Nonamagnesium diruthenium, Mg9Ru2

Li, J.; Liu, H.; Liu, Y.; Wen, B.; Zhang, L.; Fan, C.

doi:10.1107/S2414314625003050

inorganic compounds

IUCrDATA

ISSN: 2414-3146

Volume 10| Part 4| April 2025| x250305

https://doi.org/10.1107/S2414314625003050

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Nonamagnesium diruthenium, Mg₉Ru₂

Junhui Li,^a Huizi Liu,^a Yibo Liu,^a Bin Wen,^a Lifeng Zhang ^b and Changzeng Fan ^a,^c ^*

^aState Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, People's Republic of China, ^bSchool of Mechanical and Materials Engineering, North China University of Technology, Beijing, People's Republic of China, and ^cHebei Key Lab for Optimizing Metal Product Technology and Performance, Yanshan University, Qinhuangdao 066004, People's Republic of China
^*Correspondence e-mail: chzfan@ysu.edu.cn

Edited by M. Weil, Vienna University of Technology, Austria (Received 17 March 2025; accepted 3 April 2025; online 11 April 2025)

A monoclinic phase with chemical composition of Mg₉Ru₂, nonamagnesium diruthenium, was obtained through high-pressure sintering of a mixture with an initial chemical composition of MgRuB. The Mg₉Ru₂ phase crystallizes in the C2/c space group with Z = 8 and is isotypic with the previously reported In_0.74Ir_3.3Mg_17.96 and In_1.9Ir₃Mg_17.1 phases.

Keywords: crystal structure; high-pressure synthesis; intermetallics; Mg–Ru system.

CCDC reference: 2440944

Structure description

In the B–Mg–Ru system, the potential existence of decagonal quasicrystals has been validated through first-principles calculations. These phases comprise a large amount of the non-metallic element boron and do not belong to any known quasicrystals. Schweitzer & Jung (1985 ) identified orthorhombic B₄Mg₂Ru₅ and B₁₁Mg₅Ru₁₃ as approximant phases to assumed decagonal quasicrystals. Miyazaki et al. (2007 ) conducted further experimental studies on B–Mg–Ru compounds synthesized at 1673 K, revealing four novel approximant phases on basis of electron diffraction patterns. It should be noted that only the lattice parameters of the four phases have been given in the aforementioned studies while crystal structure models have not been provided.

In a current study aimed at the preparation of a phase with composition MgRuB, crystals of Mg₉Ru₂ were obtained serendipitously. The Mg–Ru binary system remains relatively underexplored, and only two phases have been reported up to now besides the new phase Mg₉Ru₂: Westin & Edshammar (1973 ) investigated the cubic intermetallic compound Mg₃Ru₂ with a β-manganese type of structure and Mg_43.83Ru_7.17 adopting the Ir₇Mg₄₄ type of structure. They employed Guinier–Hägg and Weissenberg techniques to study X-ray powder and single-crystal data. Pöttgen et al. (2008 ) further refined the structure of Mg₃Ru₂ and conducted a detailed analysis of the chemical bonding.

The lattice parameters of Mg₉Ru₂ (Table 1) are similar to two phases in the In–Ir–Mg system. Hlukhyy & Pöttgen (2005 ) synthesized In_0.74Ir_3.3Mg_17.96 and In_1.9Ir₃Mg_17.1 in the Mg-rich part of the In–Ir–Mg system, both of which belong to the space group C2/c. The lattice parameters for In_1.9Ir₃Mg_17.1 are a = 9.8339 (8), b = 22.114 (2), c = 8.4955 (7) Å, β = 105.757 (6)°. Its asymmetric unit contains two Ir sites, two Mg sites with full occupation and nine mixed-occupied (Mg/In) sites with concentrations ranging between 1.2 and 14.8 at.% for In. The authors proposed the possible existence of a ternary compound with the ideal composition InIr₃Mg₁₈ and subsequently synthesized a compound with a near-ideal composition, In_0.74Ir_3.30Mg_17.96, with lattice parameters a = 9.791 (1), b = 21.974 (2), c = 8.482 (1) Å, β = 105.79 (1)°. As it turned out during crystal structure refinement of Mg₉Ru₂, the crystal structure of the binary phase is isotypic with the two In–Ir–Mg phases.

Table 1
Experimental details

Crystal data
Chemical formula	Mg₉Ru₂
M_r	420.93
Crystal system, space group	Monoclinic, C2/c
Temperature (K)	296
a, b, c (Å)	9.8976 (4), 22.3449 (10), 8.6049 (3)
β (°)	105.549 (1)
V (Å³)	1833.42 (13)
Z	8
Radiation type	Mo Kα
μ (mm⁻¹)	3.83
Crystal size (mm)	0.14 × 0.10 × 0.02

Data collection
Diffractometer	Bruker D8 Venture Photon 100 CMOS
Absorption correction	Multi-scan (SADABS; Krause et al., 2015 )
T_min, T_max	0.639, 0.746
No. of measured, independent and observed [I > 2σ(I)] reflections	29030, 2125, 1685
R_int	0.095
(sin θ/λ)_max (Å⁻¹)	0.650

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.031, 0.059, 1.10
No. of reflections	2125
No. of parameters	105
Δρ_max, Δρ_min (e Å⁻³)	1.06, −0.90
Computer programs: APEX3 and SAINT (Bruker, 2015 ), SHELXT (Sheldrick, 2015a ), SHELXL (Sheldrick, 2015b ), DIAMOND (Brandenburg & Putz, 2017 ) and publCIF (Westrip, 2010 ).

Fig. 1 illustrates the atomic distribution within the unit cell of Mg₉Ru₂. The environments of the Ru1, Ru2 and Ru3 sites are shown in Figs. 2, 3 and 4, respectively. The Ru1 atom is located at a general site (multiplicity 8, Wyckoff letter f) and is surrounded by ten Mg atoms, with the shortest Ru—Mg separation of 2.7269 (3) Å for Ru1—Mg4. The Ru2 and Ru3 atoms both occupy a site with symmetry 2 (4 e). They are surrounded by twelve and eleven Mg atoms, respectively. Here the shortest Ru—Mg separations are Ru2—Mg3 = 2.81020 (9) Å and Ru3—Mg1 = 2.8617 (15) Å. The environments of the Mg1 and Mg3 sites are shown in Figs. 5 and 6, respectively. The Mg1 atom occupies a general site and is surrounded by nine Mg atoms and three Ru atoms, with the shortest Mg—Ru separation of Mg1—Ru1 = 2.8552 (15) Å. The Mg3 atom is located at a site with symmetry $[\overline{1}]$ (4 c) and is pairwise surrounded by six atoms, Mg5, Mg6, Mg8, Mg10, Mg11, and Ru2, defining the center of an icosahedron.

Figure 1
The unit cell of Mg₉Ru₂ with displacement ellipsoids at the 99% probability level. Labeled atoms correspond to those of the asymmetric unit

Figure 2
(a) The environment of the Ru1 atom at the 8 f site in polyhedral representation; (b) the environment of the Ru1 atom with displacement ellipsoids given at the 99% probability level. [Symmetry codes: (v) x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , z; (vi) −x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , −z + $[{1\over 2}]$ ; (vii) −x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , −z; (viii) x, −y, z − $[{1\over 2}]$ .]

Figure 3
(a) The environment of the Ru2 atom at the 4 e site; (b) the environment of the Ru2 atom with displacement ellipsoids given at the 99% probability level. [Symmetry codes:(i) x − $[{1\over 2}]$ , y + $[{1\over 2}]$ , z; (ii) −x + $[{1\over 2}]$ , y + $[{1\over 2}]$ , −z + $[{1\over 2}]$ ; (iii) x, −y + 1, z − $[{1\over 2}]$ ; (iv) −x, −y + 1, −z + 1.]

Figure 4
(a) The environment of the Ru3 atom at the 4 e site; (b) the environment of the Ru3 atom with displacement ellipsoids given at the 99% probability level. [Symmetry codes:(vii) −x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , −z; (ix) −x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , −z + 1; (x) x − $[{1\over 2}]$ , −y + $[{1\over 2}]$ , z − $[{1\over 2}]$ ; (xi) −x, y, −z + $[{1\over 2}]$ ; (xii) x − $[{1\over 2}]$ , −y + $[{1\over 2}]$ , z + $[{1\over 2}]$ .]

Figure 5
(a) The environment of the Mg1 atom at the 8 f site; (b) the environment of the Mg1 atom with displacement ellipsoids given at the 99% probability level. [Symmetry codes: (v) x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , z; (vi) −x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , −z + $[{1\over 2}]$ ; (ix) −x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , −z + 1; (xi) −x, y, −z + $[{1\over 2}]$ ; (xiii) −x + 1, y, −z + $[{1\over 2}]$ ; (xix) x, −y, z + $[{1\over 2}]$ .]

Figure 6
(a) The environment of the Mg3 atom at the 4 c site; (b) the environment of the Mg3 atom with displacement ellipsoids given at the 99% probability level. [Symmetry codes:(v) x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , z; (vii) −x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , −z; (xi) −x, y, −z + $[{1\over 2}]$ ; (xiv) x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , z − $[{1\over 2}]$ ; (xviii) −x, −y + 1, −z.]

Synthesis and crystallization

High-purity elements magnesium (indicated purity 99.9%; 0.1785 g), ruthenium (indicated purity: 99.9%; 0.7421 g) and boron (indicated purity: 99.9%; 0.0793 g) with a stoichiometric ratio of 1:1:1 were mixed and ground in an agate mortar for 40 min. The resulting powder was then placed in a cemented carbide grinding mold with a diameter of 5 mm and pressed into a block at about 4 MPa for three minutes. Cylindrical blocks without deformation and cracks were obtained. Details of high pressure sintering experiments using six-anvil high-temperature and high-pressure equipment can be found elsewhere (Liu & Fan, 2018 ). The sample was further pressurized to 6 GPa and heated to 1273 K for 40 min, and then quickly cooled to room temperature by turning off the furnace power. A selected single-crystal was mounted on a glass fiber for X-ray diffraction measurement.

Refinement

Crystal data, data collection and structure refinement details are summarized in Table 1. The stoichiometric composition of the Mg₉Ru₂ phase aligns closely with the elemental ratios determined via energy-dispersive X-ray spectroscopy (EDX) analysis (see Table S1 of the supporting information). For better comparison with the Mg₉Ru₂ structure, the labelling scheme and atomic coordinates were adapted from isotypic In_1.9Ir₃Mg_17.1 (Hlukhyy & Pöttgen, 2005). Ru1, Ru2 and Ru3 correspond to the positions of Ir1, Ir2 and In1, respectively, in the In_1.9Ir₃Mg_17.1 phase, and all the positions of Mg atoms correspond to each other. For the Mg₉Ru₂ phase, the maximum and minimum residual electron densities in the final difference map are located 1.67 Å from site Ru1 and 0.66 Å from site Mg9, respectively.

