Crystal structure of Al45Cr7C0.32

Liu, C.; Fan, C.

doi:10.1107/S2414314618000937

inorganic compounds

IUCrDATA

ISSN: 2414-3146

Volume 3| Part 1| January 2018| x180093

https://doi.org/10.1107/S2414314618000937

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Crystal structure of Al₄₅Cr₇C_0.32

Cong Liu ^a and Changzeng Fan ^a ^*

^aState Key Laboratory of Metastable Materials Science and Technology, 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 14 November 2017; accepted 15 January 2018; online 19 January 2018)

During a high-pressure sintering (HPS) process of a stoichiometric Al₇Cr mixture, the ternary phase Al₄₅Cr₇C_0.32 (pentatetracontaaluminium heptachromium carbide) was obtained serendipitously. The C atom (occupancy 0.32) is irregularly surrounded by six Al atoms.

Keywords: high-pressure sintering; intermetallics; Al–Cr phase diagram; crystal structure.

CCDC reference: 1816969

Structure description

Phase formation of a quasicrystalline phase in an Al–Cr alloy by ion irradiation of an amorphous film was reported by Lilienfeld et al. (1986 ). The structure of the binary phase Al₄₅Cr₇ (θ-Al₇Cr) phase was determined by Cooper (1960 ) in the space group C2/m, with a = 25.196, b = 7.574, c = 10.949 Å, β = 128° 43′. This phase is isotypic with Al₄₅V₇. In a redetermination of θ-Al₇Cr, He et al. (2006 ) used a different unit-cell setting with a = 20.595, b = 7.574, c = 10.949 Å, β = 107.34°. During a project aimed at formation of quasicrystalline material in the Al–Cr system under high-pressure conditions, we obtained the title compound and learned that light atoms can be incorporated into the Al₄₅Cr₇ host structure. We attribute the slight increase in the unit-cell lengths and the decrease in the monoclinic angle in comparison with the values of the binary phase reported by He et al. (2006) (Δa = 0.028 Å, Δb = 0.016 Å, Δc = 0.0136 Å, Δβ = −0.03°) to the presence of partially occupied light atoms that must have been diffused into the crystal structure during the HPS process, or were present as impurities in the employed metals. In principle, the light atoms could be boron, nitrogen (from the BN crucible), or carbon (from the graphite liner). In fact, we found that the educts were contaminated by small amounts of carbon (see Supplementary information).

The asymmetric unit of Al₄₅Cr₇C_0.32 comprises of sixteen Al, three Cr and one partially occupied C sites (occupancy 0.32). Since the host structure has been described in detail (Cooper, 1960; He et al., 2006), we discuss here only the role of the additional carbon atom in Al₄₅Cr₇C_0.32. The position of the C1 atom in the crystal structure can be seen in Fig. 1. It is located on a site with symmetry m (Wyckoff position 4i) and is connected to six Al atoms that form an irregular polyhedron (Fig. 2). The distances between C1 and Al1, Al3, Al5 and Al7 are 1.878 (16), 2.351 (16), 2.497 (6) and 2.378 (13) Å, respectively.

Figure 1
The crystal structure of Al₄₅Cr₇C_0.32. The Al₆ polyhedra around C1 atoms are emphasized.

Figure 2
The coordination sphere of the underoccupied C1 atom in detail. Displacement ellipsoids are given at the 99% probability level. [Symmetry codes: (i) −x + $[{1\over 2}]$ , −y + $[{1\over 2}]$ , −z + 1; (ii) −x + $[{1\over 2}]$ , y + $[{1\over 2}]$ , −z + 1; (iii) −x + $[{1\over 2}]$ , −y + $[{3\over 2}]$ , −z + 1; (iv) −x + $[{1\over 2}]$ , y − $[{1\over 2}]$ , −z + 1]

Synthesis and crystallization

The elements Al (indicated purity 99.8%) and Cr (indicated purity 99.95%) were mixed in the stoichiometric ratio of 7:1 and initially ground in an agate mortar. The blended powders were then placed into a grinding tool with a diameter of 9.6 mm and pressed into a tablet at about 3.5 MPa slowly and continuously for about 5 minutes. A cylindrical block 9.6 mm in diameter and 10.0 mm in height was obtained without any defects such as cracks or deformations. The cylindrical block was then inserted into a six-anvil high-pressure apparatus for HPS experiments, pressurized up to 5 GPa and heated to 1183 K for 30 minutes, cooled to 1033 K and held at that temperature for 2 h, and then rapidly cooled down to room temperature. A fragment 0.05 × 0.04 × 0.02 mm³ in size was selected and mounted on a glass fiber for single-crystal X-ray diffraction measurements.

Refinement

Crystal data, data collection and structure refinement details are summarized in Table 1. After consideration of all atoms in the Al₄₅Cr₇ structure, we found significant remaining electron density (2.1 e⁻ Å³) that was modelled as a carbon atom with partial occupancy. The site occupation factor was refined freely and converged at 0.160 (11). The C atom was treated with an ISOR command to get a physically reasonable shape. The remaining maximum and minimum electron densities are located 0.88 Å from atom Al6 and 0.48 Å from atom Cr1, respectively.

Table 1
Experimental details

Crystal data
Chemical formula	Al₄₅Cr₇C_0.32
M_r	1581.95
Crystal system, space group	Monoclinic, C2/m
Temperature (K)	293
a, b, c (Å)	20.623 (2), 7.5900 (9), 10.9626 (13)
β (°)	107.310 (3)
V (Å³)	1638.2 (3)
Z	2
Radiation type	Mo Kα
μ (mm⁻¹)	3.46
Crystal size (mm)	0.05 × 0.04 × 0.02

Data collection
Diffractometer	Bruker APEXII Photon 100 CMOS
Absorption correction	Multi-scan (SADABS; Bruker, 2015 )
T_min, T_max	0.553, 0.746
No. of measured, independent and observed [I > 2σ(I)] reflections	9513, 2191, 1903
R_int	0.038
(sin θ/λ)_max (Å⁻¹)	0.669

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.027, 0.060, 1.03
No. of reflections	2191
No. of parameters	142
No. of restraints	6
Δρ_max, Δρ_min (e Å⁻³)	0.54, −0.71
Computer programs: APEX3 and SAINT (Bruker, 2015), SHELXT (Sheldrick, 2015a ), SHELXL2014/7 (Sheldrick, 2015b ), DIAMOND (Brandenburg & Putz, 2017 ) and publCIF (Westrip, 2010 ).

Structural data

CCDC reference: 1816969

Crystal structure: contains datablock I. DOI: https://doi.org/10.1107/S2414314618000937/wm4061sup1.cif

Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2414314618000937/wm4061Isup2.hkl

Carbon analysis results. DOI: https://doi.org/10.1107/S2414314618000937/wm4061sup3.pdf

checkCIF report

Computing details top

Data collection: APEX3 (Bruker, 2015); cell refinement: SAINT (Bruker, 2015); data reduction: SAINT (Bruker, 2015); program(s) used to solve structure: SHELXT (Sheldrick, 2015a); program(s) used to refine structure: SHELXL2014/7 (Sheldrick, 2015b); molecular graphics: DIAMOND (Brandenburg & Putz, 2017); software used to prepare material for publication: publCIF (Westrip, 2010).

Pentatetracontaaluminium heptachromium carbide top

Crystal data top

C_0.32Al₄₅Cr₇	F(000) = 1510
M_r = 1581.95	D_x = 3.207 Mg m⁻³
Monoclinic, C2/m	Mo Kα radiation, λ = 0.71073 Å
a = 20.623 (2) Å	Cell parameters from 1903 reflections
b = 7.5900 (9) Å	θ = 2.9–28.4°
c = 10.9626 (13) Å	µ = 3.46 mm⁻¹
β = 107.310 (3)°	T = 293 K
V = 1638.2 (3) Å³	Grain, metallic
Z = 2	0.05 × 0.04 × 0.02 mm

Data collection top

Bruker APEXII Photon 100 CMOS diffractometer	1903 reflections with I > 2σ(I)
phi and ω scans	R_int = 0.038
Absorption correction: multi-scan (SADABS; Bruker, 2015)	θ_max = 28.4°, θ_min = 2.9°
T_min = 0.553, T_max = 0.746	h = −27→27
9513 measured reflections	k = −10→9
2191 independent reflections	l = −14→14

Refinement top

Refinement on F²	142 parameters
Least-squares matrix: full	6 restraints
R[F² > 2σ(F²)] = 0.027	w = 1/[σ²(F_o²) + (0.0188P)² + 4.4834P] where P = (F_o² + 2F_c²)/3
wR(F²) = 0.060	(Δ/σ)_max = 0.001
S = 1.02	Δρ_max = 0.54 e Å⁻³
2191 reflections	Δρ_min = −0.71 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	Occ. (<1)
Al1	0.09059 (5)	0.5000	0.34230 (10)	0.0142 (2)
Cr1	0.0000	0.5000	0.5000	0.00839 (15)
C1	0.1632 (8)	0.5000	0.2718 (16)	0.003 (5)	0.160 (11)
Al2	0.12849 (5)	0.5000	0.61192 (9)	0.0116 (2)
Cr2	0.25029 (2)	0.5000	0.73869 (5)	0.00844 (12)
Al3	0.22392 (5)	0.5000	0.49039 (9)	0.0115 (2)
Cr3	0.58523 (2)	0.32368 (5)	0.91792 (3)	0.00790 (9)
Al4	0.29353 (3)	0.68643 (9)	0.36573 (7)	0.01277 (15)
Al5	0.33511 (4)	0.69296 (10)	0.64551 (7)	0.01313 (15)
Al6	0.37439 (4)	0.5000	0.86551 (9)	0.00862 (19)
Al7	0.31030 (3)	0.18598 (10)	0.88132 (7)	0.01337 (16)
Al8	0.29273 (5)	0.5000	1.01491 (9)	0.0114 (2)
Al9	0.5000	0.5000	1.0000	0.0076 (3)
Al10	0.45400 (3)	0.19674 (9)	0.87763 (6)	0.01182 (15)
Al11	0.47798 (5)	0.5000	0.74372 (9)	0.0109 (2)
Al12	0.43072 (3)	0.31858 (9)	0.51014 (7)	0.01300 (16)
Al13	0.53571 (3)	0.18856 (9)	0.70481 (6)	0.01140 (15)
Al14	0.61492 (5)	0.5000	0.72906 (9)	0.0113 (2)
Al15	0.68150 (3)	0.18638 (9)	0.85428 (6)	0.01101 (15)
Al16	0.58033 (5)	0.0000	0.93926 (9)	0.0111 (2)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Al1	0.0138 (5)	0.0110 (5)	0.0149 (5)	0.000	0.0000 (4)	0.000
Cr1	0.0091 (3)	0.0064 (4)	0.0092 (3)	0.000	0.0020 (3)	0.000
C1	0.005 (6)	0.001 (6)	0.003 (6)	0.000	0.001 (4)	0.000
Al2	0.0094 (4)	0.0112 (5)	0.0137 (5)	0.000	0.0027 (4)	0.000
Cr2	0.0080 (2)	0.0083 (3)	0.0091 (2)	0.000	0.00262 (19)	0.000
Al3	0.0122 (4)	0.0102 (5)	0.0126 (5)	0.000	0.0043 (4)	0.000
Cr3	0.00858 (17)	0.00604 (19)	0.00929 (17)	−0.00005 (13)	0.00299 (13)	−0.00042 (13)
Al4	0.0141 (3)	0.0102 (4)	0.0153 (3)	0.0005 (3)	0.0065 (3)	0.0020 (3)
Al5	0.0149 (3)	0.0113 (4)	0.0140 (3)	−0.0015 (3)	0.0055 (3)	0.0013 (3)
Al6	0.0078 (4)	0.0077 (5)	0.0097 (4)	0.000	0.0016 (3)	0.000
Al7	0.0132 (3)	0.0118 (4)	0.0145 (3)	0.0005 (3)	0.0030 (3)	0.0011 (3)
Al8	0.0110 (4)	0.0088 (5)	0.0139 (5)	0.000	0.0031 (4)	0.000
Al9	0.0067 (6)	0.0065 (7)	0.0100 (6)	0.000	0.0031 (5)	0.000
Al10	0.0140 (3)	0.0091 (4)	0.0133 (3)	−0.0007 (3)	0.0056 (3)	−0.0007 (3)
Al11	0.0131 (4)	0.0083 (5)	0.0116 (4)	0.000	0.0041 (4)	0.000
Al12	0.0137 (3)	0.0114 (4)	0.0130 (3)	0.0011 (3)	0.0026 (3)	−0.0006 (3)
Al13	0.0130 (3)	0.0090 (4)	0.0114 (3)	−0.0002 (3)	0.0024 (3)	−0.0015 (3)
Al14	0.0137 (5)	0.0080 (5)	0.0131 (5)	0.000	0.0050 (4)	0.000
Al15	0.0113 (3)	0.0088 (4)	0.0139 (3)	0.0006 (3)	0.0052 (3)	−0.0007 (3)
Al16	0.0146 (5)	0.0060 (5)	0.0135 (5)	0.000	0.0054 (4)	0.000

