Olga V.
Yakubovich
a,
Larisa V.
Shvanskaya
ab,
Olga V.
Dimitrova
a,
Olga S.
Volkova
ac and
Alexander N.
Vasiliev
*ad
aM. V. Lomonosov Moscow State University, Moscow 119991, Russia. E-mail: vasil@mig.phys.msu.ru
bNational University of Science and Technology “MISiS”, Moscow 119049, Russia
cUral Federal University, Ekaterinburg 620002, Russia
dNational Research South Ural State University, Chelyabinsk 454080, Russia
First published on 8th June 2017
The manganese end member of triplite–triploidite series of compounds, Mn2(PO4)OH, is synthesized by a hydrothermal method. Its crystal structure is refined in the space group P21/c with a = 12.411(1) Å, b = 13.323(1) Å, c = 10.014(1) Å, β = 108.16(1), V = 1573.3 Å3, Z = 8, and R = 0.0375. Evidenced in measurements of magnetization M and specific heat Cp, Mn2(PO4)OH reaches a long range antiferromagnetic order at TN = 4.6 K. As opposed to both triplite Mn2(PO4)F and triploidite-type Co2(PO4)F, the title compound is magnetically frustrated being characterized by the ratio of Curie–Weiss temperature Θ to Néel temperature TN of about 20. The large value of frustration strength |Θ|/TN stems from the twisted saw tooth chain geometry of corner sharing triangles of Mn polyhedra, which may be isolated within tubular fragments of a triploidite crystal structure.
The geometric frustration in three-dimensional magnets is associated usually with the triangular motif in the arrangement of magnetically active ions. Thus, a three-dimensional network of corner-sharing tetrahedra constitutes the magnetic subsystem in cubic transition metal spinels and in rare-earth pyrochlores. The ferrite structure can be considered as a sequence of frustrated kagomé and triangular layers stacked alternatively to form a three-dimensional arrangement. Significantly more complicated is the magnetic network of frustrating units in garnets represented by interpenetrating rings of corner-sharing triangles. The transition metal based members of the garnet's family exhibit only modest degree of frustration |Θ|/TN ∼ 3.8–10 Also, there are three-dimensional heavily frustrated magnets having hyper-kagomé11 or tetragonal pyrogermanate structures,12 but not many.
In this work, we present a candidate for a frustrated magnet that belongs to a completely different structure type, i.e. triploidite Mn2(PO4)OH. The name “triploidite” indicates “near triplite” and specifies a manganese phosphate similar to triplite, Mn2(PO4)F, but containing hydroxyl instead of fluorine. A triploidite group of minerals unites isotypic monoclinic phosphates and arsenates with the general formula M2(TO4)Z and besides triploidite itself, Mn2(PO4)(OH), includes wagnerite, Mg2(PO4)F, hydroxylwagnerite, Mg2(PO4)(OH), wolfeite, Fe2(PO4)(OH) and sarkinite, Mn2(AsO4)(OH). All of them crystallize in a space group P21/c and have a b cell parameter of about 13 Å. For triplite group of minerals described by the same general formula, the b cell parameter is twice smaller and the monoclinic unit cell is Bravais centered (space group C2/c).13 Nevertheless, the crystal structures of minerals of both groups have very similar topologies. Natural mineral phases belonging to the triplite–triploidite supergroup14 often present solid solutions of Mg/Fe/Mn on one hand and F/OH on the other hand. Recent X-ray diffraction studies of more than 40 mineral samples have shown that their crystal structures may be periodically or aperiodically modulated. It has been suggested that they should be described in the framework of a superspace model with the (3 + 1)-dimensional space group C2/c(0β0)s0 based on the average triplite structure and the modulation vector q = βb*.15
Besides minerals, the large series of synthetic analogues – mainly phosphates and some arsenates – were obtained and structurally investigated (Table S1†). They are the end members without isomorphic substitutions and thus, no modulations have been noticed in connection with these triplite- or triploidite-like crystal structures. Curiously, synthetic phases with triplite structures present fluoride-phosphate solely, while triploidite-like compounds are possible to grow both as F- or OH-varieties. Despite the fact that many chemical compositions were realized as laboratory prototypes of minerals, the synthetic triploidite Mn2(PO4)OH has not been obtained so far. Here, we report the hydrothermal synthesis, crystal structure refinement and thermodynamic properties of Mn2(PO4)OH. Unexpectedly, this compound was found to be magnetically frustrated, as opposed to both triplite Mn2(PO4)F and triploidite-type Co2(PO4)F, but similar to Mn2(AsO4)OH.16 In variance with numerous frustrated antiferromagnets of a pyrochlore or spinel type possessing a three-dimensional triangular magnetic lattice, the Mn2(PO4)OH represents a rare case of corner-sharing twisted saw tooth chain magnetic system.
