Combined X-ray and neutron single-crystal diffraction in diamond anvil cells

Grzechnik, A.; Meven, M.; Paulmann, C.; Friese, K.

doi:10.1107/S1600576719014201

research papers

JOURNAL OF
APPLIED
CRYSTALLOGRAPHY

ISSN: 1600-5767

Volume 53| Part 1| February 2020| Pages 9-14

https://doi.org/10.1107/S1600576719014201

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Combined X-ray and neutron single-crystal diffraction in diamond anvil cells

Andrzej Grzechnik,^a ^* Martin Meven,^a,^b Carsten Paulmann ^c and Karen Friese ^d

^aInstitute of Crystallography, RWTH Aachen University, Jägerstrasse 17-19, Aachen, 52056, Germany, ^bJülich Centre for Neutron Science (JCNS), Forschungszentrum Jülich GmbH at Heinz Maier-Leibnitz Zentrum (MLZ), Garching, 85748, Germany, ^cMineralogisch-Petrographisches Institut, Universität Hamburg, Hamburg, 20146, Germany, and ^dJülich Centre for Neutron Science-2/Peter Grünberg Institut-4 (JCNS-2/PGI-4), Forschungszentrum Jülich GmbH, Jülich, 52425, Germany
^*Correspondence e-mail: grzechnik@ifk.rwth-aachen.de

Edited by D. Pandey, Indian Institute of Technology (Banaras Hindu University), Varanasi, India (Received 12 August 2019; accepted 17 October 2019)

It is shown that it is possible to perform combined X-ray and neutron single-crystal studies in the same diamond anvil cell (DAC). A modified Merrill–Bassett DAC equipped with an inflatable membrane filled with He gas has been developed. It can be used on laboratory X-ray and synchrotron diffractometers as well as on neutron instruments. The data processing procedures and a joint structural refinement of the high-pressure synchrotron and neutron single-crystal data are presented and discussed for the first time.

Keywords: single-crystal X-ray diffraction; single-crystal neutron diffraction; high pressure; diamond anvil cells.

CCDC references: 1959957; 1959958

1. Introduction

X-ray and neutron diffraction are complementary experimental techniques for detailed studies of crystalline materials. Neutron diffraction is indispensable when X-ray diffraction fails to probe, for instance, magnetic (dis)order (Devi et al., 2019 ), compounds containing light elements (Truong et al., 2018 ) or (dis)ordering of elements over crystallographic sites (Hering et al., 2015 ). Because of the complementarity of X-ray and neutron data, their joint use allows the study of compounds in which magnetic order has a direct influence on the underlying crystal structure or vice versa, e.g. magnetocalorics (Hering et al., 2015). In experimental electron-density studies of molecular crystals, the combination of X-ray and neutron single-crystal diffraction is frequent and often mandatory to fully understand the nature of bonding (Jarzembska et al., 2017 ).

Owing to the development of radiation sources and area-sensitive detectors, single-crystal X-ray diffraction in a diamond anvil cell (DAC) can now be performed on very small samples (<10⁻⁷ mm³) with complex crystal structures up to megabar (1 Mbar = 100 GPa) pressures (Merlini & Hanfland, 2013 ). On the other hand, only two single-crystal neutron diffraction studies in a DAC have been reported, with complete structural refinements at 0.25 GPa (Binns et al., 2016 ) and 1.0 GPa (Grzechnik et al., 2018 ). The reason for this is that even at the most advanced neutron facilities it is difficult to study crystals with volumes below 1 mm³ since the highest neutron fluxes are several orders of magnitude smaller than the photon fluxes at synchrotron sources. Single crystals of several cubic millimetres are routinely studied with neutron scattering using gas-pressure and clamp cells (Klotz, 2013 ; Ridley & Kamenev, 2014 ). Data collected in Paris–Edinburgh presses are suitable for structure refinements at short neutron wavelengths (Bull et al., 2011 ) but are very restricted in reciprocal space. Panoramic cells with large anvils made of sapphire (Kuhs et al., 1989 , 1996 ; McMahon et al., 1990 ) or moissanite (McIntyre et al., 2005 ) have been used to collect data for full structure refinements from neutron data. The future of high-pressure neutron scattering (including single-crystal diffraction) has recently been assessed by Guthrie (2015 ).

The requirement for large samples in neutron scattering hinders the joint use of X-ray and neutron single-crystal diffraction upon compression. Up to now, no complementary crystallographic studies at high pressures on exactly the same sample under exactly the same experimental conditions have been performed. In addition, DACs that are suitable for both X-ray and neutron diffraction studies are not commonly available.

Recently, we have started exploring the feasibility of neutron measurements in a DAC on the four-circle single-crystal diffractometer HEiDi (Meven & Sazonov, 2015 ) at the Heinz Maier-Leibnitz Zentrum (MLZ) in Garching. Using the hot source of the FRM II reactor, HEiDi operates at short monochromatic wavelengths with high fluxes. It is equipped with a point detector (Eurisys, 5 bar ³He) with a high sensitivity (>95%) down to λ = 0.3 Å. It provides precise information on crystal and magnetic structures, including the reliable and accurate characterization of anisotropic displacement parameters in materials with highly absorbing elements. Typical investigations at HEiDi focus on (i) ionic conductors relevant for energy applications and data storage (Ceretti et al., 2018 ), (ii) superconductors (Jin et al., 2016 ), (iii) multiferroic materials (Regnat et al., 2018 ), (iv) small-molecule structures, in which hydrogen bridges play a key role as a structure building element (Truong et al., 2017 , 2018), or (v) complex zeolitic crystal structures (Gatta et al., 2018 ).

For our high-pressure work at HEiDi, we constructed a panoramic DAC with a wide access to reciprocal space (Grzechnik et al., 2018). The data measured using this cell have a completeness of 76% (θ_full = 39.34°, λ = 1.17 Å) and are of excellent quality, as demonstrated by a full structure refinement with standard tools in high-pressure crystallography (Friese et al., 2013 ; Petricek et al., 2014 ). This cell is also compatible with the cryostats available at MLZ (Eich et al., 2019 ). However, panoramic cells (regardless of whether the anvils are made of diamond, sapphire or moissanite), in which both incident and diffracted beams pass through the gasket, cannot be used for combined X-ray and neutron diffraction studies, because there is no gasket material that weakly attenuates neutrons and at the same time is transparent to high-energy X-ray radiation. Hence, a DAC working in the transmission mode is optimal for such experiments as the incident and diffracted beams pass through the diamond anvils, which (unlike sapphire and moissanite anvils) only weakly attenuate both X-rays and neutrons. The first cells for combined X-ray and neutron studies were developed by Goncharenko (2007 ). They are called hybrid DACs since they have windows for panoramic (neutron) and transmission (X-ray) geometries. However, these windows only allow measurement of the data at very small scattering angles owing to their limited opening angles. Consequently, comprehensive structural refinements are not possible either from the neutron or from the X-ray data obtained in the hybrid DAC because there are an insufficient number of accessible reflections.

Here, we present transmission cells suitable for both neutron and X-ray single-crystal diffraction with a comparatively large opening angle of 80°. They can be used on various diffractometers at laboratory X-ray, synchrotron and neutron facilities. The joint structural refinement of a crystal structure from the neutron and synchrotron data measured under identical conditions at high pressures is performed and discussed here for the first time.

For our combined benchmark X-ray and neutron measurements, we chose a crystal of MnFe₄Si₃ that has already been investigated in our earlier high-pressure neutron single-crystal diffraction study (Grzechnik et al., 2018). The structure of this compound is well known and was determined at ambient conditions using joint X-ray and neutron data (Hering et al., 2015). While the atomic coordinates can be straightforwardly obtained from X-ray diffraction, the occupation factors for the mixed occupancy site incorporating Mn and Fe (i.e. neighbouring elements in the periodic table) can only be determined from neutron diffraction since the two elements have very different scattering lengths.

2. The cells

The design of our transmission cells is a modification of the triangular DAC type designed by Merrill & Bassett (1974 ). They are round, with the central part having a fourfold symmetry, and fitted with conical diamonds (type Ia, aperture 80°). The angular opening angle is 80°. The four guiding pins are integrated into the body of the cell. The smallest cell is 30 mm in diameter and 20 mm in height. Pressure is generated by tightening four M3 bolts. Like in the original Merrill–Bassett design (Merrill & Bassett, 1974), the diamond seats do not have any tilt adjustment. A larger cell, 44 mm in diameter and 25 mm in height [Fig. 1(a)], is equipped with a remotely inflatable membrane filled with He gas (memDAC). The diamonds can be aligned in both a parallel and a translational manner. Pressure in this cell is generated by tightening four M4 bolts and/or by inflating the membrane (LeToullec et al., 1992 ; Goncharenko, 2007). A valve attached to the membrane through a capillary allows the cell to be disconnected from a pressure controller, while maintaining the pressure in the membrane. The size of the outside membrane cup is 50 mm in diameter and 33 mm in height. The outer dimensions of both cells and of the membrane cup are quite small so that the same crystal could be studied under the same conditions on laboratory X-ray and synchrotron diffractometers as well as on neutron beamlines [Figs. 1(b) and 1(c)]. Our memDAC is especially useful to follow the pressure dependence of selected reflections by using the remotely inflatable membrane at room temperature. The use of the membrane avoids safety concerns related to tightening the screws by hand when the sample might be activated by exposure to the neutron beam. The small size of the cells also makes them suitable for low-temperature investigations in closed-cycle cryostats when the membrane is not used.

Figure 1
The cell used in this study: (a) a schematic cross section and different views with and without the membrane and cup (the valve is not shown), (b) the cell mounted on the laboratory X-ray diffractometer IPDS-II, and (c) the cell mounted on the four-circle diffractometer HEiDi.

All parts of the cells, except for the diamonds (https://diamondanvils.com/) and the membrane, capillary and valve (all three from https://www.betsa.fr/), are currently made of Berylco-25 (CuBe). The pressures reachable with diamond culets of 0.6 and 1.0 mm in diameter are above 10 and 4 GPa, respectively. Alternatively, the M3 and M4 bolts can be made of high-tensile titanium alloys (Klotz, 2013). The DAC can also be produced from Ni–Cr–Al alloy (`Russian alloy', NiCrAl), which has superior mechanical properties compared with CuBe (Cheng et al., 2019 ). Unlike most of the materials that are used to manufacture DACs for X-ray diffraction, CuBe and NiCrAl are ideal for both X-ray and neutron diffraction as they are non-magnetic down to very low temperatures and weakly attenuate neutrons. Our cells made of CuBe do become activated by neutrons but always remain below the safety limits for free handling. In contrast, the most common maraging steels are not paramagnetic and become highly activated with neutrons as they have a significant content of cobalt.

3. Data collection and processing

An approximately prismatic crystal of MnFe₄Si₃ (about 0.4 × 0.45 × 0.6 mm) was loaded into memDAC together with a ruby chip. The size of the crystal is only slightly larger than the minimal size for crystals that can currently be measured at HEiDi before all the upgrades of the beamline are finished (Grzechnik et al., 2018). The diameter of the diamond culets was 1.5 mm. To load such a large crystal and avoid crushing it between the anvils, the gasket with an initial thickness of 1 mm was pre-indented to about 0.8 mm. The initial diameter of the sample chamber was 0.8 mm. With so thick a pre-indentation, the pressure is limited by the size of the crystal and stability of the gasket. We therefore performed our benchmark measurement at a relatively low pressure to ensure stable conditions for both neutron and X-ray measurements, despite the fact that the pressure limits for the cell are higher (see above).

To minimize the background due to neutron scattering from all the components of the cell, the conical surfaces of the seats and of both upper and lower parts of the cell were covered with a gadolinium paint, i.e. a fine powder of Gd₂O₃ mixed with nail polish [Figs. 1(b) and 1(c)]. As a result, the holes in the seats effectively acted as pinholes with a diameter of 3.2 mm, i.e. the diameter of the diamond table. The pressure determined using ruby luminescence was 0.9 GPa. The transmitting medium was a deuterated 4:1 mixture of methanol and ethanol.

Prior to the neutron measurements on HEiDi, we determined the orientation matrix of the crystal in the DAC on a Stoe IPDS-II laboratory single-crystal diffractometer (Mo Kα) [Figs. 1(b) and 1(c)]. The collected data were processed with the software X-Area (Stoe & Cie, 2013 ).

Unlike in the original Merrill–Bassett type (Merrill & Bassett, 1974; Binns et al., 2016), the use of the membrane precludes neutron data collection through the cell body of our memDAC. Hence, the diffracted neutron intensities (Table 1) were measured within the cones of the cell (the opening angle 80°). The HEiDi diffractometer has a four-circle Eulerian geometry. At the beginning of the neutron experiment (λ = 1.17 Å), memDAC was oriented with its axis coinciding with the primary beam, i.e. all diffractometer axes 2θ, ω, χ and φ were at their zero positions. The sample position in memDAC was optically adjusted to the instrument centre, defined by the cross point of all diffractometer axes.

Table 1
Experimental single-crystal data on MnFe₄Si₃ (P6₃/mcm, Z = 2) measured with synchrotron and neutron diffraction

	Synchrotron	Neutron
Data collection
No. measured reflections	509	56
Range of hkl	−10 ≤ h ≤ 9	0 ≤ h ≤ 6
	−7 ≤ k ≤ 4	−3 ≤ k ≤ 0
	−7 ≤ l ≤ 7	0 ≤ l ≤ 4
No. observed reflections†	106	15
R(int)_obs‡	13.10	20.65
Redundancy	4.8	2.6

†Criterion for observed reflections is |F_obs| > 3σ.
‡All agreement factors are given in %, weighting scheme is 1/[σ²(F_obs) + (0.01F_obs)²].

Taking into account the relationship between the two reference systems of the IPDS-II and four-circle Eulerian diffractometers, we could deduce an approximate orientation matrix of the single crystal on HEiDi. This facilitated finding the reflections with the point detector. After subsequent centring of these reflections and refinement of the orientation matrix, we calculated the offset of the two diffractometers, which results in small deviations in the angular values of χ and φ in the Eulerian geometry of the four-circle diffractometer HEiDi with respect to the angular values deduced from the orientation matrix from the IPDS-II. Knowing the exact transformation between the two orientation matrices, we can now efficiently use the peak search routines in reciprocal space with the point detector on HEiDi by employing the orientation matrices obtained on our laboratory X-ray instrument in future experiments. In a similar way, it is possible to use the orientation matrices from other diffractometers, provided the transformation between the two reference systems is known. The small additional angular deviations can then be straightforwardly determined, leading altogether to a reduction of the measurement time compared with strategies where the classical search routines are used at HEiDi. These search routines can easily take up to 1 or 2 days of beamtime depending on the size of the crystal.

The software at HEiDi now includes a mathematical model describing the position of memDAC when rotating the sample. With the help of this algorithm, diffracted beams not passing through both diamonds in the cell but hitting the body are marked as `shaded' and the corresponding reflections are excluded automatically from the measurement. The routine furthermore checks the possibilities to rotate the sample in the DAC around the H_hkl vector and determines whether an alternative azimuthal ψ angle is available where the shading can be avoided and the reflections are accessible.

For the primary neutron optics, a setup with a 0.5 mm Er filter to suppress λ/3 contamination and the adjustable 3 mm BN (boron nitride) pipe collimator was used. For the secondary optics, a 16 mm BC (boron carbide) tube for suppression of scattering from the sample environment and a detector slit of 10 × 15 mm (width × height) to minimize background were used. All reflections were measured with ω rocking scans of 10 s per step using a point detector. If significant (I > 3σ), they were re-measured for up to an additional 10 s per step in order to increase their accuracy. The combined effect of the diamond seat pinholes and ω scans was that the background due to powder lines originating from the sample environment was minimal. Because of the restrictions in beamtime and in the angular range of the DAC, only (±h +k ±l) reflections up to 2θ = 65° were considered for collection.

Synchrotron single-crystal experiments in memDAC (Table 1) were conducted on the beamline P24 (Chemical Crystallography) at PETRA-III (Hamburg) using a marCCD165 detector on the kappa diffractometer (station EH1, λ = 0.494 Å). The exposure time per frame was 1 s. A filter (an Ni foil with a thickness of 50 µm) was additionally used to attenuate the primary beam. The data were indexed and integrated with the software CrysAlis (Oxford Diffraction, 2007 $[Oxford Diffraction (2007). CrysAlis. Oxford Diffraction Ltd, Abingdon, Oxfordshire, England.]$ ). The obtained lattice parameters and unit-cell volume are a = 6.7705 (6), c = 4.7044 (2) Å and V = 186.76 (4) Å³, respectively.

4. Structural refinements

For all structural refinements with the program JANA2006 (Friese et al., 2013; Petříček et al., 2014), the lattice parameters obtained from the synchrotron data were used because of their higher accuracy. The relatively high internal R values for both neutron and synchrotron data can possibly be attributed to the radiation attenuation by the diamonds, i.e. `diamond dips' (Loveday et al., 1990 ). Initially, the refinements of the synchrotron and neutron data were performed separately to test their internal consistency (Tables 1 –5). Because of the limited number of reflections available (determined by the opening angle of the cell), the displacement parameters of the atoms were refined isotropically from the neutron data.

Table 2
R-factor overview for the separate refinements of the synchrotron and neutron data

	Synchrotron	Neutron
R_obs	6.21	7.00
wR_obs	7.60	4.41
Goodness of fit	6.50	1.93
No. of parameters	12	7

Table 3
R-factor overview for the joint refinement of the synchrotron and neutron data (the number of refined parameters is 14)

	Block 1 (synchrotron)	Block 2 (neutron)
R_obs	6.19	9.70
wR_obs	7.58	7.10
Goodness of fit	6.02	7.74

Table 4
Refined structural parameters for MnFe₄Si₃ (P6₃/mcm, Z = 2)

Italics: synchrotron diffraction (a separate refinement); normal font: neutron diffraction (a separate refinement); bold font: both synchrotron and neutron diffraction (a joint refinement).

Atom	Wyckoff position	Occupancy	x	y	z	U_eq
Mn1	6g	0.3333	0.7649 (3)	0.7649 (3)	0.25	0.0150 (8)
		0.33 (2)	0.759 (3)	0.759 (3)	0.25	0.025 (9)
		0.32 (2)	0.7649 (3)	0.7649 (3)	0.25	0.0151 (7)

Fe1		0.6667	0.7649 (3)	0.7649 (3)	0.25	0.0150 (8)
		0.67 (2)	0.759 (3)	0.759 (3)	0.25	0.025 (9)
		0.68 (2)	0.7649 (3)	0.7649 (3)	0.25	0.0151 (7)

Fe2	4d	1.0	0.6667	0.3333	0	0.0132 (6)
		0.99	0.6667	0.3333	0	0.025 (8)
		0.98	0.6667	0.3333	0	0.0132 (6)

Mn2		0.0	0.6667	0.3333	0	0.0132 (6)
		0.01	0.6667	0.3333	0	0.025 (8)
		0.02	0.6667	0.3333	0	0.0132 (6)

Si	6g	1.0	0.3998 (4)	0.3998 (4)	0.25	0.013 (1)
		1.0	0.391 (6)	0.391 (6)	0.25	0.028 (8)
		1.0	0.3998 (5)	0.3998 (5)	0.25	0.013 (1)

Atom	U₁₁	U₂₂	U₃₃	U₁₂	U₁₃	U₂₃
Mn1/Fe1	0.016 (1)	0.010 (1)	0.017 (1)	0.0051 (6)	0	0
Mn1/Fe1	0.016 (1)	0.10 (1)	0.017 (8)	0.0051 (5)	0	0

Fe2	0.013 (1)	0.013 (1)	0.013 (1)	0.0066 (6)	0	0
Fe2	0.013 (1)	0.013 (1)	0.013 (1)	0.0066 (5)	0	0

Si	0.012 (2)	0.010 (2)	0.017 (1)	0.0049 (9)	0	0
Si	0.012 (1)	0.010 (2)	0.017 (1)	0.0050 (8)	0	0

Table 5
Selected interatomic distances (in Å) in MnFe₄Si₃

		Synchrotron	Neutron	Synchrotron and neutron
Mn1—Mn1	2×	2.757 (3)	2.83 (3)	2.757 (2)
Mn1—Mn1	4×	2.840 (1)	2.863 (9)	2.840 (1)

Mn1—Fe2	4×	2.902 (2)	2.88 (1)	2.902 (3)
Mn1—Si		2.472 (4)	2.49 (4)	2.472 (4)
Mn1—Si	2×	2.356 (3)	2.32 (3)	2.356 (3)
Mn1—Si	2×	2.603 (2)	2.56 (2)	2.603 (2)

Fe2—Fe2	2×	2.3522 (2)	2.3522 (2)	2.3522 (2)
Fe2—Si	6×	2.380 (3)	2.40 (4)	2.380 (3)

Si—Si	2×	2.715 (2)	2.77 (3)	2.715 (3)

A comparison of the atomic coordinates from the present neutron data with those obtained previously (Grzechnik et al., 2018) shows that they agree very well within their estimated standard deviations (ESDs) (Table 4). The interatomic distances are also identical within their ESDs to those from our panoramic cell (Table 5). On the other hand, the completeness of the data in memDAC is significantly lower. The fraction of unique reflections measured out to the angle θ_full, i.e. to the angle at which the measured reflection count is close to being complete, is 62% at θ_full = 20.22° for memDAC compared with 76% at θ_full = 39.34° for the panoramic cell (Grzechnik et al., 2018).

In a second step, a joint refinement combining the synchrotron and neutron data using the available options in the program JANA2006 was performed. The corresponding F_obs − F_calc plots are shown in Fig. 2. There are approximately ten times more reflections measured with the synchrotron radiation than with neutrons. As can be seen from Table 3, the atomic coordinates and displacement parameters in the joint refinement are identical to those from the refinement of the synchrotron data alone.

Figure 2
Observed (F_obs) versus calculated (F_calc) structure factors based on symmetry-independent reflections from a joint refinement of the synchrotron and neutron data.

The refinement with only the synchrotron data showed that it was not possible to refine the Mn and Fe occupancies reliably, owing to the limited contrast of these neighbouring elements in X-ray diffraction. To distinguish these two elements, the information from the neutron data is clearly needed. Initially, Mn and Fe were equally distributed on the two available Wyckoff positions 6g and 4d (Table 4). The refinement of the occupancies yielded a model in which the position 6g is partially occupied by Mn and Fe, while the position 4d is essentially occupied by Fe. Despite the fact that only relatively limited neutron data are available, a comparison with earlier published structural data based on neutron single-crystal diffraction at ambient (Hering et al., 2015) and high (Grzechnik et al., 2018) pressures shows that taking them into account in the refinement still allows us to unambiguously refine the occupancies of Mn and Fe on the available sites in agreement with the earlier results (like in the earlier refinements, the sum of occupancies was restricted in such a way that the overall stoichiometry corresponded to the ideal one MnFe₄Si₃ in accordance with chemical analysis). It is noteworthy that a test carried out with the present neutron data shows that, even if only the ten strongest reflections are included, the occupancy factors are still correct and only their standard deviations become slightly higher. This implies that for answering other specific questions, regarding, for instance, magnetic ordering or the positions of hydrogen bonds, a comparatively small number of reflections measured with neutrons would also be sufficient if they are combined with X-ray data.

5. Conclusions

Our study confirms that it is possible to determine the crystal structure of a compound under high pressure using a combination of neutron and X-ray data measured on the same crystal under identical conditions. The transmission DACs described in this study can be used on various diffractometers at laboratory X-ray, synchrotron and neutron facilities.

The major problem in high-pressure investigations using neutron single-crystal diffraction in DACs, especially using a point detector, is the large amount of time needed to measure a complete data set owing to the small sample volume and the comparatively low flux of the neutron beam. However, in many cases a full neutron data set does not necessarily have to be measured. Rather a small number of reflections, which are relevant to the scientific question one wants to answer, can be selected to reduce the required beamtime. Complementary data can then be measured with X-ray diffraction, for which the data collection is more efficient.

Currently, the opening angles of our transmission DAC are 80°, which is a standard in the DACs for single-crystal diffraction. We are now designing new cells made of the Ni–Cr–Al alloy (Cheng et al., 2019) for neutron and X-ray diffraction with a larger opening that would allow a wider access to the reciprocal space, close to that in our panoramic DAC (Grzechnik et al., 2018). The resulting improvement in the quality and redundancy of the neutron data will mitigate the effect of extinction and radiation attenuation by the diamond anvils. The latter has been treated semi-empirically for time-of-flight neutron diffraction (Guthrie et al., 2017 ). It also remains to be accounted for in monochromatic neutron scattering.

Supporting information

CCDC references: 1959957; 1959958

Crystal structure: contains datablocks global, neutron, global_2, synchrotron. DOI: https://doi.org/10.1107/S1600576719014201/pd5113sup1.cif

Structure factors: contains datablock neutron. DOI: https://doi.org/10.1107/S1600576719014201/pd5113neutronsup2.hkl

Structure factors: contains datablock synchrotron. DOI: https://doi.org/10.1107/S1600576719014201/pd5113synchrotronsup3.hkl

Computing details top

Data collection: CrysAlis PRO 1.171.39.46 (Rigaku OD, 2018) for synchrotron. Cell refinement: CrysAlis PRO 1.171.39.46 (Rigaku OD, 2018) for synchrotron. Data reduction: CrysAlis PRO 1.171.39.46 (Rigaku OD, 2018) for synchrotron.