Geometric parameters (Å, º) top

Al1—C1	1.878 (16)	Al6—Al7^viii	2.7557 (9)
Al1—Al3	2.7458 (14)	Al6—Al7	2.7557 (9)
Al1—Al10ⁱ	2.7512 (11)	Al6—Al10^viii	2.8073 (9)
Al1—Al10ⁱⁱ	2.7512 (11)	Al6—Al10	2.8073 (9)
Al1—Al5ⁱⁱⁱ	2.7703 (9)	Al6—Al11	2.8362 (13)
Al1—Al5^iv	2.7703 (9)	Al7—C1ⁱ	2.378 (13)
Al1—Al2	2.8235 (14)	Al7—Al15^vii	2.7592 (10)
Al1—Al13ⁱ	2.8807 (11)	Al7—Cr3^x	2.7848 (8)
Al1—Al13ⁱⁱ	2.8807 (11)	Al7—Al7^xii	2.8232 (15)
Al1—Cr1	2.8983 (11)	Al7—Al15^x	2.8528 (10)
Cr1—Al2	2.5674 (10)	Al7—Al8	2.8762 (9)
Cr1—Al2^v	2.5675 (10)	Al7—Al16^xiii	2.8824 (11)
Cr1—Al13ⁱ	2.5783 (7)	Al7—Al4^iv	2.9101 (10)
Cr1—Al13^vi	2.5783 (7)	Al7—Al5^viii	2.9284 (10)
Cr1—Al13^vii	2.5783 (7)	Al7—Al10	2.9768 (10)
Cr1—Al13ⁱⁱ	2.5783 (7)	Al8—Al15^ix	2.7480 (9)
Cr1—Al12^vii	2.8275 (8)	Al8—Al15^x	2.7480 (9)
Cr1—Al12ⁱⁱ	2.8275 (8)	Al8—Cr3^ix	2.7503 (9)
Cr1—Al12^vi	2.8275 (7)	Al8—Cr3^x	2.7503 (9)
Cr1—Al12ⁱ	2.8275 (7)	Al8—Al15^vii	2.8213 (11)
Cr1—Al1^v	2.8983 (11)	Al8—Al15^vi	2.8213 (11)
C1—Al1	1.878 (16)	Al8—Al7^viii	2.8761 (9)
C1—Al3	2.351 (16)	Al8—Al14^ix	2.8851 (14)
C1—Al7ⁱ	2.378 (13)	Al9—Al6^ix	2.5712 (9)
C1—Al7ⁱⁱ	2.378 (13)	Al9—Cr3^viii	2.5752 (4)
C1—Al5ⁱⁱⁱ	2.497 (6)	Al9—Cr3^x	2.5752 (4)
C1—Al5^iv	2.497 (6)	Al9—Cr3^ix	2.5752 (4)
Al2—Cr2	2.4827 (11)	Al9—Al10	2.6908 (7)
Al2—Al3	2.6849 (13)	Al9—Al10^ix	2.6908 (7)
Al2—Al13^vii	2.8116 (11)	Al9—Al10^viii	2.6908 (7)
Al2—Al13^vi	2.8116 (11)	Al9—Al10^x	2.6908 (7)
Al2—Al4ⁱⁱⁱ	2.8419 (9)	Al9—Al11^ix	2.7093 (10)
Al2—Al4^iv	2.8419 (9)	Al9—Al11	2.7093 (10)
Al2—Al12ⁱ	2.8558 (9)	Al10—Al1ⁱ	2.7512 (11)
Al2—Al12ⁱⁱ	2.8558 (9)	Al10—Al16^xiii	2.7579 (11)
Al2—Al15^vi	2.9201 (11)	Al10—Cr3^x	2.7722 (8)
Al2—Al15^vii	2.9201 (11)	Al10—Al10^x	2.7873 (14)
Cr2—Al6	2.5230 (11)	Al10—Al11	2.8513 (9)
Cr2—Al15^vii	2.5863 (8)	Al10—Al13	2.8866 (10)
Cr2—Al15^vi	2.5863 (8)	Al10—Al16	2.9028 (11)
Cr2—Al3	2.6123 (11)	Al10—Al10^xii	2.9864 (15)
Cr2—Al4^iv	2.6787 (8)	Al11—Al13	2.7366 (9)
Cr2—Al4ⁱⁱⁱ	2.6787 (8)	Al11—Al13^viii	2.7366 (9)
Cr2—Al5	2.7040 (8)	Al11—Cr3^viii	2.7958 (9)
Cr2—Al5^viii	2.7040 (8)	Al11—Al12	2.8139 (11)
Cr2—Al8	2.8910 (11)	Al11—Al12^viii	2.8139 (11)
Cr2—Al7^viii	2.9165 (8)	Al11—Al10^viii	2.8514 (9)
Cr2—Al7	2.9165 (8)	Al11—Al14	2.8758 (14)
Al3—Al4	2.6642 (11)	Al12—Al13	2.7326 (10)
Al3—Al4^viii	2.6642 (11)	Al12—Al12^viii	2.7539 (15)
Al3—Al5	2.8240 (11)	Al12—Al5^viii	2.7998 (10)
Al3—Al5^viii	2.8240 (11)	Al12—Al4^viii	2.8013 (10)
Al3—Al5^iv	2.8378 (9)	Al12—Al13^xiv	2.8242 (10)
Al3—Al5ⁱⁱⁱ	2.8378 (9)	Al12—Cr1^xv	2.8275 (7)
Al3—Al4ⁱⁱⁱ	2.9359 (9)	Al12—Al2ⁱ	2.8559 (9)
Al3—Al4^iv	2.9359 (9)	Al12—Al14^xi	2.8617 (11)
Cr3—Al16	2.4727 (5)	Al12—Al12^xiv	2.9313 (14)
Cr3—Al13	2.4765 (8)	Al13—Cr1^xv	2.5784 (7)
Cr3—Al15	2.5176 (8)	Al13—Al2^xv	2.8117 (11)
Cr3—Al9	2.5752 (4)	Al13—Al12^xiv	2.8243 (10)
Cr3—Al6^ix	2.6352 (9)	Al13—Al14	2.8404 (9)
Cr3—Cr3^viii	2.6766 (8)	Al13—Al16	2.8448 (11)
Cr3—Al14	2.6845 (9)	Al13—Al13^xii	2.8623 (14)
Cr3—Al8^ix	2.7503 (9)	Al13—Al1ⁱ	2.8806 (11)
Cr3—Al10^x	2.7722 (8)	Al13—Al15	2.9653 (10)
Cr3—Al10	2.7815 (8)	Al14—Cr3^viii	2.6844 (9)
Cr3—Al7^x	2.7848 (8)	Al14—Al4^xiv	2.7955 (11)
Cr3—Al11	2.7958 (9)	Al14—Al4^xi	2.7955 (11)
Al4—Cr2ⁱⁱⁱ	2.6787 (8)	Al14—Al13^viii	2.8404 (9)
Al4—Al5ⁱⁱⁱ	2.7743 (10)	Al14—Al12^xiv	2.8617 (11)
Al4—Al15^xi	2.7844 (10)	Al14—Al12^xi	2.8617 (11)
Al4—Al14^xi	2.7955 (11)	Al14—Al15	2.8835 (9)
Al4—Al12^viii	2.8012 (10)	Al14—Al15^viii	2.8835 (9)
Al4—Al4^viii	2.8300 (15)	Al14—Al8^ix	2.8851 (14)
Al4—Al2ⁱⁱⁱ	2.8419 (9)	Al15—Cr2^xv	2.5863 (8)
Al4—Al7ⁱⁱ	2.9101 (10)	Al15—Al8^ix	2.7480 (9)
Al4—Al5	2.9292 (10)	Al15—Al7^xvi	2.7592 (10)
Al4—Al3ⁱⁱⁱ	2.9359 (9)	Al15—Al4^xi	2.7844 (10)
Al5—C1ⁱⁱⁱ	2.497 (6)	Al15—Al8^xv	2.8214 (11)
Al5—Al6	2.7304 (10)	Al15—Al15^xii	2.8293 (14)
Al5—Al1ⁱⁱⁱ	2.7704 (9)	Al15—Al7^x	2.8528 (10)
Al5—Al4ⁱⁱⁱ	2.7742 (10)	Al15—Al16	2.8947 (11)
Al5—Al12^viii	2.7998 (10)	Al15—Al2^xv	2.9201 (11)
Al5—Al3ⁱⁱⁱ	2.8378 (9)	Al16—Cr3^xii	2.4727 (5)
Al5—Al7^viii	2.9285 (10)	Al16—Al10^x	2.7579 (11)
Al5—Al5^viii	2.9291 (15)	Al16—Al10^xiii	2.7579 (11)
Al6—Al9	2.5712 (9)	Al16—Al13^xii	2.8448 (11)
Al6—Cr3^ix	2.6352 (9)	Al16—Al7^x	2.8824 (11)
Al6—Cr3^x	2.6352 (9)	Al16—Al7^xiii	2.8824 (11)
Al6—Al8	2.6757 (13)	Al16—Al15^xii	2.8946 (11)
Al6—Al5^viii	2.7304 (11)	Al16—Al10^xii	2.9028 (11)

