Single-crystal structure determination of two new ternary bis­muthides: Rh6Mn5Bi18 and RhMnBi3

Kainzbauer, P.; Richter, K.W.; Effenberger, H.S.; Marker, M.C.J.; Ipser, H.

doi:10.1107/S2053229618009087

research papers

STRUCTURAL
CHEMISTRY

ISSN: 2053-2296

Volume 74| Part 7| July 2018| Pages 863-869

https://doi.org/10.1107/S2053229618009087

Open

access

Single-crystal structure determination of two new ternary bismuthides: Rh₆Mn₅Bi₁₈ and RhMnBi₃

Peter Kainzbauer,^a Klaus W. Richter,^a ^* Herta Silvia Effenberger,^b Martin C. J. Marker ^a and Herbert Ipser ^a ^*

^aDepartment of Inorganic Chemistry – Functional Materials, University of Vienna, Faculty of Chemistry, Althanstrasse 14, Vienna 1090, Austria, and ^bInstitute of Mineralogy and Crystallography, University of Vienna, Althanstrasse 14, Vienna 1090, Austria
^*Correspondence e-mail: klaus.richter@univie.ac.at, herbert.ipser@univie.ac.at

Edited by A. L. Spek, Utrecht University, The Netherlands (Received 18 April 2018; accepted 21 June 2018; online 28 June 2018)

A study of the ternary Rh–Mn–Bi phase diagram revealed the existence of two new ternary bismuthides, viz. hexarhodium pentamanganese octadecabismuthide (Rh₆Mn₅Bi₁₈) and rhodium manganese tribismuthide (RhMnBi₃). Their crystal structures represent new structure types. Rh₆Mn₅Bi₁₈, with a Wyckoff sequence a f2 g2 i5, crystallizes in the tetragonal system (space group P4₂/mnm; Pearson symbol tP58), and RhMnBi₃, with a Wyckoff sequence a c g i q, crystallizes in the orthorhombic system (Cmmm; oS20). In the Rh₆Mn₅Bi₁₈ structure, the transition metal atoms are linked into ribbon-like structural units aligned along the [001] direction, whereas planar sheets are formed in RhMnBi₃. In both crystal structures, the units formed by the transition metal atoms are enveloped by Bi atoms, which themselves form a loosely bound network. The linkage results in a layer structure for RhMnBi₃, while in the case of Rh₆Mn₅Bi₁₈, a three-dimensional network is formed; the latter, however, contains several areas where Bi⋯Bi distances suggest van der Waals interactions. Both phases under discussion have analogous structural motifs.

Keywords: Rh₆Mn₅Bi₁₈; RhMnBi₃; crystal structure; Rh-Mn-Bi phase diagram; ternary bismuthide; intermetallic; pnictide.

CCDC references: 1850893; 1850892

1. Introduction

For decades, there has been an ongoing search for ferromagnetic materials free of rare earth elements. One promising candidate is the intermetallic phase α-BiMn; unfortunately, it has not been possible to synthesize this phase as a single-phase bulk material in spite of intensive research (e.g. Liu et al., 2004 ; Rama Rao et al., 2013 ; Cui et al., 2014 ; Chen et al., 2015 ; Marker et al., 2018 ). A possible approach to circumvent these problems was considered to be the addition of a third component, e.g. Rh, which forms an intermetallic phase with Bi that is isotypic with α-BiMn (Ross & Hume-Rothery, 1962 ; Kainzbauer et al., 2018 ).

Street et al. (1974 ) identified a ferromagnetic compound, i.e. Mn₅Rh₂Bi₄ (cubic, Fm $[\overline{3}]$ m), with a Curie temperature of 266 K. A similar observation was made by Taufour et al. (2015 ), who described the ferromagnetic compound Mn_1.05Rh_0.02Bi, with a Curie temperature below 416 K. Furthermore, Suits (1975 ) discovered ferromagnetism in Bi-substituted RhMn with the composition RhMn_0.8Bi_0.2. Based on these observations, a systematic study of the ternary Rh–Mn–Bi system at different temperatures was considered of interest, with the focus on finding additional intermetallic phases which might possibly exhibit ferromagnetism. The synthesized samples were checked by powder X-ray diffraction (PXRD) investigations. As a result of this ongoing research, the phases hexarhodium pentamanganese octadecabismuthide (Rh₆Mn₅Bi₁₈) and rhodium manganese tribismuthide (RhMnBi₃) were detected; admittedly, they are not ferromagnetic.

A literature survey of the ternary Rh–M–Bi systems (M = 3d transition metal) shows that they are relatively unexplored. Except for the aforementioned phases, only a handful of compounds are known. Examples are RhNiBi₂ (Zhuravlev et al., 1962 ) and RhNiBi₆ (Fjellvåg & Furuseth, 1987 ). It may be of particular interest that Rh₆Mn₅Bi₁₈ is probably one of the first reported ternary manganese pnictide phases, with a network formed by Bi atoms where alkaline or rare earth metal elements are absent. Further examples are known to crystallize in the cubic structure type Cu₄Mn₃Bi₄ (Street et al., 1974; Szytula et al., 1981 ).

2. Experimental

2.1. Synthesis and crystallization

Bulk samples were prepared from pure element pieces of Bi (99.999%, ASARCO, New Jersey, USA) and Mn (99.95%, Alfa Aesar, Johnson Matthey Chemicals, Karlsruhe, Germany), and from Rh powder (99.95% ÖGUSSA, Austria). Except for Rh, the metals were pulverized manually and sieved (grain size <0.09 mm). For the Rh₆Mn₅Bi₁₈ phase, 76.40 mg Rh, 33.81 mg Mn and 389.26 mg Bi in powder form were mixed, and for RhMnBi₃, the amounts were 95.14 mg Rh, 67.50 mg Mn and 838.14 mg Bi; in both cases, the powder mixtures were pressed into pellets in a 5 mm pressing cylinder under a load of 20–25 kN. The bulk samples for the Rh₆Mn₅Bi₁₈ phase were sealed in an evacuated silica-glass tube and melted over an oxyhydrogen flame under shaking, with optical control of the melting process. For the alloying process, the samples were heated quickly to 1373 K, cooled over a period of 5 d to 613 K and annealed at this temperature for two weeks. The bulk samples for the RhMnBi₃ phase were prepared as sinter pellets. The pellet was sealed in an evacuated silica-glass tube with a small alumina plate at the bottom and covered with an inverted closed silica-glass tube to reduce the gas volume (annealing time of four months). After the annealing process at 613 K in a muffle furnace (Nabertherm, Germany, temperature accuracy ±5 K), all samples were quenched in cold water.

Small single crystals of Rh₆Mn₅Bi₁₈ and RhMnBi₃ were obtained in several inhomogeneous bulk samples. The target compounds had a metallic luster and were selected manually using an optical stereomicroscope. Adherent bismuth was removed with a scalpel. The entire preparation process was performed in an Ar-filled glove-box (Labmaster SP MBraun, H₂O and O₂ levels below 0.1 ppm). Differential thermal analysis was performed on a DSC 404F1 Pegasus (Netzsch, Selb, Germany) and showed that the Rh₆Mn₅Bi₁₈ compound is stable up to 730 K. Phase identification was performed under ambient conditions by PXRD on a Bruker D8 Advance diffractometer in Bragg–Brentano pseudo-focusing geometry, using Cu Kα radiation and a LynxEye^® one-dimensional silicon strip detector. Energy-dispersive X-ray spectroscopy analyses on a scanning electron microscope (Zeiss Supra 55 VP) confirmed that the elemental compositions corresponded to those from the single-crystal X-ray structure determination. Morphologically, both new bismuthides are acicular and flaky.

2.2. Refinement

Crystal data, data collection and structure refinement details are summarized in Table 1. A number of crystal chips were checked for their scattering behaviour and, in particular, to exclude admixtures as adherent bismuth. Crystals of sufficient quality were used for collection of the intensity data in the full reciprocal sphere. To minimize absorption effects, the crystals were mounted approximately parallel to the φ axes with their longest extension. As the crystal structures are composed of structural units only bonded by weak Bi—Bi bonds, extensive cleavage of the crystals is evident. As a consequence of this behaviour, only a crystal of limited quality could be found for Rh₆Mn₅Bi₁₈, even though a large number of crystals was checked by single-crystal X-ray diffraction; thus, the R_int value and, consequently, the structure refinements remained poor. Nevertheless, the structure type could be clearly established.

Table 1
Experimental details

	Rh₆Mn₅Bi₁₈	RhMnBi₃
Crystal data
Chemical formula	Rh₆Mn₅Bi₁₈	RhMnBi₃
M_r	4653.80	784.79
Crystal system, space group	Tetragonal, P4₂/mnm	Orthorhombic, Cmmm
Temperature (K)	293	293
a, b, c (Å)	18.526 (3), 18.526 (3), 4.1722 (11)	8.885 (3), 13.696 (6), 4.1310 (12)
α, β, γ (°)	90, 90, 90	90, 90, 90
V (Å³)	1432.0 (6)	502.7 (3)
Z	2	4
Radiation type	Mo Kα	Mo Kα
μ (mm⁻¹)	115.57	110.13
Crystal size (mm)	0.16 × 0.03 × 0.02	0.10 × 0.05 × 0.03

Data collection
Diffractometer	Nonius KappaCCD	Nonius KappaCCD
Absorption correction	Multi-scan (SCALEPACK; Otwinowski & Minor, 1997 )	Multi-scan (SCALEPACK; Otwinowski & Minor, 1997)
T_min, T_max	0.009, 0.011	0.003, 0.005
No. of measured, independent and observed [I > 2σ(I)] reflections	21380, 1784, 1297	3699, 667, 522
R_int	0.169	0.141
(sin θ/λ)_max (Å⁻¹)	0.803	0.806

Refinement
R[F² > 2σ(F²)], wR(F²), S	0.044, 0.088, 1.05	0.094, 0.257, 1.19
No. of reflections	1784	667
No. of parameters	50	21
Δρ_max, Δρ_min (e Å⁻³)	4.24, −3.66	11.68, −8.87
Computer programs: COLLECT (Hooft, 1999 ), DENZO and SCALEPACK (Otwinowski & Minor, 1997), SHELXS97 (Sheldrick, 2008 ), SHELXL2014 (Sheldrick, 2015 ) and CrystalMaker (CrystalMaker, 2009 ).

A careful inspection of the reciprocal space gave no evidence for any superstructure reflections; twinning was not recognized. As mixed occupation of individual atom positions was not evident and the anisotropic displacement parameters were not conspicuous, a violation of centrosymmetry can be excluded within the accuracy of the structure refinements. Due to the high mosaicity of both samples, their extinction is negligible. Complex neutral atomic scattering functions were applied (Prince, 2006 ). The program STRUCTURE TIDY (Gelato & Parthé, 1987 ) was used to standardize all atomic coordinates.

3. Results and discussion

As mentioned above, only a few pnictides are known with Rh and a second 3d transition metal as constituents (Street et al., 1974; Szytula et al., 1981; Huang et al., 2015 ). The title phases are probably also the only reported ternary bismuthides containing a platinum group element and Mn, which adopt new structure types.

