Pentapotassium sodium hexasulfatodicerate(III)

K₅Na[Ce₂(SO₄)₆] contains two Ce^III ions, cross-linked via two oxy­gen and four sulfate bridges, a unique configuration for cerium sulfates. Each cerium is (8 + 2)-coordinated by O atoms of four sulfate groups by bidentate linkages.

Key indicators

• Single-crystal X-ray study
• T = 173 K
• Mean [sigma](S-O) = 0.002 Å
• R factor = 0.020
• wR factor = 0.051
• Data-to-parameter ratio = 21.0

checkCIF/PLATON results

No syntax errors found



Alert level B
PLAT731_ALERT_1_B Bond    Calc 3.86040(10), Rep   3.8603(6) ......       6.00 su-Rat
              NA1  -K2      1.555   1.554

Alert level C
PLAT029_ALERT_3_C _diffrn_measured_fraction_theta_full Low .......       0.99
PLAT042_ALERT_1_C Calc. and Rep. MoietyFormula Strings Differ ....          ?

   0 ALERT level A = In general: serious problem
   1 ALERT level B = Potentially serious problem
   2 ALERT level C = Check and explain
   0 ALERT level G = General alerts; check

   2 ALERT type 1 CIF construction/syntax error, inconsistent or missing data
   0 ALERT type 2 Indicator that the structure model may be wrong or deficient
   1 ALERT type 3 Indicator that the structure quality may be low
   0 ALERT type 4 Improvement, methodology, query or suggestion

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Computing details

Data collection: SMART (Siemens, 1995); cell refinement: SAINT (Siemens, 1995); data reduction: SAINT (Siemens, 1995) and SADABS (Sheldrick, 2002); program(s) used to solve structure: SHELXTL (Bruker, 2001); program(s) used to refine structure: SHELXTL; molecular graphics: DIAMOND (Brandenburg, 2000); software used to prepare material for publication: SHELXTL.

pentapotassium sodium hexasulfatodicerate(III)

Crystal data

K5Na[Ce2(SO4)6]	F(000) = 1020
Mr = 1075.09	Dx = 3.286 Mg m^−3
Monoclinic, C2/m	Mo Kα radiation, λ = 0.71073 Å
Hall symbol: -C 2y	Cell parameters from 7272 reflections
a = 9.2117 (2) Å	θ = 2.5–32.9°
b = 16.3725 (4) Å	µ = 5.81 mm^−1
c = 7.7207 (2) Å	T = 173 K
β = 111.059 (1)°	Plate, yellow
V = 1086.65 (5) Å^3	0.30 × 0.10 × 0.05 mm
Z = 2

Data collection

Siemens SMART 1K CCD area-detector diffractometer	1998 independent reflections
Radiation source: fine-focus sealed tube	1852 reflections with I > 2σ(I)
Graphite monochromator	Rint = 0.032
ω scans	θmax = 32.9°, θmin = 2.5°
Absorption correction: multi-scan (SADABS; Sheldrick, 2002)	h = −14→13
Tmin = 0.269, Tmax = 0.745	k = −24→24
9019 measured reflections	l = −11→11

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	Primary atom site location: heavy-atom method
R[F^2 > 2σ(F^2)] = 0.020	Secondary atom site location: difference Fourier map
wR(F^2) = 0.051	w = 1/[σ^2(Fo^2) + (0.0262P)^2 + 2.4852P] where P = (Fo^2 + 2Fc^2)/3
S = 1.06	(Δ/σ)max = 0.003
1998 reflections	Δρmax = 1.28 e Å^−3
95 parameters	Δρmin = −1.87 e Å^−3

Special details

Experimental. Data were collected at low temperature using a Siemens SMART CCD diffractometer equiped with a LT-2 device. A full sphere of reciprocal space was scanned by 0.3° steps in ω with a crystal–to–detector distance of 3.97 cm, 20 s per frame. Preliminary orientation matrix was obtained from the first 100 frames using SMART (Siemens, 1995). The collected frames were integrated using the preliminary orientation matrix which was updated every 100 frames. Final cell parameters were obtained by refinement on the position of 7272 reflections with I>10σ(I) after integration of all the frames data using SAINT (Siemens, 1995).