Structural data

CCDC reference: 2440944

Crystal structure: contains datablock I. DOI: https://doi.org/10.1107/S2414314625003050/wm4227sup1.cif

Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2414314625003050/wm4227Isup2.hkl

Supporting information file. DOI: https://doi.org/10.1107/S2414314625003050/wm4227sup3.docx

checkCIF report

Computing details top

Nonamagnesium diruthenium top

Crystal data top

Mg₉Ru₂	F(000) = 1568
M_r = 420.93	D_x = 3.050 Mg m⁻³
Monoclinic, C2/c	Mo Kα radiation, λ = 0.71073 Å
a = 9.8976 (4) Å	Cell parameters from 7618 reflections
b = 22.3449 (10) Å	θ = 2.3–27.5°
c = 8.6049 (3) Å	µ = 3.83 mm⁻¹
β = 105.549 (1)°	T = 296 K
V = 1833.42 (13) Å³	Lump, gray
Z = 8	0.14 × 0.10 × 0.02 mm

Data collection top

Bruker D8 Venture Photon 100 CMOS diffractometer	1685 reflections with I > 2σ(I)
phi and ω scans	R_int = 0.095
Absorption correction: multi-scan (SADABS; Krause et al., 2015)	θ_max = 27.5°, θ_min = 2.3°
T_min = 0.639, T_max = 0.746	h = −12→12
29030 measured reflections	k = −28→28
2125 independent reflections	l = −11→11

Refinement top

Refinement on F²	105 parameters
Least-squares matrix: full	0 restraints
R[F² > 2σ(F²)] = 0.031	w = 1/[σ²(F_o²) + (0.0178P)² + 7.9309P] where P = (F_o² + 2F_c²)/3
wR(F²) = 0.059	(Δ/σ)_max = 0.001
S = 1.10	Δρ_max = 1.06 e Å⁻³
2125 reflections	Δρ_min = −0.90 e Å⁻³

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.

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

	x	y	z	U_iso*/U_eq
Ru1	0.23887 (3)	0.05857 (2)	0.15867 (4)	0.00565 (9)
Ru2	0.000000	0.75111 (2)	0.250000	0.00573 (12)
Ru3	0.000000	0.37787 (2)	0.250000	0.01233 (13)
Mg1	0.28646 (16)	0.06659 (7)	0.50027 (17)	0.0149 (3)
Mg2	0.26554 (18)	0.45064 (7)	0.18284 (19)	0.0200 (4)
Mg3	0.250000	0.250000	0.000000	0.0120 (4)
Mg4	0.000000	0.000000	0.000000	0.0163 (5)
Mg5	0.41829 (16)	0.13455 (7)	0.04409 (19)	0.0153 (3)
Mg6	0.03146 (16)	0.25579 (7)	0.42870 (17)	0.0127 (3)
Mg7	0.000000	0.50705 (9)	0.250000	0.0128 (5)
Mg8	0.26330 (16)	0.31691 (7)	0.30981 (18)	0.0119 (3)
Mg9	0.000000	0.10898 (11)	0.250000	0.0175 (5)
Mg10	0.26689 (16)	0.17899 (7)	0.28609 (18)	0.0132 (3)
Mg11	0.43520 (15)	0.36005 (6)	0.06331 (17)	0.0103 (3)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Ru1	0.00419 (17)	0.00620 (17)	0.00585 (17)	−0.00009 (14)	0.00009 (13)	0.00059 (14)
Ru2	0.0055 (2)	0.0063 (2)	0.0051 (2)	0.000	0.00101 (18)	0.000
Ru3	0.0173 (3)	0.0086 (3)	0.0142 (3)	0.000	0.0096 (2)	0.000
Mg1	0.0127 (8)	0.0202 (8)	0.0107 (8)	0.0001 (7)	0.0013 (6)	−0.0014 (7)
Mg2	0.0321 (10)	0.0147 (9)	0.0139 (8)	0.0077 (7)	0.0076 (8)	−0.0025 (7)
Mg3	0.0123 (11)	0.0127 (11)	0.0110 (10)	0.0011 (9)	0.0034 (9)	−0.0001 (9)
Mg4	0.0077 (11)	0.0167 (11)	0.0219 (13)	−0.0028 (9)	−0.0003 (10)	−0.0058 (10)
Mg5	0.0144 (8)	0.0159 (8)	0.0173 (8)	0.0005 (7)	0.0070 (7)	0.0036 (6)
Mg6	0.0125 (8)	0.0157 (8)	0.0106 (8)	−0.0001 (7)	0.0045 (6)	0.0016 (6)
Mg7	0.0087 (11)	0.0112 (11)	0.0165 (12)	0.000	0.0001 (9)	0.000
Mg8	0.0125 (8)	0.0116 (7)	0.0123 (8)	−0.0001 (6)	0.0044 (7)	0.0005 (6)
Mg9	0.0116 (12)	0.0278 (13)	0.0140 (12)	0.000	0.0050 (10)	0.000
Mg10	0.0145 (8)	0.0112 (8)	0.0132 (8)	−0.0012 (6)	0.0025 (7)	−0.0019 (6)
Mg11	0.0102 (8)	0.0106 (7)	0.0099 (8)	0.0018 (6)	0.0024 (6)	0.0010 (6)

Geometric parameters (Å, º) top

Ru1—Mg4	2.7269 (3)	Mg2—Mg11	2.983 (2)
Ru1—Mg7ⁱ	2.7448 (9)	Mg2—Mg7	3.1056 (18)
Ru1—Mg2ⁱⁱ	2.7768 (16)	Mg2—Mg8	3.184 (2)
Ru1—Mg5	2.8190 (15)	Mg2—Mg4^vi	3.2641 (17)
Ru1—Mg1	2.8552 (15)	Mg2—Mg4^xiv	3.3218 (17)
Ru1—Mg11ⁱⁱⁱ	2.8565 (14)	Mg3—Mg10ⁱⁱⁱ	2.8957 (15)
Ru1—Mg10	2.8908 (15)	Mg3—Mg10	2.8957 (15)
Ru1—Mg9	2.9107 (10)	Mg3—Mg6^xv	3.0116 (15)
Ru1—Mg2ⁱⁱⁱ	2.9345 (16)	Mg3—Mg6^xi	3.0116 (15)
Ru1—Mg1^iv	3.2010 (16)	Mg3—Mg11ⁱⁱⁱ	3.0279 (15)
Ru2—Mg3^v	2.8102 (1)	Mg3—Mg11	3.0279 (15)
Ru2—Mg3^vi	2.8102 (1)	Mg3—Mg8ⁱⁱⁱ	3.0283 (15)
Ru2—Mg6^vii	2.8681 (14)	Mg3—Mg8	3.0284 (15)
Ru2—Mg6^viii	2.8681 (14)	Mg3—Mg5	3.0388 (15)
Ru2—Mg11^vi	2.8923 (15)	Mg3—Mg5ⁱⁱⁱ	3.0388 (15)
Ru2—Mg11^v	2.8923 (15)	Mg4—Mg9^xvi	3.2492 (18)
Ru2—Mg10^v	2.8984 (16)	Mg4—Mg9	3.2493 (18)
Ru2—Mg10^vi	2.8984 (16)	Mg4—Mg11ⁱⁱⁱ	3.2673 (14)
Ru2—Mg8^vi	2.9260 (15)	Mg4—Mg11^xvii	3.2673 (14)
Ru2—Mg8^v	2.9260 (15)	Mg5—Mg6^xv	2.973 (2)
Ru2—Mg5^v	3.1318 (16)	Mg5—Mg10	3.040 (2)
Ru2—Mg5^vi	3.1318 (16)	Mg5—Mg10^xiii	3.223 (2)
Ru3—Mg1^ix	2.8617 (15)	Mg5—Mg8ⁱⁱⁱ	3.278 (2)
Ru3—Mg1^x	2.8617 (15)	Mg5—Mg7ⁱ	3.338 (2)
Ru3—Mg8	2.8624 (15)	Mg5—Mg11ⁱⁱⁱ	3.373 (2)
Ru3—Mg8^xi	2.8624 (15)	Mg6—Mg6^xi	2.970 (3)
Ru3—Mg5ⁱⁱⁱ	2.8692 (15)	Mg6—Mg8^ix	3.062 (2)
Ru3—Mg5^xii	2.8692 (15)	Mg6—Mg8	3.072 (2)
Ru3—Mg7	2.886 (2)	Mg6—Mg10^ix	3.083 (2)
Ru3—Mg6^xi	3.1059 (15)	Mg6—Mg11^xii	3.089 (2)
Ru3—Mg6	3.1059 (15)	Mg6—Mg8^xi	3.373 (2)
Ru3—Mg2^xi	3.2710 (18)	Mg6—Mg10	3.378 (2)
Ru3—Mg2	3.2710 (18)	Mg6—Mg10^xi	3.486 (2)
Mg1—Mg2^ix	2.933 (2)	Mg8—Mg11^xiii	3.046 (2)
Mg1—Mg2ⁱⁱ	3.004 (2)	Mg8—Mg10	3.089 (2)
Mg1—Mg7^ix	3.0590 (18)	Mg8—Mg11	3.203 (2)
Mg1—Mg10	3.090 (2)	Mg9—Mg10^xi	3.014 (2)
Mg1—Mg8^ix	3.181 (2)	Mg9—Mg10	3.014 (2)
Mg1—Mg4^xi	3.2015 (15)	Mg9—Mg11^xii	3.0143 (15)
Mg1—Mg9	3.2094 (16)	Mg9—Mg11ⁱⁱⁱ	3.0143 (15)
Mg1—Mg5^xiii	3.404 (2)	Mg10—Mg11ⁱⁱⁱ	3.252 (2)
Mg1—Mg7ⁱ	3.6491 (17)	Mg11—Mg11^xiii	3.124 (3)
Mg2—Mg5ⁱⁱⁱ	2.974 (2)