C1—Al1—Al3	57.5 (5)	Al15^x—Al7—Al16^xiii	60.62 (3)
C1—Al1—Al10ⁱ	74.8 (4)	Al8—Al7—Al16^xiii	104.47 (3)
Al3—Al1—Al10ⁱ	122.20 (4)	C1ⁱ—Al7—Al4^iv	66.7 (4)
C1—Al1—Al10ⁱⁱ	74.8 (4)	Al6—Al7—Al4^iv	100.04 (3)
Al3—Al1—Al10ⁱⁱ	122.20 (4)	Al15^vii—Al7—Al4^iv	58.76 (2)
Al10ⁱ—Al1—Al10ⁱⁱ	65.74 (4)	Cr3^x—Al7—Al4^iv	156.49 (3)
C1—Al1—Al5ⁱⁱⁱ	61.49 (15)	Al7^xii—Al7—Al4^iv	90.07 (2)
Al3—Al1—Al5ⁱⁱⁱ	61.92 (2)	Al15^x—Al7—Al4^iv	138.62 (3)
Al10ⁱ—Al1—Al5ⁱⁱⁱ	122.32 (4)	Al8—Al7—Al4^iv	107.67 (3)
Al10ⁱⁱ—Al1—Al5ⁱⁱⁱ	67.76 (2)	Al16^xiii—Al7—Al4^iv	147.71 (3)
C1—Al1—Al5^iv	61.49 (15)	C1ⁱ—Al7—Cr2	104.9 (3)
Al3—Al1—Al5^iv	61.92 (2)	Al6—Al7—Cr2	52.73 (2)
Al10ⁱ—Al1—Al5^iv	67.76 (2)	Al15^vii—Al7—Cr2	54.13 (2)
Al10ⁱⁱ—Al1—Al5^iv	122.32 (4)	Cr3^x—Al7—Cr2	102.83 (3)
Al5ⁱⁱⁱ—Al1—Al5^iv	114.53 (5)	Al7^xii—Al7—Cr2	144.809 (17)
C1—Al1—Al2	115.1 (5)	Al15^x—Al7—Cr2	115.55 (3)
Al3—Al1—Al2	57.62 (3)	Al8—Al7—Cr2	59.87 (3)
Al10ⁱ—Al1—Al2	146.47 (2)	Al16^xiii—Al7—Cr2	152.52 (3)
Al10ⁱⁱ—Al1—Al2	146.47 (2)	Al4^iv—Al7—Cr2	54.74 (2)
Al5ⁱⁱⁱ—Al1—Al2	88.43 (3)	C1ⁱ—Al7—Al5^viii	55.0 (2)
Al5^iv—Al1—Al2	88.43 (3)	Al6—Al7—Al5^viii	57.32 (3)
C1—Al1—Al13ⁱ	135.6 (4)	Al15^vii—Al7—Al5^viii	102.15 (3)
Al3—Al1—Al13ⁱ	143.03 (3)	Cr3^x—Al7—Al5^viii	106.42 (3)
Al10ⁱ—Al1—Al13ⁱ	61.62 (3)	Al7^xii—Al7—Al5^viii	108.29 (2)
Al10ⁱⁱ—Al1—Al13ⁱ	93.67 (4)	Al15^x—Al7—Al5^viii	157.44 (3)
Al5ⁱⁱⁱ—Al1—Al13ⁱ	152.15 (3)	Al8—Al7—Al5^viii	105.73 (3)
Al5^iv—Al1—Al13ⁱ	92.77 (2)	Al16^xiii—Al7—Al5^viii	116.70 (3)
Al2—Al1—Al13ⁱ	98.14 (4)	Al4^iv—Al7—Al5^viii	56.74 (2)
C1—Al1—Al13ⁱⁱ	135.6 (4)	Cr2—Al7—Al5^viii	55.11 (2)
Al3—Al1—Al13ⁱⁱ	143.03 (3)	C1ⁱ—Al7—Al10	64.4 (4)
Al10ⁱ—Al1—Al13ⁱⁱ	93.67 (4)	Al6—Al7—Al10	58.49 (2)
Al10ⁱⁱ—Al1—Al13ⁱⁱ	61.62 (3)	Al15^vii—Al7—Al10	156.82 (3)
Al5ⁱⁱⁱ—Al1—Al13ⁱⁱ	92.77 (2)	Cr3^x—Al7—Al10	57.41 (2)
Al5^iv—Al1—Al13ⁱⁱ	152.15 (3)	Al7^xii—Al7—Al10	91.572 (19)
Al2—Al1—Al13ⁱⁱ	98.14 (4)	Al15^x—Al7—Al10	104.80 (3)
Al13ⁱ—Al1—Al13ⁱⁱ	59.58 (4)	Al8—Al7—Al10	105.13 (3)
C1—Al1—Cr1	168.4 (5)	Al16^xiii—Al7—Al10	56.13 (3)
Al3—Al1—Cr1	110.92 (4)	Al4^iv—Al7—Al10	116.56 (3)
Al10ⁱ—Al1—Cr1	114.59 (3)	Cr2—Al7—Al10	103.63 (3)
Al10ⁱⁱ—Al1—Cr1	114.59 (3)	Al5^viii—Al7—Al10	62.82 (2)
Al5ⁱⁱⁱ—Al1—Cr1	114.62 (3)	Al6—Al8—Al15^ix	105.08 (3)
Al5^iv—Al1—Cr1	114.62 (3)	Al6—Al8—Al15^x	105.08 (3)
Al2—Al1—Cr1	53.30 (3)	Al15^ix—Al8—Al15^x	120.04 (5)
Al13ⁱ—Al1—Cr1	52.99 (2)	Al6—Al8—Cr3^ix	58.09 (3)
Al13ⁱⁱ—Al1—Cr1	52.99 (2)	Al15^ix—Al8—Cr3^ix	54.50 (2)
Al2—Cr1—Al2^v	180.0	Al15^x—Al8—Cr3^ix	105.21 (3)
Al2—Cr1—Al13ⁱ	113.76 (2)	Al6—Al8—Cr3^x	58.09 (3)
Al2^v—Cr1—Al13ⁱ	66.24 (2)	Al15^ix—Al8—Cr3^x	105.21 (3)
Al2—Cr1—Al13^vi	66.24 (2)	Al15^x—Al8—Cr3^x	54.50 (2)
Al2^v—Cr1—Al13^vi	113.76 (2)	Cr3^ix—Al8—Cr3^x	58.24 (3)
Al13ⁱ—Cr1—Al13^vi	180.0	Al6—Al8—Al15^vii	99.26 (4)
Al2—Cr1—Al13^vii	66.24 (2)	Al15^ix—Al8—Al15^vii	139.03 (4)
Al2^v—Cr1—Al13^vii	113.76 (2)	Al15^x—Al8—Al15^vii	83.48 (2)
Al13ⁱ—Cr1—Al13^vii	112.57 (3)	Cr3^ix—Al8—Al15^vii	156.98 (4)
Al13^vi—Cr1—Al13^vii	67.43 (3)	Cr3^x—Al8—Al15^vii	115.62 (2)
Al2—Cr1—Al13ⁱⁱ	113.76 (2)	Al6—Al8—Al15^vi	99.26 (4)
Al2^v—Cr1—Al13ⁱⁱ	66.24 (2)	Al15^ix—Al8—Al15^vi	83.48 (2)
Al13ⁱ—Cr1—Al13ⁱⁱ	67.43 (3)	Al15^x—Al8—Al15^vi	139.03 (4)
Al13^vi—Cr1—Al13ⁱⁱ	112.57 (3)	Cr3^ix—Al8—Al15^vi	115.62 (2)
Al13^vii—Cr1—Al13ⁱⁱ	180.0	Cr3^x—Al8—Al15^vi	156.98 (4)
Al2—Cr1—Al12^vii	116.291 (16)	Al15^vii—Al8—Al15^vi	60.19 (4)
Al2^v—Cr1—Al12^vii	63.709 (16)	Al6—Al8—Al7^viii	59.39 (2)
Al13ⁱ—Cr1—Al12^vii	62.79 (2)	Al15^ix—Al8—Al7^viii	60.91 (2)
Al13^vi—Cr1—Al12^vii	117.21 (2)	Al15^x—Al8—Al7^viii	161.70 (4)
Al13^vii—Cr1—Al12^vii	60.52 (2)	Cr3^ix—Al8—Al7^viii	59.28 (2)
Al13ⁱⁱ—Cr1—Al12^vii	119.48 (2)	Cr3^x—Al8—Al7^viii	107.20 (3)
Al2—Cr1—Al12ⁱⁱ	63.709 (16)	Al15^vii—Al8—Al7^viii	107.45 (4)
Al2^v—Cr1—Al12ⁱⁱ	116.292 (16)	Al15^vi—Al8—Al7^viii	57.92 (2)
Al13ⁱ—Cr1—Al12ⁱⁱ	117.21 (2)	Al6—Al8—Al7	59.39 (2)
Al13^vi—Cr1—Al12ⁱⁱ	62.79 (2)	Al15^ix—Al8—Al7	161.70 (4)
Al13^vii—Cr1—Al12ⁱⁱ	119.48 (2)	Al15^x—Al8—Al7	60.91 (2)
Al13ⁱⁱ—Cr1—Al12ⁱⁱ	60.52 (2)	Cr3^ix—Al8—Al7	107.20 (3)
Al12^vii—Cr1—Al12ⁱⁱ	180.0	Cr3^x—Al8—Al7	59.28 (2)
Al2—Cr1—Al12^vi	116.291 (16)	Al15^vii—Al8—Al7	57.92 (2)
Al2^v—Cr1—Al12^vi	63.709 (16)	Al15^vi—Al8—Al7	107.45 (4)
Al13ⁱ—Cr1—Al12^vi	119.48 (2)	Al7^viii—Al8—Al7	111.93 (4)
Al13^vi—Cr1—Al12^vi	60.52 (2)	Al6—Al8—Al14^ix	104.00 (4)
Al13^vii—Cr1—Al12^vi	117.21 (2)	Al15^ix—Al8—Al14^ix	61.52 (2)
Al13ⁱⁱ—Cr1—Al12^vi	62.79 (2)	Al15^x—Al8—Al14^ix	61.52 (2)
Al12^vii—Cr1—Al12^vi	117.56 (3)	Cr3^ix—Al8—Al14^ix	56.83 (2)
Al12ⁱⁱ—Cr1—Al12^vi	62.44 (3)	Cr3^x—Al8—Al14^ix	56.83 (2)
Al2—Cr1—Al12ⁱ	63.709 (16)	Al15^vii—Al8—Al14^ix	141.81 (3)
Al2^v—Cr1—Al12ⁱ	116.291 (16)	Al15^vi—Al8—Al14^ix	141.81 (3)
Al13ⁱ—Cr1—Al12ⁱ	60.52 (2)	Al7^viii—Al8—Al14^ix	110.40 (3)
Al13^vi—Cr1—Al12ⁱ	119.48 (2)	Al7—Al8—Al14^ix	110.40 (3)
Al13^vii—Cr1—Al12ⁱ	62.79 (2)	Al6—Al8—Cr2	53.73 (3)
Al13ⁱⁱ—Cr1—Al12ⁱ	117.21 (2)	Al15^ix—Al8—Cr2	119.86 (2)
Al12^vii—Cr1—Al12ⁱ	62.44 (3)	Al15^x—Al8—Cr2	119.86 (2)
Al12ⁱⁱ—Cr1—Al12ⁱ	117.56 (3)	Cr3^ix—Al8—Cr2	104.37 (3)
Al12^vi—Cr1—Al12ⁱ	180.0	Cr3^x—Al8—Cr2	104.37 (3)
Al2—Cr1—Al1^v	118.14 (3)	Al15^vii—Al8—Cr2	53.82 (2)
Al2^v—Cr1—Al1^v	61.86 (3)	Al15^vi—Al8—Cr2	53.82 (2)
Al13ⁱ—Cr1—Al1^v	116.85 (2)	Al7^viii—Al8—Cr2	60.75 (2)
Al13^vi—Cr1—Al1^v	63.15 (2)	Al7—Al8—Cr2	60.75 (2)
Al13^vii—Cr1—Al1^v	63.15 (2)	Al14^ix—Al8—Cr2	157.73 (4)
Al13ⁱⁱ—Cr1—Al1^v	116.85 (2)	Al6—Al9—Al6^ix	180.00 (4)
Al12^vii—Cr1—Al1^v	63.491 (16)	Al6—Al9—Cr3	118.398 (19)
Al12ⁱⁱ—Cr1—Al1^v	116.509 (16)	Al6^ix—Al9—Cr3	61.602 (19)
Al12^vi—Cr1—Al1^v	63.491 (16)	Al6—Al9—Cr3^viii	118.399 (19)
Al12ⁱ—Cr1—Al1^v	116.509 (16)	Al6^ix—Al9—Cr3^viii	61.601 (19)
Al2—Cr1—Al1	61.86 (3)	Cr3—Al9—Cr3^viii	62.622 (17)
