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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.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S2053229615018082/ku3165sup1.cif
Contains datablocks I, global

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S2053229615018082/ku3165Isup2.hkl
Contains datablock I

CCDC reference: 1427954

Introduction top

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 GdNi2.75Al2.25; Zarechnyuk & Rykhal', 1981) or its substitution derivative YCo3Ga2 (hP18, P6/mmm, composition GdNi2.5Al2.5; 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 (Gd0.67Ni2Al6), 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 Yb0.67Ni2Al6 (hP11–2.33, P6m2, composition Gd0.67Ni2Al6; 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).

Experimental top

Synthesis and crystallization top

A sample of nominal composition Gd16.7Ni25.0Al58.3 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.

Refinement top

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).

Results and discussion top

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 top

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 top
[Figure 1] Fig. 1. Projections, along [001], of the monoatomic layers of the structure of Gd3Ni7Al14 at z = 0 and z = 1/2.
[Figure 2] Fig. 2. The coordination polyhedra of the atoms in the structure of Gd3Ni7Al14.
[Figure 3] Fig. 3. The stacking of the Ni-centred trigonal prisms in the structures of PrNi2Al3, ZrNiAl and Gd3Ni7Al14, projected along [001].
Trigadolinium heptanickel tetradecaaluminide top
Crystal data top
Gd3Ni7Al14Dx = 5.554 Mg m3
Mr = 1260.44Mo Kα radiation, λ = 0.71073 Å
Hexagonal, P62mCell parameters from 25 reflections
a = 17.966 (5) Åθ = 5.5–12.9°
c = 4.0448 (6) ŵ = 22.31 mm1
V = 1130.6 (7) Å3T = 293 K
Z = 3Needle, metallic-grey
F(000) = 17100.10 × 0.02 × 0.02 mm
Data collection top
Enraf–Nonius CAD-4T
diffractometer
Rint = 0.066
Radiation source: fine-focus sealed tubeθmax = 35.0°, θmin = 2.3°
ω/2θ scansh = 2824
Absorption correction: multi-scan
(SORTAV; Blessing, 1995)
k = 328
Tmin = 0.407, Tmax = 0.799l = 66
8229 measured reflections2 standard reflections every 120 min
1834 independent reflections intensity decay: 12%
1575 reflections with I > 2σ(I)
Refinement top
Refinement on F20 restraints
Least-squares matrix: full w = 1/[σ2(Fo2) + (0.005P)2]
where P = (Fo2 + 2Fc2)/3
R[F2 > 2σ(F2)] = 0.023(Δ/σ)max < 0.001
wR(F2) = 0.031Δρmax = 1.30 e Å3
S = 0.81Δρmin = 1.59 e Å3
1834 reflectionsAbsolute structure: Flack x parameter determined using 647 quotients [(I+) - (I-)]/[(I+) + (I-)] (Parsons et al., 2013)
81 parametersAbsolute structure parameter: 0.040 (17)
Crystal data top
Gd3Ni7Al14Z = 3
Mr = 1260.44Mo Kα radiation
Hexagonal, P62mµ = 22.31 mm1
a = 17.966 (5) ÅT = 293 K
c = 4.0448 (6) Å0.10 × 0.02 × 0.02 mm
V = 1130.6 (7) Å3
Data collection top
Enraf–Nonius CAD-4T
diffractometer
1575 reflections with I > 2σ(I)
Absorption correction: multi-scan
(SORTAV; Blessing, 1995)
Rint = 0.066
Tmin = 0.407, Tmax = 0.7992 standard reflections every 120 min
8229 measured reflections intensity decay: 12%
1834 independent reflections
Refinement top
R[F2 > 2σ(F2)] = 0.0230 restraints
wR(F2) = 0.031Δρmax = 1.30 e Å3
S = 0.81Δρmin = 1.59 e Å3
1834 reflectionsAbsolute structure: Flack x parameter determined using 647 quotients [(I+) - (I-)]/[(I+) + (I-)] (Parsons et al., 2013)
81 parametersAbsolute structure parameter: 0.040 (17)
Special details top

