The new structure type Gd₃Ni₇Al₁₄

The crystal structure of Gd₃Ni₇Al₁₄ (trigadolinium hepta­nickel tetra­deca­aluminide) belongs to a family of two-layer structures and can be described as an assembly of inter­penetrating centred straight prisms. For the Ni atoms, trigonal prisms (Al₄Gd₂ and Al₆) are observed, the Al atoms are inside tetra­gonal (Ni₂Al₂Gd₄, Ni₂Al₄Gd₂, Al₄Gd₄, Ni₄Al₄ and Al₈) and penta­gonal (Ni₄Al₆ and Al₁₀) prisms, while the Gd atoms are at the centres of penta­gonal (Ni₄Al₆) and hexa­gonal (Ni₄Al₈) prisms. In each case, the true coordination polyhedron is a capped prism, also including atoms from the same layer. The structural features of Gd₃Ni₇Al₁₄ are similar to those of the inter­metallides PrNi₂Al₃ and ZrNiAl. In all these structures, Ni-centred trigonal prisms form infinite columns via common triangular faces. The columns share prism edges and form a three-dimensional framework with six-membered rings in the (001) plane in the case of the PrNi₂Al₃ and ZrNiAl types. In the case of Gd₃Ni₇Al₁₄, six-membered rings are also observed, but only two-thirds of the rings are inter­connected via prism edges.

S1. Introduction

The inter­action of the components in the Gd–Ni–Al system has been investigated at 1073 K in the concentration range 0–33.3 at.% Gd (Rykhal et al., 1978). The existence of two previously known compounds, GdNiAl₂ (Rykhal et al., 1973) and GdNiAl (Oesterreicher, 1973), was confirmed, the formation of seven new ternary inter­metallics was established, and the isothermal cross-section of the phase diagram was constructed. The crystal structures of six of the nine reported compounds are known, of which three exhibit orthorhombic symmetry [GdNiAl₄ (structure type YNiAl₄, Pearson symbol oS24, space group Cmcm), GdNiAl₂ (MgCuAl₂, oS16, Cmcm) and Gd₂Ni₂Al (W₂CoB₂, oI10, Immm)], two exhibit hexagonal symmetry [Gd₃Ni₈Al (Ce₃Co₈Si, hP24, P6₃/mmc) and GdNiAl (ZrNiAl, hP9, P62m)] and one exhibits cubic symmetry [Gd₃Ni₆Al₂ (Ce₃Ni₆Si₂, cI44, Im3m)]. For the other three compounds, of approximate compositions GdNi₂Al₃, ~Gd₂Ni₃Al₇ and ~GdNi₃Al₁₆, only the cell parameters were determined. Later on, it was established that the crystal structure of GdNi₂Al₃ belongs to the hexagonal YNi₂Al₃ type (hP18, P6/mmm, composition GdNi₂Al₃ and GdNi_2.75Al_2.25; Zarechnyuk & Rykhal', 1981) or its substitution derivative YCo₃Ga₂ (hP18, P6/mmm, composition GdNi_2.5Al_2.5; Šorgić et al., 1995). The structure of the compound with nominal composition ~GdNi₃Al₁₆ was also solved and its composition was shown to be Gd₃Ni₅Al₁₉, orthorhombic own structure type (oS108, Cmcm; Gladyshevskii et al., 1992).

It should be noted that four more compounds have been reported in the Gd–Ni–Al system, viz. GdNi₃Al₉ (Gd_0.67Ni₂Al₆), Gd₄Ni₆Al₂₃, GdNiAl₃ and GdNi₃Al₂. The crystal structure of GdNi₃Al₉ was determined by X-ray single-crystal diffraction and belongs to the rhombohedral ErNi₃Al₉ type (hR78, R32; Gladyshevskii et al., 1993), whereas a recent investigation using X-ray powder diffraction showed the closely related partially disordered hexagonal structure type Yb_0.67Ni₂Al₆ (hP11–2.33, P6m2, composition Gd_0.67Ni₂Al₆; Matselko et al., 2013). The crystal structure of Gd₄Ni₆Al₂₃ belongs to the monoclinic structure type Y₄Ni₆Al₂₃ (mS66, C2/m; Gladyshevskii & Parthé, 1992) and that of GdNiAl₃ to the orthorhombic structure type YNiAl₃ (oP20, Pnma; Pukas et al., 2010a).

GdNi₃Al₂ exists in two modifications, i.e. the crystal structure of the room-temperature modification adopts the hexagonal structure type PrNi₂Al₃ (hP6, P6/mmm; Šorgić et al., 1995), whereas the crystal structure of the high-temperature modification is unknown (Pechev et al., 2000). A second modification of the equiatomic inter­metallide (GdNiAl) is also known as a high-temperature high-pressure modification, the structure of which belongs to the hexagonal MgZn₂ structure type (hP12, P6₃/mmc; Tsvyashchenko & Fomicheva, 1987).

The aim of the present work was to provide structural data for the compound with nominal composition ~Gd₂Ni₃Al₇. A preliminary account was published as a conference abstract (Pukas et al., 2010b).

S2. Experimental

S2.1. Synthesis and crystallization

A sample of nominal composition Gd_16.7Ni_25.0Al_58.3 was synthesized from high-purity elements (Gd ≥ 99.86 wt%, Ni ≥ 99.99 wt% and Al ≥ 99.998 wt%) by arc melting in a water-cooled copper crucible with a tungsten electrode, under a purified argon atmosphere (using Ti as a getter). The weight loss during the preparation of the alloy was less than 0.5% of the total mass, which was 1 g. The sample was annealed at 873 K in a quartz ampoule under vacuum for two months, and subsequently quenched in cold water.

S2.2. Refinement

A single-crystal extracted from the annealed sample was mounted on an Enraf–Nonius CAD-4 T diffractometer (Mo Kα radiation, λ = 0.71073 Å, graphite monochromator). The composition obtained from the structure refinement, i.e. Gd₃Ni₇Al₁₄, differs slightly from the nominal composition of the alloy. Crystallographic data and details of the data collection and structure refinement are summarized in Table 1. The atomic coordinates were standardized by the program STRUCTURE TIDY (Gelato & Parthé, 1987).

S3. Results and discussion

Like the majority of the compounds in R–Ni–Al systems (where R is a rare-earth metal), the structure of Gd₃Ni₇Al₁₄ is ordered. The Gd atoms occupy two Wyckoff positions, the Ni atoms occupy five Wyckoff positions and the Al atoms occupy ten Wyckoff positions. The structure belongs to a family of two-layer structures, which are characterized by at least one short translation parameter. Two kinds of monoatomic layer alternate along the short translation period. The atoms of each layer are situated at the centres of polyhedra built up of atoms of neighbouring layers. The structures can be described as an assembly of straight prisms with an equatorial mirror plane. The axes of the prisms are parallel to the short translation period. It should be mentioned that the complete coordination polyhedra also include atoms situated in the same layer as the central atoms, which cap the faces of the prisms.

A projection of the monoatomic layers in the structure of Gd₃Ni₇Al₁₄ along the crystallographic [001] direction, drawn using the program ATOMS (Dowty, 1999), is presented in Fig. 1. The layers located at z = 0 and z = 1/2 can be considered as a net of triangles, squares (tetra­gons) and hexagons, and as a net of triangles, squares (tetra­gons) and penta­gons, respectively.

As can be seen from Fig. 2, the Gd atoms are at the centres of hexagonal and penta­gonal prisms consisting of four Ni and eight or six Al atoms, respectively. The re­cta­ngular faces of the hexagonal prisms are capped by one Ni and five Al atoms, whereas those of the penta­gonal prisms are exclusively capped by Al atoms. The Ni atoms are situated in trigonal (Al₄Gd₂ and Al₆) prisms, with an additional four to six atoms (Gd, Ni and Al) above the re­cta­ngular faces and/or edges of the prisms. In the case of the Ni atoms at site Ni5, the tricapped trigonal prisms are built up exclusively by Al atoms. The Al atoms are inside penta­gonal (Ni₄Al₆ and Al₁₀) and tetra­gonal (Ni₂Al₂Gd₄, Ni₂Al₄Gd₂, Al₄Gd₄, Ni₄Al₄ and Al₈) prisms. The lateral faces of these prisms are capped by different atoms (Gd, Ni and Al). In the case of the Al atoms at the Al2 site, one more atom (an Ni atom), located beyond one of the edges of the tetra­gonal prism, is included in the coordination polyhedron.

The structure type Gd₃Ni₇Al₁₄ shows structural features that have already been observed for two other ternary aluminides, namely PrNi₂Al₃ (hP6, P6/mmm) and ZrNiAl (hP9, P62m) (Fig. 3). Comparing these structures, one notes the similar environment of the Ni atoms, which are located inside straight trigonal prisms. In PrNi₂Al₃, the trigonal prisms have the composition Al₆. In the ZrNiAl-type structure, the Ni atoms occupy two distinct sites at the centres of prisms consisting of six Zr atoms or six Al atoms. In Gd₃Ni₇Al₁₄, the Ni atoms occupy five distinct sites.

In all the structures discussed here, the Ni-centred trigonal prisms form infinite columns (common triangular faces) along the short translation period (z axis). As can be seen from Fig. 3, in the PrNi₂Al₃-type structure, the Al₆ trigonal prisms are connected via the prism edges in the (001) plane, forming infinite layers with six-membered rings. In such a way, hexagonal channels are formed, inside which isolated Pr atoms are situated. A similar situation is observed for the ZrNiAl-type structure, i.e. the Zr₆ prisms share the prism edges and form infinite layers with six-membered rings. Inside the hexagonal channels, isolated columns of Al₆ prisms are located.

In Gd₃Ni₇Al₁₄, columns of Ni-centred Al₄Gd₂ trigonal prisms are arranged into `hexagonal tubes', with isolated columns of Al₆ prisms inside the tubes. Two tubes of three per unit cell of Al₄Gd₂ prisms are connected via prism edges, the remaining tubes being isolated. Additional Al atoms occupy the space between the six-membered rings of trigonal prisms.

