Pr16Mo21O56

Gougeon, P.; Gall, P.

doi:10.1107/S1600536811015649

inorganic compounds

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ISSN: 2056-9890

Volume 67| Part 5| May 2011| Pages i34-i35

doi:10.1107/S1600536811015649

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Pr₁₆Mo₂₁O₅₆

Patrick Gougeon ^a ^* and Philippe Gall ^a

^aSciences Chimiques de Rennes, UMR CNRS No. 6226, Université de Rennes I – INSA Rennes, Avenue du Général Leclerc, 35042 Rennes CEDEX, France
^*Correspondence e-mail: patrick.gougeon@univ-rennes1.fr

(Received 12 April 2011; accepted 26 April 2011; online 29 April 2011)

The structure of hexadecapraseodymium henicosamolybdenum hexapentacontaoxide, Pr₁₆Mo₂₁O₅₆, is isotypic with other rare earth representatives of formula type RE₁₆Mo₂₁O₅₆ (RE = La, Ce, Nd). It is characterized by Mo₁₀O₁₈ⁱO₈^a units (where i = inner and a = apical O atoms) containing bioctahedral Mo₁₀ clusters and octahedral MoO₆ units that share some of their O atoms to form the Mo–O framework. The two independent Mo₁₀ cluster units are centred at Wyckoff positions 2b and 2c and have point-group symmetry $[\overline{1}]$ . The Mo atom of the MoO₆ unit is likewise situated at an inversion centre (2d). The eight crystallographically different Pr³⁺ cations occupy irregular voids in the framework with coordination numbers to the O atoms varying between 8 and 11.

Related literature

For previous reports on the crystal structures of RE₁₆Mo₂₁O₅₆ compounds, see: Gall & Gougeon (1993 ) for RE = Ce; Gall & Gougeon (1998 ) for RE = Nd; Gall et al. (1999 ) for RE = La. For details of the i- and a-type ligand notation, see: Schäfer & von Schnering (1964 ).

Experimental

Crystal data

Pr₁₆Mo₂₁O₅₆
M_r = 5165.30
Monoclinic, P 2₁ /c
a = 13.427 (3) Å
b = 13.3935 (16) Å
c = 13.318 (3) Å
β = 100.102 (13)°
V = 2357.9 (8) Å³
Z = 2
Mo Kα radiation
μ = 21.65 mm⁻¹
T = 293 K
0.10 × 0.07 × 0.03 mm

Data collection

Nonius KappaCCD diffractometer
Absorption correction: multi-scan (PLATON; Spek, 2009 ) T_min = 0.060, T_max = 0.216
97514 measured reflections
18339 independent reflections
15545 reflections with I > 2σ(I)
R_int = 0.040

Refinement

R[F² > 2σ(F²)] = 0.025
wR(F²) = 0.049
S = 1.13
18339 reflections
422 parameters
Δρ_max = 2.19 e Å⁻³
Δρ_min = −2.34 e Å⁻³

Table 1
Selected bond lengths (Å)

Pr1—O28ⁱ	2.320 (2)
Pr1—O22	2.358 (2)
Pr1—O3	2.489 (2)
Pr1—O2	2.497 (2)
Pr1—O6ⁱⁱ	2.599 (2)
Pr1—O10	2.628 (2)
Pr1—O4ⁱⁱ	2.695 (2)
Pr1—O9ⁱⁱ	2.897 (2)
Pr1—O17	3.012 (2)
Pr1—O19	3.212 (2)
Pr2—O13ⁱⁱ	2.313 (2)
Pr2—O26	2.382 (2)
Pr2—O28ⁱ	2.392 (2)
Pr2—O16ⁱⁱⁱ	2.461 (2)
Pr2—O15ⁱⁱⁱ	2.513 (2)
Pr2—O23ⁱⁱⁱ	2.6186 (19)
Pr2—O14	2.675 (2)
Pr2—O19	2.739 (2)
Pr2—O1ⁱⁱ	2.914 (2)
Pr3—O5ⁱⁱ	2.378 (2)
Pr3—O28ⁱ	2.396 (2)
Pr3—O6^iv	2.428 (2)
Pr3—O19ⁱ	2.497 (2)
Pr3—O21ⁱ	2.499 (2)
Pr3—O10	2.835 (2)
Pr3—O1ⁱⁱ	2.836 (2)
Pr3—O8^iv	2.854 (2)
Pr3—O22ⁱ	3.166 (2)
Pr3—O23ⁱⁱⁱ	3.225 (2)
Pr3—O4ⁱⁱ	3.253 (2)
Pr4—O18	2.360 (2)
Pr4—O26ⁱ	2.3740 (19)
Pr4—O13^iv	2.399 (2)
Pr4—O12	2.437 (2)
Pr4—O28ⁱ	2.563 (2)
Pr4—O25ⁱⁱⁱ	2.723 (2)
Pr4—O18^v	2.854 (2)
Pr4—O23ⁱⁱⁱ	3.051 (2)
Pr4—O14	3.235 (2)
Pr4—O17	3.411 (2)
Pr4—O10	3.439 (2)
Pr5—O8ⁱⁱ	2.293 (2)
Pr5—O27^vi	2.293 (2)
Pr5—O20^vii	2.364 (2)
Pr5—O2^vii	2.372 (2)
Pr5—O22^vii	2.572 (2)
Pr5—O5^vii	2.629 (2)
Pr5—O9ⁱⁱ	2.841 (2)
Pr5—O4^vii	3.005 (2)
Pr5—O17^vii	3.128 (2)
Pr6—O25ⁱⁱ	2.226 (2)
Pr6—O11^iv	2.367 (2)
Pr6—O16^viii	2.3794 (19)
Pr6—O12^iv	2.485 (2)
Pr6—O18^viii	2.602 (2)
Pr6—O14^viii	2.752 (2)
Pr6—O27^ix	2.753 (2)
Pr6—O13	2.797 (2)
Pr7—O12	2.331 (2)
Pr7—O26^x	2.352 (2)
Pr7—O15	2.442 (2)
Pr7—O25^xi	2.465 (2)
Pr7—O27ⁱ	2.474 (2)
Pr7—O24^xi	2.598 (2)
Pr7—O18	2.675 (2)
Pr7—O17	2.810 (2)
Pr7—O7	3.128 (2)
Pr8—O27^ix	2.309 (2)
Pr8—O21^vii	2.384 (2)
Pr8—O9ⁱⁱ	2.389 (2)
Pr8—O3	2.442 (2)
Pr8—O7ⁱⁱ	2.509 (2)
Pr8—O20^vii	2.700 (2)
Pr8—O24^vii	2.708 (2)
Pr8—O4ⁱⁱ	3.235 (2)
Pr8—O1	3.360 (2)
Mo1—O1	1.939 (2)
Mo1—O4	2.004 (2)
Mo1—O3	2.009 (2)
Mo1—O2	2.046 (2)
Mo1—O5	2.175 (2)
Mo1—Mo2	2.6435 (5)
Mo1—Mo4	2.7048 (6)
Mo1—Mo5	2.7050 (4)
Mo1—Mo3	2.8049 (7)
Mo2—O7	1.973 (2)
Mo2—O8	1.979 (2)
Mo2—O4	2.008 (2)
Mo2—O6	2.019 (2)
Mo2—O9	2.159 (2)
Mo2—Mo5^iv	2.7076 (5)
Mo2—Mo3	2.7191 (4)
Mo2—Mo4	2.7525 (5)
Mo3—O12	2.032 (2)
Mo3—O2	2.0508 (19)
Mo3—O7	2.077 (2)
Mo3—O10	2.095 (2)
Mo3—O11	2.0981 (19)
Mo3—Mo4^iv	2.6477 (4)
Mo3—Mo5	2.7423 (5)
Mo3—Mo5^iv	2.7819 (6)
Mo4—O13	1.963 (2)
Mo4—O1	2.083 (2)
Mo4—O11^iv	2.088 (2)
Mo4—O6	2.088 (2)
Mo4—O10^iv	2.0982 (19)
Mo4—Mo3^iv	2.6477 (4)
Mo4—Mo5^iv	2.7530 (6)
Mo4—Mo5	2.7756 (4)
Mo5—O8^iv	2.018 (2)
Mo5—O11^iv	2.045 (2)
Mo5—O3	2.0506 (19)
Mo5—O10	2.061 (2)
Mo5—Mo2^iv	2.7076 (5)
Mo5—Mo4^iv	2.7530 (6)
Mo5—Mo3^iv	2.7819 (6)
Mo5—Mo5^iv	2.8260 (6)
Mo6—O14	1.955 (2)
Mo6—O17	1.987 (2)
Mo6—O15	2.016 (2)
Mo6—O16	2.025 (2)
Mo6—O18	2.143 (2)
Mo6—Mo7	2.6087 (6)
Mo6—Mo9	2.7077 (4)
Mo6—Mo10^xii	2.7396 (6)
Mo6—Mo8	2.7987 (5)
Mo7—O17	1.980 (2)
Mo7—O20	1.991 (2)
Mo7—O19	1.991 (2)
Mo7—O21	2.0146 (19)
Mo7—O22	2.133 (2)
Mo7—Mo10	2.7151 (6)
Mo7—Mo9	2.7257 (5)
Mo7—Mo8	2.7514 (4)
Mo8—O25	2.025 (2)
Mo8—O15	2.0509 (19)
Mo8—O20	2.075 (2)
Mo8—O24	2.0843 (19)
Mo8—O23	2.088 (2)
Mo8—Mo9^xii	2.6006 (6)
Mo8—Mo10^xii	2.7556 (5)
Mo8—Mo10	2.7648 (4)
Mo9—O26	1.955 (2)
Mo9—O19	2.064 (2)
Mo9—O14	2.084 (2)
Mo9—O23^xii	2.0935 (19)
Mo9—O24^xii	2.105 (2)
Mo9—Mo8^xii	2.6006 (6)
Mo9—Mo10	2.7168 (5)
Mo9—Mo10^xii	2.7422 (4)
Mo10—O16^xii	2.0182 (19)
Mo10—O21	2.062 (2)
Mo10—O23^xii	2.066 (2)
Mo10—O24	2.086 (2)
Mo10—Mo6^xii	2.7396 (6)
Mo10—Mo9^xii	2.7422 (4)
Mo10—Mo8^xii	2.7556 (5)
Mo10—Mo10^xii	2.8525 (7)
Mo11—O5^vii	2.024 (2)
Mo11—O5	2.024 (2)
Mo11—O9^xiii	2.027 (2)
Mo11—O9ⁱⁱ	2.027 (2)
Mo11—O22	2.048 (2)
Mo11—O22^vii	2.048 (2)
Symmetry codes: (i) $[x, -y+{\script{1\over 2}}, z-{\script{1\over 2}}]$ ; (ii) $[-x+1, y+{\script{1\over 2}}, -z+{\script{1\over 2}}]$ ; (iii) $[-x, y+{\script{1\over 2}}, -z+{\script{1\over 2}}]$ ; (iv) -x+1, -y, -z; (v) -x, -y, -z; (vi) $[-x+1, y-{\script{1\over 2}}, -z+{\script{3\over 2}}]$ ; (vii) -x+1, -y, -z+1; (viii) x+1, y, z; (ix) -x+1, -y+1, -z+1; (x) $[-x, y-{\script{1\over 2}}, -z+{\script{1\over 2}}]$ ; (xi) $[x, -y-{\script{1\over 2}}, z-{\script{1\over 2}}]$ ; (xii) -x, -y, -z+1; (xiii) $[x, -y-{\script{1\over 2}}, z+{\script{1\over 2}}]$ .