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 (Å2) top
xyzUiso*/Ueq
Gd10.30680 (3)0.48122 (3)0.50000.00642 (7)
Gd20.20317 (3)0.00000.00000.00673 (10)
Ni10.14012 (7)0.22783 (7)0.50000.0068 (2)
Ni20.08542 (7)0.53536 (7)0.00000.0068 (2)
Ni30.15216 (7)0.42823 (7)0.00000.0068 (2)
Ni40.33330.66670.50000.0056 (3)
Ni50.00000.00000.00000.0090 (5)
Al10.09982 (17)0.34005 (19)0.50000.0088 (5)
Al20.14542 (17)0.50499 (16)0.50000.0085 (5)
Al30.20022 (18)0.32339 (18)0.00000.0094 (5)
Al40.24196 (19)0.58817 (19)0.00000.0093 (5)
Al50.0851 (2)0.00000.50000.0080 (7)
Al60.5127 (2)0.00000.50000.0096 (8)
Al70.7055 (2)0.00000.50000.0094 (7)
Al80.3766 (2)0.00000.00000.0146 (9)
Al90.6093 (3)0.00000.00000.0169 (9)
Al100.8590 (2)0.00000.00000.0098 (7)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Gd10.00689 (17)0.00654 (18)0.00604 (15)0.00352 (15)0.0000.000
Gd20.00689 (18)0.0066 (3)0.0066 (3)0.00331 (14)0.0000.000
Ni10.0068 (5)0.0063 (5)0.0066 (5)0.0028 (4)0.0000.000
Ni20.0069 (5)0.0061 (5)0.0072 (5)0.0031 (4)0.0000.000
Ni30.0066 (5)0.0066 (5)0.0075 (5)0.0036 (4)0.0000.000
Ni40.0057 (5)0.0057 (5)0.0054 (9)0.0028 (2)0.0000.000
Ni50.0083 (8)0.0083 (8)0.0106 (14)0.0041 (4)0.0000.000
Al10.0092 (13)0.0107 (14)0.0081 (14)0.0063 (11)0.0000.000
Al20.0069 (13)0.0069 (12)0.0111 (13)0.0029 (11)0.0000.000
Al30.0088 (12)0.0102 (12)0.0080 (13)0.0038 (10)0.0000.000
Al40.0105 (11)0.0098 (12)0.0090 (13)0.0061 (10)0.0000.000
Al50.0079 (12)0.0038 (15)0.0111 (19)0.0019 (8)0.0000.000
Al60.0100 (14)0.0116 (19)0.0077 (19)0.0058 (10)0.0000.000
Al70.0089 (12)0.0076 (17)0.011 (2)0.0038 (9)0.0000.000
Al80.0173 (16)0.016 (2)0.0100 (18)0.0081 (10)0.0000.000
Al90.0241 (17)0.0095 (19)0.012 (2)0.0048 (9)0.0000.000
Al100.0088 (12)0.0114 (19)0.0101 (18)0.0057 (9)0.0000.000
Geometric parameters (Å, º) top
Gd1—Ni43.1208 (10)Al2—Ni2ii2.4774 (17)
Gd1—Al23.135 (3)Al2—Ni3ii2.4847 (17)
Gd1—Al2i3.153 (3)Al2—Al4ii2.596 (3)
Gd1—Ni3ii3.1733 (11)Al2—Al42.596 (3)
Gd1—Ni33.1733 (11)Al2—Al6vi2.685 (3)
Gd1—Ni2iii3.1866 (10)Al2—Gd1xiii3.153 (3)
Gd1—Ni2i3.1866 (10)Al3—Ni1v2.5199 (19)
Gd1—Al6iv3.190 (2)Al3—Al1v2.824 (3)
Gd1—Al3ii3.220 (2)Al3—Al7iv2.848 (2)
Gd1—Al33.220 (2)Al3—Al7xviii2.848 (2)
Gd1—Al7iv3.250 (3)Al3—Al10iv2.895 (4)
Gd1—Al13.291 (3)Al3—Gd2vi3.136 (3)
Gd2—Al5v2.931 (3)Al3—Gd1v3.220 (2)
Gd2—Al52.931 (3)Al4—Ni4v2.5414 (18)
Gd2—Al1vi2.991 (2)Al4—Al2v2.596 (3)
Gd2—Al1vii2.991 (2)Al4—Al4xiv2.666 (5)
Gd2—Al1viii2.991 (2)Al4—Al4i2.666 (5)
Gd2—Al1ix2.991 (2)Al4—Gd1v3.373 (2)
Gd2—Ni1vi3.0834 (10)Al4—Gd1xiii3.378 (2)
Gd2—Ni1ix3.0834 (10)Al4—Gd1xiv3.378 (2)
Gd2—Ni1vii3.0835 (10)Al5—Ni5ii2.535 (2)
Gd2—Ni1viii3.0835 (10)Al5—Ni1viii2.541 (2)
Gd2—Al83.115 (5)Al5—Ni1vi2.541 (2)
Gd2—Al3vi3.136 (3)Al5—Al5xii2.648 (7)
Ni1—Al7iv2.410 (4)Al5—Al5vi2.648 (7)
Ni1—Al12.459 (3)Al5—Gd2ii2.931 (3)
Ni1—Al32.5199 (19)Al5—Al10xv2.996 (2)
Ni1—Al3ii2.5199 (19)Al5—Al10x2.996 (2)
Ni1—Al5vi2.541 (2)Al5—Al10xix2.996 (2)
Ni1—Al10iv2.5588 (14)Al5—Al10iv2.996 (2)
Ni1—Al10x2.5588 (14)Al6—Ni2vii2.4467 (9)
Ni1—Ni1vi2.729 (2)Al6—Ni2xi2.4467 (9)
Ni1—Gd2vi3.0835 (10)Al6—Ni2vi2.4467 (9)
Ni1—Gd2xi3.0835 (10)Al6—Ni2viii2.4467 (9)
Ni2—Al6ix2.4467 (9)Al6—Al92.665 (4)
Ni2—Al6vi2.4467 (9)Al6—Al9ii2.665 (4)
Ni2—Al8vi2.473 (4)Al6—Al2viii2.685 (3)
Ni2—Al22.4774 (17)Al6—Al2vi2.685 (3)
Ni2—Al2v2.4774 (17)Al6—Gd1xx3.190 (2)
Ni2—Al42.478 (3)Al6—Gd1xxi3.190 (2)
Ni2—Al9vi2.482 (5)Al7—Ni1xxi2.409 (4)
Ni2—Ni2xii2.658 (2)Al7—Ni1xx2.410 (4)
Ni2—Ni32.7293 (17)Al7—Al9ii2.660 (4)
Ni2—Gd1xiii3.1865 (10)Al7—Al92.660 (4)
Ni2—Gd1xiv3.1865 (10)Al7—Al3xxii2.847 (2)
Ni3—Al8vi2.4078 (15)Al7—Al3xxi2.847 (2)
Ni3—Al32.433 (3)Al7—Al3xxiii2.847 (2)
Ni3—Al1v2.4484 (18)Al7—Al3xx2.847 (2)
Ni3—Al12.4484 (18)Al7—Gd1xxi3.250 (3)
Ni3—Al2v2.4847 (17)Al7—Gd1xx3.250 (3)
Ni3—Al22.4847 (17)Al8—Ni3vii2.4078 (15)
Ni3—Al42.495 (3)Al8—Ni3vi2.4078 (15)
Ni3—Gd1v3.1734 (11)Al8—Ni2vi2.473 (4)
Ni4—Al4xiii2.5413 (18)Al8—Ni2vii2.473 (4)
Ni4—Al4xiv2.5413 (18)Al8—Al1vii2.986 (3)
Ni4—Al42.5414 (18)Al8—Al1vi2.986 (3)
Ni4—Al4ii2.5414 (18)Al8—Al1ix2.986 (3)
Ni4—Al4iii2.5414 (18)Al8—Al1viii2.986 (3)
Ni4—Al4i2.5414 (18)Al9—Ni2vii2.482 (5)
Ni4—Gd1xiii3.1207 (10)Al9—Ni2vi2.482 (5)
Ni4—Gd1i3.1208 (10)Al9—Al7v2.660 (4)
Ni5—Al10iv2.534 (4)Al9—Al6v2.665 (4)
Ni5—Al10xv2.534 (4)Al9—Gd1xxiv3.3850 (7)
Ni5—Al10xvi2.534 (4)Al9—Gd1xx3.3850 (7)
Ni5—Al52.535 (2)Al9—Gd1xxi3.3850 (7)
Ni5—Al5xvii2.535 (2)Al9—Gd1xxv3.3850 (7)
Ni5—Al5vi2.535 (2)Al10—Ni5xxvi2.534 (4)
Ni5—Al5v2.535 (2)Al10—Ni1xx2.5588 (14)
Ni5—Al5ix2.535 (2)Al10—Ni1xxv2.5588 (14)
Ni5—Al5xii2.535 (2)Al10—Ni1xxiv2.5588 (14)
Al1—Ni3ii2.4484 (18)Al10—Ni1xxi2.5588 (14)