Computing details

Data collection: CAD-4 EXPRESS (Enraf–Nonius, 1994); cell refinement: CAD-4 EXPRESS (Enraf–Nonius, 1994); data reduction: XCAD4 (Harms & Wocadlo, 1995); program(s) used to solve structure: SHELXL97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015); molecular graphics: ATOMS (Dowty, 1999); software used to prepare material for publication: SHELXL2014 (Sheldrick, 2015).

Figures

	Fig. 1. Projections, along [001], of the monoatomic layers of the structure of Gd3Ni7Al14 at z = 0 and z = 1/2.
	Fig. 2. The coordination polyhedra of the atoms in the structure of Gd3Ni7Al14.
	Fig. 3. The stacking of the Ni-centred trigonal prisms in the structures of PrNi2Al3, ZrNiAl and Gd3Ni7Al14, projected along [001].

Trigadolinium heptanickel tetradecaaluminide

Crystal data

Gd3Ni7Al14	Dx = 5.554 Mg m^−3
Mr = 1260.44	Mo Kα radiation, λ = 0.71073 Å
Hexagonal, P62m	Cell parameters from 25 reflections
a = 17.966 (5) Å	θ = 5.5–12.9°
c = 4.0448 (6) Å	µ = 22.31 mm^−1
V = 1130.6 (7) Å^3	T = 293 K
Z = 3	Needle, metallic-grey
F(000) = 1710	0.10 × 0.02 × 0.02 mm

Data collection

Enraf–Nonius CAD-4T diffractometer	Rint = 0.066
Radiation source: fine-focus sealed tube	θmax = 35.0°, θmin = 2.3°
ω/2θ scans	h = −28→24
Absorption correction: multi-scan (SORTAV; Blessing, 1995)	k = −3→28
Tmin = 0.407, Tmax = 0.799	l = −6→6
8229 measured reflections	2 standard reflections every 120 min
1834 independent reflections	intensity decay: 12%
1575 reflections with I > 2σ(I)

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	w = 1/[σ^2(Fo^2) + (0.005P)^2] where P = (Fo^2 + 2Fc^2)/3
R[F^2 > 2σ(F^2)] = 0.023	(Δ/σ)max < 0.001
wR(F^2) = 0.031	Δρmax = 1.30 e Å^−3
S = 0.81	Δρmin = −1.59 e Å^−3
1834 reflections	Absolute structure: Flack x parameter determined using 647 quotients [(I^+) - (I^-)]/[(I^+) + (I^-)] (Parsons et al., 2013)
81 parameters	Absolute structure parameter: −0.040 (17)

Special details

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.

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

	x	y	z	Uiso*/Ueq
Gd1	0.30680 (3)	0.48122 (3)	0.5000	0.00642 (7)
Gd2	0.20317 (3)	0.0000	0.0000	0.00673 (10)
Ni1	0.14012 (7)	0.22783 (7)	0.5000	0.0068 (2)
Ni2	0.08542 (7)	0.53536 (7)	0.0000	0.0068 (2)
Ni3	0.15216 (7)	0.42823 (7)	0.0000	0.0068 (2)
Ni4	0.3333	0.6667	0.5000	0.0056 (3)
Ni5	0.0000	0.0000	0.0000	0.0090 (5)
Al1	0.09982 (17)	0.34005 (19)	0.5000	0.0088 (5)
Al2	0.14542 (17)	0.50499 (16)	0.5000	0.0085 (5)
Al3	0.20022 (18)	0.32339 (18)	0.0000	0.0094 (5)
Al4	0.24196 (19)	0.58817 (19)	0.0000	0.0093 (5)
Al5	0.0851 (2)	0.0000	0.5000	0.0080 (7)
Al6	0.5127 (2)	0.0000	0.5000	0.0096 (8)
Al7	0.7055 (2)	0.0000	0.5000	0.0094 (7)
Al8	0.3766 (2)	0.0000	0.0000	0.0146 (9)
Al9	0.6093 (3)	0.0000	0.0000	0.0169 (9)
Al10	0.8590 (2)	0.0000	0.0000	0.0098 (7)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Gd1	0.00689 (17)	0.00654 (18)	0.00604 (15)	0.00352 (15)	0.000	0.000
Gd2	0.00689 (18)	0.0066 (3)	0.0066 (3)	0.00331 (14)	0.000	0.000
Ni1	0.0068 (5)	0.0063 (5)	0.0066 (5)	0.0028 (4)	0.000	0.000
Ni2	0.0069 (5)	0.0061 (5)	0.0072 (5)	0.0031 (4)	0.000	0.000
Ni3	0.0066 (5)	0.0066 (5)	0.0075 (5)	0.0036 (4)	0.000	0.000
Ni4	0.0057 (5)	0.0057 (5)	0.0054 (9)	0.0028 (2)	0.000	0.000
Ni5	0.0083 (8)	0.0083 (8)	0.0106 (14)	0.0041 (4)	0.000	0.000
Al1	0.0092 (13)	0.0107 (14)	0.0081 (14)	0.0063 (11)	0.000	0.000
Al2	0.0069 (13)	0.0069 (12)	0.0111 (13)	0.0029 (11)	0.000	0.000
Al3	0.0088 (12)	0.0102 (12)	0.0080 (13)	0.0038 (10)	0.000	0.000
Al4	0.0105 (11)	0.0098 (12)	0.0090 (13)	0.0061 (10)	0.000	0.000
Al5	0.0079 (12)	0.0038 (15)	0.0111 (19)	0.0019 (8)	0.000	0.000
Al6	0.0100 (14)	0.0116 (19)	0.0077 (19)	0.0058 (10)	0.000	0.000
Al7	0.0089 (12)	0.0076 (17)	0.011 (2)	0.0038 (9)	0.000	0.000
Al8	0.0173 (16)	0.016 (2)	0.0100 (18)	0.0081 (10)	0.000	0.000
Al9	0.0241 (17)	0.0095 (19)	0.012 (2)	0.0048 (9)	0.000	0.000
Al10	0.0088 (12)	0.0114 (19)	0.0101 (18)	0.0057 (9)	0.000	0.000

Geometric parameters (Å, º)

