sr^xviii—O1—Sr^i	178.4 (3)
O1^v—Sr—O2^vi	62.49 (19)	Sr^xviii—O1—Sr^iii	96.8 (3)
O1^v—Sr—O2^viii	65.4 (2)	Sr^xviii—O1—Sr^xvi	98.7 (3)
O1^v—Sr—O2^ix	124.8 (3)	Sr^xviii—O1—Sr^xi	96.6 (3)
O1^v—Sr—O2^x	61.52 (19)	Sr^xviii—O1—Sr^xvii	98.5 (3)
O1^v—Sr—O2^iv	125.2 (3)	Sr^xviii—O1—Sr^xiii	175.07 (19)
O1^i—Sr—O2	55.84 (17)	Sr^xiii—O1—Sr^v	178.4 (3)
O1^i—Sr—O2^v	118.0 (2)	Sr^xiii—O1—Sr^iii	81.9 (2)
O1^i—Sr—O2^ii	58.8 (2)	Sr^xiii—O1—Sr^xvi	83.0 (2)
O1^i—Sr—O2^vi	112.7 (2)	Sr^xiii—O1—Sr^xi	81.7 (2)
O1^i—Sr—O2^viii	117.8 (2)	Sr^xiii—O1—Sr^xvii	82.8 (2)
O1^i—Sr—O2^ix	59.9 (2)	Sr^xiii—O1—Sr^xviii	175.07 (19)
O1^i—Sr—O2^x	123.2 (2)	Mn—O2—Mn^xv	159.9 (3)
O1^i—Sr—O2^iv	56.97 (18)	Mn—O2—Eu	92.2 (2)
O1^vi—Sr—O2	58.75 (19)	Mn—O2—Eu^xv	103.9 (2)
O1^vi—Sr—O2^v	111.3 (2)	Mn—O2—Eu^iii	84.17 (17)
O1^vi—Sr—O2^ii	119.7 (3)	Mn—O2—Sr	88.2 (2)
O1^vi—Sr—O2^vi	58.06 (17)	Mn—O2—Sr^v	81.1 (2)
O1^vi—Sr—O2^viii	60.05 (18)	Mn—O2—Sr^xv	98.7 (3)
O1^vi—Sr—O2^ix	126.0 (3)	Mn—O2—Sr^iii	89.1 (2)
O1^vi—Sr—O2^x	116.2 (3)	Mn—O2—Sr^xi	89.6 (2)
O1^vi—Sr—O2^iv	60.3 (2)	Mn—O2—Sr^xix	98.6 (3)
O1^vii—Sr—O1^v	83.0 (3)	Mn—O2—Sr^xviii	81.2 (2)
O1^vii—Sr—O2	127.6 (3)	Mn—O2—Sr^iv	87.5 (2)
O1^vii—Sr—O2^v	56.41 (17)	Mn^xv—O2—Mn	159.9 (3)
O1^vii—Sr—O2^ii	65.1 (2)	Mn^xv—O2—Eu	87.72 (19)
O1^vii—Sr—O2^vi	110.7 (2)	Mn^xv—O2—Eu^xv	96.0 (2)
O1^vii—Sr—O2^viii	116.2 (3)	Mn^xv—O2—Eu^iii	91.08 (19)
O1^vii—Sr—O2^ix	67.0 (2)	Mn^xv—O2—Sr	91.3 (2)
O1^vii—Sr—O2^x	58.45 (18)	Mn^xv—O2—Sr^v	78.81 (19)
O1^vii—Sr—O2^iv	133.7 (3)	Mn^xv—O2—Sr^xv	101.4 (3)
O2—Sr—O2^v	93.6 (2)	Mn^xv—O2—Sr^iii	86.7 (2)
O2—Sr—O2^ii	62.6 (2)	Mn^xv—O2—Sr^xi	87.1 (2)
O2—Sr—O2^vi	58.28 (19)	Mn^xv—O2—Sr^xix	101.4 (3)
O2—Sr—O2^viii	116.2 (3)	Mn^xv—O2—Sr^xviii	78.8 (2)
O2—Sr—O2^ix	115.4 (3)	Mn^xv—O2—Sr^iv	90.7 (2)
O2—Sr—O2^x	173.4 (3)	Eu—O2—Eu^xv	97.47 (14)
O2—Sr—O2^iv	73.8 (2)	Eu—O2—Eu^iii	166.1 (2)
O2^v—Sr—O2	93.6 (2)	Eu^xv—O2—Eu	97.47 (14)
O2^v—Sr—O2^ii	59.2 (2)	Eu^xv—O2—Eu^iii	96.4 (2)
O2^v—Sr—O2^vi	54.34 (19)	Eu^iii—O2—Eu	166.1 (2)
O2^v—Sr—O2^viii	124.2 (3)	Eu^iii—O2—Eu^xv	96.4 (2)
O2^v—Sr—O2^ix	122.6 (3)	Sr—O2—Sr^v	86.4 (2)
O2^v—Sr—O2^x	92.4 (2)	Sr—O2—Sr^xv	94.0 (2)
O2^v—Sr—O2^iv	167.2 (3)	Sr—O2—Sr^iii	166.5 (3)
O2^ii—Sr—O2	62.6 (2)	Sr—O2—Sr^xi	169.3 (3)
O2^ii—Sr—O2^v	59.2 (2)	Sr—O2—Sr^xix	97.8 (2)
O2^ii—Sr—O2^vi	80.6 (2)	Sr—O2—Sr^xviii	83.5 (2)
O2^ii—Sr—O2^viii	176.6 (3)	Sr^v—O2—Sr	86.4 (2)
O2^ii—Sr—O2^ix	90.5 (3)	Sr^v—O2—Sr^xv	179.5 (3)
O2^ii—Sr—O2^x	123.2 (3)	Sr^v—O2—Sr^iii	80.1 (2)