Data collection: COLLECT (Nonius, 1998 ); cell refinement: COLLECT; data reduction: EVALCCD (Duisenberg et al., 2003 ); program(s) used to solve structure: SIR97 (Altomare et al., 1999 ); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008 ); molecular graphics: DIAMOND (Bergerhoff, 1996 ); software used to prepare material for publication: SHELXL97.

Supporting information

Crystal structure: contains datablocks I, global. DOI: 10.1107/S1600536811015649/wm2479sup1.cif

Structure factors: contains datablock I. DOI: 10.1107/S1600536811015649/wm2479Isup2.hkl

checkCIF report

Comment top

Pr₁₆Mo₂₁O₅₆ is isotypic with the Ce₁₆Mo₂₁O₅₆ (Gall & Gougeon, 1993) structure type that has been described in the early 1990s. Subsequently, we also reported the crystal structures of the Nd (Gall & Gougeon, 1998) and La (Gall et al., 1999) members of this formula type. The crystal structure is based on Mo₁₀O₁₈ⁱO₈^a cluster units sharing two or four apical O^a atoms with adjacent MoO₆ octahedra (Figs. 1 and 2). For details of the i- and a-type ligand notation, see: Schäfer & von Schnering (1964). The Mo core of the two crystallographically independent Mo₁₀O₁₈ⁱO₈^a units results from metal edge-sharing of two Mo₆ octahedra. The Mo₁₀(I) cluster formed by the Mo1, Mo2, Mo3, Mo4 and Mo5 atoms are centred on 2b position and the Mo₁₀(II) cluster formed by the Mo6, Mo7, Mo8, Mo9 and Mo10 atoms on 2c position, while the single Mo11 atoms occupy the inversion centres located at the center of four of the six faces (2d position) of the unit-cell. Figure 2 shows the interunit linkage through the apical oxygen atoms between the Mo₁₀(II) clusters and single Mo atoms within the slabs parallel to the bc plane. One can notice that the Mo₁₀(II) clusters are linked to four single Mo atoms, whereas the Mo10(I) ones are only linked to two Mo atoms through oxygen atoms. Consequently, the connectivity formula for the Mo₁₀O₁₈ⁱO₈^a and MoO₆ units can be described as follows: MoO_6/2Mo₁₀O₁₈ⁱO₄^aO_4/2^a-a- Mo₁₀O₁₈ⁱO₆^aO_2/2^a-a. In the Mo₁₀O₁₈ⁱO₈^a cluster units present in Pr₁₆Mo₂₁O₅₆, the Mo—Mo distances range between 2.6435 (5) and 2.8260 (6) Å and between 2.6087 (6) and 2.8525 (7) Å in the Mo₁₀ clusters I and II, respectively. With the exception of Mo5 and Mo10, which are shared by both octahedra forming the Mo10 clusters and are surrounded by four O atoms, all the other Mo atoms are bonded to five O atoms in an approximately square-pyramidal environment (Figs. 3, 4). The Mo—O distances lie between 1.955 (2) and 2.143 (2) Å in cluster I and between 1.939 (2) and 2.175 (2) Å in cluster II. The single Mo atoms are surrounded by six O atoms forming a slightly tetragonally distorted octahedron with four oxygen atoms [2× O5 and 2× O9] at 2.024 (2) and 2.027 (2) Å and two O22 atoms at 2.048 (2) Å. All the eight different Pr³⁺ ions are in general positions and occupy irregularly O-coordinated sites inbetween the Mo₁₀O₁₈ⁱO₈^a units. The coordination numbers of the Pr³⁺ ions vary from 8 to 11 with Pr—O distances spreading over a wide range [2.226 (2) to 3.439 (2) Å].

Related literature top

For previous reports on the crystal structures of RE₁₆Mo₂₁O₅₆ compounds, see: Gall & Gougeon (1993) for RE = Ce; Gall & Gougeon (1998) for RE = Nd; Gall et al. (1999) for RE = La. For details of the i- and a-type ligand notation, see: Schäfer & von Schnering (1964).

Experimental top

Single crystals of Pr₁₆Mo₂₁O₅₆ were obtained from a mixture of Pr₆O₁₁, MoO₃, and Mo with a nominal composition Pr₂Mo₂O₇. Before use, Mo powder was reduced under H₂ flowing gas at 1273 K during ten hours in order to eliminate any trace of oxygen. The initial mixture (ca 4 g) was cold pressed and loaded into a molybdenum crucible, which was sealed under a low argon pressure using an arc welding system. The charge was heated at the rate of 300 K/h up to 2000 K, the temperature which was held for 18 hours, then cooled at 100 K/h down to 1373 K and finally furnace cooled.

Computing details top

Data collection: COLLECT (Nonius, 1998); cell refinement: COLLECT (Nonius, 1998); data reduction: EVALCCD (Duisenberg et al., 20033); program(s) used to solve structure: SIR97 (Altomare et al., 1999); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: DIAMOND (Bergerhoff, 1996); software used to prepare material for publication: SHELXL97 (Sheldrick, 2008).

Figures top

	Fig. 1. : Projection of the crystal structure of Pr₁₆Mo₂₁O₅₆ on the ac plane. Displacement ellipsoids are drawn at the 97% probability level.
	Fig. 2. : The interunit linkage through the apical oxygen atoms between the Mo₁₀ clusters and single Mo atoms.
	Fig. 3. : Plot showing the atom-numbering scheme of the Mo₁₀O₁₈ⁱO₈^<a/i>a unit (Mo₁₀(I)). Displacement ellipsoids are drawn at the 97% probability level.
	Fig. 4. : Plot showing the atom-numbering scheme of the Mo₁₀O₁₈ⁱO₈^<a/i>a unit (Mo₁₀(II)). Displacement ellipsoids are drawn at the 97% probability level.

hexadecapraseodymium henicosamolybdenum hexapentacontaoxide top

Crystal data top

Pr₁₆Mo₂₁O₅₆	F(000) = 4548
M_r = 5165.30	D_x = 7.275 Mg m⁻³
Monoclinic, P2₁/c	Mo Kα radiation, λ = 0.71073 Å
Hall symbol: -P 2ybc	Cell parameters from 96298 reflections
a = 13.427 (3) Å	θ = 3.5–44.0°
b = 13.3935 (16) Å	µ = 21.65 mm⁻¹
c = 13.318 (3) Å	T = 293 K
β = 100.102 (13)°	Irregular block, black
V = 2357.9 (8) Å³	0.10 × 0.07 × 0.03 mm
Z = 2

Data collection top

Nonius KappaCCD diffractometer	18339 independent reflections
Radiation source: fine-focus sealed tube	15545 reflections with I > 2σ(I)
Graphite monochromator	R_int = 0.040
ϕ scans (κ = 0) + additional ω scans	θ_max = 44.0°, θ_min = 3.5°
Absorption correction: multi-scan (PLATON; Spek, 2009)	h = −21→26
T_min = 0.060, T_max = 0.216	k = −26→24
97514 measured reflections	l = −26→19

Refinement top

Refinement on F²	Primary atom site location: structure-invariant direct methods
Least-squares matrix: full	Secondary atom site location: difference Fourier map
R[F² > 2σ(F²)] = 0.025	w = 1/[σ²(F_o²) + (0.0113P)² + 11.0419P] where P = (F_o² + 2F_c²)/3
wR(F²) = 0.049	(Δ/σ)_max = 0.003
S = 1.13	Δρ_max = 2.19 e Å⁻³
18339 reflections	Δρ_min = −2.34 e Å⁻³
422 parameters	Extinction correction: SHELXL97 (Sheldrick, 2008), Fc^*=kFc[1+0.001xFc²λ³/sin(2θ)]^-1/4
0 restraints	Extinction coefficient: 0.001364 (15)

Crystal data top

Pr₁₆Mo₂₁O₅₆	V = 2357.9 (8) Å³
M_r = 5165.30	Z = 2
Monoclinic, P2₁/c	Mo Kα radiation
a = 13.427 (3) Å	µ = 21.65 mm⁻¹
b = 13.3935 (16) Å	T = 293 K
c = 13.318 (3) Å	0.10 × 0.07 × 0.03 mm
β = 100.102 (13)°

Data collection top

Nonius KappaCCD diffractometer	18339 independent reflections
Absorption correction: multi-scan (PLATON; Spek, 2009)	15545 reflections with I > 2σ(I)
T_min = 0.060, T_max = 0.216	R_int = 0.040
97514 measured reflections

Refinement top

R[F² > 2σ(F²)] = 0.025	0 restraints
wR(F²) = 0.049	w = 1/[σ²(F_o²) + (0.0113P)² + 11.0419P] where P = (F_o² + 2F_c²)/3
S = 1.13	Δρ_max = 2.19 e Å⁻³
18339 reflections	Δρ_min = −2.34 e Å⁻³
422 parameters

Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Refinement. Refinement of F² against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F², conventional R-factors R are based on F, with F set to zero for negative F². The threshold expression of F² > 2sigma(F²) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F² are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å²) top

	x	y	z	U_iso*/U_eq
Pr1	0.368587 (12)	0.120261 (11)	0.278756 (11)	0.00606 (2)
Pr2	0.141006 (11)	0.302761 (11)	0.274727 (10)	0.00475 (2)
Pr3	0.326661 (12)	0.309727 (11)	0.073640 (11)	0.00650 (2)
Pr4	0.107285 (12)	0.110561 (11)	0.049623 (11)	0.00605 (2)
Pr5	0.644480 (11)	0.164018 (11)	0.644218 (10)	0.00498 (2)
Pr6	0.847572 (11)	0.096160 (12)	0.133086 (11)	0.00657 (2)
Pr7	0.129504 (11)	−0.167711 (11)	0.137964 (10)	0.00478 (2)
Pr8	0.683495 (11)	0.126717 (11)	0.354490 (11)	0.00589 (2)
Mo1	0.523977 (17)	−0.076331 (16)	0.216424 (15)	0.00341 (3)
Mo2	0.482272 (17)	−0.210959 (16)	0.069929 (16)	0.00369 (3)
Mo3	0.353802 (16)	−0.053160 (16)	0.062708 (15)	0.00313 (3)
Mo4	0.647517 (16)	−0.087908 (16)	0.076793 (15)	0.00332 (3)
Mo5	0.516970 (16)	0.072571 (16)	0.078141 (15)	0.00293 (3)
Mo6	0.038623 (17)	−0.005493 (16)	0.282727 (15)	0.00332 (3)
Mo7	0.198702 (16)	0.008403 (16)	0.424741 (16)	0.00342 (3)
Mo8	0.067857 (16)	−0.146721 (16)	0.440040 (15)	0.00309 (3)
Mo9	0.046379 (17)	0.143583 (16)	0.421214 (15)	0.00306 (3)
Mo10	0.087885 (16)	0.010377 (16)	0.576784 (15)	0.00292 (3)
Mo11	0.5000	0.0000	0.5000	0.00293 (4)
O1	0.66926 (16)	−0.09527 (17)	0.23536 (15)	0.0077 (3)
O2	0.37338 (15)	−0.05606 (16)	0.21890 (14)	0.0057 (3)
O3	0.53464 (15)	0.07242 (15)	0.23423 (14)	0.0051 (3)
O4	0.50407 (17)	−0.22434 (15)	0.22242 (15)	0.0071 (3)
O5	0.53471 (16)	−0.07903 (15)	0.38128 (14)	0.0060 (3)
O6	0.63101 (16)	−0.24270 (15)	0.08297 (15)	0.0063 (3)
O7	0.33446 (17)	−0.20703 (15)	0.06372 (16)	0.0077 (3)
O8	0.47829 (17)	−0.22315 (15)	−0.07884 (14)	0.0067 (3)
O9	0.45758 (17)	−0.37016 (15)	0.05837 (16)	0.0078 (3)
O10	0.36696 (15)	0.10183 (15)	0.08203 (14)	0.0051 (3)
O11	0.32871 (15)	−0.06541 (15)	−0.09680 (14)	0.0051 (3)
O12	0.20085 (15)	−0.04524 (15)	0.04837 (15)	0.0061 (3)
O13	0.79415 (16)	−0.10203 (17)	0.08399 (15)	0.0086 (3)
O14	0.02575 (16)	0.13881 (15)	0.26249 (15)	0.0064 (3)
O15	0.04258 (16)	−0.15598 (15)	0.28392 (14)	0.0054 (3)
O16	−0.11323 (15)	−0.01986 (15)	0.26960 (14)	0.0051 (3)
O17	0.18509 (16)	−0.00990 (16)	0.27544 (15)	0.0072 (3)
O18	0.00836 (16)	−0.00776 (15)	0.11934 (15)	0.0066 (3)
O19	0.19877 (15)	0.15686 (15)	0.41721 (15)	0.0060 (3)
O20	0.22338 (16)	−0.13688 (15)	0.44890 (15)	0.0060 (3)
O21	0.24076 (15)	0.02508 (15)	0.57660 (14)	0.0050 (3)
O22	0.35634 (16)	0.01724 (16)	0.41968 (15)	0.0068 (3)
O23	−0.08880 (15)	−0.16463 (15)	0.42132 (14)	0.0052 (3)
O24	0.11258 (15)	−0.14253 (15)	0.59797 (14)	0.0048 (3)
O25	0.07419 (17)	−0.29717 (15)	0.45501 (15)	0.0071 (3)
O26	0.04233 (15)	0.28883 (15)	0.40629 (14)	0.0051 (3)
O27	0.24825 (17)	0.77237 (16)	0.75659 (15)	0.0077 (3)
O28	0.23897 (16)	0.29374 (16)	0.67630 (15)	0.0072 (3)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Pr1	0.00832 (6)	0.00590 (5)	0.00427 (4)	0.00187 (4)	0.00198 (4)	0.00071 (4)
Pr2	0.00594 (5)	0.00528 (5)	0.00344 (4)	0.00063 (4)	0.00193 (4)	−0.00011 (4)
Pr3	0.00778 (5)	0.00660 (5)	0.00530 (5)	−0.00091 (4)	0.00161 (4)	0.00035 (4)
Pr4	0.00620 (5)	0.00635 (5)	0.00614 (5)	0.00004 (4)	0.00258 (4)	0.00140 (4)
Pr5	0.00504 (5)	0.00558 (5)	0.00447 (4)	−0.00028 (4)	0.00125 (4)	−0.00010 (4)
Pr6	0.00451 (5)	0.01048 (6)	0.00472 (5)	−0.00097 (4)	0.00085 (4)	0.00316 (4)
Pr7	0.00554 (5)	0.00556 (5)	0.00349 (4)	−0.00040 (4)	0.00146 (4)	0.00016 (4)
Pr8	0.00541 (5)	0.00732 (5)	0.00531 (5)	0.00055 (4)	0.00198 (4)	0.00138 (4)
Mo1	0.00429 (7)	0.00431 (7)	0.00188 (6)	0.00019 (6)	0.00121 (5)	−0.00003 (6)
Mo2	0.00500 (8)	0.00326 (7)	0.00312 (7)	−0.00003 (6)	0.00159 (6)	−0.00004 (6)
Mo3	0.00299 (7)	0.00406 (7)	0.00254 (6)	−0.00017 (6)	0.00101 (5)	0.00002 (6)
Mo4	0.00302 (7)	0.00462 (7)	0.00251 (6)	0.00034 (6)	0.00098 (5)	0.00004 (6)
Mo5	0.00336 (7)	0.00351 (7)	0.00215 (6)	−0.00021 (6)	0.00109 (5)	−0.00029 (5)
Mo6	0.00389 (7)	0.00417 (7)	0.00209 (6)	0.00009 (6)	0.00109 (5)	−0.00002 (5)
Mo7	0.00290 (7)	0.00462 (7)	0.00300 (7)	0.00007 (6)	0.00123 (5)	0.00014 (6)
Mo8	0.00370 (7)	0.00354 (7)	0.00227 (6)	0.00027 (6)	0.00121 (5)	0.00008 (5)
Mo9	0.00366 (7)	0.00310 (7)	0.00260 (6)	−0.00003 (6)	0.00107 (5)	0.00022 (5)
Mo10	0.00317 (7)	0.00366 (7)	0.00212 (6)	0.00003 (6)	0.00098 (5)	0.00005 (5)
Mo11	0.00315 (10)	0.00371 (10)	0.00208 (9)	−0.00019 (8)	0.00090 (8)	−0.00004 (8)
O1	0.0054 (7)	0.0140 (9)	0.0035 (6)	0.0009 (6)	0.0002 (5)	−0.0003 (6)
O2	0.0048 (7)	0.0096 (8)	0.0032 (6)	−0.0007 (6)	0.0022 (5)	0.0009 (6)
O3	0.0067 (7)	0.0055 (7)	0.0033 (6)	0.0001 (6)	0.0011 (5)	−0.0011 (5)
O4	0.0109 (8)	0.0066 (7)	0.0040 (6)	0.0001 (6)	0.0020 (6)	0.0010 (6)
O5	0.0077 (8)	0.0071 (7)	0.0036 (6)	0.0008 (6)	0.0021 (5)	−0.0004 (5)
O6	0.0073 (8)	0.0058 (7)	0.0065 (7)	0.0014 (6)	0.0030 (6)	0.0005 (6)
O7	0.0077 (8)	0.0043 (7)	0.0112 (8)	−0.0009 (6)	0.0017 (6)	−0.0003 (6)
O8	0.0120 (8)	0.0049 (7)	0.0034 (6)	−0.0009 (6)	0.0018 (6)	−0.0008 (5)
O9	0.0104 (8)	0.0050 (7)	0.0093 (7)	−0.0005 (6)	0.0060 (6)	−0.0021 (6)
O10	0.0054 (7)	0.0057 (7)	0.0045 (6)	0.0002 (6)	0.0016 (5)	0.0000 (5)
O11	0.0048 (7)	0.0068 (7)	0.0037 (6)	0.0004 (6)	0.0010 (5)	−0.0010 (5)
O12	0.0049 (7)	0.0070 (7)	0.0070 (7)	0.0002 (6)	0.0027 (5)	0.0002 (6)
O13	0.0052 (7)	0.0150 (9)	0.0063 (7)	0.0051 (7)	0.0028 (6)	0.0041 (6)
O14	0.0095 (8)	0.0048 (7)	0.0046 (6)	0.0001 (6)	0.0009 (6)	0.0008 (5)
O15	0.0078 (7)	0.0058 (7)	0.0028 (6)	−0.0004 (6)	0.0016 (5)	−0.0002 (5)
O16	0.0062 (7)	0.0064 (7)	0.0027 (6)	−0.0006 (6)	0.0006 (5)	−0.0002 (5)
O17	0.0060 (7)	0.0117 (8)	0.0043 (6)	−0.0007 (6)	0.0025 (5)	−0.0007 (6)
O18	0.0086 (8)	0.0073 (7)	0.0048 (6)	−0.0005 (6)	0.0032 (6)	0.0002 (6)
O19	0.0051 (7)	0.0054 (7)	0.0075 (7)	−0.0008 (6)	0.0011 (6)	0.0009 (6)
O20	0.0055 (7)	0.0059 (7)	0.0072 (7)	0.0008 (6)	0.0027 (6)	0.0013 (6)
O21	0.0041 (7)	0.0067 (7)	0.0042 (6)	−0.0007 (6)	0.0008 (5)	−0.0006 (5)
O22	0.0045 (7)	0.0096 (8)	0.0065 (7)	−0.0005 (6)	0.0015 (5)	0.0013 (6)
O23	0.0061 (7)	0.0056 (7)	0.0041 (6)	−0.0001 (6)	0.0015 (5)	−0.0010 (5)
O24	0.0053 (7)	0.0050 (7)	0.0041 (6)	0.0003 (5)	0.0011 (5)	0.0006 (5)
O25	0.0111 (8)	0.0053 (7)	0.0056 (7)	0.0012 (6)	0.0031 (6)	−0.0003 (6)
O26	0.0066 (7)	0.0049 (7)	0.0042 (6)	−0.0011 (6)	0.0017 (5)	0.0007 (5)
O27	0.0082 (8)	0.0087 (8)	0.0060 (7)	−0.0007 (6)	0.0004 (6)	0.0017 (6)
O28	0.0072 (8)	0.0080 (8)	0.0066 (7)	0.0000 (6)	0.0022 (6)	−0.0008 (6)