Gd1—Ni4	3.1208 (10)	Al2—Ni2^ii	2.4774 (17)
Gd1—Al2	3.135 (3)	Al2—Ni3^ii	2.4847 (17)
Gd1—Al2^i	3.153 (3)	Al2—Al4^ii	2.596 (3)
Gd1—Ni3^ii	3.1733 (11)	Al2—Al4	2.596 (3)
Gd1—Ni3	3.1733 (11)	Al2—Al6^vi	2.685 (3)
Gd1—Ni2^iii	3.1866 (10)	Al2—Gd1^xiii	3.153 (3)
Gd1—Ni2^i	3.1866 (10)	Al3—Ni1^v	2.5199 (19)
Gd1—Al6^iv	3.190 (2)	Al3—Al1^v	2.824 (3)
Gd1—Al3^ii	3.220 (2)	Al3—Al7^iv	2.848 (2)
Gd1—Al3	3.220 (2)	Al3—Al7^xviii	2.848 (2)
Gd1—Al7^iv	3.250 (3)	Al3—Al10^iv	2.895 (4)
Gd1—Al1	3.291 (3)	Al3—Gd2^vi	3.136 (3)
Gd2—Al5^v	2.931 (3)	Al3—Gd1^v	3.220 (2)
Gd2—Al5	2.931 (3)	Al4—Ni4^v	2.5414 (18)
Gd2—Al1^vi	2.991 (2)	Al4—Al2^v	2.596 (3)
Gd2—Al1^vii	2.991 (2)	Al4—Al4^xiv	2.666 (5)
Gd2—Al1^viii	2.991 (2)	Al4—Al4^i	2.666 (5)
Gd2—Al1^ix	2.991 (2)	Al4—Gd1^v	3.373 (2)
Gd2—Ni1^vi	3.0834 (10)	Al4—Gd1^xiii	3.378 (2)
Gd2—Ni1^ix	3.0834 (10)	Al4—Gd1^xiv	3.378 (2)
Gd2—Ni1^vii	3.0835 (10)	Al5—Ni5^ii	2.535 (2)
Gd2—Ni1^viii	3.0835 (10)	Al5—Ni1^viii	2.541 (2)
Gd2—Al8	3.115 (5)	Al5—Ni1^vi	2.541 (2)
Gd2—Al3^vi	3.136 (3)	Al5—Al5^xii	2.648 (7)
Ni1—Al7^iv	2.410 (4)	Al5—Al5^vi	2.648 (7)
Ni1—Al1	2.459 (3)	Al5—Gd2^ii	2.931 (3)
Ni1—Al3	2.5199 (19)	Al5—Al10^xv	2.996 (2)
Ni1—Al3^ii	2.5199 (19)	Al5—Al10^x	2.996 (2)
Ni1—Al5^vi	2.541 (2)	Al5—Al10^xix	2.996 (2)
Ni1—Al10^iv	2.5588 (14)	Al5—Al10^iv	2.996 (2)
Ni1—Al10^x	2.5588 (14)	Al6—Ni2^vii	2.4467 (9)
Ni1—Ni1^vi	2.729 (2)	Al6—Ni2^xi	2.4467 (9)
Ni1—Gd2^vi	3.0835 (10)	Al6—Ni2^vi	2.4467 (9)
Ni1—Gd2^xi	3.0835 (10)	Al6—Ni2^viii	2.4467 (9)
Ni2—Al6^ix	2.4467 (9)	Al6—Al9	2.665 (4)
Ni2—Al6^vi	2.4467 (9)	Al6—Al9^ii	2.665 (4)
Ni2—Al8^vi	2.473 (4)	Al6—Al2^viii	2.685 (3)
Ni2—Al2	2.4774 (17)	Al6—Al2^vi	2.685 (3)
Ni2—Al2^v	2.4774 (17)	Al6—Gd1^xx	3.190 (2)
Ni2—Al4	2.478 (3)	Al6—Gd1^xxi	3.190 (2)
Ni2—Al9^vi	2.482 (5)	Al7—Ni1^xxi	2.409 (4)
Ni2—Ni2^xii	2.658 (2)	Al7—Ni1^xx	2.410 (4)
Ni2—Ni3	2.7293 (17)	Al7—Al9^ii	2.660 (4)
Ni2—Gd1^xiii	3.1865 (10)	Al7—Al9	2.660 (4)
Ni2—Gd1^xiv	3.1865 (10)	Al7—Al3^xxii	2.847 (2)
Ni3—Al8^vi	2.4078 (15)	Al7—Al3^xxi	2.847 (2)
Ni3—Al3	2.433 (3)	Al7—Al3^xxiii	2.847 (2)
Ni3—Al1^v	2.4484 (18)	Al7—Al3^xx	2.847 (2)
Ni3—Al1	2.4484 (18)	Al7—Gd1^xxi	3.250 (3)
Ni3—Al2^v	2.4847 (17)	Al7—Gd1^xx	3.250 (3)
Ni3—Al2	2.4847 (17)	Al8—Ni3^vii	2.4078 (15)
Ni3—Al4	2.495 (3)	Al8—Ni3^vi	2.4078 (15)
Ni3—Gd1^v	3.1734 (11)	Al8—Ni2^vi	2.473 (4)
Ni4—Al4^xiii	2.5413 (18)	Al8—Ni2^vii	2.473 (4)
Ni4—Al4^xiv	2.5413 (18)	Al8—Al1^vii	2.986 (3)
Ni4—Al4	2.5414 (18)	Al8—Al1^vi	2.986 (3)
Ni4—Al4^ii	2.5414 (18)	Al8—Al1^ix	2.986 (3)
Ni4—Al4^iii	2.5414 (18)	Al8—Al1^viii	2.986 (3)
Ni4—Al4^i	2.5414 (18)	Al9—Ni2^vii	2.482 (5)
Ni4—Gd1^xiii	3.1207 (10)	Al9—Ni2^vi	2.482 (5)
Ni4—Gd1^i	3.1208 (10)	Al9—Al7^v	2.660 (4)
Ni5—Al10^iv	2.534 (4)	Al9—Al6^v	2.665 (4)
Ni5—Al10^xv	2.534 (4)	Al9—Gd1^xxiv	3.3850 (7)
Ni5—Al10^xvi	2.534 (4)	Al9—Gd1^xx	3.3850 (7)
Ni5—Al5	2.535 (2)	Al9—Gd1^xxi	3.3850 (7)
Ni5—Al5^xvii	2.535 (2)	Al9—Gd1^xxv	3.3850 (7)
Ni5—Al5^vi	2.535 (2)	Al10—Ni5^xxvi	2.534 (4)
Ni5—Al5^v	2.535 (2)	Al10—Ni1^xx	2.5588 (14)
Ni5—Al5^ix	2.535 (2)	Al10—Ni1^xxv	2.5588 (14)
Ni5—Al5^xii	2.535 (2)	Al10—Ni1^xxiv	2.5588 (14)
Al1—Ni3^ii	2.4484 (18)	Al10—Ni1^xxi	2.5588 (14)
Al1—Al2	2.650 (4)	Al10—Al3^xxi	2.895 (4)
Al1—Al3	2.824 (3)	Al10—Al3^xx	2.895 (4)
Al1—Al3^ii	2.824 (3)	Al10—Al5^xxvii	2.996 (2)
Al1—Al8^vi	2.986 (3)	Al10—Al5^xxv	2.996 (2)
Al1—Al8^xi	2.986 (3)	Al10—Al5^xx	2.996 (2)
Al1—Gd2^vi	2.991 (2)	Al10—Al5^xxviii	2.996 (2)
Al1—Gd2^xi	2.991 (2)	Al10—Gd2^xxvii	3.2396 (13)
Ni4—Gd1—Al2	60.83 (5)	Al4—Al2—Gd1	71.41 (9)
Ni4—Gd1—Al2^i	60.63 (5)	Al1—Al2—Gd1	68.75 (8)
Al2—Gd1—Al2^i	121.45 (8)	Al6^vi—Al2—Gd1	175.79 (12)
Ni4—Gd1—Ni3^ii	87.92 (2)	Ni2—Al2—Gd1^xiii	67.71 (6)
Al2—Gd1—Ni3^ii	46.39 (3)	Ni2^ii—Al2—Gd1^xiii	67.71 (6)
Al2^i—Gd1—Ni3^ii	130.77 (3)	Ni3—Al2—Gd1^xiii	124.57 (5)
Ni4—Gd1—Ni3	87.92 (2)	Ni3^ii—Al2—Gd1^xiii	124.57 (5)
Al2—Gd1—Ni3	46.39 (3)	Al4^ii—Al2—Gd1^xiii	71.23 (8)
Al2^i—Gd1—Ni3	130.77 (3)	Al4—Al2—Gd1^xiii	71.22 (8)
Ni3^ii—Gd1—Ni3	79.18 (3)	Al1—Al2—Gd1^xiii	172.70 (12)
Ni4—Gd1—Ni2^iii	87.38 (2)	Al6^vi—Al2—Gd1^xiii	65.66 (8)
Al2—Gd1—Ni2^iii	130.64 (3)	Gd1—Al2—Gd1^xiii	118.55 (8)
Al2^i—Gd1—Ni2^iii	46.00 (3)	Ni3—Al3—Ni1^v	109.30 (8)
Ni3^ii—Gd1—Ni2^iii	100.82 (3)	Ni3—Al3—Ni1	109.30 (8)
Ni3—Gd1—Ni2^iii	175.30 (3)	Ni1^v—Al3—Ni1	106.75 (12)
Ni4—Gd1—Ni2^i	87.38 (2)	Ni3—Al3—Al1	54.92 (7)
Al2—Gd1—Ni2^i	130.64 (3)	Ni1^v—Al3—Al1	124.63 (12)
Al2^i—Gd1—Ni2^i	46.00 (3)	Ni1—Al3—Al1	54.45 (6)
Ni3^ii—Gd1—Ni2^i	175.30 (3)	Ni3—Al3—Al1^v	54.91 (7)
Ni3—Gd1—Ni2^i	100.82 (3)	Ni1^v—Al3—Al1^v	54.45 (7)
Ni2^iii—Gd1—Ni2^i	78.79 (3)	Ni1—Al3—Al1^v	124.63 (12)
Ni4—Gd1—Al6^iv	110.70 (6)	Al1—Al3—Al1^v	91.49 (11)
Al2—Gd1—Al6^iv	171.53 (7)	Ni3—Al3—Al7^iv	127.94 (7)
Al2^i—Gd1—Al6^iv	50.08 (7)	Ni1^v—Al3—Al7^iv	122.49 (12)
Ni3^ii—Gd1—Al6^iv	137.13 (3)	Ni1—Al3—Al7^iv	52.92 (8)
Ni3—Gd1—Al6^iv	137.13 (3)	Al1—Al3—Al7^iv	88.87 (5)