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

	x	y	z	Uiso*/Ueq
Ce1	0.5000	0.356299 (10)	0.5000	0.00625 (5)
S1	0.59615 (8)	0.5000	0.80690 (10)	0.00636 (12)
S2	0.12449 (6)	0.33454 (3)	0.31516 (7)	0.00739 (10)
O1	0.7305 (3)	0.5000	0.9799 (3)	0.0097 (4)
O2	0.49980 (18)	0.42535 (10)	0.7920 (2)	0.0091 (3)
O3	0.0339 (2)	0.25857 (10)	0.3055 (2)	0.0136 (3)
O4	0.6430 (3)	0.5000	0.6407 (3)	0.0108 (4)
O5	0.24202 (19)	0.31954 (10)	0.2271 (2)	0.0106 (3)
O6	0.2146 (2)	0.35751 (11)	0.5105 (2)	0.0137 (3)
O7	0.01700 (19)	0.39974 (10)	0.2218 (2)	0.0111 (3)
K1	0.72215 (6)	0.34357 (3)	0.11773 (7)	0.01226 (9)
K2	0.0000	0.5000	0.5000	0.0432 (5)
Na1	0.0000	0.5000	0.0000	0.0085 (3)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Ce1	0.00649 (8)	0.00635 (8)	0.00592 (8)	0.000	0.00224 (5)	0.000
S1	0.0060 (3)	0.0060 (3)	0.0067 (3)	0.000	0.0018 (2)	0.000
S2	0.0070 (2)	0.0067 (2)	0.0085 (2)	0.00001 (16)	0.00274 (17)	0.00162 (17)
O1	0.0071 (9)	0.0096 (10)	0.0093 (10)	0.000	−0.0010 (8)	0.000
O2	0.0098 (7)	0.0073 (6)	0.0115 (7)	−0.0033 (5)	0.0052 (6)	−0.0016 (6)
O3	0.0116 (7)	0.0091 (7)	0.0201 (8)	−0.0027 (6)	0.0057 (6)	0.0030 (6)
O4	0.0115 (10)	0.0123 (10)	0.0108 (10)	0.000	0.0065 (8)	0.000
O5	0.0092 (7)	0.0114 (7)	0.0128 (7)	−0.0004 (6)	0.0059 (6)	−0.0012 (6)
O6	0.0122 (8)	0.0196 (9)	0.0081 (7)	−0.0011 (6)	0.0022 (6)	0.0000 (6)
O7	0.0097 (7)	0.0101 (7)	0.0130 (7)	0.0020 (6)	0.0035 (6)	0.0035 (6)
K1	0.0122 (2)	0.0130 (2)	0.0123 (2)	0.00213 (16)	0.00534 (17)	0.00281 (16)
K2	0.1001 (15)	0.0135 (5)	0.0316 (7)	0.000	0.0426 (9)	0.000
Na1	0.0096 (8)	0.0092 (8)	0.0091 (8)	0.000	0.0061 (6)	0.000

Geometric parameters (Å, º)