(neutron) top

Crystal data top

Fe₄MnSi₃	D_x = 6.448 Mg m⁻³
M_r = 362.6	Neutron radiation, λ = 1.17 Å
Hexagonal, P6₃/mcm	Cell parameters from 679 reflections
Hall symbol: -P 6c;-2	θ = 3.0–23.9°
a = 6.7705 (6) Å	µ = 0.02 mm⁻¹
c = 4.7044 (2) Å	T = 293 K
V = 186.76 (2) Å³	Irregular, black
Z = 2	0.6 × 0.45 × 0.4 mm
F(000) = 96.467

Data collection top

Huber 4-circle diffractometer	R_int = 0.226
Radiation source: neutron	θ_max = 32.5°, θ_min = 5.7°
ω scans	h = −2→3
56 measured reflections	k = 0→3
22 independent reflections	l = −4→4
15 reflections with I > 3σ(I)

Refinement top

Refinement on F	0 restraints
R[F² > 2σ(F²)] = 0.094	1 constraint
wR(F²) = 0.072	Weighting scheme based on measured s.u.'s w = 1/(σ²(F) + 0.0001F²)
S = 3.70	(Δ/σ)_max < 0.001
22 reflections	Extinction correction: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)
12 parameters

Special details top

Refinement. Joint refinement with synchrotron and neutron data. Cif-file refers only to neutron part

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

	x	y	z	U_iso*/U_eq	Occ. (<1)
Mn1	0.7649 (3)	0	0.25	0.0151 (8)	0.32 (2)
Fe1	0.7649 (3)	0	0.25	0.0151 (8)	0.68 (2)
Fe2	0.666667	0.333333	0	0.0132 (8)	0.98 (4)
Mn2	0.666667	0.333333	0	0.0132 (8)	0.02 (4)
Si1	0.3998 (5)	0	0.25	0.0131 (11)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Mn1	0.0161 (10)	0.0102 (11)	0.0171 (8)	0.0051 (5)	0	0
Fe1	0.0161 (10)	0.0102 (11)	0.0171 (8)	0.0051 (5)	0	0
Fe2	0.0132 (11)	0.0132 (11)	0.0133 (9)	0.0066 (5)	0	0
Mn2	0.0132 (11)	0.0132 (11)	0.0133 (9)	0.0066 (5)	0	0
Si1	0.0117 (14)	0.0102 (17)	0.0168 (10)	0.0051 (9)	0	0

Geometric parameters (Å, º) top

Mn1—Mn1ⁱ	2.757 (2)	Fe1—Fe2^vii	2.9018 (14)
Mn1—Mn1ⁱⁱ	2.757 (2)	Fe1—Fe2^viii	2.9018 (14)
Mn1—Mn1ⁱⁱⁱ	2.8400 (8)	Fe1—Fe2^ix	2.9018 (12)
Mn1—Mn1^iv	2.8400 (8)	Fe1—Mn2	2.9018 (12)
Mn1—Mn1^v	2.8400 (14)	Fe1—Mn2^vii	2.9018 (14)
Mn1—Mn1^vi	2.8400 (14)	Fe1—Mn2^viii	2.9018 (14)
Mn1—Fe1	0	Fe1—Mn2^ix	2.9018 (12)
Mn1—Fe1ⁱ	2.757 (2)	Fe1—Si1	2.472 (4)
Mn1—Fe1ⁱⁱ	2.757 (2)	Fe1—Si1^x	2.356 (3)
Mn1—Fe1ⁱⁱⁱ	2.8400 (8)	Fe1—Si1^xi	2.356 (3)
Mn1—Fe1^iv	2.8400 (8)	Fe1—Si1^xii	2.6033 (16)
Mn1—Fe1^v	2.8400 (14)	Fe1—Si1^vii	2.6033 (16)
Mn1—Fe1^vi	2.8400 (14)	Fe2—Fe2^xiii	2.3522 (2)
Mn1—Fe2	2.9018 (12)	Fe2—Fe2^ix	2.3522 (2)
Mn1—Fe2^vii	2.9018 (14)	Fe2—Mn2	0
Mn1—Fe2^viii	2.9018 (14)	Fe2—Mn2^xiii	2.3522 (2)
Mn1—Fe2^ix	2.9018 (12)	Fe2—Mn2^ix	2.3522 (2)
Mn1—Mn2	2.9018 (12)	Fe2—Si1	2.3797 (10)
Mn1—Mn2^vii	2.9018 (14)	Fe2—Si1^x	2.3797 (10)
Mn1—Mn2^viii	2.9018 (14)	Fe2—Si1^xiv	2.380 (3)
Mn1—Mn2^ix	2.9018 (12)	Fe2—Si1^xii	2.3797 (10)
Mn1—Si1	2.472 (4)	Fe2—Si1ⁱⁱⁱ	2.3797 (10)
Mn1—Si1^x	2.356 (3)	Fe2—Si1^xv	2.380 (3)
Mn1—Si1^xi	2.356 (3)	Mn2—Mn2^xiii	2.3522 (2)
Mn1—Si1^xii	2.6033 (16)	Mn2—Mn2^ix	2.3522 (2)
Mn1—Si1^vii	2.6033 (16)	Mn2—Si1	2.3797 (10)
Fe1—Fe1ⁱ	2.757 (2)	Mn2—Si1^x	2.3797 (10)
Fe1—Fe1ⁱⁱ	2.757 (2)	Mn2—Si1^xiv	2.380 (3)
Fe1—Fe1ⁱⁱⁱ	2.8400 (8)	Mn2—Si1^xii	2.3797 (10)
Fe1—Fe1^iv	2.8400 (8)	Mn2—Si1ⁱⁱⁱ	2.3797 (10)
Fe1—Fe1^v	2.8400 (14)	Mn2—Si1^xv	2.380 (3)
Fe1—Fe1^vi	2.8400 (14)	Si1—Si1^xii	2.715 (2)
Fe1—Fe2	2.9018 (12)	Si1—Si1^vii	2.715 (2)