Rh₆Mn₅Bi₁₈ crystallizes in the tetragonal space group P4₂/mnm (Pearson symbol tP58). The asymmetric unit contains ten atoms, which are listed together with their Wyckoff letters and site symmetries in Table 2. Fig. 1 shows the whole crystal structure and the main structural element of Rh₆Mn₅Bi₁₈ formed by extensive linkage of the Mn and Rh atoms. It is characterized by double chains running parallel to [001], each with the formal composition Rh₃Mn₂. They are linked by an additional Mn1 atom to form ribbons with a linear Rh1—Mn1—Rh1 configuration. The central part of the chains consists of the atoms Rh2, Mn2 and Mn3, the Rh1 atom points towards the linking atom Mn1, and the Mn1 atom itself is surrounded in a bicapped square-prismatic coordination (CN = 10, position 2a) (see Fig. 2a and Table 3). The ribbons are surrounded by Bi atoms, with Rh/Mn—Bi bond distances > 2.814 Å. All Bi atoms are exclusively bonded to one Rh₃Mn₂—Mn1—Rh₃Mn₂ ribbon. The Bi atoms themselves form an extended three-dimensional anionic network. The Bi—Bi bonds are longer than 3.316 Å; although Bi—Bi distances in the network were found up to 3.5808 (12) Å, which is slightly longer than the interlayer Bi—Bi distance in native Bi under ambient conditions (3.529 Å; Donohue, 1974 ), bonding interactions are still implicated. In addition to the interatomic bonds, weak van der Waals Bi4⋯Bi4 [3.920 (2) Å] and Bi2⋯Bi5 [3.848 (1) Å] interactions contribute to the cohesion of the network. These longer distances are not shown in Fig. 1(a). The coordination spheres around all the transition-metal positions are depicted in Fig. 2.

Table 2
Fractional atomic coordinates, Wyckoff letter and site symmetry of Rh₆Mn₅Bi₁₈

	Wyckoff letter	Site symmetry	x	y	z
Bi1	4g	m.2m	0.17112 (3)	0.82888 (3)	0
Bi2	8i	m..	0.08340 (3)	0.25924 (3)	0
Bi3	8i	m..	0.37210 (3)	0.50115 (3)	0
Bi4	8i	m..	0.08560 (4)	0.56218 (4)	0
Bi5	8i	m..	0.20740 (4)	0.41210 (4)	0
Rh1	4f	m.2m	0.10090 (7)	0.10090 (7)	0
Rh2	8i	m..	0.18578 (7)	0.67667 (7)	0
Mn1	2a	m.mm	0	0	0
Mn2	4f	m.2m	0.24406 (14)	0.24406 (14)	0
Mn3	4g	m.2m	0.33193 (14)	0.66807 (14)	0

Table 3
Selected geometric parameters (Å, °) for Rh₆Mn₅Bi₁₈

Rh1—Mn1	2.6435 (19)	Rh2—Mn2ⁱⁱ	2.7568 (10)
Rh1—Mn3ⁱ	2.729 (3)	Mn2—Mn3ⁱⁱⁱ	2.884 (4)
Rh2—Mn3	2.712 (3)

Mn1—Rh1—Mn3ⁱⁱⁱ	130.15 (6)	Rh2^v—Mn3—Mn2ⁱⁱ	58.93 (7)
Mn3ⁱ—Rh1—Mn3ⁱⁱⁱ	99.69 (13)	Rh1ⁱⁱ—Mn3—Mn2ⁱⁱ	83.82 (7)
Rh1—Mn1—Rh1^iv	180.00 (8)	Rh1^vi—Mn3—Mn2ⁱⁱ	176.49 (13)
Rh2^v—Mn3—Rh2	83.27 (12)	Rh1^vi—Mn3—Mn2^vi	83.82 (7)
Rh2^v—Mn3—Rh1ⁱⁱ	118.81 (3)	Mn2ⁱⁱ—Mn3—Mn2^vi	92.67 (15)
Rh1ⁱⁱ—Mn3—Rh1^vi	99.69 (13)
Symmetry codes: (i) $[y-{\script{1\over 2}}, -x+{\script{1\over 2}}, -z+{\script{1\over 2}}]$ ; (ii) $[-y+{\script{1\over 2}}, x+{\script{1\over 2}}, z+{\script{1\over 2}}]$ ; (iii) $[y-{\script{1\over 2}}]$ , $[-x+{\script{1\over 2}}, -z-{\script{1\over 2}}]$ ; (iv) -x, -y, -z; (v) -y+1, -x+1, z; (vi) $[-y+{\script{1\over 2}}, x+{\script{1\over 2}}, z-{\script{1\over 2}}]$ .

Figure 1
(a) The crystal structure of Rh₆Mn₅Bi₁₈; the view is slightly inclined to the [001] direction. (b) The Rh₆Mn₅ ribbons (distances and angles are listed in Table 3

). (c) A clinographic projection of the central parts of the ribbons (atoms Bi2, Bi3, Rh1, Mn1 and Mn3). Colour code: green represents Bi, blue Mn and red Rh atoms.

Figure 2
A schematic representation of the distinct atomic coordination spheres in the Rh₆Mn₅Bi₁₈ structure. All neighbours within 3.2 Å are shown. (a) The bicapped square prism around the Mn1 atom [CN (coordination number) = 10]. (b) The distorted cuboctahedron around the Mn2 atom (CN = 12). (c) The distorted cuboctahedron around the Mn3 atom (CN = 12). (d) The tricapped trigonal prism (alternatively monocapped tetragonal antiprism) around the Rh1 atom (CN = 9). (e) The capped square antiprism (alternatively tricapped trigonal prism) around the Rh2 atom (CN = 9). The colour coding is as in Fig. 1

A characteristic feature of the ribbons are eight-membered rings formed by two Mn1 and two Mn3 atoms, as well as four Rh1 atoms. In addition, four-membered rings are built by two Mn3, one Mn2 and one Rh1 atom. These two kinds of rings are planar by space-group symmetry. Only the Rh2 atoms are, respectively, above and below the layers; see Fig. 1(b). These structural units are the common structural motif of the two title compounds. However, tetragonal symmetry causes a herring-bone pattern of these one-dimensional structural units along [001] in Rh₆Mn₅Bi₁₈, whereas they are linked into a two-dimensional arrangement in RhMnBi₃ (see below).

RhMnBi₃ crystallizes in the orthorhombic space group Cmmm (Pearson symbol oS20). Like Rh₆Mn₅Bi₁₈, RhMnBi₃ represents a new structure type and exhibits a layer structure consisting of planar Mn–Rh sheets parallel to (010) surrounded by Bi atoms, as presented in detail in Fig. 3. Fig. 3(a) shows the crystal structure along c, clearly indicating the layering. Bi—Bi bond distances between the layers are mainly in the range of van der Waals interactions, except for the Bi2⋯Bi2 distances of 3.590 (3) Å, which are slightly longer than the interlayer distance in native Bi (3.529 Å), but are still assumed to exhibit weak bonding interactions. The planar nets formed by the transition metals shown in Fig. 3(b) consist of eight-membered rings of alternating Mn and Rh atoms, similar to the motif shown in Fig. 1(b). The coordination spheres around all the transition-metal positions are depicted in Fig. 4.

Figure 3
(a) The crystal structure of RhMnBi₃, viewed approximately parallel to [001]. (b) The exactly planar Mn–Rh nets; the view is slightly inclined to the b direction (distances and angles are listed in Table 5

). (c) A clinographic projection of the main structural elements parallel to [001]. The colour coding is as in Fig. 1

Figure 4
A schematic representation of different atomic coordination spheres in the RhMnBi₃ structure, showing all neighbouring atoms up to a distance of 3.3 Å. (a) The monocapped square antiprism around the Rh1 atom (CN = 9). (b) The distorted cuboctahedron around the Mn1 atom (CN = 12). (c) The bicapped square prism around the Mn2 atom (CN = 10). The colour coding is as in Fig. 1

The asymmetric unit of the structure of RhMnBi₃ itself contains five atoms, which are listed together with their Wyckoff letters and site symmetries in Table 4.

Table 4
Fractional atomic coordinates, Wyckoff letter and site symmetry of RhMnBi₃

	Wyckoff letter	Site symmetry	x	y	z
Bi1	4i	m2m	0	0.33689 (14)	0
Bi2	8q	..m	0.19449 (14)	0.12399 (10)	½
Mn1	2c	mmm	½	0	½
Mn2	2a	mmm	0	0	0
Rh1	4g	2mm	0.3016 (4)	0	0

Finally, Fig. 5 illustrates clearly the relationship between the structures of Rh₆Mn₅Bi₁₈ and RhMnBi₃.

Table 5
Selected geometric parameters (Å, °) for RhMnBi₃

Mn1—Rh1	2.715 (2)	Mn2—Rh1	2.680 (4)

Rh1ⁱ—Mn1—Rh1ⁱⁱ	99.05 (12)	Rh1ⁱⁱ—Mn1—Rh1	80.95 (12)
Rh1ⁱ—Mn1—Rh1ⁱⁱⁱ	80.95 (12)	Mn2—Rh1—Mn1	130.48 (6)
Rh1ⁱ—Mn1—Rh1	180.0
Symmetry codes: (i) -x+1, -y, -z+1; (ii) -x+1, -y, -z; (iii) x, y, z+1.

Figure 5
Comparison of the similar structural motif in the two new bismuthides under discussion. (a) In Rh₆Mn₅Bi₁₈, the motif consists of Bi2, Bi3, Mn2, Mn3 and Rh1 atoms. (b) In RhMnBi₃, all distinct atom positions listed in Table 4

are included, and the motif is repeated infinitely forming two-dimensional layers (cf. Fig. 3

). The colour coding is as in Fig. 1

Supporting information

CCDC references: 1850893; 1850892

Crystal structure: contains datablocks Rh6Mn5Bi18, RhMnBi3, global. DOI: https://doi.org/10.1107/S2053229618009087/sk3690sup1.cif

Structure factors: contains datablock Rh6Mn5Bi18. DOI: https://doi.org/10.1107/S2053229618009087/sk3690Rh6Mn5Bi18sup3.hkl

Structure factors: contains datablock RhMnBi3. DOI: https://doi.org/10.1107/S2053229618009087/sk3690RhMnBi3sup4.hkl

Computing details top

For both structures, data collection: COLLECT (Hooft, 1999); cell refinement: DENZO and SCALEPACK (Otwinowski & Minor, 1997; data reduction: DENZO and SCALEPACK (Otwinowski & Minor, 1997; program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL2014 (Sheldrick, 2015); molecular graphics: CrystalMaker (CrystalMaker, 2009); software used to prepare material for publication: SHELXL2014 (Sheldrick, 2015).