Mg4—Ru1—Mg7ⁱ	124.44 (4)	Ru3ⁱⁱⁱ—Mg5—Ru2ⁱ	119.23 (5)
Mg4—Ru1—Mg2ⁱⁱ	72.75 (4)	Mg6^xv—Mg5—Ru2ⁱ	55.97 (4)
Mg7ⁱ—Ru1—Mg2ⁱⁱ	68.45 (5)	Mg2ⁱⁱⁱ—Mg5—Ru2ⁱ	157.46 (6)
Mg4—Ru1—Mg5	131.06 (3)	Mg3—Mg5—Ru2ⁱ	54.16 (3)
Mg7ⁱ—Ru1—Mg5	73.72 (5)	Mg10—Mg5—Ru2ⁱ	56.00 (4)
Mg2ⁱⁱ—Ru1—Mg5	142.11 (5)	Ru1—Mg5—Mg10^xiii	130.54 (6)
Mg4—Ru1—Mg1	115.29 (3)	Ru3ⁱⁱⁱ—Mg5—Mg10^xiii	87.87 (5)
Mg7ⁱ—Ru1—Mg1	81.30 (3)	Mg6^xv—Mg5—Mg10^xiii	59.51 (5)
Mg2ⁱⁱ—Ru1—Mg1	64.46 (5)	Mg2ⁱⁱⁱ—Mg5—Mg10^xiii	147.34 (7)
Mg5—Ru1—Mg1	112.13 (5)	Mg3—Mg5—Mg10^xiii	103.06 (5)
Mg4—Ru1—Mg11ⁱⁱⁱ	71.59 (3)	Mg10—Mg5—Mg10^xiii	100.54 (6)
Mg7ⁱ—Ru1—Mg11ⁱⁱⁱ	144.23 (4)	Ru2ⁱ—Mg5—Mg10^xiii	54.24 (4)
Mg2ⁱⁱ—Ru1—Mg11ⁱⁱⁱ	142.68 (5)	Ru1—Mg5—Mg8ⁱⁱⁱ	106.52 (5)
Mg5—Ru1—Mg11ⁱⁱⁱ	72.92 (4)	Ru3ⁱⁱⁱ—Mg5—Mg8ⁱⁱⁱ	55.02 (4)
Mg1—Ru1—Mg11ⁱⁱⁱ	123.50 (4)	Mg6^xv—Mg5—Mg8ⁱⁱⁱ	65.10 (5)
Mg4—Ru1—Mg10	128.23 (3)	Mg2ⁱⁱⁱ—Mg5—Mg8ⁱⁱⁱ	61.00 (5)
Mg7ⁱ—Ru1—Mg10	107.13 (5)	Mg3—Mg5—Mg8ⁱⁱⁱ	57.14 (4)
Mg2ⁱⁱ—Ru1—Mg10	129.40 (5)	Mg10—Mg5—Mg8ⁱⁱⁱ	106.26 (6)
Mg5—Ru1—Mg10	64.32 (5)	Ru2ⁱ—Mg5—Mg8ⁱⁱⁱ	104.15 (5)
Mg1—Ru1—Mg10	65.07 (4)	Mg10^xiii—Mg5—Mg8ⁱⁱⁱ	122.81 (6)
Mg11ⁱⁱⁱ—Ru1—Mg10	68.92 (4)	Ru1—Mg5—Mg7ⁱ	52.12 (3)
Mg4—Ru1—Mg9	70.30 (3)	Ru3ⁱⁱⁱ—Mg5—Mg7ⁱ	107.46 (5)
Mg7ⁱ—Ru1—Mg9	148.832 (15)	Mg6^xv—Mg5—Mg7ⁱ	145.21 (6)
Mg2ⁱⁱ—Ru1—Mg9	94.74 (5)	Mg2ⁱⁱⁱ—Mg5—Mg7ⁱ	79.67 (5)
Mg5—Ru1—Mg9	119.66 (5)	Mg3—Mg5—Mg7ⁱ	146.88 (5)
Mg1—Ru1—Mg9	67.64 (3)	Mg10—Mg5—Mg7ⁱ	90.52 (5)
Mg11ⁱⁱⁱ—Ru1—Mg9	63.01 (4)	Ru2ⁱ—Mg5—Mg7ⁱ	114.86 (5)
Mg10—Ru1—Mg9	62.59 (5)	Mg10^xiii—Mg5—Mg7ⁱ	87.43 (5)
Mg4—Ru1—Mg2ⁱⁱⁱ	71.75 (4)	Mg8ⁱⁱⁱ—Mg5—Mg7ⁱ	140.36 (6)
Mg7ⁱ—Ru1—Mg2ⁱⁱⁱ	91.00 (3)	Ru1—Mg5—Mg11ⁱⁱⁱ	54.05 (4)
Mg2ⁱⁱ—Ru1—Mg2ⁱⁱⁱ	115.66 (3)	Ru3ⁱⁱⁱ—Mg5—Mg11ⁱⁱⁱ	106.18 (5)
Mg5—Ru1—Mg2ⁱⁱⁱ	62.20 (5)	Mg6^xv—Mg5—Mg11ⁱⁱⁱ	109.57 (6)
Mg1—Ru1—Mg2ⁱⁱⁱ	171.67 (5)	Mg2ⁱⁱⁱ—Mg5—Mg11ⁱⁱⁱ	55.65 (5)
Mg11ⁱⁱⁱ—Ru1—Mg2ⁱⁱⁱ	62.00 (4)	Mg3—Mg5—Mg11ⁱⁱⁱ	56.07 (4)
Mg10—Ru1—Mg2ⁱⁱⁱ	114.79 (4)	Mg10—Mg5—Mg11ⁱⁱⁱ	60.69 (5)
Mg9—Ru1—Mg2ⁱⁱⁱ	120.16 (4)	Ru2ⁱ—Mg5—Mg11ⁱⁱⁱ	102.53 (5)
Mg4—Ru1—Mg1^iv	64.80 (3)	Mg10^xiii—Mg5—Mg11ⁱⁱⁱ	156.77 (6)
Mg7ⁱ—Ru1—Mg1^iv	61.36 (4)	Mg8ⁱⁱⁱ—Mg5—Mg11ⁱⁱⁱ	57.55 (4)
Mg2ⁱⁱ—Ru1—Mg1^iv	58.24 (4)	Mg7ⁱ—Mg5—Mg11ⁱⁱⁱ	105.18 (5)
Mg5—Ru1—Mg1^iv	101.47 (4)	Ru1—Mg5—Mg1^xiii	114.25 (6)
Mg1—Ru1—Mg1^iv	119.39 (4)	Ru3ⁱⁱⁱ—Mg5—Mg1^xiii	53.45 (4)
Mg11ⁱⁱⁱ—Ru1—Mg1^iv	113.75 (4)	Mg6^xv—Mg5—Mg1^xiii	85.33 (5)
Mg10—Ru1—Mg1^iv	164.73 (4)	Mg2ⁱⁱⁱ—Mg5—Mg1^xiii	91.91 (6)
Mg9—Ru1—Mg1^iv	132.53 (5)	Mg3—Mg5—Mg1^xiii	145.38 (6)
Mg2ⁱⁱⁱ—Ru1—Mg1^iv	58.45 (4)	Mg10—Mg5—Mg1^xiii	144.90 (6)
Mg3^v—Ru2—Mg3^vi	178.993 (19)	Ru2ⁱ—Mg5—Mg1^xiii	109.58 (5)
Mg3^v—Ru2—Mg6^vii	64.05 (3)	Mg10^xiii—Mg5—Mg1^xiii	55.51 (4)
Mg3^vi—Ru2—Mg6^vii	115.89 (3)	Mg8ⁱⁱⁱ—Mg5—Mg1^xiii	108.47 (6)
Mg3^v—Ru2—Mg6^viii	115.89 (3)	Mg7ⁱ—Mg5—Mg1^xiii	65.52 (4)
Mg3^vi—Ru2—Mg6^viii	64.05 (3)	Mg11ⁱⁱⁱ—Mg5—Mg1^xiii	147.54 (6)
Mg6^vii—Ru2—Mg6^viii	173.84 (6)	Ru2^viii—Mg6—Mg6^xi	162.08 (8)
Mg3^v—Ru2—Mg11^vi	116.82 (3)	Ru2^viii—Mg6—Mg5^xii	64.81 (4)
Mg3^vi—Ru2—Mg11^vi	64.12 (3)	Mg6^xi—Mg6—Mg5^xii	110.65 (5)
Mg6^vii—Ru2—Mg11^vi	121.02 (4)	Ru2^viii—Mg6—Mg3^xi	57.04 (3)
Mg6^viii—Ru2—Mg11^vi	64.85 (4)	Mg6^xi—Mg6—Mg3^xi	105.21 (7)
Mg3^v—Ru2—Mg11^v	64.12 (3)	Mg5^xii—Mg6—Mg3^xi	61.02 (4)
Mg3^vi—Ru2—Mg11^v	116.82 (3)	Ru2^viii—Mg6—Mg8^ix	59.02 (4)
Mg6^vii—Ru2—Mg11^v	64.85 (4)	Mg6^xi—Mg6—Mg8^ix	132.42 (6)
Mg6^viii—Ru2—Mg11^v	121.02 (4)	Mg5^xii—Mg6—Mg8^ix	115.27 (6)
Mg11^vi—Ru2—Mg11^v	65.37 (6)	Mg3^xi—Mg6—Mg8^ix	107.17 (5)
Mg3^v—Ru2—Mg10^v	60.94 (3)	Ru2^viii—Mg6—Mg8	128.96 (6)
Mg3^vi—Ru2—Mg10^v	118.42 (3)	Mg6^xi—Mg6—Mg8	67.86 (6)
Mg6^vii—Ru2—Mg10^v	111.63 (4)	Mg5^xii—Mg6—Mg8	97.28 (6)
Mg6^viii—Ru2—Mg10^v	64.63 (4)	Mg3^xi—Mg6—Mg8	154.33 (6)
Mg11^vi—Ru2—Mg10^v	118.21 (4)	Mg8^ix—Mg6—Mg8	94.18 (5)
Mg11^v—Ru2—Mg10^v	117.58 (4)	Ru2^viii—Mg6—Mg10^ix	58.16 (4)
Mg3^v—Ru2—Mg10^vi	118.42 (3)	Mg6^xi—Mg6—Mg10^ix	137.36 (7)
Mg3^vi—Ru2—Mg10^vi	60.94 (3)	Mg5^xii—Mg6—Mg10^ix	64.28 (5)
Mg6^vii—Ru2—Mg10^vi	64.63 (4)	Mg3^xi—Mg6—Mg10^ix	107.15 (5)
Mg6^viii—Ru2—Mg10^vi	111.63 (4)	Mg8^ix—Mg6—Mg10^ix	60.36 (5)
Mg11^vi—Ru2—Mg10^vi	117.58 (4)	Mg8—Mg6—Mg10^ix	70.91 (5)
Mg11^v—Ru2—Mg10^vi	118.21 (4)	Ru2^viii—Mg6—Mg11^xii	57.95 (4)
Mg10^v—Ru2—Mg10^vi	112.45 (6)	Mg6^xi—Mg6—Mg11^xii	112.85 (5)