Al2^v—Cr1—Al1	118.14 (3)	Al6—Al9—Cr3^x	61.601 (19)
Al13ⁱ—Cr1—Al1	63.15 (2)	Al6^ix—Al9—Cr3^x	118.399 (19)
Al13^vi—Cr1—Al1	116.85 (2)	Cr3—Al9—Cr3^x	117.378 (17)
Al13^vii—Cr1—Al1	116.85 (2)	Cr3^viii—Al9—Cr3^x	180.0
Al13ⁱⁱ—Cr1—Al1	63.15 (2)	Al6—Al9—Cr3^ix	61.601 (19)
Al12^vii—Cr1—Al1	116.509 (16)	Al6^ix—Al9—Cr3^ix	118.399 (19)
Al12ⁱⁱ—Cr1—Al1	63.491 (16)	Cr3—Al9—Cr3^ix	180.0
Al12^vi—Cr1—Al1	116.509 (16)	Cr3^viii—Al9—Cr3^ix	117.378 (17)
Al12ⁱ—Cr1—Al1	63.491 (16)	Cr3^x—Al9—Cr3^ix	62.622 (17)
Al1^v—Cr1—Al1	180.0	Al6—Al9—Al10	64.439 (17)
Al1—C1—Al3	80.1 (6)	Al6^ix—Al9—Al10	115.561 (16)
Al1—C1—Al7ⁱ	132.0 (6)	Cr3—Al9—Al10	63.724 (17)
Al3—C1—Al7ⁱ	123.7 (6)	Cr3^viii—Al9—Al10	116.514 (17)
Al1—C1—Al7ⁱⁱ	132.0 (6)	Cr3^x—Al9—Al10	63.486 (17)
Al3—C1—Al7ⁱⁱ	123.7 (6)	Cr3^ix—Al9—Al10	116.276 (18)
Al7ⁱ—C1—Al7ⁱⁱ	72.8 (5)	Al6—Al9—Al10^ix	115.562 (16)
Al1—C1—Al5ⁱⁱⁱ	77.1 (4)	Al6^ix—Al9—Al10^ix	64.438 (17)
Al3—C1—Al5ⁱⁱⁱ	71.6 (4)	Cr3—Al9—Al10^ix	116.274 (18)
Al7ⁱ—C1—Al5ⁱⁱⁱ	146.0 (6)	Cr3^viii—Al9—Al10^ix	63.485 (17)
Al7ⁱⁱ—C1—Al5ⁱⁱⁱ	73.79 (13)	Cr3^x—Al9—Al10^ix	116.515 (17)
Al1—C1—Al5^iv	77.1 (4)	Cr3^ix—Al9—Al10^ix	63.726 (17)
Al3—C1—Al5^iv	71.6 (4)	Al10—Al9—Al10^ix	180.0
Al7ⁱ—C1—Al5^iv	73.79 (13)	Al6—Al9—Al10^viii	64.438 (16)
Al7ⁱⁱ—C1—Al5^iv	146.0 (6)	Al6^ix—Al9—Al10^viii	115.562 (17)
Al5ⁱⁱⁱ—C1—Al5^iv	137.9 (7)	Cr3—Al9—Al10^viii	116.515 (17)
Cr2—Al2—Cr1	174.84 (4)	Cr3^viii—Al9—Al10^viii	63.726 (17)
Cr2—Al2—Al3	60.58 (3)	Cr3^x—Al9—Al10^viii	116.274 (17)
Cr1—Al2—Al3	124.58 (4)	Cr3^ix—Al9—Al10^viii	63.485 (17)
Cr2—Al2—Al13^vii	118.78 (4)	Al10—Al9—Al10^viii	117.61 (3)
Cr1—Al2—Al13^vii	57.07 (2)	Al10^ix—Al9—Al10^viii	62.39 (3)
Al3—Al2—Al13^vii	149.091 (19)	Al6—Al9—Al10^x	115.562 (17)
Cr2—Al2—Al13^vi	118.78 (4)	Al6^ix—Al9—Al10^x	64.438 (16)
Cr1—Al2—Al13^vi	57.07 (2)	Cr3—Al9—Al10^x	63.485 (17)
Al3—Al2—Al13^vi	149.091 (19)	Cr3^viii—Al9—Al10^x	116.274 (17)
Al13^vii—Al2—Al13^vi	61.20 (3)	Cr3^x—Al9—Al10^x	63.726 (17)
Cr2—Al2—Al1	120.32 (4)	Cr3^ix—Al9—Al10^x	116.515 (17)
Cr1—Al2—Al1	64.84 (3)	Al10—Al9—Al10^x	62.39 (3)
Al3—Al2—Al1	59.74 (4)	Al10^ix—Al9—Al10^x	117.61 (3)
Al13^vii—Al2—Al1	111.89 (4)	Al10^viii—Al9—Al10^x	180.0
Al13^vi—Al2—Al1	111.89 (4)	Al6—Al9—Al11^ix	115.09 (3)
Cr2—Al2—Al4ⁱⁱⁱ	59.96 (2)	Al6^ix—Al9—Al11^ix	64.91 (3)
Cr1—Al2—Al4ⁱⁱⁱ	121.22 (2)	Cr3—Al9—Al11^ix	116.175 (18)
Al3—Al2—Al4ⁱⁱⁱ	64.10 (2)	Cr3^viii—Al9—Al11^ix	116.174 (18)
Al13^vii—Al2—Al4ⁱⁱⁱ	145.46 (4)	Cr3^x—Al9—Al11^ix	63.825 (18)
Al13^vi—Al2—Al4ⁱⁱⁱ	88.34 (2)	Cr3^ix—Al9—Al11^ix	63.825 (18)
Al1—Al2—Al4ⁱⁱⁱ	93.64 (3)	Al10—Al9—Al11^ix	116.259 (16)
Cr2—Al2—Al4^iv	59.96 (2)	Al10^ix—Al9—Al11^ix	63.742 (16)
Cr1—Al2—Al4^iv	121.22 (2)	Al10^viii—Al9—Al11^ix	116.258 (16)
Al3—Al2—Al4^iv	64.10 (2)	Al10^x—Al9—Al11^ix	63.742 (16)
Al13^vii—Al2—Al4^iv	88.34 (2)	Al6—Al9—Al11	64.91 (3)
Al13^vi—Al2—Al4^iv	145.46 (4)	Al6^ix—Al9—Al11	115.09 (3)
Al1—Al2—Al4^iv	93.64 (3)	Cr3—Al9—Al11	63.824 (18)
Al4ⁱⁱⁱ—Al2—Al4^iv	113.74 (4)	Cr3^viii—Al9—Al11	63.824 (18)
Cr2—Al2—Al12ⁱ	118.85 (2)	Cr3^x—Al9—Al11	116.176 (19)
Cr1—Al2—Al12ⁱ	62.58 (2)	Cr3^ix—Al9—Al11	116.176 (18)
Al3—Al2—Al12ⁱ	92.40 (3)	Al10—Al9—Al11	63.742 (16)
Al13^vii—Al2—Al12ⁱ	59.77 (2)	Al10^ix—Al9—Al11	116.258 (16)
Al13^vi—Al2—Al12ⁱ	111.01 (4)	Al10^viii—Al9—Al11	63.742 (16)
Al1—Al2—Al12ⁱ	64.08 (2)	Al10^x—Al9—Al11	116.258 (16)
Al4ⁱⁱⁱ—Al2—Al12ⁱ	154.36 (4)	Al11^ix—Al9—Al11	180.0
Al4^iv—Al2—Al12ⁱ	58.90 (2)	Al9—Al10—Al1ⁱ	151.34 (3)
Cr2—Al2—Al12ⁱⁱ	118.85 (2)	Al9—Al10—Al16^xiii	103.24 (3)
Cr1—Al2—Al12ⁱⁱ	62.58 (2)	Al1ⁱ—Al10—Al16^xiii	104.64 (3)
Al3—Al2—Al12ⁱⁱ	92.40 (3)	Al9—Al10—Cr3^x	56.225 (16)
Al13^vii—Al2—Al12ⁱⁱ	111.01 (4)	Al1ⁱ—Al10—Cr3^x	142.69 (3)
Al13^vi—Al2—Al12ⁱⁱ	59.77 (2)	Al16^xiii—Al10—Cr3^x	53.119 (19)
Al1—Al2—Al12ⁱⁱ	64.08 (2)	Al9—Al10—Cr3	56.114 (16)
Al4ⁱⁱⁱ—Al2—Al12ⁱⁱ	58.90 (2)	Al1ⁱ—Al10—Cr3	112.51 (3)
Al4^iv—Al2—Al12ⁱⁱ	154.36 (4)	Al16^xiii—Al10—Cr3	121.35 (3)
Al12ⁱ—Al2—Al12ⁱⁱ	115.71 (4)	Cr3^x—Al10—Cr3	104.80 (3)
Cr2—Al2—Al15^vi	56.50 (2)	Al9—Al10—Al10^x	58.807 (15)
Cr1—Al2—Al15^vi	119.25 (3)	Al1ⁱ—Al10—Al10^x	142.92 (3)
Al3—Al2—Al15^vi	108.67 (4)	Al16^xiii—Al10—Al10^x	63.13 (3)
Al13^vii—Al2—Al15^vi	91.60 (3)	Cr3^x—Al10—Al10^x	60.04 (2)
Al13^vi—Al2—Al15^vi	62.28 (3)	Cr3—Al10—Al10^x	59.71 (2)
Al1—Al2—Al15^vi	149.83 (2)	Al9—Al10—Al6	55.71 (2)
Al4ⁱⁱⁱ—Al2—Al15^vi	57.78 (2)	Al1ⁱ—Al10—Al6	111.43 (3)
Al4^iv—Al2—Al15^vi	106.15 (4)	Al16^xiii—Al10—Al6	101.84 (3)
Al12ⁱ—Al2—Al15^vi	145.96 (3)	Cr3^x—Al10—Al6	56.36 (2)
Al12ⁱⁱ—Al2—Al15^vi	90.47 (2)	Cr3—Al10—Al6	104.55 (3)
Cr2—Al2—Al15^vii	56.50 (2)	Al10^x—Al10—Al6	105.46 (3)
Cr1—Al2—Al15^vii	119.25 (3)	Al9—Al10—Al11	58.45 (2)
Al3—Al2—Al15^vii	108.67 (4)	Al1ⁱ—Al10—Al11	92.92 (3)
Al13^vii—Al2—Al15^vii	62.28 (3)	Al16^xiii—Al10—Al11	158.95 (3)
Al13^vi—Al2—Al15^vii	91.60 (3)	Cr3^x—Al10—Al11	105.83 (3)
Al1—Al2—Al15^vii	149.83 (2)	Cr3—Al10—Al11	59.50 (2)
Al4ⁱⁱⁱ—Al2—Al15^vii	106.15 (4)	Al10^x—Al10—Al11	108.84 (3)
Al4^iv—Al2—Al15^vii	57.78 (2)	Al6—Al10—Al11	60.15 (3)
Al12ⁱ—Al2—Al15^vii	90.47 (2)	Al9—Al10—Al13	99.06 (3)
Al12ⁱⁱ—Al2—Al15^vii	145.96 (3)	Al1ⁱ—Al10—Al13	61.40 (3)
Al15^vi—Al2—Al15^vii	57.95 (3)	Al16^xiii—Al10—Al13	142.42 (3)
Al2—Cr2—Al6	179.44 (4)	Cr3^x—Al10—Al13	154.94 (3)
Al2—Cr2—Al15^vii	70.31 (3)	Cr3—Al10—Al13	51.77 (2)
Al6—Cr2—Al15^vii	110.14 (3)	Al10^x—Al10—Al13	105.58 (4)
Al2—Cr2—Al15^vi	70.31 (3)	Al6—Al10—Al13	115.72 (3)
Al6—Cr2—Al15^vi	110.14 (3)	Al11—Al10—Al13	56.97 (2)
Al15^vii—Cr2—Al15^vi	66.32 (3)	Al9—Al10—Al16	99.50 (3)
Al2—Cr2—Al3	63.54 (3)	Al1ⁱ—Al10—Al16	88.14 (3)
Al6—Cr2—Al3	115.90 (3)	Al16^xiii—Al10—Al16	87.65 (3)
Al15^vii—Cr2—Al3	122.41 (3)	Cr3^x—Al10—Al16	116.63 (3)
Al15^vi—Cr2—Al3	122.41 (3)	Cr3—Al10—Al16	51.518 (19)