Mn1ⁱ—Mn1—Mn1ⁱⁱ	60.00 (6)	Mn1^x—Fe2—Mn1^xii	157.09 (4)
Mn1ⁱ—Mn1—Mn1ⁱⁱⁱ	90.00 (6)	Mn1^x—Fe2—Mn1ⁱⁱⁱ	95.32 (3)
Mn1ⁱ—Mn1—Mn1^iv	90.00 (6)	Mn1^x—Fe2—Mn1^xv	58.60 (3)
Mn1ⁱ—Mn1—Mn1^v	60.97 (5)	Mn1^x—Fe2—Fe1	104.69 (3)
Mn1ⁱ—Mn1—Mn1^vi	60.97 (5)	Mn1^x—Fe2—Fe1^x	0
Mn1ⁱ—Mn1—Fe1	0	Mn1^x—Fe2—Fe1^xiv	104.69 (3)
Mn1ⁱ—Mn1—Fe1ⁱ	0	Mn1^x—Fe2—Fe1^xii	157.09 (4)
Mn1ⁱ—Mn1—Fe1ⁱⁱ	60.00 (6)	Mn1^x—Fe2—Fe1ⁱⁱⁱ	95.32 (3)
Mn1ⁱ—Mn1—Fe1ⁱⁱⁱ	90.00 (6)	Mn1^x—Fe2—Fe1^xv	58.60 (3)
Mn1ⁱ—Mn1—Fe1^iv	90.00 (6)	Mn1^x—Fe2—Fe2^xiii	113.910 (11)
Mn1ⁱ—Mn1—Fe1^v	60.97 (5)	Mn1^x—Fe2—Fe2^ix	66.090 (11)
Mn1ⁱ—Mn1—Fe1^vi	60.97 (5)	Mn1^x—Fe2—Mn2	0
Mn1ⁱ—Mn1—Fe2	150.70 (4)	Mn1^x—Fe2—Mn2^xiii	113.910 (11)
Mn1ⁱ—Mn1—Fe2^vii	101.45 (2)	Mn1^x—Fe2—Mn2^ix	66.090 (11)
Mn1ⁱ—Mn1—Fe2^viii	101.45 (2)	Mn1^x—Fe2—Si1	126.448 (15)
Mn1ⁱ—Mn1—Fe2^ix	150.70 (4)	Mn1^x—Fe2—Si1^x	54.74 (8)
Mn1ⁱ—Mn1—Mn2	150.70 (4)	Mn1^x—Fe2—Si1^xiv	51.85 (7)
Mn1ⁱ—Mn1—Mn2^vii	101.45 (2)	Mn1^x—Fe2—Si1^xii	146.97 (8)
Mn1ⁱ—Mn1—Mn2^viii	101.45 (2)	Mn1^x—Fe2—Si1ⁱⁱⁱ	58.06 (4)
Mn1ⁱ—Mn1—Mn2^ix	150.70 (4)	Mn1^x—Fe2—Si1^xv	106.95 (7)
Mn1ⁱ—Mn1—Si1	150.00 (3)	Mn1^xiv—Fe2—Mn1^xii	58.60 (3)
Mn1ⁱ—Mn1—Si1^x	114.20 (8)	Mn1^xiv—Fe2—Mn1ⁱⁱⁱ	157.10 (5)
Mn1ⁱ—Mn1—Si1^xi	54.20 (9)	Mn1^xiv—Fe2—Mn1^xv	95.32 (5)
Mn1ⁱ—Mn1—Si1^xii	111.78 (6)	Mn1^xiv—Fe2—Fe1	104.69 (5)
Mn1ⁱ—Mn1—Si1^vii	111.78 (6)	Mn1^xiv—Fe2—Fe1^x	104.69 (3)
Mn1ⁱⁱ—Mn1—Mn1ⁱⁱⁱ	60.97 (3)	Mn1^xiv—Fe2—Fe1^xiv	0
Mn1ⁱⁱ—Mn1—Mn1^iv	60.97 (3)	Mn1^xiv—Fe2—Fe1^xii	58.60 (3)
Mn1ⁱⁱ—Mn1—Mn1^v	90.00 (6)	Mn1^xiv—Fe2—Fe1ⁱⁱⁱ	157.10 (5)
Mn1ⁱⁱ—Mn1—Mn1^vi	90.00 (6)	Mn1^xiv—Fe2—Fe1^xv	95.32 (5)
Mn1ⁱⁱ—Mn1—Fe1	0	Mn1^xiv—Fe2—Fe2^xiii	113.910 (16)
Mn1ⁱⁱ—Mn1—Fe1ⁱ	60.00 (6)	Mn1^xiv—Fe2—Fe2^ix	66.090 (16)
Mn1ⁱⁱ—Mn1—Fe1ⁱⁱ	0	Mn1^xiv—Fe2—Mn2	0
Mn1ⁱⁱ—Mn1—Fe1ⁱⁱⁱ	60.97 (3)	Mn1^xiv—Fe2—Mn2^xiii	113.910 (16)
Mn1ⁱⁱ—Mn1—Fe1^iv	60.97 (3)	Mn1^xiv—Fe2—Mn2^ix	66.090 (16)
Mn1ⁱⁱ—Mn1—Fe1^v	90.00 (6)	Mn1^xiv—Fe2—Si1	51.85 (8)
Mn1ⁱⁱ—Mn1—Fe1^vi	90.00 (6)	Mn1^xiv—Fe2—Si1^x	126.45 (2)
Mn1ⁱⁱ—Mn1—Fe2	101.45 (4)	Mn1^xiv—Fe2—Si1^xiv	54.74 (7)
Mn1ⁱⁱ—Mn1—Fe2^vii	150.70 (4)	Mn1^xiv—Fe2—Si1^xii	106.95 (7)
Mn1ⁱⁱ—Mn1—Fe2^viii	150.70 (4)	Mn1^xiv—Fe2—Si1ⁱⁱⁱ	146.97 (8)
Mn1ⁱⁱ—Mn1—Fe2^ix	101.45 (4)	Mn1^xiv—Fe2—Si1^xv	58.06 (5)
Mn1ⁱⁱ—Mn1—Mn2	101.45 (4)	Mn1^xii—Fe2—Mn1ⁱⁱⁱ	104.69 (3)
Mn1ⁱⁱ—Mn1—Mn2^vii	150.70 (4)	Mn1^xii—Fe2—Mn1^xv	104.69 (3)
Mn1ⁱⁱ—Mn1—Mn2^viii	150.70 (4)	Mn1^xii—Fe2—Fe1	95.32 (3)
Mn1ⁱⁱ—Mn1—Mn2^ix	101.45 (4)	Mn1^xii—Fe2—Fe1^x	157.09 (4)
Mn1ⁱⁱ—Mn1—Si1	150.00 (5)	Mn1^xii—Fe2—Fe1^xiv	58.60 (3)
Mn1ⁱⁱ—Mn1—Si1^x	54.20 (7)	Mn1^xii—Fe2—Fe1^xii	0
Mn1ⁱⁱ—Mn1—Si1^xi	114.20 (12)	Mn1^xii—Fe2—Fe1ⁱⁱⁱ	104.69 (3)
Mn1ⁱⁱ—Mn1—Si1^xii	111.78 (6)	Mn1^xii—Fe2—Fe1^xv	104.69 (3)
Mn1ⁱⁱ—Mn1—Si1^vii	111.78 (6)	Mn1^xii—Fe2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Mn1^iv	111.83 (4)	Mn1^xii—Fe2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Mn1^v	58.07 (4)	Mn1^xii—Fe2—Mn2	0
Mn1ⁱⁱⁱ—Mn1—Mn1^vi	147.46 (9)	Mn1^xii—Fe2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Fe1	0	Mn1^xii—Fe2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Fe1ⁱ	90.00 (6)	Mn1^xii—Fe2—Si1	58.06 (4)
Mn1ⁱⁱⁱ—Mn1—Fe1ⁱⁱ	60.97 (3)	Mn1^xii—Fe2—Si1^x	146.97 (8)
Mn1ⁱⁱⁱ—Mn1—Fe1ⁱⁱⁱ	0	Mn1^xii—Fe2—Si1^xiv	106.95 (7)
Mn1ⁱⁱⁱ—Mn1—Fe1^iv	111.83 (4)	Mn1^xii—Fe2—Si1^xii	54.74 (8)
Mn1ⁱⁱⁱ—Mn1—Fe1^v	58.07 (4)	Mn1^xii—Fe2—Si1ⁱⁱⁱ	126.448 (15)
Mn1ⁱⁱⁱ—Mn1—Fe1^vi	147.46 (9)	Mn1^xii—Fe2—Si1^xv	51.85 (7)
Mn1ⁱⁱⁱ—Mn1—Fe2	60.70 (4)	Mn1ⁱⁱⁱ—Fe2—Mn1^xv	104.69 (5)
Mn1ⁱⁱⁱ—Mn1—Fe2^vii	146.69 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1	58.60 (4)
Mn1ⁱⁱⁱ—Mn1—Fe2^viii	99.462 (19)	Mn1ⁱⁱⁱ—Fe2—Fe1^x	95.32 (3)
Mn1ⁱⁱⁱ—Mn1—Fe2^ix	100.49 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1^xiv	157.10 (5)
Mn1ⁱⁱⁱ—Mn1—Mn2	60.70 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1^xii	104.69 (3)
Mn1ⁱⁱⁱ—Mn1—Mn2^vii	146.69 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1ⁱⁱⁱ	0
Mn1ⁱⁱⁱ—Mn1—Mn2^viii	99.462 (19)	Mn1ⁱⁱⁱ—Fe2—Fe1^xv	104.69 (5)
Mn1ⁱⁱⁱ—Mn1—Mn2^ix	100.49 (4)	Mn1ⁱⁱⁱ—Fe2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Si1	106.27 (4)	Mn1ⁱⁱⁱ—Fe2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Si1^x	59.26 (3)	Mn1ⁱⁱⁱ—Fe2—Mn2	0
Mn1ⁱⁱⁱ—Mn1—Si1^xi	117.03 (5)	Mn1ⁱⁱⁱ—Fe2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Si1^xii	51.08 (5)	Mn1ⁱⁱⁱ—Fe2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Si1^vii	150.27 (4)	Mn1ⁱⁱⁱ—Fe2—Si1	106.95 (7)
Mn1^iv—Mn1—Mn1^v	147.46 (9)	Mn1ⁱⁱⁱ—Fe2—Si1^x	58.06 (4)
Mn1^iv—Mn1—Mn1^vi	58.07 (4)	Mn1ⁱⁱⁱ—Fe2—Si1^xiv	146.97 (6)
Mn1^iv—Mn1—Fe1	0	Mn1ⁱⁱⁱ—Fe2—Si1^xii	51.85 (7)
Mn1^iv—Mn1—Fe1ⁱ	90.00 (6)	Mn1ⁱⁱⁱ—Fe2—Si1ⁱⁱⁱ	54.74 (8)
Mn1^iv—Mn1—Fe1ⁱⁱ	60.97 (3)	Mn1ⁱⁱⁱ—Fe2—Si1^xv	126.45 (5)
Mn1^iv—Mn1—Fe1ⁱⁱⁱ	111.83 (4)	Mn1^xv—Fe2—Fe1	157.10 (5)
Mn1^iv—Mn1—Fe1^iv	0	Mn1^xv—Fe2—Fe1^x	58.60 (3)
Mn1^iv—Mn1—Fe1^v	147.46 (9)	Mn1^xv—Fe2—Fe1^xiv	95.32 (5)
Mn1^iv—Mn1—Fe1^vi	58.07 (4)	Mn1^xv—Fe2—Fe1^xii	104.69 (3)
Mn1^iv—Mn1—Fe2	100.49 (4)	Mn1^xv—Fe2—Fe1ⁱⁱⁱ	104.69 (5)
Mn1^iv—Mn1—Fe2^vii	99.462 (19)	Mn1^xv—Fe2—Fe1^xv	0
Mn1^iv—Mn1—Fe2^viii	146.69 (4)	Mn1^xv—Fe2—Fe2^xiii	66.090 (16)
Mn1^iv—Mn1—Fe2^ix	60.70 (4)	Mn1^xv—Fe2—Fe2^ix	113.910 (16)
Mn1^iv—Mn1—Mn2	100.49 (4)	Mn1^xv—Fe2—Mn2	0
Mn1^iv—Mn1—Mn2^vii	99.462 (19)	Mn1^xv—Fe2—Mn2^xiii	66.090 (16)
Mn1^iv—Mn1—Mn2^viii	146.69 (4)	Mn1^xv—Fe2—Mn2^ix	113.910 (16)
Mn1^iv—Mn1—Mn2^ix	60.70 (4)	Mn1^xv—Fe2—Si1	146.97 (8)
Mn1^iv—Mn1—Si1	106.27 (4)	Mn1^xv—Fe2—Si1^x	106.95 (7)
Mn1^iv—Mn1—Si1^x	59.26 (3)	Mn1^xv—Fe2—Si1^xiv	58.06 (5)
Mn1^iv—Mn1—Si1^xi	117.03 (5)	Mn1^xv—Fe2—Si1^xii	126.45 (2)
Mn1^iv—Mn1—Si1^xii	150.27 (4)	Mn1^xv—Fe2—Si1ⁱⁱⁱ	51.85 (8)
Mn1^iv—Mn1—Si1^vii	51.08 (5)	Mn1^xv—Fe2—Si1^xv	54.74 (7)
Mn1^v—Mn1—Mn1^vi	111.83 (6)	Fe1—Fe2—Fe1^x	104.69 (3)
Mn1^v—Mn1—Fe1	0	Fe1—Fe2—Fe1^xiv	104.69 (5)
Mn1^v—Mn1—Fe1ⁱ	60.97 (5)	Fe1—Fe2—Fe1^xii	95.32 (3)
Mn1^v—Mn1—Fe1ⁱⁱ	90.00 (6)	Fe1—Fe2—Fe1ⁱⁱⁱ	58.60 (4)
Mn1^v—Mn1—Fe1ⁱⁱⁱ	58.07 (4)	Fe1—Fe2—Fe1^xv	157.10 (5)
Mn1^v—Mn1—Fe1^iv	147.46 (9)	Fe1—Fe2—Fe2^xiii	113.910 (11)
Mn1^v—Mn1—Fe1^v	0	Fe1—Fe2—Fe2^ix	66.090 (11)
Mn1^v—Mn1—Fe1^vi	111.83 (6)	Fe1—Fe2—Mn2	0
Mn1^v—Mn1—Fe2	99.46 (4)	Fe1—Fe2—Mn2^xiii	113.910 (11)
Mn1^v—Mn1—Fe2^vii	100.49 (3)	Fe1—Fe2—Mn2^ix	66.090 (11)
Mn1^v—Mn1—Fe2^viii	60.70 (4)	Fe1—Fe2—Si1	54.74 (8)
Mn1^v—Mn1—Fe2^ix	146.69 (6)	Fe1—Fe2—Si1^x	51.85 (7)
Mn1^v—Mn1—Mn2	99.46 (4)	Fe1—Fe2—Si1^xiv	126.45 (5)
Mn1^v—Mn1—Mn2^vii	100.49 (3)	Fe1—Fe2—Si1^xii	58.06 (4)
Mn1^v—Mn1—Mn2^viii	60.70 (4)	Fe1—Fe2—Si1ⁱⁱⁱ	106.95 (7)
Mn1^v—Mn1—Mn2^ix	146.69 (6)	Fe1—Fe2—Si1^xv	146.97 (6)
Mn1^v—Mn1—Si1	106.27 (6)	Fe1^x—Fe2—Fe1^xiv	104.69 (3)
Mn1^v—Mn1—Si1^x	117.03 (4)	Fe1^x—Fe2—Fe1^xii	157.09 (4)
Mn1^v—Mn1—Si1^xi	59.26 (4)	Fe1^x—Fe2—Fe1ⁱⁱⁱ	95.32 (3)
Mn1^v—Mn1—Si1^xii	51.08 (6)	Fe1^x—Fe2—Fe1^xv	58.60 (3)
Mn1^v—Mn1—Si1^vii	150.27 (4)	Fe1^x—Fe2—Fe2^xiii	113.910 (11)
Mn1^vi—Mn1—Fe1	0	Fe1^x—Fe2—Fe2^ix	66.090 (11)
Mn1^vi—Mn1—Fe1ⁱ	60.97 (5)	Fe1^x—Fe2—Mn2	0
Mn1^vi—Mn1—Fe1ⁱⁱ	90.00 (6)	Fe1^x—Fe2—Mn2^xiii	113.910 (11)
Mn1^vi—Mn1—Fe1ⁱⁱⁱ	147.46 (9)	Fe1^x—Fe2—Mn2^ix	66.090 (11)
Mn1^vi—Mn1—Fe1^iv	58.07 (4)	Fe1^x—Fe2—Si1	126.448 (15)
Mn1^vi—Mn1—Fe1^v	111.83 (6)	Fe1^x—Fe2—Si1^x	54.74 (8)
Mn1^vi—Mn1—Fe1^vi	0	Fe1^x—Fe2—Si1^xiv	51.85 (7)
Mn1^vi—Mn1—Fe2	146.69 (6)	Fe1^x—Fe2—Si1^xii	146.97 (8)
Mn1^vi—Mn1—Fe2^vii	60.70 (4)	Fe1^x—Fe2—Si1ⁱⁱⁱ	58.06 (4)
Mn1^vi—Mn1—Fe2^viii	100.49 (3)	Fe1^x—Fe2—Si1^xv	106.95 (7)
Mn1^vi—Mn1—Fe2^ix	99.46 (4)	Fe1^xiv—Fe2—Fe1^xii	58.60 (3)
Mn1^vi—Mn1—Mn2	146.69 (6)	Fe1^xiv—Fe2—Fe1ⁱⁱⁱ	157.10 (5)
Mn1^vi—Mn1—Mn2^vii	60.70 (4)	Fe1^xiv—Fe2—Fe1^xv	95.32 (5)
Mn1^vi—Mn1—Mn2^viii	100.49 (3)	Fe1^xiv—Fe2—Fe2^xiii	113.910 (16)
Mn1^vi—Mn1—Mn2^ix	99.46 (4)	Fe1^xiv—Fe2—Fe2^ix	66.090 (16)
Mn1^vi—Mn1—Si1	106.27 (6)	Fe1^xiv—Fe2—Mn2	0
Mn1^vi—Mn1—Si1^x	117.03 (4)	Fe1^xiv—Fe2—Mn2^xiii	113.910 (16)
Mn1^vi—Mn1—Si1^xi	59.26 (4)	Fe1^xiv—Fe2—Mn2^ix	66.090 (16)
Mn1^vi—Mn1—Si1^xii	150.27 (4)	Fe1^xiv—Fe2—Si1	51.85 (8)
Mn1^vi—Mn1—Si1^vii	51.08 (6)	Fe1^xiv—Fe2—Si1^x	126.45 (2)
Fe1—Mn1—Fe1ⁱ	0	Fe1^xiv—Fe2—Si1^xiv	54.74 (7)
Fe1—Mn1—Fe1ⁱⁱ	0	Fe1^xiv—Fe2—Si1^xii	106.95 (7)
Fe1—Mn1—Fe1ⁱⁱⁱ	0	Fe1^xiv—Fe2—Si1ⁱⁱⁱ	146.97 (8)
Fe1—Mn1—Fe1^iv	0	Fe1^xiv—Fe2—Si1^xv	58.06 (5)
Fe1—Mn1—Fe1^v	0	Fe1^xii—Fe2—Fe1ⁱⁱⁱ	104.69 (3)
Fe1—Mn1—Fe1^vi	0	Fe1^xii—Fe2—Fe1^xv	104.69 (3)
Fe1—Mn1—Fe2	0	Fe1^xii—Fe2—Fe2^xiii	66.090 (11)
Fe1—Mn1—Fe2^vii	0	Fe1^xii—Fe2—Fe2^ix	113.910 (11)
Fe1—Mn1—Fe2^viii	0	Fe1^xii—Fe2—Mn2	0
Fe1—Mn1—Fe2^ix	0	Fe1^xii—Fe2—Mn2^xiii	66.090 (11)
Fe1—Mn1—Mn2	0	Fe1^xii—Fe2—Mn2^ix	113.910 (11)
Fe1—Mn1—Mn2^vii	0	Fe1^xii—Fe2—Si1	58.06 (4)
Fe1—Mn1—Mn2^viii	0	Fe1^xii—Fe2—Si1^x	146.97 (8)
Fe1—Mn1—Mn2^ix	0	Fe1^xii—Fe2—Si1^xiv	106.95 (7)
Fe1—Mn1—Si1	0	Fe1^xii—Fe2—Si1^xii	54.74 (8)
Fe1—Mn1—Si1^x	0	Fe1^xii—Fe2—Si1ⁱⁱⁱ	126.448 (15)
Fe1—Mn1—Si1^xi	0	Fe1^xii—Fe2—Si1^xv	51.85 (7)
Fe1—Mn1—Si1^xii	0	Fe1ⁱⁱⁱ—Fe2—Fe1^xv	104.69 (5)
Fe1—Mn1—Si1^vii	0	Fe1ⁱⁱⁱ—Fe2—Fe2^xiii	66.090 (11)
Fe1ⁱ—Mn1—Fe1ⁱⁱ	60.00 (6)	Fe1ⁱⁱⁱ—Fe2—Fe2^ix	113.910 (11)
Fe1ⁱ—Mn1—Fe1ⁱⁱⁱ	90.00 (6)	Fe1ⁱⁱⁱ—Fe2—Mn2	0
Fe1ⁱ—Mn1—Fe1^iv	90.00 (6)	Fe1ⁱⁱⁱ—Fe2—Mn2^xiii	66.090 (11)
Fe1ⁱ—Mn1—Fe1^v	60.97 (5)	Fe1ⁱⁱⁱ—Fe2—Mn2^ix	113.910 (11)
Fe1ⁱ—Mn1—Fe1^vi	60.97 (5)	Fe1ⁱⁱⁱ—Fe2—Si1	106.95 (7)
Fe1ⁱ—Mn1—Fe2	150.70 (4)	Fe1ⁱⁱⁱ—Fe2—Si1^x	58.06 (4)
Fe1ⁱ—Mn1—Fe2^vii	101.45 (2)	Fe1ⁱⁱⁱ—Fe2—Si1^xiv	146.97 (6)
Fe1ⁱ—Mn1—Fe2^viii	101.45 (2)	Fe1ⁱⁱⁱ—Fe2—Si1^xii	51.85 (7)
Fe1ⁱ—Mn1—Fe2^ix	150.70 (4)	Fe1ⁱⁱⁱ—Fe2—Si1ⁱⁱⁱ	54.74 (8)
Fe1ⁱ—Mn1—Mn2	150.70 (4)	Fe1ⁱⁱⁱ—Fe2—Si1^xv	126.45 (5)
Fe1ⁱ—Mn1—Mn2^vii	101.45 (2)	Fe1^xv—Fe2—Fe2^xiii	66.090 (16)
Fe1ⁱ—Mn1—Mn2^viii	101.45 (2)	Fe1^xv—Fe2—Fe2^ix	113.910 (16)
Fe1ⁱ—Mn1—Mn2^ix	150.70 (4)	Fe1^xv—Fe2—Mn2	0
Fe1ⁱ—Mn1—Si1	150.00 (3)	Fe1^xv—Fe2—Mn2^xiii	66.090 (16)
Fe1ⁱ—Mn1—Si1^x	114.20 (8)	Fe1^xv—Fe2—Mn2^ix	113.910 (16)
Fe1ⁱ—Mn1—Si1^xi	54.20 (9)	Fe1^xv—Fe2—Si1	146.97 (8)
Fe1ⁱ—Mn1—Si1^xii	111.78 (6)	Fe1^xv—Fe2—Si1^x	106.95 (7)
Fe1ⁱ—Mn1—Si1^vii	111.78 (6)	Fe1^xv—Fe2—Si1^xiv	58.06 (5)
Fe1ⁱⁱ—Mn1—Fe1ⁱⁱⁱ	60.97 (3)	Fe1^xv—Fe2—Si1^xii	126.45 (2)
Fe1ⁱⁱ—Mn1—Fe1^iv	60.97 (3)	Fe1^xv—Fe2—Si1ⁱⁱⁱ	51.85 (8)
Fe1ⁱⁱ—Mn1—Fe1^v	90.00 (6)	Fe1^xv—Fe2—Si1^xv	54.74 (7)
Fe1ⁱⁱ—Mn1—Fe1^vi	90.00 (6)	Fe2^xiii—Fe2—Fe2^ix	180
Fe1ⁱⁱ—Mn1—Fe2	101.45 (4)	Fe2^xiii—Fe2—Mn2	0
Fe1ⁱⁱ—Mn1—Fe2^vii	150.70 (4)	Fe2^xiii—Fe2—Mn2^xiii	0
Fe1ⁱⁱ—Mn1—Fe2^viii	150.70 (4)	Fe2^xiii—Fe2—Mn2^ix	180
Fe1ⁱⁱ—Mn1—Fe2^ix	101.45 (4)	Fe2^xiii—Fe2—Si1	119.618 (13)
Fe1ⁱⁱ—Mn1—Mn2	101.45 (4)	Fe2^xiii—Fe2—Si1^x	119.618 (13)
Fe1ⁱⁱ—Mn1—Mn2^vii	150.70 (4)	Fe2^xiii—Fe2—Si1^xiv	119.62 (4)
Fe1ⁱⁱ—Mn1—Mn2^viii	150.70 (4)	Fe2^xiii—Fe2—Si1^xii	60.382 (13)
Fe1ⁱⁱ—Mn1—Mn2^ix	101.45 (4)	Fe2^xiii—Fe2—Si1ⁱⁱⁱ	60.382 (13)
Fe1ⁱⁱ—Mn1—Si1	150.00 (5)	Fe2^xiii—Fe2—Si1^xv	60.38 (4)
Fe1ⁱⁱ—Mn1—Si1^x	54.20 (7)	Fe2^ix—Fe2—Mn2	0
Fe1ⁱⁱ—Mn1—Si1^xi	114.20 (12)	Fe2^ix—Fe2—Mn2^xiii	180
Fe1ⁱⁱ—Mn1—Si1^xii	111.78 (6)	Fe2^ix—Fe2—Mn2^ix	0
Fe1ⁱⁱ—Mn1—Si1^vii	111.78 (6)	Fe2^ix—Fe2—Si1	60.382 (13)
Fe1ⁱⁱⁱ—Mn1—Fe1^iv	111.83 (4)	Fe2^ix—Fe2—Si1^x	60.382 (13)
Fe1ⁱⁱⁱ—Mn1—Fe1^v	58.07 (4)	Fe2^ix—Fe2—Si1^xiv	60.38 (4)
Fe1ⁱⁱⁱ—Mn1—Fe1^vi	147.46 (9)	Fe2^ix—Fe2—Si1^xii	119.618 (13)
Fe1ⁱⁱⁱ—Mn1—Fe2	60.70 (4)	Fe2^ix—Fe2—Si1ⁱⁱⁱ	119.618 (13)
Fe1ⁱⁱⁱ—Mn1—Fe2^vii	146.69 (4)	Fe2^ix—Fe2—Si1^xv	119.62 (4)
Fe1ⁱⁱⁱ—Mn1—Fe2^viii	99.462 (19)	Mn2—Fe2—Mn2^xiii	0
Fe1ⁱⁱⁱ—Mn1—Fe2^ix	100.49 (4)	Mn2—Fe2—Mn2^ix	0
Fe1ⁱⁱⁱ—Mn1—Mn2	60.70 (4)	Mn2—Fe2—Si1	0
Fe1ⁱⁱⁱ—Mn1—Mn2^vii	146.69 (4)	Mn2—Fe2—Si1^x	0
Fe1ⁱⁱⁱ—Mn1—Mn2^viii	99.462 (19)	Mn2—Fe2—Si1^xiv	0
Fe1ⁱⁱⁱ—Mn1—Mn2^ix	100.49 (4)	Mn2—Fe2—Si1^xii	0
Fe1ⁱⁱⁱ—Mn1—Si1	106.27 (4)	Mn2—Fe2—Si1ⁱⁱⁱ	0
Fe1ⁱⁱⁱ—Mn1—Si1^x	59.26 (3)	Mn2—Fe2—Si1^xv	0
Fe1ⁱⁱⁱ—Mn1—Si1^xi	117.03 (5)	Mn2^xiii—Fe2—Mn2^ix	180
Fe1ⁱⁱⁱ—Mn1—Si1^xii	51.08 (5)	Mn2^xiii—Fe2—Si1	119.618 (13)
Fe1ⁱⁱⁱ—Mn1—Si1^vii	150.27 (4)	Mn2^xiii—Fe2—Si1^x	119.618 (13)
Fe1^iv—Mn1—Fe1^v	147.46 (9)	Mn2^xiii—Fe2—Si1^xiv	119.62 (4)
Fe1^iv—Mn1—Fe1^vi	58.07 (4)	Mn2^xiii—Fe2—Si1^xii	60.382 (13)
Fe1^iv—Mn1—Fe2	100.49 (4)	Mn2^xiii—Fe2—Si1ⁱⁱⁱ	60.382 (13)
Fe1^iv—Mn1—Fe2^vii	99.462 (19)	Mn2^xiii—Fe2—Si1^xv	60.38 (4)
Fe1^iv—Mn1—Fe2^viii	146.69 (4)	Mn2^ix—Fe2—Si1	60.382 (13)
Fe1^iv—Mn1—Fe2^ix	60.70 (4)	Mn2^ix—Fe2—Si1^x	60.382 (13)
Fe1^iv—Mn1—Mn2	100.49 (4)	Mn2^ix—Fe2—Si1^xiv	60.38 (4)
Fe1^iv—Mn1—Mn2^vii	99.462 (19)	Mn2^ix—Fe2—Si1^xii	119.618 (13)
Fe1^iv—Mn1—Mn2^viii	146.69 (4)	Mn2^ix—Fe2—Si1ⁱⁱⁱ	119.618 (13)
Fe1^iv—Mn1—Mn2^ix	60.70 (4)	Mn2^ix—Fe2—Si1^xv	119.62 (4)
Fe1^iv—Mn1—Si1	106.27 (4)	Si1—Fe2—Si1^x	97.68 (8)
Fe1^iv—Mn1—Si1^x	59.26 (3)	Si1—Fe2—Si1^xiv	97.68 (6)
Fe1^iv—Mn1—Si1^xi	117.03 (5)	Si1—Fe2—Si1^xii	69.57 (4)
Fe1^iv—Mn1—Si1^xii	150.27 (4)	Si1—Fe2—Si1ⁱⁱⁱ	161.14 (10)
Fe1^iv—Mn1—Si1^vii	51.08 (5)	Si1—Fe2—Si1^xv	97.79 (8)
Fe1^v—Mn1—Fe1^vi	111.83 (6)	Si1^x—Fe2—Si1^xiv	97.68 (9)
Fe1^v—Mn1—Fe2	99.46 (4)	Si1^x—Fe2—Si1^xii	97.79 (10)
Fe1^v—Mn1—Fe2^vii	100.49 (3)	Si1^x—Fe2—Si1ⁱⁱⁱ	69.57 (4)
Fe1^v—Mn1—Fe2^viii	60.70 (4)	Si1^x—Fe2—Si1^xv	161.14 (9)
Fe1^v—Mn1—Fe2^ix	146.69 (6)	Si1^xiv—Fe2—Si1^xii	161.14 (9)
Fe1^v—Mn1—Mn2	99.46 (4)	Si1^xiv—Fe2—Si1ⁱⁱⁱ	97.79 (8)
Fe1^v—Mn1—Mn2^vii	100.49 (3)	Si1^xiv—Fe2—Si1^xv	69.57 (8)
Fe1^v—Mn1—Mn2^viii	60.70 (4)	Si1^xii—Fe2—Si1ⁱⁱⁱ	97.68 (8)
Fe1^v—Mn1—Mn2^ix	146.69 (6)	Si1^xii—Fe2—Si1^xv	97.68 (9)
Fe1^v—Mn1—Si1	106.27 (6)	Si1ⁱⁱⁱ—Fe2—Si1^xv	97.68 (6)
Fe1^v—Mn1—Si1^x	117.03 (4)	Mn1—Mn2—Mn1^x	104.69 (3)
Fe1^v—Mn1—Si1^xi	59.26 (4)	Mn1—Mn2—Mn1^xiv	104.69 (5)
Fe1^v—Mn1—Si1^xii	51.08 (6)	Mn1—Mn2—Mn1^xii	95.32 (3)
Fe1^v—Mn1—Si1^vii	150.27 (4)	Mn1—Mn2—Mn1ⁱⁱⁱ	58.60 (4)
Fe1^vi—Mn1—Fe2	146.69 (6)	Mn1—Mn2—Mn1^xv	157.10 (5)
Fe1^vi—Mn1—Fe2^vii	60.70 (4)	Mn1—Mn2—Fe1	0
Fe1^vi—Mn1—Fe2^viii	100.49 (3)	Mn1—Mn2—Fe1^x	104.69 (3)
Fe1^vi—Mn1—Fe2^ix	99.46 (4)	Mn1—Mn2—Fe1^xiv	104.69 (5)
Fe1^vi—Mn1—Mn2	146.69 (6)	Mn1—Mn2—Fe1^xii	95.32 (3)
Fe1^vi—Mn1—Mn2^vii	60.70 (4)	Mn1—Mn2—Fe1ⁱⁱⁱ	58.60 (4)
Fe1^vi—Mn1—Mn2^viii	100.49 (3)	Mn1—Mn2—Fe1^xv	157.10 (5)
Fe1^vi—Mn1—Mn2^ix	99.46 (4)	Mn1—Mn2—Fe2	0
Fe1^vi—Mn1—Si1	106.27 (6)	Mn1—Mn2—Fe2^xiii	113.910 (11)
Fe1^vi—Mn1—Si1^x	117.03 (4)	Mn1—Mn2—Fe2^ix	66.090 (11)
Fe1^vi—Mn1—Si1^xi	59.26 (4)	Mn1—Mn2—Mn2^xiii	113.910 (11)
Fe1^vi—Mn1—Si1^xii	150.27 (4)	Mn1—Mn2—Mn2^ix	66.090 (11)
Fe1^vi—Mn1—Si1^vii	51.08 (6)	Mn1—Mn2—Si1	54.74 (8)
Fe2—Mn1—Fe2^vii	103.64 (6)	Mn1—Mn2—Si1^x	51.85 (7)
Fe2—Mn1—Fe2^viii	84.68 (4)	Mn1—Mn2—Si1^xiv	126.45 (5)
Fe2—Mn1—Fe2^ix	47.82 (2)	Mn1—Mn2—Si1^xii	58.06 (4)
Fe2—Mn1—Mn2	0	Mn1—Mn2—Si1ⁱⁱⁱ	106.95 (7)
Fe2—Mn1—Mn2^vii	103.64 (6)	Mn1—Mn2—Si1^xv	146.97 (6)
Fe2—Mn1—Mn2^viii	84.68 (4)	Mn1^x—Mn2—Mn1^xiv	104.69 (3)
Fe2—Mn1—Mn2^ix	47.82 (2)	Mn1^x—Mn2—Mn1^xii	157.09 (4)
Fe2—Mn1—Si1	51.82 (3)	Mn1^x—Mn2—Mn1ⁱⁱⁱ	95.32 (3)
Fe2—Mn1—Si1^x	52.58 (4)	Mn1^x—Mn2—Mn1^xv	58.60 (3)
Fe2—Mn1—Si1^xi	137.10 (9)	Mn1^x—Mn2—Fe1	104.69 (3)
Fe2—Mn1—Si1^xii	50.87 (4)	Mn1^x—Mn2—Fe1^x	0
Fe2—Mn1—Si1^vii	95.82 (7)	Mn1^x—Mn2—Fe1^xiv	104.69 (3)
Fe2^vii—Mn1—Fe2^viii	47.82 (2)	Mn1^x—Mn2—Fe1^xii	157.09 (4)
Fe2^vii—Mn1—Fe2^ix	84.68 (4)	Mn1^x—Mn2—Fe1ⁱⁱⁱ	95.32 (3)
Fe2^vii—Mn1—Mn2	103.64 (6)	Mn1^x—Mn2—Fe1^xv	58.60 (3)
Fe2^vii—Mn1—Mn2^vii	0	Mn1^x—Mn2—Fe2	0
Fe2^vii—Mn1—Mn2^viii	47.82 (2)	Mn1^x—Mn2—Fe2^xiii	113.910 (11)
Fe2^vii—Mn1—Mn2^ix	84.68 (4)	Mn1^x—Mn2—Fe2^ix	66.090 (11)
Fe2^vii—Mn1—Si1	51.82 (3)	Mn1^x—Mn2—Mn2^xiii	113.910 (11)
Fe2^vii—Mn1—Si1^x	137.10 (7)	Mn1^x—Mn2—Mn2^ix	66.090 (11)
Fe2^vii—Mn1—Si1^xi	52.58 (7)	Mn1^x—Mn2—Si1	126.448 (15)
Fe2^vii—Mn1—Si1^xii	95.82 (7)	Mn1^x—Mn2—Si1^x	54.74 (8)
Fe2^vii—Mn1—Si1^vii	50.87 (4)	Mn1^x—Mn2—Si1^xiv	51.85 (7)
Fe2^viii—Mn1—Fe2^ix	103.64 (6)	Mn1^x—Mn2—Si1^xii	146.97 (8)
Fe2^viii—Mn1—Mn2	84.68 (4)	Mn1^x—Mn2—Si1ⁱⁱⁱ	58.06 (4)
Fe2^viii—Mn1—Mn2^vii	47.82 (2)	Mn1^x—Mn2—Si1^xv	106.95 (7)
Fe2^viii—Mn1—Mn2^viii	0	Mn1^xiv—Mn2—Mn1^xii	58.60 (3)
Fe2^viii—Mn1—Mn2^ix	103.64 (6)	Mn1^xiv—Mn2—Mn1ⁱⁱⁱ	157.10 (5)
Fe2^viii—Mn1—Si1	51.82 (3)	Mn1^xiv—Mn2—Mn1^xv	95.32 (5)
Fe2^viii—Mn1—Si1^x	137.10 (7)	Mn1^xiv—Mn2—Fe1	104.69 (5)
Fe2^viii—Mn1—Si1^xi	52.58 (7)	Mn1^xiv—Mn2—Fe1^x	104.69 (3)
Fe2^viii—Mn1—Si1^xii	50.87 (4)	Mn1^xiv—Mn2—Fe1^xiv	0
Fe2^viii—Mn1—Si1^vii	95.82 (7)	Mn1^xiv—Mn2—Fe1^xii	58.60 (3)
Fe2^ix—Mn1—Mn2	47.82 (2)	Mn1^xiv—Mn2—Fe1ⁱⁱⁱ	157.10 (5)
Fe2^ix—Mn1—Mn2^vii	84.68 (4)	Mn1^xiv—Mn2—Fe1^xv	95.32 (5)
Fe2^ix—Mn1—Mn2^viii	103.64 (6)	Mn1^xiv—Mn2—Fe2	0
Fe2^ix—Mn1—Mn2^ix	0	Mn1^xiv—Mn2—Fe2^xiii	113.910 (16)
Fe2^ix—Mn1—Si1	51.82 (3)	Mn1^xiv—Mn2—Fe2^ix	66.090 (16)
Fe2^ix—Mn1—Si1^x	52.58 (4)	Mn1^xiv—Mn2—Mn2^xiii	113.910 (16)
Fe2^ix—Mn1—Si1^xi	137.10 (9)	Mn1^xiv—Mn2—Mn2^ix	66.090 (16)
Fe2^ix—Mn1—Si1^xii	95.82 (7)	Mn1^xiv—Mn2—Si1	51.85 (8)
Fe2^ix—Mn1—Si1^vii	50.87 (4)	Mn1^xiv—Mn2—Si1^x	126.45 (2)
Mn2—Mn1—Mn2^vii	103.64 (6)	Mn1^xiv—Mn2—Si1^xiv	54.74 (7)
Mn2—Mn1—Mn2^viii	84.68 (4)	Mn1^xiv—Mn2—Si1^xii	106.95 (7)
Mn2—Mn1—Mn2^ix	47.82 (2)	Mn1^xiv—Mn2—Si1ⁱⁱⁱ	146.97 (8)
Mn2—Mn1—Si1	51.82 (3)	Mn1^xiv—Mn2—Si1^xv	58.06 (5)
Mn2—Mn1—Si1^x	52.58 (4)	Mn1^xii—Mn2—Mn1ⁱⁱⁱ	104.69 (3)
Mn2—Mn1—Si1^xi	137.10 (9)	Mn1^xii—Mn2—Mn1^xv	104.69 (3)
Mn2—Mn1—Si1^xii	50.87 (4)	Mn1^xii—Mn2—Fe1	95.32 (3)
Mn2—Mn1—Si1^vii	95.82 (7)	Mn1^xii—Mn2—Fe1^x	157.09 (4)
Mn2^vii—Mn1—Mn2^viii	47.82 (2)	Mn1^xii—Mn2—Fe1^xiv	58.60 (3)
Mn2^vii—Mn1—Mn2^ix	84.68 (4)	Mn1^xii—Mn2—Fe1^xii	0
Mn2^vii—Mn1—Si1	51.82 (3)	Mn1^xii—Mn2—Fe1ⁱⁱⁱ	104.69 (3)
Mn2^vii—Mn1—Si1^x	137.10 (7)	Mn1^xii—Mn2—Fe1^xv	104.69 (3)
Mn2^vii—Mn1—Si1^xi	52.58 (7)	Mn1^xii—Mn2—Fe2	0
Mn2^vii—Mn1—Si1^xii	95.82 (7)	Mn1^xii—Mn2—Fe2^xiii	66.090 (11)
Mn2^vii—Mn1—Si1^vii	50.87 (4)	Mn1^xii—Mn2—Fe2^ix	113.910 (11)
Mn2^viii—Mn1—Mn2^ix	103.64 (6)	Mn1^xii—Mn2—Mn2^xiii	66.090 (11)
Mn2^viii—Mn1—Si1	51.82 (3)	Mn1^xii—Mn2—Mn2^ix	113.910 (11)
Mn2^viii—Mn1—Si1^x	137.10 (7)	Mn1^xii—Mn2—Si1	58.06 (4)
Mn2^viii—Mn1—Si1^xi	52.58 (7)	Mn1^xii—Mn2—Si1^x	146.97 (8)
Mn2^viii—Mn1—Si1^xii	50.87 (4)	Mn1^xii—Mn2—Si1^xiv	106.95 (7)
Mn2^viii—Mn1—Si1^vii	95.82 (7)	Mn1^xii—Mn2—Si1^xii	54.74 (8)
Mn2^ix—Mn1—Si1	51.82 (3)	Mn1^xii—Mn2—Si1ⁱⁱⁱ	126.448 (15)
Mn2^ix—Mn1—Si1^x	52.58 (4)	Mn1^xii—Mn2—Si1^xv	51.85 (7)
Mn2^ix—Mn1—Si1^xi	137.10 (9)	Mn1ⁱⁱⁱ—Mn2—Mn1^xv	104.69 (5)
Mn2^ix—Mn1—Si1^xii	95.82 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1	58.60 (4)
Mn2^ix—Mn1—Si1^vii	50.87 (4)	Mn1ⁱⁱⁱ—Mn2—Fe1^x	95.32 (3)
Si1—Mn1—Si1^x	95.80 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1^xiv	157.10 (5)
Si1—Mn1—Si1^xi	95.80 (10)	Mn1ⁱⁱⁱ—Mn2—Fe1^xii	104.69 (3)
Si1—Mn1—Si1^xii	64.63 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1ⁱⁱⁱ	0
Si1—Mn1—Si1^vii	64.63 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1^xv	104.69 (5)
Si1^x—Mn1—Si1^xi	168.41 (13)	Mn1ⁱⁱⁱ—Mn2—Fe2	0
Si1^x—Mn1—Si1^xii	92.48 (3)	Mn1ⁱⁱⁱ—Mn2—Fe2^xiii	66.090 (11)
Si1^x—Mn1—Si1^vii	92.48 (3)	Mn1ⁱⁱⁱ—Mn2—Fe2^ix	113.910 (11)
Si1^xi—Mn1—Si1^xii	92.48 (4)	Mn1ⁱⁱⁱ—Mn2—Mn2^xiii	66.090 (11)
Si1^xi—Mn1—Si1^vii	92.48 (4)	Mn1ⁱⁱⁱ—Mn2—Mn2^ix	113.910 (11)
Si1^xii—Mn1—Si1^vii	129.26 (12)	Mn1ⁱⁱⁱ—Mn2—Si1	106.95 (7)
Mn1—Fe1—Mn1ⁱ	0	Mn1ⁱⁱⁱ—Mn2—Si1^x	58.06 (4)
Mn1—Fe1—Mn1ⁱⁱ	0	Mn1ⁱⁱⁱ—Mn2—Si1^xiv	146.97 (6)
Mn1—Fe1—Mn1ⁱⁱⁱ	0	Mn1ⁱⁱⁱ—Mn2—Si1^xii	51.85 (7)
Mn1—Fe1—Mn1^iv	0	Mn1ⁱⁱⁱ—Mn2—Si1ⁱⁱⁱ	54.74 (8)
Mn1—Fe1—Mn1^v	0	Mn1ⁱⁱⁱ—Mn2—Si1^xv	126.45 (5)
Mn1—Fe1—Mn1^vi	0	Mn1^xv—Mn2—Fe1	157.10 (5)
Mn1—Fe1—Fe1ⁱ	0	Mn1^xv—Mn2—Fe1^x	58.60 (3)
Mn1—Fe1—Fe1ⁱⁱ	0	Mn1^xv—Mn2—Fe1^xiv	95.32 (5)
Mn1—Fe1—Fe1ⁱⁱⁱ	0	Mn1^xv—Mn2—Fe1^xii	104.69 (3)
Mn1—Fe1—Fe1^iv	0	Mn1^xv—Mn2—Fe1ⁱⁱⁱ	104.69 (5)
Mn1—Fe1—Fe1^v	0	Mn1^xv—Mn2—Fe1^xv	0
Mn1—Fe1—Fe1^vi	0	Mn1^xv—Mn2—Fe2	0
Mn1—Fe1—Fe2	0	Mn1^xv—Mn2—Fe2^xiii	66.090 (16)
Mn1—Fe1—Fe2^vii	0	Mn1^xv—Mn2—Fe2^ix	113.910 (16)
Mn1—Fe1—Fe2^viii	0	Mn1^xv—Mn2—Mn2^xiii	66.090 (16)
Mn1—Fe1—Fe2^ix	0	Mn1^xv—Mn2—Mn2^ix	113.910 (16)
Mn1—Fe1—Mn2	0	Mn1^xv—Mn2—Si1	146.97 (8)
Mn1—Fe1—Mn2^vii	0	Mn1^xv—Mn2—Si1^x	106.95 (7)