Mg3^v—Ru2—Mg8^vi	116.87 (3)	Mg5^xii—Mg6—Mg11^xii	112.56 (6)
Mg3^vi—Ru2—Mg8^vi	63.69 (3)	Mg3^xi—Mg6—Mg11^xii	59.50 (4)
Mg6^vii—Ru2—Mg8^vi	63.80 (4)	Mg8^ix—Mg6—Mg11^xii	59.37 (5)
Mg6^viii—Ru2—Mg8^vi	119.70 (4)	Mg8—Mg6—Mg11^xii	146.15 (7)
Mg11^vi—Ru2—Mg8^vi	66.80 (4)	Mg10^ix—Mg6—Mg11^xii	107.25 (6)
Mg11^v—Ru2—Mg8^vi	63.14 (4)	Ru2^viii—Mg6—Ru3	120.14 (5)
Mg10^v—Ru2—Mg8^vi	174.95 (4)	Mg6^xi—Mg6—Ru3	61.44 (3)
Mg10^vi—Ru2—Mg8^vi	64.06 (4)	Mg5^xii—Mg6—Ru3	56.27 (4)
Mg3^v—Ru2—Mg8^v	63.69 (3)	Mg3^xi—Mg6—Ru3	99.39 (4)
Mg3^vi—Ru2—Mg8^v	116.87 (3)	Mg8^ix—Mg6—Ru3	142.04 (6)
Mg6^vii—Ru2—Mg8^v	119.70 (4)	Mg8—Mg6—Ru3	55.20 (4)
Mg6^viii—Ru2—Mg8^v	63.80 (4)	Mg10^ix—Mg6—Ru3	86.36 (5)
Mg11^vi—Ru2—Mg8^v	63.14 (4)	Mg11^xii—Mg6—Ru3	157.16 (6)
Mg11^v—Ru2—Mg8^v	66.80 (4)	Ru2^viii—Mg6—Mg8^xi	107.97 (5)
Mg10^v—Ru2—Mg8^v	64.06 (4)	Mg6^xi—Mg6—Mg8^xi	57.51 (5)
Mg10^vi—Ru2—Mg8^v	174.95 (4)	Mg5^xii—Mg6—Mg8^xi	61.82 (5)
Mg8^vi—Ru2—Mg8^v	119.67 (6)	Mg3^xi—Mg6—Mg8^xi	56.29 (4)
Mg3^v—Ru2—Mg5^v	61.23 (3)	Mg8^ix—Mg6—Mg8^xi	163.14 (7)
Mg3^vi—Ru2—Mg5^v	117.82 (3)	Mg8—Mg6—Mg8^xi	102.64 (6)
Mg6^vii—Ru2—Mg5^v	59.22 (4)	Mg10^ix—Mg6—Mg8^xi	124.25 (6)
Mg6^viii—Ru2—Mg5^v	114.99 (4)	Mg11^xii—Mg6—Mg8^xi	105.31 (6)
Mg11^vi—Ru2—Mg5^v	177.90 (4)	Ru3—Mg6—Mg8^xi	52.24 (3)
Mg11^v—Ru2—Mg5^v	113.61 (4)	Ru2^viii—Mg6—Mg10	125.91 (5)
Mg10^v—Ru2—Mg5^v	60.40 (4)	Mg6^xi—Mg6—Mg10	66.26 (5)
Mg10^vi—Ru2—Mg5^v	64.49 (4)	Mg5^xii—Mg6—Mg10	153.92 (7)
Mg8^vi—Ru2—Mg5^v	114.57 (4)	Mg3^xi—Mg6—Mg10	144.88 (6)
Mg8^v—Ru2—Mg5^v	114.83 (4)	Mg8^ix—Mg6—Mg10	67.12 (5)
Mg3^v—Ru2—Mg5^vi	117.82 (3)	Mg8—Mg6—Mg10	56.99 (4)
Mg3^vi—Ru2—Mg5^vi	61.23 (3)	Mg10^ix—Mg6—Mg10	99.61 (5)
Mg6^vii—Ru2—Mg5^vi	114.99 (4)	Mg11^xii—Mg6—Mg10	91.30 (5)
Mg6^viii—Ru2—Mg5^vi	59.22 (4)	Ru3—Mg6—Mg10	104.69 (5)
Mg11^vi—Ru2—Mg5^vi	113.61 (4)	Mg8^xi—Mg6—Mg10	123.57 (6)
Mg11^v—Ru2—Mg5^vi	177.90 (4)	Ru2^viii—Mg6—Mg10^xi	100.91 (5)
Mg10^v—Ru2—Mg5^vi	64.49 (4)	Mg6^xi—Mg6—Mg10^xi	62.50 (5)
Mg10^vi—Ru2—Mg5^vi	60.40 (4)	Mg5^xii—Mg6—Mg10^xi	103.96 (6)
Mg8^vi—Ru2—Mg5^vi	114.83 (4)	Mg3^xi—Mg6—Mg10^xi	52.31 (4)
Mg8^v—Ru2—Mg5^vi	114.57 (4)	Mg8^ix—Mg6—Mg10^xi	115.42 (6)
Mg5^v—Ru2—Mg5^vi	67.47 (6)	Mg8—Mg6—Mg10^xi	130.12 (6)
Mg1^ix—Ru3—Mg1^x	128.61 (6)	Mg10^ix—Mg6—Mg10^xi	158.48 (7)
Mg1^ix—Ru3—Mg8	67.53 (4)	Mg11^xii—Mg6—Mg10^xi	58.92 (4)
Mg1^x—Ru3—Mg8	142.65 (4)	Ru3—Mg6—Mg10^xi	102.22 (5)
Mg1^ix—Ru3—Mg8^xi	142.65 (4)	Mg8^xi—Mg6—Mg10^xi	53.50 (4)
Mg1^x—Ru3—Mg8^xi	67.53 (4)	Mg10—Mg6—Mg10^xi	97.24 (6)
Mg8—Ru3—Mg8^xi	123.16 (6)	Ru1^vi—Mg7—Ru1^v	130.40 (8)
Mg1^ix—Ru3—Mg5ⁱⁱⁱ	112.22 (4)	Ru1^vi—Mg7—Ru3	114.80 (4)
Mg1^x—Ru3—Mg5ⁱⁱⁱ	72.89 (4)	Ru1^v—Mg7—Ru3	114.80 (4)
Mg8—Ru3—Mg5ⁱⁱⁱ	69.77 (4)	Ru1^vi—Mg7—Mg1^x	147.89 (3)
Mg8^xi—Ru3—Mg5ⁱⁱⁱ	104.69 (4)	Ru1^v—Mg7—Mg1^x	66.69 (3)
Mg1^ix—Ru3—Mg5^xii	72.89 (4)	Ru3—Mg7—Mg1^x	57.46 (4)
Mg1^x—Ru3—Mg5^xii	112.22 (4)	Ru1^vi—Mg7—Mg1^ix	66.69 (3)
Mg8—Ru3—Mg5^xii	104.69 (4)	Ru1^v—Mg7—Mg1^ix	147.89 (3)
Mg8^xi—Ru3—Mg5^xii	69.77 (4)	Ru3—Mg7—Mg1^ix	57.46 (4)
Mg5ⁱⁱⁱ—Ru3—Mg5^xii	168.89 (6)	Mg1^x—Mg7—Mg1^ix	114.91 (8)
Mg1^ix—Ru3—Mg7	64.30 (3)	Ru1^vi—Mg7—Mg2	56.26 (3)
Mg1^x—Ru3—Mg7	64.30 (3)	Ru1^v—Mg7—Mg2	153.62 (3)
Mg8—Ru3—Mg7	118.42 (3)	Ru3—Mg7—Mg2	66.05 (5)
Mg8^xi—Ru3—Mg7	118.42 (3)	Mg1^x—Mg7—Mg2	96.36 (6)
Mg5ⁱⁱⁱ—Ru3—Mg7	95.55 (3)	Mg1^ix—Mg7—Mg2	56.81 (4)
Mg5^xii—Ru3—Mg7	95.55 (3)	Ru1^vi—Mg7—Mg2^xi	153.62 (3)
Mg1^ix—Ru3—Mg6^xi	135.11 (4)	Ru1^v—Mg7—Mg2^xi	56.26 (3)
Mg1^x—Ru3—Mg6^xi	93.05 (4)	Ru3—Mg7—Mg2^xi	66.05 (5)
Mg8—Ru3—Mg6^xi	68.69 (4)	Mg1^x—Mg7—Mg2^xi	56.81 (4)
Mg8^xi—Ru3—Mg6^xi	61.79 (4)	Mg1^ix—Mg7—Mg2^xi	96.36 (6)
Mg5ⁱⁱⁱ—Ru3—Mg6^xi	59.53 (4)	Mg2—Mg7—Mg2^xi	132.11 (9)
Mg5^xii—Ru3—Mg6^xi	109.70 (4)	Ru1^vi—Mg7—Mg5^vi	54.16 (4)
Mg7—Ru3—Mg6^xi	151.44 (3)	Ru1^v—Mg7—Mg5^vi	82.50 (5)
Mg1^ix—Ru3—Mg6	93.05 (4)	Ru3—Mg7—Mg5^vi	148.60 (3)
Mg1^x—Ru3—Mg6	135.11 (4)	Mg1^x—Mg7—Mg5^vi	148.81 (6)
Mg8—Ru3—Mg6	61.79 (4)	Mg1^ix—Mg7—Mg5^vi	93.60 (4)
Mg8^xi—Ru3—Mg6	68.69 (4)	Mg2—Mg7—Mg5^vi	110.40 (5)
Mg5ⁱⁱⁱ—Ru3—Mg6	109.70 (4)	Mg2^xi—Mg7—Mg5^vi	110.14 (5)
Mg5^xii—Ru3—Mg6	59.53 (4)	Ru1^vi—Mg7—Mg5^v	82.50 (5)
Mg7—Ru3—Mg6	151.44 (3)	Ru1^v—Mg7—Mg5^v	54.16 (4)