Al2—Cr2—Al4^iv	66.693 (19)	Al10^x—Al10—Al16	57.94 (3)
Al6—Cr2—Al4^iv	113.164 (19)	Al6—Al10—Al16	154.76 (3)
Al15^vii—Cr2—Al4^iv	63.83 (2)	Al11—Al10—Al16	104.71 (3)
Al15^vi—Cr2—Al4^iv	122.06 (3)	Al13—Al10—Al16	58.86 (3)
Al3—Cr2—Al4^iv	67.392 (19)	Al9—Al10—Al7	102.79 (3)
Al2—Cr2—Al4ⁱⁱⁱ	66.693 (19)	Al1ⁱ—Al10—Al7	85.56 (3)
Al6—Cr2—Al4ⁱⁱⁱ	113.164 (19)	Al16^xiii—Al10—Al7	60.20 (3)
Al15^vii—Cr2—Al4ⁱⁱⁱ	122.06 (3)	Cr3^x—Al10—Al7	57.82 (2)
Al15^vi—Cr2—Al4ⁱⁱⁱ	63.83 (2)	Cr3—Al10—Al7	158.89 (3)
Al3—Cr2—Al4ⁱⁱⁱ	67.392 (19)	Al10^x—Al10—Al7	112.47 (4)
Al4^iv—Cr2—Al4ⁱⁱⁱ	125.37 (4)	Al6—Al10—Al7	56.81 (2)
Al2—Cr2—Al5	116.68 (3)	Al11—Al10—Al7	110.80 (3)
Al6—Cr2—Al5	62.87 (3)	Al13—Al10—Al7	141.83 (3)
Al15^vii—Cr2—Al5	172.81 (3)	Al16—Al10—Al7	144.18 (3)
Al15^vi—Cr2—Al5	113.55 (2)	Al9—Al10—Al10^xii	148.807 (15)
Al3—Cr2—Al5	64.15 (2)	Al1ⁱ—Al10—Al10^xii	57.129 (19)
Al4^iv—Cr2—Al5	119.58 (3)	Al16^xiii—Al10—Al10^xii	57.218 (19)
Al4ⁱⁱⁱ—Cr2—Al5	62.05 (2)	Cr3^x—Al10—Al10^xii	110.336 (17)
Al2—Cr2—Al5^viii	116.68 (3)	Cr3—Al10—Al10^xii	110.268 (17)
Al6—Cr2—Al5^viii	62.87 (2)	Al10^x—Al10—Al10^xii	90.0
Al15^vii—Cr2—Al5^viii	113.55 (2)	Al6—Al10—Al10^xii	145.07 (2)
Al15^vi—Cr2—Al5^viii	172.81 (3)	Al11—Al10—Al10^xii	143.83 (2)
Al3—Cr2—Al5^viii	64.15 (2)	Al13—Al10—Al10^xii	88.77 (2)
Al4^iv—Cr2—Al5^viii	62.05 (2)	Al16—Al10—Al10^xii	59.044 (17)
Al4ⁱⁱⁱ—Cr2—Al5^viii	119.58 (3)	Al7—Al10—Al10^xii	88.427 (19)
Al5—Cr2—Al5^viii	65.59 (3)	Al9—Al11—Al13	102.43 (3)
Al2—Cr2—Al8	121.79 (3)	Al9—Al11—Al13^viii	102.43 (3)
Al6—Cr2—Al8	58.77 (3)	Al13—Al11—Al13^viii	119.49 (4)
Al15^vii—Cr2—Al8	61.71 (2)	Al9—Al11—Cr3	55.75 (2)
Al15^vi—Cr2—Al8	61.71 (2)	Al13—Al11—Cr3	53.17 (2)
Al3—Cr2—Al8	174.67 (3)	Al13^viii—Al11—Cr3	103.15 (3)
Al4^iv—Cr2—Al8	113.958 (19)	Al9—Al11—Cr3^viii	55.75 (2)
Al4ⁱⁱⁱ—Cr2—Al8	113.958 (19)	Al13—Al11—Cr3^viii	103.15 (3)
Al5—Cr2—Al8	111.55 (3)	Al13^viii—Al11—Cr3^viii	53.17 (2)
Al5^viii—Cr2—Al8	111.55 (3)	Cr3—Al11—Cr3^viii	57.20 (2)
Al2—Cr2—Al7^viii	119.827 (19)	Al9—Al11—Al12	148.15 (2)
Al6—Cr2—Al7^viii	60.363 (18)	Al13—Al11—Al12	58.97 (2)
Al15^vii—Cr2—Al7^viii	113.04 (3)	Al13^viii—Al11—Al12	109.26 (4)
Al15^vi—Cr2—Al7^viii	59.83 (2)	Cr3—Al11—Al12	112.14 (2)
Al3—Cr2—Al7^viii	118.832 (19)	Cr3^viii—Al11—Al12	147.70 (4)
Al4^iv—Cr2—Al7^viii	172.12 (3)	Al9—Al11—Al12^viii	148.15 (2)
Al4ⁱⁱⁱ—Cr2—Al7^viii	62.51 (2)	Al13—Al11—Al12^viii	109.26 (4)
Al5—Cr2—Al7^viii	62.67 (2)	Al13^viii—Al11—Al12^viii	58.97 (2)
Al5^viii—Cr2—Al7^viii	115.22 (3)	Cr3—Al11—Al12^viii	147.70 (4)
Al8—Cr2—Al7^viii	59.370 (18)	Cr3^viii—Al11—Al12^viii	112.14 (2)
Al2—Cr2—Al7	119.827 (19)	Al12—Al11—Al12^viii	58.60 (4)
Al6—Cr2—Al7	60.363 (18)	Al9—Al11—Al6	55.19 (3)
Al15^vii—Cr2—Al7	59.83 (2)	Al13—Al11—Al6	119.79 (2)
Al15^vi—Cr2—Al7	113.04 (3)	Al13^viii—Al11—Al6	119.80 (2)
Al3—Cr2—Al7	118.831 (19)	Cr3—Al11—Al6	103.42 (3)
Al4^iv—Cr2—Al7	62.51 (2)	Cr3^viii—Al11—Al6	103.42 (3)
Al4ⁱⁱⁱ—Cr2—Al7	172.13 (3)	Al12—Al11—Al6	108.84 (4)
Al5—Cr2—Al7	115.22 (3)	Al12^viii—Al11—Al6	108.84 (4)
Al5^viii—Cr2—Al7	62.67 (2)	Al9—Al11—Al10	57.81 (2)
Al8—Cr2—Al7	59.371 (18)	Al13—Al11—Al10	62.17 (2)
Al7^viii—Cr2—Al7	109.62 (3)	Al13^viii—Al11—Al10	158.08 (4)
C1—Al3—Cr2	160.9 (4)	Cr3—Al11—Al10	59.01 (2)
C1—Al3—Al4	71.5 (3)	Cr3^viii—Al11—Al10	104.95 (3)
Cr2—Al3—Al4	123.89 (4)	Al12—Al11—Al10	90.42 (2)
C1—Al3—Al4^viii	71.5 (3)	Al12^viii—Al11—Al10	142.88 (4)
Cr2—Al3—Al4^viii	123.89 (4)	Al6—Al11—Al10	59.15 (2)
Al4—Al3—Al4^viii	64.16 (4)	Al9—Al11—Al10^viii	57.81 (2)
C1—Al3—Al2	105.0 (4)	Al13—Al11—Al10^viii	158.08 (4)
Cr2—Al3—Al2	55.88 (3)	Al13^viii—Al11—Al10^viii	62.17 (2)
Al4—Al3—Al2	147.24 (2)	Cr3—Al11—Al10^viii	104.95 (3)
Al4^viii—Al3—Al2	147.24 (2)	Cr3^viii—Al11—Al10^viii	59.01 (2)
C1—Al3—Al1	42.4 (4)	Al12—Al11—Al10^viii	142.88 (4)
Cr2—Al3—Al1	118.52 (4)	Al12^viii—Al11—Al10^viii	90.42 (2)
Al4—Al3—Al1	107.12 (4)	Al6—Al11—Al10^viii	59.15 (2)
Al4^viii—Al3—Al1	107.12 (4)	Al10—Al11—Al10^viii	107.66 (4)
Al2—Al3—Al1	62.64 (4)	Al9—Al11—Al14	101.16 (4)
C1—Al3—Al5	134.8 (3)	Al13—Al11—Al14	60.75 (2)
Cr2—Al3—Al5	59.50 (3)	Al13^viii—Al11—Al14	60.75 (2)
Al4—Al3—Al5	64.44 (3)	Cr3—Al11—Al14	56.48 (3)
Al4^viii—Al3—Al5	96.86 (4)	Cr3^viii—Al11—Al14	56.48 (3)
Al2—Al3—Al5	106.56 (4)	Al12—Al11—Al14	91.67 (3)
Al1—Al3—Al5	147.88 (2)	Al12^viii—Al11—Al14	91.67 (3)
C1—Al3—Al5^viii	134.8 (3)	Al6—Al11—Al14	156.35 (5)
Cr2—Al3—Al5^viii	59.50 (3)	Al10—Al11—Al14	110.64 (3)
Al4—Al3—Al5^viii	96.86 (4)	Al10^viii—Al11—Al14	110.64 (3)
Al4^viii—Al3—Al5^viii	64.44 (3)	Al13—Al12—Al12^viii	111.17 (2)
Al2—Al3—Al5^viii	106.56 (4)	Al13—Al12—Al5^viii	95.39 (3)
Al1—Al3—Al5^viii	147.88 (2)	Al12^viii—Al12—Al5^viii	91.79 (2)
Al5—Al3—Al5^viii	62.48 (4)	Al13—Al12—Al4^viii	150.32 (4)
C1—Al3—Al5^iv	56.60 (8)	Al12^viii—Al12—Al4^viii	90.78 (2)
Cr2—Al3—Al5^iv	118.09 (2)	Al5^viii—Al12—Al4^viii	63.06 (3)
Al4—Al3—Al5^iv	112.29 (4)	Al13—Al12—Al11	59.11 (2)
Al4^viii—Al3—Al5^iv	60.46 (2)	Al12^viii—Al12—Al11	60.703 (18)
Al2—Al3—Al5^iv	89.84 (3)	Al5^viii—Al12—Al11	68.95 (3)
Al1—Al3—Al5^iv	59.46 (2)	Al4^viii—Al12—Al11	122.62 (3)
Al5—Al3—Al5^iv	152.46 (3)	Al13—Al12—Al13^xiv	101.04 (3)
Al5^viii—Al3—Al5^iv	92.00 (2)	Al12^viii—Al12—Al13^xiv	110.45 (2)
C1—Al3—Al5ⁱⁱⁱ	56.60 (8)	Al5^viii—Al12—Al13^xiv	144.83 (3)
Cr2—Al3—Al5ⁱⁱⁱ	118.09 (2)	Al4^viii—Al12—Al13^xiv	88.90 (3)
Al4—Al3—Al5ⁱⁱⁱ	60.46 (2)	Al11—Al12—Al13^xiv	145.66 (4)
Al4^viii—Al3—Al5ⁱⁱⁱ	112.29 (4)	Al13—Al12—Cr1^xv	55.22 (2)
Al2—Al3—Al5ⁱⁱⁱ	89.84 (3)	Al12^viii—Al12—Cr1^xv	148.779 (15)
Al1—Al3—Al5ⁱⁱⁱ	59.46 (2)	Al5^viii—Al12—Cr1^xv	115.97 (3)
Al5—Al3—Al5ⁱⁱⁱ	92.00 (2)	Al4^viii—Al12—Cr1^xv	113.79 (3)
Al5^viii—Al3—Al5ⁱⁱⁱ	152.46 (3)	Al11—Al12—Cr1^xv	114.33 (3)