Hexarhodium pentamanganese octadecabismuthide (Rh6Mn5Bi18) top

Crystal data top

Rh₆Mn₅Bi₁₈	D_x = 10.793 Mg m⁻³
M_r = 4653.80	Mo Kα radiation, λ = 0.71073 Å
Tetragonal, P4₂/mnm	Cell parameters from 21380 reflections
a = 18.526 (3) Å	θ = 3–34.8°
c = 4.1722 (11) Å	µ = 115.57 mm⁻¹
V = 1432.0 (6) Å³	T = 293 K
Z = 2	Needle like crystal, gray
F(000) = 3778	0.16 × 0.03 × 0.02 mm

Data collection top

Nonius KappaCCD diffractometer	1297 reflections with I > 2σ(I)
Radiation source: Nonius	R_int = 0.169
ω scans	θ_max = 34.8°, θ_min = 3.1°
Absorption correction: multi-scan	h = −29→29
T_min = 0.009, T_max = 0.011	k = −29→29
21380 measured reflections	l = −6→6
1784 independent reflections

Refinement top

Refinement on F²	50 parameters
Least-squares matrix: full	0 restraints
R[F² > 2σ(F²)] = 0.044	w = 1/[σ²(F_o²) + (0.013P)² + 93.P] where P = (F_o² + 2F_c²)/3
wR(F²) = 0.088	(Δ/σ)_max = 0.001
S = 1.05	Δρ_max = 4.24 e Å⁻³
1784 reflections	Δρ_min = −3.66 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
Bi1	0.17112 (3)	0.82888 (3)	0.0000	0.0212 (2)
Bi2	0.08340 (3)	0.25924 (3)	0.0000	0.01802 (14)
Bi3	0.37210 (3)	0.50115 (3)	0.0000	0.01935 (14)
Bi4	0.08560 (4)	0.56218 (4)	0.0000	0.02587 (17)
Bi5	0.20740 (4)	0.41210 (4)	0.0000	0.02015 (15)
Rh1	0.10090 (7)	0.10090 (7)	0.0000	0.0195 (4)
Rh2	0.18578 (7)	0.67667 (7)	0.0000	0.0187 (3)
Mn1	0.0000	0.0000	0.0000	0.0261 (12)
Mn2	0.24406 (14)	0.24406 (14)	0.0000	0.0177 (7)
Mn3	0.33193 (14)	0.66807 (14)	0.0000	0.0182 (7)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Bi1	0.0180 (2)	0.0180 (2)	0.0277 (5)	0.0010 (3)	0.000	0.000
Bi2	0.0156 (3)	0.0175 (3)	0.0209 (3)	−0.0003 (2)	0.000	0.000
Bi3	0.0178 (3)	0.0173 (3)	0.0230 (3)	−0.0002 (2)	0.000	0.000
Bi4	0.0241 (3)	0.0236 (3)	0.0298 (4)	−0.0041 (3)	0.000	0.000
Bi5	0.0215 (3)	0.0172 (3)	0.0217 (3)	−0.0024 (2)	0.000	0.000
Rh1	0.0188 (5)	0.0188 (5)	0.0208 (10)	−0.0030 (6)	0.000	0.000
Rh2	0.0166 (5)	0.0198 (6)	0.0198 (7)	0.0014 (5)	0.000	0.000
Mn1	0.0257 (16)	0.0257 (16)	0.027 (3)	−0.008 (2)	0.000	0.000
Mn2	0.0187 (10)	0.0187 (10)	0.0157 (18)	0.0027 (13)	0.000	0.000
Mn3	0.0168 (10)	0.0168 (10)	0.021 (2)	0.0017 (13)	0.000	0.000

Geometric parameters (Å, º) top

Bi1—Rh2	2.8329 (16)	Bi5—Bi1^vii	3.4341 (7)
Bi1—Rh2ⁱ	2.8329 (16)	Rh1—Mn1	2.6435 (19)
Bi1—Mn2ⁱⁱ	3.048 (3)	Rh1—Mn3^vi	2.729 (3)
Bi1—Mn2ⁱⁱⁱ	3.048 (3)	Rh1—Mn3^vii	2.729 (3)
Bi1—Bi5ⁱⁱⁱ	3.4342 (7)	Rh1—Bi3^ix	2.8315 (9)
Bi1—Bi5^iv	3.4342 (7)	Rh1—Bi3^vii	2.8315 (9)
Bi1—Bi5ⁱⁱ	3.4342 (7)	Rh1—Bi3^x	2.8315 (9)
Bi1—Bi5^v	3.4342 (7)	Rh1—Bi3^vi	2.8315 (9)
Bi2—Rh2^vi	2.8939 (11)	Rh1—Bi2^viii	2.9513 (14)
Bi2—Rh2^vii	2.8939 (11)	Rh2—Mn3	2.712 (3)
Bi2—Rh1	2.9513 (14)	Rh2—Mn2ⁱⁱ	2.7568 (10)
Bi2—Mn2	2.990 (2)	Rh2—Mn2ⁱⁱⁱ	2.7568 (10)
Bi2—Mn3^vi	3.1089 (7)	Rh2—Bi5ⁱⁱⁱ	2.8220 (11)
Bi2—Mn3^vii	3.1089 (7)	Rh2—Bi5ⁱⁱ	2.8220 (11)
Bi2—Bi3^vii	3.5489 (9)	Rh2—Bi2ⁱⁱⁱ	2.8939 (11)
Bi2—Bi3^vi	3.5489 (9)	Rh2—Bi2ⁱⁱ	2.8939 (11)
Bi2—Bi4^vi	3.5733 (9)	Mn1—Rh1^xi	2.6435 (19)
Bi2—Bi4^vii	3.5733 (9)	Mn1—Bi3^xii	3.1570 (7)
Bi2—Bi5	3.6465 (11)	Mn1—Bi3^xiii	3.1570 (7)
Bi3—Rh1ⁱⁱ	2.8315 (9)	Mn1—Bi3^x	3.1570 (7)
Bi3—Rh1ⁱⁱⁱ	2.8315 (9)	Mn1—Bi3^vi	3.1570 (7)
Bi3—Mn1ⁱⁱ	3.1569 (7)	Mn1—Bi3^xiv	3.1570 (7)
Bi3—Mn1ⁱⁱⁱ	3.1569 (7)	Mn1—Bi3^ix	3.1570 (7)
Bi3—Mn3	3.181 (3)	Mn1—Bi3^vii	3.1570 (7)
Bi3—Bi3ⁱ	3.3209 (14)	Mn1—Bi3^xv	3.1570 (7)
Bi3—Bi3^viii	3.3809 (14)	Mn2—Rh2^vi	2.7568 (10)
Bi3—Bi5	3.4687 (11)	Mn2—Rh2^vii	2.7568 (10)
Bi3—Bi2ⁱⁱⁱ	3.5489 (9)	Mn2—Rh2^x	2.7568 (10)
Bi3—Bi2ⁱⁱ	3.5489 (9)	Mn2—Rh2^ix	2.7568 (10)
Bi4—Rh2	2.8184 (16)	Mn2—Mn3^vii	2.884 (4)
Bi4—Bi5ⁱⁱ	3.4046 (9)	Mn2—Mn3^vi	2.884 (4)
Bi4—Bi5ⁱⁱⁱ	3.4046 (9)	Mn2—Bi2^viii	2.990 (2)
Bi4—Bi4^vii	3.4692 (10)	Mn2—Bi1^vi	3.048 (3)
Bi4—Bi4^vi	3.4692 (10)	Mn2—Bi1^vii	3.048 (3)
Bi4—Bi4ⁱⁱⁱ	3.4693 (9)	Mn2—Bi5^viii	3.186 (2)
Bi4—Bi4ⁱⁱ	3.4693 (10)	Mn3—Rh2ⁱ	2.712 (3)
Bi4—Bi2ⁱⁱ	3.5734 (9)	Mn3—Rh1ⁱⁱ	2.729 (3)
Bi4—Bi2ⁱⁱⁱ	3.5734 (9)	Mn3—Rh1ⁱⁱⁱ	2.729 (3)
Bi4—Bi5	3.5808 (12)	Mn3—Mn2ⁱⁱ	2.884 (4)
Bi5—Rh2^vii	2.8221 (11)	Mn3—Mn2ⁱⁱⁱ	2.884 (4)
Bi5—Rh2^vi	2.8221 (11)	Mn3—Bi2^iv	3.1089 (7)
Bi5—Mn2	3.186 (2)	Mn3—Bi2ⁱⁱⁱ	3.1089 (7)
Bi5—Bi4^vii	3.4047 (9)	Mn3—Bi2^v	3.1089 (7)
Bi5—Bi4^vi	3.4046 (9)	Mn3—Bi2ⁱⁱ	3.1089 (7)
Bi5—Bi1^vi	3.4341 (7)	Mn3—Bi3ⁱ	3.181 (3)