Mn1—Fe1—Mn2^viii	0	Mn1^xv—Mn2—Si1^xiv	58.06 (5)
Mn1—Fe1—Mn2^ix	0	Mn1^xv—Mn2—Si1^xii	126.45 (2)
Mn1—Fe1—Si1	0	Mn1^xv—Mn2—Si1ⁱⁱⁱ	51.85 (8)
Mn1—Fe1—Si1^x	0	Mn1^xv—Mn2—Si1^xv	54.74 (7)
Mn1—Fe1—Si1^xi	0	Fe1—Mn2—Fe1^x	104.69 (3)
Mn1—Fe1—Si1^xii	0	Fe1—Mn2—Fe1^xiv	104.69 (5)
Mn1—Fe1—Si1^vii	0	Fe1—Mn2—Fe1^xii	95.32 (3)
Mn1ⁱ—Fe1—Mn1ⁱⁱ	60.00 (6)	Fe1—Mn2—Fe1ⁱⁱⁱ	58.60 (4)
Mn1ⁱ—Fe1—Mn1ⁱⁱⁱ	90.00 (6)	Fe1—Mn2—Fe1^xv	157.10 (5)
Mn1ⁱ—Fe1—Mn1^iv	90.00 (6)	Fe1—Mn2—Fe2	0
Mn1ⁱ—Fe1—Mn1^v	60.97 (5)	Fe1—Mn2—Fe2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Mn1^vi	60.97 (5)	Fe1—Mn2—Fe2^ix	66.090 (11)
Mn1ⁱ—Fe1—Fe1ⁱ	0	Fe1—Mn2—Mn2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Fe1ⁱⁱ	60.00 (6)	Fe1—Mn2—Mn2^ix	66.090 (11)
Mn1ⁱ—Fe1—Fe1ⁱⁱⁱ	90.00 (6)	Fe1—Mn2—Si1	54.74 (8)
Mn1ⁱ—Fe1—Fe1^iv	90.00 (6)	Fe1—Mn2—Si1^x	51.85 (7)
Mn1ⁱ—Fe1—Fe1^v	60.97 (5)	Fe1—Mn2—Si1^xiv	126.45 (5)
Mn1ⁱ—Fe1—Fe1^vi	60.97 (5)	Fe1—Mn2—Si1^xii	58.06 (4)
Mn1ⁱ—Fe1—Fe2	150.70 (4)	Fe1—Mn2—Si1ⁱⁱⁱ	106.95 (7)
Mn1ⁱ—Fe1—Fe2^vii	101.45 (2)	Fe1—Mn2—Si1^xv	146.97 (6)
Mn1ⁱ—Fe1—Fe2^viii	101.45 (2)	Fe1^x—Mn2—Fe1^xiv	104.69 (3)
Mn1ⁱ—Fe1—Fe2^ix	150.70 (4)	Fe1^x—Mn2—Fe1^xii	157.09 (4)
Mn1ⁱ—Fe1—Mn2	150.70 (4)	Fe1^x—Mn2—Fe1ⁱⁱⁱ	95.32 (3)
Mn1ⁱ—Fe1—Mn2^vii	101.45 (2)	Fe1^x—Mn2—Fe1^xv	58.60 (3)
Mn1ⁱ—Fe1—Mn2^viii	101.45 (2)	Fe1^x—Mn2—Fe2	0
Mn1ⁱ—Fe1—Mn2^ix	150.70 (4)	Fe1^x—Mn2—Fe2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Si1	150.00 (3)	Fe1^x—Mn2—Fe2^ix	66.090 (11)
Mn1ⁱ—Fe1—Si1^x	114.20 (8)	Fe1^x—Mn2—Mn2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Si1^xi	54.20 (9)	Fe1^x—Mn2—Mn2^ix	66.090 (11)
Mn1ⁱ—Fe1—Si1^xii	111.78 (6)	Fe1^x—Mn2—Si1	126.448 (15)
Mn1ⁱ—Fe1—Si1^vii	111.78 (6)	Fe1^x—Mn2—Si1^x	54.74 (8)
Mn1ⁱⁱ—Fe1—Mn1ⁱⁱⁱ	60.97 (3)	Fe1^x—Mn2—Si1^xiv	51.85 (7)
Mn1ⁱⁱ—Fe1—Mn1^iv	60.97 (3)	Fe1^x—Mn2—Si1^xii	146.97 (8)
Mn1ⁱⁱ—Fe1—Mn1^v	90.00 (6)	Fe1^x—Mn2—Si1ⁱⁱⁱ	58.06 (4)
Mn1ⁱⁱ—Fe1—Mn1^vi	90.00 (6)	Fe1^x—Mn2—Si1^xv	106.95 (7)
Mn1ⁱⁱ—Fe1—Fe1ⁱ	60.00 (6)	Fe1^xiv—Mn2—Fe1^xii	58.60 (3)
Mn1ⁱⁱ—Fe1—Fe1ⁱⁱ	0	Fe1^xiv—Mn2—Fe1ⁱⁱⁱ	157.10 (5)
Mn1ⁱⁱ—Fe1—Fe1ⁱⁱⁱ	60.97 (3)	Fe1^xiv—Mn2—Fe1^xv	95.32 (5)
Mn1ⁱⁱ—Fe1—Fe1^iv	60.97 (3)	Fe1^xiv—Mn2—Fe2	0
Mn1ⁱⁱ—Fe1—Fe1^v	90.00 (6)	Fe1^xiv—Mn2—Fe2^xiii	113.910 (16)
Mn1ⁱⁱ—Fe1—Fe1^vi	90.00 (6)	Fe1^xiv—Mn2—Fe2^ix	66.090 (16)
Mn1ⁱⁱ—Fe1—Fe2	101.45 (4)	Fe1^xiv—Mn2—Mn2^xiii	113.910 (16)
Mn1ⁱⁱ—Fe1—Fe2^vii	150.70 (4)	Fe1^xiv—Mn2—Mn2^ix	66.090 (16)
Mn1ⁱⁱ—Fe1—Fe2^viii	150.70 (4)	Fe1^xiv—Mn2—Si1	51.85 (8)
Mn1ⁱⁱ—Fe1—Fe2^ix	101.45 (4)	Fe1^xiv—Mn2—Si1^x	126.45 (2)
Mn1ⁱⁱ—Fe1—Mn2	101.45 (4)	Fe1^xiv—Mn2—Si1^xiv	54.74 (7)
Mn1ⁱⁱ—Fe1—Mn2^vii	150.70 (4)	Fe1^xiv—Mn2—Si1^xii	106.95 (7)
Mn1ⁱⁱ—Fe1—Mn2^viii	150.70 (4)	Fe1^xiv—Mn2—Si1ⁱⁱⁱ	146.97 (8)
Mn1ⁱⁱ—Fe1—Mn2^ix	101.45 (4)	Fe1^xiv—Mn2—Si1^xv	58.06 (5)
Mn1ⁱⁱ—Fe1—Si1	150.00 (5)	Fe1^xii—Mn2—Fe1ⁱⁱⁱ	104.69 (3)
Mn1ⁱⁱ—Fe1—Si1^x	54.20 (7)	Fe1^xii—Mn2—Fe1^xv	104.69 (3)
Mn1ⁱⁱ—Fe1—Si1^xi	114.20 (12)	Fe1^xii—Mn2—Fe2	0
Mn1ⁱⁱ—Fe1—Si1^xii	111.78 (6)	Fe1^xii—Mn2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱ—Fe1—Si1^vii	111.78 (6)	Fe1^xii—Mn2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Mn1^iv	111.83 (4)	Fe1^xii—Mn2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Fe1—Mn1^v	58.07 (4)	Fe1^xii—Mn2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Mn1^vi	147.46 (9)	Fe1^xii—Mn2—Si1	58.06 (4)
Mn1ⁱⁱⁱ—Fe1—Fe1ⁱ	90.00 (6)	Fe1^xii—Mn2—Si1^x	146.97 (8)
Mn1ⁱⁱⁱ—Fe1—Fe1ⁱⁱ	60.97 (3)	Fe1^xii—Mn2—Si1^xiv	106.95 (7)
Mn1ⁱⁱⁱ—Fe1—Fe1ⁱⁱⁱ	0	Fe1^xii—Mn2—Si1^xii	54.74 (8)
Mn1ⁱⁱⁱ—Fe1—Fe1^iv	111.83 (4)	Fe1^xii—Mn2—Si1ⁱⁱⁱ	126.448 (15)
Mn1ⁱⁱⁱ—Fe1—Fe1^v	58.07 (4)	Fe1^xii—Mn2—Si1^xv	51.85 (7)
Mn1ⁱⁱⁱ—Fe1—Fe1^vi	147.46 (9)	Fe1ⁱⁱⁱ—Mn2—Fe1^xv	104.69 (5)
Mn1ⁱⁱⁱ—Fe1—Fe2	60.70 (4)	Fe1ⁱⁱⁱ—Mn2—Fe2	0
Mn1ⁱⁱⁱ—Fe1—Fe2^vii	146.69 (4)	Fe1ⁱⁱⁱ—Mn2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Fe1—Fe2^viii	99.462 (19)	Fe1ⁱⁱⁱ—Mn2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Fe2^ix	100.49 (4)	Fe1ⁱⁱⁱ—Mn2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Fe1—Mn2	60.70 (4)	Fe1ⁱⁱⁱ—Mn2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Mn2^vii	146.69 (4)	Fe1ⁱⁱⁱ—Mn2—Si1	106.95 (7)
Mn1ⁱⁱⁱ—Fe1—Mn2^viii	99.462 (19)	Fe1ⁱⁱⁱ—Mn2—Si1^x	58.06 (4)
Mn1ⁱⁱⁱ—Fe1—Mn2^ix	100.49 (4)	Fe1ⁱⁱⁱ—Mn2—Si1^xiv	146.97 (6)
Mn1ⁱⁱⁱ—Fe1—Si1	106.27 (4)	Fe1ⁱⁱⁱ—Mn2—Si1^xii	51.85 (7)
Mn1ⁱⁱⁱ—Fe1—Si1^x	59.26 (3)	Fe1ⁱⁱⁱ—Mn2—Si1ⁱⁱⁱ	54.74 (8)
Mn1ⁱⁱⁱ—Fe1—Si1^xi	117.03 (5)	Fe1ⁱⁱⁱ—Mn2—Si1^xv	126.45 (5)
Mn1ⁱⁱⁱ—Fe1—Si1^xii	51.08 (5)	Fe1^xv—Mn2—Fe2	0
Mn1ⁱⁱⁱ—Fe1—Si1^vii	150.27 (4)	Fe1^xv—Mn2—Fe2^xiii	66.090 (16)
Mn1^iv—Fe1—Mn1^v	147.46 (9)	Fe1^xv—Mn2—Fe2^ix	113.910 (16)
Mn1^iv—Fe1—Mn1^vi	58.07 (4)	Fe1^xv—Mn2—Mn2^xiii	66.090 (16)
Mn1^iv—Fe1—Fe1ⁱ	90.00 (6)	Fe1^xv—Mn2—Mn2^ix	113.910 (16)
Mn1^iv—Fe1—Fe1ⁱⁱ	60.97 (3)	Fe1^xv—Mn2—Si1	146.97 (8)
Mn1^iv—Fe1—Fe1ⁱⁱⁱ	111.83 (4)	Fe1^xv—Mn2—Si1^x	106.95 (7)
Mn1^iv—Fe1—Fe1^iv	0	Fe1^xv—Mn2—Si1^xiv	58.06 (5)
Mn1^iv—Fe1—Fe1^v	147.46 (9)	Fe1^xv—Mn2—Si1^xii	126.45 (2)
Mn1^iv—Fe1—Fe1^vi	58.07 (4)	Fe1^xv—Mn2—Si1ⁱⁱⁱ	51.85 (8)
Mn1^iv—Fe1—Fe2	100.49 (4)	Fe1^xv—Mn2—Si1^xv	54.74 (7)
Mn1^iv—Fe1—Fe2^vii	99.462 (19)	Fe2—Mn2—Fe2^xiii	0
Mn1^iv—Fe1—Fe2^viii	146.69 (4)	Fe2—Mn2—Fe2^ix	0
Mn1^iv—Fe1—Fe2^ix	60.70 (4)	Fe2—Mn2—Mn2^xiii	0
Mn1^iv—Fe1—Mn2	100.49 (4)	Fe2—Mn2—Mn2^ix	0
Mn1^iv—Fe1—Mn2^vii	99.462 (19)	Fe2—Mn2—Si1	0
Mn1^iv—Fe1—Mn2^viii	146.69 (4)	Fe2—Mn2—Si1^x	0
Mn1^iv—Fe1—Mn2^ix	60.70 (4)	Fe2—Mn2—Si1^xiv	0
Mn1^iv—Fe1—Si1	106.27 (4)	Fe2—Mn2—Si1^xii	0
Mn1^iv—Fe1—Si1^x	59.26 (3)	Fe2—Mn2—Si1ⁱⁱⁱ	0
Mn1^iv—Fe1—Si1^xi	117.03 (5)	Fe2—Mn2—Si1^xv	0
Mn1^iv—Fe1—Si1^xii	150.27 (4)	Fe2^xiii—Mn2—Fe2^ix	180
Mn1^iv—Fe1—Si1^vii	51.08 (5)	Fe2^xiii—Mn2—Mn2^xiii	0
Mn1^v—Fe1—Mn1^vi	111.83 (6)	Fe2^xiii—Mn2—Mn2^ix	180
Mn1^v—Fe1—Fe1ⁱ	60.97 (5)	Fe2^xiii—Mn2—Si1	119.618 (13)
Mn1^v—Fe1—Fe1ⁱⁱ	90.00 (6)	Fe2^xiii—Mn2—Si1^x	119.618 (13)
Mn1^v—Fe1—Fe1ⁱⁱⁱ	58.07 (4)	Fe2^xiii—Mn2—Si1^xiv	119.62 (4)
Mn1^v—Fe1—Fe1^iv	147.46 (9)	Fe2^xiii—Mn2—Si1^xii	60.382 (13)
Mn1^v—Fe1—Fe1^v	0	Fe2^xiii—Mn2—Si1ⁱⁱⁱ	60.382 (13)
Mn1^v—Fe1—Fe1^vi	111.83 (6)	Fe2^xiii—Mn2—Si1^xv	60.38 (4)
Mn1^v—Fe1—Fe2	99.46 (4)	Fe2^ix—Mn2—Mn2^xiii	180
Mn1^v—Fe1—Fe2^vii	100.49 (3)	Fe2^ix—Mn2—Mn2^ix	0
Mn1^v—Fe1—Fe2^viii	60.70 (4)	Fe2^ix—Mn2—Si1	60.382 (13)
Mn1^v—Fe1—Fe2^ix	146.69 (6)	Fe2^ix—Mn2—Si1^x	60.382 (13)
Mn1^v—Fe1—Mn2	99.46 (4)	Fe2^ix—Mn2—Si1^xiv	60.38 (4)
Mn1^v—Fe1—Mn2^vii	100.49 (3)	Fe2^ix—Mn2—Si1^xii	119.618 (13)
Mn1^v—Fe1—Mn2^viii	60.70 (4)	Fe2^ix—Mn2—Si1ⁱⁱⁱ	119.618 (13)
Mn1^v—Fe1—Mn2^ix	146.69 (6)	Fe2^ix—Mn2—Si1^xv	119.62 (4)
Mn1^v—Fe1—Si1	106.27 (6)	Mn2^xiii—Mn2—Mn2^ix	180
Mn1^v—Fe1—Si1^x	117.03 (4)	Mn2^xiii—Mn2—Si1	119.618 (13)
Mn1^v—Fe1—Si1^xi	59.26 (4)	Mn2^xiii—Mn2—Si1^x	119.618 (13)
Mn1^v—Fe1—Si1^xii	51.08 (6)	Mn2^xiii—Mn2—Si1^xiv	119.62 (4)
Mn1^v—Fe1—Si1^vii	150.27 (4)	Mn2^xiii—Mn2—Si1^xii	60.382 (13)
Mn1^vi—Fe1—Fe1ⁱ	60.97 (5)	Mn2^xiii—Mn2—Si1ⁱⁱⁱ	60.382 (13)
Mn1^vi—Fe1—Fe1ⁱⁱ	90.00 (6)	Mn2^xiii—Mn2—Si1^xv	60.38 (4)
Mn1^vi—Fe1—Fe1ⁱⁱⁱ	147.46 (9)	Mn2^ix—Mn2—Si1	60.382 (13)
Mn1^vi—Fe1—Fe1^iv	58.07 (4)	Mn2^ix—Mn2—Si1^x	60.382 (13)
Mn1^vi—Fe1—Fe1^v	111.83 (6)	Mn2^ix—Mn2—Si1^xiv	60.38 (4)
Mn1^vi—Fe1—Fe1^vi	0	Mn2^ix—Mn2—Si1^xii	119.618 (13)
Mn1^vi—Fe1—Fe2	146.69 (6)	Mn2^ix—Mn2—Si1ⁱⁱⁱ	119.618 (13)
Mn1^vi—Fe1—Fe2^vii	60.70 (4)	Mn2^ix—Mn2—Si1^xv	119.62 (4)
Mn1^vi—Fe1—Fe2^viii	100.49 (3)	Si1—Mn2—Si1^x	97.68 (8)
Mn1^vi—Fe1—Fe2^ix	99.46 (4)	Si1—Mn2—Si1^xiv	97.68 (6)
Mn1^vi—Fe1—Mn2	146.69 (6)	Si1—Mn2—Si1^xii	69.57 (4)
Mn1^vi—Fe1—Mn2^vii	60.70 (4)	Si1—Mn2—Si1ⁱⁱⁱ	161.14 (10)
Mn1^vi—Fe1—Mn2^viii	100.49 (3)	Si1—Mn2—Si1^xv	97.79 (8)
Mn1^vi—Fe1—Mn2^ix	99.46 (4)	Si1^x—Mn2—Si1^xiv	97.68 (9)
Mn1^vi—Fe1—Si1	106.27 (6)	Si1^x—Mn2—Si1^xii	97.79 (10)
Mn1^vi—Fe1—Si1^x	117.03 (4)	Si1^x—Mn2—Si1ⁱⁱⁱ	69.57 (4)
Mn1^vi—Fe1—Si1^xi	59.26 (4)	Si1^x—Mn2—Si1^xv	161.14 (9)
Mn1^vi—Fe1—Si1^xii	150.27 (4)	Si1^xiv—Mn2—Si1^xii	161.14 (9)
Mn1^vi—Fe1—Si1^vii	51.08 (6)	Si1^xiv—Mn2—Si1ⁱⁱⁱ	97.79 (8)
Fe1ⁱ—Fe1—Fe1ⁱⁱ	60.00 (6)	Si1^xiv—Mn2—Si1^xv	69.57 (8)
Fe1ⁱ—Fe1—Fe1ⁱⁱⁱ	90.00 (6)	Si1^xii—Mn2—Si1ⁱⁱⁱ	97.68 (8)
Fe1ⁱ—Fe1—Fe1^iv	90.00 (6)	Si1^xii—Mn2—Si1^xv	97.68 (9)
Fe1ⁱ—Fe1—Fe1^v	60.97 (5)	Si1ⁱⁱⁱ—Mn2—Si1^xv	97.68 (6)
Fe1ⁱ—Fe1—Fe1^vi	60.97 (5)	Mn1—Si1—Mn1^xvi	144.20 (7)
Fe1ⁱ—Fe1—Fe2	150.70 (4)	Mn1—Si1—Mn1^xiv	144.20 (6)
Fe1ⁱ—Fe1—Fe2^vii	101.45 (2)	Mn1—Si1—Mn1^xii	115.37 (7)
Fe1ⁱ—Fe1—Fe2^viii	101.45 (2)	Mn1—Si1—Mn1^vii	115.37 (7)
Fe1ⁱ—Fe1—Fe2^ix	150.70 (4)	Mn1—Si1—Fe1	0
Fe1ⁱ—Fe1—Mn2	150.70 (4)	Mn1—Si1—Fe1^xvi	144.20 (7)
Fe1ⁱ—Fe1—Mn2^vii	101.45 (2)	Mn1—Si1—Fe1^xiv	144.20 (6)
Fe1ⁱ—Fe1—Mn2^viii	101.45 (2)	Mn1—Si1—Fe1^xii	115.37 (7)
Fe1ⁱ—Fe1—Mn2^ix	150.70 (4)	Mn1—Si1—Fe1^vii	115.37 (7)
Fe1ⁱ—Fe1—Si1	150.00 (3)	Mn1—Si1—Fe2	73.44 (7)
Fe1ⁱ—Fe1—Si1^x	114.20 (8)	Mn1—Si1—Fe2^vii	73.44 (7)
Fe1ⁱ—Fe1—Si1^xi	54.20 (9)	Mn1—Si1—Fe2^viii	73.44 (7)
Fe1ⁱ—Fe1—Si1^xii	111.78 (6)	Mn1—Si1—Fe2^ix	73.44 (7)
Fe1ⁱ—Fe1—Si1^vii	111.78 (6)	Mn1—Si1—Mn2	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1ⁱⁱⁱ	60.97 (3)	Mn1—Si1—Mn2^vii	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1^iv	60.97 (3)	Mn1—Si1—Mn2^viii	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1^v	90.00 (6)	Mn1—Si1—Mn2^ix	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1^vi	90.00 (6)	Mn1—Si1—Si1^xii	60.03 (8)
Fe1ⁱⁱ—Fe1—Fe2	101.45 (4)	Mn1—Si1—Si1^vii	60.03 (8)
Fe1ⁱⁱ—Fe1—Fe2^vii	150.70 (4)	Mn1^xvi—Si1—Mn1^xiv	71.59 (11)
Fe1ⁱⁱ—Fe1—Fe2^viii	150.70 (4)	Mn1^xvi—Si1—Mn1^xii	69.66 (7)
Fe1ⁱⁱ—Fe1—Fe2^ix	101.45 (4)	Mn1^xvi—Si1—Mn1^vii	69.66 (7)
Fe1ⁱⁱ—Fe1—Mn2	101.45 (4)	Mn1^xvi—Si1—Fe1	144.20 (7)
Fe1ⁱⁱ—Fe1—Mn2^vii	150.70 (4)	Mn1^xvi—Si1—Fe1^xvi	0
Fe1ⁱⁱ—Fe1—Mn2^viii	150.70 (4)	Mn1^xvi—Si1—Fe1^xiv	71.59 (11)
Fe1ⁱⁱ—Fe1—Mn2^ix	101.45 (4)	Mn1^xvi—Si1—Fe1^xii	69.66 (7)
Fe1ⁱⁱ—Fe1—Si1	150.00 (5)	Mn1^xvi—Si1—Fe1^vii	69.66 (7)
Fe1ⁱⁱ—Fe1—Si1^x	54.20 (7)	Mn1^xvi—Si1—Fe2	135.36 (10)
Fe1ⁱⁱ—Fe1—Si1^xi	114.20 (12)	Mn1^xvi—Si1—Fe2^vii	75.57 (5)
Fe1ⁱⁱ—Fe1—Si1^xii	111.78 (6)	Mn1^xvi—Si1—Fe2^viii	75.57 (5)
Fe1ⁱⁱ—Fe1—Si1^vii	111.78 (6)	Mn1^xvi—Si1—Fe2^ix	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Fe1^iv	111.83 (4)	Mn1^xvi—Si1—Mn2	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Fe1^v	58.07 (4)	Mn1^xvi—Si1—Mn2^vii	75.57 (5)
Fe1ⁱⁱⁱ—Fe1—Fe1^vi	147.46 (9)	Mn1^xvi—Si1—Mn2^viii	75.57 (5)
Fe1ⁱⁱⁱ—Fe1—Fe2	60.70 (4)	Mn1^xvi—Si1—Mn2^ix	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Fe2^vii	146.69 (4)	Mn1^xvi—Si1—Si1^xii	113.90 (6)
Fe1ⁱⁱⁱ—Fe1—Fe2^viii	99.462 (19)	Mn1^xvi—Si1—Si1^vii	113.90 (6)
Fe1ⁱⁱⁱ—Fe1—Fe2^ix	100.49 (4)	Mn1^xiv—Si1—Mn1^xii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Mn2	60.70 (4)	Mn1^xiv—Si1—Mn1^vii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Mn2^vii	146.69 (4)	Mn1^xiv—Si1—Fe1	144.20 (6)
Fe1ⁱⁱⁱ—Fe1—Mn2^viii	99.462 (19)	Mn1^xiv—Si1—Fe1^xvi	71.59 (11)
Fe1ⁱⁱⁱ—Fe1—Mn2^ix	100.49 (4)	Mn1^xiv—Si1—Fe1^xiv	0
Fe1ⁱⁱⁱ—Fe1—Si1	106.27 (4)	Mn1^xiv—Si1—Fe1^xii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Si1^x	59.26 (3)	Mn1^xiv—Si1—Fe1^vii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Si1^xi	117.03 (5)	Mn1^xiv—Si1—Fe2	75.57 (4)
Fe1ⁱⁱⁱ—Fe1—Si1^xii	51.08 (5)	Mn1^xiv—Si1—Fe2^vii	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Si1^vii	150.27 (4)	Mn1^xiv—Si1—Fe2^viii	135.36 (10)
Fe1^iv—Fe1—Fe1^v	147.46 (9)	Mn1^xiv—Si1—Fe2^ix	75.57 (4)
Fe1^iv—Fe1—Fe1^vi	58.07 (4)	Mn1^xiv—Si1—Mn2	75.57 (4)
Fe1^iv—Fe1—Fe2	100.49 (4)	Mn1^xiv—Si1—Mn2^vii	135.36 (10)
Fe1^iv—Fe1—Fe2^vii	99.462 (19)	Mn1^xiv—Si1—Mn2^viii	135.36 (10)
Fe1^iv—Fe1—Fe2^viii	146.69 (4)	Mn1^xiv—Si1—Mn2^ix	75.57 (4)
Fe1^iv—Fe1—Fe2^ix	60.70 (4)	Mn1^xiv—Si1—Si1^xii	113.90 (5)
Fe1^iv—Fe1—Mn2	100.49 (4)	Mn1^xiv—Si1—Si1^vii	113.90 (5)
Fe1^iv—Fe1—Mn2^vii	99.462 (19)	Mn1^xii—Si1—Mn1^vii	129.26 (14)
Fe1^iv—Fe1—Mn2^viii	146.69 (4)	Mn1^xii—Si1—Fe1	115.37 (7)
Fe1^iv—Fe1—Mn2^ix	60.70 (4)	Mn1^xii—Si1—Fe1^xvi	69.66 (7)
Fe1^iv—Fe1—Si1	106.27 (4)	Mn1^xii—Si1—Fe1^xiv	69.66 (7)
Fe1^iv—Fe1—Si1^x	59.26 (3)	Mn1^xii—Si1—Fe1^xii	0
Fe1^iv—Fe1—Si1^xi	117.03 (5)	Mn1^xii—Si1—Fe1^vii	129.26 (14)
Fe1^iv—Fe1—Si1^xii	150.27 (4)	Mn1^xii—Si1—Fe2	71.07 (2)
Fe1^iv—Fe1—Si1^vii	51.08 (5)	Mn1^xii—Si1—Fe2^vii	124.66 (2)
Fe1^v—Fe1—Fe1^vi	111.83 (6)	Mn1^xii—Si1—Fe2^viii	71.07 (2)
Fe1^v—Fe1—Fe2	99.46 (4)	Mn1^xii—Si1—Fe2^ix	124.66 (2)
Fe1^v—Fe1—Fe2^vii	100.49 (3)	Mn1^xii—Si1—Mn2	71.07 (2)
Fe1^v—Fe1—Fe2^viii	60.70 (4)	Mn1^xii—Si1—Mn2^vii	124.66 (2)
Fe1^v—Fe1—Fe2^ix	146.69 (6)	Mn1^xii—Si1—Mn2^viii	71.07 (2)
Fe1^v—Fe1—Mn2	99.46 (4)	Mn1^xii—Si1—Mn2^ix	124.66 (2)
Fe1^v—Fe1—Mn2^vii	100.49 (3)	Mn1^xii—Si1—Si1^xii	55.34 (7)
Fe1^v—Fe1—Mn2^viii	60.70 (4)	Mn1^xii—Si1—Si1^vii	175.40 (14)
Fe1^v—Fe1—Mn2^ix	146.69 (6)	Mn1^vii—Si1—Fe1	115.37 (7)
Fe1^v—Fe1—Si1	106.27 (6)	Mn1^vii—Si1—Fe1^xvi	69.66 (7)
Fe1^v—Fe1—Si1^x	117.03 (4)	Mn1^vii—Si1—Fe1^xiv	69.66 (7)
Fe1^v—Fe1—Si1^xi	59.26 (4)	Mn1^vii—Si1—Fe1^xii	129.26 (14)
Fe1^v—Fe1—Si1^xii	51.08 (6)	Mn1^vii—Si1—Fe1^vii	0
Fe1^v—Fe1—Si1^vii	150.27 (4)	Mn1^vii—Si1—Fe2	124.66 (2)
Fe1^vi—Fe1—Fe2	146.69 (6)	Mn1^vii—Si1—Fe2^vii	71.07 (2)
Fe1^vi—Fe1—Fe2^vii	60.70 (4)	Mn1^vii—Si1—Fe2^viii	124.66 (2)
Fe1^vi—Fe1—Fe2^viii	100.49 (3)	Mn1^vii—Si1—Fe2^ix	71.07 (2)
Fe1^vi—Fe1—Fe2^ix	99.46 (4)	Mn1^vii—Si1—Mn2	124.66 (2)
Fe1^vi—Fe1—Mn2	146.69 (6)	Mn1^vii—Si1—Mn2^vii	71.07 (2)
Fe1^vi—Fe1—Mn2^vii	60.70 (4)	Mn1^vii—Si1—Mn2^viii	124.66 (2)
Fe1^vi—Fe1—Mn2^viii	100.49 (3)	Mn1^vii—Si1—Mn2^ix	71.07 (2)
Fe1^vi—Fe1—Mn2^ix	99.46 (4)	Mn1^vii—Si1—Si1^xii	175.40 (14)
Fe1^vi—Fe1—Si1	106.27 (6)	Mn1^vii—Si1—Si1^vii	55.34 (7)
Fe1^vi—Fe1—Si1^x	117.03 (4)	Fe1—Si1—Fe1^xvi	144.20 (7)
Fe1^vi—Fe1—Si1^xi	59.26 (4)	Fe1—Si1—Fe1^xiv	144.20 (6)
Fe1^vi—Fe1—Si1^xii	150.27 (4)	Fe1—Si1—Fe1^xii	115.37 (7)
Fe1^vi—Fe1—Si1^vii	51.08 (6)	Fe1—Si1—Fe1^vii	115.37 (7)
Fe2—Fe1—Fe2^vii	103.64 (6)	Fe1—Si1—Fe2	73.44 (7)
Fe2—Fe1—Fe2^viii	84.68 (4)	Fe1—Si1—Fe2^vii	73.44 (7)
Fe2—Fe1—Fe2^ix	47.82 (2)	Fe1—Si1—Fe2^viii	73.44 (7)
Fe2—Fe1—Mn2	0	Fe1—Si1—Fe2^ix	73.44 (7)
Fe2—Fe1—Mn2^vii	103.64 (6)	Fe1—Si1—Mn2	73.44 (7)
Fe2—Fe1—Mn2^viii	84.68 (4)	Fe1—Si1—Mn2^vii	73.44 (7)
Fe2—Fe1—Mn2^ix	47.82 (2)	Fe1—Si1—Mn2^viii	73.44 (7)
Fe2—Fe1—Si1	51.82 (3)	Fe1—Si1—Mn2^ix	73.44 (7)
Fe2—Fe1—Si1^x	52.58 (4)	Fe1—Si1—Si1^xii	60.03 (8)
Fe2—Fe1—Si1^xi	137.10 (9)	Fe1—Si1—Si1^vii	60.03 (8)
Fe2—Fe1—Si1^xii	50.87 (4)	Fe1^xvi—Si1—Fe1^xiv	71.59 (11)
Fe2—Fe1—Si1^vii	95.82 (7)	Fe1^xvi—Si1—Fe1^xii	69.66 (7)
Fe2^vii—Fe1—Fe2^viii	47.82 (2)	Fe1^xvi—Si1—Fe1^vii	69.66 (7)
Fe2^vii—Fe1—Fe2^ix	84.68 (4)	Fe1^xvi—Si1—Fe2	135.36 (10)
Fe2^vii—Fe1—Mn2	103.64 (6)	Fe1^xvi—Si1—Fe2^vii	75.57 (5)
Fe2^vii—Fe1—Mn2^vii	0	Fe1^xvi—Si1—Fe2^viii	75.57 (5)
Fe2^vii—Fe1—Mn2^viii	47.82 (2)	Fe1^xvi—Si1—Fe2^ix	135.36 (10)
Fe2^vii—Fe1—Mn2^ix	84.68 (4)	Fe1^xvi—Si1—Mn2	135.36 (10)
Fe2^vii—Fe1—Si1	51.82 (3)	Fe1^xvi—Si1—Mn2^vii	75.57 (5)
Fe2^vii—Fe1—Si1^x	137.10 (7)	Fe1^xvi—Si1—Mn2^viii	75.57 (5)
Fe2^vii—Fe1—Si1^xi	52.58 (7)	Fe1^xvi—Si1—Mn2^ix	135.36 (10)
Fe2^vii—Fe1—Si1^xii	95.82 (7)	Fe1^xvi—Si1—Si1^xii	113.90 (6)
Fe2^vii—Fe1—Si1^vii	50.87 (4)	Fe1^xvi—Si1—Si1^vii	113.90 (6)
Fe2^viii—Fe1—Fe2^ix	103.64 (6)	Fe1^xiv—Si1—Fe1^xii	69.66 (7)
Fe2^viii—Fe1—Mn2	84.68 (4)	Fe1^xiv—Si1—Fe1^vii	69.66 (7)
Fe2^viii—Fe1—Mn2^vii	47.82 (2)	Fe1^xiv—Si1—Fe2	75.57 (4)
Fe2^viii—Fe1—Mn2^viii	0	Fe1^xiv—Si1—Fe2^vii	135.36 (10)
Fe2^viii—Fe1—Mn2^ix	103.64 (6)	Fe1^xiv—Si1—Fe2^viii	135.36 (10)
Fe2^viii—Fe1—Si1	51.82 (3)	Fe1^xiv—Si1—Fe2^ix	75.57 (4)
Fe2^viii—Fe1—Si1^x	137.10 (7)	Fe1^xiv—Si1—Mn2	75.57 (4)
Fe2^viii—Fe1—Si1^xi	52.58 (7)	Fe1^xiv—Si1—Mn2^vii	135.36 (10)
Fe2^viii—Fe1—Si1^xii	50.87 (4)	Fe1^xiv—Si1—Mn2^viii	135.36 (10)
Fe2^viii—Fe1—Si1^vii	95.82 (7)	Fe1^xiv—Si1—Mn2^ix	75.57 (4)
Fe2^ix—Fe1—Mn2	47.82 (2)	Fe1^xiv—Si1—Si1^xii	113.90 (5)
Fe2^ix—Fe1—Mn2^vii	84.68 (4)	Fe1^xiv—Si1—Si1^vii	113.90 (5)
Fe2^ix—Fe1—Mn2^viii	103.64 (6)	Fe1^xii—Si1—Fe1^vii	129.26 (14)
Fe2^ix—Fe1—Mn2^ix	0	Fe1^xii—Si1—Fe2	71.07 (2)
Fe2^ix—Fe1—Si1	51.82 (3)	Fe1^xii—Si1—Fe2^vii	124.66 (2)
Fe2^ix—Fe1—Si1^x	52.58 (4)	Fe1^xii—Si1—Fe2^viii	71.07 (2)
Fe2^ix—Fe1—Si1^xi	137.10 (9)	Fe1^xii—Si1—Fe2^ix	124.66 (2)
Fe2^ix—Fe1—Si1^xii	95.82 (7)	Fe1^xii—Si1—Mn2	71.07 (2)
Fe2^ix—Fe1—Si1^vii	50.87 (4)	Fe1^xii—Si1—Mn2^vii	124.66 (2)
Mn2—Fe1—Mn2^vii	103.64 (6)	Fe1^xii—Si1—Mn2^viii	71.07 (2)
Mn2—Fe1—Mn2^viii	84.68 (4)	Fe1^xii—Si1—Mn2^ix	124.66 (2)
Mn2—Fe1—Mn2^ix	47.82 (2)	Fe1^xii—Si1—Si1^xii	55.34 (7)
Mn2—Fe1—Si1	51.82 (3)	Fe1^xii—Si1—Si1^vii	175.40 (14)
Mn2—Fe1—Si1^x	52.58 (4)	Fe1^vii—Si1—Fe2	124.66 (2)
Mn2—Fe1—Si1^xi	137.10 (9)	Fe1^vii—Si1—Fe2^vii	71.07 (2)
Mn2—Fe1—Si1^xii	50.87 (4)	Fe1^vii—Si1—Fe2^viii	124.66 (2)
Mn2—Fe1—Si1^vii	95.82 (7)	Fe1^vii—Si1—Fe2^ix	71.07 (2)
Mn2^vii—Fe1—Mn2^viii	47.82 (2)	Fe1^vii—Si1—Mn2	124.66 (2)
Mn2^vii—Fe1—Mn2^ix	84.68 (4)	Fe1^vii—Si1—Mn2^vii	71.07 (2)
Mn2^vii—Fe1—Si1	51.82 (3)	Fe1^vii—Si1—Mn2^viii	124.66 (2)
Mn2^vii—Fe1—Si1^x	137.10 (7)	Fe1^vii—Si1—Mn2^ix	71.07 (2)
Mn2^vii—Fe1—Si1^xi	52.58 (7)	Fe1^vii—Si1—Si1^xii	175.40 (14)
Mn2^vii—Fe1—Si1^xii	95.82 (7)	Fe1^vii—Si1—Si1^vii	55.34 (7)
Mn2^vii—Fe1—Si1^vii	50.87 (4)	Fe2—Si1—Fe2^vii	146.88 (15)
Mn2^viii—Fe1—Mn2^ix	103.64 (6)	Fe2—Si1—Fe2^viii	110.43 (6)
Mn2^viii—Fe1—Si1	51.82 (3)	Fe2—Si1—Fe2^ix	59.24 (3)
Mn2^viii—Fe1—Si1^x	137.10 (7)	Fe2—Si1—Mn2	0
Mn2^viii—Fe1—Si1^xi	52.58 (7)	Fe2—Si1—Mn2^vii	146.88 (15)
Mn2^viii—Fe1—Si1^xii	50.87 (4)	Fe2—Si1—Mn2^viii	110.43 (6)
Mn2^viii—Fe1—Si1^vii	95.82 (7)	Fe2—Si1—Mn2^ix	59.24 (3)
Mn2^ix—Fe1—Si1	51.82 (3)	Fe2—Si1—Si1^xii	55.21 (3)
Mn2^ix—Fe1—Si1^x	52.58 (4)	Fe2—Si1—Si1^vii	106.60 (8)
Mn2^ix—Fe1—Si1^xi	137.10 (9)	Fe2^vii—Si1—Fe2^viii	59.24 (3)
Mn2^ix—Fe1—Si1^xii	95.82 (7)	Fe2^vii—Si1—Fe2^ix	110.43 (6)
Mn2^ix—Fe1—Si1^vii	50.87 (4)	Fe2^vii—Si1—Mn2	146.88 (15)
Si1—Fe1—Si1^x	95.80 (7)	Fe2^vii—Si1—Mn2^vii	0
Si1—Fe1—Si1^xi	95.80 (10)	Fe2^vii—Si1—Mn2^viii	59.24 (3)
Si1—Fe1—Si1^xii	64.63 (7)	Fe2^vii—Si1—Mn2^ix	110.43 (6)
Si1—Fe1—Si1^vii	64.63 (7)	Fe2^vii—Si1—Si1^xii	106.60 (8)
Si1^x—Fe1—Si1^xi	168.41 (13)	Fe2^vii—Si1—Si1^vii	55.21 (3)
Si1^x—Fe1—Si1^xii	92.48 (3)	Fe2^viii—Si1—Fe2^ix	146.88 (15)
Si1^x—Fe1—Si1^vii	92.48 (3)	Fe2^viii—Si1—Mn2	110.43 (6)
Si1^xi—Fe1—Si1^xii	92.48 (4)	Fe2^viii—Si1—Mn2^vii	59.24 (3)
Si1^xi—Fe1—Si1^vii	92.48 (4)	Fe2^viii—Si1—Mn2^viii	0
Si1^xii—Fe1—Si1^vii	129.26 (12)	Fe2^viii—Si1—Mn2^ix	146.88 (15)
Mn1—Fe2—Mn1^x	104.69 (3)	Fe2^viii—Si1—Si1^xii	55.21 (3)
Mn1—Fe2—Mn1^xiv	104.69 (5)	Fe2^viii—Si1—Si1^vii	106.60 (8)
Mn1—Fe2—Mn1^xii	95.32 (3)	Fe2^ix—Si1—Mn2	59.24 (3)
Mn1—Fe2—Mn1ⁱⁱⁱ	58.60 (4)	Fe2^ix—Si1—Mn2^vii	110.43 (6)
Mn1—Fe2—Mn1^xv	157.10 (5)	Fe2^ix—Si1—Mn2^viii	146.88 (15)
Mn1—Fe2—Fe1	0	Fe2^ix—Si1—Mn2^ix	0
Mn1—Fe2—Fe1^x	104.69 (3)	Fe2^ix—Si1—Si1^xii	106.60 (8)
Mn1—Fe2—Fe1^xiv	104.69 (5)	Fe2^ix—Si1—Si1^vii	55.21 (3)
Mn1—Fe2—Fe1^xii	95.32 (3)	Mn2—Si1—Mn2^vii	146.88 (15)
Mn1—Fe2—Fe1ⁱⁱⁱ	58.60 (4)	Mn2—Si1—Mn2^viii	110.43 (6)
Mn1—Fe2—Fe1^xv	157.10 (5)	Mn2—Si1—Mn2^ix	59.24 (3)
Mn1—Fe2—Fe2^xiii	113.910 (11)	Mn2—Si1—Si1^xii	55.21 (3)
Mn1—Fe2—Fe2^ix	66.090 (11)	Mn2—Si1—Si1^vii	106.60 (8)
Mn1—Fe2—Mn2	0	Mn2^vii—Si1—Mn2^viii	59.24 (3)
Mn1—Fe2—Mn2^xiii	113.910 (11)	Mn2^vii—Si1—Mn2^ix	110.43 (6)
Mn1—Fe2—Mn2^ix	66.090 (11)	Mn2^vii—Si1—Si1^xii	106.60 (8)
Mn1—Fe2—Si1	54.74 (8)	Mn2^vii—Si1—Si1^vii	55.21 (3)
Mn1—Fe2—Si1^x	51.85 (7)	Mn2^viii—Si1—Mn2^ix	146.88 (15)
Mn1—Fe2—Si1^xiv	126.45 (5)	Mn2^viii—Si1—Si1^xii	55.21 (3)
Mn1—Fe2—Si1^xii	58.06 (4)	Mn2^viii—Si1—Si1^vii	106.60 (8)
Mn1—Fe2—Si1ⁱⁱⁱ	106.95 (7)	Mn2^ix—Si1—Si1^xii	106.60 (8)
Mn1—Fe2—Si1^xv	146.97 (6)	Mn2^ix—Si1—Si1^vii	55.21 (3)
Mn1^x—Fe2—Mn1^xiv	104.69 (3)	Si1^xii—Si1—Si1^vii	120.06 (14)