Ni2^iii—Gd1—Al6^iv	45.13 (3)	Al1^v—Al3—Al7^iv	176.18 (15)
Ni2^i—Gd1—Al6^iv	45.13 (3)	Ni3—Al3—Al7^xviii	127.94 (7)
Ni4—Gd1—Al3^ii	130.26 (4)	Ni1^v—Al3—Al7^xviii	52.92 (8)
Al2—Gd1—Al3^ii	86.37 (6)	Ni1—Al3—Al7^xviii	122.49 (12)
Al2^i—Gd1—Al3^ii	134.00 (5)	Al1—Al3—Al7^xviii	176.18 (15)
Ni3^ii—Gd1—Al3^ii	44.73 (5)	Al1^v—Al3—Al7^xviii	88.87 (5)
Ni3—Gd1—Al3^ii	95.17 (5)	Al7^iv—Al3—Al7^xviii	90.51 (9)
Ni2^iii—Gd1—Al3^ii	88.00 (5)	Ni3—Al3—Al10^iv	143.55 (13)
Ni2^i—Gd1—Al3^ii	139.68 (6)	Ni1^v—Al3—Al10^iv	55.88 (6)
Al6^iv—Gd1—Al3^ii	100.19 (7)	Ni1—Al3—Al10^iv	55.88 (6)
Ni4—Gd1—Al3	130.26 (4)	Al1—Al3—Al10^iv	103.14 (9)
Al2—Gd1—Al3	86.37 (6)	Al1^v—Al3—Al10^iv	103.14 (9)
Al2^i—Gd1—Al3	134.00 (5)	Al7^iv—Al3—Al10^iv	73.09 (10)
Ni3^ii—Gd1—Al3	95.17 (5)	Al7^xviii—Al3—Al10^iv	73.09 (10)
Ni3—Gd1—Al3	44.73 (5)	Ni3—Al3—Gd2^vi	78.72 (8)
Ni2^iii—Gd1—Al3	139.68 (6)	Ni1^v—Al3—Gd2^vi	65.01 (7)
Ni2^i—Gd1—Al3	88.00 (5)	Ni1—Al3—Gd2^vi	65.01 (7)
Al6^iv—Gd1—Al3	100.19 (7)	Al1—Al3—Gd2^vi	59.97 (7)
Al3^ii—Gd1—Al3	77.82 (7)	Al1^v—Al3—Gd2^vi	59.97 (7)
Ni4—Gd1—Al7^iv	175.77 (6)	Al7^iv—Al3—Gd2^vi	117.16 (10)
Al2—Gd1—Al7^iv	123.40 (7)	Al7^xviii—Al3—Gd2^vi	117.16 (10)
Al2^i—Gd1—Al7^iv	115.15 (9)	Al10^iv—Al3—Gd2^vi	64.83 (8)
Ni3^ii—Gd1—Al7^iv	95.33 (5)	Ni3—Al3—Gd1^v	66.63 (6)
Ni3—Gd1—Al7^iv	95.33 (5)	Ni1^v—Al3—Gd1^v	87.68 (4)
Ni2^iii—Gd1—Al7^iv	89.35 (5)	Ni1—Al3—Gd1^v	165.39 (9)
Ni2^i—Gd1—Al7^iv	89.35 (5)	Al1—Al3—Gd1^v	119.13 (10)
Al6^iv—Gd1—Al7^iv	65.07 (8)	Al1^v—Al3—Gd1^v	65.60 (6)
Al3^ii—Gd1—Al7^iv	52.22 (6)	Al7^iv—Al3—Gd1^v	117.42 (12)
Al3—Gd1—Al7^iv	52.22 (6)	Al7^xviii—Al3—Gd1^v	64.43 (7)
Ni4—Gd1—Al1	109.47 (5)	Al10^iv—Al3—Gd1^v	135.79 (6)
Al2—Gd1—Al1	48.65 (7)	Gd2^vi—Al3—Gd1^v	125.37 (6)
Al2^i—Gd1—Al1	170.10 (7)	Ni3—Al3—Gd1	66.62 (6)
Ni3^ii—Gd1—Al1	44.47 (3)	Ni1^v—Al3—Gd1	165.39 (9)
Ni3—Gd1—Al1	44.47 (3)	Ni1—Al3—Gd1	87.68 (4)
Ni2^iii—Gd1—Al1	137.95 (2)	Al1—Al3—Gd1	65.60 (6)
Ni2^i—Gd1—Al1	137.95 (2)	Al1^v—Al3—Gd1	119.12 (10)
Al6^iv—Gd1—Al1	139.82 (8)	Al7^iv—Al3—Gd1	64.43 (7)
Al3^ii—Gd1—Al1	51.39 (5)	Al7^xviii—Al3—Gd1	117.42 (12)
Al3—Gd1—Al1	51.39 (5)	Al10^iv—Al3—Gd1	135.79 (6)
Al7^iv—Gd1—Al1	74.75 (8)	Gd2^vi—Al3—Gd1	125.37 (6)
Al5^v—Gd2—Al5	87.27 (10)	Gd1^v—Al3—Gd1	77.82 (7)
Al5^v—Gd2—Al1^vi	147.65 (5)	Ni2—Al4—Ni3	66.57 (8)
Al5—Gd2—Al1^vi	84.92 (6)	Ni2—Al4—Ni4	120.46 (7)
Al5^v—Gd2—Al1^vii	84.92 (6)	Ni3—Al4—Ni4	120.36 (7)
Al5—Gd2—Al1^vii	147.65 (5)	Ni2—Al4—Ni4^v	120.46 (7)
Al1^vi—Gd2—Al1^vii	117.00 (10)	Ni3—Al4—Ni4^v	120.36 (7)
Al5^v—Gd2—Al1^viii	147.65 (5)	Ni4—Al4—Ni4^v	105.46 (11)
Al5—Gd2—Al1^viii	84.92 (6)	Ni2—Al4—Al2	58.39 (8)
Al1^vi—Gd2—Al1^viii	62.58 (9)	Ni3—Al4—Al2	58.39 (7)
Al1^vii—Gd2—Al1^viii	85.10 (8)	Ni4—Al4—Al2	76.10 (5)
Al5^v—Gd2—Al1^ix	84.92 (6)	Ni4^v—Al4—Al2	178.44 (12)
Al5—Gd2—Al1^ix	147.65 (5)	Ni2—Al4—Al2^v	58.39 (8)
Al1^vi—Gd2—Al1^ix	85.10 (8)	Ni3—Al4—Al2^v	58.39 (7)
Al1^vii—Gd2—Al1^ix	62.58 (9)	Ni4—Al4—Al2^v	178.44 (12)
Al1^viii—Gd2—Al1^ix	117.00 (10)	Ni4^v—Al4—Al2^v	76.10 (5)
Al5^v—Gd2—Ni1^vi	105.14 (4)	Al2—Al4—Al2^v	102.34 (14)
Al5—Gd2—Ni1^vi	49.91 (3)	Ni2—Al4—Al4^xiv	116.84 (17)
Al1^vi—Gd2—Ni1^vi	47.74 (5)	Ni3—Al4—Al4^xiv	176.58 (18)
Al1^vii—Gd2—Ni1^vi	161.61 (5)	Ni4—Al4—Al4^xiv	58.37 (4)
Al1^viii—Gd2—Ni1^vi	93.54 (4)	Ni4^v—Al4—Al4^xiv	58.37 (4)
Al1^ix—Gd2—Ni1^vi	102.39 (5)	Al2—Al4—Al4^xiv	122.94 (10)
Al5^v—Gd2—Ni1^ix	49.91 (3)	Al2^v—Al4—Al4^xiv	122.94 (10)
Al5—Gd2—Ni1^ix	105.14 (4)	Ni2—Al4—Al4^i	176.84 (17)
Al1^vi—Gd2—Ni1^ix	102.39 (5)	Ni3—Al4—Al4^i	116.58 (18)
Al1^vii—Gd2—Ni1^ix	93.54 (4)	Ni4—Al4—Al4^i	58.37 (4)
Al1^viii—Gd2—Ni1^ix	161.61 (5)	Ni4^v—Al4—Al4^i	58.37 (4)
Al1^ix—Gd2—Ni1^ix	47.74 (5)	Al2—Al4—Al4^i	122.84 (11)
Ni1^vi—Gd2—Ni1^ix	81.97 (3)	Al2^v—Al4—Al4^i	122.84 (11)
Al5^v—Gd2—Ni1^vii	49.91 (3)	Al4^xiv—Al4—Al4^i	60.0
Al5—Gd2—Ni1^vii	105.14 (4)	Ni2—Al4—Gd1	115.53 (8)
Al1^vi—Gd2—Ni1^vii	161.61 (5)	Ni3—Al4—Gd1	63.42 (6)
Al1^vii—Gd2—Ni1^vii	47.74 (5)	Ni4—Al4—Gd1	61.82 (4)
Al1^viii—Gd2—Ni1^vii	102.39 (5)	Ni4^v—Al4—Gd1	118.82 (10)
Al1^ix—Gd2—Ni1^vii	93.55 (4)	Al2—Al4—Gd1	61.75 (7)
Ni1^vi—Gd2—Ni1^vii	149.32 (5)	Al2^v—Al4—Gd1	117.44 (11)
Ni1^ix—Gd2—Ni1^vii	89.98 (3)	Al4^xiv—Al4—Gd1	114.02 (9)
Al5^v—Gd2—Ni1^viii	105.14 (4)	Al4^i—Al4—Gd1	66.85 (10)
Al5—Gd2—Ni1^viii	49.91 (3)	Ni2—Al4—Gd1^v	115.53 (8)
Al1^vi—Gd2—Ni1^viii	93.55 (4)	Ni3—Al4—Gd1^v	63.42 (6)
Al1^vii—Gd2—Ni1^viii	102.39 (5)	Ni4—Al4—Gd1^v	118.82 (10)
Al1^viii—Gd2—Ni1^viii	47.74 (5)	Ni4^v—Al4—Gd1^v	61.82 (4)
Al1^ix—Gd2—Ni1^viii	161.61 (5)	Al2—Al4—Gd1^v	117.44 (11)
Ni1^vi—Gd2—Ni1^viii	89.98 (3)	Al2^v—Al4—Gd1^v	61.75 (7)
Ni1^ix—Gd2—Ni1^viii	149.32 (5)	Al4^xiv—Al4—Gd1^v	114.02 (9)
Ni1^vii—Gd2—Ni1^viii	81.97 (3)	Al4^i—Al4—Gd1^v	66.85 (10)
Al5^v—Gd2—Al8	136.37 (5)	Gd1—Al4—Gd1^v	73.68 (6)
Al5—Gd2—Al8	136.37 (5)	Ni2—Al4—Gd1^xiii	63.77 (6)
Al1^vi—Gd2—Al8	58.50 (5)	Ni3—Al4—Gd1^xiii	115.93 (8)