Ce1—O3^i	2.4953 (17)	O6—K1^iii	2.7251 (17)
Ce1—O3^ii	2.4953 (17)	O6—K2	3.0400 (18)
Ce1—O2^iii	2.5225 (16)	O7—Na1	2.3363 (16)
Ce1—O2	2.5225 (16)	O7—K1^viii	2.7018 (17)
Ce1—O5	2.6172 (17)	O7—K2	2.7523 (17)
Ce1—O5^iii	2.6172 (17)	K1—O7^xii	2.7018 (17)
Ce1—O6^iii	2.6594 (18)	K1—O6^iii	2.7252 (17)
Ce1—O6	2.6594 (18)	K1—O2^iii	2.7355 (16)
Ce1—O4^iv	2.7244 (12)	K1—O1^xiii	2.7849 (10)
Ce1—O4	2.7244 (12)	K1—O5^i	2.7872 (17)
Ce1—S1^iv	3.2289 (5)	K1—O5^xi	2.8259 (17)
Ce1—S1	3.2289 (5)	K1—O2^xiii	2.9344 (17)
S1—O1	1.459 (2)	K1—O3^xii	3.0484 (18)
S1—O2^v	1.4904 (16)	K1—O3^i	3.1165 (19)
S1—O2	1.4904 (16)	K1—S1^xiii	3.4152 (7)
S1—O4	1.494 (2)	K1—S2^xii	3.4672 (7)
S1—Ce1^iv	3.2289 (5)	K1—S2^i	3.5529 (7)
S1—K1^vi	3.4152 (7)	K2—O7^xiv	2.7523 (17)
S1—K1^vii	3.4153 (7)	K2—O7^v	2.7523 (17)
S2—O7	1.4583 (17)	K2—O7^xv	2.7523 (17)
S2—O3	1.4849 (17)	K2—O6^v	3.0401 (18)
S2—O6	1.4853 (18)	K2—O6^xiv	3.0401 (18)
S2—O5	1.4909 (17)	K2—O6^xv	3.0401 (18)
S2—K2	3.4447 (5)	K2—S2^xiv	3.4446 (5)
S2—K1^viii	3.4672 (7)	K2—S2^v	3.4446 (5)
S2—K1^ix	3.5528 (7)	K2—S2^xv	3.4447 (5)
O1—Na1^x	2.431 (2)	Na1—O7^v	2.3363 (16)
O1—K1^vi	2.7849 (10)	Na1—O7^xvi	2.3363 (16)
O1—K1^vii	2.7849 (10)	Na1—O7^xvii	2.3364 (16)
O2—K1^iii	2.7355 (16)	Na1—O1^iv	2.431 (2)
O2—K1^vii	2.9344 (17)	Na1—O1^xviii	2.431 (2)
O3—Ce1^ii	2.4953 (17)	Na1—K2^xiii	3.8603 (6)
O3—K1^viii	3.0483 (18)	Na1—K1^xix	3.9507 (5)
O3—K1^ix	3.1165 (19)	Na1—K1^xx	3.9507 (5)
O4—Ce1^iv	2.7244 (12)	Na1—K1^viii	3.9507 (5)
O5—K1^ix	2.7872 (17)	Na1—K1^xi	3.9507 (5)
O5—K1^xi	2.8259 (17)
O3^i—Ce1—O3^ii	82.18 (8)	O5^i—K1—O2^xiii	130.28 (5)
O3^i—Ce1—O2^iii	76.08 (6)	O5^xi—K1—O2^xiii	62.47 (5)
O3^ii—Ce1—O2^iii	156.36 (6)	O7^xii—K1—O3^xii	48.66 (5)
O3^i—Ce1—O2	156.36 (6)	O6^iii—K1—O3^xii	74.28 (5)
O3^ii—Ce1—O2	76.08 (6)	O2^iii—K1—O3^xii	139.90 (5)
O2^iii—Ce1—O2	126.75 (7)	O1^xiii—K1—O3^xii	116.80 (6)
O3^i—Ce1—O5	67.42 (5)	O5^i—K1—O3^xii	58.02 (5)
O3^ii—Ce1—O5	92.14 (5)	O5^xi—K1—O3^xii	88.60 (5)
O2^iii—Ce1—O5	71.08 (5)	O2^xiii—K1—O3^xii	149.77 (5)
O2—Ce1—O5	122.03 (5)	O7^xii—K1—O3^i	135.42 (5)
O3^i—Ce1—O5^iii	92.14 (5)	O6^iii—K1—O3^i	59.95 (5)