Al1—Al22.650 (4)Al10—Al3xxi2.895 (4)
Al1—Al32.824 (3)Al10—Al3xx2.895 (4)
Al1—Al3ii2.824 (3)Al10—Al5xxvii2.996 (2)
Al1—Al8vi2.986 (3)Al10—Al5xxv2.996 (2)
Al1—Al8xi2.986 (3)Al10—Al5xx2.996 (2)
Al1—Gd2vi2.991 (2)Al10—Al5xxviii2.996 (2)
Al1—Gd2xi2.991 (2)Al10—Gd2xxvii3.2396 (13)
Ni4—Gd1—Al260.83 (5)Al4—Al2—Gd171.41 (9)
Ni4—Gd1—Al2i60.63 (5)Al1—Al2—Gd168.75 (8)
Al2—Gd1—Al2i121.45 (8)Al6vi—Al2—Gd1175.79 (12)
Ni4—Gd1—Ni3ii87.92 (2)Ni2—Al2—Gd1xiii67.71 (6)
Al2—Gd1—Ni3ii46.39 (3)Ni2ii—Al2—Gd1xiii67.71 (6)
Al2i—Gd1—Ni3ii130.77 (3)Ni3—Al2—Gd1xiii124.57 (5)
Ni4—Gd1—Ni387.92 (2)Ni3ii—Al2—Gd1xiii124.57 (5)
Al2—Gd1—Ni346.39 (3)Al4ii—Al2—Gd1xiii71.23 (8)
Al2i—Gd1—Ni3130.77 (3)Al4—Al2—Gd1xiii71.22 (8)
Ni3ii—Gd1—Ni379.18 (3)Al1—Al2—Gd1xiii172.70 (12)
Ni4—Gd1—Ni2iii87.38 (2)Al6vi—Al2—Gd1xiii65.66 (8)
Al2—Gd1—Ni2iii130.64 (3)Gd1—Al2—Gd1xiii118.55 (8)
Al2i—Gd1—Ni2iii46.00 (3)Ni3—Al3—Ni1v109.30 (8)
Ni3ii—Gd1—Ni2iii100.82 (3)Ni3—Al3—Ni1109.30 (8)
Ni3—Gd1—Ni2iii175.30 (3)Ni1v—Al3—Ni1106.75 (12)
Ni4—Gd1—Ni2i87.38 (2)Ni3—Al3—Al154.92 (7)
Al2—Gd1—Ni2i130.64 (3)Ni1v—Al3—Al1124.63 (12)
Al2i—Gd1—Ni2i46.00 (3)Ni1—Al3—Al154.45 (6)
Ni3ii—Gd1—Ni2i175.30 (3)Ni3—Al3—Al1v54.91 (7)
Ni3—Gd1—Ni2i100.82 (3)Ni1v—Al3—Al1v54.45 (7)
Ni2iii—Gd1—Ni2i78.79 (3)Ni1—Al3—Al1v124.63 (12)
Ni4—Gd1—Al6iv110.70 (6)Al1—Al3—Al1v91.49 (11)
Al2—Gd1—Al6iv171.53 (7)Ni3—Al3—Al7iv127.94 (7)
Al2i—Gd1—Al6iv50.08 (7)Ni1v—Al3—Al7iv122.49 (12)
Ni3ii—Gd1—Al6iv137.13 (3)Ni1—Al3—Al7iv52.92 (8)
Ni3—Gd1—Al6iv137.13 (3)Al1—Al3—Al7iv88.87 (5)
Ni2iii—Gd1—Al6iv45.13 (3)Al1v—Al3—Al7iv176.18 (15)
Ni2i—Gd1—Al6iv45.13 (3)Ni3—Al3—Al7xviii127.94 (7)
Ni4—Gd1—Al3ii130.26 (4)Ni1v—Al3—Al7xviii52.92 (8)
Al2—Gd1—Al3ii86.37 (6)Ni1—Al3—Al7xviii122.49 (12)
Al2i—Gd1—Al3ii134.00 (5)Al1—Al3—Al7xviii176.18 (15)
Ni3ii—Gd1—Al3ii44.73 (5)Al1v—Al3—Al7xviii88.87 (5)
Ni3—Gd1—Al3ii95.17 (5)Al7iv—Al3—Al7xviii90.51 (9)
Ni2iii—Gd1—Al3ii88.00 (5)Ni3—Al3—Al10iv143.55 (13)
Ni2i—Gd1—Al3ii139.68 (6)Ni1v—Al3—Al10iv55.88 (6)
Al6iv—Gd1—Al3ii100.19 (7)Ni1—Al3—Al10iv55.88 (6)
Ni4—Gd1—Al3130.26 (4)Al1—Al3—Al10iv103.14 (9)
Al2—Gd1—Al386.37 (6)Al1v—Al3—Al10iv103.14 (9)
Al2i—Gd1—Al3134.00 (5)Al7iv—Al3—Al10iv73.09 (10)
Ni3ii—Gd1—Al395.17 (5)Al7xviii—Al3—Al10iv73.09 (10)
Ni3—Gd1—Al344.73 (5)Ni3—Al3—Gd2vi78.72 (8)
Ni2iii—Gd1—Al3139.68 (6)Ni1v—Al3—Gd2vi65.01 (7)
Ni2i—Gd1—Al388.00 (5)Ni1—Al3—Gd2vi65.01 (7)
Al6iv—Gd1—Al3100.19 (7)Al1—Al3—Gd2vi59.97 (7)
Al3ii—Gd1—Al377.82 (7)Al1v—Al3—Gd2vi59.97 (7)
Ni4—Gd1—Al7iv175.77 (6)Al7iv—Al3—Gd2vi117.16 (10)
Al2—Gd1—Al7iv123.40 (7)Al7xviii—Al3—Gd2vi117.16 (10)
Al2i—Gd1—Al7iv115.15 (9)Al10iv—Al3—Gd2vi64.83 (8)
Ni3ii—Gd1—Al7iv95.33 (5)Ni3—Al3—Gd1v66.63 (6)
Ni3—Gd1—Al7iv95.33 (5)Ni1v—Al3—Gd1v87.68 (4)
Ni2iii—Gd1—Al7iv89.35 (5)Ni1—Al3—Gd1v165.39 (9)
Ni2i—Gd1—Al7iv89.35 (5)Al1—Al3—Gd1v119.13 (10)
Al6iv—Gd1—Al7iv65.07 (8)Al1v—Al3—Gd1v65.60 (6)
Al3ii—Gd1—Al7iv52.22 (6)Al7iv—Al3—Gd1v117.42 (12)
Al3—Gd1—Al7iv52.22 (6)Al7xviii—Al3—Gd1v64.43 (7)
Ni4—Gd1—Al1109.47 (5)Al10iv—Al3—Gd1v135.79 (6)
Al2—Gd1—Al148.65 (7)Gd2vi—Al3—Gd1v125.37 (6)
Al2i—Gd1—Al1170.10 (7)Ni3—Al3—Gd166.62 (6)
Ni3ii—Gd1—Al144.47 (3)Ni1v—Al3—Gd1165.39 (9)
Ni3—Gd1—Al144.47 (3)Ni1—Al3—Gd187.68 (4)
Ni2iii—Gd1—Al1137.95 (2)Al1—Al3—Gd165.60 (6)
Ni2i—Gd1—Al1137.95 (2)Al1v—Al3—Gd1119.12 (10)
Al6iv—Gd1—Al1139.82 (8)Al7iv—Al3—Gd164.43 (7)
Al3ii—Gd1—Al151.39 (5)Al7xviii—Al3—Gd1117.42 (12)
Al3—Gd1—Al151.39 (5)Al10iv—Al3—Gd1135.79 (6)
Al7iv—Gd1—Al174.75 (8)Gd2vi—Al3—Gd1125.37 (6)
Al5v—Gd2—Al587.27 (10)Gd1v—Al3—Gd177.82 (7)
Al5v—Gd2—Al1vi147.65 (5)Ni2—Al4—Ni366.57 (8)
Al5—Gd2—Al1vi84.92 (6)Ni2—Al4—Ni4120.46 (7)
Al5v—Gd2—Al1vii84.92 (6)Ni3—Al4—Ni4120.36 (7)
Al5—Gd2—Al1vii147.65 (5)Ni2—Al4—Ni4v120.46 (7)
Al1vi—Gd2—Al1vii117.00 (10)Ni3—Al4—Ni4v120.36 (7)
Al5v—Gd2—Al1viii147.65 (5)Ni4—Al4—Ni4v105.46 (11)
Al5—Gd2—Al1viii84.92 (6)Ni2—Al4—Al258.39 (8)
Al1vi—Gd2—Al1viii62.58 (9)Ni3—Al4—Al258.39 (7)
Al1vii—Gd2—Al1viii85.10 (8)Ni4—Al4—Al276.10 (5)
Al5v—Gd2—Al1ix84.92 (6)Ni4v—Al4—Al2178.44 (12)
Al5—Gd2—Al1ix147.65 (5)Ni2—Al4—Al2v58.39 (8)
Al1vi—Gd2—Al1ix85.10 (8)Ni3—Al4—Al2v58.39 (7)
Al1vii—Gd2—Al1ix62.58 (9)Ni4—Al4—Al2v178.44 (12)
Al1viii—Gd2—Al1ix117.00 (10)Ni4v—Al4—Al2v76.10 (5)
Al5v—Gd2—Ni1vi105.14 (4)Al2—Al4—Al2v102.34 (14)
Al5—Gd2—Ni1vi49.91 (3)Ni2—Al4—Al4xiv116.84 (17)
Al1vi—Gd2—Ni1vi47.74 (5)Ni3—Al4—Al4xiv176.58 (18)
Al1vii—Gd2—Ni1vi161.61 (5)Ni4—Al4—Al4xiv58.37 (4)
Al1viii—Gd2—Ni1vi93.54 (4)Ni4v—Al4—Al4xiv58.37 (4)
Al1ix—Gd2—Ni1vi102.39 (5)Al2—Al4—Al4xiv122.94 (10)
Al5v—Gd2—Ni1ix49.91 (3)Al2v—Al4—Al4xiv122.94 (10)
Al5—Gd2—Ni1ix105.14 (4)Ni2—Al4—Al4i176.84 (17)