Rh2—Bi1—Rh2ⁱ	79.00 (6)	Mn3^vi—Rh1—Bi3^vi	69.75 (5)
Rh2—Bi1—Mn2ⁱⁱ	55.77 (4)	Mn3^vii—Rh1—Bi3^vi	141.27 (4)
Rh2ⁱ—Bi1—Mn2ⁱⁱ	55.77 (4)	Bi3^ix—Rh1—Bi3^vi	140.66 (8)
Rh2—Bi1—Mn2ⁱⁱⁱ	55.77 (4)	Bi3^vii—Rh1—Bi3^vi	94.91 (4)
Rh2ⁱ—Bi1—Mn2ⁱⁱⁱ	55.77 (4)	Bi3^x—Rh1—Bi3^vi	71.81 (3)
Mn2ⁱⁱ—Bi1—Mn2ⁱⁱⁱ	86.39 (10)	Mn1—Rh1—Bi2^viii	128.69 (3)
Rh2—Bi1—Bi5ⁱⁱⁱ	52.46 (2)	Mn3^vi—Rh1—Bi2^viii	66.23 (4)
Rh2ⁱ—Bi1—Bi5ⁱⁱⁱ	112.58 (3)	Mn3^vii—Rh1—Bi2^viii	66.23 (4)
Mn2ⁱⁱ—Bi1—Bi5ⁱⁱⁱ	108.02 (4)	Bi3^ix—Rh1—Bi2^viii	75.682 (17)
Mn2ⁱⁱⁱ—Bi1—Bi5ⁱⁱⁱ	58.52 (2)	Bi3^vii—Rh1—Bi2^viii	131.92 (3)
Rh2—Bi1—Bi5^iv	112.58 (3)	Bi3^x—Rh1—Bi2^viii	75.682 (17)
Rh2ⁱ—Bi1—Bi5^iv	52.46 (2)	Bi3^vi—Rh1—Bi2^viii	131.92 (3)
Mn2ⁱⁱ—Bi1—Bi5^iv	58.52 (2)	Mn1—Rh1—Bi2	128.69 (3)
Mn2ⁱⁱⁱ—Bi1—Bi5^iv	108.02 (4)	Mn3^vi—Rh1—Bi2	66.23 (4)
Bi5ⁱⁱⁱ—Bi1—Bi5^iv	163.22 (4)	Mn3^vii—Rh1—Bi2	66.23 (4)
Rh2—Bi1—Bi5ⁱⁱ	52.46 (2)	Bi3^ix—Rh1—Bi2	131.92 (3)
Rh2ⁱ—Bi1—Bi5ⁱⁱ	112.58 (3)	Bi3^vii—Rh1—Bi2	75.682 (17)
Mn2ⁱⁱ—Bi1—Bi5ⁱⁱ	58.52 (2)	Bi3^x—Rh1—Bi2	131.92 (3)
Mn2ⁱⁱⁱ—Bi1—Bi5ⁱⁱ	108.02 (4)	Bi3^vi—Rh1—Bi2	75.682 (17)
Bi5ⁱⁱⁱ—Bi1—Bi5ⁱⁱ	74.81 (2)	Bi2^viii—Rh1—Bi2	102.61 (6)
Bi5^iv—Bi1—Bi5ⁱⁱ	102.67 (2)	Mn3—Rh2—Mn2ⁱⁱ	63.64 (8)
Rh2—Bi1—Bi5^v	112.58 (3)	Mn3—Rh2—Mn2ⁱⁱⁱ	63.64 (7)
Rh2ⁱ—Bi1—Bi5^v	52.46 (2)	Mn2ⁱⁱ—Rh2—Mn2ⁱⁱⁱ	98.35 (5)
Mn2ⁱⁱ—Bi1—Bi5^v	108.02 (4)	Mn3—Rh2—Bi4	127.82 (7)
Mn2ⁱⁱⁱ—Bi1—Bi5^v	58.52 (2)	Mn2ⁱⁱ—Rh2—Bi4	130.64 (2)
Bi5ⁱⁱⁱ—Bi1—Bi5^v	102.67 (2)	Mn2ⁱⁱⁱ—Rh2—Bi4	130.64 (2)
Bi5^iv—Bi1—Bi5^v	74.81 (2)	Mn3—Rh2—Bi5ⁱⁱⁱ	130.79 (3)
Bi5ⁱⁱ—Bi1—Bi5^v	163.22 (4)	Mn2ⁱⁱ—Rh2—Bi5ⁱⁱⁱ	140.44 (9)
Rh2^vi—Bi2—Rh2^vii	92.25 (5)	Mn2ⁱⁱⁱ—Rh2—Bi5ⁱⁱⁱ	69.65 (5)
Rh2^vi—Bi2—Rh1	106.51 (4)	Bi4—Rh2—Bi5ⁱⁱⁱ	74.26 (3)
Rh2^vii—Bi2—Rh1	106.51 (4)	Mn3—Rh2—Bi5ⁱⁱ	130.79 (3)
Rh2^vi—Bi2—Mn2	55.85 (4)	Mn2ⁱⁱ—Rh2—Bi5ⁱⁱ	69.65 (5)
Rh2^vii—Bi2—Mn2	55.85 (4)	Mn2ⁱⁱⁱ—Rh2—Bi5ⁱⁱ	140.44 (9)
Rh1—Bi2—Mn2	78.30 (7)	Bi4—Rh2—Bi5ⁱⁱ	74.26 (3)
Rh2^vi—Bi2—Mn3^vi	53.57 (6)	Bi5ⁱⁱⁱ—Rh2—Bi5ⁱⁱ	95.33 (5)
Rh2^vii—Bi2—Mn3^vi	111.94 (6)	Mn3—Rh2—Bi1	98.87 (7)
Rh1—Bi2—Mn3^vi	53.46 (5)	Mn2ⁱⁱ—Rh2—Bi1	66.07 (7)
Mn2—Bi2—Mn3^vi	56.40 (6)	Mn2ⁱⁱⁱ—Rh2—Bi1	66.07 (7)
Rh2^vi—Bi2—Mn3^vii	111.94 (6)	Bi4—Rh2—Bi1	133.31 (5)
Rh2^vii—Bi2—Mn3^vii	53.57 (6)	Bi5ⁱⁱⁱ—Rh2—Bi1	74.79 (3)
Rh1—Bi2—Mn3^vii	53.46 (5)	Bi5ⁱⁱ—Rh2—Bi1	74.79 (3)
Mn2—Bi2—Mn3^vii	56.40 (6)	Mn3—Rh2—Bi2ⁱⁱⁱ	67.27 (4)
Mn3^vi—Bi2—Mn3^vii	84.29 (2)	Mn2ⁱⁱ—Rh2—Bi2ⁱⁱⁱ	130.54 (9)
Rh2^vi—Bi2—Bi3^vii	157.13 (3)	Mn2ⁱⁱⁱ—Rh2—Bi2ⁱⁱⁱ	63.83 (6)
Rh2^vii—Bi2—Bi3^vii	94.24 (3)	Bi4—Rh2—Bi2ⁱⁱⁱ	77.43 (3)
Rh1—Bi2—Bi3^vii	50.63 (2)	Bi5ⁱⁱⁱ—Rh2—Bi2ⁱⁱⁱ	79.26 (2)
Mn2—Bi2—Bi3^vii	111.28 (5)	Bi5ⁱⁱ—Rh2—Bi2ⁱⁱⁱ	151.58 (6)
Mn3^vi—Bi2—Bi3^vii	103.80 (6)	Bi1—Rh2—Bi2ⁱⁱⁱ	128.91 (3)
Mn3^vii—Bi2—Bi3^vii	56.62 (6)	Mn3—Rh2—Bi2ⁱⁱ	67.27 (4)
Rh2^vi—Bi2—Bi3^vi	94.24 (3)	Mn2ⁱⁱ—Rh2—Bi2ⁱⁱ	63.83 (6)
Rh2^vii—Bi2—Bi3^vi	157.13 (3)	Mn2ⁱⁱⁱ—Rh2—Bi2ⁱⁱ	130.54 (9)
Rh1—Bi2—Bi3^vi	50.63 (2)	Bi4—Rh2—Bi2ⁱⁱ	77.43 (3)
Mn2—Bi2—Bi3^vi	111.28 (5)	Bi5ⁱⁱⁱ—Rh2—Bi2ⁱⁱ	151.58 (6)
Mn3^vi—Bi2—Bi3^vi	56.62 (6)	Bi5ⁱⁱ—Rh2—Bi2ⁱⁱ	79.26 (2)
Mn3^vii—Bi2—Bi3^vi	103.80 (6)	Bi1—Rh2—Bi2ⁱⁱ	128.91 (3)
Bi3^vii—Bi2—Bi3^vi	72.01 (2)	Bi2ⁱⁱⁱ—Rh2—Bi2ⁱⁱ	92.25 (5)
Rh2^vi—Bi2—Bi4^vi	50.34 (3)	Rh1—Mn1—Rh1^xi	180.00 (8)
Rh2^vii—Bi2—Bi4^vi	101.74 (3)	Rh1—Mn1—Bi3^xii	122.375 (12)
Rh1—Bi2—Bi4^vi	144.255 (12)	Rh1^xi—Mn1—Bi3^xii	57.625 (12)
Mn2—Bi2—Bi4^vi	100.67 (5)	Rh1—Mn1—Bi3^xiii	122.375 (12)
Mn3^vi—Bi2—Bi4^vi	95.78 (4)	Rh1^xi—Mn1—Bi3^xiii	57.625 (12)
Mn3^vii—Bi2—Bi4^vi	152.16 (7)	Bi3^xii—Mn1—Bi3^xiii	63.47 (2)
Bi3^vii—Bi2—Bi4^vi	147.94 (2)	Rh1—Mn1—Bi3^x	57.625 (12)
Bi3^vi—Bi2—Bi4^vi	99.273 (19)	Rh1^xi—Mn1—Bi3^x	122.375 (12)
Rh2^vi—Bi2—Bi4^vii	101.74 (3)	Bi3^xii—Mn1—Bi3^x	116.53 (2)
Rh2^vii—Bi2—Bi4^vii	50.34 (3)	Bi3^xiii—Mn1—Bi3^x	180.00 (3)
Rh1—Bi2—Bi4^vii	144.255 (13)	Rh1—Mn1—Bi3^vi	57.625 (12)
Mn2—Bi2—Bi4^vii	100.67 (5)	Rh1^xi—Mn1—Bi3^vi	122.375 (12)
Mn3^vi—Bi2—Bi4^vii	152.16 (7)	Bi3^xii—Mn1—Bi3^vi	180.00 (3)
Mn3^vii—Bi2—Bi4^vii	95.78 (4)	Bi3^xiii—Mn1—Bi3^vi	116.53 (2)
Bi3^vii—Bi2—Bi4^vii	99.273 (19)	Bi3^x—Mn1—Bi3^vi	63.47 (2)
Bi3^vi—Bi2—Bi4^vii	147.94 (2)	Rh1—Mn1—Bi3^xiv	122.375 (12)
Bi4^vi—Bi2—Bi4^vii	71.44 (2)	Rh1^xi—Mn1—Bi3^xiv	57.625 (11)
Rh2^vi—Bi2—Bi5	49.50 (2)	Bi3^xii—Mn1—Bi3^xiv	82.72 (2)
Rh2^vii—Bi2—Bi5	49.50 (2)	Bi3^xiii—Mn1—Bi3^xiv	115.25 (2)
Rh1—Bi2—Bi5	134.64 (4)	Bi3^x—Mn1—Bi3^xiv	64.75 (2)
Mn2—Bi2—Bi5	56.35 (6)	Bi3^vi—Mn1—Bi3^xiv	97.28 (2)
Mn3^vi—Bi2—Bi5	95.97 (7)	Rh1—Mn1—Bi3^ix	57.625 (11)
Mn3^vii—Bi2—Bi5	95.97 (7)	Rh1^xi—Mn1—Bi3^ix	122.375 (12)
Bi3^vii—Bi2—Bi5	143.415 (13)	Bi3^xii—Mn1—Bi3^ix	64.75 (2)
Bi3^vi—Bi2—Bi5	143.415 (13)	Bi3^xiii—Mn1—Bi3^ix	97.28 (2)
Bi4^vi—Bi2—Bi5	56.262 (17)	Bi3^x—Mn1—Bi3^ix	82.72 (2)
Bi4^vii—Bi2—Bi5	56.262 (16)	Bi3^vi—Mn1—Bi3^ix	115.25 (2)
Rh1ⁱⁱ—Bi3—Rh1ⁱⁱⁱ	94.91 (4)	Bi3^xiv—Mn1—Bi3^ix	116.53 (2)
Rh1ⁱⁱ—Bi3—Mn1ⁱⁱ	52.05 (4)	Rh1—Mn1—Bi3^vii	57.625 (12)
Rh1ⁱⁱⁱ—Bi3—Mn1ⁱⁱ	111.02 (3)	Rh1^xi—Mn1—Bi3^vii	122.375 (12)
Rh1ⁱⁱ—Bi3—Mn1ⁱⁱⁱ	111.02 (3)	Bi3^xii—Mn1—Bi3^vii	97.28 (2)
Rh1ⁱⁱⁱ—Bi3—Mn1ⁱⁱⁱ	52.05 (4)	Bi3^xiii—Mn1—Bi3^vii	64.75 (2)
Mn1ⁱⁱ—Bi3—Mn1ⁱⁱⁱ	82.72 (2)	Bi3^x—Mn1—Bi3^vii	115.25 (2)
Rh1ⁱⁱ—Bi3—Mn3	53.61 (4)	Bi3^vi—Mn1—Bi3^vii	82.72 (2)
Rh1ⁱⁱⁱ—Bi3—Mn3	53.61 (4)	Bi3^xiv—Mn1—Bi3^vii	180.000 (15)
Mn1ⁱⁱ—Bi3—Mn3	100.50 (3)	Bi3^ix—Mn1—Bi3^vii	63.47 (2)
Mn1ⁱⁱⁱ—Bi3—Mn3	100.50 (3)	Rh1—Mn1—Bi3^xv	122.375 (12)
Rh1ⁱⁱ—Bi3—Bi3ⁱ	54.097 (16)	Rh1^xi—Mn1—Bi3^xv	57.625 (11)
Rh1ⁱⁱⁱ—Bi3—Bi3ⁱ	54.097 (16)	Bi3^xii—Mn1—Bi3^xv	115.25 (2)
Mn1ⁱⁱ—Bi3—Bi3ⁱ	58.268 (12)	Bi3^xiii—Mn1—Bi3^xv	82.72 (2)
Mn1ⁱⁱⁱ—Bi3—Bi3ⁱ	58.268 (12)	Bi3^x—Mn1—Bi3^xv	97.28 (2)
Mn3—Bi3—Bi3ⁱ	58.53 (4)	Bi3^vi—Mn1—Bi3^xv	64.75 (2)
Rh1ⁱⁱ—Bi3—Bi3^viii	109.67 (4)	Bi3^xiv—Mn1—Bi3^xv	63.47 (2)
Rh1ⁱⁱⁱ—Bi3—Bi3^viii	109.67 (4)	Bi3^ix—Mn1—Bi3^xv	180.00 (3)
Mn1ⁱⁱ—Bi3—Bi3^viii	57.625 (11)	Bi3^vii—Mn1—Bi3^xv	116.53 (2)
Mn1ⁱⁱⁱ—Bi3—Bi3^viii	57.625 (11)	Rh2^vi—Mn2—Rh2^vii	98.35 (5)
Mn3—Bi3—Bi3^viii	148.53 (4)	Rh2^vi—Mn2—Rh2^x	81.63 (5)
Bi3ⁱ—Bi3—Bi3^viii	90.0	Rh2^vii—Mn2—Rh2^x	178.50 (17)
Rh1ⁱⁱ—Bi3—Bi5	117.76 (2)	Rh2^vi—Mn2—Rh2^ix	178.50 (17)
Rh1ⁱⁱⁱ—Bi3—Bi5	117.76 (2)	Rh2^vii—Mn2—Rh2^ix	81.63 (5)
Mn1ⁱⁱ—Bi3—Bi5	131.073 (15)	Rh2^x—Mn2—Rh2^ix	98.35 (5)
Mn1ⁱⁱⁱ—Bi3—Bi5	131.073 (15)	Rh2^vi—Mn2—Mn3^vii	123.81 (11)
Mn3—Bi3—Bi5	104.87 (4)	Rh2^vii—Mn2—Mn3^vii	57.43 (5)
Bi3ⁱ—Bi3—Bi5	163.398 (15)	Rh2^x—Mn2—Mn3^vii	123.81 (11)
Bi3^viii—Bi3—Bi5	106.601 (15)	Rh2^ix—Mn2—Mn3^vii	57.43 (5)
Rh1ⁱⁱ—Bi3—Bi2ⁱⁱⁱ	105.90 (4)	Rh2^vi—Mn2—Mn3^vi	57.43 (5)
Rh1ⁱⁱⁱ—Bi3—Bi2ⁱⁱⁱ	53.69 (3)	Rh2^vii—Mn2—Mn3^vi	123.81 (11)
Mn1ⁱⁱ—Bi3—Bi2ⁱⁱⁱ	154.95 (2)	Rh2^x—Mn2—Mn3^vi	57.43 (5)
Mn1ⁱⁱⁱ—Bi3—Bi2ⁱⁱⁱ	97.415 (18)	Rh2^ix—Mn2—Mn3^vi	123.81 (11)
Mn3—Bi3—Bi2ⁱⁱⁱ	54.70 (3)	Mn3^vii—Mn2—Mn3^vi	92.68 (15)