The composition of the title compound was analyzed with a scanning electron microscope JSM6480LV equipped with an INCA Energy-350 energy dispersive detector and an INCAWave-500 four-crystal wavelength dispersive spectrometer.‡ The measurements were made at 20 kV and 7 nA, and the sample was stable under these conditions. X-ray spectral analysis provided a semi-quantitative result with the Mn:
P
:
O ratios close to 2
:
1
:
5, which is consistent with the results of the X-ray diffraction structural study. No impurity elements were found in the crystals’ composition.
Single crystal X-ray diffraction data were collected at ambient temperature by using MoKα radiation with an Oxford Diffraction Xcalibur-S area detector diffractometer. Recorded reflection intensities (full sphere of reciprocal space) were corrected for Lorentz and polarization effects, and a numerical absorption correction based on Gaussian integration over a multifaceted crystal model was applied. All calculations were performed in the WinGX32 software package.17 Atomic scattering factors and anomalous dispersion corrections were taken from the International Tables for Crystallography.18 The crystal structure was solved via direct methods in the space group P21/c with the SHELXT program.19 Atomic positions were refined against the F2 data using SHELXL programs20 with anisotropic displacement parameters for all non-H atoms. Four symmetrically independent H atoms forming hydroxyl groups were obtained by difference-Fourier techniques and refined in an isotropic approximation. The O–H bond lengths were fixed by hard restraints to an empirical value of 0.80 Å in order to obtain comparable H-bond geometry not affected by arbitrary scattering of the refined O–H distances. The main crystallographic characteristics of synthetic triploidite Mn2(PO4)OH and experimental parameters for data collection and structure refinement are summarized in Table 1.
Formula | Mn2(PO4)(OH) |
Absorption μ [mm−1] | 6.725 |
Space group | P21/c, Z = 8 |
a, b, c (Å) | 10.0142(8), 13.323(1), 12.411(1) |
β (°), V (Å3) | 108.16(1), 1573.3(1) |
F(000), density Dcalc [g cm−3] | 1696, 3.747 |
Crystal size [mm] | 0.08 × 0.01 × 0.01 |
Radiation | MoKα (λ = 0.71073 Å) |
Temperature [K] | 293(2) |
Scanning mode | ω scan |
Measuring range | Max θ = 26.50° |
h, k, l ranges | −12 ≤ h ≤ 12, −16 ≤ k ≤ 16, −15 ≤ l ≤ 15 |
Absorption correction | Numerical (Gaussian) |
T min, Tmax | 0.857, 0.966 |
R int/Rσ | 0.043/0.023 |
Reflections total/unique/observed [I > 2σ(I)] | 23![]() |
Parameters | 306 |
R (observed refl.) | 0.0375 |
R, wR2 (all refl.) | 0.0510, 0.0668 |
Goodness of fit | 1.295 |
Extinction coefficient | 0.00035(5) |
δρ (max)/(min) [e Å−3] | 0.491/−0.462 |
The final atom positions are given in Table S2,† while Table 2 reports characteristic distances. The hydrogen bonds’ geometry is presented in Table 3. A bond-valence calculation (Table S3†) has been performed using the algorithm and parameters given in ref. 21. Valence contributions of the H atoms were estimated from O–O distances following the equations from ref. 22; the relationship between the O–O distance and H–O (acceptor) bond valence is calculated from the O–H curve of ref. 23. Data from Table S3† confirm clearly the assignment of O and OH ligands; these data are consistent with the assumed oxidation state of manganese ions, i.e. Mn2+.