O3^ii—Ce1—O5^iii	67.42 (5)	O2^iii—K1—O3^i	63.40 (5)
O2^iii—Ce1—O5^iii	122.03 (5)	O1^xiii—K1—O3^i	140.14 (6)
O2—Ce1—O5^iii	71.08 (5)	O5^i—K1—O3^i	48.07 (5)
O5—Ce1—O5^iii	153.41 (7)	O5^xi—K1—O3^i	129.53 (5)
O3^i—Ce1—O6^iii	69.41 (5)	O2^xiii—K1—O3^i	108.04 (5)
O3^ii—Ce1—O6^iii	111.27 (6)	O3^xii—K1—O3^i	96.91 (4)
O2^iii—Ce1—O6^iii	69.58 (5)	O7^xii—K1—S1^xiii	90.30 (4)
O2—Ce1—O6^iii	110.01 (5)	O6^iii—K1—S1^xiii	124.56 (4)
O5—Ce1—O6^iii	126.78 (5)	O2^iii—K1—S1^xiii	73.48 (4)
O5^iii—Ce1—O6^iii	53.46 (5)	O1^xiii—K1—S1^xiii	24.64 (4)
O3^i—Ce1—O6	111.27 (6)	O5^i—K1—S1^xiii	154.19 (4)
O3^ii—Ce1—O6	69.41 (5)	O5^xi—K1—S1^xiii	64.38 (4)
O2^iii—Ce1—O6	110.01 (5)	O2^xiii—K1—S1^xiii	25.75 (3)
O2—Ce1—O6	69.58 (5)	O3^xii—K1—S1^xiii	134.49 (4)
O5—Ce1—O6	53.46 (5)	O3^i—K1—S1^xiii	128.60 (4)
O5^iii—Ce1—O6	126.78 (5)	O7^xii—K1—S2^xii	23.40 (4)
O6^iii—Ce1—O6	179.15 (8)	O6^iii—K1—S2^xii	75.54 (4)
O3^i—Ce1—O4^iv	123.92 (6)	O2^iii—K1—S2^xii	133.44 (4)
O3^ii—Ce1—O4^iv	138.05 (6)	O1^xiii—K1—S2^xii	92.02 (5)
O2^iii—Ce1—O4^iv	54.00 (6)	O5^i—K1—S2^xii	83.25 (4)
O2—Ce1—O4^iv	79.27 (6)	O5^xi—K1—S2^xii	86.56 (4)
O5—Ce1—O4^iv	73.05 (6)	O2^xiii—K1—S2^xii	134.66 (4)
O5^iii—Ce1—O4^iv	133.52 (6)	O3^xii—K1—S2^xii	25.31 (3)
O6^iii—Ce1—O4^iv	108.85 (6)	O3^i—K1—S2^xii	117.27 (4)
O6—Ce1—O4^iv	70.37 (6)	S1^xiii—K1—S2^xii	112.37 (2)
O3^i—Ce1—O4	138.05 (6)	O7^xii—K1—S2^i	122.29 (4)
O3^ii—Ce1—O4	123.92 (6)	O6^iii—K1—S2^i	66.93 (4)
O2^iii—Ce1—O4	79.27 (6)	O2^iii—K1—S2^i	87.98 (4)
O2—Ce1—O4	54.00 (6)	O1^xiii—K1—S2^i	164.75 (5)
O5—Ce1—O4	133.52 (6)	O5^i—K1—S2^i	23.46 (3)
O5^iii—Ce1—O4	73.05 (6)	O5^xi—K1—S2^i	115.04 (4)
O6^iii—Ce1—O4	70.37 (6)	O2^xiii—K1—S2^i	122.40 (3)
O6—Ce1—O4	108.85 (6)	O3^xii—K1—S2^i	76.21 (3)
O4^iv—Ce1—O4	60.56 (9)	O3^i—K1—S2^i	24.63 (3)
O3^i—Ce1—S1^iv	99.68 (4)	S1^xiii—K1—S2^i	147.40 (2)
O3^ii—Ce1—S1^iv	158.46 (4)	S2^xii—K1—S2^i	99.896 (16)
O2^iii—Ce1—S1^iv	26.58 (4)	O7—K2—O7^xiv	180.0
O2—Ce1—S1^iv	103.96 (4)	O7—K2—O7^v	73.23 (7)
O5—Ce1—S1^iv	69.30 (4)	O7^xiv—K2—O7^v	106.77 (7)
O5^iii—Ce1—S1^iv	133.51 (4)	O7—K2—O7^xv	106.77 (7)
O6^iii—Ce1—S1^iv	89.18 (4)	O7^xiv—K2—O7^xv	73.23 (7)
O6—Ce1—S1^iv	90.20 (4)	O7^v—K2—O7^xv	180.0