Bi3ⁱ—Bi3—Bi2ⁱⁱⁱ	100.440 (14)	Rh2^vi—Mn2—Bi2^viii	120.79 (9)
Bi3^viii—Bi3—Bi2ⁱⁱⁱ	142.039 (13)	Rh2^vii—Mn2—Bi2^viii	120.79 (9)
Bi5—Bi3—Bi2ⁱⁱⁱ	66.489 (17)	Rh2^x—Mn2—Bi2^viii	60.31 (4)
Rh1ⁱⁱ—Bi3—Bi2ⁱⁱ	53.69 (3)	Rh2^ix—Mn2—Bi2^viii	60.31 (4)
Rh1ⁱⁱⁱ—Bi3—Bi2ⁱⁱ	105.90 (4)	Mn3^vii—Mn2—Bi2^viii	63.89 (7)
Mn1ⁱⁱ—Bi3—Bi2ⁱⁱ	97.415 (18)	Mn3^vi—Mn2—Bi2^viii	63.89 (7)
Mn1ⁱⁱⁱ—Bi3—Bi2ⁱⁱ	154.95 (2)	Rh2^vi—Mn2—Bi2	60.31 (4)
Mn3—Bi3—Bi2ⁱⁱ	54.70 (3)	Rh2^vii—Mn2—Bi2	60.31 (4)
Bi3ⁱ—Bi3—Bi2ⁱⁱ	100.440 (14)	Rh2^x—Mn2—Bi2	120.79 (9)
Bi3^viii—Bi3—Bi2ⁱⁱ	142.039 (13)	Rh2^ix—Mn2—Bi2	120.79 (9)
Bi5—Bi3—Bi2ⁱⁱ	66.489 (17)	Mn3^vii—Mn2—Bi2	63.89 (7)
Bi2ⁱⁱⁱ—Bi3—Bi2ⁱⁱ	72.00 (2)	Mn3^vi—Mn2—Bi2	63.89 (7)
Rh2—Bi4—Bi5ⁱⁱ	52.92 (2)	Bi2^viii—Mn2—Bi2	100.79 (11)
Rh2—Bi4—Bi5ⁱⁱⁱ	52.92 (2)	Rh2^vi—Mn2—Bi1^vi	58.16 (5)
Bi5ⁱⁱ—Bi4—Bi5ⁱⁱⁱ	75.57 (3)	Rh2^vii—Mn2—Bi1^vi	120.56 (10)
Rh2—Bi4—Bi4^vii	132.55 (3)	Rh2^x—Mn2—Bi1^vi	58.16 (5)
Bi5ⁱⁱ—Bi4—Bi4^vii	173.51 (3)	Rh2^ix—Mn2—Bi1^vi	120.56 (10)
Bi5ⁱⁱⁱ—Bi4—Bi4^vii	104.875 (19)	Mn3^vii—Mn2—Bi1^vi	176.85 (12)
Rh2—Bi4—Bi4^vi	132.55 (3)	Mn3^vi—Mn2—Bi1^vi	90.47 (6)
Bi5ⁱⁱ—Bi4—Bi4^vi	104.875 (19)	Bi2^viii—Mn2—Bi1^vi	117.694 (15)
Bi5ⁱⁱⁱ—Bi4—Bi4^vi	173.51 (3)	Bi2—Mn2—Bi1^vi	117.694 (15)
Bi4^vii—Bi4—Bi4^vi	73.93 (3)	Rh2^vi—Mn2—Bi1^vii	120.56 (10)
Rh2—Bi4—Bi4ⁱⁱⁱ	115.18 (3)	Rh2^vii—Mn2—Bi1^vii	58.16 (5)
Bi5ⁱⁱ—Bi4—Bi4ⁱⁱⁱ	106.23 (3)	Rh2^x—Mn2—Bi1^vii	120.56 (10)
Bi5ⁱⁱⁱ—Bi4—Bi4ⁱⁱⁱ	62.78 (2)	Rh2^ix—Mn2—Bi1^vii	58.16 (5)
Bi4^vii—Bi4—Bi4ⁱⁱⁱ	68.803 (14)	Mn3^vii—Mn2—Bi1^vii	90.47 (6)
Bi4^vi—Bi4—Bi4ⁱⁱⁱ	111.197 (14)	Mn3^vi—Mn2—Bi1^vii	176.85 (12)
Rh2—Bi4—Bi4ⁱⁱ	115.18 (3)	Bi2^viii—Mn2—Bi1^vii	117.694 (15)
Bi5ⁱⁱ—Bi4—Bi4ⁱⁱ	62.78 (2)	Bi2—Mn2—Bi1^vii	117.694 (15)
Bi5ⁱⁱⁱ—Bi4—Bi4ⁱⁱ	106.23 (3)	Bi1^vi—Mn2—Bi1^vii	86.39 (10)
Bi4^vii—Bi4—Bi4ⁱⁱ	111.197 (14)	Rh2^vi—Mn2—Bi5^viii	122.89 (8)
Bi4^vi—Bi4—Bi4ⁱⁱ	68.803 (14)	Rh2^vii—Mn2—Bi5^viii	122.89 (8)
Bi4ⁱⁱⁱ—Bi4—Bi4ⁱⁱ	73.93 (3)	Rh2^x—Mn2—Bi5^viii	56.14 (4)
Rh2—Bi4—Bi2ⁱⁱ	52.23 (2)	Rh2^ix—Mn2—Bi5^viii	56.14 (4)
Bi5ⁱⁱ—Bi4—Bi2ⁱⁱ	62.953 (18)	Mn3^vii—Mn2—Bi5^viii	111.89 (3)
Bi5ⁱⁱⁱ—Bi4—Bi2ⁱⁱ	105.11 (3)	Mn3^vi—Mn2—Bi5^viii	111.89 (3)
Bi4^vii—Bi4—Bi2ⁱⁱ	122.58 (3)	Bi2^viii—Mn2—Bi5^viii	72.295 (17)
Bi4^vi—Bi4—Bi2ⁱⁱ	80.58 (2)	Bi2—Mn2—Bi5^viii	173.09 (11)
Bi4ⁱⁱⁱ—Bi4—Bi2ⁱⁱ	166.43 (3)	Bi1^vi—Mn2—Bi5^viii	66.81 (6)
Bi4ⁱⁱ—Bi4—Bi2ⁱⁱ	105.67 (2)	Bi1^vii—Mn2—Bi5^viii	66.81 (6)
Rh2—Bi4—Bi2ⁱⁱⁱ	52.23 (2)	Rh2^vi—Mn2—Bi5	56.14 (4)
Bi5ⁱⁱ—Bi4—Bi2ⁱⁱⁱ	105.11 (3)	Rh2^vii—Mn2—Bi5	56.14 (4)
Bi5ⁱⁱⁱ—Bi4—Bi2ⁱⁱⁱ	62.953 (18)	Rh2^x—Mn2—Bi5	122.89 (8)
Bi4^vii—Bi4—Bi2ⁱⁱⁱ	80.58 (2)	Rh2^ix—Mn2—Bi5	122.89 (8)
Bi4^vi—Bi4—Bi2ⁱⁱⁱ	122.58 (3)	Mn3^vii—Mn2—Bi5	111.89 (3)
Bi4ⁱⁱⁱ—Bi4—Bi2ⁱⁱⁱ	105.67 (2)	Mn3^vi—Mn2—Bi5	111.89 (3)
Bi4ⁱⁱ—Bi4—Bi2ⁱⁱⁱ	166.43 (3)	Bi2^viii—Mn2—Bi5	173.09 (11)
Bi2ⁱⁱ—Bi4—Bi2ⁱⁱⁱ	71.44 (2)	Bi2—Mn2—Bi5	72.295 (17)
Rh2—Bi4—Bi5	99.75 (4)	Bi1^vi—Mn2—Bi5	66.81 (6)
Bi5ⁱⁱ—Bi4—Bi5	127.277 (17)	Bi1^vii—Mn2—Bi5	66.81 (6)
Bi5ⁱⁱⁱ—Bi4—Bi5	127.277 (17)	Bi5^viii—Mn2—Bi5	114.62 (12)
Bi4^vii—Bi4—Bi5	57.73 (2)	Rh2ⁱ—Mn3—Rh2	83.27 (12)
Bi4^vi—Bi4—Bi5	57.73 (2)	Rh2ⁱ—Mn3—Rh1ⁱⁱ	118.81 (3)
Bi4ⁱⁱⁱ—Bi4—Bi5	126.471 (17)	Rh2—Mn3—Rh1ⁱⁱ	118.81 (3)
Bi4ⁱⁱ—Bi4—Bi5	126.471 (17)	Rh2ⁱ—Mn3—Rh1ⁱⁱⁱ	118.81 (3)
Bi2ⁱⁱ—Bi4—Bi5	65.072 (17)	Rh2—Mn3—Rh1ⁱⁱⁱ	118.81 (3)
Bi2ⁱⁱⁱ—Bi4—Bi5	65.072 (17)	Rh1ⁱⁱ—Mn3—Rh1ⁱⁱⁱ	99.69 (13)
Rh2^vii—Bi5—Rh2^vi	95.33 (5)	Rh2ⁱ—Mn3—Mn2ⁱⁱ	58.93 (7)
Rh2^vii—Bi5—Mn2	54.21 (3)	Rh2—Mn3—Mn2ⁱⁱ	58.94 (7)
Rh2^vi—Bi5—Mn2	54.21 (4)	Rh1ⁱⁱ—Mn3—Mn2ⁱⁱ	83.82 (7)
Rh2^vii—Bi5—Bi4^vii	52.82 (3)	Rh1ⁱⁱⁱ—Mn3—Mn2ⁱⁱ	176.49 (13)
Rh2^vi—Bi5—Bi4^vii	107.55 (4)	Rh2ⁱ—Mn3—Mn2ⁱⁱⁱ	58.93 (7)
Mn2—Bi5—Bi4^vii	100.41 (5)	Rh2—Mn3—Mn2ⁱⁱⁱ	58.93 (7)
Rh2^vii—Bi5—Bi4^vi	107.55 (4)	Rh1ⁱⁱ—Mn3—Mn2ⁱⁱⁱ	176.49 (13)
Rh2^vi—Bi5—Bi4^vi	52.82 (3)	Rh1ⁱⁱⁱ—Mn3—Mn2ⁱⁱⁱ	83.82 (7)
Mn2—Bi5—Bi4^vi	100.41 (5)	Mn2ⁱⁱ—Mn3—Mn2ⁱⁱⁱ	92.67 (15)
Bi4^vii—Bi5—Bi4^vi	75.57 (3)	Rh2ⁱ—Mn3—Bi2^iv	59.16 (3)
Rh2^vii—Bi5—Bi1^vi	107.02 (3)	Rh2—Mn3—Bi2^iv	118.15 (9)
Rh2^vi—Bi5—Bi1^vi	52.75 (3)	Rh1ⁱⁱ—Mn3—Bi2^iv	60.31 (3)
Mn2—Bi5—Bi1^vi	54.67 (4)	Rh1ⁱⁱⁱ—Mn3—Bi2^iv	122.04 (8)
Bi4^vii—Bi5—Bi1^vi	153.59 (3)	Mn2ⁱⁱ—Mn3—Bi2^iv	59.72 (4)
Bi4^vi—Bi5—Bi1^vi	98.70 (2)	Mn2ⁱⁱⁱ—Mn3—Bi2^iv	117.81 (9)
Rh2^vii—Bi5—Bi1^vii	52.75 (3)	Rh2ⁱ—Mn3—Bi2ⁱⁱⁱ	118.15 (9)
Rh2^vi—Bi5—Bi1^vii	107.02 (3)	Rh2—Mn3—Bi2ⁱⁱⁱ	59.16 (3)
Mn2—Bi5—Bi1^vii	54.67 (4)	Rh1ⁱⁱ—Mn3—Bi2ⁱⁱⁱ	122.04 (8)
Bi4^vii—Bi5—Bi1^vii	98.70 (2)	Rh1ⁱⁱⁱ—Mn3—Bi2ⁱⁱⁱ	60.31 (3)
Bi4^vi—Bi5—Bi1^vii	153.59 (3)	Mn2ⁱⁱ—Mn3—Bi2ⁱⁱⁱ	117.81 (9)
Bi1^vi—Bi5—Bi1^vii	74.81 (2)	Mn2ⁱⁱⁱ—Mn3—Bi2ⁱⁱⁱ	59.72 (4)
Rh2^vii—Bi5—Bi3	118.89 (3)	Bi2^iv—Mn3—Bi2ⁱⁱⁱ	176.87 (14)
Rh2^vi—Bi5—Bi3	118.89 (3)	Rh2ⁱ—Mn3—Bi2^v	59.16 (3)
Mn2—Bi5—Bi3	106.09 (6)	Rh2—Mn3—Bi2^v	118.15 (9)
Bi4^vii—Bi5—Bi3	133.563 (18)	Rh1ⁱⁱ—Mn3—Bi2^v	122.04 (8)
Bi4^vi—Bi5—Bi3	133.563 (18)	Rh1ⁱⁱⁱ—Mn3—Bi2^v	60.31 (3)
Bi1^vi—Bi5—Bi3	68.72 (2)	Mn2ⁱⁱ—Mn3—Bi2^v	117.81 (9)
Bi1^vii—Bi5—Bi3	68.72 (2)	Mn2ⁱⁱⁱ—Mn3—Bi2^v	59.72 (4)
Rh2^vii—Bi5—Bi4	111.83 (3)	Bi2^iv—Mn3—Bi2^v	84.29 (2)
Rh2^vi—Bi5—Bi4	111.83 (3)	Bi2ⁱⁱⁱ—Mn3—Bi2^v	95.62 (2)
Mn2—Bi5—Bi4	153.25 (6)	Rh2ⁱ—Mn3—Bi2ⁱⁱ	118.15 (9)
Bi4^vii—Bi5—Bi4	59.49 (2)	Rh2—Mn3—Bi2ⁱⁱ	59.16 (3)
Bi4^vi—Bi5—Bi4	59.49 (2)	Rh1ⁱⁱ—Mn3—Bi2ⁱⁱ	60.31 (3)
Bi1^vi—Bi5—Bi4	139.601 (14)	Rh1ⁱⁱⁱ—Mn3—Bi2ⁱⁱ	122.04 (8)
Bi1^vii—Bi5—Bi4	139.601 (14)	Mn2ⁱⁱ—Mn3—Bi2ⁱⁱ	59.72 (4)
Bi3—Bi5—Bi4	100.66 (2)	Mn2ⁱⁱⁱ—Mn3—Bi2ⁱⁱ	117.81 (9)
Rh2^vii—Bi5—Bi2	51.24 (3)	Bi2^iv—Mn3—Bi2ⁱⁱ	95.62 (2)
Rh2^vi—Bi5—Bi2	51.24 (3)	Bi2ⁱⁱⁱ—Mn3—Bi2ⁱⁱ	84.29 (2)
Mn2—Bi5—Bi2	51.36 (6)	Bi2^v—Mn3—Bi2ⁱⁱ	176.87 (14)
Bi4^vii—Bi5—Bi2	60.784 (18)	Rh2ⁱ—Mn3—Bi3	169.83 (9)
Bi4^vi—Bi5—Bi2	60.784 (18)	Rh2—Mn3—Bi3	106.90 (4)
Bi1^vi—Bi5—Bi2	93.68 (2)	Rh1ⁱⁱ—Mn3—Bi3	56.63 (6)
Bi1^vii—Bi5—Bi2	93.68 (2)	Rh1ⁱⁱⁱ—Mn3—Bi3	56.63 (6)
Bi3—Bi5—Bi2	157.45 (3)	Mn2ⁱⁱ—Mn3—Bi3	126.08 (5)
Bi4—Bi5—Bi2	101.89 (2)	Mn2ⁱⁱⁱ—Mn3—Bi3	126.08 (5)
Mn1—Rh1—Mn3^vi	130.15 (6)	Bi2^iv—Mn3—Bi3	114.21 (9)
Mn1—Rh1—Mn3^vii	130.15 (6)	Bi2ⁱⁱⁱ—Mn3—Bi3	68.69 (4)
Mn3^vi—Rh1—Mn3^vii	99.69 (13)	Bi2^v—Mn3—Bi3	114.21 (9)
Mn1—Rh1—Bi3^ix	70.33 (4)	Bi2ⁱⁱ—Mn3—Bi3	68.69 (4)
Mn3^vi—Rh1—Bi3^ix	141.27 (4)	Rh2ⁱ—Mn3—Bi3ⁱ	106.90 (4)
Mn3^vii—Rh1—Bi3^ix	69.75 (5)	Rh2—Mn3—Bi3ⁱ	169.83 (9)
Mn1—Rh1—Bi3^vii	70.33 (4)	Rh1ⁱⁱ—Mn3—Bi3ⁱ	56.63 (6)
Mn3^vi—Rh1—Bi3^vii	141.27 (4)	Rh1ⁱⁱⁱ—Mn3—Bi3ⁱ	56.63 (6)
Mn3^vii—Rh1—Bi3^vii	69.75 (5)	Mn2ⁱⁱ—Mn3—Bi3ⁱ	126.08 (5)
Bi3^ix—Rh1—Bi3^vii	71.81 (3)	Mn2ⁱⁱⁱ—Mn3—Bi3ⁱ	126.08 (5)
Mn1—Rh1—Bi3^x	70.33 (4)	Bi2^iv—Mn3—Bi3ⁱ	68.69 (4)
Mn3^vi—Rh1—Bi3^x	69.75 (5)	Bi2ⁱⁱⁱ—Mn3—Bi3ⁱ	114.21 (9)
Mn3^vii—Rh1—Bi3^x	141.27 (4)	Bi2^v—Mn3—Bi3ⁱ	68.69 (4)
Bi3^ix—Rh1—Bi3^x	94.91 (4)	Bi2ⁱⁱ—Mn3—Bi3ⁱ	114.21 (9)
Bi3^vii—Rh1—Bi3^x	140.66 (8)	Bi3—Mn3—Bi3ⁱ	62.94 (7)
Mn1—Rh1—Bi3^vi	70.33 (4)