Mn1-octahedron | Mn2-bipyramid | Mn3-bipyramid |
---|---|---|
Mn1–O12 2.139(3) | Mn2–O12#1 2.087(3) | Mn3–O9 2.083(3) |
–O4 2.158(3) | –O19 2.099(2) | –O17 2.101(3) |
–O6 2.170(3) | –O14 2.116(3) | –O15 2.102(3) |
–O16 2.202(2) | –O7 2.134(3) | –O18 2.109(3) |
–O5 2.209(3) | –O4 2.189(3) | –O17#2 2.223(3) |
–O7 2.299(3) | ||
<Mn1–O > 2.196 | <Mn2–O > 2.125 | <Mn3–O > 2.124 |
Mn4-octahedron | Mn5-octahedron | Mn6-bipyramid |
---|---|---|
Mn4–O9 2.150(3) | Mn5–O12#4 2.166(3) | Mn6–O5 2.086(3) |
–O3 2.185(3) | –O13 2.166(3) | –O10 2.109(3) |
–O2 2.194(3) | –O2 2.184(3) | –O18 2.126(3) |
–O8 2.196(3) | –O16#4 2.234(3) | –O19#5 2.204(3) |
–O1#3 2.237(3) | –O8 2.258(3) | –O20 2.239(3) |
–O1 2.239(3) | –O11 2.340(3) | |
<Mn4–O > 2.200 | <Mn5–O > 2.225 | <Mn6–O > 2.153 |
Mn7-bipyramid | Mn8-octahedron | P1-tetrahedron |
---|---|---|
Mn7–O8 2.095(3) | Mn8–O9 2.174(3) | P1–O11#8 1.534(3) |
–O20#6 2.130(3) | –O6 2.180(3) | –O15#9 1.540(3) |
–O14#7 2.154(3) | –O11#6 2.194(3) | –O14#10 1.547(3) |
–O15 2.181(3) | –O5 2.229(3) | –O7 1.548(3) |
–O10#6 2.188(3) | –O13#6 2.275(3) | <P1–O > 1.542 |
–O3 2.320(3) | ||
<Mn7–O > 2.150 | <Mn8–O > 2.229 |
P2-tetrahedron | P3-tetrahedron | P4-tetrahedron |
---|---|---|
Symmetry transformations used to generate equivalent atoms: #1 x, −y + ½, z + ½; #2 −x, −y, −z + 1; #3 −x, −y, −z + 2; #4 x − 1, y, z; #5 x, −y + ½, z − ½; #6 −x, y − ½, −z + 1½; #7 x − 1, −y + ½, z − ½; #8 x + 1, y, z; #9 x + 1, −y + ½, z + ½; #10 −x + 1, −y + 1, −z + 2; #11 −x + 1, −y, −z + 2; #12 −x, y + ½, −z + 1½. | ||
P2–O16#4 1.535(3) | P3–O17#1 1.531(3) | P4–O3 1.533(3) |
–O13#1 1.542(3) | –O2 1.536(3) | –O6#11 1.537(3) |
–O18#1 1.550(3) | –O19 1.542(3) | –O4 1.545(3) |
–O1 1.553(3) | –O20 1.546(3) | –O10#1 1.554(3) |
<P2–O > 1.545 | <P3–O > 1.539 | <P4–O > 1.542 |
D–H⋯A | d(D–H), Å | d(H⋯A), Å | d(D⋯A), Å | ∠(DHA), ° |
---|---|---|---|---|
Symmetry transformations used to generate equivalent atoms are as shown in footnotes for Table 2. | ||||
O9–H1⋯O13#6 | 0.800(1) | 2.24(4) | 2.784(4) | 125(4) |
O9–H1⋯O17#2 | 0.800(1) | 2.33(4) | 2.811(4) | 120(4) |
O5–H2⋯O3 | 0.800(1) | 2.36(3) | 2.872(4) | 122(4) |
O5–H2⋯O4 | 0.800(1) | 2.56(3) | 3.003(4) | 117(3) |
O12–H3⋯O4#5 | 0.800(1) | 2.36(4) | 2.818(4) | 117(4) |
O12–H3⋯O10 | 0.800(1) | 2.60(3) | 3.182(4) | 131(4) |
O12–H3⋯O11#8 | 0.800(1) | 2.34(4) | 2.885(4) | 126(4) |
O8–H4⋯O1 | 0.800(1) | 2.65(3) | 3.122(4) | 120(3) |
O8–H4⋯O16#4 | 0.800(1) | 2.23(4) | 2.767(4) | 125(4) |
![]() | ||
Fig. 2 Basic structural units with atom labeling scheme. Displacement ellipsoids are presented at the 90% probability level. See symmetry codes in footnotes for Table 2. |
The positions and refinement of the H atoms has allowed a detailed analysis of the H bonds’ peculiarities (Table 3). The system of O–H–O asymmetrical H bonds between OH groups and O atoms provides additional crosslinking in the structure. With O–O distances between 2.767(4) and 3.182(4) Å, they are classified as weak and very weak bonds. Three of the four hydroxyl groups are involved in bifurcated hydrogen bonding, while the fourth hydrogen atom (H3) forms a trifurcated hydrogen bond. Typically for inorganic compounds, all hydrogen bonds are meaningfully non-linear with O–H⋯O angles ranging between 117(3) and 126(4)°.
