research papers\(\def\hfill{\hskip 5em}\def\hfil{\hskip 3em}\def\eqno#1{\hfil {#1}}\)

ISSN: 2052-2525

Tuning structural modulation and magnetic properties in metal–organic coordination polymers [CH3NH3]CoxNi1−x(HCOO)3

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aDiffraction Group, Institut Laue Langevin, 71 avenue des Martyrs, Grenoble 38042, France, and bSchool of Chemistry, University Park, Nottingham NG7 2RD, United Kingdom
*Correspondence e-mail: lcd@ill.fr

Edited by P. Lightfoot, Formby, Liverpool, United Kingdom (Received 23 May 2024; accepted 30 August 2024; online 24 September 2024)

Three solid solutions of [CH3NH3]CoxNi1−x(HCOO)3, with x = 0.25 (1), x = 0.50 (2) and x = 0.75 (3), were synthesized and their nuclear structures and magnetic properties were characterized using single-crystal neutron diffraction and magnetization measurements. At room temperature, all three compounds crystallize in the Pnma orthorhombic space group, akin to the cobalt and nickel end series members. On cooling, each compound undergoes a distinct series of structural transitions to modulated structures. Compound 1 exhibits a phase transition to a modulated structure analogous to the pure Ni compound [Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896–17905], whereas compound 3 maintains the behaviour observed in the pure Co compound reported previously [Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105–115], although in both cases the temperatures at which the phase transitions occur differ slightly from the pure phases. Monochromatic neutron diffraction measurements showed that the structural evolution of 2 diverges from that of either parent compound, with competing hydrogen bond interactions that drive the modulation throughout the series, producing a unique sequence of phases. It involves two modulated phases below 96 (3) and 59 (3) K, with different q vectors, similar to the pure Co compound (with modulated phases below 128 and 96 K); however, it maintains the modulated phase below magnetic order [at 22.5 (7) K], resembling the pure Ni compound (which presents magnetic order below 34 K), resulting in an improper modulated magnetic structure. Despite these large-scale structural changes, magnetometry data reveal that the bulk magnetic properties of these solid solutions form a linear continuum between the end members. Notably, doping of the metal site in these solid solutions allows for tuning of bulk magnetic properties, including magnetic ordering temperature, transition temperatures and the nature of nuclear phase transitions, through adjustment of metal ratios.