O2^ii—Sr—O2^iv	114.9 (3)	Sr^v—O2—Sr^xi	82.9 (2)
O2^vi—Sr—O2	58.28 (19)	Sr^v—O2—Sr^xix	175.8 (3)
O2^vi—Sr—O2^v	54.34 (19)	Sr^v—O2—Sr^iv	82.8 (2)
O2^vi—Sr—O2^ii	80.6 (2)	Sr^xv—O2—Sr	94.0 (2)
O2^vi—Sr—O2^viii	101.6 (3)	Sr^xv—O2—Sr^v	179.5 (3)
O2^vi—Sr—O2^ix	170.8 (3)	Sr^xv—O2—Sr^iii	99.4 (3)
O2^vi—Sr—O2^x	123.9 (3)	Sr^xv—O2—Sr^xi	96.6 (3)
O2^vi—Sr—O2^iv	114.9 (3)	Sr^xv—O2—Sr^xviii	177.6 (3)
O2^viii—Sr—O2	116.2 (3)	Sr^xv—O2—Sr^iv	97.7 (2)
O2^viii—Sr—O2^v	124.2 (3)	Sr^iii—O2—Sr	166.5 (3)
O2^viii—Sr—O2^ii	176.6 (3)	Sr^iii—O2—Sr^v	80.1 (2)
O2^viii—Sr—O2^vi	101.6 (3)	Sr^iii—O2—Sr^xv	99.4 (3)
O2^viii—Sr—O2^ix	87.2 (2)	Sr^iii—O2—Sr^xix	95.6 (3)
O2^viii—Sr—O2^x	57.8 (2)	Sr^iii—O2—Sr^xviii	83.0 (2)
O2^viii—Sr—O2^iv	61.9 (2)	Sr^iii—O2—Sr^iv	162.9 (3)
O2^ix—Sr—O2	115.4 (3)	Sr^xi—O2—Sr	169.3 (3)
O2^ix—Sr—O2^v	122.6 (3)	Sr^xi—O2—Sr^v	82.9 (2)
O2^ix—Sr—O2^ii	90.5 (3)	Sr^xi—O2—Sr^xv	96.6 (3)
O2^ix—Sr—O2^vi	170.8 (3)	Sr^xi—O2—Sr^xix	92.8 (3)
O2^ix—Sr—O2^viii	87.2 (2)	Sr^xi—O2—Sr^xviii	85.8 (2)
O2^ix—Sr—O2^x	63.3 (2)	Sr^xi—O2—Sr^iv	165.7 (3)
O2^ix—Sr—O2^iv	66.7 (3)	Sr^xix—O2—Sr	97.8 (2)
O2^x—Sr—O2	173.4 (3)	Sr^xix—O2—Sr^v	175.8 (3)
O2^x—Sr—O2^v	92.4 (2)	Sr^xix—O2—Sr^iii	95.6 (3)
O2^x—Sr—O2^ii	123.2 (3)	Sr^xix—O2—Sr^xi	92.8 (3)
O2^x—Sr—O2^vi	123.9 (3)	Sr^xix—O2—Sr^xviii	178.6 (3)
O2^x—Sr—O2^viii	57.8 (2)	Sr^xix—O2—Sr^iv	101.5 (3)
O2^x—Sr—O2^ix	63.3 (2)	Sr^xviii—O2—Sr	83.5 (2)
O2^x—Sr—O2^iv	100.1 (2)	Sr^xviii—O2—Sr^xv	177.6 (3)
O2^iv—Sr—O2	73.8 (2)	Sr^xviii—O2—Sr^iii	83.0 (2)
O2^iv—Sr—O2^v	167.2 (3)	Sr^xviii—O2—Sr^xi	85.8 (2)
O2^iv—Sr—O2^ii	114.9 (3)	Sr^xviii—O2—Sr^xix	178.6 (3)
O2^iv—Sr—O2^vi	114.9 (3)	Sr^xviii—O2—Sr^iv	79.9 (2)
O2^iv—Sr—O2^viii	61.9 (2)	Sr^iv—O2—Sr^v	82.8 (2)
O2^iv—Sr—O2^ix	66.7 (3)	Sr^iv—O2—Sr^xv	97.7 (2)
O2^iv—Sr—O2^x	100.1 (2)	Sr^iv—O2—Sr^iii	162.9 (3)
Mn—O1—Mn^xiii	158.6 (4)	Sr^iv—O2—Sr^xi	165.7 (3)
Mn—O1—Eu^v	100.37 (19)	Sr^iv—O2—Sr^xix	101.5 (3)
Mn—O1—Eu^i	79.31 (19)	Sr^iv—O2—Sr^xviii	79.9 (2)

Symmetry codes: (i) −x+1, −y+1, −z+1; (ii) −x+1/2, y+1/2, z; (iii) x+1/2, −y+1/2, −z+1; (iv) x, y, −z+1/2; (v) −x, −y+1, −z+1; (vi) x−1/2, −y+1/2, −z+1; (vii) x−1/2, −y+3/2, −z+1; (viii) x−1/2, −y+1/2, z−1/2; (ix) −x+1/2, y+1/2, −z+1/2; (x) −x, −y+1, z−1/2; (xi) x+1/2, −y+1/2, z+1/2; (xii) −x+1/2, y+1/2, −z+3/2; (xiii) −x+1, −y+1, z+1/2; (xiv) x, y, −z+3/2; (xv) −x+1/2, y−1/2, z; (xvi) x+1/2, −y+3/2, −z+1; (xvii) x+1/2, −y+3/2, z+1/2; (xviii) −x, −y+1, z+1/2; (xix) −x+1/2, y−1/2, −z+1/2.