Three varieties of topologically distinct strongly corrugated chains built of Mn-centered polyhedra sharing edges and vertices may be distinguished in the crystal structure, as shown in Fig. 3. The chains of the first type are aligned parallel to the b axis of the unit cell and are formed from alternating pairs of sharing edges of MnO4(OH)2 octahedra and MnO4(OH) bipyramids linked through common vertices of neighbouring polyhedra according to the scheme: Mn5O4(OH)2 = Mn8O4(OH)2–Mn6O4(OH) = Mn7O4(OH)–Mn5O4(OH)2 = Mn8O4(OH)2…, where “=” denotes the shared edges and “–” signifies the shared polyhedron vertices. The same way of alternation (octahedron = octahedron–bipyramid = bipyramid–octahedron = octahedron…) is realized in the chains of the second type ranged along the c axis and built of Mn-centered polyhedra sharing edges and vertices: Mn4O4(OH)2 = Mn4O4(OH)2–Mn3O4(OH) = Mn3O4(OH)–Mn4O4(OH)2 = Mn4O4(OH)2…. The third sort of chains also parallel to the [001] direction, consists of Mn2- and Mn1-centered polyhedra, which are placed along the chain in the following mode: Mn2O4(OH) = M14O4(OH)2–Mn2O4(OH) = Mn1O4(OH)2–Mn2O4(OH) = Mn1O4(OH)2…, e.g. the octahedra and trigonal bipyramids share edges and vertices, and alternate within this chain in contrast to the case of triplite where an interchange of polyhedra obeys the rule: two octahedra–two bipyramids. Along the a axis the described chains of octahedra and trigonal bipyramids interconnect in a three-dimensional cationic framework through common edges and vertices as shown in Fig. 4. Anionic [PO4]3− oxo-complexes strengthen the framework by sharing all vertices of tetrahedra with Mn-centered polyhedra (Fig. S1†).
![]() | ||
Fig. 3 Three types of chains built by Mn-centered polyhedra that form the cationic framework of the Mn2(PO4)OH crystal structure. |
From the magnetic standpoint one can presume that edge-sharing polyhedra are coupled by ferromagnetic exchange interaction, while the vertex-sharing units are coupled by antiferromagnetic exchange interactions.24 The first principles calculation of relative strength of these interactions in Mn3(PO4)2 phases25 in comparison to exchange interactions through [PO4]3− groups has allowed neglecting the latter.
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Fig. 5 The temperature dependences of both direct and inverse magnetic susceptibility in Mn2(PO4)OH taken at B = 0.1 T. The inset enlarges the low-temperature data. |
At about 50 K, the χ(T) dependence deviates upward from the extrapolation of the Curie–Weiss law which evidences the presence of ferromagnetic exchange interactions. The sharp peak at about 5 K marks the transition into a long range antiferromagnetic state. Strictly speaking, the phase transition into a magnetically ordered state is defined by singularity in dχ/dT vs. T dependence, rather than singularity in χ(T) dependence itself, cf. specific heat data. Below this temperature, an additional relatively broad anomaly is seen at TSch = 3 K.