O4^iv—Ce1—S1^iv	27.42 (5)	O7—K2—O6	49.03 (5)
O4—Ce1—S1^iv	68.23 (5)	O7^xiv—K2—O6	130.97 (5)
O3^i—Ce1—S1	158.46 (4)	O7^v—K2—O6	105.06 (5)
O3^ii—Ce1—S1	99.68 (4)	O7^xv—K2—O6	74.94 (5)
O2^iii—Ce1—S1	103.96 (4)	O7—K2—O6^v	105.06 (5)
O2—Ce1—S1	26.59 (4)	O7^xiv—K2—O6^v	74.94 (5)
O5—Ce1—S1	133.51 (4)	O7^v—K2—O6^v	49.03 (5)
O5^iii—Ce1—S1	69.30 (4)	O7^xv—K2—O6^v	130.97 (5)
O6^iii—Ce1—S1	90.20 (4)	O6—K2—O6^v	100.25 (7)
O6—Ce1—S1	89.18 (4)	O7—K2—O6^xiv	130.97 (5)
O4^iv—Ce1—S1	68.23 (5)	O7^xiv—K2—O6^xiv	49.03 (5)
O4—Ce1—S1	27.42 (5)	O7^v—K2—O6^xiv	74.94 (5)
S1^iv—Ce1—S1	86.455 (19)	O7^xv—K2—O6^xiv	105.06 (5)
O1—S1—O2^v	110.88 (8)	O6—K2—O6^xiv	180.00 (7)
O1—S1—O2	110.88 (8)	O6^v—K2—O6^xiv	79.76 (7)
O2^v—S1—O2	110.18 (13)	O7—K2—O6^xv	74.94 (5)
O1—S1—O4	112.00 (14)	O7^xiv—K2—O6^xv	105.06 (5)
O2^v—S1—O4	106.35 (8)	O7^v—K2—O6^xv	130.97 (5)
O2—S1—O4	106.35 (8)	O7^xv—K2—O6^xv	49.03 (5)
O1—S1—Ce1^iv	126.21 (4)	O6—K2—O6^xv	79.75 (7)
O2^v—S1—Ce1^iv	49.24 (6)	O6^v—K2—O6^xv	180.0
O2—S1—Ce1^iv	122.83 (7)	O6^xiv—K2—O6^xv	100.25 (7)
O4—S1—Ce1^iv	57.13 (5)	O7—K2—S2^xiv	155.94 (3)
O1—S1—Ce1	126.21 (4)	O7^xiv—K2—S2^xiv	24.06 (3)
O2^v—S1—Ce1	122.83 (7)	O7^v—K2—S2^xiv	88.57 (4)
O2—S1—Ce1	49.24 (6)	O7^xv—K2—S2^xiv	91.43 (4)
O4—S1—Ce1	57.13 (5)	O6—K2—S2^xiv	154.49 (3)
Ce1^iv—S1—Ce1	93.545 (19)	O6^v—K2—S2^xiv	72.27 (3)
O1—S1—K1^vi	52.72 (3)	O6^xiv—K2—S2^xiv	25.51 (3)
O2^v—S1—K1^vi	58.80 (7)	O6^xv—K2—S2^xiv	107.73 (3)
O2—S1—K1^vi	135.38 (7)	O7—K2—S2^v	91.43 (4)
O4—S1—K1^vi	118.26 (5)	O7^xiv—K2—S2^v	88.57 (4)
Ce1^iv—S1—K1^vi	84.469 (9)	O7^v—K2—S2^v	24.06 (3)
Ce1—S1—K1^vi	175.14 (2)	O7^xv—K2—S2^v	155.94 (3)
O1—S1—K1^vii	52.72 (3)	O6—K2—S2^v	107.73 (3)
O2^v—S1—K1^vii	135.38 (7)	O6^v—K2—S2^v	25.51 (3)
O2—S1—K1^vii	58.80 (7)	O6^xiv—K2—S2^v	72.27 (3)
O4—S1—K1^vii	118.26 (5)	O6^xv—K2—S2^v	154.49 (3)
Ce1^iv—S1—K1^vii	175.14 (2)	S2^xiv—K2—S2^v	76.300 (17)
Ce1—S1—K1^vii	84.468 (9)	O7—K2—S2^xv	88.57 (4)
K1^vi—S1—K1^vii	97.16 (2)	O7^xiv—K2—S2^xv	91.43 (4)
O7—S2—O3	108.59 (10)	O7^v—K2—S2^xv	155.94 (3)
O7—S2—O6	110.44 (10)	O7^xv—K2—S2^xv	24.06 (3)
O3—S2—O6	111.23 (10)	O6—K2—S2^xv	72.27 (3)