Geometric parameters (Å, º) top

Pr1—O28ⁱ	2.320 (2)	Mo1—Mo4	2.7048 (6)
Pr1—O22	2.358 (2)	Mo1—Mo5	2.7050 (4)
Pr1—O3	2.489 (2)	Mo1—Mo3	2.8049 (7)
Pr1—O2	2.497 (2)	Mo2—O7	1.973 (2)
Pr1—O6ⁱⁱ	2.599 (2)	Mo2—O8	1.979 (2)
Pr1—O10	2.628 (2)	Mo2—O4	2.008 (2)
Pr1—O4ⁱⁱ	2.695 (2)	Mo2—O6	2.019 (2)
Pr1—O9ⁱⁱ	2.897 (2)	Mo2—O9	2.159 (2)
Pr1—O17	3.012 (2)	Mo2—Mo5^iv	2.7076 (5)
Pr1—O19	3.212 (2)	Mo2—Mo3	2.7191 (4)
Pr2—O13ⁱⁱ	2.313 (2)	Mo2—Mo4	2.7525 (5)
Pr2—O26	2.382 (2)	Mo3—O12	2.032 (2)
Pr2—O28ⁱ	2.392 (2)	Mo3—O2	2.0508 (19)
Pr2—O16ⁱⁱⁱ	2.461 (2)	Mo3—O7	2.077 (2)
Pr2—O15ⁱⁱⁱ	2.513 (2)	Mo3—O10	2.095 (2)
Pr2—O23ⁱⁱⁱ	2.6186 (19)	Mo3—O11	2.0981 (19)
Pr2—O14	2.675 (2)	Mo3—Mo4^iv	2.6477 (4)
Pr2—O19	2.739 (2)	Mo3—Mo5	2.7423 (5)
Pr2—O1ⁱⁱ	2.914 (2)	Mo3—Mo5^iv	2.7819 (6)
Pr3—O5ⁱⁱ	2.378 (2)	Mo4—O13	1.963 (2)
Pr3—O28ⁱ	2.396 (2)	Mo4—O1	2.083 (2)
Pr3—O6^iv	2.428 (2)	Mo4—O11^iv	2.088 (2)
Pr3—O19ⁱ	2.497 (2)	Mo4—O6	2.088 (2)
Pr3—O21ⁱ	2.499 (2)	Mo4—O10^iv	2.0982 (19)
Pr3—O10	2.835 (2)	Mo4—Mo3^iv	2.6477 (4)
Pr3—O1ⁱⁱ	2.836 (2)	Mo4—Mo5^iv	2.7530 (6)
Pr3—O8^iv	2.854 (2)	Mo4—Mo5	2.7756 (4)
Pr3—O22ⁱ	3.166 (2)	Mo5—O8^iv	2.018 (2)
Pr3—O23ⁱⁱⁱ	3.225 (2)	Mo5—O11^iv	2.045 (2)
Pr3—O4ⁱⁱ	3.253 (2)	Mo5—O3	2.0506 (19)
Pr4—O18	2.360 (2)	Mo5—O10	2.061 (2)
Pr4—O26ⁱ	2.3740 (19)	Mo5—Mo2^iv	2.7076 (5)
Pr4—O13^iv	2.399 (2)	Mo5—Mo4^iv	2.7530 (6)
Pr4—O12	2.437 (2)	Mo5—Mo3^iv	2.7819 (6)
Pr4—O28ⁱ	2.563 (2)	Mo5—Mo5^iv	2.8260 (6)
Pr4—O25ⁱⁱⁱ	2.723 (2)	Mo6—O14	1.955 (2)
Pr4—O18^v	2.854 (2)	Mo6—O17	1.987 (2)
Pr4—O23ⁱⁱⁱ	3.051 (2)	Mo6—O15	2.016 (2)
Pr4—O14	3.235 (2)	Mo6—O16	2.025 (2)
Pr4—O17	3.411 (2)	Mo6—O18	2.143 (2)
Pr4—O10	3.439 (2)	Mo6—Mo7	2.6087 (6)
Pr5—O8ⁱⁱ	2.293 (2)	Mo6—Mo9	2.7077 (4)
Pr5—O27^vi	2.293 (2)	Mo6—Mo10^xii	2.7396 (6)
Pr5—O20^vii	2.364 (2)	Mo6—Mo8	2.7987 (5)
Pr5—O2^vii	2.372 (2)	Mo7—O17	1.980 (2)
Pr5—O22^vii	2.572 (2)	Mo7—O20	1.991 (2)
Pr5—O5^vii	2.629 (2)	Mo7—O19	1.991 (2)
Pr5—O9ⁱⁱ	2.841 (2)	Mo7—O21	2.0146 (19)
Pr5—O4^vii	3.005 (2)	Mo7—O22	2.133 (2)
Pr5—O17^vii	3.128 (2)	Mo7—Mo10	2.7151 (6)
Pr6—O25ⁱⁱ	2.226 (2)	Mo7—Mo9	2.7257 (5)
Pr6—O11^iv	2.367 (2)	Mo7—Mo8	2.7514 (4)
Pr6—O16^viii	2.3794 (19)	Mo8—O25	2.025 (2)
Pr6—O12^iv	2.485 (2)	Mo8—O15	2.0509 (19)
Pr6—O18^viii	2.602 (2)	Mo8—O20	2.075 (2)
Pr6—O14^viii	2.752 (2)	Mo8—O24	2.0843 (19)
Pr6—O27^ix	2.753 (2)	Mo8—O23	2.088 (2)
Pr6—O13	2.797 (2)	Mo8—Mo9^xii	2.6006 (6)
Pr7—O12	2.331 (2)	Mo8—Mo10^xii	2.7556 (5)
Pr7—O26^x	2.352 (2)	Mo8—Mo10	2.7648 (4)
Pr7—O15	2.442 (2)	Mo9—O26	1.955 (2)
Pr7—O25^xi	2.465 (2)	Mo9—O19	2.064 (2)
Pr7—O27ⁱ	2.474 (2)	Mo9—O14	2.084 (2)
Pr7—O24^xi	2.598 (2)	Mo9—O23^xii	2.0935 (19)
Pr7—O18	2.675 (2)	Mo9—O24^xii	2.105 (2)
Pr7—O17	2.810 (2)	Mo9—Mo8^xii	2.6006 (6)
Pr7—O7	3.128 (2)	Mo9—Mo10	2.7168 (5)
Pr8—O27^ix	2.309 (2)	Mo9—Mo10^xii	2.7422 (4)
Pr8—O21^vii	2.384 (2)	Mo10—O16^xii	2.0182 (19)
Pr8—O9ⁱⁱ	2.389 (2)	Mo10—O21	2.062 (2)
Pr8—O3	2.442 (2)	Mo10—O23^xii	2.066 (2)
Pr8—O7ⁱⁱ	2.509 (2)	Mo10—O24	2.086 (2)
Pr8—O20^vii	2.700 (2)	Mo10—Mo6^xii	2.7396 (6)
Pr8—O24^vii	2.708 (2)	Mo10—Mo9^xii	2.7422 (4)
Pr8—O4ⁱⁱ	3.235 (2)	Mo10—Mo8^xii	2.7556 (5)
Pr8—O1	3.360 (2)	Mo10—Mo10^xii	2.8525 (7)
Mo1—O1	1.939 (2)	Mo11—O5^vii	2.024 (2)
Mo1—O4	2.004 (2)	Mo11—O5	2.024 (2)
Mo1—O3	2.009 (2)	Mo11—O9^xiii	2.027 (2)
Mo1—O2	2.046 (2)	Mo11—O9ⁱⁱ	2.027 (2)
Mo1—O5	2.175 (2)	Mo11—O22	2.048 (2)
Mo1—Mo2	2.6435 (5)	Mo11—O22^vii	2.048 (2)