1. Introduction

Coordination polymers (CPs) can integrate multiple physical properties into a single framework (Cui et al., 2016[Cui, Y., Li, B., He, H., Zhou, W., Chen, B. & Qian, G. (2016). Acc. Chem. Res. 49, 483-493.]; Lin et al., 2014[Lin, Z.-J., Lü, J., Hong, M. & Cao, R. (2014). Chem. Soc. Rev. 43, 5867-5895.]; Li et al., 2016[Li, B., Wen, H.-M., Cui, Y., Zhou, W., Qian, G. & Chen, B. (2016). Adv. Mater. 28, 8819-8860.]; Liu et al., 2016[Liu, K., Zhang, X., Meng, X., Shi, W., Cheng, P. & Powell, A. K. (2016). Chem. Soc. Rev. 45, 2423-2439.]; Furukawa et al., 2013[Furukawa, H., Cordova, K. E., O'Keeffe, M. & Yaghi, O. M. (2013). Science, 341, 1230444.]; Zhao & Miao, 2024[Zhao, X. & Miao, X. (2024). Coord. Chem. Rev. 502, 215611.]; Wang et al., 2024[Wang, Y., Xue, Y. & Züttel, A. (2024). Chem. Soc. Rev. 53, 972-1003.]; Gomez-Romero et al., 2024[Gomez-Romero, P., Pokhriyal, A., Rueda-García, D., Bengoa, L. N. & González-Gil, R. M. (2024). Chem. Mater. 36, 8-27.]; Wang & Astruc, 2020[Wang, Q. & Astruc, D. (2020). Chem. Rev. 120, 1438-1511.]). The magnetic properties of CPs are of particular interest, and can be combined with other physical characteristics to produce multifunctional materials. This multifunctionality is enabled by the presence of both organic molecules and metal cations in the same network and creates a plethora of opportunities for the development of novel smart materials (Coronado & Mínguez Espallargas, 2013[Coronado, E. & Mínguez Espallargas, G. (2013). Chem. Soc. Rev. 42, 1525-1539.]; Luo et al., 2016[Luo, X.-L., Yin, Z., Zeng, M.-H. & Kurmoo, M. (2016). Inorg. Chem. Front. 3, 1208-1226.]; Coronado, 2020[Coronado, E. (2020). Nat. Rev. Mater. 5, 87-104.]; Verdaguer & Gleizes, 2020[Verdaguer, M. & Gleizes, A. N. (2020). Eur. J. Inorg. Chem. 2020, 723-731.]; Liu et al., 2022[Liu, J., Xue, J., Yang, G.-P., Dang, L. L., Ma, L. F., Li, D. S. & Wang, Y. Y. (2022). Coord. Chem. Rev. 463, 214521.]). Aperiodic CPs are of growing interest to the crystallographic community as, despite being long-range ordered, they lack the three-dimensional periodicity which underlies many of the fundamental assumptions of diffraction analysis. Modulated crystals are an important class of aperiodic crystals (van Smaalen, 2004[Van Smaalen, S. (2004). Z. Kristallogr. Cryst. Mater. 219, 681-691.]). A structure is modulated where the average translational symmetry is disrupted by the introduction of an additional periodic function. The modulation can describe the atomic displacements or occupations for structural modulations (Pinheiro & Abakumov, 2015[Pinheiro, C. B. & Abakumov, A. M. (2015). IUCrJ, 2, 137-154.]; Janssen & Janner, 2014[Janssen, T. & Janner, A. (2014). Acta Cryst. B70, 617-651.]), where the periodicity of the modulations exceeds that of the average structure, i.e. the recurrent part of the structure is larger than the unit cell of the parent structure. If the modulation periodicity can be described by a rational fraction, the structure is commensurately modulated. If an irrational value is necessary, the compound is incommensurately modulated (van Smaalen, 2004[Van Smaalen, S. (2004). Z. Kristallogr. Cryst. Mater. 219, 681-691.]).

The signature of modulated phases are satellite reflections in their diffraction patterns: reflections that cannot be indexed by a three-dimensional space group and are separate from the main Bragg reflection by a defined spacing. From the satellite reflections, the modulation periodicity, described by the wavevector q, can be calculated. The driving force behind the modulated phases lies in unresolved frustration (Dzyabchenko & Scheraga, 2004[Dzyabchenko, A. & Scheraga, H. A. (2004). Acta Cryst. B60, 228-237.]; Herbstein, 2005[Herbstein, F. H. (2005). Crystalline Molecular Complexes and Compounds: Structure and Principles. Oxford University Press.]; Schönleber, 2011[Schönleber, A. (2011). Z. Kristallogr. Cryst. Mater. 226, 499-517.]). Explored examples of mechanisms which have induced modulation include cooperative Jahn–Teller distortions (Noda et al., 1978[Noda, Y., Mori, M. & Yamada, Y. (1978). J. Phys. Soc. Jpn, 45, 954-966.]), inter/intra-molecular steric constraints (Bakus et al., 2013[Bakus, R. C. II, Atwood, D. A., Parkin, S., Brock, C. P. & Petricek, V. (2013). Acta Cryst. B69, 496-508.]) and hydrogen bonding (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]). In each case, the competing interactions result in the loss of translational symmetry between average unit cells.