Al1vi—Gd2—Ni1ix102.39 (5)Ni3—Al4—Al4i116.58 (18)
Al1vii—Gd2—Ni1ix93.54 (4)Ni4—Al4—Al4i58.37 (4)
Al1viii—Gd2—Ni1ix161.61 (5)Ni4v—Al4—Al4i58.37 (4)
Al1ix—Gd2—Ni1ix47.74 (5)Al2—Al4—Al4i122.84 (11)
Ni1vi—Gd2—Ni1ix81.97 (3)Al2v—Al4—Al4i122.84 (11)
Al5v—Gd2—Ni1vii49.91 (3)Al4xiv—Al4—Al4i60.0
Al5—Gd2—Ni1vii105.14 (4)Ni2—Al4—Gd1115.53 (8)
Al1vi—Gd2—Ni1vii161.61 (5)Ni3—Al4—Gd163.42 (6)
Al1vii—Gd2—Ni1vii47.74 (5)Ni4—Al4—Gd161.82 (4)
Al1viii—Gd2—Ni1vii102.39 (5)Ni4v—Al4—Gd1118.82 (10)
Al1ix—Gd2—Ni1vii93.55 (4)Al2—Al4—Gd161.75 (7)
Ni1vi—Gd2—Ni1vii149.32 (5)Al2v—Al4—Gd1117.44 (11)
Ni1ix—Gd2—Ni1vii89.98 (3)Al4xiv—Al4—Gd1114.02 (9)
Al5v—Gd2—Ni1viii105.14 (4)Al4i—Al4—Gd166.85 (10)
Al5—Gd2—Ni1viii49.91 (3)Ni2—Al4—Gd1v115.53 (8)
Al1vi—Gd2—Ni1viii93.55 (4)Ni3—Al4—Gd1v63.42 (6)
Al1vii—Gd2—Ni1viii102.39 (5)Ni4—Al4—Gd1v118.82 (10)
Al1viii—Gd2—Ni1viii47.74 (5)Ni4v—Al4—Gd1v61.82 (4)
Al1ix—Gd2—Ni1viii161.61 (5)Al2—Al4—Gd1v117.44 (11)
Ni1vi—Gd2—Ni1viii89.98 (3)Al2v—Al4—Gd1v61.75 (7)
Ni1ix—Gd2—Ni1viii149.32 (5)Al4xiv—Al4—Gd1v114.02 (9)
Ni1vii—Gd2—Ni1viii81.97 (3)Al4i—Al4—Gd1v66.85 (10)
Al5v—Gd2—Al8136.37 (5)Gd1—Al4—Gd1v73.68 (6)
Al5—Gd2—Al8136.37 (5)Ni2—Al4—Gd1xiii63.77 (6)
Al1vi—Gd2—Al858.50 (5)Ni3—Al4—Gd1xiii115.93 (8)
Al1vii—Gd2—Al858.50 (5)Ni4—Al4—Gd1xiii61.73 (4)
Al1viii—Gd2—Al858.50 (5)Ni4v—Al4—Gd1xiii118.63 (10)
Al1ix—Gd2—Al858.50 (5)Al2—Al4—Gd1xiii62.09 (7)
Ni1vi—Gd2—Al8105.34 (2)Al2v—Al4—Gd1xiii117.69 (12)
Ni1ix—Gd2—Al8105.34 (2)Al4xiv—Al4—Gd1xiii66.64 (10)
Ni1vii—Gd2—Al8105.34 (2)Al4i—Al4—Gd1xiii113.86 (9)
Ni1viii—Gd2—Al8105.34 (2)Gd1—Al4—Gd1xiii106.381 (19)
Al5v—Gd2—Al3vi94.78 (4)Gd1v—Al4—Gd1xiii179.27 (10)
Al5—Gd2—Al3vi94.78 (4)Ni2—Al4—Gd1xiv63.77 (6)
Al1vi—Gd2—Al3vi54.82 (5)Ni3—Al4—Gd1xiv115.93 (8)
Al1vii—Gd2—Al3vi117.11 (6)Ni4—Al4—Gd1xiv118.63 (10)
Al1viii—Gd2—Al3vi117.11 (6)Ni4v—Al4—Gd1xiv61.73 (4)
Al1ix—Gd2—Al3vi54.82 (5)Al2—Al4—Gd1xiv117.69 (12)
Ni1vi—Gd2—Al3vi47.79 (3)Al2v—Al4—Gd1xiv62.09 (7)
Ni1ix—Gd2—Al3vi47.79 (3)Al4xiv—Al4—Gd1xiv66.64 (10)
Ni1vii—Gd2—Al3vi137.12 (2)Al4i—Al4—Gd1xiv113.86 (9)
Ni1viii—Gd2—Al3vi137.12 (2)Gd1—Al4—Gd1xiv179.27 (10)
Al8—Gd2—Al3vi83.38 (5)Gd1v—Al4—Gd1xiv106.382 (19)
Al7iv—Ni1—Al1109.26 (10)Gd1xiii—Al4—Gd1xiv73.55 (6)
Al7iv—Ni1—Al370.53 (8)Ni5—Al5—Ni5ii105.83 (14)
Al1—Ni1—Al369.08 (7)Ni5—Al5—Ni1viii108.049 (19)
Al7iv—Ni1—Al3ii70.53 (8)Ni5ii—Al5—Ni1viii108.049 (19)
Al1—Ni1—Al3ii69.08 (7)Ni5—Al5—Ni1vi108.050 (19)
Al3—Ni1—Al3ii106.75 (12)Ni5ii—Al5—Ni1vi108.050 (19)
Al7iv—Ni1—Al5vi144.59 (10)Ni1viii—Al5—Ni1vi118.16 (16)
Al1—Ni1—Al5vi106.15 (11)Ni5—Al5—Al5xii58.52 (6)
Al3—Ni1—Al5vi123.94 (6)Ni5ii—Al5—Al5xii58.52 (6)
Al3ii—Ni1—Al5vi123.94 (6)Ni1viii—Al5—Al5xii90.92 (8)
Al7iv—Ni1—Al10iv86.93 (8)Ni1vi—Al5—Al5xii150.92 (8)
Al1—Ni1—Al10iv126.43 (3)Ni5—Al5—Al5vi58.52 (6)
Al3—Ni1—Al10iv69.50 (8)Ni5ii—Al5—Al5vi58.52 (6)
Al3ii—Ni1—Al10iv156.70 (10)Ni1viii—Al5—Al5vi150.92 (8)
Al5vi—Ni1—Al10iv71.94 (9)Ni1vi—Al5—Al5vi90.92 (8)
Al7iv—Ni1—Al10x86.93 (8)Al5xii—Al5—Al5vi60.0
Al1—Ni1—Al10x126.43 (3)Ni5—Al5—Gd283.45 (3)
Al3—Ni1—Al10x156.70 (10)Ni5ii—Al5—Gd2170.72 (12)
Al3ii—Ni1—Al10x69.50 (8)Ni1viii—Al5—Gd268.17 (7)
Al5vi—Ni1—Al10x71.94 (9)Ni1vi—Al5—Gd268.17 (7)
Al10iv—Ni1—Al10x104.44 (8)Al5xii—Al5—Gd2128.81 (4)
Al7iv—Ni1—Ni1vi55.50 (6)Al5vi—Al5—Gd2128.81 (4)
Al1—Ni1—Ni1vi164.77 (7)Ni5—Al5—Gd2ii170.72 (12)
Al3—Ni1—Ni1vi102.65 (7)Ni5ii—Al5—Gd2ii83.45 (3)
Al3ii—Ni1—Ni1vi102.65 (7)Ni1viii—Al5—Gd2ii68.17 (7)
Al5vi—Ni1—Ni1vi89.08 (8)Ni1vi—Al5—Gd2ii68.17 (7)
Al10iv—Ni1—Ni1vi57.77 (3)Al5xii—Al5—Gd2ii128.81 (4)
Al10x—Ni1—Ni1vi57.77 (3)Al5vi—Al5—Gd2ii128.81 (4)
Al7iv—Ni1—Gd2vi136.52 (3)Gd2—Al5—Gd2ii87.27 (10)
Al1—Ni1—Gd2vi64.15 (5)Ni5—Al5—Al10xv53.75 (6)
Al3—Ni1—Gd2vi67.19 (6)Ni5ii—Al5—Al10xv119.07 (9)
Al3ii—Ni1—Gd2vi131.70 (8)Ni1viii—Al5—Al10xv54.30 (6)
Al5vi—Ni1—Gd2vi61.92 (6)Ni1vi—Al5—Al10xv132.32 (8)
Al10iv—Ni1—Gd2vi69.37 (4)Al5xii—Al5—Al10xv63.77 (7)
Al10x—Ni1—Gd2vi133.19 (9)Al5vi—Al5—Al10xv106.89 (9)
Ni1vi—Ni1—Gd2vi125.63 (2)Gd2—Al5—Al10xv66.26 (3)
Al7iv—Ni1—Gd2xi136.52 (3)Gd2ii—Al5—Al10xv121.95 (10)
Al1—Ni1—Gd2xi64.15 (5)Ni5—Al5—Al10x119.07 (9)
Al3—Ni1—Gd2xi131.69 (8)Ni5ii—Al5—Al10x53.75 (6)
Al3ii—Ni1—Gd2xi67.20 (6)Ni1viii—Al5—Al10x132.33 (8)
Al5vi—Ni1—Gd2xi61.92 (6)Ni1vi—Al5—Al10x54.31 (6)
Al10iv—Ni1—Gd2xi133.19 (9)Al5xii—Al5—Al10x106.89 (9)
Al10x—Ni1—Gd2xi69.37 (4)Al5vi—Al5—Al10x63.77 (7)
Ni1vi—Ni1—Gd2xi125.63 (2)Gd2—Al5—Al10x121.95 (10)
Gd2vi—Ni1—Gd2xi81.97 (3)Gd2ii—Al5—Al10x66.26 (3)
Al6ix—Ni2—Al6vi111.50 (6)Al10xv—Al5—Al10x169.97 (16)
Al6ix—Ni2—Al8vi80.34 (9)Ni5—Al5—Al10xix119.07 (9)
Al6vi—Ni2—Al8vi80.34 (9)Ni5ii—Al5—Al10xix53.75 (6)