O28ⁱ—Pr1—O22	127.49 (7)	O22^vii—Pr5—O5^vii	66.29 (6)
O28ⁱ—Pr1—O3	126.76 (7)	O8ⁱⁱ—Pr5—O9ⁱⁱ	63.29 (7)
O22—Pr1—O3	103.26 (7)	O27^vi—Pr5—O9ⁱⁱ	143.01 (7)
O28ⁱ—Pr1—O2	109.90 (7)	O20^vii—Pr5—O9ⁱⁱ	76.02 (7)
O22—Pr1—O2	73.14 (7)	O2^vii—Pr5—O9ⁱⁱ	122.33 (7)
O3—Pr1—O2	66.81 (6)	O22^vii—Pr5—O9ⁱⁱ	63.91 (6)
O28ⁱ—Pr1—O6ⁱⁱ	88.52 (7)	O5^vii—Pr5—O9ⁱⁱ	61.94 (6)
O22—Pr1—O6ⁱⁱ	80.86 (7)	O8ⁱⁱ—Pr5—O4^vii	62.59 (6)
O3—Pr1—O6ⁱⁱ	117.38 (6)	O27^vi—Pr5—O4^vii	84.51 (7)
O2—Pr1—O6ⁱⁱ	153.77 (6)	O20^vii—Pr5—O4^vii	171.27 (6)
O28ⁱ—Pr1—O10	65.55 (7)	O2^vii—Pr5—O4^vii	62.77 (6)
O22—Pr1—O10	138.50 (7)	O22^vii—Pr5—O4^vii	118.99 (6)
O3—Pr1—O10	65.76 (6)	O5^vii—Pr5—O4^vii	60.36 (6)
O2—Pr1—O10	65.73 (6)	O9ⁱⁱ—Pr5—O4^vii	110.19 (6)
O6ⁱⁱ—Pr1—O10	140.47 (6)	O8ⁱⁱ—Pr5—O17^vii	177.60 (6)
O28ⁱ—Pr1—O4ⁱⁱ	91.40 (7)	O27^vi—Pr5—O17^vii	82.68 (7)
O22—Pr1—O4ⁱⁱ	126.11 (7)	O20^vii—Pr5—O17^vii	60.44 (6)
O3—Pr1—O4ⁱⁱ	66.53 (7)	O2^vii—Pr5—O17^vii	60.08 (6)
O2—Pr1—O4ⁱⁱ	132.58 (6)	O22^vii—Pr5—O17^vii	56.68 (6)
O6ⁱⁱ—Pr1—O4ⁱⁱ	62.38 (6)	O5^vii—Pr5—O17^vii	110.88 (6)
O10—Pr1—O4ⁱⁱ	87.77 (6)	O9ⁱⁱ—Pr5—O17^vii	114.88 (6)
O28ⁱ—Pr1—O9ⁱⁱ	147.24 (7)	O4^vii—Pr5—O17^vii	119.80 (5)
O22—Pr1—O9ⁱⁱ	65.77 (6)	O8ⁱⁱ—Pr5—O7ⁱⁱ	60.05 (6)
O3—Pr1—O9ⁱⁱ	63.39 (6)	O27^vi—Pr5—O7ⁱⁱ	90.83 (7)
O2—Pr1—O9ⁱⁱ	102.62 (6)	O20^vii—Pr5—O7ⁱⁱ	57.35 (6)
O6ⁱⁱ—Pr1—O9ⁱⁱ	62.42 (6)	O2^vii—Pr5—O7ⁱⁱ	173.67 (6)
O10—Pr1—O9ⁱⁱ	127.98 (6)	O22^vii—Pr5—O7ⁱⁱ	102.19 (6)
O4ⁱⁱ—Pr1—O9ⁱⁱ	62.71 (6)	O5^vii—Pr5—O7ⁱⁱ	109.12 (6)
O28ⁱ—Pr1—O17	75.61 (7)	O9ⁱⁱ—Pr5—O7ⁱⁱ	52.31 (6)
O22—Pr1—O17	60.13 (6)	O4^vii—Pr5—O7ⁱⁱ	121.07 (5)
O3—Pr1—O17	127.73 (6)	O17^vii—Pr5—O7ⁱⁱ	117.69 (5)
O2—Pr1—O17	60.97 (6)	Mo11—Pr5—O7ⁱⁱ	89.33 (4)
O6ⁱⁱ—Pr1—O17	108.61 (6)	O25ⁱⁱ—Pr6—O11^iv	123.47 (7)
O10—Pr1—O17	93.86 (6)	O25ⁱⁱ—Pr6—O16^viii	139.50 (8)
O4ⁱⁱ—Pr1—O17	164.77 (6)	O11^iv—Pr6—O16^viii	96.98 (7)
O9ⁱⁱ—Pr1—O17	125.88 (6)	O25ⁱⁱ—Pr6—O12^iv	74.38 (7)
O28ⁱ—Pr1—O19	74.16 (6)	O11^iv—Pr6—O12^iv	70.86 (7)
O22—Pr1—O19	58.45 (6)	O16^viii—Pr6—O12^iv	123.29 (7)
O3—Pr1—O19	158.71 (6)	O25ⁱⁱ—Pr6—O18^viii	80.34 (7)
O2—Pr1—O19	112.85 (6)	O11^iv—Pr6—O18^viii	134.81 (7)
O6ⁱⁱ—Pr1—O19	53.05 (6)	O16^viii—Pr6—O18^viii	68.25 (7)
O10—Pr1—O19	134.76 (6)	O12^iv—Pr6—O18^viii	82.16 (7)
O4ⁱⁱ—Pr1—O19	113.61 (6)	O25ⁱⁱ—Pr6—O14^viii	76.00 (7)
O9ⁱⁱ—Pr1—O19	97.08 (6)	O11^iv—Pr6—O14^viii	153.15 (6)
O17—Pr1—O19	55.63 (5)	O16^viii—Pr6—O14^viii	66.77 (6)
O28ⁱ—Pr1—Mo2ⁱⁱ	108.58 (5)	O12^iv—Pr6—O14^viii	135.75 (6)
O22—Pr1—Mo2ⁱⁱ	91.89 (5)	O18^viii—Pr6—O14^viii	60.94 (6)
O3—Pr1—Mo2ⁱⁱ	81.64 (5)	O25ⁱⁱ—Pr6—O27^ix	100.30 (7)
O2—Pr1—Mo2ⁱⁱ	139.98 (5)	O11^iv—Pr6—O27^ix	71.10 (7)
O6ⁱⁱ—Pr1—Mo2ⁱⁱ	35.90 (5)	O16^viii—Pr6—O27^ix	94.09 (6)
O10—Pr1—Mo2ⁱⁱ	123.34 (5)	O12^iv—Pr6—O27^ix	128.86 (6)
O4ⁱⁱ—Pr1—Mo2ⁱⁱ	35.80 (4)	O18^viii—Pr6—O27^ix	148.32 (6)
O9ⁱⁱ—Pr1—Mo2ⁱⁱ	38.77 (4)	O14^viii—Pr6—O27^ix	88.24 (6)
O17—Pr1—Mo2ⁱⁱ	141.42 (4)	O25ⁱⁱ—Pr6—O13	127.69 (7)
O19—Pr1—Mo2ⁱⁱ	87.83 (4)	O11^iv—Pr6—O13	65.22 (6)
O28ⁱ—Pr1—Mo11	157.97 (5)	O16^viii—Pr6—O13	64.67 (6)
O22—Pr1—Mo11	33.56 (5)	O12^iv—Pr6—O13	59.98 (6)
O3—Pr1—Mo11	75.23 (5)	O18^viii—Pr6—O13	69.99 (6)
O2—Pr1—Mo11	78.39 (4)	O14^viii—Pr6—O13	120.17 (6)
O6ⁱⁱ—Pr1—Mo11	78.06 (5)	O27^ix—Pr6—O13	127.38 (6)
O10—Pr1—Mo11	134.58 (4)	O25ⁱⁱ—Pr6—O7^iv	70.87 (7)
O4ⁱⁱ—Pr1—Mo11	97.58 (4)	O11^iv—Pr6—O7^iv	52.60 (6)
O9ⁱⁱ—Pr1—Mo11	34.87 (4)	O16^viii—Pr6—O7^iv	149.53 (6)
O17—Pr1—Mo11	92.05 (4)	O12^iv—Pr6—O7^iv	51.17 (6)
O19—Pr1—Mo11	83.81 (4)	O18^viii—Pr6—O7^iv	129.72 (6)
Mo2ⁱⁱ—Pr1—Mo11	69.936 (13)	O14^viii—Pr6—O7^iv	141.24 (5)
O28ⁱ—Pr1—Mo1	129.95 (5)	O27^ix—Pr6—O7^iv	78.60 (6)
O22—Pr1—Mo1	82.99 (5)	O13—Pr6—O7^iv	96.22 (5)
O3—Pr1—Mo1	33.39 (5)	Mo6^viii—Pr6—O7^iv	170.08 (4)
O2—Pr1—Mo1	34.32 (5)	Mo3^iv—Pr6—O7^iv	34.29 (3)
O6ⁱⁱ—Pr1—Mo1	139.62 (5)	O25ⁱⁱ—Pr6—O24^vii	114.48 (6)
O10—Pr1—Mo1	66.38 (4)	O11^iv—Pr6—O24^vii	101.71 (6)
O4ⁱⁱ—Pr1—Mo1	99.91 (5)	O16^viii—Pr6—O24^vii	51.31 (6)
O9ⁱⁱ—Pr1—Mo1	77.20 (4)	O12^iv—Pr6—O24^vii	171.00 (6)
O17—Pr1—Mo1	94.60 (4)	O18^viii—Pr6—O24^vii	100.54 (5)
O19—Pr1—Mo1	138.91 (4)	O14^viii—Pr6—O24^vii	51.45 (5)
Mo2ⁱⁱ—Pr1—Mo1	108.660 (15)	O27^ix—Pr6—O24^vii	50.00 (5)
Mo11—Pr1—Mo1	68.271 (13)	O13—Pr6—O24^vii	112.68 (5)
O28ⁱ—Pr1—Mo7	92.49 (5)	Mo6^viii—Pr6—O24^vii	59.82 (3)
O22—Pr1—Mo7	35.10 (5)	Mo3^iv—Pr6—O24^vii	137.95 (3)
O3—Pr1—Mo7	134.84 (5)	O7^iv—Pr6—O24^vii	128.58 (5)
O2—Pr1—Mo7	80.32 (5)	O12—Pr7—O26^x	121.27 (7)
O6ⁱⁱ—Pr1—Mo7	80.38 (5)	O12—Pr7—O15	131.23 (7)
O10—Pr1—Mo7	127.47 (5)	O26^x—Pr7—O15	68.32 (7)
O4ⁱⁱ—Pr1—Mo7	142.43 (4)	O12—Pr7—O25^xi	73.01 (7)
O9ⁱⁱ—Pr1—Mo7	96.80 (4)	O26^x—Pr7—O25^xi	65.97 (7)
O17—Pr1—Mo7	33.62 (4)	O15—Pr7—O25^xi	134.12 (7)
O19—Pr1—Mo7	33.58 (4)	O12—Pr7—O27ⁱ	116.68 (7)
Mo2ⁱⁱ—Pr1—Mo7	108.607 (15)	O26^x—Pr7—O27ⁱ	120.92 (7)
Mo11—Pr1—Mo7	68.262 (15)	O15—Pr7—O27ⁱ	82.68 (7)
Mo1—Pr1—Mo7	105.888 (13)	O25^xi—Pr7—O27ⁱ	124.88 (7)
O28ⁱ—Pr1—O5	160.79 (6)	O12—Pr7—O24^xi	127.76 (7)
O22—Pr1—O5	52.26 (6)	O26^x—Pr7—O24^xi	70.12 (7)
O3—Pr1—O5	51.44 (6)	O15—Pr7—O24^xi	100.91 (6)