Reports of molecular frameworks that exhibit modulated phases are still limited (Aroyo et al., 2011[Aroyo, M. I., Perez-Mato, J. M., Orobengoa, D., Tasci, E., de la Flor, G. & Kirov, A. (2011). Bulg. Chem. Commun. 43, 183-197.], 2006[Aroyo, M. I., Perez-Mato, J. M., Capillas, C., Kroumova, E., Ivantchev, S., Madariaga, G., Kirov, A. & Wondratschek, H. (2006). Z. Kristallogr. Cryst. Mater. 221, 15-27.]). This is particularly remarkable since weak interactions commonly observed in CPs, including hydrogen bonding, dipole–dipole interactions and π-stacking are equivalent to the forces that usually generate aperiodic systems (Pinheiro & Abakumov, 2015[Pinheiro, C. B. & Abakumov, A. M. (2015). IUCrJ, 2, 137-154.]). This would suggest that many of the published compounds might have unreported modulated phases (Oppenheim et al., 2020[Oppenheim, J. J., Skorupskii, G. & Dincă, M. (2020). Chem. Sci. 11, 11094-11103.]). However, the study of these systems is of potential interest because the intrinsic properties of the material, such as phonon, electric, magnetic, photonic or molecular transport properties, are likely to be different from those of periodic materials (Janssen & Janner, 2014[Janssen, T. & Janner, A. (2014). Acta Cryst. B70, 617-651.]; Poddubny & Ivchenko, 2010[Poddubny, A. N. & Ivchenko, E. L. (2010). Phys. E: Low-Dimens. Syst. Nanostructures, 42, 1871-1895.]; de Regt et al., 1995[Regt, J. M., Dijk, J., Mullen, J. A. M. & Schram, D. (1995). J. Phys. D Appl. Phys. 28, 40-46.]; Vardeny et al., 2013[Vardeny, Z. V., Nahata, A. & Agrawal, A. (2013). Nat. Photon. 7, 177-187.]). This is important in the sense that in many cases a more comprehensive review of the literature is necessary to identify novel structure–property relationships (Allendorf et al., 2021[Allendorf, M. D., Stavila, V., Witman, M., Brozek, C. K. & Hendon, C. H. (2021). J. Am. Chem. Soc. 143, 6705-6723.]).

The methyl­ammonium metal formates, [CH3NH3M(HCOO)3, where M = Co and Ni (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.], 2020[Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896-17905.]), are more unusual, as both undergo phase transitions from unmodulated to incommensurately modulated structures on cooling. Although isomorphous at ambient temperature, the series of temperature-induced phase transitions exhibited by the two compounds are not equivalent (Fig. 1[link]).

[Figure 1]
Figure 1
Temperature-dependent phase evolution for a single crystal of [CH3NH3]­Co(HCOO)3 and [CH3NH3]Ni(HCOO)3 from 2 to 150 K. Above 150 K up to ambient temperature, there are no further phase transitions observed. The lowest-temperature transitions for each metal (blue) correspond to magnetic ordering.