Mg6^xi—Ru3—Mg6	57.12 (5)	Ru3—Mg7—Mg5^v	148.60 (3)
Mg1^ix—Ru3—Mg2^xi	96.80 (4)	Mg1^x—Mg7—Mg5^v	93.60 (4)
Mg1^x—Ru3—Mg2^xi	56.67 (4)	Mg1^ix—Mg7—Mg5^v	148.81 (6)
Mg8—Ru3—Mg2^xi	160.18 (4)	Mg2—Mg7—Mg5^v	110.14 (5)
Mg8^xi—Ru3—Mg2^xi	62.12 (4)	Mg2^xi—Mg7—Mg5^v	110.40 (5)
Mg5ⁱⁱⁱ—Ru3—Mg2^xi	129.33 (4)	Mg5^vi—Mg7—Mg5^v	62.81 (7)
Mg5^xii—Ru3—Mg2^xi	57.48 (4)	Ru1^vi—Mg7—Mg1^v	109.15 (5)
Mg7—Ru3—Mg2^xi	60.19 (3)	Ru1^v—Mg7—Mg1^v	50.67 (3)
Mg6^xi—Ru3—Mg2^xi	123.05 (4)	Ru3—Mg7—Mg1^v	111.39 (4)
Mg6—Ru3—Mg2^xi	109.13 (4)	Mg1^x—Mg7—Mg1^v	102.14 (5)
Mg1^ix—Ru3—Mg2	56.67 (4)	Mg1^ix—Mg7—Mg1^v	100.49 (3)
Mg1^x—Ru3—Mg2	96.80 (4)	Mg2—Mg7—Mg1^v	155.61 (4)
Mg8—Ru3—Mg2	62.12 (4)	Mg2^xi—Mg7—Mg1^v	52.07 (4)
Mg8^xi—Ru3—Mg2	160.18 (4)	Mg5^vi—Mg7—Mg1^v	58.11 (4)
Mg5ⁱⁱⁱ—Ru3—Mg2	57.48 (4)	Mg5^v—Mg7—Mg1^v	84.59 (5)
Mg5^xii—Ru3—Mg2	129.33 (4)	Ru1^vi—Mg7—Mg1^vi	50.67 (3)
Mg7—Ru3—Mg2	60.19 (3)	Ru1^v—Mg7—Mg1^vi	109.15 (5)
Mg6^xi—Ru3—Mg2	109.13 (4)	Ru3—Mg7—Mg1^vi	111.39 (4)
Mg6—Ru3—Mg2	123.05 (4)	Mg1^x—Mg7—Mg1^vi	100.49 (3)
Mg2^xi—Ru3—Mg2	120.39 (6)	Mg1^ix—Mg7—Mg1^vi	102.14 (5)
Ru1—Mg1—Ru3^ix	133.24 (6)	Mg2—Mg7—Mg1^vi	52.06 (4)
Ru1—Mg1—Mg2^ix	158.02 (7)	Mg2^xi—Mg7—Mg1^vi	155.61 (4)
Ru3^ix—Mg1—Mg2^ix	68.72 (5)	Mg5^vi—Mg7—Mg1^vi	84.59 (5)
Ru1—Mg1—Mg2ⁱⁱ	56.50 (4)	Mg5^v—Mg7—Mg1^vi	58.11 (4)
Ru3^ix—Mg1—Mg2ⁱⁱ	139.11 (6)	Mg1^v—Mg7—Mg1^vi	137.23 (8)
Mg2^ix—Mg1—Mg2ⁱⁱ	109.04 (6)	Ru3—Mg8—Ru2ⁱ	160.19 (6)
Ru1—Mg1—Mg7^ix	125.57 (5)	Ru3—Mg8—Mg3	104.72 (5)
Ru3^ix—Mg1—Mg7^ix	58.24 (4)	Ru2ⁱ—Mg8—Mg3	56.29 (3)
Mg2^ix—Mg1—Mg7^ix	62.40 (4)	Ru3—Mg8—Mg11^xiii	132.15 (6)
Mg2ⁱⁱ—Mg1—Mg7^ix	83.88 (6)	Ru2ⁱ—Mg8—Mg11^xiii	57.89 (4)
Ru1—Mg1—Mg10	58.02 (4)	Mg3—Mg8—Mg11^xiii	106.20 (5)
Ru3^ix—Mg1—Mg10	90.63 (5)	Ru3—Mg8—Mg6^ix	141.01 (6)
Mg2^ix—Mg1—Mg10	131.50 (7)	Ru2ⁱ—Mg8—Mg6^ix	57.18 (4)
Mg2ⁱⁱ—Mg1—Mg10	114.43 (6)	Mg3—Mg8—Mg6^ix	104.40 (5)
Mg7^ix—Mg1—Mg10	141.00 (6)	Mg11^xiii—Mg8—Mg6^ix	60.75 (5)
Ru1—Mg1—Mg8^ix	125.08 (6)	Ru3—Mg8—Mg6	63.00 (4)
Ru3^ix—Mg1—Mg8^ix	56.24 (4)	Ru2ⁱ—Mg8—Mg6	122.68 (6)
Mg2^ix—Mg1—Mg8^ix	62.61 (5)	Mg3—Mg8—Mg6	102.34 (5)
Mg2ⁱⁱ—Mg1—Mg8^ix	161.22 (7)	Mg11^xiii—Mg8—Mg6	140.25 (6)
Mg7^ix—Mg1—Mg8^ix	104.61 (6)	Mg6^ix—Mg8—Mg6	85.82 (5)
Mg10—Mg1—Mg8^ix	69.38 (5)	Ru3—Mg8—Mg10	119.27 (6)
Ru1—Mg1—Ru1^xviii	112.40 (5)	Ru2ⁱ—Mg8—Mg10	57.53 (4)
Ru3^ix—Mg1—Ru1^xviii	102.85 (5)	Mg3—Mg8—Mg10	56.49 (4)
Mg2^ix—Mg1—Ru1^xviii	53.62 (4)	Mg11^xiii—Mg8—Mg10	108.17 (6)
Mg2ⁱⁱ—Mg1—Ru1^xviii	56.34 (4)	Mg6^ix—Mg8—Mg10	60.15 (5)
Mg7^ix—Mg1—Ru1^xviii	51.95 (4)	Mg6—Mg8—Mg10	66.51 (5)
Mg10—Mg1—Ru1^xviii	166.21 (6)	Ru3—Mg8—Mg1^ix	56.23 (4)
Mg8^ix—Mg1—Ru1^xviii	115.82 (5)	Ru2ⁱ—Mg8—Mg1^ix	137.99 (6)
Ru1—Mg1—Mg4^xi	93.92 (4)	Mg3—Mg8—Mg1^ix	151.64 (6)
Ru3^ix—Mg1—Mg4^xi	132.67 (5)	Mg11^xiii—Mg8—Mg1^ix	80.13 (5)
Mg2^ix—Mg1—Mg4^xi	64.12 (5)	Mg6^ix—Mg8—Mg1^ix	102.72 (6)
Mg2ⁱⁱ—Mg1—Mg4^xi	64.63 (4)	Mg6—Mg8—Mg1^ix	87.73 (6)
Mg7^ix—Mg1—Mg4^xi	101.27 (5)	Mg10—Mg8—Mg1^ix	148.90 (7)
Mg10—Mg1—Mg4^xi	117.60 (5)	Ru3—Mg8—Mg2	65.25 (4)
Mg8^ix—Mg1—Mg4^xi	96.99 (5)	Ru2ⁱ—Mg8—Mg2	109.37 (6)
Ru1^xviii—Mg1—Mg4^xi	50.42 (2)	Mg3—Mg8—Mg2	99.43 (5)
Ru1—Mg1—Mg9	57.01 (3)	Mg11^xiii—Mg8—Mg2	74.32 (5)
Ru3^ix—Mg1—Mg9	135.87 (7)	Mg6^ix—Mg8—Mg2	133.29 (7)
Mg2^ix—Mg1—Mg9	108.60 (6)	Mg6—Mg8—Mg2	127.31 (6)
Mg2ⁱⁱ—Mg1—Mg9	84.62 (6)	Mg10—Mg8—Mg2	155.83 (7)
Mg7^ix—Mg1—Mg9	161.78 (7)	Mg1^ix—Mg8—Mg2	54.87 (5)
Mg10—Mg1—Mg9	57.12 (5)	Ru3—Mg8—Mg11	110.94 (5)
Mg8^ix—Mg1—Mg9	82.68 (6)	Ru2ⁱ—Mg8—Mg11	56.10 (4)
Ru1^xviii—Mg1—Mg9	109.83 (6)	Mg3—Mg8—Mg11	58.07 (4)
Mg4^xi—Mg1—Mg9	60.91 (4)	Mg11^xiii—Mg8—Mg11	59.92 (5)
Ru1—Mg1—Mg5^xiii	79.76 (5)	Mg6^ix—Mg8—Mg11	106.30 (6)
Ru3^ix—Mg1—Mg5^xiii	53.66 (4)	Mg6—Mg8—Mg11	158.63 (6)
Mg2^ix—Mg1—Mg5^xiii	122.19 (6)	Mg10—Mg8—Mg11	103.82 (6)
Mg2ⁱⁱ—Mg1—Mg5^xiii	110.94 (6)	Mg1^ix—Mg8—Mg11	106.07 (6)
Mg7^ix—Mg1—Mg5^xiii	82.33 (5)	Mg2—Mg8—Mg11	55.70 (5)
Mg10—Mg1—Mg5^xiii	59.28 (5)	Ru3—Mg8—Mg5ⁱⁱⁱ	55.21 (4)
Mg8^ix—Mg1—Mg5^xiii	87.04 (5)	Ru2ⁱ—Mg8—Mg5ⁱⁱⁱ	105.56 (5)
Ru1^xviii—Mg1—Mg5^xiii	131.78 (6)	Mg3—Mg8—Mg5ⁱⁱⁱ	57.45 (4)
Mg4^xi—Mg1—Mg5^xiii	173.67 (6)	Mg11^xiii—Mg8—Mg5ⁱⁱⁱ	117.95 (6)
Mg9—Mg1—Mg5^xiii	115.06 (6)	Mg6^ix—Mg8—Mg5ⁱⁱⁱ	161.55 (7)
Ru1—Mg1—Mg7ⁱ	48.03 (2)	Mg6—Mg8—Mg5ⁱⁱⁱ	100.60 (6)