O2—Pr1—O5	50.90 (6)	O25^xi—Pr7—O24^xi	67.07 (6)
O6ⁱⁱ—Pr1—O5	109.36 (6)	O27ⁱ—Pr7—O24^xi	66.43 (6)
O10—Pr1—O5	101.84 (5)	O12—Pr7—O18	71.75 (7)
O4ⁱⁱ—Pr1—O5	102.93 (6)	O26^x—Pr7—O18	67.74 (7)
O9ⁱⁱ—Pr1—O5	51.91 (5)	O15—Pr7—O18	69.78 (6)
O17—Pr1—O5	91.56 (6)	O25^xi—Pr7—O18	89.33 (7)
O19—Pr1—O5	110.57 (5)	O27ⁱ—Pr7—O18	145.73 (6)
Mo2ⁱⁱ—Pr1—O5	90.39 (4)	O24^xi—Pr7—O18	137.26 (6)
Mo11—Pr1—O5	32.94 (3)	O12—Pr7—O17	73.63 (7)
Mo1—Pr1—O5	35.48 (3)	O26^x—Pr7—O17	119.09 (6)
Mo7—Pr1—O5	83.96 (4)	O15—Pr7—O17	62.76 (6)
O28ⁱ—Pr1—Mo5	96.06 (5)	O25^xi—Pr7—O17	141.92 (6)
O22—Pr1—Mo5	127.01 (5)	O27ⁱ—Pr7—O17	86.69 (7)
O3—Pr1—Mo5	32.42 (4)	O24^xi—Pr7—O17	150.79 (6)
O2—Pr1—Mo5	63.50 (4)	O18—Pr7—O17	62.98 (6)
O6ⁱⁱ—Pr1—Mo5	134.99 (5)	O12—Pr7—O7	59.55 (6)
O10—Pr1—Mo5	33.47 (5)	O26^x—Pr7—O7	139.28 (6)
O4ⁱⁱ—Pr1—Mo5	72.74 (4)	O15—Pr7—O7	146.36 (6)
O9ⁱⁱ—Pr1—Mo5	94.82 (5)	O25^xi—Pr7—O7	77.56 (7)
O17—Pr1—Mo5	115.92 (4)	O27ⁱ—Pr7—O7	66.56 (7)
O19—Pr1—Mo5	168.08 (4)	O24^xi—Pr7—O7	79.67 (6)
Mo2ⁱⁱ—Pr1—Mo5	101.978 (15)	O18—Pr7—O7	131.30 (6)
Mo11—Pr1—Mo5	105.800 (16)	O17—Pr7—O7	100.65 (6)
Mo1—Pr1—Mo5	44.065 (7)	O12—Pr7—O2	54.92 (6)
Mo7—Pr1—Mo5	143.620 (9)	O26^x—Pr7—O2	168.96 (6)
O5—Pr1—Mo5	76.49 (3)	O15—Pr7—O2	105.81 (6)
O13ⁱⁱ—Pr2—O26	67.88 (7)	O25^xi—Pr7—O2	118.50 (6)
O13ⁱⁱ—Pr2—O28ⁱ	125.37 (8)	O27ⁱ—Pr7—O2	65.95 (6)
O26—Pr2—O28ⁱ	142.27 (7)	O24^xi—Pr7—O2	120.76 (6)
O13ⁱⁱ—Pr2—O16ⁱⁱⁱ	71.49 (7)	O18—Pr7—O2	101.66 (6)
O26—Pr2—O16ⁱⁱⁱ	99.88 (7)	O17—Pr7—O2	50.72 (5)
O28ⁱ—Pr2—O16ⁱⁱⁱ	117.70 (7)	O7—Pr7—O2	50.07 (5)
O13ⁱⁱ—Pr2—O15ⁱⁱⁱ	109.90 (7)	O27^ix—Pr8—O21^vii	123.74 (7)
O26—Pr2—O15ⁱⁱⁱ	66.68 (7)	O27^ix—Pr8—O9ⁱⁱ	137.61 (7)
O28ⁱ—Pr2—O15ⁱⁱⁱ	123.51 (7)	O21^vii—Pr8—O9ⁱⁱ	98.57 (7)
O16ⁱⁱⁱ—Pr2—O15ⁱⁱⁱ	67.30 (7)	O27^ix—Pr8—O3	97.20 (7)
O13ⁱⁱ—Pr2—O23ⁱⁱⁱ	135.72 (7)	O21^vii—Pr8—O3	104.08 (7)
O26—Pr2—O23ⁱⁱⁱ	131.32 (7)	O9ⁱⁱ—Pr8—O3	72.33 (7)
O28ⁱ—Pr2—O23ⁱⁱⁱ	67.70 (7)	O27^ix—Pr8—O7ⁱⁱ	80.67 (7)
O16ⁱⁱⁱ—Pr2—O23ⁱⁱⁱ	66.23 (6)	O21^vii—Pr8—O7ⁱⁱ	131.05 (7)
O15ⁱⁱⁱ—Pr2—O23ⁱⁱⁱ	64.98 (6)	O9ⁱⁱ—Pr8—O7ⁱⁱ	68.21 (7)
O13ⁱⁱ—Pr2—O14	129.30 (7)	O3—Pr8—O7ⁱⁱ	114.77 (7)
O26—Pr2—O14	65.80 (6)	O27^ix—Pr8—O20^vii	115.06 (7)
O28ⁱ—Pr2—O14	83.74 (7)	O21^vii—Pr8—O20^vii	64.91 (6)
O16ⁱⁱⁱ—Pr2—O14	135.75 (7)	O9ⁱⁱ—Pr8—O20^vii	78.45 (7)
O15ⁱⁱⁱ—Pr2—O14	68.66 (7)	O3—Pr8—O20^vii	146.87 (6)
O23ⁱⁱⁱ—Pr2—O14	91.45 (6)	O7ⁱⁱ—Pr8—O20^vii	66.27 (7)
O13ⁱⁱ—Pr2—O19	79.01 (7)	O27^ix—Pr8—O24^vii	66.76 (7)
O26—Pr2—O19	63.96 (7)	O21^vii—Pr8—O24^vii	68.35 (6)
O28ⁱ—Pr2—O19	83.00 (7)	O9ⁱⁱ—Pr8—O24^vii	137.75 (7)
O16ⁱⁱⁱ—Pr2—O19	150.17 (6)	O3—Pr8—O24^vii	148.66 (6)
O15ⁱⁱⁱ—Pr2—O19	121.01 (6)	O7ⁱⁱ—Pr8—O24^vii	89.96 (7)
O23ⁱⁱⁱ—Pr2—O19	143.45 (6)	O20^vii—Pr8—O24^vii	59.47 (6)
O14—Pr2—O19	63.07 (6)	O27^ix—Pr8—O4ⁱⁱ	79.08 (7)
O13ⁱⁱ—Pr2—O1ⁱⁱ	64.64 (7)	O21^vii—Pr8—O4ⁱⁱ	154.64 (6)
O26—Pr2—O1ⁱⁱ	132.38 (6)	O9ⁱⁱ—Pr8—O4ⁱⁱ	60.23 (6)
O28ⁱ—Pr2—O1ⁱⁱ	70.05 (7)	O3—Pr8—O4ⁱⁱ	58.26 (6)
O16ⁱⁱⁱ—Pr2—O1ⁱⁱ	68.49 (7)	O7ⁱⁱ—Pr8—O4ⁱⁱ	57.42 (6)
O15ⁱⁱⁱ—Pr2—O1ⁱⁱ	134.45 (6)	O20^vii—Pr8—O4ⁱⁱ	118.58 (6)
O23ⁱⁱⁱ—Pr2—O1ⁱⁱ	87.66 (6)	O24^vii—Pr8—O4ⁱⁱ	136.45 (6)
O14—Pr2—O1ⁱⁱ	152.00 (6)	O27^ix—Pr8—O1	102.21 (7)
O19—Pr2—O1ⁱⁱ	102.86 (6)	O21^vii—Pr8—O1	53.99 (6)
O13ⁱⁱ—Pr2—O6ⁱⁱ	57.69 (7)	O9ⁱⁱ—Pr8—O1	105.11 (6)
O26—Pr2—O6ⁱⁱ	98.05 (6)	O3—Pr8—O1	56.95 (6)
O28ⁱ—Pr2—O6ⁱⁱ	71.17 (6)	O7ⁱⁱ—Pr8—O1	171.34 (6)
O16ⁱⁱⁱ—Pr2—O6ⁱⁱ	113.26 (6)	O20^vii—Pr8—O1	118.74 (6)
O15ⁱⁱⁱ—Pr2—O6ⁱⁱ	164.08 (5)	O24^vii—Pr8—O1	98.69 (6)
O23ⁱⁱⁱ—Pr2—O6ⁱⁱ	130.57 (6)	O4ⁱⁱ—Pr8—O1	114.81 (5)
O14—Pr2—O6ⁱⁱ	110.22 (6)	O27^ix—Pr8—O5	146.50 (6)
O19—Pr2—O6ⁱⁱ	50.28 (6)	O21^vii—Pr8—O5	59.73 (6)
O1ⁱⁱ—Pr2—O6ⁱⁱ	52.69 (5)	O9ⁱⁱ—Pr8—O5	56.10 (6)
Mo9—Pr2—O6ⁱⁱ	87.51 (4)	O3—Pr8—O5	53.80 (6)
O5ⁱⁱ—Pr3—O28ⁱ	131.27 (7)	O7ⁱⁱ—Pr8—O5	124.13 (6)
O5ⁱⁱ—Pr3—O6^iv	99.08 (7)	O20^vii—Pr8—O5	96.76 (5)
O28ⁱ—Pr3—O6^iv	119.26 (7)	O24^vii—Pr8—O5	128.08 (5)
O5ⁱⁱ—Pr3—O19ⁱ	119.46 (7)	O4ⁱⁱ—Pr8—O5	95.30 (5)
O28ⁱ—Pr3—O19ⁱ	104.17 (7)	O1—Pr8—O5	50.03 (5)
O6^iv—Pr3—O19ⁱ	65.16 (7)	Mo2ⁱⁱ—Pr8—O5	93.39 (4)
O5ⁱⁱ—Pr3—O21ⁱ	77.54 (7)	O27^ix—Pr8—O11^iv	57.68 (6)
O28ⁱ—Pr3—O21ⁱ	103.22 (7)	O21^vii—Pr8—O11^iv	96.93 (6)
O6^iv—Pr3—O21ⁱ	121.28 (6)	O9ⁱⁱ—Pr8—O11^iv	125.09 (6)
O19ⁱ—Pr3—O21ⁱ	66.59 (6)	O3—Pr8—O11^iv	52.83 (6)
O5ⁱⁱ—Pr3—O10	118.03 (7)	O7ⁱⁱ—Pr8—O11^iv	129.91 (6)
O28ⁱ—Pr3—O10	61.25 (6)	O20^vii—Pr8—O11^iv	153.60 (5)
O6^iv—Pr3—O10	66.35 (6)	O24^vii—Pr8—O11^iv	96.83 (5)
O19ⁱ—Pr3—O10	107.91 (6)	O4ⁱⁱ—Pr8—O11^iv	86.23 (5)
O21ⁱ—Pr3—O10	162.66 (6)	O1—Pr8—O11^iv	48.79 (5)
O5ⁱⁱ—Pr3—O1ⁱⁱ	66.50 (6)	Mo2ⁱⁱ—Pr8—O11^iv	121.40 (3)
O28ⁱ—Pr3—O1ⁱⁱ	71.44 (7)	O5—Pr8—O11^iv	89.18 (5)
O6^iv—Pr3—O1ⁱⁱ	164.96 (7)	O1—Mo1—O4	90.21 (9)
O19ⁱ—Pr3—O1ⁱⁱ	124.77 (6)	O1—Mo1—O3	93.74 (9)
O21ⁱ—Pr3—O1ⁱⁱ	61.64 (6)	O4—Mo1—O3	169.69 (8)
O10—Pr3—O1ⁱⁱ	115.58 (6)	O1—Mo1—O2	171.74 (8)
O5ⁱⁱ—Pr3—O8^iv	64.79 (7)	O4—Mo1—O2	89.51 (9)
O28ⁱ—Pr3—O8^iv	106.97 (7)	O3—Mo1—O2	85.22 (8)
O6^iv—Pr3—O8^iv	61.22 (6)	O1—Mo1—O5	88.83 (8)
O19ⁱ—Pr3—O8^iv	125.94 (6)	O4—Mo1—O5	85.93 (8)
O21ⁱ—Pr3—O8^iv	141.59 (6)	O3—Mo1—O5	84.64 (8)