At ambient temperature [CH3NH3]M(HCOO)3 (M = Co and Ni) crystallizes in the orthorhombic space group Pnma (Boča et al., 2004[Boča, M., Svoboda, I., Renz, F. & Fuess, H. (2004). Acta Cryst. C60, m631-m633.]), adopting a perovskite-like structure ABX3, with the metal atoms occupying the B-site, the methyl­ammonium cation located in the A-site and the formate ligand serving as a linker between the metal atoms at the X-site. Each metal site (Wyckoff site 4b) is octahedrally coordinated and is bridged by formate anions in the anti–anti coordination mode to form a three-dimensional framework. The carbon and nitro­gen atoms of the methyl­ammonium cations are positioned at (x, 0.25, z) and (x, 0.75, z), within the voids of the framework. On cooling, [CH3NH3]Co(HCOO)3 experiences its first phase transition at approximately 128 K to the superspace group Pnma(00γ)0s0 (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]). In this phase, there is a modulated unit cell, with the wavevector q = 0.1430 (2)c*, describing a modulation length of 6.99 times that of the average c axis. At 96 K, a second transition is observed where there is a change in the wavevector q = 0.1247 (2)c*, however the symmetry of the crystal remains the same, Pnma(00γ)0s0. In this phase, the modulation length is approximately 7.92 times larger than the average unit cell. For both the modulated phases, the atom displacement occurs predominately along the b axis, with the amplitude displacements larger for the second modulated phase. Below 78 K a fourth phase is obtained, a twinned, non-modulated monoclinic structure with P21/n symmetry (Mazzuca et al., 2018[Mazzuca, L., Cañadillas-Delgado, L., Fabelo, O., Rodríguez-Velamazán, J. A., Luzón, J., Vallcorba, O., Simonet, V., Colin, C. V. & Rodríguez-Carvajal, J. (2018). Chem. A Eur. J. 24, 388-399.]), with two domains, contributing 50% to the total intensity, related by a rotation of 180° around the orthorhombic c* axis. The onset of long-range magnetic ordering with weak ferromagnetic behaviour is observed at 16 K, with the ferromagnetic component along the c axis (Gómez-Aguirre et al., 2016[Gómez-Aguirre, L. C., Pato-Doldán, B., Mira, J., Castro-García, S., Señarís-Rodríguez, M. A., Sánchez-Andújar, M., Singleton, J. & Zapf, V. S. (2016). J. Am. Chem. Soc. 138, 1122-1125.]; Pato-Doldán et al., 2016[Pato-Doldán, B., Gómez-Aguirre, L. C., Hansen, A. P., Mira, J., Castro-García, S., Sánchez-Andújar, M., Señarís-Rodríguez, M. A., Zapf, V. S. & Singleton, J. (2016). J. Mater. Chem. C. 4, 11164-11172.]; Ding et al., 2023[Ding, L., Colin, C. V., Simonet, V., Stock, C., Brubach, J.-B., Verseils, M., Roy, P., Sakai, V. G., Koza, M. M., Piovano, A., Ivanov, A., Rodriguez-Rivera, J. A., de Brion, S. & Songvilay, M. (2023). Phys. Rev. Mater. 7, 084405.]). In the single-crystal study, only the monoclinic P21′/n′ magnetic structure is observed (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]) [Fig. S1(a) of the supporting information]; however, with powder neutron diffraction data a combination of P21′/n′ and Pn′ma′ magnetic phases is reported (Mazzuca et al., 2018[Mazzuca, L., Cañadillas-Delgado, L., Fabelo, O., Rodríguez-Velamazán, J. A., Luzón, J., Vallcorba, O., Simonet, V., Colin, C. V. & Rodríguez-Carvajal, J. (2018). Chem. A Eur. J. 24, 388-399.]).