Ru3^ix—Mg1—Mg7ⁱ	99.98 (4)	Mg10—Mg8—Mg5ⁱⁱⁱ	106.37 (6)
Mg2^ix—Mg1—Mg7ⁱ	140.77 (6)	Mg1^ix—Mg8—Mg5ⁱⁱⁱ	94.85 (6)
Mg2ⁱⁱ—Mg1—Mg7ⁱ	54.61 (5)	Mg2—Mg8—Mg5ⁱⁱⁱ	54.77 (5)
Mg7^ix—Mg1—Mg7ⁱ	79.51 (3)	Mg11—Mg8—Mg5ⁱⁱⁱ	62.71 (5)
Mg10—Mg1—Mg7ⁱ	84.15 (5)	Ru3—Mg8—Mg6^xi	59.07 (4)
Mg8^ix—Mg1—Mg7ⁱ	142.69 (7)	Ru2ⁱ—Mg8—Mg6^xi	106.99 (5)
Ru1^xviii—Mg1—Mg7ⁱ	96.16 (5)	Mg3—Mg8—Mg6^xi	55.81 (4)
Mg4^xi—Mg1—Mg7ⁱ	118.88 (5)	Mg11^xiii—Mg8—Mg6^xi	161.91 (6)
Mg9—Mg1—Mg7ⁱ	105.00 (4)	Mg6^ix—Mg8—Mg6^xi	121.84 (5)
Mg5^xiii—Mg1—Mg7ⁱ	56.36 (4)	Mg6—Mg8—Mg6^xi	54.63 (5)
Ru1^vi—Mg2—Mg1^ix	68.14 (5)	Mg10—Mg8—Mg6^xi	65.12 (5)
Ru1^vi—Mg2—Ru1ⁱⁱⁱ	123.70 (6)	Mg1^ix—Mg8—Mg6^xi	114.59 (6)
Mg1^ix—Mg2—Ru1ⁱⁱⁱ	164.30 (7)	Mg2—Mg8—Mg6^xi	104.81 (6)
Ru1^vi—Mg2—Mg5ⁱⁱⁱ	142.29 (7)	Mg11—Mg8—Mg6^xi	104.20 (5)
Mg1^ix—Mg2—Mg5ⁱⁱⁱ	107.31 (7)	Mg5ⁱⁱⁱ—Mg8—Mg6^xi	53.08 (4)
Ru1ⁱⁱⁱ—Mg2—Mg5ⁱⁱⁱ	56.99 (4)	Ru1—Mg9—Ru1^xi	134.47 (9)
Ru1^vi—Mg2—Mg11	147.46 (7)	Ru1—Mg9—Mg10^xi	157.83 (4)
Mg1^ix—Mg2—Mg11	119.12 (7)	Ru1^xi—Mg9—Mg10^xi	58.38 (3)
Ru1ⁱⁱⁱ—Mg2—Mg11	57.71 (4)	Ru1—Mg9—Mg10	58.38 (3)
Mg5ⁱⁱⁱ—Mg2—Mg11	68.97 (5)	Ru1^xi—Mg9—Mg10	157.83 (4)
Ru1^vi—Mg2—Mg1^vi	59.04 (4)	Mg10^xi—Mg9—Mg10	117.45 (9)
Mg1^ix—Mg2—Mg1^vi	123.56 (6)	Ru1—Mg9—Mg11^xii	135.50 (3)
Ru1ⁱⁱⁱ—Mg2—Mg1^vi	65.22 (4)	Ru1^xi—Mg9—Mg11^xii	57.61 (3)
Mg5ⁱⁱⁱ—Mg2—Mg1^vi	102.65 (6)	Mg10^xi—Mg9—Mg11^xii	65.30 (5)
Mg11—Mg2—Mg1^vi	115.94 (6)	Mg10—Mg9—Mg11^xii	100.34 (5)
Ru1^vi—Mg2—Mg7	55.29 (4)	Ru1—Mg9—Mg11ⁱⁱⁱ	57.61 (3)
Mg1^ix—Mg2—Mg7	60.80 (5)	Ru1^xi—Mg9—Mg11ⁱⁱⁱ	135.51 (3)
Ru1ⁱⁱⁱ—Mg2—Mg7	115.38 (5)	Mg10^xi—Mg9—Mg11ⁱⁱⁱ	100.34 (5)
Mg5ⁱⁱⁱ—Mg2—Mg7	89.01 (6)	Mg10—Mg9—Mg11ⁱⁱⁱ	65.30 (5)
Mg11—Mg2—Mg7	157.24 (8)	Mg11^xii—Mg9—Mg11ⁱⁱⁱ	153.45 (10)
Mg1^vi—Mg2—Mg7	73.32 (5)	Ru1—Mg9—Mg1	55.36 (3)
Ru1^vi—Mg2—Mg8	130.10 (6)	Ru1^xi—Mg9—Mg1	109.88 (5)
Mg1^ix—Mg2—Mg8	62.52 (5)	Mg10^xi—Mg9—Mg1	144.55 (5)
Ru1ⁱⁱⁱ—Mg2—Mg8	106.15 (5)	Mg10—Mg9—Mg1	59.45 (4)
Mg5ⁱⁱⁱ—Mg2—Mg8	64.23 (5)	Mg11^xii—Mg9—Mg1	80.16 (4)
Mg11—Mg2—Mg8	62.47 (5)	Mg11ⁱⁱⁱ—Mg9—Mg1	107.84 (4)
Mg1^vi—Mg2—Mg8	166.77 (7)	Ru1—Mg9—Mg1^xi	109.88 (5)
Mg7—Mg2—Mg8	103.47 (6)	Ru1^xi—Mg9—Mg1^xi	55.36 (3)
Ru1^vi—Mg2—Mg4^vi	52.92 (3)	Mg10^xi—Mg9—Mg1^xi	59.45 (4)
Mg1^ix—Mg2—Mg4^vi	61.94 (4)	Mg10—Mg9—Mg1^xi	144.55 (5)
Ru1ⁱⁱⁱ—Mg2—Mg4^vi	132.64 (6)	Mg11^xii—Mg9—Mg1^xi	107.84 (4)
Mg5ⁱⁱⁱ—Mg2—Mg4^vi	159.73 (6)	Mg11ⁱⁱⁱ—Mg9—Mg1^xi	80.16 (4)
Mg11—Mg2—Mg4^vi	100.24 (6)	Mg1—Mg9—Mg1^xi	145.67 (10)
Mg1^vi—Mg2—Mg4^vi	97.50 (5)	Ru1—Mg9—Mg4	52.20 (3)
Mg7—Mg2—Mg4^vi	98.90 (4)	Ru1^xi—Mg9—Mg4	91.88 (5)
Mg8—Mg2—Mg4^vi	95.68 (5)	Mg10^xi—Mg9—Mg4	118.45 (3)
Ru1^vi—Mg2—Ru3	103.05 (5)	Mg10—Mg9—Mg4	107.56 (3)
Mg1^ix—Mg2—Ru3	54.61 (4)	Mg11^xii—Mg9—Mg4	143.32 (7)
Ru1ⁱⁱⁱ—Mg2—Ru3	110.19 (5)	Mg11ⁱⁱⁱ—Mg9—Mg4	62.75 (3)
Mg5ⁱⁱⁱ—Mg2—Ru3	54.45 (4)	Mg1—Mg9—Mg4	93.80 (5)
Mg11—Mg2—Ru3	106.07 (6)	Mg1^xi—Mg9—Mg4	59.43 (4)
Mg1^vi—Mg2—Ru3	119.25 (6)	Ru1—Mg9—Mg4^xi	91.88 (5)
Mg7—Mg2—Ru3	53.75 (5)	Ru1^xi—Mg9—Mg4^xi	52.20 (3)
Mg8—Mg2—Ru3	52.63 (4)	Mg10^xi—Mg9—Mg4^xi	107.56 (3)
Mg4^vi—Mg2—Ru3	116.43 (5)	Mg10—Mg9—Mg4^xi	118.45 (3)
Ru1^vi—Mg2—Mg4^xiv	92.82 (5)	Mg11^xii—Mg9—Mg4^xi	62.75 (3)
Mg1^ix—Mg2—Mg4^xiv	143.41 (7)	Mg11ⁱⁱⁱ—Mg9—Mg4^xi	143.32 (7)
Ru1ⁱⁱⁱ—Mg2—Mg4^xiv	51.22 (3)	Mg1—Mg9—Mg4^xi	59.43 (4)
Mg5ⁱⁱⁱ—Mg2—Mg4^xiv	106.48 (5)	Mg1^xi—Mg9—Mg4^xi	93.80 (5)
Mg11—Mg2—Mg4^xiv	62.15 (4)	Mg4—Mg9—Mg4^xi	82.91 (6)
Mg1^vi—Mg2—Mg4^xiv	60.56 (4)	Ru1—Mg9—Mg6	118.97 (5)
Mg7—Mg2—Mg4^xiv	133.38 (6)	Ru1^xi—Mg9—Mg6	102.75 (4)
Mg8—Mg2—Mg4^xiv	122.97 (6)	Mg10^xi—Mg9—Mg6	62.88 (5)
Mg4^vi—Mg2—Mg4^xiv	81.57 (4)	Mg10—Mg9—Mg6	60.66 (5)
Ru3—Mg2—Mg4^xiv	160.93 (5)	Mg11^xii—Mg9—Mg6	54.81 (5)
Ru2^xix—Mg3—Ru2ⁱ	180.000 (19)	Mg11ⁱⁱⁱ—Mg9—Mg6	99.09 (7)
Ru2^xix—Mg3—Mg10ⁱⁱⁱ	61.03 (3)	Mg1—Mg9—Mg6	91.29 (5)
Ru2ⁱ—Mg3—Mg10ⁱⁱⁱ	118.97 (3)	Mg1^xi—Mg9—Mg6	121.00 (6)
Ru2^xix—Mg3—Mg10	118.97 (3)	Mg4—Mg9—Mg6	161.83 (5)
Ru2ⁱ—Mg3—Mg10	61.03 (3)	Mg4^xi—Mg9—Mg6	114.54 (3)
Mg10ⁱⁱⁱ—Mg3—Mg10	180.0	Ru1—Mg9—Mg6^xi	102.75 (4)
Ru2^xix—Mg3—Mg6^xv	121.09 (3)	Ru1^xi—Mg9—Mg6^xi	118.97 (5)
Ru2ⁱ—Mg3—Mg6^xv	58.91 (3)	Mg10^xi—Mg9—Mg6^xi	60.66 (5)
Mg10ⁱⁱⁱ—Mg3—Mg6^xv	72.31 (4)	Mg10—Mg9—Mg6^xi	62.88 (5)
Mg10—Mg3—Mg6^xv	107.69 (4)	Mg11^xii—Mg9—Mg6^xi	99.09 (7)