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

(synchrotron) top

Crystal data top

Fe₄MnSi₃	D_x = 6.448 Mg m⁻³
M_r = 362.6	Synchrotron radiation, λ = 0.494 Å
Hexagonal, P6₃/mcm	Cell parameters from 679 reflections
Hall symbol: -P 6c;-2	θ = 3.0–23.4°
a = 6.7705 (6) Å	µ = 6.55 mm⁻¹
c = 4.7044 (2) Å	T = 293 K
V = 186.76 (2) Å³	Irregular, black
Z = 2	0.6 × 0.45 × 0.4 mm
F(000) = 342

Data collection top

Esperanto-CrysAlisPro-abstract goniometer imported esperanto images diffractometer	107 independent reflections
Radiation source: synchrotron	106 reflections with I > 3σ(I)
Synchrotron monochromator	R_int = 0.226
φ scans	θ_max = 23.4°, θ_min = 5.7°
Absorption correction: multi-scan CrysAlisPro 1.171.39.46 (Rigaku Oxford Diffraction, 2018) Empirical absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm.	h = −2→3
T_min = 0.795, T_max = 1	k = 0→3
606 measured reflections	l = −4→4

Refinement top

Refinement on F	0 constraints
R[F² > 2σ(F²)] = 0.062	Weighting scheme based on measured s.u.'s w = 1/(σ²(F) + 0.0001F²)
wR(F²) = 0.076	(Δ/σ)_max = 0.002
S = 6.02	Δρ_max = 1.41 e Å⁻³
107 reflections	Δρ_min = −1.49 e Å⁻³
14 parameters	Extinction correction: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)
0 restraints	Extinction coefficient: 15000 (3000)

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

	x	y	z	U_iso*/U_eq	Occ. (<1)
Mn1	0.7649 (3)	0	0.25	0.0151 (8)	0.32 (2)
Fe1	0.7649 (3)	0	0.25	0.0151 (8)	0.68 (2)
Fe2	0.666667	0.333333	0	0.0132 (8)	0.98 (4)
Mn2	0.666667	0.333333	0	0.0132 (8)	0.02 (4)
Si1	0.3998 (5)	0	0.25	0.0131 (11)

Atomic displacement parameters (Å²) top

	U¹¹	U²²	U³³	U¹²	U¹³	U²³
Mn1	0.0161 (10)	0.0102 (11)	0.0171 (8)	0.0051 (5)	0	0
Fe1	0.0161 (10)	0.0102 (11)	0.0171 (8)	0.0051 (5)	0	0
Fe2	0.0132 (11)	0.0132 (11)	0.0133 (9)	0.0066 (5)	0	0
Mn2	0.0132 (11)	0.0132 (11)	0.0133 (9)	0.0066 (5)	0	0
Si1	0.0117 (14)	0.0102 (17)	0.0168 (10)	0.0051 (9)	0	0

Geometric parameters (Å, º) top

Mn1—Mn1ⁱ	2.757 (2)	Fe1—Fe2^vii	2.9018 (14)
Mn1—Mn1ⁱⁱ	2.757 (2)	Fe1—Fe2^viii	2.9018 (14)
Mn1—Mn1ⁱⁱⁱ	2.8400 (8)	Fe1—Fe2^ix	2.9018 (12)
Mn1—Mn1^iv	2.8400 (8)	Fe1—Mn2	2.9018 (12)
Mn1—Mn1^v	2.8400 (14)	Fe1—Mn2^vii	2.9018 (14)
Mn1—Mn1^vi	2.8400 (14)	Fe1—Mn2^viii	2.9018 (14)
Mn1—Fe1	0	Fe1—Mn2^ix	2.9018 (12)
Mn1—Fe1ⁱ	2.757 (2)	Fe1—Si1	2.472 (4)
Mn1—Fe1ⁱⁱ	2.757 (2)	Fe1—Si1^x	2.356 (3)
Mn1—Fe1ⁱⁱⁱ	2.8400 (8)	Fe1—Si1^xi	2.356 (3)
Mn1—Fe1^iv	2.8400 (8)	Fe1—Si1^xii	2.6033 (16)
Mn1—Fe1^v	2.8400 (14)	Fe1—Si1^vii	2.6033 (16)
Mn1—Fe1^vi	2.8400 (14)	Fe2—Fe2^xiii	2.3522 (2)
Mn1—Fe2	2.9018 (12)	Fe2—Fe2^ix	2.3522 (2)
Mn1—Fe2^vii	2.9018 (14)	Fe2—Mn2	0
Mn1—Fe2^viii	2.9018 (14)	Fe2—Mn2^xiii	2.3522 (2)
Mn1—Fe2^ix	2.9018 (12)	Fe2—Mn2^ix	2.3522 (2)
Mn1—Mn2	2.9018 (12)	Fe2—Si1	2.3797 (10)
Mn1—Mn2^vii	2.9018 (14)	Fe2—Si1^x	2.3797 (10)
Mn1—Mn2^viii	2.9018 (14)	Fe2—Si1^xiv	2.380 (3)
Mn1—Mn2^ix	2.9018 (12)	Fe2—Si1^xii	2.3797 (10)
Mn1—Si1	2.472 (4)	Fe2—Si1ⁱⁱⁱ	2.3797 (10)
Mn1—Si1^x	2.356 (3)	Fe2—Si1^xv	2.380 (3)
Mn1—Si1^xi	2.356 (3)	Mn2—Mn2^xiii	2.3522 (2)
Mn1—Si1^xii	2.6033 (16)	Mn2—Mn2^ix	2.3522 (2)
Mn1—Si1^vii	2.6033 (16)	Mn2—Si1	2.3797 (10)
Fe1—Fe1ⁱ	2.757 (2)	Mn2—Si1^x	2.3797 (10)
Fe1—Fe1ⁱⁱ	2.757 (2)	Mn2—Si1^xiv	2.380 (3)
Fe1—Fe1ⁱⁱⁱ	2.8400 (8)	Mn2—Si1^xii	2.3797 (10)
Fe1—Fe1^iv	2.8400 (8)	Mn2—Si1ⁱⁱⁱ	2.3797 (10)
Fe1—Fe1^v	2.8400 (14)	Mn2—Si1^xv	2.380 (3)
Fe1—Fe1^vi	2.8400 (14)	Si1—Si1^xii	2.715 (2)
Fe1—Fe2	2.9018 (12)	Si1—Si1^vii	2.715 (2)