The field dependence of magnetization M(B) in Mn2(PO4)OH obtained at T = 2 K is shown in Fig. 6. The magnetization increases non-monotonously reflecting tentatively the spin-flop transition marked by a sharp peak in dM/dB vs. B dependence, as shown in the inset to Fig. 6. The low value of spin-flop field BSF = 0.9 T is consistent with low crystalline anisotropy assumed for Mn2+ ions. At B = 9 T, the magnetization reaches only quarter of presumed saturation magnetization of about 10μB signaling rather large values of exchange interaction parameters in Mn2(PO4)OH.
![]() | ||
Fig. 6 The field dependence of magnetization in Mn2(PO4)OH at T = 2 K. The arrow at BSF denotes the spin-flop transition. The inset represents the dM/dB vs. B dependence. |
Further evidence of long range magnetic ordering was obtained in measurements of specific heat Cp. Its temperature dependence is shown in Fig. 7. Along with a sharp peak at TN = 4.6 K two broad Schottky-type anomalies can be seen both below and above the Néel temperature. The low temperature Schottky-type anomaly is more pronounced in Cp/T vs. T presentation of experimental data, as shown in the inset to Fig. 7. The Schottky-type anomalies in both magnetic susceptibility and specific heat could be ascribed to some non-magnetic entity (tentatively hydrogen), since it is virtually insensitive to an external magnetic field.
![]() | ||
Fig. 7 The temperature dependence of specific heat in Mn2(PO4)OH. The inset visualizes the low temperature Schottky-type anomaly at TSch = 3 K. |
The magnetic entropy released at T < TN constitutes about 20% of the total magnetic entropy Smagn = nRln(2S + 1), where R is the universal gas constant. This fact is in correspondence with a large value of the |Θ|/TN ratio indicating that magnetic entropy is released mainly at the formation of a short-range correlation regime well above the Néel temperature.
The geometry of strongly corrugated intersecting chains of Mn-centered polyhedra in Mn2(PO4)OH (Fig. 3 and 4) does not presume heavy magnetic frustration, at least when the next-nearest-neighbor interactions are not taken into account. These chains are composed of edge- and vertex-sharing units, which presume an alternation of ferromagnetic and antiferromagnetic exchange interactions in accordance with Goodenough–Kanamori–Anderson rules. The competition between antiferromagnetic and ferromagnetic interactions may lead to the suppression of Weiss temperature but does not influence the Néel temperature significantly.
Therefore, the source of heavy frustration is to be seen in the arrangement of Mn-centered polyhedra along the a axis. The vertex-sharing polyhedra in the Mn2(PO4)OH crystal structure form the tubular fragment, as shown in Fig. 8a. Within these tubes the twisted saw tooth chain arrangement of vertex-sharing Mn-centered polyhedra can be identified, as shown in Fig. 8b. This arrangement is topologically equivalent to the ribbon cut from the highly frustrated kagomé lattice. The interactions between tubes in the Mn2(PO4)OH triploidite structure are provided by edge-sharing polyhedra (see Fig. 4), being tentatively ferromagnetic.
![]() | ||
Fig. 8 Tubular structural fragment formed by Mn2+ cations shown along the a axis (a). The geometry of corner-sharing twisted saw tooth chain within the tube of Mn atoms (b). |
Despite the fact that the Co2(PO4)F triploidite-type phase is isostructural to the title compound, it is not heavily frustrated. In the case of Co2(PO4)F, the polyhedra within the tubular fragments running along the a axis share both fluorine and oxygen vertices. The presumed difference in bonding through the overlap of d orbitals of Mn2+ ions with p orbitals of either F− or O2− ions lifts the frustration. The triplite, Mn2(PO4)F, is not frustrated, since no triangular motif can be identified in the crystal structure of this compound organized by edge-sharing octahedra.
Let us note here that phosphate mineral analogues Co2(PO4)OH and Cu2(PO4)OH can be obtained in completely different structure types, the former showing the spin-glass behavior and the latter showing properties of the spin liquid.28
Footnotes |
† Electronic supplementary information (ESI) available: CIF from single crystal X-ray diffraction study (also deposited in the CSD as entire 43273); tables containing atomic positions and results of BVC, and structural figure. See DOI: 10.1039/c7dt01707c |
‡ The analysis was performed at the Laboratory of Local Methods for Matter Investigation of the Department of Petrology at the Faculty of Geology of Moscow State University. |
This journal is © The Royal Society of Chemistry 2017 |