Al6ix—Ni2—Al2160.72 (11)Ni1viii—Al5—Al10xix54.30 (6)
Al6vi—Ni2—Al266.07 (7)Ni1vi—Al5—Al10xix132.32 (8)
Al8vi—Ni2—Al280.41 (7)Al5xii—Al5—Al10xix63.77 (7)
Al6ix—Ni2—Al2v66.07 (7)Al5vi—Al5—Al10xix106.89 (9)
Al6vi—Ni2—Al2v160.72 (11)Gd2—Al5—Al10xix121.95 (10)
Al8vi—Ni2—Al2v80.41 (7)Gd2ii—Al5—Al10xix66.26 (3)
Al2—Ni2—Al2v109.44 (11)Al10xv—Al5—Al10xix84.93 (8)
Al6ix—Ni2—Al4124.13 (3)Al10x—Al5—Al10xix94.19 (9)
Al6vi—Ni2—Al4124.13 (3)Ni5—Al5—Al10iv53.75 (6)
Al8vi—Ni2—Al4111.88 (10)Ni5ii—Al5—Al10iv119.07 (9)
Al2—Ni2—Al463.18 (7)Ni1viii—Al5—Al10iv132.33 (8)
Al2v—Ni2—Al463.19 (7)Ni1vi—Al5—Al10iv54.31 (6)
Al6ix—Ni2—Al9vi65.46 (9)Al5xii—Al5—Al10iv106.89 (9)
Al6vi—Ni2—Al9vi65.46 (9)Al5vi—Al5—Al10iv63.77 (7)
Al8vi—Ni2—Al9vi115.11 (9)Gd2—Al5—Al10iv66.26 (3)
Al2—Ni2—Al9vi124.85 (6)Gd2ii—Al5—Al10iv121.95 (10)
Al2v—Ni2—Al9vi124.85 (6)Al10xv—Al5—Al10iv94.19 (9)
Al4—Ni2—Al9vi133.02 (10)Al10x—Al5—Al10iv84.93 (8)
Al6ix—Ni2—Ni2xii57.10 (2)Al10xix—Al5—Al10iv169.97 (16)
Al6vi—Ni2—Ni2xii57.10 (2)Ni2vii—Al6—Ni2xi163.05 (19)
Al8vi—Ni2—Ni2xii57.49 (6)Ni2vii—Al6—Ni2vi65.80 (5)
Al2—Ni2—Ni2xii112.14 (6)Ni2xi—Al6—Ni2vi111.50 (6)
Al2v—Ni2—Ni2xii112.13 (6)Ni2vii—Al6—Ni2viii111.50 (6)
Al4—Ni2—Ni2xii169.36 (7)Ni2xi—Al6—Ni2viii65.80 (5)
Al9vi—Ni2—Ni2xii57.62 (7)Ni2vi—Al6—Ni2viii163.05 (19)
Al6ix—Ni2—Ni3110.05 (9)Ni2vii—Al6—Al957.90 (8)
Al6vi—Ni2—Ni3110.05 (9)Ni2xi—Al6—Al9136.32 (13)
Al8vi—Ni2—Ni354.87 (6)Ni2vi—Al6—Al957.90 (8)
Al2—Ni2—Ni356.76 (6)Ni2viii—Al6—Al9136.32 (13)
Al2v—Ni2—Ni356.76 (6)Ni2vii—Al6—Al9ii136.32 (13)
Al4—Ni2—Ni357.00 (8)Ni2xi—Al6—Al9ii57.90 (8)
Al9vi—Ni2—Ni3169.98 (8)Ni2vi—Al6—Al9ii136.32 (13)
Ni2xii—Ni2—Ni3112.36 (3)Ni2viii—Al6—Al9ii57.90 (8)
Al6ix—Ni2—Gd1xiii131.80 (10)Al9—Al6—Al9ii98.7 (2)
Al6vi—Ni2—Gd1xiii67.50 (6)Ni2vii—Al6—Al2viii57.51 (5)
Al8vi—Ni2—Gd1xiii140.573 (16)Ni2xi—Al6—Al2viii112.24 (9)
Al2—Ni2—Gd1xiii66.29 (6)Ni2vi—Al6—Al2viii112.24 (9)
Al2v—Ni2—Gd1xiii129.35 (7)Ni2viii—Al6—Al2viii57.51 (5)
Al4—Ni2—Gd1xiii71.99 (5)Al9—Al6—Al2viii110.52 (5)
Al9vi—Ni2—Gd1xiii72.13 (6)Al9ii—Al6—Al2viii110.52 (5)
Ni2xii—Ni2—Gd1xiii115.76 (2)Ni2vii—Al6—Al2vi112.24 (9)
Ni3—Ni2—Gd1xiii115.19 (3)Ni2xi—Al6—Al2vi57.51 (5)
Al6ix—Ni2—Gd1xiv67.50 (6)Ni2vi—Al6—Al2vi57.51 (5)
Al6vi—Ni2—Gd1xiv131.80 (10)Ni2viii—Al6—Al2vi112.24 (9)
Al8vi—Ni2—Gd1xiv140.573 (16)Al9—Al6—Al2vi110.52 (5)
Al2—Ni2—Gd1xiv129.35 (7)Al9ii—Al6—Al2vi110.52 (5)
Al2v—Ni2—Gd1xiv66.29 (6)Al2viii—Al6—Al2vi114.87 (17)
Al4—Ni2—Gd1xiv71.99 (5)Ni2vii—Al6—Gd1xx122.66 (6)
Al9vi—Ni2—Gd1xiv72.13 (6)Ni2xi—Al6—Gd1xx67.37 (4)
Ni2xii—Ni2—Gd1xiv115.76 (2)Ni2vi—Al6—Gd1xx67.37 (4)
Ni3—Ni2—Gd1xiv115.19 (3)Ni2viii—Al6—Gd1xx122.66 (6)
Gd1xiii—Ni2—Gd1xiv78.79 (3)Al9—Al6—Gd1xx69.99 (7)
Al8vi—Ni3—Al3118.40 (14)Al9ii—Al6—Gd1xx69.99 (7)
Al8vi—Ni3—Al1v75.87 (9)Al2viii—Al6—Gd1xx179.13 (14)
Al3—Ni3—Al1v70.68 (7)Al2vi—Al6—Gd1xx64.26 (5)
Al8vi—Ni3—Al175.87 (9)Ni2vii—Al6—Gd1xxi67.37 (4)
Al3—Ni3—Al170.68 (7)Ni2xi—Al6—Gd1xxi122.66 (6)
Al1v—Ni3—Al1111.38 (12)Ni2vi—Al6—Gd1xxi122.66 (6)
Al8vi—Ni3—Al2v81.54 (9)Ni2viii—Al6—Gd1xxi67.37 (4)
Al3—Ni3—Al2v124.36 (6)Al9—Al6—Gd1xxi69.99 (7)
Al1v—Ni3—Al2v64.99 (8)Al9ii—Al6—Gd1xxi69.99 (7)
Al1—Ni3—Al2v157.21 (10)Al2viii—Al6—Gd1xxi64.26 (5)
Al8vi—Ni3—Al281.54 (9)Al2vi—Al6—Gd1xxi179.13 (14)
Al3—Ni3—Al2124.36 (6)Gd1xx—Al6—Gd1xxi116.61 (12)
Al1v—Ni3—Al2157.21 (10)Ni1xxi—Al7—Ni1xx68.99 (13)
Al1—Ni3—Al264.99 (8)Ni1xxi—Al7—Al9ii122.37 (7)
Al2v—Ni3—Al2108.97 (11)Ni1xx—Al7—Al9ii122.37 (7)
Al8vi—Ni3—Al4113.56 (15)Ni1xxi—Al7—Al9122.37 (7)
Al3—Ni3—Al4128.04 (11)Ni1xx—Al7—Al9122.37 (7)
Al1v—Ni3—Al4124.28 (6)Al9ii—Al7—Al999.0 (2)
Al1—Ni3—Al4124.28 (6)Ni1xxi—Al7—Al3xxii102.19 (13)
Al2v—Ni3—Al462.85 (7)Ni1xx—Al7—Al3xxii56.55 (7)
Al2—Ni3—Al462.85 (7)Al9ii—Al7—Al3xxii66.05 (8)
Al8vi—Ni3—Ni257.14 (11)Al9—Al7—Al3xxii132.38 (11)
Al3—Ni3—Ni2175.54 (9)Ni1xxi—Al7—Al3xxi56.55 (7)
Al1v—Ni3—Ni2107.11 (7)Ni1xx—Al7—Al3xxi102.19 (13)
Al1—Ni3—Ni2107.12 (7)Al9ii—Al7—Al3xxi132.38 (11)
Al2v—Ni3—Ni256.50 (6)Al9—Al7—Al3xxi66.05 (8)
Al2—Ni3—Ni256.50 (6)Al3xxii—Al7—Al3xxi156.2 (2)
Al4—Ni3—Ni256.42 (8)Ni1xxi—Al7—Al3xxiii56.55 (7)
Al8vi—Ni3—Gd1140.408 (16)Ni1xx—Al7—Al3xxiii102.19 (13)
Al3—Ni3—Gd168.65 (5)Al9ii—Al7—Al3xxiii66.05 (8)
Al1v—Ni3—Gd1135.72 (7)Al9—Al7—Al3xxiii132.38 (10)
Al1—Ni3—Gd170.31 (6)Al3xxii—Al7—Al3xxiii84.60 (9)
Al2v—Ni3—Gd1129.09 (7)Al3xxi—Al7—Al3xxiii90.51 (9)
Al2—Ni3—Gd165.99 (6)Ni1xxi—Al7—Al3xx102.19 (13)
Al4—Ni3—Gd171.91 (6)Ni1xx—Al7—Al3xx56.55 (7)
Ni2—Ni3—Gd1114.57 (3)Al9ii—Al7—Al3xx132.38 (11)
Al8vi—Ni3—Gd1v140.408 (16)Al9—Al7—Al3xx66.05 (8)
Al3—Ni3—Gd1v68.65 (5)Al3xxii—Al7—Al3xx90.51 (9)