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

Rhodium manganese tribismuthide (RhMnBi3) top

Crystal data top

RhMnBi₃	D_x = 10.369 Mg m⁻³
M_r = 784.79	Mo Kα radiation, λ = 0.71073 Å
Orthorhombic, Cmmm	Cell parameters from 3699 reflections
a = 8.885 (3) Å	θ = 3–34.9°
b = 13.696 (6) Å	µ = 110.13 mm⁻¹
c = 4.1310 (12) Å	T = 293 K
V = 502.7 (3) Å³	Irregular, gray
Z = 4	0.10 × 0.05 × 0.03 mm
F(000) = 1276

Data collection top

Nonius KappaCCD diffractometer	522 reflections with I > 2σ(I)
Radiation source: Nonius	R_int = 0.141
ω scans	θ_max = 35.0°, θ_min = 2.7°
Absorption correction: multi-scan	h = −14→14
T_min = 0.003, T_max = 0.005	k = −22→21
3699 measured reflections	l = −6→6
667 independent reflections

Refinement top

Refinement on F²	21 parameters
Least-squares matrix: full	0 restraints
R[F² > 2σ(F²)] = 0.094	w = 1/[σ²(F_o²) + (0.150P)² + 14.P] where P = (F_o² + 2F_c²)/3
wR(F²) = 0.257	(Δ/σ)_max < 0.001
S = 1.19	Δρ_max = 11.68 e Å⁻³
667 reflections	Δρ_min = −8.87 e Å⁻³

Special details top

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

	x	y	z	U_iso*/U_eq
Bi1	0.0000	0.33689 (14)	0.0000	0.0279 (5)
Bi2	0.19449 (14)	0.12399 (10)	0.5000	0.0263 (4)
Mn1	0.5000	0.0000	0.5000	0.026 (2)
Mn2	0.0000	0.0000	0.0000	0.033 (2)
Rh1	0.3016 (4)	0.0000	0.0000	0.0240 (7)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Bi1	0.0201 (8)	0.0243 (9)	0.0393 (10)	0.000	0.000	0.000
Bi2	0.0223 (7)	0.0263 (7)	0.0302 (7)	0.0019 (4)	0.000	0.000
Mn1	0.007 (3)	0.045 (6)	0.027 (5)	0.000	0.000	0.000
Mn2	0.025 (5)	0.034 (6)	0.039 (6)	0.000	0.000	0.000
Rh1	0.0172 (15)	0.0288 (18)	0.0260 (16)	0.000	0.000	0.000