Mn1ⁱ—Mn1—Mn1ⁱⁱ	60.00 (6)	Mn1^x—Fe2—Mn1^xii	157.09 (4)
Mn1ⁱ—Mn1—Mn1ⁱⁱⁱ	90.00 (6)	Mn1^x—Fe2—Mn1ⁱⁱⁱ	95.32 (3)
Mn1ⁱ—Mn1—Mn1^iv	90.00 (6)	Mn1^x—Fe2—Mn1^xv	58.60 (3)
Mn1ⁱ—Mn1—Mn1^v	60.97 (5)	Mn1^x—Fe2—Fe1	104.69 (3)
Mn1ⁱ—Mn1—Mn1^vi	60.97 (5)	Mn1^x—Fe2—Fe1^x	0
Mn1ⁱ—Mn1—Fe1	0	Mn1^x—Fe2—Fe1^xiv	104.69 (3)
Mn1ⁱ—Mn1—Fe1ⁱ	0	Mn1^x—Fe2—Fe1^xii	157.09 (4)
Mn1ⁱ—Mn1—Fe1ⁱⁱ	60.00 (6)	Mn1^x—Fe2—Fe1ⁱⁱⁱ	95.32 (3)
Mn1ⁱ—Mn1—Fe1ⁱⁱⁱ	90.00 (6)	Mn1^x—Fe2—Fe1^xv	58.60 (3)
Mn1ⁱ—Mn1—Fe1^iv	90.00 (6)	Mn1^x—Fe2—Fe2^xiii	113.910 (11)
Mn1ⁱ—Mn1—Fe1^v	60.97 (5)	Mn1^x—Fe2—Fe2^ix	66.090 (11)
Mn1ⁱ—Mn1—Fe1^vi	60.97 (5)	Mn1^x—Fe2—Mn2	0
Mn1ⁱ—Mn1—Fe2	150.70 (4)	Mn1^x—Fe2—Mn2^xiii	113.910 (11)
Mn1ⁱ—Mn1—Fe2^vii	101.45 (2)	Mn1^x—Fe2—Mn2^ix	66.090 (11)
Mn1ⁱ—Mn1—Fe2^viii	101.45 (2)	Mn1^x—Fe2—Si1	126.448 (15)
Mn1ⁱ—Mn1—Fe2^ix	150.70 (4)	Mn1^x—Fe2—Si1^x	54.74 (8)
Mn1ⁱ—Mn1—Mn2	150.70 (4)	Mn1^x—Fe2—Si1^xiv	51.85 (7)
Mn1ⁱ—Mn1—Mn2^vii	101.45 (2)	Mn1^x—Fe2—Si1^xii	146.97 (8)
Mn1ⁱ—Mn1—Mn2^viii	101.45 (2)	Mn1^x—Fe2—Si1ⁱⁱⁱ	58.06 (4)
Mn1ⁱ—Mn1—Mn2^ix	150.70 (4)	Mn1^x—Fe2—Si1^xv	106.95 (7)
Mn1ⁱ—Mn1—Si1	150.00 (3)	Mn1^xiv—Fe2—Mn1^xii	58.60 (3)
Mn1ⁱ—Mn1—Si1^x	114.20 (8)	Mn1^xiv—Fe2—Mn1ⁱⁱⁱ	157.10 (5)
Mn1ⁱ—Mn1—Si1^xi	54.20 (9)	Mn1^xiv—Fe2—Mn1^xv	95.32 (5)
Mn1ⁱ—Mn1—Si1^xii	111.78 (6)	Mn1^xiv—Fe2—Fe1	104.69 (5)
Mn1ⁱ—Mn1—Si1^vii	111.78 (6)	Mn1^xiv—Fe2—Fe1^x	104.69 (3)
Mn1ⁱⁱ—Mn1—Mn1ⁱⁱⁱ	60.97 (3)	Mn1^xiv—Fe2—Fe1^xiv	0
Mn1ⁱⁱ—Mn1—Mn1^iv	60.97 (3)	Mn1^xiv—Fe2—Fe1^xii	58.60 (3)
Mn1ⁱⁱ—Mn1—Mn1^v	90.00 (6)	Mn1^xiv—Fe2—Fe1ⁱⁱⁱ	157.10 (5)
Mn1ⁱⁱ—Mn1—Mn1^vi	90.00 (6)	Mn1^xiv—Fe2—Fe1^xv	95.32 (5)
Mn1ⁱⁱ—Mn1—Fe1	0	Mn1^xiv—Fe2—Fe2^xiii	113.910 (16)
Mn1ⁱⁱ—Mn1—Fe1ⁱ	60.00 (6)	Mn1^xiv—Fe2—Fe2^ix	66.090 (16)
Mn1ⁱⁱ—Mn1—Fe1ⁱⁱ	0	Mn1^xiv—Fe2—Mn2	0
Mn1ⁱⁱ—Mn1—Fe1ⁱⁱⁱ	60.97 (3)	Mn1^xiv—Fe2—Mn2^xiii	113.910 (16)
Mn1ⁱⁱ—Mn1—Fe1^iv	60.97 (3)	Mn1^xiv—Fe2—Mn2^ix	66.090 (16)
Mn1ⁱⁱ—Mn1—Fe1^v	90.00 (6)	Mn1^xiv—Fe2—Si1	51.85 (8)
Mn1ⁱⁱ—Mn1—Fe1^vi	90.00 (6)	Mn1^xiv—Fe2—Si1^x	126.45 (2)
Mn1ⁱⁱ—Mn1—Fe2	101.45 (4)	Mn1^xiv—Fe2—Si1^xiv	54.74 (7)
Mn1ⁱⁱ—Mn1—Fe2^vii	150.70 (4)	Mn1^xiv—Fe2—Si1^xii	106.95 (7)
Mn1ⁱⁱ—Mn1—Fe2^viii	150.70 (4)	Mn1^xiv—Fe2—Si1ⁱⁱⁱ	146.97 (8)
Mn1ⁱⁱ—Mn1—Fe2^ix	101.45 (4)	Mn1^xiv—Fe2—Si1^xv	58.06 (5)
Mn1ⁱⁱ—Mn1—Mn2	101.45 (4)	Mn1^xii—Fe2—Mn1ⁱⁱⁱ	104.69 (3)
Mn1ⁱⁱ—Mn1—Mn2^vii	150.70 (4)	Mn1^xii—Fe2—Mn1^xv	104.69 (3)
Mn1ⁱⁱ—Mn1—Mn2^viii	150.70 (4)	Mn1^xii—Fe2—Fe1	95.32 (3)
Mn1ⁱⁱ—Mn1—Mn2^ix	101.45 (4)	Mn1^xii—Fe2—Fe1^x	157.09 (4)
Mn1ⁱⁱ—Mn1—Si1	150.00 (5)	Mn1^xii—Fe2—Fe1^xiv	58.60 (3)
Mn1ⁱⁱ—Mn1—Si1^x	54.20 (7)	Mn1^xii—Fe2—Fe1^xii	0
Mn1ⁱⁱ—Mn1—Si1^xi	114.20 (12)	Mn1^xii—Fe2—Fe1ⁱⁱⁱ	104.69 (3)
Mn1ⁱⁱ—Mn1—Si1^xii	111.78 (6)	Mn1^xii—Fe2—Fe1^xv	104.69 (3)
Mn1ⁱⁱ—Mn1—Si1^vii	111.78 (6)	Mn1^xii—Fe2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Mn1^iv	111.83 (4)	Mn1^xii—Fe2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Mn1^v	58.07 (4)	Mn1^xii—Fe2—Mn2	0
Mn1ⁱⁱⁱ—Mn1—Mn1^vi	147.46 (9)	Mn1^xii—Fe2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Fe1	0	Mn1^xii—Fe2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Fe1ⁱ	90.00 (6)	Mn1^xii—Fe2—Si1	58.06 (4)
Mn1ⁱⁱⁱ—Mn1—Fe1ⁱⁱ	60.97 (3)	Mn1^xii—Fe2—Si1^x	146.97 (8)
Mn1ⁱⁱⁱ—Mn1—Fe1ⁱⁱⁱ	0	Mn1^xii—Fe2—Si1^xiv	106.95 (7)
Mn1ⁱⁱⁱ—Mn1—Fe1^iv	111.83 (4)	Mn1^xii—Fe2—Si1^xii	54.74 (8)
Mn1ⁱⁱⁱ—Mn1—Fe1^v	58.07 (4)	Mn1^xii—Fe2—Si1ⁱⁱⁱ	126.448 (15)
Mn1ⁱⁱⁱ—Mn1—Fe1^vi	147.46 (9)	Mn1^xii—Fe2—Si1^xv	51.85 (7)
Mn1ⁱⁱⁱ—Mn1—Fe2	60.70 (4)	Mn1ⁱⁱⁱ—Fe2—Mn1^xv	104.69 (5)
Mn1ⁱⁱⁱ—Mn1—Fe2^vii	146.69 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1	58.60 (4)
Mn1ⁱⁱⁱ—Mn1—Fe2^viii	99.462 (19)	Mn1ⁱⁱⁱ—Fe2—Fe1^x	95.32 (3)
Mn1ⁱⁱⁱ—Mn1—Fe2^ix	100.49 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1^xiv	157.10 (5)
Mn1ⁱⁱⁱ—Mn1—Mn2	60.70 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1^xii	104.69 (3)
Mn1ⁱⁱⁱ—Mn1—Mn2^vii	146.69 (4)	Mn1ⁱⁱⁱ—Fe2—Fe1ⁱⁱⁱ	0
Mn1ⁱⁱⁱ—Mn1—Mn2^viii	99.462 (19)	Mn1ⁱⁱⁱ—Fe2—Fe1^xv	104.69 (5)
Mn1ⁱⁱⁱ—Mn1—Mn2^ix	100.49 (4)	Mn1ⁱⁱⁱ—Fe2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Si1	106.27 (4)	Mn1ⁱⁱⁱ—Fe2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Si1^x	59.26 (3)	Mn1ⁱⁱⁱ—Fe2—Mn2	0
Mn1ⁱⁱⁱ—Mn1—Si1^xi	117.03 (5)	Mn1ⁱⁱⁱ—Fe2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Mn1—Si1^xii	51.08 (5)	Mn1ⁱⁱⁱ—Fe2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Mn1—Si1^vii	150.27 (4)	Mn1ⁱⁱⁱ—Fe2—Si1	106.95 (7)
Mn1^iv—Mn1—Mn1^v	147.46 (9)	Mn1ⁱⁱⁱ—Fe2—Si1^x	58.06 (4)
Mn1^iv—Mn1—Mn1^vi	58.07 (4)	Mn1ⁱⁱⁱ—Fe2—Si1^xiv	146.97 (6)
Mn1^iv—Mn1—Fe1	0	Mn1ⁱⁱⁱ—Fe2—Si1^xii	51.85 (7)
Mn1^iv—Mn1—Fe1ⁱ	90.00 (6)	Mn1ⁱⁱⁱ—Fe2—Si1ⁱⁱⁱ	54.74 (8)
Mn1^iv—Mn1—Fe1ⁱⁱ	60.97 (3)	Mn1ⁱⁱⁱ—Fe2—Si1^xv	126.45 (5)
Mn1^iv—Mn1—Fe1ⁱⁱⁱ	111.83 (4)	Mn1^xv—Fe2—Fe1	157.10 (5)
Mn1^iv—Mn1—Fe1^iv	0	Mn1^xv—Fe2—Fe1^x	58.60 (3)
Mn1^iv—Mn1—Fe1^v	147.46 (9)	Mn1^xv—Fe2—Fe1^xiv	95.32 (5)
Mn1^iv—Mn1—Fe1^vi	58.07 (4)	Mn1^xv—Fe2—Fe1^xii	104.69 (3)
Mn1^iv—Mn1—Fe2	100.49 (4)	Mn1^xv—Fe2—Fe1ⁱⁱⁱ	104.69 (5)
Mn1^iv—Mn1—Fe2^vii	99.462 (19)	Mn1^xv—Fe2—Fe1^xv	0
Mn1^iv—Mn1—Fe2^viii	146.69 (4)	Mn1^xv—Fe2—Fe2^xiii	66.090 (16)
Mn1^iv—Mn1—Fe2^ix	60.70 (4)	Mn1^xv—Fe2—Fe2^ix	113.910 (16)
Mn1^iv—Mn1—Mn2	100.49 (4)	Mn1^xv—Fe2—Mn2	0
Mn1^iv—Mn1—Mn2^vii	99.462 (19)	Mn1^xv—Fe2—Mn2^xiii	66.090 (16)
Mn1^iv—Mn1—Mn2^viii	146.69 (4)	Mn1^xv—Fe2—Mn2^ix	113.910 (16)
Mn1^iv—Mn1—Mn2^ix	60.70 (4)	Mn1^xv—Fe2—Si1	146.97 (8)
Mn1^iv—Mn1—Si1	106.27 (4)	Mn1^xv—Fe2—Si1^x	106.95 (7)
Mn1^iv—Mn1—Si1^x	59.26 (3)	Mn1^xv—Fe2—Si1^xiv	58.06 (5)
Mn1^iv—Mn1—Si1^xi	117.03 (5)	Mn1^xv—Fe2—Si1^xii	126.45 (2)
Mn1^iv—Mn1—Si1^xii	150.27 (4)	Mn1^xv—Fe2—Si1ⁱⁱⁱ	51.85 (8)
Mn1^iv—Mn1—Si1^vii	51.08 (5)	Mn1^xv—Fe2—Si1^xv	54.74 (7)
Mn1^v—Mn1—Mn1^vi	111.83 (6)	Fe1—Fe2—Fe1^x	104.69 (3)
Mn1^v—Mn1—Fe1	0	Fe1—Fe2—Fe1^xiv	104.69 (5)
Mn1^v—Mn1—Fe1ⁱ	60.97 (5)	Fe1—Fe2—Fe1^xii	95.32 (3)
Mn1^v—Mn1—Fe1ⁱⁱ	90.00 (6)	Fe1—Fe2—Fe1ⁱⁱⁱ	58.60 (4)
Mn1^v—Mn1—Fe1ⁱⁱⁱ	58.07 (4)	Fe1—Fe2—Fe1^xv	157.10 (5)
Mn1^v—Mn1—Fe1^iv	147.46 (9)	Fe1—Fe2—Fe2^xiii	113.910 (11)
Mn1^v—Mn1—Fe1^v	0	Fe1—Fe2—Fe2^ix	66.090 (11)
Mn1^v—Mn1—Fe1^vi	111.83 (6)	Fe1—Fe2—Mn2	0
Mn1^v—Mn1—Fe2	99.46 (4)	Fe1—Fe2—Mn2^xiii	113.910 (11)
Mn1^v—Mn1—Fe2^vii	100.49 (3)	Fe1—Fe2—Mn2^ix	66.090 (11)
Mn1^v—Mn1—Fe2^viii	60.70 (4)	Fe1—Fe2—Si1	54.74 (8)
Mn1^v—Mn1—Fe2^ix	146.69 (6)	Fe1—Fe2—Si1^x	51.85 (7)
Mn1^v—Mn1—Mn2	99.46 (4)	Fe1—Fe2—Si1^xiv	126.45 (5)
Mn1^v—Mn1—Mn2^vii	100.49 (3)	Fe1—Fe2—Si1^xii	58.06 (4)
Mn1^v—Mn1—Mn2^viii	60.70 (4)	Fe1—Fe2—Si1ⁱⁱⁱ	106.95 (7)
Mn1^v—Mn1—Mn2^ix	146.69 (6)	Fe1—Fe2—Si1^xv	146.97 (6)
Mn1^v—Mn1—Si1	106.27 (6)	Fe1^x—Fe2—Fe1^xiv	104.69 (3)
Mn1^v—Mn1—Si1^x	117.03 (4)	Fe1^x—Fe2—Fe1^xii	157.09 (4)
Mn1^v—Mn1—Si1^xi	59.26 (4)	Fe1^x—Fe2—Fe1ⁱⁱⁱ	95.32 (3)
Mn1^v—Mn1—Si1^xii	51.08 (6)	Fe1^x—Fe2—Fe1^xv	58.60 (3)
Mn1^v—Mn1—Si1^vii	150.27 (4)	Fe1^x—Fe2—Fe2^xiii	113.910 (11)
Mn1^vi—Mn1—Fe1	0	Fe1^x—Fe2—Fe2^ix	66.090 (11)
Mn1^vi—Mn1—Fe1ⁱ	60.97 (5)	Fe1^x—Fe2—Mn2	0
Mn1^vi—Mn1—Fe1ⁱⁱ	90.00 (6)	Fe1^x—Fe2—Mn2^xiii	113.910 (11)
Mn1^vi—Mn1—Fe1ⁱⁱⁱ	147.46 (9)	Fe1^x—Fe2—Mn2^ix	66.090 (11)
Mn1^vi—Mn1—Fe1^iv	58.07 (4)	Fe1^x—Fe2—Si1	126.448 (15)
Mn1^vi—Mn1—Fe1^v	111.83 (6)	Fe1^x—Fe2—Si1^x	54.74 (8)
Mn1^vi—Mn1—Fe1^vi	0	Fe1^x—Fe2—Si1^xiv	51.85 (7)
Mn1^vi—Mn1—Fe2	146.69 (6)	Fe1^x—Fe2—Si1^xii	146.97 (8)
Mn1^vi—Mn1—Fe2^vii	60.70 (4)	Fe1^x—Fe2—Si1ⁱⁱⁱ	58.06 (4)
Mn1^vi—Mn1—Fe2^viii	100.49 (3)	Fe1^x—Fe2—Si1^xv	106.95 (7)
Mn1^vi—Mn1—Fe2^ix	99.46 (4)	Fe1^xiv—Fe2—Fe1^xii	58.60 (3)
Mn1^vi—Mn1—Mn2	146.69 (6)	Fe1^xiv—Fe2—Fe1ⁱⁱⁱ	157.10 (5)
Mn1^vi—Mn1—Mn2^vii	60.70 (4)	Fe1^xiv—Fe2—Fe1^xv	95.32 (5)
Mn1^vi—Mn1—Mn2^viii	100.49 (3)	Fe1^xiv—Fe2—Fe2^xiii	113.910 (16)
Mn1^vi—Mn1—Mn2^ix	99.46 (4)	Fe1^xiv—Fe2—Fe2^ix	66.090 (16)
Mn1^vi—Mn1—Si1	106.27 (6)	Fe1^xiv—Fe2—Mn2	0
Mn1^vi—Mn1—Si1^x	117.03 (4)	Fe1^xiv—Fe2—Mn2^xiii	113.910 (16)
Mn1^vi—Mn1—Si1^xi	59.26 (4)	Fe1^xiv—Fe2—Mn2^ix	66.090 (16)
Mn1^vi—Mn1—Si1^xii	150.27 (4)	Fe1^xiv—Fe2—Si1	51.85 (8)
Mn1^vi—Mn1—Si1^vii	51.08 (6)	Fe1^xiv—Fe2—Si1^x	126.45 (2)
Fe1—Mn1—Fe1ⁱ	0	Fe1^xiv—Fe2—Si1^xiv	54.74 (7)
Fe1—Mn1—Fe1ⁱⁱ	0	Fe1^xiv—Fe2—Si1^xii	106.95 (7)
Fe1—Mn1—Fe1ⁱⁱⁱ	0	Fe1^xiv—Fe2—Si1ⁱⁱⁱ	146.97 (8)
Fe1—Mn1—Fe1^iv	0	Fe1^xiv—Fe2—Si1^xv	58.06 (5)
Fe1—Mn1—Fe1^v	0	Fe1^xii—Fe2—Fe1ⁱⁱⁱ	104.69 (3)
Fe1—Mn1—Fe1^vi	0	Fe1^xii—Fe2—Fe1^xv	104.69 (3)
Fe1—Mn1—Fe2	0	Fe1^xii—Fe2—Fe2^xiii	66.090 (11)
Fe1—Mn1—Fe2^vii	0	Fe1^xii—Fe2—Fe2^ix	113.910 (11)
Fe1—Mn1—Fe2^viii	0	Fe1^xii—Fe2—Mn2	0
Fe1—Mn1—Fe2^ix	0	Fe1^xii—Fe2—Mn2^xiii	66.090 (11)
Fe1—Mn1—Mn2	0	Fe1^xii—Fe2—Mn2^ix	113.910 (11)
Fe1—Mn1—Mn2^vii	0	Fe1^xii—Fe2—Si1	58.06 (4)
Fe1—Mn1—Mn2^viii	0	Fe1^xii—Fe2—Si1^x	146.97 (8)
Fe1—Mn1—Mn2^ix	0	Fe1^xii—Fe2—Si1^xiv	106.95 (7)
Fe1—Mn1—Si1	0	Fe1^xii—Fe2—Si1^xii	54.74 (8)
Fe1—Mn1—Si1^x	0	Fe1^xii—Fe2—Si1ⁱⁱⁱ	126.448 (15)
Fe1—Mn1—Si1^xi	0	Fe1^xii—Fe2—Si1^xv	51.85 (7)
Fe1—Mn1—Si1^xii	0	Fe1ⁱⁱⁱ—Fe2—Fe1^xv	104.69 (5)
Fe1—Mn1—Si1^vii	0	Fe1ⁱⁱⁱ—Fe2—Fe2^xiii	66.090 (11)
Fe1ⁱ—Mn1—Fe1ⁱⁱ	60.00 (6)	Fe1ⁱⁱⁱ—Fe2—Fe2^ix	113.910 (11)
Fe1ⁱ—Mn1—Fe1ⁱⁱⁱ	90.00 (6)	Fe1ⁱⁱⁱ—Fe2—Mn2	0
Fe1ⁱ—Mn1—Fe1^iv	90.00 (6)	Fe1ⁱⁱⁱ—Fe2—Mn2^xiii	66.090 (11)
Fe1ⁱ—Mn1—Fe1^v	60.97 (5)	Fe1ⁱⁱⁱ—Fe2—Mn2^ix	113.910 (11)
Fe1ⁱ—Mn1—Fe1^vi	60.97 (5)	Fe1ⁱⁱⁱ—Fe2—Si1	106.95 (7)
Fe1ⁱ—Mn1—Fe2	150.70 (4)	Fe1ⁱⁱⁱ—Fe2—Si1^x	58.06 (4)
Fe1ⁱ—Mn1—Fe2^vii	101.45 (2)	Fe1ⁱⁱⁱ—Fe2—Si1^xiv	146.97 (6)
Fe1ⁱ—Mn1—Fe2^viii	101.45 (2)	Fe1ⁱⁱⁱ—Fe2—Si1^xii	51.85 (7)
Fe1ⁱ—Mn1—Fe2^ix	150.70 (4)	Fe1ⁱⁱⁱ—Fe2—Si1ⁱⁱⁱ	54.74 (8)
Fe1ⁱ—Mn1—Mn2	150.70 (4)	Fe1ⁱⁱⁱ—Fe2—Si1^xv	126.45 (5)
Fe1ⁱ—Mn1—Mn2^vii	101.45 (2)	Fe1^xv—Fe2—Fe2^xiii	66.090 (16)
Fe1ⁱ—Mn1—Mn2^viii	101.45 (2)	Fe1^xv—Fe2—Fe2^ix	113.910 (16)
Fe1ⁱ—Mn1—Mn2^ix	150.70 (4)	Fe1^xv—Fe2—Mn2	0
Fe1ⁱ—Mn1—Si1	150.00 (3)	Fe1^xv—Fe2—Mn2^xiii	66.090 (16)
Fe1ⁱ—Mn1—Si1^x	114.20 (8)	Fe1^xv—Fe2—Mn2^ix	113.910 (16)
Fe1ⁱ—Mn1—Si1^xi	54.20 (9)	Fe1^xv—Fe2—Si1	146.97 (8)
Fe1ⁱ—Mn1—Si1^xii	111.78 (6)	Fe1^xv—Fe2—Si1^x	106.95 (7)
Fe1ⁱ—Mn1—Si1^vii	111.78 (6)	Fe1^xv—Fe2—Si1^xiv	58.06 (5)
Fe1ⁱⁱ—Mn1—Fe1ⁱⁱⁱ	60.97 (3)	Fe1^xv—Fe2—Si1^xii	126.45 (2)
Fe1ⁱⁱ—Mn1—Fe1^iv	60.97 (3)	Fe1^xv—Fe2—Si1ⁱⁱⁱ	51.85 (8)
Fe1ⁱⁱ—Mn1—Fe1^v	90.00 (6)	Fe1^xv—Fe2—Si1^xv	54.74 (7)
Fe1ⁱⁱ—Mn1—Fe1^vi	90.00 (6)	Fe2^xiii—Fe2—Fe2^ix	180
Fe1ⁱⁱ—Mn1—Fe2	101.45 (4)	Fe2^xiii—Fe2—Mn2	0
Fe1ⁱⁱ—Mn1—Fe2^vii	150.70 (4)	Fe2^xiii—Fe2—Mn2^xiii	0
Fe1ⁱⁱ—Mn1—Fe2^viii	150.70 (4)	Fe2^xiii—Fe2—Mn2^ix	180
Fe1ⁱⁱ—Mn1—Fe2^ix	101.45 (4)	Fe2^xiii—Fe2—Si1	119.618 (13)
Fe1ⁱⁱ—Mn1—Mn2	101.45 (4)	Fe2^xiii—Fe2—Si1^x	119.618 (13)
Fe1ⁱⁱ—Mn1—Mn2^vii	150.70 (4)	Fe2^xiii—Fe2—Si1^xiv	119.62 (4)
Fe1ⁱⁱ—Mn1—Mn2^viii	150.70 (4)	Fe2^xiii—Fe2—Si1^xii	60.382 (13)
Fe1ⁱⁱ—Mn1—Mn2^ix	101.45 (4)	Fe2^xiii—Fe2—Si1ⁱⁱⁱ	60.382 (13)
Fe1ⁱⁱ—Mn1—Si1	150.00 (5)	Fe2^xiii—Fe2—Si1^xv	60.38 (4)
Fe1ⁱⁱ—Mn1—Si1^x	54.20 (7)	Fe2^ix—Fe2—Mn2	0
Fe1ⁱⁱ—Mn1—Si1^xi	114.20 (12)	Fe2^ix—Fe2—Mn2^xiii	180
Fe1ⁱⁱ—Mn1—Si1^xii	111.78 (6)	Fe2^ix—Fe2—Mn2^ix	0
Fe1ⁱⁱ—Mn1—Si1^vii	111.78 (6)	Fe2^ix—Fe2—Si1	60.382 (13)
Fe1ⁱⁱⁱ—Mn1—Fe1^iv	111.83 (4)	Fe2^ix—Fe2—Si1^x	60.382 (13)
Fe1ⁱⁱⁱ—Mn1—Fe1^v	58.07 (4)	Fe2^ix—Fe2—Si1^xiv	60.38 (4)
Fe1ⁱⁱⁱ—Mn1—Fe1^vi	147.46 (9)	Fe2^ix—Fe2—Si1^xii	119.618 (13)
Fe1ⁱⁱⁱ—Mn1—Fe2	60.70 (4)	Fe2^ix—Fe2—Si1ⁱⁱⁱ	119.618 (13)
Fe1ⁱⁱⁱ—Mn1—Fe2^vii	146.69 (4)	Fe2^ix—Fe2—Si1^xv	119.62 (4)
Fe1ⁱⁱⁱ—Mn1—Fe2^viii	99.462 (19)	Mn2—Fe2—Mn2^xiii	0
Fe1ⁱⁱⁱ—Mn1—Fe2^ix	100.49 (4)	Mn2—Fe2—Mn2^ix	0
Fe1ⁱⁱⁱ—Mn1—Mn2	60.70 (4)	Mn2—Fe2—Si1	0
Fe1ⁱⁱⁱ—Mn1—Mn2^vii	146.69 (4)	Mn2—Fe2—Si1^x	0
Fe1ⁱⁱⁱ—Mn1—Mn2^viii	99.462 (19)	Mn2—Fe2—Si1^xiv	0
Fe1ⁱⁱⁱ—Mn1—Mn2^ix	100.49 (4)	Mn2—Fe2—Si1^xii	0
Fe1ⁱⁱⁱ—Mn1—Si1	106.27 (4)	Mn2—Fe2—Si1ⁱⁱⁱ	0
Fe1ⁱⁱⁱ—Mn1—Si1^x	59.26 (3)	Mn2—Fe2—Si1^xv	0
Fe1ⁱⁱⁱ—Mn1—Si1^xi	117.03 (5)	Mn2^xiii—Fe2—Mn2^ix	180
Fe1ⁱⁱⁱ—Mn1—Si1^xii	51.08 (5)	Mn2^xiii—Fe2—Si1	119.618 (13)
Fe1ⁱⁱⁱ—Mn1—Si1^vii	150.27 (4)	Mn2^xiii—Fe2—Si1^x	119.618 (13)
Fe1^iv—Mn1—Fe1^v	147.46 (9)	Mn2^xiii—Fe2—Si1^xiv	119.62 (4)
Fe1^iv—Mn1—Fe1^vi	58.07 (4)	Mn2^xiii—Fe2—Si1^xii	60.382 (13)
Fe1^iv—Mn1—Fe2	100.49 (4)	Mn2^xiii—Fe2—Si1ⁱⁱⁱ	60.382 (13)
Fe1^iv—Mn1—Fe2^vii	99.462 (19)	Mn2^xiii—Fe2—Si1^xv	60.38 (4)
Fe1^iv—Mn1—Fe2^viii	146.69 (4)	Mn2^ix—Fe2—Si1	60.382 (13)
Fe1^iv—Mn1—Fe2^ix	60.70 (4)	Mn2^ix—Fe2—Si1^x	60.382 (13)
Fe1^iv—Mn1—Mn2	100.49 (4)	Mn2^ix—Fe2—Si1^xiv	60.38 (4)
Fe1^iv—Mn1—Mn2^vii	99.462 (19)	Mn2^ix—Fe2—Si1^xii	119.618 (13)
Fe1^iv—Mn1—Mn2^viii	146.69 (4)	Mn2^ix—Fe2—Si1ⁱⁱⁱ	119.618 (13)
Fe1^iv—Mn1—Mn2^ix	60.70 (4)	Mn2^ix—Fe2—Si1^xv	119.62 (4)
Fe1^iv—Mn1—Si1	106.27 (4)	Si1—Fe2—Si1^x	97.68 (8)
Fe1^iv—Mn1—Si1^x	59.26 (3)	Si1—Fe2—Si1^xiv	97.68 (6)
Fe1^iv—Mn1—Si1^xi	117.03 (5)	Si1—Fe2—Si1^xii	69.57 (4)
Fe1^iv—Mn1—Si1^xii	150.27 (4)	Si1—Fe2—Si1ⁱⁱⁱ	161.14 (10)
Fe1^iv—Mn1—Si1^vii	51.08 (5)	Si1—Fe2—Si1^xv	97.79 (8)
Fe1^v—Mn1—Fe1^vi	111.83 (6)	Si1^x—Fe2—Si1^xiv	97.68 (9)
Fe1^v—Mn1—Fe2	99.46 (4)	Si1^x—Fe2—Si1^xii	97.79 (10)
Fe1^v—Mn1—Fe2^vii	100.49 (3)	Si1^x—Fe2—Si1ⁱⁱⁱ	69.57 (4)
Fe1^v—Mn1—Fe2^viii	60.70 (4)	Si1^x—Fe2—Si1^xv	161.14 (9)
Fe1^v—Mn1—Fe2^ix	146.69 (6)	Si1^xiv—Fe2—Si1^xii	161.14 (9)
Fe1^v—Mn1—Mn2	99.46 (4)	Si1^xiv—Fe2—Si1ⁱⁱⁱ	97.79 (8)
Fe1^v—Mn1—Mn2^vii	100.49 (3)	Si1^xiv—Fe2—Si1^xv	69.57 (8)
Fe1^v—Mn1—Mn2^viii	60.70 (4)	Si1^xii—Fe2—Si1ⁱⁱⁱ	97.68 (8)
Fe1^v—Mn1—Mn2^ix	146.69 (6)	Si1^xii—Fe2—Si1^xv	97.68 (9)
Fe1^v—Mn1—Si1	106.27 (6)	Si1ⁱⁱⁱ—Fe2—Si1^xv	97.68 (6)
Fe1^v—Mn1—Si1^x	117.03 (4)	Mn1—Mn2—Mn1^x	104.69 (3)
Fe1^v—Mn1—Si1^xi	59.26 (4)	Mn1—Mn2—Mn1^xiv	104.69 (5)