Al5^iv—Al3—Al5ⁱⁱⁱ	110.41 (4)	Al13^xiv—Al12—Cr1^xv	54.284 (19)
C1—Al3—Al4ⁱⁱⁱ	115.75 (18)	Al13—Al12—Al2ⁱ	100.90 (3)
Cr2—Al3—Al4ⁱⁱⁱ	57.38 (2)	Al12^viii—Al12—Al2ⁱ	147.85 (2)
Al4—Al3—Al4ⁱⁱⁱ	90.91 (2)	Al5^viii—Al12—Al2ⁱ	87.22 (3)
Al4^viii—Al3—Al4ⁱⁱⁱ	151.28 (3)	Al4^viii—Al12—Al2ⁱ	60.30 (3)
Al2—Al3—Al4ⁱⁱⁱ	60.55 (2)	Al11—Al12—Al2ⁱ	145.56 (3)
Al1—Al3—Al4ⁱⁱⁱ	93.23 (3)	Al13^xiv—Al12—Al2ⁱ	59.34 (3)
Al5—Al3—Al4ⁱⁱⁱ	57.55 (2)	Cr1^xv—Al12—Al2ⁱ	53.71 (2)
Al5^viii—Al3—Al4ⁱⁱⁱ	107.71 (4)	Al13—Al12—Al14^xi	149.04 (4)
Al5^iv—Al3—Al4ⁱⁱⁱ	147.76 (4)	Al12^viii—Al12—Al14^xi	61.237 (17)
Al5ⁱⁱⁱ—Al3—Al4ⁱⁱⁱ	60.95 (2)	Al5^viii—Al12—Al14^xi	114.16 (3)
C1—Al3—Al4^iv	115.75 (18)	Al4^viii—Al12—Al14^xi	59.15 (3)
Cr2—Al3—Al4^iv	57.38 (2)	Al11—Al12—Al14^xi	121.93 (3)
Al4—Al3—Al4^iv	151.28 (3)	Al13^xiv—Al12—Al14^xi	59.94 (2)
Al4^viii—Al3—Al4^iv	90.91 (2)	Cr1^xv—Al12—Al14^xi	114.06 (3)
Al2—Al3—Al4^iv	60.55 (2)	Al2ⁱ—Al12—Al14^xi	89.99 (3)
Al1—Al3—Al4^iv	93.23 (3)	Al13—Al12—Al12^xiv	59.70 (3)
Al5—Al3—Al4^iv	107.71 (4)	Al12^viii—Al12—Al12^xiv	90.0
Al5^viii—Al3—Al4^iv	57.55 (2)	Al5^viii—Al12—Al12^xiv	153.67 (4)
Al5^iv—Al3—Al4^iv	60.95 (2)	Al4^viii—Al12—Al12^xiv	143.19 (4)
Al5ⁱⁱⁱ—Al3—Al4^iv	147.76 (4)	Al11—Al12—Al12^xiv	89.28 (3)
Al4ⁱⁱⁱ—Al3—Al4^iv	108.32 (4)	Al13^xiv—Al12—Al12^xiv	56.65 (3)
Al16—Cr3—Al13	70.17 (3)	Cr1^xv—Al12—Al12^xiv	58.779 (15)
Al16—Cr3—Al15	70.90 (3)	Al2ⁱ—Al12—Al12^xiv	104.77 (3)
Al13—Cr3—Al15	72.84 (2)	Al14^xi—Al12—Al12^xiv	89.59 (3)
Al16—Cr3—Al9	115.59 (3)	Cr3—Al13—Cr1^xv	169.15 (3)
Al13—Cr3—Al9	114.33 (2)	Cr3—Al13—Al12	126.57 (3)
Al15—Cr3—Al9	171.29 (2)	Cr1^xv—Al13—Al12	64.26 (2)
Al16—Cr3—Al6^ix	115.48 (3)	Cr3—Al13—Al11	64.64 (3)
Al13—Cr3—Al6^ix	172.43 (3)	Cr1^xv—Al13—Al11	126.19 (3)
Al15—Cr3—Al6^ix	113.33 (3)	Al12—Al13—Al11	61.93 (3)
Al9—Cr3—Al6^ix	59.13 (2)	Cr3—Al13—Al2^xv	114.73 (3)
Al16—Cr3—Cr3^viii	173.47 (2)	Cr1^xv—Al13—Al2^xv	56.69 (2)
Al13—Cr3—Cr3^viii	114.464 (19)	Al12—Al13—Al2^xv	111.56 (3)
Al15—Cr3—Cr3^viii	114.450 (18)	Al11—Al13—Al2^xv	150.53 (3)
Al9—Cr3—Cr3^viii	58.689 (9)	Cr3—Al13—Al12^xiv	120.51 (3)
Al6^ix—Cr3—Cr3^viii	59.480 (13)	Cr1^xv—Al13—Al12^xiv	62.92 (2)
Al16—Cr3—Al14	126.40 (3)	Al12—Al13—Al12^xiv	63.65 (3)
Al13—Cr3—Al14	66.64 (3)	Al11—Al13—Al12^xiv	93.11 (3)
Al15—Cr3—Al14	67.23 (2)	Al2^xv—Al13—Al12^xiv	60.89 (2)
Al9—Cr3—Al14	110.27 (2)	Cr3—Al13—Al14	60.19 (3)
Al6^ix—Cr3—Al14	110.99 (2)	Cr1^xv—Al13—Al14	123.42 (3)
Cr3^viii—Cr3—Al14	60.097 (13)	Al12—Al13—Al14	94.16 (3)
Al16—Cr3—Al8^ix	121.20 (3)	Al11—Al13—Al14	62.05 (3)
Al13—Cr3—Al8^ix	122.80 (3)	Al2^xv—Al13—Al14	91.33 (3)
Al15—Cr3—Al8^ix	62.70 (2)	Al12^xiv—Al13—Al14	60.69 (3)
Al9—Cr3—Al8^ix	108.60 (2)	Cr3—Al13—Al16	54.85 (2)
Al6^ix—Cr3—Al8^ix	59.54 (3)	Cr1^xv—Al13—Al16	116.06 (3)
Cr3^viii—Cr3—Al8^ix	60.882 (13)	Al12—Al13—Al16	148.81 (4)
Al14—Cr3—Al8^ix	64.12 (3)	Al11—Al13—Al16	109.42 (3)
Al16—Cr3—Al10^x	63.14 (3)	Al2^xv—Al13—Al16	89.95 (3)
Al13—Cr3—Al10^x	118.76 (3)	Al12^xiv—Al13—Al16	146.70 (3)
Al15—Cr3—Al10^x	121.61 (3)	Al14—Al13—Al16	108.16 (3)
Al9—Cr3—Al10^x	60.291 (17)	Cr3—Al13—Al13^xii	114.465 (19)
Al6^ix—Cr3—Al10^x	62.49 (2)	Cr1^xv—Al13—Al13^xii	56.284 (16)
Cr3^viii—Cr3—Al10^x	110.339 (17)	Al12—Al13—Al13^xii	111.17 (2)
Al14—Cr3—Al10^x	170.12 (2)	Al11—Al13—Al13^xii	149.75 (2)
Al8^ix—Cr3—Al10^x	114.62 (3)	Al2^xv—Al13—Al13^xii	59.401 (17)
Al16—Cr3—Al10	66.77 (3)	Al12^xiv—Al13—Al13^xii	110.45 (2)
Al13—Cr3—Al10	66.30 (2)	Al14—Al13—Al13^xii	146.32 (2)
Al15—Cr3—Al10	128.53 (3)	Al16—Al13—Al13^xii	59.797 (17)
Al9—Cr3—Al10	60.162 (18)	Cr3—Al13—Al1ⁱ	118.16 (3)
Al6^ix—Cr3—Al10	110.53 (3)	Cr1^xv—Al13—Al1ⁱ	63.85 (2)
Cr3^viii—Cr3—Al10	110.268 (17)	Al12—Al13—Al1ⁱ	64.87 (3)
Al14—Cr3—Al10	118.99 (3)	Al11—Al13—Al1ⁱ	92.58 (3)
Al8^ix—Cr3—Al10	168.72 (3)	Al2^xv—Al13—Al1ⁱ	111.01 (3)
Al10^x—Cr3—Al10	60.25 (3)	Al12^xiv—Al13—Al1ⁱ	117.19 (3)
Al16—Cr3—Al7^x	66.18 (3)	Al14—Al13—Al1ⁱ	153.42 (3)
Al13—Cr3—Al7^x	126.51 (3)	Al16—Al13—Al1ⁱ	86.80 (3)
Al15—Cr3—Al7^x	64.87 (2)	Al13^xii—Al13—Al1ⁱ	60.211 (18)
Al9—Cr3—Al7^x	111.52 (2)	Cr3—Al13—Al10	61.93 (2)
Al6^ix—Cr3—Al7^x	61.04 (2)	Cr1^xv—Al13—Al10	120.81 (3)
Cr3^viii—Cr3—Al7^x	112.042 (17)	Al12—Al13—Al10	91.33 (3)
Al14—Cr3—Al7^x	119.75 (3)	Al11—Al13—Al10	60.87 (3)
Al8^ix—Cr3—Al7^x	62.61 (2)	Al2^xv—Al13—Al10	147.32 (3)
Al10^x—Cr3—Al7^x	64.78 (2)	Al12^xiv—Al13—Al10	151.16 (3)
Al10—Cr3—Al7^x	118.87 (3)	Al14—Al13—Al10	110.64 (3)
Al16—Cr3—Al11	119.60 (3)	Al16—Al13—Al10	60.85 (3)
Al13—Cr3—Al11	62.19 (2)	Al13^xii—Al13—Al10	91.23 (2)
Al15—Cr3—Al11	122.52 (3)	Al1ⁱ—Al13—Al10	56.99 (3)
Al9—Cr3—Al11	60.42 (2)	Cr3—Al13—Al15	54.22 (2)
Al6^ix—Cr3—Al11	110.24 (2)	Cr1^xv—Al13—Al15	117.26 (3)
Cr3^viii—Cr3—Al11	61.401 (12)	Al12—Al13—Al15	150.58 (3)
Al14—Cr3—Al11	63.26 (3)	Al11—Al13—Al15	109.59 (3)
Al8^ix—Cr3—Al11	115.14 (2)	Al2^xv—Al13—Al15	60.66 (3)
Al10^x—Cr3—Al11	110.90 (3)	Al12^xiv—Al13—Al15	90.17 (3)
Al10—Cr3—Al11	61.49 (2)	Al14—Al13—Al15	59.51 (3)
Al7^x—Cr3—Al11	171.19 (3)	Al16—Al13—Al15	59.72 (3)
Al3—Al4—Cr2ⁱⁱⁱ	121.76 (3)	Al13^xii—Al13—Al15	89.680 (19)
Al3—Al4—Al5ⁱⁱⁱ	62.87 (3)	Al1ⁱ—Al13—Al15	144.13 (3)
Cr2ⁱⁱⁱ—Al4—Al5ⁱⁱⁱ	59.42 (2)	Al10—Al13—Al15	109.35 (3)
Al3—Al4—Al15^xi	153.53 (4)	Cr3^viii—Al14—Cr3	59.81 (3)
Cr2ⁱⁱⁱ—Al4—Al15^xi	56.47 (2)	Cr3^viii—Al14—Al4^xiv	111.63 (2)
Al5ⁱⁱⁱ—Al4—Al15^xi	105.54 (3)	Cr3—Al14—Al4^xiv	150.84 (4)
Al3—Al4—Al14^xi	116.65 (3)	Cr3^viii—Al14—Al4^xi	150.84 (4)
Cr2ⁱⁱⁱ—Al4—Al14^xi	118.04 (3)	Cr3—Al14—Al4^xi	111.63 (2)
Al5ⁱⁱⁱ—Al4—Al14^xi	153.28 (4)	Al4^xiv—Al14—Al4^xi	60.82 (3)
Al15^xi—Al4—Al14^xi	62.23 (3)	Cr3^viii—Al14—Al13^viii	53.171 (19)
Al3—Al4—Al12^viii	108.10 (3)	Cr3—Al14—Al13^viii	103.32 (3)