O7—S2—O5	111.75 (10)	O6^v—K2—S2^xv	154.49 (3)
O3—S2—O5	109.04 (10)	O6^xiv—K2—S2^xv	107.73 (3)
O6—S2—O5	105.80 (10)	O6^xv—K2—S2^xv	25.51 (3)
O7—S2—Ce1	124.25 (7)	S2^xiv—K2—S2^xv	103.700 (17)
O3—S2—Ce1	127.14 (7)	S2^v—K2—S2^xv	180.0
O6—S2—Ce1	53.74 (7)	O7—K2—S2	24.06 (3)
O5—S2—Ce1	52.13 (7)	O7^xiv—K2—S2	155.94 (3)
O7—S2—K2	50.30 (7)	O7^v—K2—S2	91.43 (4)
O3—S2—K2	114.51 (7)	O7^xv—K2—S2	88.57 (4)
O6—S2—K2	61.83 (7)	O6—K2—S2	25.51 (3)
O5—S2—K2	136.28 (7)	O6^v—K2—S2	107.73 (3)
Ce1—S2—K2	101.068 (14)	O6^xiv—K2—S2	154.49 (3)
O7—S2—K1^viii	47.37 (7)	O6^xv—K2—S2	72.27 (3)
O3—S2—K1^viii	61.37 (7)	S2^xiv—K2—S2	180.000 (11)
O6—S2—K1^viii	123.69 (7)	S2^v—K2—S2	103.700 (17)
O5—S2—K1^viii	130.03 (7)	S2^xv—K2—S2	76.300 (17)
Ce1—S2—K1^viii	171.27 (2)	O7—Na1—O7^v	89.27 (8)
K2—S2—K1^viii	71.711 (13)	O7—Na1—O7^xvi	180.0
O7—S2—K1^ix	128.34 (7)	O7^v—Na1—O7^xvi	90.72 (8)
O3—S2—K1^ix	61.00 (7)	O7—Na1—O7^xvii	90.72 (8)
O6—S2—K1^ix	120.55 (7)	O7^v—Na1—O7^xvii	180.0
O5—S2—K1^ix	48.09 (7)	O7^xvi—Na1—O7^xvii	89.28 (8)
Ce1—S2—K1^ix	83.386 (14)	O7—Na1—O1^iv	98.93 (5)
K2—S2—K1^ix	175.236 (18)	O7^v—Na1—O1^iv	98.94 (5)
K1^viii—S2—K1^ix	103.996 (18)	O7^xvi—Na1—O1^iv	81.06 (5)
S1—O1—Na1^x	124.70 (13)	O7^xvii—Na1—O1^iv	81.06 (5)
S1—O1—K1^vi	102.65 (6)	O7—Na1—O1^xviii	81.06 (5)
Na1^x—O1—K1^vi	98.25 (5)	O7^v—Na1—O1^xviii	81.06 (5)
S1—O1—K1^vii	102.65 (6)	O7^xvi—Na1—O1^xviii	98.94 (5)
Na1^x—O1—K1^vii	98.25 (5)	O7^xvii—Na1—O1^xviii	98.94 (5)
K1^vi—O1—K1^vii	133.74 (9)	O1^iv—Na1—O1^xviii	180.00 (11)
S1—O2—Ce1	104.18 (8)	O7—Na1—K2^xiii	135.14 (4)
S1—O2—K1^iii	149.38 (9)	O7^v—Na1—K2^xiii	135.14 (4)
Ce1—O2—K1^iii	104.42 (5)	O7^xvi—Na1—K2^xiii	44.86 (4)
S1—O2—K1^vii	95.46 (8)	O7^xvii—Na1—K2^xiii	44.86 (4)
Ce1—O2—K1^vii	109.70 (6)	O1^iv—Na1—K2^xiii	72.35 (5)
K1^iii—O2—K1^vii	85.05 (5)	O1^xviii—Na1—K2^xiii	107.65 (5)
S2—O3—Ce1^ii	142.25 (11)	O7—Na1—K2	44.86 (4)
S2—O3—K1^viii	93.32 (8)	O7^v—Na1—K2	44.86 (4)
Ce1^ii—O3—K1^viii	109.28 (6)	O7^xvi—Na1—K2	135.14 (4)
S2—O3—K1^ix	94.37 (8)	O7^xvii—Na1—K2	135.14 (4)
Ce1^ii—O3—K1^ix	94.95 (5)	O1^iv—Na1—K2	107.65 (5)
K1^viii—O3—K1^ix	127.62 (6)	O1^xviii—Na1—K2	72.35 (5)