Fe1^v—Mn1—Si1^xii	51.08 (6)	Mn1—Mn2—Mn1^xii	95.32 (3)
Fe1^v—Mn1—Si1^vii	150.27 (4)	Mn1—Mn2—Mn1ⁱⁱⁱ	58.60 (4)
Fe1^vi—Mn1—Fe2	146.69 (6)	Mn1—Mn2—Mn1^xv	157.10 (5)
Fe1^vi—Mn1—Fe2^vii	60.70 (4)	Mn1—Mn2—Fe1	0
Fe1^vi—Mn1—Fe2^viii	100.49 (3)	Mn1—Mn2—Fe1^x	104.69 (3)
Fe1^vi—Mn1—Fe2^ix	99.46 (4)	Mn1—Mn2—Fe1^xiv	104.69 (5)
Fe1^vi—Mn1—Mn2	146.69 (6)	Mn1—Mn2—Fe1^xii	95.32 (3)
Fe1^vi—Mn1—Mn2^vii	60.70 (4)	Mn1—Mn2—Fe1ⁱⁱⁱ	58.60 (4)
Fe1^vi—Mn1—Mn2^viii	100.49 (3)	Mn1—Mn2—Fe1^xv	157.10 (5)
Fe1^vi—Mn1—Mn2^ix	99.46 (4)	Mn1—Mn2—Fe2	0
Fe1^vi—Mn1—Si1	106.27 (6)	Mn1—Mn2—Fe2^xiii	113.910 (11)
Fe1^vi—Mn1—Si1^x	117.03 (4)	Mn1—Mn2—Fe2^ix	66.090 (11)
Fe1^vi—Mn1—Si1^xi	59.26 (4)	Mn1—Mn2—Mn2^xiii	113.910 (11)
Fe1^vi—Mn1—Si1^xii	150.27 (4)	Mn1—Mn2—Mn2^ix	66.090 (11)
Fe1^vi—Mn1—Si1^vii	51.08 (6)	Mn1—Mn2—Si1	54.74 (8)
Fe2—Mn1—Fe2^vii	103.64 (6)	Mn1—Mn2—Si1^x	51.85 (7)
Fe2—Mn1—Fe2^viii	84.68 (4)	Mn1—Mn2—Si1^xiv	126.45 (5)
Fe2—Mn1—Fe2^ix	47.82 (2)	Mn1—Mn2—Si1^xii	58.06 (4)
Fe2—Mn1—Mn2	0	Mn1—Mn2—Si1ⁱⁱⁱ	106.95 (7)
Fe2—Mn1—Mn2^vii	103.64 (6)	Mn1—Mn2—Si1^xv	146.97 (6)
Fe2—Mn1—Mn2^viii	84.68 (4)	Mn1^x—Mn2—Mn1^xiv	104.69 (3)
Fe2—Mn1—Mn2^ix	47.82 (2)	Mn1^x—Mn2—Mn1^xii	157.09 (4)
Fe2—Mn1—Si1	51.82 (3)	Mn1^x—Mn2—Mn1ⁱⁱⁱ	95.32 (3)
Fe2—Mn1—Si1^x	52.58 (4)	Mn1^x—Mn2—Mn1^xv	58.60 (3)
Fe2—Mn1—Si1^xi	137.10 (9)	Mn1^x—Mn2—Fe1	104.69 (3)
Fe2—Mn1—Si1^xii	50.87 (4)	Mn1^x—Mn2—Fe1^x	0
Fe2—Mn1—Si1^vii	95.82 (7)	Mn1^x—Mn2—Fe1^xiv	104.69 (3)
Fe2^vii—Mn1—Fe2^viii	47.82 (2)	Mn1^x—Mn2—Fe1^xii	157.09 (4)
Fe2^vii—Mn1—Fe2^ix	84.68 (4)	Mn1^x—Mn2—Fe1ⁱⁱⁱ	95.32 (3)
Fe2^vii—Mn1—Mn2	103.64 (6)	Mn1^x—Mn2—Fe1^xv	58.60 (3)
Fe2^vii—Mn1—Mn2^vii	0	Mn1^x—Mn2—Fe2	0
Fe2^vii—Mn1—Mn2^viii	47.82 (2)	Mn1^x—Mn2—Fe2^xiii	113.910 (11)
Fe2^vii—Mn1—Mn2^ix	84.68 (4)	Mn1^x—Mn2—Fe2^ix	66.090 (11)
Fe2^vii—Mn1—Si1	51.82 (3)	Mn1^x—Mn2—Mn2^xiii	113.910 (11)
Fe2^vii—Mn1—Si1^x	137.10 (7)	Mn1^x—Mn2—Mn2^ix	66.090 (11)
Fe2^vii—Mn1—Si1^xi	52.58 (7)	Mn1^x—Mn2—Si1	126.448 (15)
Fe2^vii—Mn1—Si1^xii	95.82 (7)	Mn1^x—Mn2—Si1^x	54.74 (8)
Fe2^vii—Mn1—Si1^vii	50.87 (4)	Mn1^x—Mn2—Si1^xiv	51.85 (7)
Fe2^viii—Mn1—Fe2^ix	103.64 (6)	Mn1^x—Mn2—Si1^xii	146.97 (8)
Fe2^viii—Mn1—Mn2	84.68 (4)	Mn1^x—Mn2—Si1ⁱⁱⁱ	58.06 (4)
Fe2^viii—Mn1—Mn2^vii	47.82 (2)	Mn1^x—Mn2—Si1^xv	106.95 (7)
Fe2^viii—Mn1—Mn2^viii	0	Mn1^xiv—Mn2—Mn1^xii	58.60 (3)
Fe2^viii—Mn1—Mn2^ix	103.64 (6)	Mn1^xiv—Mn2—Mn1ⁱⁱⁱ	157.10 (5)
Fe2^viii—Mn1—Si1	51.82 (3)	Mn1^xiv—Mn2—Mn1^xv	95.32 (5)
Fe2^viii—Mn1—Si1^x	137.10 (7)	Mn1^xiv—Mn2—Fe1	104.69 (5)
Fe2^viii—Mn1—Si1^xi	52.58 (7)	Mn1^xiv—Mn2—Fe1^x	104.69 (3)
Fe2^viii—Mn1—Si1^xii	50.87 (4)	Mn1^xiv—Mn2—Fe1^xiv	0
Fe2^viii—Mn1—Si1^vii	95.82 (7)	Mn1^xiv—Mn2—Fe1^xii	58.60 (3)
Fe2^ix—Mn1—Mn2	47.82 (2)	Mn1^xiv—Mn2—Fe1ⁱⁱⁱ	157.10 (5)
Fe2^ix—Mn1—Mn2^vii	84.68 (4)	Mn1^xiv—Mn2—Fe1^xv	95.32 (5)
Fe2^ix—Mn1—Mn2^viii	103.64 (6)	Mn1^xiv—Mn2—Fe2	0
Fe2^ix—Mn1—Mn2^ix	0	Mn1^xiv—Mn2—Fe2^xiii	113.910 (16)
Fe2^ix—Mn1—Si1	51.82 (3)	Mn1^xiv—Mn2—Fe2^ix	66.090 (16)
Fe2^ix—Mn1—Si1^x	52.58 (4)	Mn1^xiv—Mn2—Mn2^xiii	113.910 (16)
Fe2^ix—Mn1—Si1^xi	137.10 (9)	Mn1^xiv—Mn2—Mn2^ix	66.090 (16)
Fe2^ix—Mn1—Si1^xii	95.82 (7)	Mn1^xiv—Mn2—Si1	51.85 (8)
Fe2^ix—Mn1—Si1^vii	50.87 (4)	Mn1^xiv—Mn2—Si1^x	126.45 (2)
Mn2—Mn1—Mn2^vii	103.64 (6)	Mn1^xiv—Mn2—Si1^xiv	54.74 (7)
Mn2—Mn1—Mn2^viii	84.68 (4)	Mn1^xiv—Mn2—Si1^xii	106.95 (7)
Mn2—Mn1—Mn2^ix	47.82 (2)	Mn1^xiv—Mn2—Si1ⁱⁱⁱ	146.97 (8)
Mn2—Mn1—Si1	51.82 (3)	Mn1^xiv—Mn2—Si1^xv	58.06 (5)
Mn2—Mn1—Si1^x	52.58 (4)	Mn1^xii—Mn2—Mn1ⁱⁱⁱ	104.69 (3)
Mn2—Mn1—Si1^xi	137.10 (9)	Mn1^xii—Mn2—Mn1^xv	104.69 (3)
Mn2—Mn1—Si1^xii	50.87 (4)	Mn1^xii—Mn2—Fe1	95.32 (3)
Mn2—Mn1—Si1^vii	95.82 (7)	Mn1^xii—Mn2—Fe1^x	157.09 (4)
Mn2^vii—Mn1—Mn2^viii	47.82 (2)	Mn1^xii—Mn2—Fe1^xiv	58.60 (3)
Mn2^vii—Mn1—Mn2^ix	84.68 (4)	Mn1^xii—Mn2—Fe1^xii	0
Mn2^vii—Mn1—Si1	51.82 (3)	Mn1^xii—Mn2—Fe1ⁱⁱⁱ	104.69 (3)
Mn2^vii—Mn1—Si1^x	137.10 (7)	Mn1^xii—Mn2—Fe1^xv	104.69 (3)
Mn2^vii—Mn1—Si1^xi	52.58 (7)	Mn1^xii—Mn2—Fe2	0
Mn2^vii—Mn1—Si1^xii	95.82 (7)	Mn1^xii—Mn2—Fe2^xiii	66.090 (11)
Mn2^vii—Mn1—Si1^vii	50.87 (4)	Mn1^xii—Mn2—Fe2^ix	113.910 (11)
Mn2^viii—Mn1—Mn2^ix	103.64 (6)	Mn1^xii—Mn2—Mn2^xiii	66.090 (11)
Mn2^viii—Mn1—Si1	51.82 (3)	Mn1^xii—Mn2—Mn2^ix	113.910 (11)
Mn2^viii—Mn1—Si1^x	137.10 (7)	Mn1^xii—Mn2—Si1	58.06 (4)
Mn2^viii—Mn1—Si1^xi	52.58 (7)	Mn1^xii—Mn2—Si1^x	146.97 (8)
Mn2^viii—Mn1—Si1^xii	50.87 (4)	Mn1^xii—Mn2—Si1^xiv	106.95 (7)
Mn2^viii—Mn1—Si1^vii	95.82 (7)	Mn1^xii—Mn2—Si1^xii	54.74 (8)
Mn2^ix—Mn1—Si1	51.82 (3)	Mn1^xii—Mn2—Si1ⁱⁱⁱ	126.448 (15)
Mn2^ix—Mn1—Si1^x	52.58 (4)	Mn1^xii—Mn2—Si1^xv	51.85 (7)
Mn2^ix—Mn1—Si1^xi	137.10 (9)	Mn1ⁱⁱⁱ—Mn2—Mn1^xv	104.69 (5)
Mn2^ix—Mn1—Si1^xii	95.82 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1	58.60 (4)
Mn2^ix—Mn1—Si1^vii	50.87 (4)	Mn1ⁱⁱⁱ—Mn2—Fe1^x	95.32 (3)
Si1—Mn1—Si1^x	95.80 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1^xiv	157.10 (5)
Si1—Mn1—Si1^xi	95.80 (10)	Mn1ⁱⁱⁱ—Mn2—Fe1^xii	104.69 (3)
Si1—Mn1—Si1^xii	64.63 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1ⁱⁱⁱ	0
Si1—Mn1—Si1^vii	64.63 (7)	Mn1ⁱⁱⁱ—Mn2—Fe1^xv	104.69 (5)
Si1^x—Mn1—Si1^xi	168.41 (13)	Mn1ⁱⁱⁱ—Mn2—Fe2	0
Si1^x—Mn1—Si1^xii	92.48 (3)	Mn1ⁱⁱⁱ—Mn2—Fe2^xiii	66.090 (11)
Si1^x—Mn1—Si1^vii	92.48 (3)	Mn1ⁱⁱⁱ—Mn2—Fe2^ix	113.910 (11)
Si1^xi—Mn1—Si1^xii	92.48 (4)	Mn1ⁱⁱⁱ—Mn2—Mn2^xiii	66.090 (11)
Si1^xi—Mn1—Si1^vii	92.48 (4)	Mn1ⁱⁱⁱ—Mn2—Mn2^ix	113.910 (11)
Si1^xii—Mn1—Si1^vii	129.26 (12)	Mn1ⁱⁱⁱ—Mn2—Si1	106.95 (7)
Mn1—Fe1—Mn1ⁱ	0	Mn1ⁱⁱⁱ—Mn2—Si1^x	58.06 (4)
Mn1—Fe1—Mn1ⁱⁱ	0	Mn1ⁱⁱⁱ—Mn2—Si1^xiv	146.97 (6)
Mn1—Fe1—Mn1ⁱⁱⁱ	0	Mn1ⁱⁱⁱ—Mn2—Si1^xii	51.85 (7)
Mn1—Fe1—Mn1^iv	0	Mn1ⁱⁱⁱ—Mn2—Si1ⁱⁱⁱ	54.74 (8)
Mn1—Fe1—Mn1^v	0	Mn1ⁱⁱⁱ—Mn2—Si1^xv	126.45 (5)
Mn1—Fe1—Mn1^vi	0	Mn1^xv—Mn2—Fe1	157.10 (5)
Mn1—Fe1—Fe1ⁱ	0	Mn1^xv—Mn2—Fe1^x	58.60 (3)
Mn1—Fe1—Fe1ⁱⁱ	0	Mn1^xv—Mn2—Fe1^xiv	95.32 (5)
Mn1—Fe1—Fe1ⁱⁱⁱ	0	Mn1^xv—Mn2—Fe1^xii	104.69 (3)
Mn1—Fe1—Fe1^iv	0	Mn1^xv—Mn2—Fe1ⁱⁱⁱ	104.69 (5)
Mn1—Fe1—Fe1^v	0	Mn1^xv—Mn2—Fe1^xv	0
Mn1—Fe1—Fe1^vi	0	Mn1^xv—Mn2—Fe2	0
Mn1—Fe1—Fe2	0	Mn1^xv—Mn2—Fe2^xiii	66.090 (16)
Mn1—Fe1—Fe2^vii	0	Mn1^xv—Mn2—Fe2^ix	113.910 (16)
Mn1—Fe1—Fe2^viii	0	Mn1^xv—Mn2—Mn2^xiii	66.090 (16)
Mn1—Fe1—Fe2^ix	0	Mn1^xv—Mn2—Mn2^ix	113.910 (16)
Mn1—Fe1—Mn2	0	Mn1^xv—Mn2—Si1	146.97 (8)
Mn1—Fe1—Mn2^vii	0	Mn1^xv—Mn2—Si1^x	106.95 (7)
Mn1—Fe1—Mn2^viii	0	Mn1^xv—Mn2—Si1^xiv	58.06 (5)
Mn1—Fe1—Mn2^ix	0	Mn1^xv—Mn2—Si1^xii	126.45 (2)
Mn1—Fe1—Si1	0	Mn1^xv—Mn2—Si1ⁱⁱⁱ	51.85 (8)
Mn1—Fe1—Si1^x	0	Mn1^xv—Mn2—Si1^xv	54.74 (7)
Mn1—Fe1—Si1^xi	0	Fe1—Mn2—Fe1^x	104.69 (3)
Mn1—Fe1—Si1^xii	0	Fe1—Mn2—Fe1^xiv	104.69 (5)
Mn1—Fe1—Si1^vii	0	Fe1—Mn2—Fe1^xii	95.32 (3)
Mn1ⁱ—Fe1—Mn1ⁱⁱ	60.00 (6)	Fe1—Mn2—Fe1ⁱⁱⁱ	58.60 (4)
Mn1ⁱ—Fe1—Mn1ⁱⁱⁱ	90.00 (6)	Fe1—Mn2—Fe1^xv	157.10 (5)
Mn1ⁱ—Fe1—Mn1^iv	90.00 (6)	Fe1—Mn2—Fe2	0
Mn1ⁱ—Fe1—Mn1^v	60.97 (5)	Fe1—Mn2—Fe2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Mn1^vi	60.97 (5)	Fe1—Mn2—Fe2^ix	66.090 (11)
Mn1ⁱ—Fe1—Fe1ⁱ	0	Fe1—Mn2—Mn2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Fe1ⁱⁱ	60.00 (6)	Fe1—Mn2—Mn2^ix	66.090 (11)
Mn1ⁱ—Fe1—Fe1ⁱⁱⁱ	90.00 (6)	Fe1—Mn2—Si1	54.74 (8)
Mn1ⁱ—Fe1—Fe1^iv	90.00 (6)	Fe1—Mn2—Si1^x	51.85 (7)
Mn1ⁱ—Fe1—Fe1^v	60.97 (5)	Fe1—Mn2—Si1^xiv	126.45 (5)
Mn1ⁱ—Fe1—Fe1^vi	60.97 (5)	Fe1—Mn2—Si1^xii	58.06 (4)
Mn1ⁱ—Fe1—Fe2	150.70 (4)	Fe1—Mn2—Si1ⁱⁱⁱ	106.95 (7)
Mn1ⁱ—Fe1—Fe2^vii	101.45 (2)	Fe1—Mn2—Si1^xv	146.97 (6)
Mn1ⁱ—Fe1—Fe2^viii	101.45 (2)	Fe1^x—Mn2—Fe1^xiv	104.69 (3)
Mn1ⁱ—Fe1—Fe2^ix	150.70 (4)	Fe1^x—Mn2—Fe1^xii	157.09 (4)
Mn1ⁱ—Fe1—Mn2	150.70 (4)	Fe1^x—Mn2—Fe1ⁱⁱⁱ	95.32 (3)
Mn1ⁱ—Fe1—Mn2^vii	101.45 (2)	Fe1^x—Mn2—Fe1^xv	58.60 (3)
Mn1ⁱ—Fe1—Mn2^viii	101.45 (2)	Fe1^x—Mn2—Fe2	0
Mn1ⁱ—Fe1—Mn2^ix	150.70 (4)	Fe1^x—Mn2—Fe2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Si1	150.00 (3)	Fe1^x—Mn2—Fe2^ix	66.090 (11)
Mn1ⁱ—Fe1—Si1^x	114.20 (8)	Fe1^x—Mn2—Mn2^xiii	113.910 (11)
Mn1ⁱ—Fe1—Si1^xi	54.20 (9)	Fe1^x—Mn2—Mn2^ix	66.090 (11)
Mn1ⁱ—Fe1—Si1^xii	111.78 (6)	Fe1^x—Mn2—Si1	126.448 (15)
Mn1ⁱ—Fe1—Si1^vii	111.78 (6)	Fe1^x—Mn2—Si1^x	54.74 (8)
Mn1ⁱⁱ—Fe1—Mn1ⁱⁱⁱ	60.97 (3)	Fe1^x—Mn2—Si1^xiv	51.85 (7)
Mn1ⁱⁱ—Fe1—Mn1^iv	60.97 (3)	Fe1^x—Mn2—Si1^xii	146.97 (8)
Mn1ⁱⁱ—Fe1—Mn1^v	90.00 (6)	Fe1^x—Mn2—Si1ⁱⁱⁱ	58.06 (4)
Mn1ⁱⁱ—Fe1—Mn1^vi	90.00 (6)	Fe1^x—Mn2—Si1^xv	106.95 (7)
Mn1ⁱⁱ—Fe1—Fe1ⁱ	60.00 (6)	Fe1^xiv—Mn2—Fe1^xii	58.60 (3)
Mn1ⁱⁱ—Fe1—Fe1ⁱⁱ	0	Fe1^xiv—Mn2—Fe1ⁱⁱⁱ	157.10 (5)
Mn1ⁱⁱ—Fe1—Fe1ⁱⁱⁱ	60.97 (3)	Fe1^xiv—Mn2—Fe1^xv	95.32 (5)
Mn1ⁱⁱ—Fe1—Fe1^iv	60.97 (3)	Fe1^xiv—Mn2—Fe2	0
Mn1ⁱⁱ—Fe1—Fe1^v	90.00 (6)	Fe1^xiv—Mn2—Fe2^xiii	113.910 (16)
Mn1ⁱⁱ—Fe1—Fe1^vi	90.00 (6)	Fe1^xiv—Mn2—Fe2^ix	66.090 (16)
Mn1ⁱⁱ—Fe1—Fe2	101.45 (4)	Fe1^xiv—Mn2—Mn2^xiii	113.910 (16)
Mn1ⁱⁱ—Fe1—Fe2^vii	150.70 (4)	Fe1^xiv—Mn2—Mn2^ix	66.090 (16)
Mn1ⁱⁱ—Fe1—Fe2^viii	150.70 (4)	Fe1^xiv—Mn2—Si1	51.85 (8)
Mn1ⁱⁱ—Fe1—Fe2^ix	101.45 (4)	Fe1^xiv—Mn2—Si1^x	126.45 (2)
Mn1ⁱⁱ—Fe1—Mn2	101.45 (4)	Fe1^xiv—Mn2—Si1^xiv	54.74 (7)
Mn1ⁱⁱ—Fe1—Mn2^vii	150.70 (4)	Fe1^xiv—Mn2—Si1^xii	106.95 (7)
Mn1ⁱⁱ—Fe1—Mn2^viii	150.70 (4)	Fe1^xiv—Mn2—Si1ⁱⁱⁱ	146.97 (8)
Mn1ⁱⁱ—Fe1—Mn2^ix	101.45 (4)	Fe1^xiv—Mn2—Si1^xv	58.06 (5)
Mn1ⁱⁱ—Fe1—Si1	150.00 (5)	Fe1^xii—Mn2—Fe1ⁱⁱⁱ	104.69 (3)
Mn1ⁱⁱ—Fe1—Si1^x	54.20 (7)	Fe1^xii—Mn2—Fe1^xv	104.69 (3)
Mn1ⁱⁱ—Fe1—Si1^xi	114.20 (12)	Fe1^xii—Mn2—Fe2	0
Mn1ⁱⁱ—Fe1—Si1^xii	111.78 (6)	Fe1^xii—Mn2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱ—Fe1—Si1^vii	111.78 (6)	Fe1^xii—Mn2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Mn1^iv	111.83 (4)	Fe1^xii—Mn2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Fe1—Mn1^v	58.07 (4)	Fe1^xii—Mn2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Mn1^vi	147.46 (9)	Fe1^xii—Mn2—Si1	58.06 (4)
Mn1ⁱⁱⁱ—Fe1—Fe1ⁱ	90.00 (6)	Fe1^xii—Mn2—Si1^x	146.97 (8)
Mn1ⁱⁱⁱ—Fe1—Fe1ⁱⁱ	60.97 (3)	Fe1^xii—Mn2—Si1^xiv	106.95 (7)
Mn1ⁱⁱⁱ—Fe1—Fe1ⁱⁱⁱ	0	Fe1^xii—Mn2—Si1^xii	54.74 (8)
Mn1ⁱⁱⁱ—Fe1—Fe1^iv	111.83 (4)	Fe1^xii—Mn2—Si1ⁱⁱⁱ	126.448 (15)
Mn1ⁱⁱⁱ—Fe1—Fe1^v	58.07 (4)	Fe1^xii—Mn2—Si1^xv	51.85 (7)
Mn1ⁱⁱⁱ—Fe1—Fe1^vi	147.46 (9)	Fe1ⁱⁱⁱ—Mn2—Fe1^xv	104.69 (5)
Mn1ⁱⁱⁱ—Fe1—Fe2	60.70 (4)	Fe1ⁱⁱⁱ—Mn2—Fe2	0
Mn1ⁱⁱⁱ—Fe1—Fe2^vii	146.69 (4)	Fe1ⁱⁱⁱ—Mn2—Fe2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Fe1—Fe2^viii	99.462 (19)	Fe1ⁱⁱⁱ—Mn2—Fe2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Fe2^ix	100.49 (4)	Fe1ⁱⁱⁱ—Mn2—Mn2^xiii	66.090 (11)
Mn1ⁱⁱⁱ—Fe1—Mn2	60.70 (4)	Fe1ⁱⁱⁱ—Mn2—Mn2^ix	113.910 (11)
Mn1ⁱⁱⁱ—Fe1—Mn2^vii	146.69 (4)	Fe1ⁱⁱⁱ—Mn2—Si1	106.95 (7)
Mn1ⁱⁱⁱ—Fe1—Mn2^viii	99.462 (19)	Fe1ⁱⁱⁱ—Mn2—Si1^x	58.06 (4)
Mn1ⁱⁱⁱ—Fe1—Mn2^ix	100.49 (4)	Fe1ⁱⁱⁱ—Mn2—Si1^xiv	146.97 (6)
Mn1ⁱⁱⁱ—Fe1—Si1	106.27 (4)	Fe1ⁱⁱⁱ—Mn2—Si1^xii	51.85 (7)
Mn1ⁱⁱⁱ—Fe1—Si1^x	59.26 (3)	Fe1ⁱⁱⁱ—Mn2—Si1ⁱⁱⁱ	54.74 (8)
Mn1ⁱⁱⁱ—Fe1—Si1^xi	117.03 (5)	Fe1ⁱⁱⁱ—Mn2—Si1^xv	126.45 (5)
Mn1ⁱⁱⁱ—Fe1—Si1^xii	51.08 (5)	Fe1^xv—Mn2—Fe2	0
Mn1ⁱⁱⁱ—Fe1—Si1^vii	150.27 (4)	Fe1^xv—Mn2—Fe2^xiii	66.090 (16)
Mn1^iv—Fe1—Mn1^v	147.46 (9)	Fe1^xv—Mn2—Fe2^ix	113.910 (16)
Mn1^iv—Fe1—Mn1^vi	58.07 (4)	Fe1^xv—Mn2—Mn2^xiii	66.090 (16)
Mn1^iv—Fe1—Fe1ⁱ	90.00 (6)	Fe1^xv—Mn2—Mn2^ix	113.910 (16)
Mn1^iv—Fe1—Fe1ⁱⁱ	60.97 (3)	Fe1^xv—Mn2—Si1	146.97 (8)
Mn1^iv—Fe1—Fe1ⁱⁱⁱ	111.83 (4)	Fe1^xv—Mn2—Si1^x	106.95 (7)
Mn1^iv—Fe1—Fe1^iv	0	Fe1^xv—Mn2—Si1^xiv	58.06 (5)
Mn1^iv—Fe1—Fe1^v	147.46 (9)	Fe1^xv—Mn2—Si1^xii	126.45 (2)
Mn1^iv—Fe1—Fe1^vi	58.07 (4)	Fe1^xv—Mn2—Si1ⁱⁱⁱ	51.85 (8)
Mn1^iv—Fe1—Fe2	100.49 (4)	Fe1^xv—Mn2—Si1^xv	54.74 (7)
Mn1^iv—Fe1—Fe2^vii	99.462 (19)	Fe2—Mn2—Fe2^xiii	0
Mn1^iv—Fe1—Fe2^viii	146.69 (4)	Fe2—Mn2—Fe2^ix	0
Mn1^iv—Fe1—Fe2^ix	60.70 (4)	Fe2—Mn2—Mn2^xiii	0
Mn1^iv—Fe1—Mn2	100.49 (4)	Fe2—Mn2—Mn2^ix	0
Mn1^iv—Fe1—Mn2^vii	99.462 (19)	Fe2—Mn2—Si1	0
Mn1^iv—Fe1—Mn2^viii	146.69 (4)	Fe2—Mn2—Si1^x	0
Mn1^iv—Fe1—Mn2^ix	60.70 (4)	Fe2—Mn2—Si1^xiv	0
Mn1^iv—Fe1—Si1	106.27 (4)	Fe2—Mn2—Si1^xii	0
Mn1^iv—Fe1—Si1^x	59.26 (3)	Fe2—Mn2—Si1ⁱⁱⁱ	0
Mn1^iv—Fe1—Si1^xi	117.03 (5)	Fe2—Mn2—Si1^xv	0
Mn1^iv—Fe1—Si1^xii	150.27 (4)	Fe2^xiii—Mn2—Fe2^ix	180
Mn1^iv—Fe1—Si1^vii	51.08 (5)	Fe2^xiii—Mn2—Mn2^xiii	0
Mn1^v—Fe1—Mn1^vi	111.83 (6)	Fe2^xiii—Mn2—Mn2^ix	180
Mn1^v—Fe1—Fe1ⁱ	60.97 (5)	Fe2^xiii—Mn2—Si1	119.618 (13)
Mn1^v—Fe1—Fe1ⁱⁱ	90.00 (6)	Fe2^xiii—Mn2—Si1^x	119.618 (13)
Mn1^v—Fe1—Fe1ⁱⁱⁱ	58.07 (4)	Fe2^xiii—Mn2—Si1^xiv	119.62 (4)
Mn1^v—Fe1—Fe1^iv	147.46 (9)	Fe2^xiii—Mn2—Si1^xii	60.382 (13)
Mn1^v—Fe1—Fe1^v	0	Fe2^xiii—Mn2—Si1ⁱⁱⁱ	60.382 (13)
Mn1^v—Fe1—Fe1^vi	111.83 (6)	Fe2^xiii—Mn2—Si1^xv	60.38 (4)
Mn1^v—Fe1—Fe2	99.46 (4)	Fe2^ix—Mn2—Mn2^xiii	180
Mn1^v—Fe1—Fe2^vii	100.49 (3)	Fe2^ix—Mn2—Mn2^ix	0
Mn1^v—Fe1—Fe2^viii	60.70 (4)	Fe2^ix—Mn2—Si1	60.382 (13)
Mn1^v—Fe1—Fe2^ix	146.69 (6)	Fe2^ix—Mn2—Si1^x	60.382 (13)
Mn1^v—Fe1—Mn2	99.46 (4)	Fe2^ix—Mn2—Si1^xiv	60.38 (4)
Mn1^v—Fe1—Mn2^vii	100.49 (3)	Fe2^ix—Mn2—Si1^xii	119.618 (13)
Mn1^v—Fe1—Mn2^viii	60.70 (4)	Fe2^ix—Mn2—Si1ⁱⁱⁱ	119.618 (13)
Mn1^v—Fe1—Mn2^ix	146.69 (6)	Fe2^ix—Mn2—Si1^xv	119.62 (4)
Mn1^v—Fe1—Si1	106.27 (6)	Mn2^xiii—Mn2—Mn2^ix	180
Mn1^v—Fe1—Si1^x	117.03 (4)	Mn2^xiii—Mn2—Si1	119.618 (13)
Mn1^v—Fe1—Si1^xi	59.26 (4)	Mn2^xiii—Mn2—Si1^x	119.618 (13)
Mn1^v—Fe1—Si1^xii	51.08 (6)	Mn2^xiii—Mn2—Si1^xiv	119.62 (4)
Mn1^v—Fe1—Si1^vii	150.27 (4)	Mn2^xiii—Mn2—Si1^xii	60.382 (13)
Mn1^vi—Fe1—Fe1ⁱ	60.97 (5)	Mn2^xiii—Mn2—Si1ⁱⁱⁱ	60.382 (13)
Mn1^vi—Fe1—Fe1ⁱⁱ	90.00 (6)	Mn2^xiii—Mn2—Si1^xv	60.38 (4)
Mn1^vi—Fe1—Fe1ⁱⁱⁱ	147.46 (9)	Mn2^ix—Mn2—Si1	60.382 (13)
Mn1^vi—Fe1—Fe1^iv	58.07 (4)	Mn2^ix—Mn2—Si1^x	60.382 (13)