Cr2ⁱⁱⁱ—Al4—Al12^viii	114.15 (3)	Al4^xiv—Al14—Al13^viii	88.69 (2)
Al5ⁱⁱⁱ—Al4—Al12^viii	145.21 (3)	Al4^xi—Al14—Al13^viii	145.05 (4)
Al15^xi—Al4—Al12^viii	94.49 (3)	Cr3^viii—Al14—Al13	103.32 (3)
Al14^xi—Al4—Al12^viii	61.50 (3)	Cr3—Al14—Al13	53.170 (19)
Al3—Al4—Al4^viii	57.920 (19)	Al4^xiv—Al14—Al13	145.05 (4)
Cr2ⁱⁱⁱ—Al4—Al4^viii	152.682 (18)	Al4^xi—Al14—Al13	88.69 (2)
Al5ⁱⁱⁱ—Al4—Al4^viii	109.27 (2)	Al13^viii—Al14—Al13	112.65 (4)
Al15^xi—Al4—Al4^viii	110.29 (2)	Cr3^viii—Al14—Al12^xiv	149.13 (4)
Al14^xi—Al4—Al4^viii	59.591 (18)	Cr3—Al14—Al12^xiv	112.24 (2)
Al12^viii—Al4—Al4^viii	89.22 (2)	Al4^xiv—Al14—Al12^xiv	88.70 (3)
Al3—Al4—Al2ⁱⁱⁱ	141.08 (4)	Al4^xi—Al14—Al12^xiv	59.35 (3)
Cr2ⁱⁱⁱ—Al4—Al2ⁱⁱⁱ	53.35 (2)	Al13^viii—Al14—Al12^xiv	106.95 (4)
Al5ⁱⁱⁱ—Al4—Al2ⁱⁱⁱ	103.69 (3)	Al13—Al14—Al12^xiv	59.38 (2)
Al15^xi—Al4—Al2ⁱⁱⁱ	62.52 (3)	Cr3^viii—Al14—Al12^xi	112.24 (2)
Al14^xi—Al4—Al2ⁱⁱⁱ	91.63 (3)	Cr3—Al14—Al12^xi	149.13 (4)
Al12^viii—Al4—Al2ⁱⁱⁱ	60.80 (3)	Al4^xiv—Al14—Al12^xi	59.35 (3)
Al4^viii—Al4—Al2ⁱⁱⁱ	146.87 (2)	Al4^xi—Al14—Al12^xi	88.70 (3)
Al3—Al4—Al7ⁱⁱ	96.73 (3)	Al13^viii—Al14—Al12^xi	59.38 (2)
Cr2ⁱⁱⁱ—Al4—Al7ⁱⁱ	62.75 (2)	Al13—Al14—Al12^xi	106.95 (4)
Al5ⁱⁱⁱ—Al4—Al7ⁱⁱ	61.96 (2)	Al12^xiv—Al14—Al12^xi	57.52 (3)
Al15^xi—Al4—Al7ⁱⁱ	57.91 (2)	Cr3^viii—Al14—Al11	60.26 (3)
Al14^xi—Al4—Al7ⁱⁱ	92.57 (3)	Cr3—Al14—Al11	60.26 (3)
Al12^viii—Al4—Al7ⁱⁱ	149.96 (3)	Al4^xiv—Al14—Al11	143.50 (3)
Al4^viii—Al4—Al7ⁱⁱ	89.93 (2)	Al4^xi—Al14—Al11	143.50 (3)
Al2ⁱⁱⁱ—Al4—Al7ⁱⁱ	108.79 (3)	Al13^viii—Al14—Al11	57.20 (2)
Al3—Al4—Al5	60.42 (3)	Al13—Al14—Al11	57.20 (2)
Cr2ⁱⁱⁱ—Al4—Al5	112.88 (3)	Al12^xiv—Al14—Al11	89.46 (3)
Al5ⁱⁱⁱ—Al4—Al5	91.09 (3)	Al12^xi—Al14—Al11	89.46 (3)
Al15^xi—Al4—Al5	146.01 (3)	Cr3^viii—Al14—Al15	103.30 (3)
Al14^xi—Al4—Al5	112.22 (3)	Cr3—Al14—Al15	53.621 (19)
Al12^viii—Al4—Al5	58.44 (2)	Al4^xiv—Al14—Al15	108.43 (4)
Al4^viii—Al4—Al5	90.970 (19)	Al4^xi—Al14—Al15	58.70 (2)
Al2ⁱⁱⁱ—Al4—Al5	85.05 (3)	Al13^viii—Al14—Al15	155.61 (4)
Al7ⁱⁱ—Al4—Al5	151.60 (3)	Al13—Al14—Al15	62.40 (2)
Al3—Al4—Al3ⁱⁱⁱ	89.09 (2)	Al12^xiv—Al14—Al15	91.10 (2)
Cr2ⁱⁱⁱ—Al4—Al3ⁱⁱⁱ	55.23 (2)	Al12^xi—Al14—Al15	144.45 (3)
Al5ⁱⁱⁱ—Al4—Al3ⁱⁱⁱ	59.20 (3)	Al11—Al14—Al15	108.05 (3)
Al15^xi—Al4—Al3ⁱⁱⁱ	105.55 (3)	Cr3^viii—Al14—Al15^viii	53.621 (19)
Al14^xi—Al4—Al3ⁱⁱⁱ	144.52 (3)	Cr3—Al14—Al15^viii	103.30 (3)
Al12^viii—Al4—Al3ⁱⁱⁱ	88.39 (3)	Al4^xiv—Al14—Al15^viii	58.70 (2)
Al4^viii—Al4—Al3ⁱⁱⁱ	144.16 (2)	Al4^xi—Al14—Al15^viii	108.43 (4)
Al2ⁱⁱⁱ—Al4—Al3ⁱⁱⁱ	55.35 (3)	Al13^viii—Al14—Al15^viii	62.40 (2)
Al7ⁱⁱ—Al4—Al3ⁱⁱⁱ	109.09 (3)	Al13—Al14—Al15^viii	155.60 (4)
Al5—Al4—Al3ⁱⁱⁱ	57.87 (3)	Al12^xiv—Al14—Al15^viii	144.45 (3)
C1ⁱⁱⁱ—Al5—Cr2	108.0 (4)	Al12^xi—Al14—Al15^viii	91.10 (2)
C1ⁱⁱⁱ—Al5—Al6	102.2 (4)	Al11—Al14—Al15^viii	108.05 (3)
Cr2—Al5—Al6	55.32 (3)	Al15—Al14—Al15^viii	111.28 (4)
C1ⁱⁱⁱ—Al5—Al1ⁱⁱⁱ	41.4 (4)	Cr3^viii—Al14—Al8^ix	59.05 (3)
Cr2—Al5—Al1ⁱⁱⁱ	148.01 (3)	Cr3—Al14—Al8^ix	59.05 (3)
Al6—Al5—Al1ⁱⁱⁱ	113.21 (3)	Al4^xiv—Al14—Al8^ix	92.19 (3)
C1ⁱⁱⁱ—Al5—Al4ⁱⁱⁱ	67.6 (4)	Al4^xi—Al14—Al8^ix	92.19 (3)
Cr2—Al5—Al4ⁱⁱⁱ	58.53 (2)	Al13^viii—Al14—Al8^ix	106.61 (3)
Al6—Al5—Al4ⁱⁱⁱ	104.16 (3)	Al13—Al14—Al8^ix	106.61 (3)
Al1ⁱⁱⁱ—Al5—Al4ⁱⁱⁱ	103.44 (3)	Al12^xiv—Al14—Al8^ix	146.44 (3)
C1ⁱⁱⁱ—Al5—Al12^viii	106.6 (4)	Al12^xi—Al14—Al8^ix	146.44 (3)
Cr2—Al5—Al12^viii	145.09 (3)	Al11—Al14—Al8^ix	108.70 (4)
Al6—Al5—Al12^viii	112.38 (3)	Al15—Al14—Al8^ix	56.90 (2)
Al1ⁱⁱⁱ—Al5—Al12^viii	65.49 (3)	Al15^viii—Al14—Al8^ix	56.90 (2)
Al4ⁱⁱⁱ—Al5—Al12^viii	143.29 (3)	Cr3—Al15—Cr2^xv	162.72 (3)
C1ⁱⁱⁱ—Al5—Al3	128.6 (4)	Cr3—Al15—Al8^ix	62.79 (3)
Cr2—Al5—Al3	56.35 (3)	Cr2^xv—Al15—Al8^ix	132.88 (3)
Al6—Al5—Al3	103.18 (3)	Cr3—Al15—Al7^xvi	129.66 (3)
Al1ⁱⁱⁱ—Al5—Al3	143.48 (4)	Cr2^xv—Al15—Al7^xvi	66.04 (2)
Al4ⁱⁱⁱ—Al5—Al3	63.25 (3)	Al8^ix—Al15—Al7^xvi	67.00 (3)
Al12^viii—Al5—Al3	103.79 (3)	Cr3—Al15—Al4^xi	117.44 (3)
C1ⁱⁱⁱ—Al5—Al3ⁱⁱⁱ	51.8 (4)	Cr2^xv—Al15—Al4^xi	59.70 (2)
Cr2—Al5—Al3ⁱⁱⁱ	114.74 (3)	Al8^ix—Al15—Al4^xi	95.44 (3)
Al6—Al5—Al3ⁱⁱⁱ	150.74 (4)	Al7^xvi—Al15—Al4^xi	63.33 (3)
Al1ⁱⁱⁱ—Al5—Al3ⁱⁱⁱ	58.61 (3)	Cr3—Al15—Al8^xv	126.60 (3)
Al4ⁱⁱⁱ—Al5—Al3ⁱⁱⁱ	56.67 (3)	Cr2^xv—Al15—Al8^xv	64.47 (3)
Al12^viii—Al5—Al3ⁱⁱⁱ	90.41 (3)	Al8^ix—Al15—Al8^xv	96.52 (2)
Al3—Al5—Al3ⁱⁱⁱ	88.00 (2)	Al7^xvi—Al15—Al8^xv	62.03 (3)
C1ⁱⁱⁱ—Al5—Al7^viii	51.2 (4)	Al4^xi—Al15—Al8^xv	112.89 (3)
Cr2—Al5—Al7^viii	62.22 (2)	Cr3—Al15—Al15^xii	114.451 (18)
Al6—Al5—Al7^viii	58.16 (2)	Cr2^xv—Al15—Al15^xii	56.841 (17)
Al1ⁱⁱⁱ—Al5—Al7^viii	86.15 (3)	Al8^ix—Al15—Al15^xii	150.02 (2)
Al4ⁱⁱⁱ—Al5—Al7^viii	61.30 (2)	Al7^xvi—Al15—Al15^xii	110.55 (2)
Al12^viii—Al5—Al7^viii	144.42 (3)	Al4^xi—Al15—Al15^xii	110.29 (2)
Al3—Al5—Al7^viii	111.74 (3)	Al8^xv—Al15—Al15^xii	59.907 (18)
Al3ⁱⁱⁱ—Al5—Al7^viii	92.60 (3)	Cr3—Al15—Al7^x	62.10 (2)
C1ⁱⁱⁱ—Al5—Al5^viii	159.0 (4)	Cr2^xv—Al15—Al7^x	128.46 (3)
Cr2—Al5—Al5^viii	57.205 (17)	Al8^ix—Al15—Al7^x	61.76 (3)
Al6—Al5—Al5^viii	57.562 (19)	Al7^xvi—Al15—Al7^x	97.30 (3)
Al1ⁱⁱⁱ—Al5—Al5^viii	147.27 (2)	Al4^xi—Al15—Al7^x	155.52 (3)
Al4ⁱⁱⁱ—Al5—Al5^viii	109.27 (2)	Al8^xv—Al15—Al7^x	64.78 (3)
Al12^viii—Al5—Al5^viii	88.21 (2)	Al15^xii—Al15—Al7^x	89.94 (2)
Al3—Al5—Al5^viii	58.761 (18)	Cr3—Al15—Al14	59.14 (3)
Al3ⁱⁱⁱ—Al5—Al5^viii	145.21 (2)	Cr2^xv—Al15—Al14	118.11 (3)
Al7^viii—Al5—Al5^viii	108.29 (2)	Al8^ix—Al15—Al14	61.58 (3)
C1ⁱⁱⁱ—Al5—Al4	111.4 (4)	Al7^xvi—Al15—Al14	93.91 (3)
Cr2—Al5—Al4	111.45 (3)	Al4^xi—Al15—Al14	59.07 (3)
Al6—Al5—Al4	146.44 (3)	Al8^xv—Al15—Al14	153.46 (3)
Al1ⁱⁱⁱ—Al5—Al4	92.87 (3)	Al15^xii—Al15—Al14	145.64 (2)
Al4ⁱⁱⁱ—Al5—Al4	88.91 (3)	Al7^x—Al15—Al14	111.13 (3)
Al12^viii—Al5—Al4	58.49 (2)	Cr3—Al15—Al16	53.826 (19)
Al3—Al5—Al4	55.14 (3)	Cr2^xv—Al15—Al16	116.32 (3)