Ru2^xix—Mg3—Mg6^xi	58.91 (3)	Mg11ⁱⁱⁱ—Mg9—Mg6^xi	54.81 (5)
Ru2ⁱ—Mg3—Mg6^xi	121.09 (3)	Mg1—Mg9—Mg6^xi	121.00 (6)
Mg10ⁱⁱⁱ—Mg3—Mg6^xi	107.69 (4)	Mg1^xi—Mg9—Mg6^xi	91.29 (5)
Mg10—Mg3—Mg6^xi	72.31 (4)	Mg4—Mg9—Mg6^xi	114.54 (3)
Mg6^xv—Mg3—Mg6^xi	180.0	Mg4^xi—Mg9—Mg6^xi	161.83 (5)
Ru2^xix—Mg3—Mg11ⁱⁱⁱ	59.25 (3)	Mg6—Mg9—Mg6^xi	48.71 (6)
Ru2ⁱ—Mg3—Mg11ⁱⁱⁱ	120.75 (3)	Ru1—Mg10—Mg3	102.11 (5)
Mg10ⁱⁱⁱ—Mg3—Mg11ⁱⁱⁱ	113.44 (4)	Ru1—Mg10—Ru2ⁱ	118.36 (5)
Mg10—Mg3—Mg11ⁱⁱⁱ	66.56 (4)	Mg3—Mg10—Ru2ⁱ	58.03 (3)
Mg6^xv—Mg3—Mg11ⁱⁱⁱ	118.48 (4)	Ru1—Mg10—Mg9	59.03 (4)
Mg6^xi—Mg3—Mg11ⁱⁱⁱ	61.52 (4)	Mg3—Mg10—Mg9	110.34 (5)
Ru2^xix—Mg3—Mg11	120.75 (3)	Ru2ⁱ—Mg10—Mg9	168.10 (6)
Ru2ⁱ—Mg3—Mg11	59.25 (3)	Ru1—Mg10—Mg5	56.69 (4)
Mg10ⁱⁱⁱ—Mg3—Mg11	66.56 (4)	Mg3—Mg10—Mg5	61.53 (4)
Mg10—Mg3—Mg11	113.44 (4)	Ru2ⁱ—Mg10—Mg5	63.61 (4)
Mg6^xv—Mg3—Mg11	61.52 (4)	Mg9—Mg10—Mg5	109.83 (6)
Mg6^xi—Mg3—Mg11	118.48 (4)	Ru1—Mg10—Mg6^ix	135.87 (6)
Mg11ⁱⁱⁱ—Mg3—Mg11	180.0	Mg3—Mg10—Mg6^ix	107.18 (5)
Ru2^xix—Mg3—Mg8ⁱⁱⁱ	60.01 (3)	Ru2ⁱ—Mg10—Mg6^ix	57.21 (4)
Ru2ⁱ—Mg3—Mg8ⁱⁱⁱ	119.99 (3)	Mg9—Mg10—Mg6^ix	133.63 (6)
Mg10ⁱⁱⁱ—Mg3—Mg8ⁱⁱⁱ	62.81 (4)	Mg5—Mg10—Mg6^ix	111.52 (6)
Mg10—Mg3—Mg8ⁱⁱⁱ	117.19 (4)	Ru1—Mg10—Mg8	162.17 (6)
Mg6^xv—Mg3—Mg8ⁱⁱⁱ	67.90 (4)	Mg3—Mg10—Mg8	60.69 (4)
Mg6^xi—Mg3—Mg8ⁱⁱⁱ	112.10 (4)	Ru2ⁱ—Mg10—Mg8	58.40 (4)
Mg11ⁱⁱⁱ—Mg3—Mg8ⁱⁱⁱ	63.85 (4)	Mg9—Mg10—Mg8	119.96 (7)
Mg11—Mg3—Mg8ⁱⁱⁱ	116.15 (4)	Mg5—Mg10—Mg8	112.81 (6)
Ru2^xix—Mg3—Mg8	119.99 (3)	Mg6^ix—Mg10—Mg8	59.49 (5)
Ru2ⁱ—Mg3—Mg8	60.01 (3)	Ru1—Mg10—Mg1	56.91 (4)
Mg10ⁱⁱⁱ—Mg3—Mg8	117.19 (4)	Mg3—Mg10—Mg1	158.81 (6)
Mg10—Mg3—Mg8	62.81 (4)	Ru2ⁱ—Mg10—Mg1	126.25 (6)
Mg6^xv—Mg3—Mg8	112.10 (4)	Mg9—Mg10—Mg1	63.43 (5)
Mg6^xi—Mg3—Mg8	67.90 (4)	Mg5—Mg10—Mg1	100.34 (6)
Mg11ⁱⁱⁱ—Mg3—Mg8	116.15 (4)	Mg6^ix—Mg10—Mg1	89.18 (6)
Mg11—Mg3—Mg8	63.85 (4)	Mg8—Mg10—Mg1	140.47 (7)
Mg8ⁱⁱⁱ—Mg3—Mg8	180.0	Ru1—Mg10—Mg5^xiii	82.41 (5)
Ru2^xix—Mg3—Mg5	115.39 (3)	Mg3—Mg10—Mg5^xiii	112.50 (6)
Ru2ⁱ—Mg3—Mg5	64.61 (3)	Ru2ⁱ—Mg10—Mg5^xiii	61.27 (4)
Mg10ⁱⁱⁱ—Mg3—Mg5	118.43 (4)	Mg9—Mg10—Mg5^xiii	126.94 (6)
Mg10—Mg3—Mg5	61.57 (4)	Mg5—Mg10—Mg5^xiii	67.40 (6)
Mg6^xv—Mg3—Mg5	58.87 (4)	Mg6^ix—Mg10—Mg5^xiii	56.21 (5)
Mg6^xi—Mg3—Mg5	121.13 (4)	Mg8—Mg10—Mg5^xiii	107.71 (6)
Mg11ⁱⁱⁱ—Mg3—Mg5	67.55 (4)	Mg1—Mg10—Mg5^xiii	65.22 (5)
Mg11—Mg3—Mg5	112.45 (4)	Ru1—Mg10—Mg11ⁱⁱⁱ	55.04 (4)
Mg8ⁱⁱⁱ—Mg3—Mg5	65.41 (4)	Mg3—Mg10—Mg11ⁱⁱⁱ	58.67 (4)
Mg8—Mg3—Mg5	114.59 (4)	Ru2ⁱ—Mg10—Mg11ⁱⁱⁱ	111.10 (6)
Ru2^xix—Mg3—Mg5ⁱⁱⁱ	64.61 (3)	Mg9—Mg10—Mg11ⁱⁱⁱ	57.36 (4)
Ru2ⁱ—Mg3—Mg5ⁱⁱⁱ	115.39 (3)	Mg5—Mg10—Mg11ⁱⁱⁱ	64.73 (5)
Mg10ⁱⁱⁱ—Mg3—Mg5ⁱⁱⁱ	61.57 (4)	Mg6^ix—Mg10—Mg11ⁱⁱⁱ	165.75 (7)
Mg10—Mg3—Mg5ⁱⁱⁱ	118.43 (4)	Mg8—Mg10—Mg11ⁱⁱⁱ	108.27 (6)
Mg6^xv—Mg3—Mg5ⁱⁱⁱ	121.13 (4)	Mg1—Mg10—Mg11ⁱⁱⁱ	104.95 (6)
Mg6^xi—Mg3—Mg5ⁱⁱⁱ	58.87 (4)	Mg5^xiii—Mg10—Mg11ⁱⁱⁱ	128.08 (6)
Mg11ⁱⁱⁱ—Mg3—Mg5ⁱⁱⁱ	112.45 (4)	Ru1—Mg10—Mg6	127.24 (6)
Mg11—Mg3—Mg5ⁱⁱⁱ	67.55 (4)	Mg3—Mg10—Mg6	98.18 (5)
Mg8ⁱⁱⁱ—Mg3—Mg5ⁱⁱⁱ	114.59 (4)	Ru2ⁱ—Mg10—Mg6	113.76 (5)
Mg8—Mg3—Mg5ⁱⁱⁱ	65.41 (4)	Mg9—Mg10—Mg6	68.30 (5)
Mg5—Mg3—Mg5ⁱⁱⁱ	180.0	Mg5—Mg10—Mg6	158.34 (6)
Ru1^xvi—Mg4—Ru1	180.0	Mg6^ix—Mg10—Mg6	80.40 (5)
Ru1^xvi—Mg4—Mg1^iv	115.22 (3)	Mg8—Mg10—Mg6	56.50 (5)
Ru1—Mg4—Mg1^iv	64.78 (3)	Mg1—Mg10—Mg6	97.77 (6)
Ru1^xvi—Mg4—Mg1^xi	64.78 (3)	Mg5^xiii—Mg10—Mg6	131.98 (6)
Ru1—Mg4—Mg1^xi	115.22 (3)	Mg11ⁱⁱⁱ—Mg10—Mg6	99.14 (5)
Mg1^iv—Mg4—Mg1^xi	180.00 (6)	Ru1—Mg10—Mg6^xi	106.00 (5)
Ru1^xvi—Mg4—Mg9^xvi	57.499 (8)	Mg3—Mg10—Mg6^xi	55.38 (4)
Ru1—Mg4—Mg9^xvi	122.501 (8)	Ru2ⁱ—Mg10—Mg6^xi	104.77 (5)
Mg1^iv—Mg4—Mg9^xvi	59.67 (3)	Mg9—Mg10—Mg6^xi	66.82 (5)
Mg1^xi—Mg4—Mg9^xvi	120.33 (3)	Mg5—Mg10—Mg6^xi	107.50 (6)
Ru1^xvi—Mg4—Mg9	122.501 (8)	Mg6^ix—Mg10—Mg6^xi	117.71 (5)
Ru1—Mg4—Mg9	57.499 (8)	Mg8—Mg10—Mg6^xi	61.37 (5)
Mg1^iv—Mg4—Mg9	120.33 (3)	Mg1—Mg10—Mg6^xi	128.68 (6)
Mg1^xi—Mg4—Mg9	59.67 (3)	Mg5^xiii—Mg10—Mg6^xi	166.04 (6)
Mg9^xvi—Mg4—Mg9	180.0	Mg11ⁱⁱⁱ—Mg10—Mg6^xi	54.43 (4)
Ru1^xvi—Mg4—Mg2^x	54.33 (3)	Mg6—Mg10—Mg6^xi	51.24 (5)
Ru1—Mg4—Mg2^x	125.67 (3)	Ru1ⁱⁱⁱ—Mg11—Ru2ⁱ	155.70 (6)
Mg1^iv—Mg4—Mg2^x	126.06 (4)	Ru1ⁱⁱⁱ—Mg11—Mg2	60.28 (4)
Mg1^xi—Mg4—Mg2^x	53.94 (4)	Ru2ⁱ—Mg11—Mg2	116.17 (6)
Mg9^xvi—Mg4—Mg2^x	79.97 (3)	Ru1ⁱⁱⁱ—Mg11—Mg9ⁱⁱⁱ	59.37 (4)