Al1v—Ni3—Gd1v70.31 (6)Al3xxi—Al7—Al3xx84.60 (9)
Al1—Ni3—Gd1v135.72 (7)Al3xxiii—Al7—Al3xx156.2 (2)
Al2v—Ni3—Gd1v65.99 (6)Ni1xxi—Al7—Gd1xxi88.88 (3)
Al2—Ni3—Gd1v129.09 (8)Ni1xx—Al7—Gd1xxi157.87 (12)
Al4—Ni3—Gd1v71.91 (6)Al9ii—Al7—Gd1xxi69.06 (8)
Ni2—Ni3—Gd1v114.57 (3)Al9—Al7—Gd1xxi69.06 (8)
Gd1—Ni3—Gd1v79.18 (3)Al3xxii—Al7—Gd1xxi132.50 (7)
Al4xiii—Ni4—Al4xiv105.46 (11)Al3xxi—Al7—Gd1xxi63.35 (6)
Al4xiii—Ni4—Al4144.75 (4)Al3xxiii—Al7—Gd1xxi63.35 (6)
Al4xiv—Ni4—Al463.26 (9)Al3xx—Al7—Gd1xxi132.50 (7)
Al4xiii—Ni4—Al4ii63.26 (9)Ni1xxi—Al7—Gd1xx157.87 (12)
Al4xiv—Ni4—Al4ii144.75 (4)Ni1xx—Al7—Gd1xx88.88 (3)
Al4—Ni4—Al4ii105.46 (11)Al9ii—Al7—Gd1xx69.06 (8)
Al4xiii—Ni4—Al4iii63.26 (9)Al9—Al7—Gd1xx69.06 (8)
Al4xiv—Ni4—Al4iii144.75 (4)Al3xxii—Al7—Gd1xx63.35 (6)
Al4—Ni4—Al4iii144.75 (4)Al3xxi—Al7—Gd1xx132.50 (7)
Al4ii—Ni4—Al4iii63.26 (9)Al3xxiii—Al7—Gd1xx132.50 (7)
Al4xiii—Ni4—Al4i144.75 (4)Al3xx—Al7—Gd1xx63.35 (6)
Al4xiv—Ni4—Al4i63.26 (9)Gd1xxi—Al7—Gd1xx113.25 (12)
Al4—Ni4—Al4i63.26 (9)Ni3vii—Al8—Ni3vi159.0 (2)
Al4ii—Ni4—Al4i144.75 (4)Ni3vii—Al8—Ni2vi133.02 (16)
Al4iii—Ni4—Al4i105.46 (11)Ni3vi—Al8—Ni2vi67.99 (6)
Al4xiii—Ni4—Gd1xiii72.31 (6)Ni3vii—Al8—Ni2vii67.99 (6)
Al4xiv—Ni4—Gd1xiii72.31 (6)Ni3vi—Al8—Ni2vii133.02 (16)
Al4—Ni4—Gd1xiii72.44 (6)Ni2vi—Al8—Ni2vii65.02 (12)
Al4ii—Ni4—Gd1xiii72.45 (6)Ni3vii—Al8—Al1vii52.68 (6)
Al4iii—Ni4—Gd1xiii127.27 (5)Ni3vi—Al8—Al1vii114.62 (12)
Al4i—Ni4—Gd1xiii127.27 (5)Ni2vi—Al8—Al1vii135.91 (8)
Al4xiii—Ni4—Gd1i72.44 (6)Ni2vii—Al8—Al1vii99.15 (6)
Al4xiv—Ni4—Gd1i72.44 (6)Ni3vii—Al8—Al1vi114.62 (12)
Al4—Ni4—Gd1i127.27 (5)Ni3vi—Al8—Al1vi52.68 (6)
Al4ii—Ni4—Gd1i127.27 (5)Ni2vi—Al8—Al1vi99.15 (6)
Al4iii—Ni4—Gd1i72.31 (6)Ni2vii—Al8—Al1vi135.91 (8)
Al4i—Ni4—Gd1i72.31 (6)Al1vii—Al8—Al1vi117.31 (18)
Gd1xiii—Ni4—Gd1i120.002 (1)Ni3vii—Al8—Al1ix114.62 (12)
Al4xiii—Ni4—Gd1127.27 (5)Ni3vi—Al8—Al1ix52.68 (6)
Al4xiv—Ni4—Gd1127.27 (5)Ni2vi—Al8—Al1ix99.15 (6)
Al4—Ni4—Gd172.31 (6)Ni2vii—Al8—Al1ix135.91 (8)
Al4ii—Ni4—Gd172.30 (6)Al1vii—Al8—Al1ix62.69 (11)
Al4iii—Ni4—Gd172.44 (6)Al1vi—Al8—Al1ix85.28 (11)
Al4i—Ni4—Gd172.44 (6)Ni3vii—Al8—Al1viii52.68 (6)
Gd1xiii—Ni4—Gd1120.0Ni3vi—Al8—Al1viii114.62 (12)
Gd1i—Ni4—Gd1120.0Ni2vi—Al8—Al1viii135.91 (8)
Al10iv—Ni5—Al10xv120.0Ni2vii—Al8—Al1viii99.15 (6)
Al10iv—Ni5—Al10xvi120.0Al1vii—Al8—Al1viii85.28 (11)
Al10xv—Ni5—Al10xvi120.0Al1vi—Al8—Al1viii62.69 (11)
Al10iv—Ni5—Al572.45 (3)Al1ix—Al8—Al1viii117.31 (18)
Al10xv—Ni5—Al572.45 (3)Ni3vii—Al8—Gd279.50 (11)
Al10xvi—Ni5—Al5127.09 (7)Ni3vi—Al8—Gd279.50 (11)
Al10iv—Ni5—Al5xvii127.09 (7)Ni2vi—Al8—Gd2147.49 (6)
Al10xv—Ni5—Al5xvii72.45 (3)Ni2vii—Al8—Gd2147.49 (6)
Al10xvi—Ni5—Al5xvii72.45 (3)Al1vii—Al8—Gd258.66 (9)
Al5—Ni5—Al5xvii144.90 (6)Al1vi—Al8—Gd258.66 (9)
Al10iv—Ni5—Al5vi72.45 (3)Al1ix—Al8—Gd258.66 (9)
Al10xv—Ni5—Al5vi127.09 (7)Al1viii—Al8—Gd258.66 (9)
Al10xvi—Ni5—Al5vi72.45 (3)Ni2vii—Al9—Ni2vi64.76 (14)
Al5—Ni5—Al5vi62.97 (11)Ni2vii—Al9—Al7v123.27 (7)
Al5xvii—Ni5—Al5vi144.90 (6)Ni2vi—Al9—Al7v123.27 (7)
Al10iv—Ni5—Al5v72.45 (3)Ni2vii—Al9—Al7123.27 (7)
Al10xv—Ni5—Al5v72.45 (3)Ni2vi—Al9—Al7123.27 (7)
Al10xvi—Ni5—Al5v127.09 (7)Al7v—Al9—Al799.0 (2)
Al5—Ni5—Al5v105.83 (14)Ni2vii—Al9—Al656.64 (11)
Al5xvii—Ni5—Al5v62.97 (11)Ni2vi—Al9—Al656.64 (11)
Al5vi—Ni5—Al5v144.90 (6)Al7v—Al9—Al6179.9 (2)
Al10iv—Ni5—Al5ix72.45 (3)Al7—Al9—Al681.15 (9)
Al10xv—Ni5—Al5ix127.09 (7)Ni2vii—Al9—Al6v56.64 (11)
Al10xvi—Ni5—Al5ix72.45 (3)Ni2vi—Al9—Al6v56.64 (11)
Al5—Ni5—Al5ix144.90 (6)Al7v—Al9—Al6v81.14 (9)
Al5xvii—Ni5—Al5ix62.97 (11)Al7—Al9—Al6v179.9 (2)
Al5vi—Ni5—Al5ix105.82 (14)Al6—Al9—Al6v98.7 (2)
Al5v—Ni5—Al5ix62.97 (11)Ni2vii—Al9—Gd1xxiv63.63 (4)
Al10iv—Ni5—Al5xii127.09 (7)Ni2vi—Al9—Gd1xxiv114.49 (13)
Al10xv—Ni5—Al5xii72.45 (3)Al7v—Al9—Gd1xxiv63.72 (4)
Al10xvi—Ni5—Al5xii72.45 (3)Al7—Al9—Gd1xxiv117.75 (11)
Al5—Ni5—Al5xii62.97 (11)Al6—Al9—Gd1xxiv116.23 (11)
Al5xvii—Ni5—Al5xii105.82 (14)Al6v—Al9—Gd1xxiv62.30 (4)
Al5vi—Ni5—Al5xii62.97 (11)Ni2vii—Al9—Gd1xx114.49 (13)
Al5v—Ni5—Al5xii144.90 (6)Ni2vi—Al9—Gd1xx63.63 (4)
Al5ix—Ni5—Al5xii144.90 (6)Al7v—Al9—Gd1xx117.75 (11)
Ni3ii—Al1—Ni3111.38 (12)Al7—Al9—Gd1xx63.72 (4)
Ni3ii—Al1—Ni1110.81 (7)Al6—Al9—Gd1xx62.30 (4)
Ni3—Al1—Ni1110.81 (7)Al6v—Al9—Gd1xx116.23 (11)
Ni3ii—Al1—Al258.17 (6)Gd1xxiv—Al9—Gd1xx177.98 (18)
Ni3—Al1—Al258.17 (7)Ni2vii—Al9—Gd1xxi63.63 (4)
Ni1—Al1—Al2149.71 (13)Ni2vi—Al9—Gd1xxi114.49 (13)
Ni3ii—Al1—Al3126.96 (11)Al7v—Al9—Gd1xxi117.75 (11)
Ni3—Al1—Al354.40 (6)Al7—Al9—Gd1xxi63.72 (4)
Ni1—Al1—Al356.47 (7)Al6—Al9—Gd1xxi62.30 (4)
Al2—Al1—Al3105.17 (10)Al6v—Al9—Gd1xxi116.23 (11)
Ni3ii—Al1—Al3ii54.40 (6)Gd1xxiv—Al9—Gd1xxi73.376 (19)