In comparison, the Ni analogue remains in the non-modulated Pnma space group on cooling to 84 K (Cañadillas-Delgado et al., 2020[Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896-17905.]). Below this temperature, it adopts the superspace group Pnma(00γ)0s0 with q = 0.1426 (2)c*. [CH3NH3]Ni(HCOO)3 remains in this incommensurately modulated phase until the onset of long-range magnetic ordering at 34 K (Pato-Doldán et al., 2016[Pato-Doldán, B., Gómez-Aguirre, L. C., Hansen, A. P., Mira, J., Castro-García, S., Sánchez-Andújar, M., Señarís-Rodríguez, M. A., Zapf, V. S. & Singleton, J. (2016). J. Mater. Chem. C. 4, 11164-11172.]), where the compound orders in the magnetic superspace group Pn′ma′(00γ)0s0. Here, the phase is described as a proper incommensurate magnetic structure, as the magnetic moments network presents a modulation due to the occurrence of incommensurate magnetic modes. Consequently, in this phase there is the coexistence of an incommensurately modulated nuclear and magnetic structure. The moments are orientated primarily along the c axis, with an uncompensated contribution in the b direction [Figs. S1(b) and S1(c)]. The modulation of the moments occurs as static librations in the ac plane. The stimulus driving the modulated phase transitions for both the formate compounds is the hydrogen-bonded network between the NH3 hydrogen atoms of the methyl­ammonium cations and the oxygen atoms of the formate ligands. In the ambient-temperature phase, two of the hydrogen atoms participate in hydrogen bond interactions, whilst the third is too far in proximity to interact with the neighbouring oxygen atoms [Fig. S2(a)]. In the low-temperature P21/n phase, adopted by [CH3NH3]Co(HCOO)3, a third permanent hydrogen bond is present [Fig. S2(b)]. The methyl­ammonium cation, which is positioned along a mirror plane in the orthorhombic phase, rotates in the monoclinic phase breaking the symmetry element. H1 [atom labels as in Fig. S2(d)], which was originally equidistant to O3 and O3a (with a = x, −y + 3/2, z), is now closer to one of the oxygen atoms, establishing a hydrogen bond interaction. In the modulated phases, H1 is close enough in distance to interact with the oxygen atoms of the formate ligand. However, there are two competing hydrogen-bond acceptors [O3 and O3a, Fig. S2(c)] that are equidistant from H1 in the average structure. This frustration distorts the structure and results in the modulated displacement of all the atoms. Consequently, at a given point in the structure, O3 will be closer in distance to H1, yet, in other areas along the modulation, the N1—H1⋯O3a distance will be shorter.

In recent work on the control of the modulated phases (Li et al., 2020[Li, J., Zhou, Z., Han, X., Zhang, X., Yan, Y., Li, W., Smith, G. L., Cheng, Y., McCormick McPherson, L. J., Teat, S. J., Frogley, M. D., Rudić, S., Ramirez-Cuesta, A. J., Blake, A. J., Sun, J., Schröder, M. & Yang, S. (2020). J. Am. Chem. Soc. 142, 19189-19197.]), the authors analyse a metal–organic framework material, MFM-520, which displays a reversible periodic-to-aperiodic structural transition through host–guest interaction. The dehydrated phase presents an aperiodic structure with translational symmetry in (3+2)D space, which changes to a periodic phase when H2O molecules are incorporated in the pores of the structure. Subsequent substitution of H2O molecules with CO2 and SO2 revealed that, while CO2 exerts minimal structural influence, SO2 can also induce modulation in the structure. This study motivated us to investigate the feasibility of combining Ni and Co in the perovskite B-site to explore the sensitivity of the modulated phase transitions and magnetic characteristics of the formate compounds.

In the present work, solid solutions have been synthesized from the methyl­ammonium metal formates, [CH3NH3]­CoxNi1−x(HCOO)3, with x = 0.25 (1), x = 0.50 (2) and x = 0.75 (3), and their structures and magnetic properties have been analysed through single-crystal neutron diffraction and magnetometry studies. All three compounds were studied through Laue experiments on CYCLOPS and monochromatic measurements on D9 instruments, and a deep study of the modulated phases and magnetic structure was carried out on compound 2 on the D19 monochromatic diffractometer. Magnetic measurements were carried out using a Quantum Design Magnetic Property Measurements System-XL (MPMS) with a Superconducting Quantum Interference Device (SQUID) magnetometer.

2. Results

2.1. Synthesis and ambient structure

Methyl­ammonium formate solid solutions were synthesized under solvothermal conditions from aqueous solutions of NiCl2·6H2O, CoCl2·6H2O, CH3NH3Cl and NaHCOO in stoichiometric quantities following the method previously reported (Mazzuca et al., 2018[Mazzuca, L., Cañadillas-Delgado, L., Fabelo, O., Rodríguez-Velamazán, J. A., Luzón, J., Vallcorba, O., Simonet, V., Colin, C. V. & Rodríguez-Carvajal, J. (2018). Chem. A Eur. J. 24, 388-399.]; Wang et al., 2004[Wang, X.-Y., Gan, L., Zhang, S.-W. & Gao, S. (2004). Inorg. Chem. 43, 4615-4625.]). The solutions were heated at 413 K (140°C) for 72 h before cooling, within the sealed autoclave, to room temperature. This yielded mm3-sized crystals of 1 (dark green), 2 (dark green) and 3 (dark red).