O10—Pr3—O8^iv	55.39 (6)	O2—Mo1—O5	82.92 (8)
O1ⁱⁱ—Pr3—O8^iv	106.69 (6)	O7—Mo2—O8	96.31 (9)
O5ⁱⁱ—Pr3—O22ⁱ	61.50 (6)	O7—Mo2—O4	90.68 (9)
O28ⁱ—Pr3—O22ⁱ	157.42 (6)	O8—Mo2—O4	168.06 (9)
O6^iv—Pr3—O22ⁱ	68.85 (6)	O7—Mo2—O6	169.07 (8)
O19ⁱ—Pr3—O22ⁱ	58.31 (6)	O8—Mo2—O6	85.49 (9)
O21ⁱ—Pr3—O22ⁱ	58.19 (6)	O4—Mo2—O6	85.86 (9)
O10—Pr3—O22ⁱ	134.41 (5)	O7—Mo2—O9	83.26 (8)
O1ⁱⁱ—Pr3—O22ⁱ	105.53 (6)	O8—Mo2—O9	82.55 (8)
O8^iv—Pr3—O22ⁱ	95.39 (6)	O4—Mo2—O9	88.70 (8)
O5ⁱⁱ—Pr3—O23ⁱⁱⁱ	131.48 (6)	O6—Mo2—O9	86.30 (8)
O28ⁱ—Pr3—O23ⁱⁱⁱ	57.46 (6)	O12—Mo3—O2	92.52 (8)
O6^iv—Pr3—O23ⁱⁱⁱ	116.05 (6)	O12—Mo3—O7	85.81 (8)
O19ⁱ—Pr3—O23ⁱⁱⁱ	57.29 (6)	O2—Mo3—O7	88.20 (8)
O21ⁱ—Pr3—O23ⁱⁱⁱ	56.20 (6)	O12—Mo3—O10	91.26 (8)
O10—Pr3—O23ⁱⁱⁱ	106.66 (5)	O2—Mo3—O10	84.33 (8)
O1ⁱⁱ—Pr3—O23ⁱⁱⁱ	78.28 (6)	O7—Mo3—O10	171.84 (8)
O8^iv—Pr3—O23ⁱⁱⁱ	161.96 (5)	O12—Mo3—O11	85.92 (8)
O22ⁱ—Pr3—O23ⁱⁱⁱ	99.97 (5)	O2—Mo3—O11	174.12 (8)
O5ⁱⁱ—Pr3—O4ⁱⁱ	58.38 (6)	O7—Mo3—O11	86.04 (8)
O28ⁱ—Pr3—O4ⁱⁱ	77.51 (6)	O10—Mo3—O11	101.36 (8)
O6^iv—Pr3—O4ⁱⁱ	115.52 (6)	O13—Mo4—O1	89.13 (8)
O19ⁱ—Pr3—O4ⁱⁱ	177.68 (6)	O13—Mo4—O11^iv	87.65 (9)
O21ⁱ—Pr3—O4ⁱⁱ	111.58 (6)	O1—Mo4—O11^iv	85.76 (8)
O10—Pr3—O4ⁱⁱ	74.26 (5)	O13—Mo4—O6	90.85 (9)
O1ⁱⁱ—Pr3—O4ⁱⁱ	54.08 (6)	O1—Mo4—O6	84.84 (8)
O8^iv—Pr3—O4ⁱⁱ	54.48 (5)	O11^iv—Mo4—O6	170.50 (8)
O22ⁱ—Pr3—O4ⁱⁱ	119.64 (5)	O13—Mo4—O10^iv	87.45 (8)
O23ⁱⁱⁱ—Pr3—O4ⁱⁱ	123.16 (5)	O1—Mo4—O10^iv	171.74 (8)
O18—Pr4—O26ⁱ	123.01 (7)	O11^iv—Mo4—O10^iv	101.60 (7)
O18—Pr4—O13^iv	132.96 (8)	O6—Mo4—O10^iv	87.69 (8)
O26ⁱ—Pr4—O13^iv	66.63 (7)	O8^iv—Mo5—O11^iv	90.91 (9)
O18—Pr4—O12	75.77 (7)	O8^iv—Mo5—O3	89.91 (8)
O26ⁱ—Pr4—O12	126.69 (7)	O11^iv—Mo5—O3	86.69 (8)
O13^iv—Pr4—O12	66.55 (7)	O8^iv—Mo5—O10	80.79 (8)
O18—Pr4—O28ⁱ	116.60 (7)	O11^iv—Mo5—O10	168.31 (8)
O26ⁱ—Pr4—O28ⁱ	111.05 (7)	O3—Mo5—O10	85.09 (8)
O13^iv—Pr4—O28ⁱ	96.05 (7)	O14—Mo6—O17	94.99 (9)
O12—Pr4—O28ⁱ	97.80 (7)	O14—Mo6—O15	172.30 (8)
O18—Pr4—O25ⁱⁱⁱ	75.56 (7)	O17—Mo6—O15	86.89 (9)
O26ⁱ—Pr4—O25ⁱⁱⁱ	61.52 (6)	O14—Mo6—O16	91.07 (9)
O13^iv—Pr4—O25ⁱⁱⁱ	127.77 (6)	O17—Mo6—O16	169.53 (8)
O12—Pr4—O25ⁱⁱⁱ	148.06 (7)	O15—Mo6—O16	86.01 (8)
O28ⁱ—Pr4—O25ⁱⁱⁱ	107.41 (7)	O14—Mo6—O18	82.97 (8)
O18—Pr4—O18^v	73.76 (7)	O17—Mo6—O18	87.88 (8)
O26ⁱ—Pr4—O18^v	64.37 (6)	O15—Mo6—O18	89.65 (8)
O13^iv—Pr4—O18^v	71.75 (7)	O16—Mo6—O18	84.39 (8)
O12—Pr4—O18^v	77.96 (6)	O17—Mo7—O20	91.42 (9)
O28ⁱ—Pr4—O18^v	167.80 (6)	O17—Mo7—O19	94.23 (9)
O25ⁱⁱⁱ—Pr4—O18^v	80.80 (6)	O20—Mo7—O19	169.39 (8)
O18—Pr4—O23ⁱⁱⁱ	123.28 (6)	O17—Mo7—O21	169.19 (8)
O26ⁱ—Pr4—O23ⁱⁱⁱ	61.01 (6)	O20—Mo7—O21	86.37 (8)
O13^iv—Pr4—O23ⁱⁱⁱ	102.05 (7)	O19—Mo7—O21	86.41 (8)
O12—Pr4—O23ⁱⁱⁱ	154.05 (6)	O17—Mo7—O22	83.83 (8)
O28ⁱ—Pr4—O23ⁱⁱⁱ	59.01 (6)	O20—Mo7—O22	85.49 (8)
O25ⁱⁱⁱ—Pr4—O23ⁱⁱⁱ	57.50 (6)	O19—Mo7—O22	86.20 (8)
O18^v—Pr4—O23ⁱⁱⁱ	122.07 (6)	O21—Mo7—O22	85.45 (8)
O18—Pr4—O14	55.49 (6)	O25—Mo8—O15	92.08 (8)
O26ⁱ—Pr4—O14	120.34 (6)	O25—Mo8—O20	91.90 (8)
O13^iv—Pr4—O14	166.13 (7)	O15—Mo8—O20	92.72 (8)
O12—Pr4—O14	111.11 (6)	O25—Mo8—O24	85.85 (8)
O28ⁱ—Pr4—O14	70.44 (6)	O15—Mo8—O24	172.66 (8)
O25ⁱⁱⁱ—Pr4—O14	61.83 (6)	O20—Mo8—O24	80.33 (8)
O18^v—Pr4—O14	121.76 (6)	O25—Mo8—O23	85.50 (8)
O23ⁱⁱⁱ—Pr4—O14	74.09 (5)	O15—Mo8—O23	83.56 (8)
O18—Pr4—O17	56.09 (6)	O20—Mo8—O23	175.37 (8)
O26ⁱ—Pr4—O17	171.82 (6)	O24—Mo8—O23	103.26 (8)
O13^iv—Pr4—O17	120.52 (6)	O26—Mo9—O19	85.50 (8)
O12—Pr4—O17	61.48 (6)	O26—Mo9—O14	86.05 (8)
O28ⁱ—Pr4—O17	65.61 (6)	O19—Mo9—O14	86.13 (8)
O25ⁱⁱⁱ—Pr4—O17	111.66 (6)	O26—Mo9—O23^xii	88.03 (8)
O18^v—Pr4—O17	120.47 (6)	O19—Mo9—O23^xii	85.27 (8)
O23ⁱⁱⁱ—Pr4—O17	111.96 (5)	O14—Mo9—O23^xii	169.91 (8)
O14—Pr4—O17	51.77 (5)	O26—Mo9—O24^xii	89.13 (8)
O18—Pr4—O10	123.77 (6)	O19—Mo9—O24^xii	170.52 (8)
O26ⁱ—Pr4—O10	109.97 (6)	O14—Mo9—O24^xii	85.71 (8)
O13^iv—Pr4—O10	54.02 (6)	O23^xii—Mo9—O24^xii	102.38 (8)
O12—Pr4—O10	57.27 (6)	O16^xii—Mo10—O21	90.25 (8)
O28ⁱ—Pr4—O10	50.75 (6)	O16^xii—Mo10—O23^xii	85.71 (8)
O25ⁱⁱⁱ—Pr4—O10	154.38 (5)	O21—Mo10—O23^xii	84.30 (8)
O18^v—Pr4—O10	118.81 (5)	O16^xii—Mo10—O24	85.99 (8)
O23ⁱⁱⁱ—Pr4—O10	96.94 (5)	O21—Mo10—O24	87.67 (8)
O14—Pr4—O10	112.67 (5)	O23^xii—Mo10—O24	168.42 (8)
O17—Pr4—O10	74.12 (5)	O5^vii—Mo11—O5	180.000 (1)
O8ⁱⁱ—Pr5—O27^vi	97.98 (8)	O5^vii—Mo11—O9^xiii	91.74 (8)
O8ⁱⁱ—Pr5—O20^vii	117.25 (7)	O5—Mo11—O9^xiii	88.26 (8)
O27^vi—Pr5—O20^vii	86.91 (8)	O5^vii—Mo11—O9ⁱⁱ	88.26 (8)
O8ⁱⁱ—Pr5—O2^vii	122.07 (7)	O5—Mo11—O9ⁱⁱ	91.74 (8)
O27^vi—Pr5—O2^vii	94.65 (7)	O9^xiii—Mo11—O9ⁱⁱ	180.00 (6)
O20^vii—Pr5—O2^vii	119.72 (7)	O5^vii—Mo11—O22	91.39 (8)
O8ⁱⁱ—Pr5—O22^vii	122.38 (7)	O5—Mo11—O22	88.61 (8)
O27^vi—Pr5—O22^vii	138.92 (7)	O9^xiii—Mo11—O22	89.70 (9)
O20^vii—Pr5—O22^vii	68.98 (7)	O9ⁱⁱ—Mo11—O22	90.30 (9)
O2^vii—Pr5—O22^vii	71.56 (7)	O5^vii—Mo11—O22^vii	88.61 (8)
O8ⁱⁱ—Pr5—O5^vii	69.86 (7)	O5—Mo11—O22^vii	91.39 (8)
O27^vi—Pr5—O5^vii	144.73 (7)	O9^xiii—Mo11—O22^vii	90.30 (9)
O20^vii—Pr5—O5^vii	128.29 (7)	O9ⁱⁱ—Mo11—O22^vii	89.70 (9)
O2^vii—Pr5—O5^vii	67.77 (7)	O22—Mo11—O22^vii	180.0