Al1^vii—Gd2—Al8	58.50 (5)	Ni4—Al4—Gd1^xiii	61.73 (4)
Al1^viii—Gd2—Al8	58.50 (5)	Ni4^v—Al4—Gd1^xiii	118.63 (10)
Al1^ix—Gd2—Al8	58.50 (5)	Al2—Al4—Gd1^xiii	62.09 (7)
Ni1^vi—Gd2—Al8	105.34 (2)	Al2^v—Al4—Gd1^xiii	117.69 (12)
Ni1^ix—Gd2—Al8	105.34 (2)	Al4^xiv—Al4—Gd1^xiii	66.64 (10)
Ni1^vii—Gd2—Al8	105.34 (2)	Al4^i—Al4—Gd1^xiii	113.86 (9)
Ni1^viii—Gd2—Al8	105.34 (2)	Gd1—Al4—Gd1^xiii	106.381 (19)
Al5^v—Gd2—Al3^vi	94.78 (4)	Gd1^v—Al4—Gd1^xiii	179.27 (10)
Al5—Gd2—Al3^vi	94.78 (4)	Ni2—Al4—Gd1^xiv	63.77 (6)
Al1^vi—Gd2—Al3^vi	54.82 (5)	Ni3—Al4—Gd1^xiv	115.93 (8)
Al1^vii—Gd2—Al3^vi	117.11 (6)	Ni4—Al4—Gd1^xiv	118.63 (10)
Al1^viii—Gd2—Al3^vi	117.11 (6)	Ni4^v—Al4—Gd1^xiv	61.73 (4)
Al1^ix—Gd2—Al3^vi	54.82 (5)	Al2—Al4—Gd1^xiv	117.69 (12)
Ni1^vi—Gd2—Al3^vi	47.79 (3)	Al2^v—Al4—Gd1^xiv	62.09 (7)
Ni1^ix—Gd2—Al3^vi	47.79 (3)	Al4^xiv—Al4—Gd1^xiv	66.64 (10)
Ni1^vii—Gd2—Al3^vi	137.12 (2)	Al4^i—Al4—Gd1^xiv	113.86 (9)
Ni1^viii—Gd2—Al3^vi	137.12 (2)	Gd1—Al4—Gd1^xiv	179.27 (10)
Al8—Gd2—Al3^vi	83.38 (5)	Gd1^v—Al4—Gd1^xiv	106.382 (19)
Al7^iv—Ni1—Al1	109.26 (10)	Gd1^xiii—Al4—Gd1^xiv	73.55 (6)
Al7^iv—Ni1—Al3	70.53 (8)	Ni5—Al5—Ni5^ii	105.83 (14)
Al1—Ni1—Al3	69.08 (7)	Ni5—Al5—Ni1^viii	108.049 (19)
Al7^iv—Ni1—Al3^ii	70.53 (8)	Ni5^ii—Al5—Ni1^viii	108.049 (19)
Al1—Ni1—Al3^ii	69.08 (7)	Ni5—Al5—Ni1^vi	108.050 (19)
Al3—Ni1—Al3^ii	106.75 (12)	Ni5^ii—Al5—Ni1^vi	108.050 (19)
Al7^iv—Ni1—Al5^vi	144.59 (10)	Ni1^viii—Al5—Ni1^vi	118.16 (16)
Al1—Ni1—Al5^vi	106.15 (11)	Ni5—Al5—Al5^xii	58.52 (6)
Al3—Ni1—Al5^vi	123.94 (6)	Ni5^ii—Al5—Al5^xii	58.52 (6)
Al3^ii—Ni1—Al5^vi	123.94 (6)	Ni1^viii—Al5—Al5^xii	90.92 (8)
Al7^iv—Ni1—Al10^iv	86.93 (8)	Ni1^vi—Al5—Al5^xii	150.92 (8)
Al1—Ni1—Al10^iv	126.43 (3)	Ni5—Al5—Al5^vi	58.52 (6)
Al3—Ni1—Al10^iv	69.50 (8)	Ni5^ii—Al5—Al5^vi	58.52 (6)
Al3^ii—Ni1—Al10^iv	156.70 (10)	Ni1^viii—Al5—Al5^vi	150.92 (8)
Al5^vi—Ni1—Al10^iv	71.94 (9)	Ni1^vi—Al5—Al5^vi	90.92 (8)
Al7^iv—Ni1—Al10^x	86.93 (8)	Al5^xii—Al5—Al5^vi	60.0
Al1—Ni1—Al10^x	126.43 (3)	Ni5—Al5—Gd2	83.45 (3)
Al3—Ni1—Al10^x	156.70 (10)	Ni5^ii—Al5—Gd2	170.72 (12)
Al3^ii—Ni1—Al10^x	69.50 (8)	Ni1^viii—Al5—Gd2	68.17 (7)
Al5^vi—Ni1—Al10^x	71.94 (9)	Ni1^vi—Al5—Gd2	68.17 (7)
Al10^iv—Ni1—Al10^x	104.44 (8)	Al5^xii—Al5—Gd2	128.81 (4)
Al7^iv—Ni1—Ni1^vi	55.50 (6)	Al5^vi—Al5—Gd2	128.81 (4)
Al1—Ni1—Ni1^vi	164.77 (7)	Ni5—Al5—Gd2^ii	170.72 (12)
Al3—Ni1—Ni1^vi	102.65 (7)	Ni5^ii—Al5—Gd2^ii	83.45 (3)
Al3^ii—Ni1—Ni1^vi	102.65 (7)	Ni1^viii—Al5—Gd2^ii	68.17 (7)
Al5^vi—Ni1—Ni1^vi	89.08 (8)	Ni1^vi—Al5—Gd2^ii	68.17 (7)
Al10^iv—Ni1—Ni1^vi	57.77 (3)	Al5^xii—Al5—Gd2^ii	128.81 (4)
Al10^x—Ni1—Ni1^vi	57.77 (3)	Al5^vi—Al5—Gd2^ii	128.81 (4)
Al7^iv—Ni1—Gd2^vi	136.52 (3)	Gd2—Al5—Gd2^ii	87.27 (10)
Al1—Ni1—Gd2^vi	64.15 (5)	Ni5—Al5—Al10^xv	53.75 (6)
Al3—Ni1—Gd2^vi	67.19 (6)	Ni5^ii—Al5—Al10^xv	119.07 (9)
Al3^ii—Ni1—Gd2^vi	131.70 (8)	Ni1^viii—Al5—Al10^xv	54.30 (6)
Al5^vi—Ni1—Gd2^vi	61.92 (6)	Ni1^vi—Al5—Al10^xv	132.32 (8)
Al10^iv—Ni1—Gd2^vi	69.37 (4)	Al5^xii—Al5—Al10^xv	63.77 (7)
Al10^x—Ni1—Gd2^vi	133.19 (9)	Al5^vi—Al5—Al10^xv	106.89 (9)
Ni1^vi—Ni1—Gd2^vi	125.63 (2)	Gd2—Al5—Al10^xv	66.26 (3)
Al7^iv—Ni1—Gd2^xi	136.52 (3)	Gd2^ii—Al5—Al10^xv	121.95 (10)
Al1—Ni1—Gd2^xi	64.15 (5)	Ni5—Al5—Al10^x	119.07 (9)
Al3—Ni1—Gd2^xi	131.69 (8)	Ni5^ii—Al5—Al10^x	53.75 (6)
Al3^ii—Ni1—Gd2^xi	67.20 (6)	Ni1^viii—Al5—Al10^x	132.33 (8)
Al5^vi—Ni1—Gd2^xi	61.92 (6)	Ni1^vi—Al5—Al10^x	54.31 (6)
Al10^iv—Ni1—Gd2^xi	133.19 (9)	Al5^xii—Al5—Al10^x	106.89 (9)
Al10^x—Ni1—Gd2^xi	69.37 (4)	Al5^vi—Al5—Al10^x	63.77 (7)
Ni1^vi—Ni1—Gd2^xi	125.63 (2)	Gd2—Al5—Al10^x	121.95 (10)
Gd2^vi—Ni1—Gd2^xi	81.97 (3)	Gd2^ii—Al5—Al10^x	66.26 (3)
Al6^ix—Ni2—Al6^vi	111.50 (6)	Al10^xv—Al5—Al10^x	169.97 (16)
Al6^ix—Ni2—Al8^vi	80.34 (9)	Ni5—Al5—Al10^xix	119.07 (9)
Al6^vi—Ni2—Al8^vi	80.34 (9)	Ni5^ii—Al5—Al10^xix	53.75 (6)
Al6^ix—Ni2—Al2	160.72 (11)	Ni1^viii—Al5—Al10^xix	54.30 (6)
Al6^vi—Ni2—Al2	66.07 (7)	Ni1^vi—Al5—Al10^xix	132.32 (8)
Al8^vi—Ni2—Al2	80.41 (7)	Al5^xii—Al5—Al10^xix	63.77 (7)
Al6^ix—Ni2—Al2^v	66.07 (7)	Al5^vi—Al5—Al10^xix	106.89 (9)
Al6^vi—Ni2—Al2^v	160.72 (11)	Gd2—Al5—Al10^xix	121.95 (10)
Al8^vi—Ni2—Al2^v	80.41 (7)	Gd2^ii—Al5—Al10^xix	66.26 (3)
Al2—Ni2—Al2^v	109.44 (11)	Al10^xv—Al5—Al10^xix	84.93 (8)
Al6^ix—Ni2—Al4	124.13 (3)	Al10^x—Al5—Al10^xix	94.19 (9)
Al6^vi—Ni2—Al4	124.13 (3)	Ni5—Al5—Al10^iv	53.75 (6)
Al8^vi—Ni2—Al4	111.88 (10)	Ni5^ii—Al5—Al10^iv	119.07 (9)
Al2—Ni2—Al4	63.18 (7)	Ni1^viii—Al5—Al10^iv	132.33 (8)
Al2^v—Ni2—Al4	63.19 (7)	Ni1^vi—Al5—Al10^iv	54.31 (6)
Al6^ix—Ni2—Al9^vi	65.46 (9)	Al5^xii—Al5—Al10^iv	106.89 (9)
Al6^vi—Ni2—Al9^vi	65.46 (9)	Al5^vi—Al5—Al10^iv	63.77 (7)
Al8^vi—Ni2—Al9^vi	115.11 (9)	Gd2—Al5—Al10^iv	66.26 (3)
Al2—Ni2—Al9^vi	124.85 (6)	Gd2^ii—Al5—Al10^iv	121.95 (10)
Al2^v—Ni2—Al9^vi	124.85 (6)	Al10^xv—Al5—Al10^iv	94.19 (9)
Al4—Ni2—Al9^vi	133.02 (10)	Al10^x—Al5—Al10^iv	84.93 (8)