Al3ⁱⁱⁱ—Al5—Al4	61.18 (3)	Al8^ix—Al15—Al16	107.54 (3)
Al7^viii—Al5—Al4	148.87 (3)	Al7^xvi—Al15—Al16	154.16 (4)
Al5^viii—Al5—Al4	89.031 (19)	Al4^xi—Al15—Al16	141.72 (3)
Cr2—Al6—Al9	178.55 (4)	Al8^xv—Al15—Al16	94.83 (3)
Cr2—Al6—Cr3^ix	119.55 (3)	Al15^xii—Al15—Al16	60.744 (17)
Al9—Al6—Cr3^ix	59.27 (2)	Al7^x—Al15—Al16	60.20 (3)
Cr2—Al6—Cr3^x	119.55 (3)	Al14—Al15—Al16	105.66 (3)
Al9—Al6—Cr3^x	59.27 (2)	Cr3—Al15—Al2^xv	109.88 (3)
Cr3^ix—Al6—Cr3^x	61.04 (3)	Cr2^xv—Al15—Al2^xv	53.18 (2)
Cr2—Al6—Al8	67.50 (3)	Al8^ix—Al15—Al2^xv	148.91 (3)
Al9—Al6—Al8	111.05 (4)	Al7^xvi—Al15—Al2^xv	110.84 (3)
Cr3^ix—Al6—Al8	62.37 (3)	Al4^xi—Al15—Al2^xv	59.70 (2)
Cr3^x—Al6—Al8	62.37 (3)	Al8^xv—Al15—Al2^xv	109.86 (3)
Cr2—Al6—Al5	61.81 (3)	Al15^xii—Al15—Al2^xv	61.023 (17)
Al9—Al6—Al5	119.34 (3)	Al7^x—Al15—Al2^xv	144.77 (3)
Cr3^ix—Al6—Al5	117.04 (2)	Al14—Al15—Al2^xv	88.31 (3)
Cr3^x—Al6—Al5	177.94 (3)	Al16—Al15—Al2^xv	86.87 (3)
Al8—Al6—Al5	117.73 (4)	Cr3—Al15—Al13	52.94 (2)
Cr2—Al6—Al5^viii	61.81 (3)	Cr2^xv—Al15—Al13	110.25 (3)
Al9—Al6—Al5^viii	119.34 (3)	Al8^ix—Al15—Al13	106.88 (3)
Cr3^ix—Al6—Al5^viii	177.94 (3)	Al7^xvi—Al15—Al13	147.44 (3)
Cr3^x—Al6—Al5^viii	117.035 (19)	Al4^xi—Al15—Al13	86.44 (3)
Al8—Al6—Al5^viii	117.73 (4)	Al8^xv—Al15—Al13	148.22 (3)
Al5—Al6—Al5^viii	64.88 (4)	Al15^xii—Al15—Al13	90.319 (19)
Cr2—Al6—Al7^viii	66.91 (2)	Al7^x—Al15—Al13	107.77 (3)
Al9—Al6—Al7^viii	112.59 (2)	Al14—Al15—Al13	58.09 (3)
Cr3^ix—Al6—Al7^viii	62.16 (2)	Al16—Al15—Al13	58.07 (3)
Cr3^x—Al6—Al7^viii	114.30 (3)	Al2^xv—Al15—Al13	57.07 (2)
Al8—Al6—Al7^viii	63.93 (2)	Cr3^xii—Al16—Cr3	166.95 (5)
Al5—Al6—Al7^viii	64.52 (2)	Cr3^xii—Al16—Al10^x	129.30 (4)
Al5^viii—Al6—Al7^viii	119.85 (4)	Cr3—Al16—Al10^x	63.74 (2)
Cr2—Al6—Al7	66.91 (2)	Cr3^xii—Al16—Al10^xiii	63.74 (2)
Al9—Al6—Al7	112.59 (2)	Cr3—Al16—Al10^xiii	129.30 (4)
Cr3^ix—Al6—Al7	114.30 (3)	Al10^x—Al16—Al10^xiii	65.56 (4)
Cr3^x—Al6—Al7	62.16 (2)	Cr3^xii—Al16—Al13	115.20 (4)
Al8—Al6—Al7	63.93 (2)	Cr3—Al16—Al13	54.98 (2)
Al5—Al6—Al7	119.85 (4)	Al10^x—Al16—Al13	107.53 (3)
Al5^viii—Al6—Al7	64.52 (2)	Al10^xiii—Al16—Al13	147.77 (4)
Al7^viii—Al6—Al7	119.74 (4)	Cr3^xii—Al16—Al13^xii	54.98 (2)
Cr2—Al6—Al10^viii	120.60 (2)	Cr3—Al16—Al13^xii	115.20 (4)
Al9—Al6—Al10^viii	59.85 (2)	Al10^x—Al16—Al13^xii	147.77 (4)
Cr3^ix—Al6—Al10^viii	61.15 (2)	Al10^xiii—Al16—Al13^xii	107.53 (3)
Cr3^x—Al6—Al10^viii	110.50 (3)	Al13—Al16—Al13^xii	60.41 (3)
Al8—Al6—Al10^viii	115.89 (3)	Cr3^xii—Al16—Al7^x	120.36 (4)
Al5—Al6—Al10^viii	67.52 (2)	Cr3—Al16—Al7^x	62.11 (2)
Al5^viii—Al6—Al10^viii	119.82 (4)	Al10^x—Al16—Al7^x	63.66 (3)
Al7^viii—Al6—Al10^viii	64.69 (2)	Al10^xiii—Al16—Al7^x	94.97 (4)
Al7—Al6—Al10^viii	172.24 (4)	Al13—Al16—Al7^x	110.32 (3)
Cr2—Al6—Al10	120.60 (2)	Al13^xii—Al16—Al7^x	147.13 (4)
Al9—Al6—Al10	59.85 (2)	Cr3^xii—Al16—Al7^xiii	62.11 (2)
Cr3^ix—Al6—Al10	110.50 (3)	Cr3—Al16—Al7^xiii	120.36 (4)
Cr3^x—Al6—Al10	61.15 (2)	Al10^x—Al16—Al7^xiii	94.97 (4)
Al8—Al6—Al10	115.89 (3)	Al10^xiii—Al16—Al7^xiii	63.66 (3)
Al5—Al6—Al10	119.82 (4)	Al13—Al16—Al7^xiii	147.13 (4)
Al5^viii—Al6—Al10	67.52 (2)	Al13^xii—Al16—Al7^xiii	110.32 (3)
Al7^viii—Al6—Al10	172.24 (4)	Al7^x—Al16—Al7^xiii	58.65 (4)
Al7—Al6—Al10	64.69 (2)	Cr3^xii—Al16—Al15^xii	55.27 (2)
Al10^viii—Al6—Al10	110.15 (4)	Cr3—Al16—Al15^xii	113.67 (3)
Cr2—Al6—Al11	121.55 (4)	Al10^x—Al16—Al15^xii	149.83 (4)
Al9—Al6—Al11	59.90 (3)	Al10^xiii—Al16—Al15^xii	109.59 (3)
Cr3^ix—Al6—Al11	110.11 (3)	Al13—Al16—Al15^xii	91.46 (3)
Cr3^x—Al6—Al11	110.11 (3)	Al13^xii—Al16—Al15^xii	62.21 (3)
Al8—Al6—Al11	170.95 (5)	Al7^x—Al16—Al15^xii	88.07 (3)
Al5—Al6—Al11	69.59 (3)	Al7^xiii—Al16—Al15^xii	59.18 (3)
Al5^viii—Al6—Al11	69.59 (3)	Cr3^xii—Al16—Al15	113.67 (3)
Al7^viii—Al6—Al11	118.17 (2)	Cr3—Al16—Al15	55.27 (2)
Al7—Al6—Al11	118.17 (2)	Al10^x—Al16—Al15	109.59 (3)
Al10^viii—Al6—Al11	60.69 (2)	Al10^xiii—Al16—Al15	149.83 (4)
Al10—Al6—Al11	60.69 (2)	Al13—Al16—Al15	62.21 (3)
C1ⁱ—Al7—Al6	104.7 (3)	Al13^xii—Al16—Al15	91.46 (3)
C1ⁱ—Al7—Al15^vii	123.3 (4)	Al7^x—Al16—Al15	59.18 (3)
Al6—Al7—Al15^vii	98.86 (3)	Al7^xiii—Al16—Al15	88.07 (3)
C1ⁱ—Al7—Cr3^x	119.6 (4)	Al15^xii—Al16—Al15	58.51 (3)
Al6—Al7—Cr3^x	56.80 (2)	Cr3^xii—Al16—Al10	123.24 (4)
Al15^vii—Al7—Cr3^x	116.53 (3)	Cr3—Al16—Al10	61.71 (2)
C1ⁱ—Al7—Al7^xii	53.6 (2)	Al10^x—Al16—Al10	58.93 (3)
Al6—Al7—Al7^xii	149.87 (2)	Al10^xiii—Al16—Al10	92.35 (3)
Al15^vii—Al7—Al7^xii	110.56 (2)	Al13—Al16—Al10	60.28 (2)
Cr3^x—Al7—Al7^xii	112.042 (17)	Al13^xii—Al16—Al10	91.25 (3)
C1ⁱ—Al7—Al15^x	139.6 (3)	Al7^x—Al16—Al10	111.89 (3)
Al6—Al7—Al15^x	100.28 (3)	Al7^xiii—Al16—Al10	151.23 (4)
Al15^vii—Al7—Al15^x	82.70 (3)	Al15^xii—Al16—Al10	149.25 (4)
Cr3^x—Al7—Al15^x	53.03 (2)	Al15—Al16—Al10	110.90 (3)
Al7^xii—Al7—Al15^x	90.06 (2)	Cr3^xii—Al16—Al10^xii	61.71 (2)
C1ⁱ—Al7—Al8	160.3 (2)	Cr3—Al16—Al10^xii	123.24 (4)
Al6—Al7—Al8	56.68 (3)	Al10^x—Al16—Al10^xii	92.35 (3)
Al15^vii—Al7—Al8	60.04 (3)	Al10^xiii—Al16—Al10^xii	58.93 (3)
Cr3^x—Al7—Al8	58.11 (3)	Al13—Al16—Al10^xii	91.25 (3)
Al7^xii—Al7—Al8	145.96 (2)	Al13^xii—Al16—Al10^xii	60.29 (2)
Al15^x—Al7—Al8	57.33 (3)	Al7^x—Al16—Al10^xii	151.23 (4)
C1ⁱ—Al7—Al16^xiii	83.9 (4)	Al7^xiii—Al16—Al10^xii	111.89 (3)
Al6—Al7—Al16^xiii	100.02 (3)	Al15^xii—Al16—Al10^xii	110.90 (3)
Al15^vii—Al7—Al16^xiii	141.08 (4)	Al15—Al16—Al10^xii	149.25 (4)
Cr3^x—Al7—Al16^xiii	51.703 (18)	Al10—Al16—Al10^xii	61.91 (3)
Al7^xii—Al7—Al16^xiii	60.678 (18)

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

Funding information

We greatly acknowledge financial support from the Hebei Province Youth Top-notch Talent Program (2013–2018).

References

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