Ni3—Al1—Al3ii126.96 (11)Gd1xx—Al9—Gd1xxi106.59 (2)
Ni1—Al1—Al3ii56.47 (7)Ni2vii—Al9—Gd1xxv114.49 (13)
Al2—Al1—Al3ii105.17 (10)Ni2vi—Al9—Gd1xxv63.63 (4)
Al3—Al1—Al3ii91.49 (11)Al7v—Al9—Gd1xxv63.72 (4)
Ni3ii—Al1—Al8vi119.73 (13)Al7—Al9—Gd1xxv117.75 (11)
Ni3—Al1—Al8vi51.45 (5)Al6—Al9—Gd1xxv116.23 (11)
Ni1—Al1—Al8vi129.46 (10)Al6v—Al9—Gd1xxv62.30 (4)
Al2—Al1—Al8vi68.78 (10)Gd1xxiv—Al9—Gd1xxv106.59 (2)
Al3—Al1—Al8vi91.37 (6)Gd1xx—Al9—Gd1xxv73.376 (19)
Al3ii—Al1—Al8vi173.83 (13)Gd1xxi—Al9—Gd1xxv177.98 (18)
Ni3ii—Al1—Al8xi51.45 (5)Ni5xxvi—Al10—Ni1xx107.55 (8)
Ni3—Al1—Al8xi119.73 (13)Ni5xxvi—Al10—Ni1xxv107.55 (8)
Ni1—Al1—Al8xi129.46 (10)Ni1xx—Al10—Ni1xxv104.44 (8)
Al2—Al1—Al8xi68.78 (10)Ni5xxvi—Al10—Ni1xxiv107.55 (8)
Al3—Al1—Al8xi173.83 (13)Ni1xx—Al10—Ni1xxiv144.91 (17)
Al3ii—Al1—Al8xi91.37 (6)Ni1xxv—Al10—Ni1xxiv64.46 (6)
Al8vi—Al1—Al8xi85.28 (11)Ni5xxvi—Al10—Ni1xxi107.55 (8)
Ni3ii—Al1—Gd2vi165.71 (10)Ni1xx—Al10—Ni1xxi64.46 (6)
Ni3—Al1—Gd2vi81.48 (3)Ni1xxv—Al10—Ni1xxi144.91 (17)
Ni1—Al1—Gd2vi68.11 (7)Ni1xxiv—Al10—Ni1xxi104.44 (8)
Al2—Al1—Gd2vi129.97 (6)Ni5xxvi—Al10—Al3xxi138.55 (7)
Al3—Al1—Gd2vi65.21 (6)Ni1xx—Al10—Al3xxi97.30 (10)
Al3ii—Al1—Gd2vi123.33 (11)Ni1xxv—Al10—Al3xxi97.30 (10)
Al8vi—Al1—Gd2vi62.84 (8)Ni1xxiv—Al10—Al3xxi54.62 (6)
Al8xi—Al1—Gd2vi117.37 (9)Ni1xxi—Al10—Al3xxi54.62 (6)
Ni3ii—Al1—Gd2xi81.48 (3)Ni5xxvi—Al10—Al3xx138.55 (7)
Ni3—Al1—Gd2xi165.71 (10)Ni1xx—Al10—Al3xx54.62 (6)
Ni1—Al1—Gd2xi68.11 (7)Ni1xxv—Al10—Al3xx54.62 (6)
Al2—Al1—Gd2xi129.97 (6)Ni1xxiv—Al10—Al3xx97.30 (10)
Al3—Al1—Gd2xi123.33 (11)Ni1xxi—Al10—Al3xx97.30 (10)
Al3ii—Al1—Gd2xi65.21 (6)Al3xxi—Al10—Al3xx82.90 (14)
Al8vi—Al1—Gd2xi117.37 (9)Ni5xxvi—Al10—Al5xxvii53.80 (8)
Al8xi—Al1—Gd2xi62.84 (8)Ni1xx—Al10—Al5xxvii53.75 (6)
Gd2vi—Al1—Gd2xi85.10 (8)Ni1xxv—Al10—Al5xxvii118.42 (7)
Ni3ii—Al1—Gd165.22 (6)Ni1xxiv—Al10—Al5xxvii161.33 (15)
Ni3—Al1—Gd165.22 (6)Ni1xxi—Al10—Al5xxvii83.12 (5)
Ni1—Al1—Gd187.10 (8)Al3xxi—Al10—Al5xxvii137.33 (3)
Al2—Al1—Gd162.60 (9)Al3xx—Al10—Al5xxvii98.63 (8)
Al3—Al1—Gd163.01 (7)Ni5xxvi—Al10—Al5xxv53.80 (8)
Al3ii—Al1—Gd163.01 (7)Ni1xx—Al10—Al5xxv161.33 (15)
Al8vi—Al1—Gd1113.71 (8)Ni1xxv—Al10—Al5xxv83.12 (5)
Al8xi—Al1—Gd1113.71 (8)Ni1xxiv—Al10—Al5xxv53.76 (6)
Gd2vi—Al1—Gd1128.00 (5)Ni1xxi—Al10—Al5xxv118.42 (7)
Gd2xi—Al1—Gd1128.00 (5)Al3xxi—Al10—Al5xxv98.63 (8)
Ni2—Al2—Ni2ii109.44 (11)Al3xx—Al10—Al5xxv137.33 (3)
Ni2—Al2—Ni366.74 (4)Al5xxvii—Al10—Al5xxv107.60 (15)
Ni2ii—Al2—Ni3159.06 (12)Ni5xxvi—Al10—Al5xx53.80 (8)
Ni2—Al2—Ni3ii159.07 (12)Ni1xx—Al10—Al5xx83.12 (5)
Ni2ii—Al2—Ni3ii66.74 (4)Ni1xxv—Al10—Al5xx161.33 (15)
Ni3—Al2—Ni3ii108.97 (11)Ni1xxiv—Al10—Al5xx118.42 (7)
Ni2—Al2—Al4ii138.44 (13)Ni1xxi—Al10—Al5xx53.76 (6)
Ni2ii—Al2—Al4ii58.42 (7)Al3xxi—Al10—Al5xx98.63 (8)
Ni3—Al2—Al4ii138.55 (14)Al3xx—Al10—Al5xx137.33 (3)
Ni3ii—Al2—Al4ii58.76 (7)Al5xxvii—Al10—Al5xx52.46 (14)
Ni2—Al2—Al458.42 (7)Al5xxv—Al10—Al5xx84.93 (8)
Ni2ii—Al2—Al4138.44 (13)Ni5xxvi—Al10—Al5xxviii53.80 (8)
Ni3—Al2—Al458.76 (7)Ni1xx—Al10—Al5xxviii118.42 (7)
Ni3ii—Al2—Al4138.56 (14)Ni1xxv—Al10—Al5xxviii53.75 (6)
Al4ii—Al2—Al4102.34 (14)Ni1xxiv—Al10—Al5xxviii83.12 (5)
Ni2—Al2—Al1108.72 (8)Ni1xxi—Al10—Al5xxviii161.33 (15)
Ni2ii—Al2—Al1108.72 (8)Al3xxi—Al10—Al5xxviii137.33 (3)
Ni3—Al2—Al156.84 (6)Al3xx—Al10—Al5xxviii98.63 (8)
Ni3ii—Al2—Al156.84 (6)Al5xxvii—Al10—Al5xxviii84.93 (8)
Al4ii—Al2—Al1112.80 (10)Al5xxv—Al10—Al5xxviii52.46 (14)
Al4—Al2—Al1112.81 (10)Al5xx—Al10—Al5xxviii107.60 (15)
Ni2—Al2—Al6vi56.42 (6)Ni5xxvi—Al10—Gd2xxvii77.36 (6)
Ni2ii—Al2—Al6vi56.41 (6)Ni1xx—Al10—Gd2xxvii62.97 (2)
Ni3—Al2—Al6vi110.33 (8)Ni1xxv—Al10—Gd2xxvii62.97 (2)
Ni3ii—Al2—Al6vi110.33 (8)Ni1xxiv—Al10—Gd2xxvii125.90 (3)
Al4ii—Al2—Al6vi110.96 (10)Ni1xxi—Al10—Gd2xxvii125.90 (2)
Al4—Al2—Al6vi110.96 (10)Al3xxi—Al10—Gd2xxvii144.09 (12)
Al1—Al2—Al6vi107.04 (13)Al3xx—Al10—Gd2xxvii61.18 (6)
Ni2—Al2—Gd1124.32 (6)Al5xxvii—Al10—Gd2xxvii55.91 (7)
Ni2ii—Al2—Gd1124.32 (6)Al5xxv—Al10—Gd2xxvii107.58 (10)
Ni3—Al2—Gd167.62 (6)Al5xx—Al10—Gd2xxvii107.58 (10)
Ni3ii—Al2—Gd167.62 (6)Al5xxviii—Al10—Gd2xxvii55.91 (7)
Al4ii—Al2—Gd171.41 (9)
Symmetry codes: (i) y+1, xy+1, z; (ii) x, y, z+1; (iii) y+1, xy+1, z+1; (iv) x+1, x+y+1, z; (v) x, y, z1; (vi) y, x, z; (vii) x+y, x, z; (viii) x+y, x, z+1; (ix) y, x, z1; (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, x1, z; (xvi) x1, y, z; (xvii) x, x+y, z1; (xviii) x+1, x+y+1, z1; (xix) y, x1, z+1; (xx) x+1, x+y, z; (xxi) y+1, xy, z; (xxii) x+1, x+y, z+1; (xxiii) y+1, xy, z+1; (xxiv) y+1, xy, z1; (xxv) x+1, x+y, z1; (xxvi) x+1, y, z; (xxvii) y+1, x, z; (xxviii) y+1, x, z1.