Al6^ix—Ni2—Ni2^xii	57.10 (2)	Al10^xix—Al5—Al10^iv	169.97 (16)
Al6^vi—Ni2—Ni2^xii	57.10 (2)	Ni2^vii—Al6—Ni2^xi	163.05 (19)
Al8^vi—Ni2—Ni2^xii	57.49 (6)	Ni2^vii—Al6—Ni2^vi	65.80 (5)
Al2—Ni2—Ni2^xii	112.14 (6)	Ni2^xi—Al6—Ni2^vi	111.50 (6)
Al2^v—Ni2—Ni2^xii	112.13 (6)	Ni2^vii—Al6—Ni2^viii	111.50 (6)
Al4—Ni2—Ni2^xii	169.36 (7)	Ni2^xi—Al6—Ni2^viii	65.80 (5)
Al9^vi—Ni2—Ni2^xii	57.62 (7)	Ni2^vi—Al6—Ni2^viii	163.05 (19)
Al6^ix—Ni2—Ni3	110.05 (9)	Ni2^vii—Al6—Al9	57.90 (8)
Al6^vi—Ni2—Ni3	110.05 (9)	Ni2^xi—Al6—Al9	136.32 (13)
Al8^vi—Ni2—Ni3	54.87 (6)	Ni2^vi—Al6—Al9	57.90 (8)
Al2—Ni2—Ni3	56.76 (6)	Ni2^viii—Al6—Al9	136.32 (13)
Al2^v—Ni2—Ni3	56.76 (6)	Ni2^vii—Al6—Al9^ii	136.32 (13)
Al4—Ni2—Ni3	57.00 (8)	Ni2^xi—Al6—Al9^ii	57.90 (8)
Al9^vi—Ni2—Ni3	169.98 (8)	Ni2^vi—Al6—Al9^ii	136.32 (13)
Ni2^xii—Ni2—Ni3	112.36 (3)	Ni2^viii—Al6—Al9^ii	57.90 (8)
Al6^ix—Ni2—Gd1^xiii	131.80 (10)	Al9—Al6—Al9^ii	98.7 (2)
Al6^vi—Ni2—Gd1^xiii	67.50 (6)	Ni2^vii—Al6—Al2^viii	57.51 (5)
Al8^vi—Ni2—Gd1^xiii	140.573 (16)	Ni2^xi—Al6—Al2^viii	112.24 (9)
Al2—Ni2—Gd1^xiii	66.29 (6)	Ni2^vi—Al6—Al2^viii	112.24 (9)
Al2^v—Ni2—Gd1^xiii	129.35 (7)	Ni2^viii—Al6—Al2^viii	57.51 (5)
Al4—Ni2—Gd1^xiii	71.99 (5)	Al9—Al6—Al2^viii	110.52 (5)
Al9^vi—Ni2—Gd1^xiii	72.13 (6)	Al9^ii—Al6—Al2^viii	110.52 (5)
Ni2^xii—Ni2—Gd1^xiii	115.76 (2)	Ni2^vii—Al6—Al2^vi	112.24 (9)
Ni3—Ni2—Gd1^xiii	115.19 (3)	Ni2^xi—Al6—Al2^vi	57.51 (5)
Al6^ix—Ni2—Gd1^xiv	67.50 (6)	Ni2^vi—Al6—Al2^vi	57.51 (5)
Al6^vi—Ni2—Gd1^xiv	131.80 (10)	Ni2^viii—Al6—Al2^vi	112.24 (9)
Al8^vi—Ni2—Gd1^xiv	140.573 (16)	Al9—Al6—Al2^vi	110.52 (5)
Al2—Ni2—Gd1^xiv	129.35 (7)	Al9^ii—Al6—Al2^vi	110.52 (5)
Al2^v—Ni2—Gd1^xiv	66.29 (6)	Al2^viii—Al6—Al2^vi	114.87 (17)
Al4—Ni2—Gd1^xiv	71.99 (5)	Ni2^vii—Al6—Gd1^xx	122.66 (6)
Al9^vi—Ni2—Gd1^xiv	72.13 (6)	Ni2^xi—Al6—Gd1^xx	67.37 (4)
Ni2^xii—Ni2—Gd1^xiv	115.76 (2)	Ni2^vi—Al6—Gd1^xx	67.37 (4)
Ni3—Ni2—Gd1^xiv	115.19 (3)	Ni2^viii—Al6—Gd1^xx	122.66 (6)
Gd1^xiii—Ni2—Gd1^xiv	78.79 (3)	Al9—Al6—Gd1^xx	69.99 (7)
Al8^vi—Ni3—Al3	118.40 (14)	Al9^ii—Al6—Gd1^xx	69.99 (7)
Al8^vi—Ni3—Al1^v	75.87 (9)	Al2^viii—Al6—Gd1^xx	179.13 (14)
Al3—Ni3—Al1^v	70.68 (7)	Al2^vi—Al6—Gd1^xx	64.26 (5)
Al8^vi—Ni3—Al1	75.87 (9)	Ni2^vii—Al6—Gd1^xxi	67.37 (4)
Al3—Ni3—Al1	70.68 (7)	Ni2^xi—Al6—Gd1^xxi	122.66 (6)
Al1^v—Ni3—Al1	111.38 (12)	Ni2^vi—Al6—Gd1^xxi	122.66 (6)
Al8^vi—Ni3—Al2^v	81.54 (9)	Ni2^viii—Al6—Gd1^xxi	67.37 (4)
Al3—Ni3—Al2^v	124.36 (6)	Al9—Al6—Gd1^xxi	69.99 (7)
Al1^v—Ni3—Al2^v	64.99 (8)	Al9^ii—Al6—Gd1^xxi	69.99 (7)
Al1—Ni3—Al2^v	157.21 (10)	Al2^viii—Al6—Gd1^xxi	64.26 (5)
Al8^vi—Ni3—Al2	81.54 (9)	Al2^vi—Al6—Gd1^xxi	179.13 (14)
Al3—Ni3—Al2	124.36 (6)	Gd1^xx—Al6—Gd1^xxi	116.61 (12)
Al1^v—Ni3—Al2	157.21 (10)	Ni1^xxi—Al7—Ni1^xx	68.99 (13)
Al1—Ni3—Al2	64.99 (8)	Ni1^xxi—Al7—Al9^ii	122.37 (7)
Al2^v—Ni3—Al2	108.97 (11)	Ni1^xx—Al7—Al9^ii	122.37 (7)
Al8^vi—Ni3—Al4	113.56 (15)	Ni1^xxi—Al7—Al9	122.37 (7)
Al3—Ni3—Al4	128.04 (11)	Ni1^xx—Al7—Al9	122.37 (7)
Al1^v—Ni3—Al4	124.28 (6)	Al9^ii—Al7—Al9	99.0 (2)
Al1—Ni3—Al4	124.28 (6)	Ni1^xxi—Al7—Al3^xxii	102.19 (13)
Al2^v—Ni3—Al4	62.85 (7)	Ni1^xx—Al7—Al3^xxii	56.55 (7)
Al2—Ni3—Al4	62.85 (7)	Al9^ii—Al7—Al3^xxii	66.05 (8)
Al8^vi—Ni3—Ni2	57.14 (11)	Al9—Al7—Al3^xxii	132.38 (11)
Al3—Ni3—Ni2	175.54 (9)	Ni1^xxi—Al7—Al3^xxi	56.55 (7)
Al1^v—Ni3—Ni2	107.11 (7)	Ni1^xx—Al7—Al3^xxi	102.19 (13)
Al1—Ni3—Ni2	107.12 (7)	Al9^ii—Al7—Al3^xxi	132.38 (11)
Al2^v—Ni3—Ni2	56.50 (6)	Al9—Al7—Al3^xxi	66.05 (8)
Al2—Ni3—Ni2	56.50 (6)	Al3^xxii—Al7—Al3^xxi	156.2 (2)
Al4—Ni3—Ni2	56.42 (8)	Ni1^xxi—Al7—Al3^xxiii	56.55 (7)
Al8^vi—Ni3—Gd1	140.408 (16)	Ni1^xx—Al7—Al3^xxiii	102.19 (13)
Al3—Ni3—Gd1	68.65 (5)	Al9^ii—Al7—Al3^xxiii	66.05 (8)
Al1^v—Ni3—Gd1	135.72 (7)	Al9—Al7—Al3^xxiii	132.38 (10)
Al1—Ni3—Gd1	70.31 (6)	Al3^xxii—Al7—Al3^xxiii	84.60 (9)
Al2^v—Ni3—Gd1	129.09 (7)	Al3^xxi—Al7—Al3^xxiii	90.51 (9)
Al2—Ni3—Gd1	65.99 (6)	Ni1^xxi—Al7—Al3^xx	102.19 (13)
Al4—Ni3—Gd1	71.91 (6)	Ni1^xx—Al7—Al3^xx	56.55 (7)
Ni2—Ni3—Gd1	114.57 (3)	Al9^ii—Al7—Al3^xx	132.38 (11)
Al8^vi—Ni3—Gd1^v	140.408 (16)	Al9—Al7—Al3^xx	66.05 (8)
Al3—Ni3—Gd1^v	68.65 (5)	Al3^xxii—Al7—Al3^xx	90.51 (9)
Al1^v—Ni3—Gd1^v	70.31 (6)	Al3^xxi—Al7—Al3^xx	84.60 (9)
Al1—Ni3—Gd1^v	135.72 (7)	Al3^xxiii—Al7—Al3^xx	156.2 (2)
Al2^v—Ni3—Gd1^v	65.99 (6)	Ni1^xxi—Al7—Gd1^xxi	88.88 (3)
Al2—Ni3—Gd1^v	129.09 (8)	Ni1^xx—Al7—Gd1^xxi	157.87 (12)
Al4—Ni3—Gd1^v	71.91 (6)	Al9^ii—Al7—Gd1^xxi	69.06 (8)
Ni2—Ni3—Gd1^v	114.57 (3)	Al9—Al7—Gd1^xxi	69.06 (8)
Gd1—Ni3—Gd1^v	79.18 (3)	Al3^xxii—Al7—Gd1^xxi	132.50 (7)
Al4^xiii—Ni4—Al4^xiv	105.46 (11)	Al3^xxi—Al7—Gd1^xxi	63.35 (6)
Al4^xiii—Ni4—Al4	144.75 (4)	Al3^xxiii—Al7—Gd1^xxi	63.35 (6)
Al4^xiv—Ni4—Al4	63.26 (9)	Al3^xx—Al7—Gd1^xxi	132.50 (7)
Al4^xiii—Ni4—Al4^ii	63.26 (9)	Ni1^xxi—Al7—Gd1^xx	157.87 (12)
Al4^xiv—Ni4—Al4^ii	144.75 (4)	Ni1^xx—Al7—Gd1^xx	88.88 (3)