Geometric parameters (Å, º) top

Bi1—Rh1ⁱ	2.846 (3)	Mn1—Bi1^xii	3.0426 (16)
Bi1—Rh1ⁱⁱ	2.846 (3)	Mn1—Bi1^iv	3.0426 (16)
Bi1—Mn1ⁱⁱ	3.0425 (16)	Mn1—Bi1^xiii	3.0426 (16)
Bi1—Mn1ⁱⁱⁱ	3.0425 (16)	Mn1—Bi1ⁱ	3.0426 (16)
Bi1—Bi2^iv	3.4527 (13)	Mn1—Bi2^xiv	3.2018 (15)
Bi1—Bi2^v	3.4527 (13)	Mn1—Bi2^viii	3.2018 (15)
Bi1—Bi2ⁱ	3.4527 (13)	Mn1—Bi2^x	3.2018 (15)
Bi1—Bi2^vi	3.4527 (13)	Mn2—Rh1	2.680 (4)
Bi2—Rh1	2.8383 (16)	Mn2—Rh1^xv	2.680 (4)
Bi2—Rh1^vii	2.8383 (16)	Mn2—Bi2^xv	3.1837 (12)
Bi2—Mn2	3.1837 (12)	Mn2—Bi2^viii	3.1837 (12)
Bi2—Mn2^vii	3.1837 (12)	Mn2—Bi2^xvi	3.1837 (12)
Bi2—Mn1	3.2018 (15)	Mn2—Bi2^xvii	3.1837 (12)
Bi2—Bi2^viii	3.396 (3)	Mn2—Bi2^ix	3.1837 (12)
Bi2—Bi1^iv	3.4528 (13)	Mn2—Bi2^xviii	3.1837 (12)
Bi2—Bi1ⁱ	3.4528 (13)	Mn2—Bi2^xix	3.1837 (12)
Bi2—Bi2^ix	3.456 (3)	Rh1—Mn1^xviii	2.715 (2)
Bi2—Bi2^iv	3.590 (3)	Rh1—Bi2^xvii	2.8383 (16)
Mn1—Rh1^x	2.715 (2)	Rh1—Bi2^xviii	2.8383 (16)
Mn1—Rh1^xi	2.715 (2)	Rh1—Bi2^viii	2.8383 (16)
Mn1—Rh1^vii	2.715 (2)	Rh1—Bi1ⁱ	2.846 (3)
Mn1—Rh1	2.715 (2)	Rh1—Bi1^xii	2.846 (3)

Rh1ⁱ—Bi1—Rh1ⁱⁱ	76.55 (12)	Rh1^xi—Mn1—Bi2^viii	123.39 (5)
Rh1ⁱ—Bi1—Mn1ⁱⁱ	54.80 (5)	Rh1^vii—Mn1—Bi2^viii	56.61 (5)
Rh1ⁱⁱ—Bi1—Mn1ⁱⁱ	54.80 (5)	Rh1—Mn1—Bi2^viii	56.61 (5)
Rh1ⁱ—Bi1—Mn1ⁱⁱⁱ	54.80 (5)	Bi1^xii—Mn1—Bi2^viii	67.08 (2)
Rh1ⁱⁱ—Bi1—Mn1ⁱⁱⁱ	54.80 (5)	Bi1^iv—Mn1—Bi2^viii	112.92 (2)
Mn1ⁱⁱ—Bi1—Mn1ⁱⁱⁱ	85.51 (6)	Bi1^xiii—Mn1—Bi2^viii	67.08 (2)
Rh1ⁱ—Bi1—Bi2^iv	52.50 (5)	Bi1ⁱ—Mn1—Bi2^viii	112.92 (2)
Rh1ⁱⁱ—Bi1—Bi2^iv	111.41 (7)	Bi2^xiv—Mn1—Bi2^viii	180.00 (4)
Mn1ⁱⁱ—Bi1—Bi2^iv	58.66 (3)	Rh1^x—Mn1—Bi2^x	56.61 (5)
Mn1ⁱⁱⁱ—Bi1—Bi2^iv	106.99 (5)	Rh1^xi—Mn1—Bi2^x	56.61 (5)
Rh1ⁱ—Bi1—Bi2^v	111.41 (7)	Rh1^vii—Mn1—Bi2^x	123.39 (5)
Rh1ⁱⁱ—Bi1—Bi2^v	52.50 (5)	Rh1—Mn1—Bi2^x	123.39 (5)
Mn1ⁱⁱ—Bi1—Bi2^v	106.99 (5)	Bi1^xii—Mn1—Bi2^x	67.08 (2)
Mn1ⁱⁱⁱ—Bi1—Bi2^v	58.66 (3)	Bi1^iv—Mn1—Bi2^x	112.92 (2)
Bi2^iv—Bi1—Bi2^v	162.14 (8)	Bi1^xiii—Mn1—Bi2^x	67.08 (2)
Rh1ⁱ—Bi1—Bi2ⁱ	52.50 (5)	Bi1ⁱ—Mn1—Bi2^x	112.92 (2)
Rh1ⁱⁱ—Bi1—Bi2ⁱ	111.41 (7)	Bi2^xiv—Mn1—Bi2^x	64.06 (6)
Mn1ⁱⁱ—Bi1—Bi2ⁱ	106.99 (5)	Bi2^viii—Mn1—Bi2^x	115.94 (6)
Mn1ⁱⁱⁱ—Bi1—Bi2ⁱ	58.66 (3)	Rh1^x—Mn1—Bi2	123.39 (5)
Bi2^iv—Bi1—Bi2ⁱ	73.48 (3)	Rh1^xi—Mn1—Bi2	123.39 (5)
Bi2^v—Bi1—Bi2ⁱ	103.66 (4)	Rh1^vii—Mn1—Bi2	56.61 (5)
Rh1ⁱ—Bi1—Bi2^vi	111.41 (7)	Rh1—Mn1—Bi2	56.61 (5)
Rh1ⁱⁱ—Bi1—Bi2^vi	52.50 (5)	Bi1^xii—Mn1—Bi2	112.92 (2)
Mn1ⁱⁱ—Bi1—Bi2^vi	58.66 (3)	Bi1^iv—Mn1—Bi2	67.08 (2)
Mn1ⁱⁱⁱ—Bi1—Bi2^vi	106.99 (5)	Bi1^xiii—Mn1—Bi2	112.92 (2)
Bi2^iv—Bi1—Bi2^vi	103.66 (4)	Bi1ⁱ—Mn1—Bi2	67.08 (2)
Bi2^v—Bi1—Bi2^vi	73.48 (4)	Bi2^xiv—Mn1—Bi2	115.94 (6)
Bi2ⁱ—Bi1—Bi2^vi	162.14 (8)	Bi2^viii—Mn1—Bi2	64.06 (6)
Rh1—Bi2—Rh1^vii	93.39 (7)	Bi2^x—Mn1—Bi2	180.0
Rh1—Bi2—Mn2	52.47 (7)	Rh1—Mn2—Rh1^xv	180.0
Rh1^vii—Bi2—Mn2	109.57 (6)	Rh1—Mn2—Bi2^xv	122.87 (2)
Rh1—Bi2—Mn2^vii	109.57 (6)	Rh1^xv—Mn2—Bi2^xv	57.13 (2)
Rh1^vii—Bi2—Mn2^vii	52.47 (7)	Rh1—Mn2—Bi2^viii	57.13 (2)
Mn2—Bi2—Mn2^vii	80.90 (4)	Rh1^xv—Mn2—Bi2^viii	122.87 (2)
Rh1—Bi2—Mn1	53.01 (6)	Bi2^xv—Mn2—Bi2^viii	115.53 (5)
Rh1^vii—Bi2—Mn1	53.01 (6)	Rh1—Mn2—Bi2^xvi	122.87 (2)
Mn2—Bi2—Mn1	100.21 (4)	Rh1^xv—Mn2—Bi2^xvi	57.13 (2)
Mn2^vii—Bi2—Mn1	100.21 (4)	Bi2^xv—Mn2—Bi2^xvi	64.47 (5)
Rh1—Bi2—Bi2^viii	53.25 (3)	Bi2^viii—Mn2—Bi2^xvi	180.00 (4)
Rh1^vii—Bi2—Bi2^viii	53.25 (3)	Rh1—Mn2—Bi2^xvii	57.13 (2)
Mn2—Bi2—Bi2^viii	57.77 (2)	Rh1^xv—Mn2—Bi2^xvii	122.87 (2)
Mn2^vii—Bi2—Bi2^viii	57.77 (2)	Bi2^xv—Mn2—Bi2^xvii	65.75 (5)
Mn1—Bi2—Bi2^viii	57.97 (3)	Bi2^viii—Mn2—Bi2^xvii	80.90 (4)
Rh1—Bi2—Bi1^iv	105.34 (8)	Bi2^xvi—Mn2—Bi2^xvii	99.10 (4)
Rh1^vii—Bi2—Bi1^iv	52.69 (6)	Rh1—Mn2—Bi2^ix	122.87 (2)
Mn2—Bi2—Bi1^iv	153.84 (5)	Rh1^xv—Mn2—Bi2^ix	57.13 (2)
Mn2^vii—Bi2—Bi1^iv	96.97 (3)	Bi2^xv—Mn2—Bi2^ix	114.25 (5)
Mn1—Bi2—Bi1^iv	54.26 (3)	Bi2^viii—Mn2—Bi2^ix	99.10 (4)
Bi2^viii—Bi2—Bi1^iv	98.93 (4)	Bi2^xvi—Mn2—Bi2^ix	80.90 (4)
Rh1—Bi2—Bi1ⁱ	52.69 (6)	Bi2^xvii—Mn2—Bi2^ix	180.00 (6)
Rh1^vii—Bi2—Bi1ⁱ	105.34 (8)	Rh1—Mn2—Bi2^xviii	57.13 (2)
Mn2—Bi2—Bi1ⁱ	96.97 (3)	Rh1^xv—Mn2—Bi2^xviii	122.87 (2)
Mn2^vii—Bi2—Bi1ⁱ	153.84 (5)	Bi2^xv—Mn2—Bi2^xviii	99.10 (4)
Mn1—Bi2—Bi1ⁱ	54.26 (3)	Bi2^viii—Mn2—Bi2^xviii	114.25 (5)
Bi2^viii—Bi2—Bi1ⁱ	98.93 (4)	Bi2^xvi—Mn2—Bi2^xviii	65.75 (5)
Bi1^iv—Bi2—Bi1ⁱ	73.48 (4)	Bi2^xvii—Mn2—Bi2^xviii	64.47 (5)
Rh1—Bi2—Bi2^ix	109.59 (7)	Bi2^ix—Mn2—Bi2^xviii	115.53 (5)
Rh1^vii—Bi2—Bi2^ix	109.59 (7)	Rh1—Mn2—Bi2^xix	122.87 (2)
Mn2—Bi2—Bi2^ix	57.13 (2)	Rh1^xv—Mn2—Bi2^xix	57.13 (2)
Mn2^vii—Bi2—Bi2^ix	57.13 (2)	Bi2^xv—Mn2—Bi2^xix	80.90 (4)
Mn1—Bi2—Bi2^ix	147.97 (3)	Bi2^viii—Mn2—Bi2^xix	65.75 (5)
Bi2^viii—Bi2—Bi2^ix	90.000 (1)	Bi2^xvi—Mn2—Bi2^xix	114.25 (5)
Bi1^iv—Bi2—Bi2^ix	141.828 (19)	Bi2^xvii—Mn2—Bi2^xix	115.53 (5)
Bi1ⁱ—Bi2—Bi2^ix	141.828 (19)	Bi2^ix—Mn2—Bi2^xix	64.47 (5)
Rh1—Bi2—Bi2^iv	118.89 (5)	Bi2^xviii—Mn2—Bi2^xix	180.00 (4)
Rh1^vii—Bi2—Bi2^iv	118.89 (5)	Rh1—Mn2—Bi2	57.13 (2)
Mn2—Bi2—Bi2^iv	131.45 (3)	Rh1^xv—Mn2—Bi2	122.87 (2)
Mn2^vii—Bi2—Bi2^iv	131.45 (3)	Bi2^xv—Mn2—Bi2	180.0
Mn1—Bi2—Bi2^iv	106.08 (5)	Bi2^viii—Mn2—Bi2	64.47 (5)
Bi2^viii—Bi2—Bi2^iv	164.05 (4)	Bi2^xvi—Mn2—Bi2	115.53 (5)
Bi1^iv—Bi2—Bi2^iv	68.58 (4)	Bi2^xvii—Mn2—Bi2	114.25 (5)
Bi1ⁱ—Bi2—Bi2^iv	68.58 (4)	Bi2^ix—Mn2—Bi2	65.75 (5)
Bi2^ix—Bi2—Bi2^iv	105.95 (4)	Bi2^xviii—Mn2—Bi2	80.90 (4)
Rh1^x—Mn1—Rh1^xi	99.05 (12)	Bi2^xix—Mn2—Bi2	99.10 (4)
Rh1^x—Mn1—Rh1^vii	80.95 (12)	Mn2—Rh1—Mn1	130.48 (6)
Rh1^xi—Mn1—Rh1^vii	180.0	Mn2—Rh1—Mn1^xviii	130.48 (6)
Rh1^x—Mn1—Rh1	180.0	Mn1—Rh1—Mn1^xviii	99.05 (12)
Rh1^xi—Mn1—Rh1	80.95 (12)	Mn2—Rh1—Bi2^xvii	70.41 (7)
Rh1^vii—Mn1—Rh1	99.05 (12)	Mn1—Rh1—Bi2^xvii	140.47 (7)
Rh1^x—Mn1—Bi1^xii	121.09 (4)	Mn1^xviii—Rh1—Bi2^xvii	70.37 (3)
Rh1^xi—Mn1—Bi1^xii	58.91 (4)	Mn2—Rh1—Bi2^xviii	70.41 (7)
Rh1^vii—Mn1—Bi1^xii	121.09 (4)	Mn1—Rh1—Bi2^xviii	140.47 (7)
Rh1—Mn1—Bi1^xii	58.91 (4)	Mn1^xviii—Rh1—Bi2^xviii	70.37 (3)
Rh1^x—Mn1—Bi1^iv	58.91 (4)	Bi2^xvii—Rh1—Bi2^xviii	73.50 (6)
Rh1^xi—Mn1—Bi1^iv	121.09 (4)	Mn2—Rh1—Bi2^viii	70.41 (7)
Rh1^vii—Mn1—Bi1^iv	58.91 (4)	Mn1—Rh1—Bi2^viii	70.37 (3)
Rh1—Mn1—Bi1^iv	121.09 (4)	Mn1^xviii—Rh1—Bi2^viii	140.47 (7)
Bi1^xii—Mn1—Bi1^iv	180.0	Bi2^xvii—Rh1—Bi2^viii	93.39 (7)
Rh1^x—Mn1—Bi1^xiii	58.91 (4)	Bi2^xviii—Rh1—Bi2^viii	140.81 (14)
Rh1^xi—Mn1—Bi1^xiii	121.09 (4)	Mn2—Rh1—Bi2	70.41 (7)
Rh1^vii—Mn1—Bi1^xiii	58.91 (4)	Mn1—Rh1—Bi2	70.37 (3)
Rh1—Mn1—Bi1^xiii	121.09 (4)	Mn1^xviii—Rh1—Bi2	140.47 (7)
Bi1^xii—Mn1—Bi1^xiii	85.51 (6)	Bi2^xvii—Rh1—Bi2	140.81 (14)
Bi1^iv—Mn1—Bi1^xiii	94.49 (6)	Bi2^xviii—Rh1—Bi2	93.39 (7)
Rh1^x—Mn1—Bi1ⁱ	121.09 (4)	Bi2^viii—Rh1—Bi2	73.50 (6)
Rh1^xi—Mn1—Bi1ⁱ	58.91 (4)	Mn2—Rh1—Bi1ⁱ	128.27 (6)
Rh1^vii—Mn1—Bi1ⁱ	121.09 (4)	Mn1—Rh1—Bi1ⁱ	66.29 (6)
Rh1—Mn1—Bi1ⁱ	58.91 (4)	Mn1^xviii—Rh1—Bi1ⁱ	66.29 (6)
Bi1^xii—Mn1—Bi1ⁱ	94.49 (6)	Bi2^xvii—Rh1—Bi1ⁱ	132.64 (5)
Bi1^iv—Mn1—Bi1ⁱ	85.51 (6)	Bi2^xviii—Rh1—Bi1ⁱ	74.81 (4)
Bi1^xiii—Mn1—Bi1ⁱ	180.0	Bi2^viii—Rh1—Bi1ⁱ	132.64 (5)
Rh1^x—Mn1—Bi2^xiv	56.61 (5)	Bi2—Rh1—Bi1ⁱ	74.81 (4)
Rh1^xi—Mn1—Bi2^xiv	56.61 (5)	Mn2—Rh1—Bi1^xii	128.27 (6)
Rh1^vii—Mn1—Bi2^xiv	123.39 (5)	Mn1—Rh1—Bi1^xii	66.29 (6)
Rh1—Mn1—Bi2^xiv	123.39 (5)	Mn1^xviii—Rh1—Bi1^xii	66.29 (6)
Bi1^xii—Mn1—Bi2^xiv	112.92 (2)	Bi2^xvii—Rh1—Bi1^xii	74.81 (4)
Bi1^iv—Mn1—Bi2^xiv	67.08 (2)	Bi2^xviii—Rh1—Bi1^xii	132.64 (5)
Bi1^xiii—Mn1—Bi2^xiv	112.92 (2)	Bi2^viii—Rh1—Bi1^xii	74.81 (4)
Bi1ⁱ—Mn1—Bi2^xiv	67.08 (2)	Bi2—Rh1—Bi1^xii	132.64 (5)
Rh1^x—Mn1—Bi2^viii	123.39 (5)	Bi1ⁱ—Rh1—Bi1^xii	103.45 (12)