Single-crystal X-ray diffraction measurements reveal that the compounds are isostructural to the end-member methyl­ammonium formate compounds [CH3NH3]Co(HCOO)3 and [CH3NH3]Ni(HCOO)3 (Boča et al., 2004[Boča, M., Svoboda, I., Renz, F. & Fuess, H. (2004). Acta Cryst. C60, m631-m633.]; Pato-Doldán et al., 2016[Pato-Doldán, B., Gómez-Aguirre, L. C., Hansen, A. P., Mira, J., Castro-García, S., Sánchez-Andújar, M., Señarís-Rodríguez, M. A., Zapf, V. S. & Singleton, J. (2016). J. Mater. Chem. C. 4, 11164-11172.]) (Fig. 2[link]). Neutron diffraction studies were performed using the D9 diffractometer at the ILL to obtain more precise information on the metal site orderings and the Co and Ni ratio in each crystal (Geers & Cañadillas-Delgado, 2021b[Geers, M. & Cañadillas-Delgado, L. (2021b). Institut Laue-Langevin (ILL). https://doi.ill.fr/10.5291/ILL-DATA.EASY-846.]; Cañadillas-Delgado et al., 2023[Cañadillas-Delgado, L., Fabelo, O., Geers, M. & Pajuelo, O. (2023). Institut Laue-Langevin (ILL). https://doi.ill.fr/10.5291/ILL-DATA.EASY-1131.]). Room-temperature diffraction data were collected for single crystals of 1 (2 × 1.5 × 1.5 mm3), 2 (3 × 2 × 2 mm3) and 3 (1.5 × 1.5 × 1 mm3). The Co and Ni occupations were refined and were constrained such that the overall site occupancy was 1 and while the site positions and anisotropic displacement parameters for both species were constrained to be equal.

[Figure 2]
Figure 2
Connectivity of the metal–formate framework for compound 2 measured with the D9 diffractometer (ILL) at ambient temperature. Compounds 1 and 3 are isostructural. The ellipsoids are drawn with 50% probability and the hydrogen atoms are represented as sticks for clarity. Colour code: metal = pink, O – red, C – black, N – blue. Symmetry code: a = x, −y + 3/2, z; b = −x + 1, −y + 1, −z + 2; c = −x + 1/2, −y + 1, z + 1/2; d = x + 1/2, y, −z + 3/2.

The neutron diffraction data show that there is no ordering of the metals. The symmetry for the solid solutions are the same as for the end members, Pnma, with no superlattice reflections observed or reflections corresponding to systematic absences in the Pnma space group. The metal content for each crystal corresponds to x = 0.297 (9), 0.526 (8) and 0.765 (20) for 1, 2 and 3, respectively. These values are close to the stoichiometric quantities of metal chlorides used in the synthesis.

2.2. Magnetometry

Field-cooled (FC) and zero-field-cooled (ZFC) susceptibility measurements were carried out on microcrystalline samples using an applied field of 100 Oe over the temperature range 2–300 K. The extent of field induced magnetization was also explored at 2 K between −5.00 (1) and 5.00 (1) T.