Al4—Ni4—Al4^ii	105.46 (11)	Al9^ii—Al7—Gd1^xx	69.06 (8)
Al4^xiii—Ni4—Al4^iii	63.26 (9)	Al9—Al7—Gd1^xx	69.06 (8)
Al4^xiv—Ni4—Al4^iii	144.75 (4)	Al3^xxii—Al7—Gd1^xx	63.35 (6)
Al4—Ni4—Al4^iii	144.75 (4)	Al3^xxi—Al7—Gd1^xx	132.50 (7)
Al4^ii—Ni4—Al4^iii	63.26 (9)	Al3^xxiii—Al7—Gd1^xx	132.50 (7)
Al4^xiii—Ni4—Al4^i	144.75 (4)	Al3^xx—Al7—Gd1^xx	63.35 (6)
Al4^xiv—Ni4—Al4^i	63.26 (9)	Gd1^xxi—Al7—Gd1^xx	113.25 (12)
Al4—Ni4—Al4^i	63.26 (9)	Ni3^vii—Al8—Ni3^vi	159.0 (2)
Al4^ii—Ni4—Al4^i	144.75 (4)	Ni3^vii—Al8—Ni2^vi	133.02 (16)
Al4^iii—Ni4—Al4^i	105.46 (11)	Ni3^vi—Al8—Ni2^vi	67.99 (6)
Al4^xiii—Ni4—Gd1^xiii	72.31 (6)	Ni3^vii—Al8—Ni2^vii	67.99 (6)
Al4^xiv—Ni4—Gd1^xiii	72.31 (6)	Ni3^vi—Al8—Ni2^vii	133.02 (16)
Al4—Ni4—Gd1^xiii	72.44 (6)	Ni2^vi—Al8—Ni2^vii	65.02 (12)
Al4^ii—Ni4—Gd1^xiii	72.45 (6)	Ni3^vii—Al8—Al1^vii	52.68 (6)
Al4^iii—Ni4—Gd1^xiii	127.27 (5)	Ni3^vi—Al8—Al1^vii	114.62 (12)
Al4^i—Ni4—Gd1^xiii	127.27 (5)	Ni2^vi—Al8—Al1^vii	135.91 (8)
Al4^xiii—Ni4—Gd1^i	72.44 (6)	Ni2^vii—Al8—Al1^vii	99.15 (6)
Al4^xiv—Ni4—Gd1^i	72.44 (6)	Ni3^vii—Al8—Al1^vi	114.62 (12)
Al4—Ni4—Gd1^i	127.27 (5)	Ni3^vi—Al8—Al1^vi	52.68 (6)
Al4^ii—Ni4—Gd1^i	127.27 (5)	Ni2^vi—Al8—Al1^vi	99.15 (6)
Al4^iii—Ni4—Gd1^i	72.31 (6)	Ni2^vii—Al8—Al1^vi	135.91 (8)
Al4^i—Ni4—Gd1^i	72.31 (6)	Al1^vii—Al8—Al1^vi	117.31 (18)
Gd1^xiii—Ni4—Gd1^i	120.002 (1)	Ni3^vii—Al8—Al1^ix	114.62 (12)
Al4^xiii—Ni4—Gd1	127.27 (5)	Ni3^vi—Al8—Al1^ix	52.68 (6)
Al4^xiv—Ni4—Gd1	127.27 (5)	Ni2^vi—Al8—Al1^ix	99.15 (6)
Al4—Ni4—Gd1	72.31 (6)	Ni2^vii—Al8—Al1^ix	135.91 (8)
Al4^ii—Ni4—Gd1	72.30 (6)	Al1^vii—Al8—Al1^ix	62.69 (11)
Al4^iii—Ni4—Gd1	72.44 (6)	Al1^vi—Al8—Al1^ix	85.28 (11)
Al4^i—Ni4—Gd1	72.44 (6)	Ni3^vii—Al8—Al1^viii	52.68 (6)
Gd1^xiii—Ni4—Gd1	120.0	Ni3^vi—Al8—Al1^viii	114.62 (12)
Gd1^i—Ni4—Gd1	120.0	Ni2^vi—Al8—Al1^viii	135.91 (8)
Al10^iv—Ni5—Al10^xv	120.0	Ni2^vii—Al8—Al1^viii	99.15 (6)
Al10^iv—Ni5—Al10^xvi	120.0	Al1^vii—Al8—Al1^viii	85.28 (11)
Al10^xv—Ni5—Al10^xvi	120.0	Al1^vi—Al8—Al1^viii	62.69 (11)
Al10^iv—Ni5—Al5	72.45 (3)	Al1^ix—Al8—Al1^viii	117.31 (18)
Al10^xv—Ni5—Al5	72.45 (3)	Ni3^vii—Al8—Gd2	79.50 (11)
Al10^xvi—Ni5—Al5	127.09 (7)	Ni3^vi—Al8—Gd2	79.50 (11)
Al10^iv—Ni5—Al5^xvii	127.09 (7)	Ni2^vi—Al8—Gd2	147.49 (6)
Al10^xv—Ni5—Al5^xvii	72.45 (3)	Ni2^vii—Al8—Gd2	147.49 (6)
Al10^xvi—Ni5—Al5^xvii	72.45 (3)	Al1^vii—Al8—Gd2	58.66 (9)
Al5—Ni5—Al5^xvii	144.90 (6)	Al1^vi—Al8—Gd2	58.66 (9)
Al10^iv—Ni5—Al5^vi	72.45 (3)	Al1^ix—Al8—Gd2	58.66 (9)
Al10^xv—Ni5—Al5^vi	127.09 (7)	Al1^viii—Al8—Gd2	58.66 (9)
Al10^xvi—Ni5—Al5^vi	72.45 (3)	Ni2^vii—Al9—Ni2^vi	64.76 (14)
Al5—Ni5—Al5^vi	62.97 (11)	Ni2^vii—Al9—Al7^v	123.27 (7)
Al5^xvii—Ni5—Al5^vi	144.90 (6)	Ni2^vi—Al9—Al7^v	123.27 (7)
Al10^iv—Ni5—Al5^v	72.45 (3)	Ni2^vii—Al9—Al7	123.27 (7)
Al10^xv—Ni5—Al5^v	72.45 (3)	Ni2^vi—Al9—Al7	123.27 (7)
Al10^xvi—Ni5—Al5^v	127.09 (7)	Al7^v—Al9—Al7	99.0 (2)
Al5—Ni5—Al5^v	105.83 (14)	Ni2^vii—Al9—Al6	56.64 (11)
Al5^xvii—Ni5—Al5^v	62.97 (11)	Ni2^vi—Al9—Al6	56.64 (11)
Al5^vi—Ni5—Al5^v	144.90 (6)	Al7^v—Al9—Al6	179.9 (2)
Al10^iv—Ni5—Al5^ix	72.45 (3)	Al7—Al9—Al6	81.15 (9)
Al10^xv—Ni5—Al5^ix	127.09 (7)	Ni2^vii—Al9—Al6^v	56.64 (11)
Al10^xvi—Ni5—Al5^ix	72.45 (3)	Ni2^vi—Al9—Al6^v	56.64 (11)
Al5—Ni5—Al5^ix	144.90 (6)	Al7^v—Al9—Al6^v	81.14 (9)
Al5^xvii—Ni5—Al5^ix	62.97 (11)	Al7—Al9—Al6^v	179.9 (2)
Al5^vi—Ni5—Al5^ix	105.82 (14)	Al6—Al9—Al6^v	98.7 (2)
Al5^v—Ni5—Al5^ix	62.97 (11)	Ni2^vii—Al9—Gd1^xxiv	63.63 (4)
Al10^iv—Ni5—Al5^xii	127.09 (7)	Ni2^vi—Al9—Gd1^xxiv	114.49 (13)
Al10^xv—Ni5—Al5^xii	72.45 (3)	Al7^v—Al9—Gd1^xxiv	63.72 (4)
Al10^xvi—Ni5—Al5^xii	72.45 (3)	Al7—Al9—Gd1^xxiv	117.75 (11)
Al5—Ni5—Al5^xii	62.97 (11)	Al6—Al9—Gd1^xxiv	116.23 (11)
Al5^xvii—Ni5—Al5^xii	105.82 (14)	Al6^v—Al9—Gd1^xxiv	62.30 (4)
Al5^vi—Ni5—Al5^xii	62.97 (11)	Ni2^vii—Al9—Gd1^xx	114.49 (13)
Al5^v—Ni5—Al5^xii	144.90 (6)	Ni2^vi—Al9—Gd1^xx	63.63 (4)
Al5^ix—Ni5—Al5^xii	144.90 (6)	Al7^v—Al9—Gd1^xx	117.75 (11)
Ni3^ii—Al1—Ni3	111.38 (12)	Al7—Al9—Gd1^xx	63.72 (4)
Ni3^ii—Al1—Ni1	110.81 (7)	Al6—Al9—Gd1^xx	62.30 (4)
Ni3—Al1—Ni1	110.81 (7)	Al6^v—Al9—Gd1^xx	116.23 (11)
Ni3^ii—Al1—Al2	58.17 (6)	Gd1^xxiv—Al9—Gd1^xx	177.98 (18)
Ni3—Al1—Al2	58.17 (7)	Ni2^vii—Al9—Gd1^xxi	63.63 (4)
Ni1—Al1—Al2	149.71 (13)	Ni2^vi—Al9—Gd1^xxi	114.49 (13)
Ni3^ii—Al1—Al3	126.96 (11)	Al7^v—Al9—Gd1^xxi	117.75 (11)
Ni3—Al1—Al3	54.40 (6)	Al7—Al9—Gd1^xxi	63.72 (4)
Ni1—Al1—Al3	56.47 (7)	Al6—Al9—Gd1^xxi	62.30 (4)
Al2—Al1—Al3	105.17 (10)	Al6^v—Al9—Gd1^xxi	116.23 (11)
Ni3^ii—Al1—Al3^ii	54.40 (6)	Gd1^xxiv—Al9—Gd1^xxi	73.376 (19)
Ni3—Al1—Al3^ii	126.96 (11)	Gd1^xx—Al9—Gd1^xxi	106.59 (2)
Ni1—Al1—Al3^ii	56.47 (7)	Ni2^vii—Al9—Gd1^xxv	114.49 (13)
Al2—Al1—Al3^ii	105.17 (10)	Ni2^vi—Al9—Gd1^xxv	63.63 (4)
Al3—Al1—Al3^ii	91.49 (11)	Al7^v—Al9—Gd1^xxv	63.72 (4)
Ni3^ii—Al1—Al8^vi	119.73 (13)	Al7—Al9—Gd1^xxv	117.75 (11)
Ni3—Al1—Al8^vi	51.45 (5)	Al6—Al9—Gd1^xxv	116.23 (11)