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

Fractional atomic coordinates, Wyckoff letter and site symmetry of Rh₆Mn₅Bi₁₈ top

	Wyckoff letter	Site symmetry	X	y	z
Bi1	4g	m.2m	0.17112 (3)	0.82888 (3)	0.0
Bi2	8i	m..	0.08340 (3)	0.25924 (3)	0.0
Bi3	8i	m..	0.37210 (3)	0.50115 (3)	0.0
Bi4	8i	m..	0.08560 (4)	0.56218 (4)	0.0
Bi5	8i	m..	0.20740 (4)	0.41210 (4)	0.0
Rh1	4f	m.2m	0.10090 (7)	0.10090 (7)	0.0
Rh2	8i	m..	0.18578 (7)	0.67667 (7)	0.0
Mn1	2a	m.mm	0.0	0.0	0.0
Mn2	4f	m.2m	0.24406 (14)	0.24406 (14)	0.0
Mn3	4g	m.2m	0.33193 (14)	0.66807 (14)	0.0

Fractional atomic coordinates, Wyckoff letter and site symmetry of RhMnBi₃ top

	Wyckoff letter	Site symmetry	x	y	z
Bi1	4i	m2m	0.0	0.33689 (14)	0.0
Bi2	8q	..m	0.19449 (14)	0.12399 (10)	½
Mn1	2c	mmm	½	0.0	½
Mn2	2a	mmm	0.0	0.0	0.0
Rh1	4g	2mm	0.3016 (4)	0.0	0.0

Acknowledgements

We thank Dr Stephan Puchegger from the Center for Nano Structure Research, University of Vienna, for support with the SEM/EDX measurements.

Funding information

Funding for this research was provided by: Austrian Science Fund (FWF) (project No. P 26023); University of Vienna (open-access funding).

References

Chen, Y., Gregori, G., Leineweber, A., Qu, F., Chen, C., Tietze, T., Kronmüller, H., Schütz, G. & Goering, E. (2015). Scripta Mater. 107, 131–135. CrossRef Google Scholar
CrystalMaker (2009). CrystalMaker. CrystalMaker Software Ltd, Bicester, England. https://crystalmaker.com/. Google Scholar
Cui, J., Choi, J.-P., Polikarpov, E., Bowden, M. E., Xie, W., Li, G., Nie, Z., Zarkevich, N., Kramer, M. J. & Johnson, D. (2014). Acta Mater. 79, 374–381. CrossRef Google Scholar
Donohue, J. (1974). The Structures of the Elements, p. 454. New York: Wiley. Google Scholar
Fjellvåg, H. & Furuseth, S. (1987). J. Less-Common Met. 128, 177–183. Google Scholar
Gelato, L. M. & Parthé, E. (1987). J. Appl. Cryst. 20, 139–143. CrossRef Web of Science IUCr Journals Google Scholar
Hooft, R. W. W. (1999). COLLECT. Nonius BV, Delft, The Netherlands. Google Scholar
Huang, W., Wang, X., Chen, X., Lu, W., Damewood, L. & Fong, C. Y. (2015). J. Magn. Magn. Mater. 377, 252–258. CrossRef Google Scholar
Kainzbauer, P., Richter, K. W. & Ipser, H. (2018). J. Phase Equilibria Diffus. 39, 17–34. CrossRef Google Scholar
Liu, Y., Zhang, J., Jia, G., Zhang, Y., Ren, Z., Li, X., Jing, Ch., Cao, S. & Deng, K. (2004). Phys. Rev. B, 70, 184424. CrossRef Google Scholar
Marker, M. C. J., Terzieff, P., Kainzbauer, P., Bobnar, M., Richter, K. W. & Ipser, H. (2018). J. Alloys Compd, 741, 682–688. CrossRef Google Scholar
Otwinowski, Z. & Minor, W. (1997). Methods in Enzymology, Vol. 276, Macromolecular Crystallography, Part A, edited by C. W. Carter Jr & R. M. Sweet, pp. 307–326. New York: Academic Press. Google Scholar
Prince, E. (2006). Editor. International Tables for Crystallography, Vol. C, Mathematical, physical and chemical tables, 3rd ed. Chester: International Union of Crystallography. Google Scholar
Rama Rao, N. V., Gabay, A. M. & Hadjipanayis, G. C. (2013). J. Phys. D, 46, 062001. CrossRef Google Scholar
Ross, R. G. & Hume-Rothery, W. (1962). J. Less-Common Met. 4, 454–459. CrossRef Google Scholar
Sheldrick, G. M. (2008). Acta Cryst. A64, 112–122. Web of Science CrossRef CAS IUCr Journals Google Scholar
Sheldrick, G. M. (2015). Acta Cryst. C71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Street, G. B., Suits, J. C. & Lee, K. (1974). Solid State Commun. 14, 33–36. Google Scholar
Suits, J. C. (1975). IBM J. Res. Dev. 19, 422–423. CrossRef Google Scholar
Szytula, A., Bińszycka, H. & Todorović, J. (1981). Solid State Commun. 38, 41–43. CrossRef Google Scholar
Taufour, V., Thimmaiah, S., March, S., Saunders, S., Sun, K., Lamichhane, T. N., Kramer, M. J., Bud'ko, S. L. & Canfield, P. C. (2015). Phys. Rev. Appl. 4, 014021. CrossRef Google Scholar
Zhuravlev, N. N., Zhdanov, G. S. & Smirnova, E. M. (1962). Fiz. Met. Metalloved. 13, 62–70. Google Scholar

This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.