The susceptibility data for compound 1 (Co25Ni75) indicate an ordering temperature TC = 28.5 (5) K [Fig. 3[link](a)]. From the plot of χT, the effective moment is calculated to be 3.936 (2) μB in comparison with μspin only = 3.09 μB and the Curie–Weiss temperature θCW = −70.8 (7) K (150 < T < 300 K). The high-temperature Curie constant, C, extracted from the Curie–Weiss fit in the range from 150 to 300 K is 2.432 (7) emu K mol−1 [Fig. S3(a)] which is larger than the spin-only value Cspin only = 1.21 emu K mol−1. This discrepancy in the Curie constant with respect to the spin-only value indicates strong orbital contributions, as is also reflected in the pure Co compound (Pato-Doldán et al., 2016[Pato-Doldán, B., Gómez-Aguirre, L. C., Hansen, A. P., Mira, J., Castro-García, S., Sánchez-Andújar, M., Señarís-Rodríguez, M. A., Zapf, V. S. & Singleton, J. (2016). J. Mater. Chem. C. 4, 11164-11172.]), and is also present in the other solid solutions (2 and 3). Both Ni2+ and Co2+ ions have large orbital contributions to the magnetic moment, meaning that in all these formate compounds θCW varied greatly with the temperature range used to perform the fit. The isothermal data reveal hysteresis at all magnetic fields measured for 1 [Fig. S4(a)]. It exhibits a remnant magnetization Mrem = 0.015 (1) μB per metal and a coercive field of HC = 0.15 (1) T. The magnetization does not reach saturation, Msat = 1.125 (1) μB per metal, with M5T = 0.158 (1) μB per metal at 5.00 (1) T (M5T/Msat. = 0.140).

[Figure 3]
Figure 3
FC and ZFC susceptibilities for compounds (a) 1, (b) 2 and (c) 3. The insets correspond to the derivative of the susceptibility.

For compound 2 (Co50Ni50), the FC and ZFC susceptibilities diverge at the ordering temperature, TC = 22.5 (7) K [Fig. 3[link](b)]. The effective magnetic moment μeff = 4.436 (2) μB compared with μspin only = 3.35 μB. Fitting the inverse susceptibility to the Curie–Weiss Law we obtain θCW = −56.3 (1) K and C = 2.938 (1) emu K mol−1 in the range 150 < T < 300 K, which is significantly higher than the spin only value Cspin only = 1.44 emu K mol−1 [Fig. S3(b)]. Hysteresis is observed in the magnetization data of 2, which closes at 5.0 (2) T [Fig. S4(b)]. The remnant magnetization is Mrem = 0.027 (1) μB per metal, with a coercive field of HC = 0.30 (1) T. The largest magnetization measured is M5T = 0.218 (1) μB per metal, which is lower than the saturation value Msat = 1.25 μB per metal (M5T/Msat = 0.175).

As compound 3 (Co75Ni25) is cooled, the FC and ZFC susceptibilities split at the ordering temperature, TC = 19.7 (5) K [Fig. 3[link](c)]. Similarly, the effective moment, μeff = 4.578 (2) μB, is larger than the spin-only value 3.61 μB. The Curie–Weiss temperature, obtained from a high-temperature fit of the data 150 < T < 300 K, is θCW = −43.6 (5) K, and C = 2.997 (3) emu K mol−1 in the same temperature range, which is greater than the spin-only value for the average magnetic site Cspin only = 1.66 emu K mol−1 [Fig. S3(c)]. The isothermal magnetization measurements for compound 3 show that as the field is increased, hysteresis is observed up to 3.04 (1) T, where the magnetization M = 0.219 (1) μB per metal [Fig. S4(c)]. The remnant magnetization is Mrem. = 0.045 (3) μB per metal, and the hysteresis has a coercive field of HC = 0.45 (1) T. At the largest field measured, 5.00 (1) T, the magnetization reaches M5 T = 0.337 (2) μB per metal, with no signs of a plateau. The degree of saturation is M5T/Msat = 0.245, where the saturation value Msat = 1.375 μB per metal.