Ni1—Al1—Al8^vi	129.46 (10)	Al6^v—Al9—Gd1^xxv	62.30 (4)
Al2—Al1—Al8^vi	68.78 (10)	Gd1^xxiv—Al9—Gd1^xxv	106.59 (2)
Al3—Al1—Al8^vi	91.37 (6)	Gd1^xx—Al9—Gd1^xxv	73.376 (19)
Al3^ii—Al1—Al8^vi	173.83 (13)	Gd1^xxi—Al9—Gd1^xxv	177.98 (18)
Ni3^ii—Al1—Al8^xi	51.45 (5)	Ni5^xxvi—Al10—Ni1^xx	107.55 (8)
Ni3—Al1—Al8^xi	119.73 (13)	Ni5^xxvi—Al10—Ni1^xxv	107.55 (8)
Ni1—Al1—Al8^xi	129.46 (10)	Ni1^xx—Al10—Ni1^xxv	104.44 (8)
Al2—Al1—Al8^xi	68.78 (10)	Ni5^xxvi—Al10—Ni1^xxiv	107.55 (8)
Al3—Al1—Al8^xi	173.83 (13)	Ni1^xx—Al10—Ni1^xxiv	144.91 (17)
Al3^ii—Al1—Al8^xi	91.37 (6)	Ni1^xxv—Al10—Ni1^xxiv	64.46 (6)
Al8^vi—Al1—Al8^xi	85.28 (11)	Ni5^xxvi—Al10—Ni1^xxi	107.55 (8)
Ni3^ii—Al1—Gd2^vi	165.71 (10)	Ni1^xx—Al10—Ni1^xxi	64.46 (6)
Ni3—Al1—Gd2^vi	81.48 (3)	Ni1^xxv—Al10—Ni1^xxi	144.91 (17)
Ni1—Al1—Gd2^vi	68.11 (7)	Ni1^xxiv—Al10—Ni1^xxi	104.44 (8)
Al2—Al1—Gd2^vi	129.97 (6)	Ni5^xxvi—Al10—Al3^xxi	138.55 (7)
Al3—Al1—Gd2^vi	65.21 (6)	Ni1^xx—Al10—Al3^xxi	97.30 (10)
Al3^ii—Al1—Gd2^vi	123.33 (11)	Ni1^xxv—Al10—Al3^xxi	97.30 (10)
Al8^vi—Al1—Gd2^vi	62.84 (8)	Ni1^xxiv—Al10—Al3^xxi	54.62 (6)
Al8^xi—Al1—Gd2^vi	117.37 (9)	Ni1^xxi—Al10—Al3^xxi	54.62 (6)
Ni3^ii—Al1—Gd2^xi	81.48 (3)	Ni5^xxvi—Al10—Al3^xx	138.55 (7)
Ni3—Al1—Gd2^xi	165.71 (10)	Ni1^xx—Al10—Al3^xx	54.62 (6)
Ni1—Al1—Gd2^xi	68.11 (7)	Ni1^xxv—Al10—Al3^xx	54.62 (6)
Al2—Al1—Gd2^xi	129.97 (6)	Ni1^xxiv—Al10—Al3^xx	97.30 (10)
Al3—Al1—Gd2^xi	123.33 (11)	Ni1^xxi—Al10—Al3^xx	97.30 (10)
Al3^ii—Al1—Gd2^xi	65.21 (6)	Al3^xxi—Al10—Al3^xx	82.90 (14)
Al8^vi—Al1—Gd2^xi	117.37 (9)	Ni5^xxvi—Al10—Al5^xxvii	53.80 (8)
Al8^xi—Al1—Gd2^xi	62.84 (8)	Ni1^xx—Al10—Al5^xxvii	53.75 (6)
Gd2^vi—Al1—Gd2^xi	85.10 (8)	Ni1^xxv—Al10—Al5^xxvii	118.42 (7)
Ni3^ii—Al1—Gd1	65.22 (6)	Ni1^xxiv—Al10—Al5^xxvii	161.33 (15)
Ni3—Al1—Gd1	65.22 (6)	Ni1^xxi—Al10—Al5^xxvii	83.12 (5)
Ni1—Al1—Gd1	87.10 (8)	Al3^xxi—Al10—Al5^xxvii	137.33 (3)
Al2—Al1—Gd1	62.60 (9)	Al3^xx—Al10—Al5^xxvii	98.63 (8)
Al3—Al1—Gd1	63.01 (7)	Ni5^xxvi—Al10—Al5^xxv	53.80 (8)
Al3^ii—Al1—Gd1	63.01 (7)	Ni1^xx—Al10—Al5^xxv	161.33 (15)
Al8^vi—Al1—Gd1	113.71 (8)	Ni1^xxv—Al10—Al5^xxv	83.12 (5)
Al8^xi—Al1—Gd1	113.71 (8)	Ni1^xxiv—Al10—Al5^xxv	53.76 (6)
Gd2^vi—Al1—Gd1	128.00 (5)	Ni1^xxi—Al10—Al5^xxv	118.42 (7)
Gd2^xi—Al1—Gd1	128.00 (5)	Al3^xxi—Al10—Al5^xxv	98.63 (8)
Ni2—Al2—Ni2^ii	109.44 (11)	Al3^xx—Al10—Al5^xxv	137.33 (3)
Ni2—Al2—Ni3	66.74 (4)	Al5^xxvii—Al10—Al5^xxv	107.60 (15)
Ni2^ii—Al2—Ni3	159.06 (12)	Ni5^xxvi—Al10—Al5^xx	53.80 (8)
Ni2—Al2—Ni3^ii	159.07 (12)	Ni1^xx—Al10—Al5^xx	83.12 (5)
Ni2^ii—Al2—Ni3^ii	66.74 (4)	Ni1^xxv—Al10—Al5^xx	161.33 (15)
Ni3—Al2—Ni3^ii	108.97 (11)	Ni1^xxiv—Al10—Al5^xx	118.42 (7)
Ni2—Al2—Al4^ii	138.44 (13)	Ni1^xxi—Al10—Al5^xx	53.76 (6)
Ni2^ii—Al2—Al4^ii	58.42 (7)	Al3^xxi—Al10—Al5^xx	98.63 (8)
Ni3—Al2—Al4^ii	138.55 (14)	Al3^xx—Al10—Al5^xx	137.33 (3)
Ni3^ii—Al2—Al4^ii	58.76 (7)	Al5^xxvii—Al10—Al5^xx	52.46 (14)
Ni2—Al2—Al4	58.42 (7)	Al5^xxv—Al10—Al5^xx	84.93 (8)
Ni2^ii—Al2—Al4	138.44 (13)	Ni5^xxvi—Al10—Al5^xxviii	53.80 (8)
Ni3—Al2—Al4	58.76 (7)	Ni1^xx—Al10—Al5^xxviii	118.42 (7)
Ni3^ii—Al2—Al4	138.56 (14)	Ni1^xxv—Al10—Al5^xxviii	53.75 (6)
Al4^ii—Al2—Al4	102.34 (14)	Ni1^xxiv—Al10—Al5^xxviii	83.12 (5)
Ni2—Al2—Al1	108.72 (8)	Ni1^xxi—Al10—Al5^xxviii	161.33 (15)
Ni2^ii—Al2—Al1	108.72 (8)	Al3^xxi—Al10—Al5^xxviii	137.33 (3)
Ni3—Al2—Al1	56.84 (6)	Al3^xx—Al10—Al5^xxviii	98.63 (8)
Ni3^ii—Al2—Al1	56.84 (6)	Al5^xxvii—Al10—Al5^xxviii	84.93 (8)
Al4^ii—Al2—Al1	112.80 (10)	Al5^xxv—Al10—Al5^xxviii	52.46 (14)
Al4—Al2—Al1	112.81 (10)	Al5^xx—Al10—Al5^xxviii	107.60 (15)
Ni2—Al2—Al6^vi	56.42 (6)	Ni5^xxvi—Al10—Gd2^xxvii	77.36 (6)
Ni2^ii—Al2—Al6^vi	56.41 (6)	Ni1^xx—Al10—Gd2^xxvii	62.97 (2)
Ni3—Al2—Al6^vi	110.33 (8)	Ni1^xxv—Al10—Gd2^xxvii	62.97 (2)
Ni3^ii—Al2—Al6^vi	110.33 (8)	Ni1^xxiv—Al10—Gd2^xxvii	125.90 (3)
Al4^ii—Al2—Al6^vi	110.96 (10)	Ni1^xxi—Al10—Gd2^xxvii	125.90 (2)
Al4—Al2—Al6^vi	110.96 (10)	Al3^xxi—Al10—Gd2^xxvii	144.09 (12)
Al1—Al2—Al6^vi	107.04 (13)	Al3^xx—Al10—Gd2^xxvii	61.18 (6)
Ni2—Al2—Gd1	124.32 (6)	Al5^xxvii—Al10—Gd2^xxvii	55.91 (7)
Ni2^ii—Al2—Gd1	124.32 (6)	Al5^xxv—Al10—Gd2^xxvii	107.58 (10)
Ni3—Al2—Gd1	67.62 (6)	Al5^xx—Al10—Gd2^xxvii	107.58 (10)
Ni3^ii—Al2—Gd1	67.62 (6)	Al5^xxviii—Al10—Gd2^xxvii	55.91 (7)
Al4^ii—Al2—Gd1	71.41 (9)

Symmetry codes: (i) −y+1, x−y+1, z; (ii) x, y, z+1; (iii) −y+1, x−y+1, z+1; (iv) −x+1, −x+y+1, z; (v) x, y, z−1; (vi) y, x, z; (vii) −x+y, −x, −z; (viii) −x+y, −x, −z+1; (ix) y, x, z−1; (x) −x+1, −x+y+1, z+1; (xi) y, x, z+1; (xii) −x, −x+y, z; (xiii) −x+y, −x+1, −z+1; (xiv) −x+y, −x+1, −z; (xv) y, x−1, z; (xvi) x−1, y, z; (xvii) −x, −x+y, z−1; (xviii) −x+1, −x+y+1, z−1; (xix) y, x−1, z+1; (xx) −x+1, −x+y, z; (xxi) −y+1, x−y, z; (xxii) −x+1, −x+y, z+1; (xxiii) −y+1, x−y, z+1; (xxiv) −y+1, x−y, z−1; (xxv) −x+1, −x+y, z−1; (xxvi) x+1, y, z; (xxvii) y+1, x, z; (xxviii) y+1, x, z−1.