S1—O4—Ce1^iv	95.44 (7)	K2^xiii—Na1—K2	180.0
S1—O4—Ce1	95.44 (7)	O7—Na1—K1^xix	138.22 (4)
Ce1^iv—O4—Ce1	119.44 (9)	O7^v—Na1—K1^xix	80.49 (4)
S2—O5—Ce1	101.15 (8)	O7^xvi—Na1—K1^xix	41.78 (4)
S2—O5—K1^ix	108.46 (8)	O7^xvii—Na1—K1^xix	99.51 (4)
Ce1—O5—K1^ix	113.95 (6)	O1^iv—Na1—K1^xix	44.24 (2)
S2—O5—K1^xi	139.14 (9)	O1^xviii—Na1—K1^xix	135.76 (2)
Ce1—O5—K1^xi	110.29 (6)	K2^xiii—Na1—K1^xix	62.427 (7)
K1^ix—O5—K1^xi	82.24 (5)	K2—Na1—K1^xix	117.573 (7)
S2—O6—Ce1	99.49 (8)	O7—Na1—K1^xx	99.51 (4)
S2—O6—K1^iii	151.45 (10)	O7^v—Na1—K1^xx	41.78 (4)
Ce1—O6—K1^iii	101.07 (6)	O7^xvi—Na1—K1^xx	80.49 (4)
S2—O6—K2	92.65 (8)	O7^xvii—Na1—K1^xx	138.22 (4)
Ce1—O6—K2	130.19 (7)	O1^iv—Na1—K1^xx	135.76 (2)
K1^iii—O6—K2	89.04 (5)	O1^xviii—Na1—K1^xx	44.24 (2)
S2—O7—Na1	137.00 (10)	K2^xiii—Na1—K1^xx	117.573 (7)
S2—O7—K1^viii	109.23 (9)	K2—Na1—K1^xx	62.427 (7)
Na1—O7—K1^viii	103.05 (6)	K1^xix—Na1—K1^xx	99.180 (15)
S2—O7—K2	105.64 (8)	O7—Na1—K1^viii	41.78 (4)
Na1—O7—K2	98.36 (6)	O7^v—Na1—K1^viii	99.51 (4)
K1^viii—O7—K2	95.85 (5)	O7^xvi—Na1—K1^viii	138.22 (4)
O7^xii—K1—O6^iii	81.18 (5)	O7^xvii—Na1—K1^viii	80.49 (4)
O7^xii—K1—O2^iii	121.42 (5)	O1^iv—Na1—K1^viii	135.76 (2)
O6^iii—K1—O2^iii	65.62 (5)	O1^xviii—Na1—K1^viii	44.24 (2)
O7^xii—K1—O1^xiii	68.76 (6)	K2^xiii—Na1—K1^viii	117.573 (8)
O6^iii—K1—O1^xiii	107.49 (6)	K2—Na1—K1^viii	62.427 (7)
O2^iii—K1—O1^xiii	76.88 (6)	K1^xix—Na1—K1^viii	180.0
O7^xii—K1—O5^i	106.65 (5)	K1^xx—Na1—K1^viii	80.821 (15)
O6^iii—K1—O5^i	78.18 (5)	O7—Na1—K1^xi	80.49 (4)
O2^iii—K1—O5^i	111.43 (5)	O7^v—Na1—K1^xi	138.22 (4)
O1^xiii—K1—O5^i	171.55 (6)	O7^xvi—Na1—K1^xi	99.51 (4)
O7^xii—K1—O5^xi	83.24 (5)	O7^xvii—Na1—K1^xi	41.78 (4)
O6^iii—K1—O5^xi	161.96 (5)	O1^iv—Na1—K1^xi	44.24 (2)
O2^iii—K1—O5^xi	131.25 (5)	O1^xviii—Na1—K1^xi	135.76 (2)
O1^xiii—K1—O5^xi	74.90 (6)	K2^xiii—Na1—K1^xi	62.427 (7)
O5^i—K1—O5^xi	97.76 (5)	K2—Na1—K1^xi	117.573 (7)
O7^xii—K1—O2^xiii	114.65 (5)	K1^xix—Na1—K1^xi	80.821 (15)
O6^iii—K1—O2^xiii	133.13 (5)	K1^xx—Na1—K1^xi	180.0
O2^iii—K1—O2^xiii	68.88 (6)	K1^viii—Na1—K1^xi	99.179 (15)
O1^xiii—K1—O2^xiii	50.18 (5)

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