Experimental details

Crystal data
Chemical formulaGd3Ni7Al14
Mr1260.44
Crystal system, space groupHexagonal, P62m
Temperature (K)293
a, c (Å)17.966 (5), 4.0448 (6)
V3)1130.6 (7)
Z3
Radiation typeMo Kα
µ (mm1)22.31
Crystal size (mm)0.10 × 0.02 × 0.02
Data collection
DiffractometerEnraf–Nonius CAD-4T
diffractometer
Absorption correctionMulti-scan
(SORTAV; Blessing, 1995)
Tmin, Tmax0.407, 0.799
No. of measured, independent and
observed [I > 2σ(I)] reflections
8229, 1834, 1575
Rint0.066
(sin θ/λ)max1)0.807
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.023, 0.031, 0.81
No. of reflections1834
No. of parameters81
Δρmax, Δρmin (e Å3)1.30, 1.59
Absolute structureFlack x parameter determined using 647 quotients [(I+) - (I-)]/[(I+) + (I-)] (Parsons et al., 2013)
Absolute structure parameter0.040 (17)

Computer programs: CAD-4 EXPRESS (Enraf–Nonius, 1994), XCAD4 (Harms & Wocadlo, 1995), SHELXL97 (Sheldrick, 2008), SHELXL2014 (Sheldrick, 2015), ATOMS (Dowty, 1999).

 

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