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

Experimental details

Crystal data
Chemical formula	Pr₁₆Mo₂₁O₅₆
M_r	5165.30
Crystal system, space group	Monoclinic, P2₁/c
Temperature (K)	293
a, b, c (Å)	13.427 (3), 13.3935 (16), 13.318 (3)
β (°)	100.102 (13)
V (Å³)	2357.9 (8)
Z	2
Radiation type	Mo Kα
µ (mm⁻¹)	21.65
Crystal size (mm)	0.10 × 0.07 × 0.03

Data collection
Diffractometer	Nonius KappaCCD diffractometer
Absorption correction	Multi-scan (PLATON; Spek, 2009)
T_min, T_max	0.060, 0.216
No. of measured, independent and observed [I > 2σ(I)] reflections	97514, 18339, 15545
R_int	0.040
(sin θ/λ)_max (Å⁻¹)	0.978

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.025, 0.049, 1.13
No. of reflections	18339
No. of parameters	422
	w = 1/[σ²(F_o²) + (0.0113P)² + 11.0419P] where P = (F_o² + 2F_c²)/3
Δρ_max, Δρ_min (e Å⁻³)	2.19, −2.34

Computer programs: COLLECT (Nonius, 1998), EVALCCD (Duisenberg et al., 20033), SIR97 (Altomare et al., 1999), SHELXL97 (Sheldrick, 2008), DIAMOND (Bergerhoff, 1996).

Selected bond lengths (Å) top

Pr1—O28ⁱ	2.320 (2)	Mo1—Mo4	2.7048 (6)
Pr1—O22	2.358 (2)	Mo1—Mo5	2.7050 (4)
Pr1—O3	2.489 (2)	Mo1—Mo3	2.8049 (7)
Pr1—O2	2.497 (2)	Mo2—O7	1.973 (2)
Pr1—O6ⁱⁱ	2.599 (2)	Mo2—O8	1.979 (2)
Pr1—O10	2.628 (2)	Mo2—O4	2.008 (2)
Pr1—O4ⁱⁱ	2.695 (2)	Mo2—O6	2.019 (2)
Pr1—O9ⁱⁱ	2.897 (2)	Mo2—O9	2.159 (2)
Pr1—O17	3.012 (2)	Mo2—Mo5^iv	2.7076 (5)
Pr1—O19	3.212 (2)	Mo2—Mo3	2.7191 (4)
Pr2—O13ⁱⁱ	2.313 (2)	Mo2—Mo4	2.7525 (5)
Pr2—O26	2.382 (2)	Mo3—O12	2.032 (2)
Pr2—O28ⁱ	2.392 (2)	Mo3—O2	2.0508 (19)
Pr2—O16ⁱⁱⁱ	2.461 (2)	Mo3—O7	2.077 (2)
Pr2—O15ⁱⁱⁱ	2.513 (2)	Mo3—O10	2.095 (2)
Pr2—O23ⁱⁱⁱ	2.6186 (19)	Mo3—O11	2.0981 (19)
Pr2—O14	2.675 (2)	Mo3—Mo4^iv	2.6477 (4)
Pr2—O19	2.739 (2)	Mo3—Mo5	2.7423 (5)
Pr2—O1ⁱⁱ	2.914 (2)	Mo3—Mo5^iv	2.7819 (6)
Pr3—O5ⁱⁱ	2.378 (2)	Mo4—O13	1.963 (2)
Pr3—O28ⁱ	2.396 (2)	Mo4—O1	2.083 (2)
Pr3—O6^iv	2.428 (2)	Mo4—O11^iv	2.088 (2)
Pr3—O19ⁱ	2.497 (2)	Mo4—O6	2.088 (2)
Pr3—O21ⁱ	2.499 (2)	Mo4—O10^iv	2.0982 (19)
Pr3—O10	2.835 (2)	Mo4—Mo3^iv	2.6477 (4)
Pr3—O1ⁱⁱ	2.836 (2)	Mo4—Mo5^iv	2.7530 (6)
Pr3—O8^iv	2.854 (2)	Mo4—Mo5	2.7756 (4)
Pr3—O22ⁱ	3.166 (2)	Mo5—O8^iv	2.018 (2)
Pr3—O23ⁱⁱⁱ	3.225 (2)	Mo5—O11^iv	2.045 (2)
Pr3—O4ⁱⁱ	3.253 (2)	Mo5—O3	2.0506 (19)
Pr4—O18	2.360 (2)	Mo5—O10	2.061 (2)
Pr4—O26ⁱ	2.3740 (19)	Mo5—Mo2^iv	2.7076 (5)
Pr4—O13^iv	2.399 (2)	Mo5—Mo4^iv	2.7530 (6)
Pr4—O12	2.437 (2)	Mo5—Mo3^iv	2.7819 (6)
Pr4—O28ⁱ	2.563 (2)	Mo5—Mo5^iv	2.8260 (6)
Pr4—O25ⁱⁱⁱ	2.723 (2)	Mo6—O14	1.955 (2)
Pr4—O18^v	2.854 (2)	Mo6—O17	1.987 (2)
Pr4—O23ⁱⁱⁱ	3.051 (2)	Mo6—O15	2.016 (2)
Pr4—O14	3.235 (2)	Mo6—O16	2.025 (2)
Pr4—O17	3.411 (2)	Mo6—O18	2.143 (2)
Pr4—O10	3.439 (2)	Mo6—Mo7	2.6087 (6)
Pr5—O8ⁱⁱ	2.293 (2)	Mo6—Mo9	2.7077 (4)
Pr5—O27^vi	2.293 (2)	Mo6—Mo10^xii	2.7396 (6)
Pr5—O20^vii	2.364 (2)	Mo6—Mo8	2.7987 (5)
Pr5—O2^vii	2.372 (2)	Mo7—O17	1.980 (2)
Pr5—O22^vii	2.572 (2)	Mo7—O20	1.991 (2)
Pr5—O5^vii	2.629 (2)	Mo7—O19	1.991 (2)
Pr5—O9ⁱⁱ	2.841 (2)	Mo7—O21	2.0146 (19)
Pr5—O4^vii	3.005 (2)	Mo7—O22	2.133 (2)
Pr5—O17^vii	3.128 (2)	Mo7—Mo10	2.7151 (6)
Pr6—O25ⁱⁱ	2.226 (2)	Mo7—Mo9	2.7257 (5)
Pr6—O11^iv	2.367 (2)	Mo7—Mo8	2.7514 (4)
Pr6—O16^viii	2.3794 (19)	Mo8—O25	2.025 (2)
Pr6—O12^iv	2.485 (2)	Mo8—O15	2.0509 (19)
Pr6—O18^viii	2.602 (2)	Mo8—O20	2.075 (2)
Pr6—O14^viii	2.752 (2)	Mo8—O24	2.0843 (19)
Pr6—O27^ix	2.753 (2)	Mo8—O23	2.088 (2)
Pr6—O13	2.797 (2)	Mo8—Mo9^xii	2.6006 (6)
Pr7—O12	2.331 (2)	Mo8—Mo10^xii	2.7556 (5)
Pr7—O26^x	2.352 (2)	Mo8—Mo10	2.7648 (4)
Pr7—O15	2.442 (2)	Mo9—O26	1.955 (2)
Pr7—O25^xi	2.465 (2)	Mo9—O19	2.064 (2)
Pr7—O27ⁱ	2.474 (2)	Mo9—O14	2.084 (2)
Pr7—O24^xi	2.598 (2)	Mo9—O23^xii	2.0935 (19)
Pr7—O18	2.675 (2)	Mo9—O24^xii	2.105 (2)
Pr7—O17	2.810 (2)	Mo9—Mo8^xii	2.6006 (6)
Pr7—O7	3.128 (2)	Mo9—Mo10	2.7168 (5)
Pr8—O27^ix	2.309 (2)	Mo9—Mo10^xii	2.7422 (4)
Pr8—O21^vii	2.384 (2)	Mo10—O16^xii	2.0182 (19)
Pr8—O9ⁱⁱ	2.389 (2)	Mo10—O21	2.062 (2)
Pr8—O3	2.442 (2)	Mo10—O23^xii	2.066 (2)
Pr8—O7ⁱⁱ	2.509 (2)	Mo10—O24	2.086 (2)
Pr8—O20^vii	2.700 (2)	Mo10—Mo6^xii	2.7396 (6)
Pr8—O24^vii	2.708 (2)	Mo10—Mo9^xii	2.7422 (4)
Pr8—O4ⁱⁱ	3.235 (2)	Mo10—Mo8^xii	2.7556 (5)
Pr8—O1	3.360 (2)	Mo10—Mo10^xii	2.8525 (7)
Mo1—O1	1.939 (2)	Mo11—O5^vii	2.024 (2)
Mo1—O4	2.004 (2)	Mo11—O5	2.024 (2)
Mo1—O3	2.009 (2)	Mo11—O9^xiii	2.027 (2)
Mo1—O2	2.046 (2)	Mo11—O9ⁱⁱ	2.027 (2)
Mo1—O5	2.175 (2)	Mo11—O22	2.048 (2)
Mo1—Mo2	2.6435 (5)	Mo11—O22^vii	2.048 (2)

Acknowledgements

Intensity data were collected on the Nonius KappaCCD X-ray diffactometer system of the Centre de diffractométrie de l'Université de Rennes I (www.cdifx.univ-rennes1.fr).

References

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