Mg9—Mg4—Mg2^x	100.03 (3)	Ru2ⁱ—Mg11—Mg9ⁱⁱⁱ	128.41 (6)
Ru1^xvi—Mg4—Mg2ⁱⁱ	125.67 (3)	Mg2—Mg11—Mg9ⁱⁱⁱ	115.27 (7)
Ru1—Mg4—Mg2ⁱⁱ	54.33 (3)	Ru1ⁱⁱⁱ—Mg11—Mg3	99.74 (4)
Mg1^iv—Mg4—Mg2ⁱⁱ	53.94 (4)	Ru2ⁱ—Mg11—Mg3	56.62 (3)
Mg1^xi—Mg4—Mg2ⁱⁱ	126.06 (4)	Mg2—Mg11—Mg3	104.09 (6)
Mg9^xvi—Mg4—Mg2ⁱⁱ	100.03 (3)	Mg9ⁱⁱⁱ—Mg11—Mg3	106.81 (6)
Mg9—Mg4—Mg2ⁱⁱ	79.97 (3)	Ru1ⁱⁱⁱ—Mg11—Mg8^xiii	142.98 (6)
Mg2^x—Mg4—Mg2ⁱⁱ	180.00 (7)	Ru2ⁱ—Mg11—Mg8^xiii	58.97 (4)
Ru1^xvi—Mg4—Mg11ⁱⁱⁱ	123.95 (3)	Mg2—Mg11—Mg8^xiii	132.77 (7)
Ru1—Mg4—Mg11ⁱⁱⁱ	56.05 (3)	Mg9ⁱⁱⁱ—Mg11—Mg8^xiii	88.30 (5)
Mg1^iv—Mg4—Mg11ⁱⁱⁱ	103.39 (4)	Mg3—Mg11—Mg8^xiii	107.16 (5)
Mg1^xi—Mg4—Mg11ⁱⁱⁱ	76.61 (4)	Ru1ⁱⁱⁱ—Mg11—Mg6^xv	118.30 (5)
Mg9^xvi—Mg4—Mg11ⁱⁱⁱ	124.90 (4)	Ru2ⁱ—Mg11—Mg6^xv	57.19 (4)
Mg9—Mg4—Mg11ⁱⁱⁱ	55.10 (4)	Mg2—Mg11—Mg6^xv	163.04 (7)
Mg2^x—Mg4—Mg11ⁱⁱⁱ	70.40 (4)	Mg9ⁱⁱⁱ—Mg11—Mg6^xv	72.30 (6)
Mg2ⁱⁱ—Mg4—Mg11ⁱⁱⁱ	109.60 (4)	Mg3—Mg11—Mg6^xv	58.98 (4)
Ru1^xvi—Mg4—Mg11^xvii	56.05 (3)	Mg8^xiii—Mg11—Mg6^xv	59.88 (5)
Ru1—Mg4—Mg11^xvii	123.95 (3)	Ru1ⁱⁱⁱ—Mg11—Mg11^xiii	134.07 (4)
Mg1^iv—Mg4—Mg11^xvii	76.61 (4)	Ru2ⁱ—Mg11—Mg11^xiii	57.31 (3)
Mg1^xi—Mg4—Mg11^xvii	103.39 (4)	Mg2—Mg11—Mg11^xiii	76.07 (5)
Mg9^xvi—Mg4—Mg11^xvii	55.10 (4)	Mg9ⁱⁱⁱ—Mg11—Mg11^xiii	142.44 (7)
Mg9—Mg4—Mg11^xvii	124.90 (4)	Mg3—Mg11—Mg11^xiii	104.29 (4)
Mg2^x—Mg4—Mg11^xvii	109.60 (4)	Mg8^xiii—Mg11—Mg11^xiii	62.53 (5)
Mg2ⁱⁱ—Mg4—Mg11^xvii	70.40 (4)	Mg6^xv—Mg11—Mg11^xiii	107.62 (5)
Mg11ⁱⁱⁱ—Mg4—Mg11^xvii	180.000 (14)	Ru1ⁱⁱⁱ—Mg11—Mg8	107.59 (5)
Ru1^xvi—Mg4—Mg2ⁱⁱⁱ	122.97 (3)	Ru2ⁱ—Mg11—Mg8	57.11 (4)
Ru1—Mg4—Mg2ⁱⁱⁱ	57.03 (3)	Mg2—Mg11—Mg8	61.83 (5)
Mg1^iv—Mg4—Mg2ⁱⁱⁱ	54.81 (4)	Mg9ⁱⁱⁱ—Mg11—Mg8	159.99 (6)
Mg1^xi—Mg4—Mg2ⁱⁱⁱ	125.19 (4)	Mg3—Mg11—Mg8	58.08 (4)
Mg9^xvi—Mg4—Mg2ⁱⁱⁱ	79.12 (3)	Mg8^xiii—Mg11—Mg8	108.10 (6)
Mg9—Mg4—Mg2ⁱⁱⁱ	100.88 (3)	Mg6^xv—Mg11—Mg8	105.55 (6)
Mg2^x—Mg4—Mg2ⁱⁱⁱ	85.53 (5)	Mg11^xiii—Mg11—Mg8	57.55 (5)
Mg2ⁱⁱ—Mg4—Mg2ⁱⁱⁱ	94.47 (5)	Ru1ⁱⁱⁱ—Mg11—Mg10ⁱⁱⁱ	56.04 (4)
Mg11ⁱⁱⁱ—Mg4—Mg2ⁱⁱⁱ	53.84 (4)	Ru2ⁱ—Mg11—Mg10ⁱⁱⁱ	106.11 (5)
Mg11^xvii—Mg4—Mg2ⁱⁱⁱ	126.16 (4)	Mg2—Mg11—Mg10ⁱⁱⁱ	103.72 (6)
Ru1^xvi—Mg4—Mg2^xvii	57.03 (3)	Mg9ⁱⁱⁱ—Mg11—Mg10ⁱⁱⁱ	57.34 (4)
Ru1—Mg4—Mg2^xvii	122.97 (3)	Mg3—Mg11—Mg10ⁱⁱⁱ	54.77 (4)
Mg1^iv—Mg4—Mg2^xvii	125.19 (4)	Mg8^xiii—Mg11—Mg10ⁱⁱⁱ	123.16 (6)
Mg1^xi—Mg4—Mg2^xvii	54.81 (4)	Mg6^xv—Mg11—Mg10ⁱⁱⁱ	66.65 (5)
Mg9^xvi—Mg4—Mg2^xvii	100.88 (3)	Mg11^xiii—Mg11—Mg10ⁱⁱⁱ	158.75 (6)
Mg9—Mg4—Mg2^xvii	79.12 (3)	Mg8—Mg11—Mg10ⁱⁱⁱ	103.13 (6)
Mg2^x—Mg4—Mg2^xvii	94.47 (5)	Ru1ⁱⁱⁱ—Mg11—Mg4^xiv	52.36 (2)
Mg2ⁱⁱ—Mg4—Mg2^xvii	85.53 (5)	Ru2ⁱ—Mg11—Mg4^xiv	150.92 (5)
Mg11ⁱⁱⁱ—Mg4—Mg2^xvii	126.16 (4)	Mg2—Mg11—Mg4^xiv	64.02 (4)
Mg11^xvii—Mg4—Mg2^xvii	53.84 (4)	Mg9ⁱⁱⁱ—Mg11—Mg4^xiv	62.14 (5)
Mg2ⁱⁱⁱ—Mg4—Mg2^xvii	180.00 (6)	Mg3—Mg11—Mg4^xiv	152.10 (5)
Ru1—Mg5—Ru3ⁱⁱⁱ	127.09 (6)	Mg8^xiii—Mg11—Mg4^xiv	98.36 (5)
Ru1—Mg5—Mg6^xv	160.41 (7)	Mg6^xv—Mg11—Mg4^xiv	130.20 (6)
Ru3ⁱⁱⁱ—Mg5—Mg6^xv	64.20 (4)	Mg11^xiii—Mg11—Mg4^xiv	97.28 (3)
Ru1—Mg5—Mg2ⁱⁱⁱ	60.80 (4)	Mg8—Mg11—Mg4^xiv	124.15 (5)
Ru3ⁱⁱⁱ—Mg5—Mg2ⁱⁱⁱ	68.06 (5)	Mg10ⁱⁱⁱ—Mg11—Mg4^xiv	101.66 (5)
Mg6^xv—Mg5—Mg2ⁱⁱⁱ	121.82 (7)	Ru1ⁱⁱⁱ—Mg11—Mg5ⁱⁱⁱ	53.03 (4)
Ru1—Mg5—Mg3	100.33 (5)	Ru2ⁱ—Mg11—Mg5ⁱⁱⁱ	103.98 (5)
Ru3ⁱⁱⁱ—Mg5—Mg3	104.28 (5)	Mg2—Mg11—Mg5ⁱⁱⁱ	55.38 (5)
Mg6^xv—Mg5—Mg3	60.11 (4)	Mg9ⁱⁱⁱ—Mg11—Mg5ⁱⁱⁱ	101.57 (5)
Mg2ⁱⁱⁱ—Mg5—Mg3	104.07 (6)	Mg3—Mg11—Mg5ⁱⁱⁱ	56.38 (4)
Ru1—Mg5—Mg10	58.99 (4)	Mg8^xiii—Mg11—Mg5ⁱⁱⁱ	162.57 (6)
Ru3ⁱⁱⁱ—Mg5—Mg10	160.57 (6)	Mg6^xv—Mg11—Mg5ⁱⁱⁱ	109.19 (6)
Mg6^xv—Mg5—Mg10	104.98 (6)	Mg11^xiii—Mg11—Mg5ⁱⁱⁱ	113.06 (7)
Mg2ⁱⁱⁱ—Mg5—Mg10	109.38 (6)	Mg8—Mg11—Mg5ⁱⁱⁱ	59.74 (4)
Mg3—Mg5—Mg10	56.90 (4)	Mg10ⁱⁱⁱ—Mg11—Mg5ⁱⁱⁱ	54.59 (5)
Ru1—Mg5—Ru2ⁱ	113.22 (5)	Mg4^xiv—Mg11—Mg5ⁱⁱⁱ	98.95 (4)

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

Funding information

Funding for this research was provided by: The National Natural Science Foundation of China (grant No. 52173231; grant No. 51925105); Hebei Natural Science Foundation (grant No. E2022203182); The Innovation Ability Promotion Project of Hebei supported by Hebei Key Lab for Optimizing Metal Product Technology and Performance (grant No. 22567609H).

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