Mn1^vi—Fe1—Fe1^v	111.83 (6)	Mn2^ix—Mn2—Si1^xiv	60.38 (4)
Mn1^vi—Fe1—Fe1^vi	0	Mn2^ix—Mn2—Si1^xii	119.618 (13)
Mn1^vi—Fe1—Fe2	146.69 (6)	Mn2^ix—Mn2—Si1ⁱⁱⁱ	119.618 (13)
Mn1^vi—Fe1—Fe2^vii	60.70 (4)	Mn2^ix—Mn2—Si1^xv	119.62 (4)
Mn1^vi—Fe1—Fe2^viii	100.49 (3)	Si1—Mn2—Si1^x	97.68 (8)
Mn1^vi—Fe1—Fe2^ix	99.46 (4)	Si1—Mn2—Si1^xiv	97.68 (6)
Mn1^vi—Fe1—Mn2	146.69 (6)	Si1—Mn2—Si1^xii	69.57 (4)
Mn1^vi—Fe1—Mn2^vii	60.70 (4)	Si1—Mn2—Si1ⁱⁱⁱ	161.14 (10)
Mn1^vi—Fe1—Mn2^viii	100.49 (3)	Si1—Mn2—Si1^xv	97.79 (8)
Mn1^vi—Fe1—Mn2^ix	99.46 (4)	Si1^x—Mn2—Si1^xiv	97.68 (9)
Mn1^vi—Fe1—Si1	106.27 (6)	Si1^x—Mn2—Si1^xii	97.79 (10)
Mn1^vi—Fe1—Si1^x	117.03 (4)	Si1^x—Mn2—Si1ⁱⁱⁱ	69.57 (4)
Mn1^vi—Fe1—Si1^xi	59.26 (4)	Si1^x—Mn2—Si1^xv	161.14 (9)
Mn1^vi—Fe1—Si1^xii	150.27 (4)	Si1^xiv—Mn2—Si1^xii	161.14 (9)
Mn1^vi—Fe1—Si1^vii	51.08 (6)	Si1^xiv—Mn2—Si1ⁱⁱⁱ	97.79 (8)
Fe1ⁱ—Fe1—Fe1ⁱⁱ	60.00 (6)	Si1^xiv—Mn2—Si1^xv	69.57 (8)
Fe1ⁱ—Fe1—Fe1ⁱⁱⁱ	90.00 (6)	Si1^xii—Mn2—Si1ⁱⁱⁱ	97.68 (8)
Fe1ⁱ—Fe1—Fe1^iv	90.00 (6)	Si1^xii—Mn2—Si1^xv	97.68 (9)
Fe1ⁱ—Fe1—Fe1^v	60.97 (5)	Si1ⁱⁱⁱ—Mn2—Si1^xv	97.68 (6)
Fe1ⁱ—Fe1—Fe1^vi	60.97 (5)	Mn1—Si1—Mn1^xvi	144.20 (7)
Fe1ⁱ—Fe1—Fe2	150.70 (4)	Mn1—Si1—Mn1^xiv	144.20 (6)
Fe1ⁱ—Fe1—Fe2^vii	101.45 (2)	Mn1—Si1—Mn1^xii	115.37 (7)
Fe1ⁱ—Fe1—Fe2^viii	101.45 (2)	Mn1—Si1—Mn1^vii	115.37 (7)
Fe1ⁱ—Fe1—Fe2^ix	150.70 (4)	Mn1—Si1—Fe1	0
Fe1ⁱ—Fe1—Mn2	150.70 (4)	Mn1—Si1—Fe1^xvi	144.20 (7)
Fe1ⁱ—Fe1—Mn2^vii	101.45 (2)	Mn1—Si1—Fe1^xiv	144.20 (6)
Fe1ⁱ—Fe1—Mn2^viii	101.45 (2)	Mn1—Si1—Fe1^xii	115.37 (7)
Fe1ⁱ—Fe1—Mn2^ix	150.70 (4)	Mn1—Si1—Fe1^vii	115.37 (7)
Fe1ⁱ—Fe1—Si1	150.00 (3)	Mn1—Si1—Fe2	73.44 (7)
Fe1ⁱ—Fe1—Si1^x	114.20 (8)	Mn1—Si1—Fe2^vii	73.44 (7)
Fe1ⁱ—Fe1—Si1^xi	54.20 (9)	Mn1—Si1—Fe2^viii	73.44 (7)
Fe1ⁱ—Fe1—Si1^xii	111.78 (6)	Mn1—Si1—Fe2^ix	73.44 (7)
Fe1ⁱ—Fe1—Si1^vii	111.78 (6)	Mn1—Si1—Mn2	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1ⁱⁱⁱ	60.97 (3)	Mn1—Si1—Mn2^vii	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1^iv	60.97 (3)	Mn1—Si1—Mn2^viii	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1^v	90.00 (6)	Mn1—Si1—Mn2^ix	73.44 (7)
Fe1ⁱⁱ—Fe1—Fe1^vi	90.00 (6)	Mn1—Si1—Si1^xii	60.03 (8)
Fe1ⁱⁱ—Fe1—Fe2	101.45 (4)	Mn1—Si1—Si1^vii	60.03 (8)
Fe1ⁱⁱ—Fe1—Fe2^vii	150.70 (4)	Mn1^xvi—Si1—Mn1^xiv	71.59 (11)
Fe1ⁱⁱ—Fe1—Fe2^viii	150.70 (4)	Mn1^xvi—Si1—Mn1^xii	69.66 (7)
Fe1ⁱⁱ—Fe1—Fe2^ix	101.45 (4)	Mn1^xvi—Si1—Mn1^vii	69.66 (7)
Fe1ⁱⁱ—Fe1—Mn2	101.45 (4)	Mn1^xvi—Si1—Fe1	144.20 (7)
Fe1ⁱⁱ—Fe1—Mn2^vii	150.70 (4)	Mn1^xvi—Si1—Fe1^xvi	0
Fe1ⁱⁱ—Fe1—Mn2^viii	150.70 (4)	Mn1^xvi—Si1—Fe1^xiv	71.59 (11)
Fe1ⁱⁱ—Fe1—Mn2^ix	101.45 (4)	Mn1^xvi—Si1—Fe1^xii	69.66 (7)
Fe1ⁱⁱ—Fe1—Si1	150.00 (5)	Mn1^xvi—Si1—Fe1^vii	69.66 (7)
Fe1ⁱⁱ—Fe1—Si1^x	54.20 (7)	Mn1^xvi—Si1—Fe2	135.36 (10)
Fe1ⁱⁱ—Fe1—Si1^xi	114.20 (12)	Mn1^xvi—Si1—Fe2^vii	75.57 (5)
Fe1ⁱⁱ—Fe1—Si1^xii	111.78 (6)	Mn1^xvi—Si1—Fe2^viii	75.57 (5)
Fe1ⁱⁱ—Fe1—Si1^vii	111.78 (6)	Mn1^xvi—Si1—Fe2^ix	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Fe1^iv	111.83 (4)	Mn1^xvi—Si1—Mn2	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Fe1^v	58.07 (4)	Mn1^xvi—Si1—Mn2^vii	75.57 (5)
Fe1ⁱⁱⁱ—Fe1—Fe1^vi	147.46 (9)	Mn1^xvi—Si1—Mn2^viii	75.57 (5)
Fe1ⁱⁱⁱ—Fe1—Fe2	60.70 (4)	Mn1^xvi—Si1—Mn2^ix	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Fe2^vii	146.69 (4)	Mn1^xvi—Si1—Si1^xii	113.90 (6)
Fe1ⁱⁱⁱ—Fe1—Fe2^viii	99.462 (19)	Mn1^xvi—Si1—Si1^vii	113.90 (6)
Fe1ⁱⁱⁱ—Fe1—Fe2^ix	100.49 (4)	Mn1^xiv—Si1—Mn1^xii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Mn2	60.70 (4)	Mn1^xiv—Si1—Mn1^vii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Mn2^vii	146.69 (4)	Mn1^xiv—Si1—Fe1	144.20 (6)
Fe1ⁱⁱⁱ—Fe1—Mn2^viii	99.462 (19)	Mn1^xiv—Si1—Fe1^xvi	71.59 (11)
Fe1ⁱⁱⁱ—Fe1—Mn2^ix	100.49 (4)	Mn1^xiv—Si1—Fe1^xiv	0
Fe1ⁱⁱⁱ—Fe1—Si1	106.27 (4)	Mn1^xiv—Si1—Fe1^xii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Si1^x	59.26 (3)	Mn1^xiv—Si1—Fe1^vii	69.66 (7)
Fe1ⁱⁱⁱ—Fe1—Si1^xi	117.03 (5)	Mn1^xiv—Si1—Fe2	75.57 (4)
Fe1ⁱⁱⁱ—Fe1—Si1^xii	51.08 (5)	Mn1^xiv—Si1—Fe2^vii	135.36 (10)
Fe1ⁱⁱⁱ—Fe1—Si1^vii	150.27 (4)	Mn1^xiv—Si1—Fe2^viii	135.36 (10)
Fe1^iv—Fe1—Fe1^v	147.46 (9)	Mn1^xiv—Si1—Fe2^ix	75.57 (4)
Fe1^iv—Fe1—Fe1^vi	58.07 (4)	Mn1^xiv—Si1—Mn2	75.57 (4)
Fe1^iv—Fe1—Fe2	100.49 (4)	Mn1^xiv—Si1—Mn2^vii	135.36 (10)
Fe1^iv—Fe1—Fe2^vii	99.462 (19)	Mn1^xiv—Si1—Mn2^viii	135.36 (10)
Fe1^iv—Fe1—Fe2^viii	146.69 (4)	Mn1^xiv—Si1—Mn2^ix	75.57 (4)
Fe1^iv—Fe1—Fe2^ix	60.70 (4)	Mn1^xiv—Si1—Si1^xii	113.90 (5)
Fe1^iv—Fe1—Mn2	100.49 (4)	Mn1^xiv—Si1—Si1^vii	113.90 (5)
Fe1^iv—Fe1—Mn2^vii	99.462 (19)	Mn1^xii—Si1—Mn1^vii	129.26 (14)
Fe1^iv—Fe1—Mn2^viii	146.69 (4)	Mn1^xii—Si1—Fe1	115.37 (7)
Fe1^iv—Fe1—Mn2^ix	60.70 (4)	Mn1^xii—Si1—Fe1^xvi	69.66 (7)
Fe1^iv—Fe1—Si1	106.27 (4)	Mn1^xii—Si1—Fe1^xiv	69.66 (7)
Fe1^iv—Fe1—Si1^x	59.26 (3)	Mn1^xii—Si1—Fe1^xii	0
Fe1^iv—Fe1—Si1^xi	117.03 (5)	Mn1^xii—Si1—Fe1^vii	129.26 (14)
Fe1^iv—Fe1—Si1^xii	150.27 (4)	Mn1^xii—Si1—Fe2	71.07 (2)
Fe1^iv—Fe1—Si1^vii	51.08 (5)	Mn1^xii—Si1—Fe2^vii	124.66 (2)
Fe1^v—Fe1—Fe1^vi	111.83 (6)	Mn1^xii—Si1—Fe2^viii	71.07 (2)
Fe1^v—Fe1—Fe2	99.46 (4)	Mn1^xii—Si1—Fe2^ix	124.66 (2)
Fe1^v—Fe1—Fe2^vii	100.49 (3)	Mn1^xii—Si1—Mn2	71.07 (2)
Fe1^v—Fe1—Fe2^viii	60.70 (4)	Mn1^xii—Si1—Mn2^vii	124.66 (2)
Fe1^v—Fe1—Fe2^ix	146.69 (6)	Mn1^xii—Si1—Mn2^viii	71.07 (2)
Fe1^v—Fe1—Mn2	99.46 (4)	Mn1^xii—Si1—Mn2^ix	124.66 (2)
Fe1^v—Fe1—Mn2^vii	100.49 (3)	Mn1^xii—Si1—Si1^xii	55.34 (7)
Fe1^v—Fe1—Mn2^viii	60.70 (4)	Mn1^xii—Si1—Si1^vii	175.40 (14)
Fe1^v—Fe1—Mn2^ix	146.69 (6)	Mn1^vii—Si1—Fe1	115.37 (7)
Fe1^v—Fe1—Si1	106.27 (6)	Mn1^vii—Si1—Fe1^xvi	69.66 (7)
Fe1^v—Fe1—Si1^x	117.03 (4)	Mn1^vii—Si1—Fe1^xiv	69.66 (7)
Fe1^v—Fe1—Si1^xi	59.26 (4)	Mn1^vii—Si1—Fe1^xii	129.26 (14)
Fe1^v—Fe1—Si1^xii	51.08 (6)	Mn1^vii—Si1—Fe1^vii	0
Fe1^v—Fe1—Si1^vii	150.27 (4)	Mn1^vii—Si1—Fe2	124.66 (2)
Fe1^vi—Fe1—Fe2	146.69 (6)	Mn1^vii—Si1—Fe2^vii	71.07 (2)
Fe1^vi—Fe1—Fe2^vii	60.70 (4)	Mn1^vii—Si1—Fe2^viii	124.66 (2)
Fe1^vi—Fe1—Fe2^viii	100.49 (3)	Mn1^vii—Si1—Fe2^ix	71.07 (2)
Fe1^vi—Fe1—Fe2^ix	99.46 (4)	Mn1^vii—Si1—Mn2	124.66 (2)
Fe1^vi—Fe1—Mn2	146.69 (6)	Mn1^vii—Si1—Mn2^vii	71.07 (2)
Fe1^vi—Fe1—Mn2^vii	60.70 (4)	Mn1^vii—Si1—Mn2^viii	124.66 (2)
Fe1^vi—Fe1—Mn2^viii	100.49 (3)	Mn1^vii—Si1—Mn2^ix	71.07 (2)
Fe1^vi—Fe1—Mn2^ix	99.46 (4)	Mn1^vii—Si1—Si1^xii	175.40 (14)
Fe1^vi—Fe1—Si1	106.27 (6)	Mn1^vii—Si1—Si1^vii	55.34 (7)
Fe1^vi—Fe1—Si1^x	117.03 (4)	Fe1—Si1—Fe1^xvi	144.20 (7)
Fe1^vi—Fe1—Si1^xi	59.26 (4)	Fe1—Si1—Fe1^xiv	144.20 (6)
Fe1^vi—Fe1—Si1^xii	150.27 (4)	Fe1—Si1—Fe1^xii	115.37 (7)
Fe1^vi—Fe1—Si1^vii	51.08 (6)	Fe1—Si1—Fe1^vii	115.37 (7)
Fe2—Fe1—Fe2^vii	103.64 (6)	Fe1—Si1—Fe2	73.44 (7)
Fe2—Fe1—Fe2^viii	84.68 (4)	Fe1—Si1—Fe2^vii	73.44 (7)
Fe2—Fe1—Fe2^ix	47.82 (2)	Fe1—Si1—Fe2^viii	73.44 (7)
Fe2—Fe1—Mn2	0	Fe1—Si1—Fe2^ix	73.44 (7)
Fe2—Fe1—Mn2^vii	103.64 (6)	Fe1—Si1—Mn2	73.44 (7)
Fe2—Fe1—Mn2^viii	84.68 (4)	Fe1—Si1—Mn2^vii	73.44 (7)
Fe2—Fe1—Mn2^ix	47.82 (2)	Fe1—Si1—Mn2^viii	73.44 (7)
Fe2—Fe1—Si1	51.82 (3)	Fe1—Si1—Mn2^ix	73.44 (7)
Fe2—Fe1—Si1^x	52.58 (4)	Fe1—Si1—Si1^xii	60.03 (8)
Fe2—Fe1—Si1^xi	137.10 (9)	Fe1—Si1—Si1^vii	60.03 (8)
Fe2—Fe1—Si1^xii	50.87 (4)	Fe1^xvi—Si1—Fe1^xiv	71.59 (11)
Fe2—Fe1—Si1^vii	95.82 (7)	Fe1^xvi—Si1—Fe1^xii	69.66 (7)
Fe2^vii—Fe1—Fe2^viii	47.82 (2)	Fe1^xvi—Si1—Fe1^vii	69.66 (7)
Fe2^vii—Fe1—Fe2^ix	84.68 (4)	Fe1^xvi—Si1—Fe2	135.36 (10)
Fe2^vii—Fe1—Mn2	103.64 (6)	Fe1^xvi—Si1—Fe2^vii	75.57 (5)
Fe2^vii—Fe1—Mn2^vii	0	Fe1^xvi—Si1—Fe2^viii	75.57 (5)
Fe2^vii—Fe1—Mn2^viii	47.82 (2)	Fe1^xvi—Si1—Fe2^ix	135.36 (10)
Fe2^vii—Fe1—Mn2^ix	84.68 (4)	Fe1^xvi—Si1—Mn2	135.36 (10)
Fe2^vii—Fe1—Si1	51.82 (3)	Fe1^xvi—Si1—Mn2^vii	75.57 (5)
Fe2^vii—Fe1—Si1^x	137.10 (7)	Fe1^xvi—Si1—Mn2^viii	75.57 (5)
Fe2^vii—Fe1—Si1^xi	52.58 (7)	Fe1^xvi—Si1—Mn2^ix	135.36 (10)
Fe2^vii—Fe1—Si1^xii	95.82 (7)	Fe1^xvi—Si1—Si1^xii	113.90 (6)
Fe2^vii—Fe1—Si1^vii	50.87 (4)	Fe1^xvi—Si1—Si1^vii	113.90 (6)
Fe2^viii—Fe1—Fe2^ix	103.64 (6)	Fe1^xiv—Si1—Fe1^xii	69.66 (7)
Fe2^viii—Fe1—Mn2	84.68 (4)	Fe1^xiv—Si1—Fe1^vii	69.66 (7)
Fe2^viii—Fe1—Mn2^vii	47.82 (2)	Fe1^xiv—Si1—Fe2	75.57 (4)
Fe2^viii—Fe1—Mn2^viii	0	Fe1^xiv—Si1—Fe2^vii	135.36 (10)
Fe2^viii—Fe1—Mn2^ix	103.64 (6)	Fe1^xiv—Si1—Fe2^viii	135.36 (10)
Fe2^viii—Fe1—Si1	51.82 (3)	Fe1^xiv—Si1—Fe2^ix	75.57 (4)
Fe2^viii—Fe1—Si1^x	137.10 (7)	Fe1^xiv—Si1—Mn2	75.57 (4)
Fe2^viii—Fe1—Si1^xi	52.58 (7)	Fe1^xiv—Si1—Mn2^vii	135.36 (10)
Fe2^viii—Fe1—Si1^xii	50.87 (4)	Fe1^xiv—Si1—Mn2^viii	135.36 (10)
Fe2^viii—Fe1—Si1^vii	95.82 (7)	Fe1^xiv—Si1—Mn2^ix	75.57 (4)
Fe2^ix—Fe1—Mn2	47.82 (2)	Fe1^xiv—Si1—Si1^xii	113.90 (5)
Fe2^ix—Fe1—Mn2^vii	84.68 (4)	Fe1^xiv—Si1—Si1^vii	113.90 (5)
Fe2^ix—Fe1—Mn2^viii	103.64 (6)	Fe1^xii—Si1—Fe1^vii	129.26 (14)
Fe2^ix—Fe1—Mn2^ix	0	Fe1^xii—Si1—Fe2	71.07 (2)
Fe2^ix—Fe1—Si1	51.82 (3)	Fe1^xii—Si1—Fe2^vii	124.66 (2)
Fe2^ix—Fe1—Si1^x	52.58 (4)	Fe1^xii—Si1—Fe2^viii	71.07 (2)
Fe2^ix—Fe1—Si1^xi	137.10 (9)	Fe1^xii—Si1—Fe2^ix	124.66 (2)
Fe2^ix—Fe1—Si1^xii	95.82 (7)	Fe1^xii—Si1—Mn2	71.07 (2)
Fe2^ix—Fe1—Si1^vii	50.87 (4)	Fe1^xii—Si1—Mn2^vii	124.66 (2)
Mn2—Fe1—Mn2^vii	103.64 (6)	Fe1^xii—Si1—Mn2^viii	71.07 (2)
Mn2—Fe1—Mn2^viii	84.68 (4)	Fe1^xii—Si1—Mn2^ix	124.66 (2)
Mn2—Fe1—Mn2^ix	47.82 (2)	Fe1^xii—Si1—Si1^xii	55.34 (7)
Mn2—Fe1—Si1	51.82 (3)	Fe1^xii—Si1—Si1^vii	175.40 (14)
Mn2—Fe1—Si1^x	52.58 (4)	Fe1^vii—Si1—Fe2	124.66 (2)
Mn2—Fe1—Si1^xi	137.10 (9)	Fe1^vii—Si1—Fe2^vii	71.07 (2)
Mn2—Fe1—Si1^xii	50.87 (4)	Fe1^vii—Si1—Fe2^viii	124.66 (2)
Mn2—Fe1—Si1^vii	95.82 (7)	Fe1^vii—Si1—Fe2^ix	71.07 (2)
Mn2^vii—Fe1—Mn2^viii	47.82 (2)	Fe1^vii—Si1—Mn2	124.66 (2)
Mn2^vii—Fe1—Mn2^ix	84.68 (4)	Fe1^vii—Si1—Mn2^vii	71.07 (2)
Mn2^vii—Fe1—Si1	51.82 (3)	Fe1^vii—Si1—Mn2^viii	124.66 (2)
Mn2^vii—Fe1—Si1^x	137.10 (7)	Fe1^vii—Si1—Mn2^ix	71.07 (2)
Mn2^vii—Fe1—Si1^xi	52.58 (7)	Fe1^vii—Si1—Si1^xii	175.40 (14)
Mn2^vii—Fe1—Si1^xii	95.82 (7)	Fe1^vii—Si1—Si1^vii	55.34 (7)
Mn2^vii—Fe1—Si1^vii	50.87 (4)	Fe2—Si1—Fe2^vii	146.88 (15)
Mn2^viii—Fe1—Mn2^ix	103.64 (6)	Fe2—Si1—Fe2^viii	110.43 (6)
Mn2^viii—Fe1—Si1	51.82 (3)	Fe2—Si1—Fe2^ix	59.24 (3)
Mn2^viii—Fe1—Si1^x	137.10 (7)	Fe2—Si1—Mn2	0
Mn2^viii—Fe1—Si1^xi	52.58 (7)	Fe2—Si1—Mn2^vii	146.88 (15)
Mn2^viii—Fe1—Si1^xii	50.87 (4)	Fe2—Si1—Mn2^viii	110.43 (6)
Mn2^viii—Fe1—Si1^vii	95.82 (7)	Fe2—Si1—Mn2^ix	59.24 (3)
Mn2^ix—Fe1—Si1	51.82 (3)	Fe2—Si1—Si1^xii	55.21 (3)
Mn2^ix—Fe1—Si1^x	52.58 (4)	Fe2—Si1—Si1^vii	106.60 (8)
Mn2^ix—Fe1—Si1^xi	137.10 (9)	Fe2^vii—Si1—Fe2^viii	59.24 (3)
Mn2^ix—Fe1—Si1^xii	95.82 (7)	Fe2^vii—Si1—Fe2^ix	110.43 (6)
Mn2^ix—Fe1—Si1^vii	50.87 (4)	Fe2^vii—Si1—Mn2	146.88 (15)
Si1—Fe1—Si1^x	95.80 (7)	Fe2^vii—Si1—Mn2^vii	0
Si1—Fe1—Si1^xi	95.80 (10)	Fe2^vii—Si1—Mn2^viii	59.24 (3)
Si1—Fe1—Si1^xii	64.63 (7)	Fe2^vii—Si1—Mn2^ix	110.43 (6)
Si1—Fe1—Si1^vii	64.63 (7)	Fe2^vii—Si1—Si1^xii	106.60 (8)
Si1^x—Fe1—Si1^xi	168.41 (13)	Fe2^vii—Si1—Si1^vii	55.21 (3)
Si1^x—Fe1—Si1^xii	92.48 (3)	Fe2^viii—Si1—Fe2^ix	146.88 (15)
Si1^x—Fe1—Si1^vii	92.48 (3)	Fe2^viii—Si1—Mn2	110.43 (6)
Si1^xi—Fe1—Si1^xii	92.48 (4)	Fe2^viii—Si1—Mn2^vii	59.24 (3)
Si1^xi—Fe1—Si1^vii	92.48 (4)	Fe2^viii—Si1—Mn2^viii	0
Si1^xii—Fe1—Si1^vii	129.26 (12)	Fe2^viii—Si1—Mn2^ix	146.88 (15)
Mn1—Fe2—Mn1^x	104.69 (3)	Fe2^viii—Si1—Si1^xii	55.21 (3)
Mn1—Fe2—Mn1^xiv	104.69 (5)	Fe2^viii—Si1—Si1^vii	106.60 (8)
Mn1—Fe2—Mn1^xii	95.32 (3)	Fe2^ix—Si1—Mn2	59.24 (3)
Mn1—Fe2—Mn1ⁱⁱⁱ	58.60 (4)	Fe2^ix—Si1—Mn2^vii	110.43 (6)
Mn1—Fe2—Mn1^xv	157.10 (5)	Fe2^ix—Si1—Mn2^viii	146.88 (15)
Mn1—Fe2—Fe1	0	Fe2^ix—Si1—Mn2^ix	0
Mn1—Fe2—Fe1^x	104.69 (3)	Fe2^ix—Si1—Si1^xii	106.60 (8)
Mn1—Fe2—Fe1^xiv	104.69 (5)	Fe2^ix—Si1—Si1^vii	55.21 (3)
Mn1—Fe2—Fe1^xii	95.32 (3)	Mn2—Si1—Mn2^vii	146.88 (15)
Mn1—Fe2—Fe1ⁱⁱⁱ	58.60 (4)	Mn2—Si1—Mn2^viii	110.43 (6)
Mn1—Fe2—Fe1^xv	157.10 (5)	Mn2—Si1—Mn2^ix	59.24 (3)
Mn1—Fe2—Fe2^xiii	113.910 (11)	Mn2—Si1—Si1^xii	55.21 (3)
Mn1—Fe2—Fe2^ix	66.090 (11)	Mn2—Si1—Si1^vii	106.60 (8)
Mn1—Fe2—Mn2	0	Mn2^vii—Si1—Mn2^viii	59.24 (3)
Mn1—Fe2—Mn2^xiii	113.910 (11)	Mn2^vii—Si1—Mn2^ix	110.43 (6)
Mn1—Fe2—Mn2^ix	66.090 (11)	Mn2^vii—Si1—Si1^xii	106.60 (8)
Mn1—Fe2—Si1	54.74 (8)	Mn2^vii—Si1—Si1^vii	55.21 (3)
Mn1—Fe2—Si1^x	51.85 (7)	Mn2^viii—Si1—Mn2^ix	146.88 (15)
Mn1—Fe2—Si1^xiv	126.45 (5)	Mn2^viii—Si1—Si1^xii	55.21 (3)
Mn1—Fe2—Si1^xii	58.06 (4)	Mn2^viii—Si1—Si1^vii	106.60 (8)
Mn1—Fe2—Si1ⁱⁱⁱ	106.95 (7)	Mn2^ix—Si1—Si1^xii	106.60 (8)
Mn1—Fe2—Si1^xv	146.97 (6)	Mn2^ix—Si1—Si1^vii	55.21 (3)
Mn1^x—Fe2—Mn1^xiv	104.69 (3)	Si1^xii—Si1—Si1^vii	120.06 (14)

Acknowledgements

The neutron measurements were performed on the single-crystal diffractometer HEiDi operated jointly by RWTH Aachen (Institute of Crystallography) and Forschungszentrum Jülich GmbH (JCNS) within the JARA cooperation. Parts of this research were also carried out at PETRA-III. We acknowledge DESY (Hamburg, Germany), a member of the Helmholtz Association HGF, for the provision of experimental facilities.

Funding information

This work was supported by projects 05K16PA3 (to Georg Roth, Martin Meven and Andrzej Grzechnik) and 05K19PA2 (to Martin Meven, Vladimir Hutanu, Andrzej Grzechnik, Robert Georgii and Yixi Su) from the Bundesministerium für Bildung und Forschung (BMBF).

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