For all three compounds, the combination of a negative θCW and hysteresis in the isothermal data suggest weak ferromagnetic behaviour, in agreement with the magnetic ordering of the parent compounds. If the crystals were biphasic, rather than true solid solutions, it would be expected that there are two ordering temperatures observed in the magnetometry data, one for the pure Co compound at 16 K and one for the pure Ni compound at 34 K. For the samples measured, essentially one ordering temperature is observed which increases incrementally between the Co and Ni ordering temperatures, dependent on the metal ratios used in the synthesis. This would support the X-ray and neutron diffraction data that there is no metal site ordering and the distribution of Co and Ni is random within the samples.

2.3. Temperature-dependent structural evolutions

Single-crystal Laue neutron diffraction was carried out for compounds 1, 2 and 3 on the CYCLOPS diffractometer at ILL, with the wavelength range 0.8−3.0 Å on the same crystals used on D9 diffractometer (Geers & Cañadillas-Delgado, 2021a[Geers, M. & Cañadillas-Delgado, L. (2021a). Institut Laue-Langevin (ILL). https://doi.ill.fr/10.5291/ILL-DATA.EASY-779.]). The samples were heated between 10 and 120 K and the diffractograms were collected with a 3 K range per image. This technique was not used to determine the structures, but to determine the temperatures at which structural phase transitions appear and estimate the q vectors of modulated phases.

For the Ni-rich compound, 1, the crystal remains in the Pnma space group on cooling to 85 (3) K. At this temperature, satellite reflections are visible (Fig. S5). The reflections match a calculated diffraction pattern for the Pnma space group with q = 0.140 (5)c*. These reflections remain as the sample is cooled to 10 K, without observable alteration to the q vector. Below 28 (3) K, although no new reflections appear in the pattern of the selected orientation, certain reflections increase in intensity [Fig. S5(e)]. This observation aligns with the long-range magnetic ordering temperature identified through magnetometry measurements (TC = 28.5 (5) K), indicating a k = (0,0,0) propagation vector.

When cooling, compound 2 remains in a non-modulated Pnma phase to 96 (3) K, at which temperature satellite reflections appear and the main reflection reduces in intensity [Fig. S6(b)]. The reflections can be modelled by the Pnma space group, with q = 0.140 (5)c*. A smooth phase transition can be observed at 59 (3) K with a change in distance between the main and satellite reflections as well as the appearance of additional satellite reflections, which increase in intensity down to 33 (3) K [Fig. S6(c)]. The reflections can be matched to the Pnma space group with q = 0.120 (5)c*. Below this temperature the position of the main and satellite reflections do not change further. Additional intensity to some reflections can be observed below 25 (3) K, in line with the ordering temperature observed from the magnetization data [TC = 22.5 (7) K, Fig. S6(d)]. This implies that the magnetic structure has a propagation vector of k = (0,0,0).

Cooling from 120 K, the diffraction pattern for 3 remains unchanged in the non-modulated Pnma space group to 98 (3) K, where the emergence of satellite peaks can be observed [Fig. S7(b)]. Below 98 (3) K, the main Bragg reflections match a calculated diffraction pattern for the Pnma space group and the satellite peaks agree with a q vector of about 0.135 (5)c*, which subtly decreases to q = 0.125 (5)c* by 58 (3) K. From 58 (3) K a slow transition occurs over a 14 (3) K temperature range [Fig. S7(c)]. During the transition, the reflections reduce in intensity and are distributed over a larger pixel area. By 44 (3) K, the reflections are again sharp intensities. The reflections no longer have satellite peaks, suggesting this is a non-modulated structure, and twinning can be observed by the appearance of a second Bragg reflection close in proximity to the main reflection [Fig. S7(d)]. The reflections fit the monoclinic space group P21/n, like the low-temperature phase of the pure cobalt formate compound. At 18 (3) K, certain reflections increase in intensity, indicating the onset of long-range magnetic ordering, which is in agreement with the ordering temperature determined by the magnetometry measurements (TC = 19.7 (5) K). Since the magnetic reflections only appear as additional intensity to nuclear reflections, it likely has a propagation vector of k = (0,0,0).

2.4. Monochromatic neutron diffraction

The Laue diffraction data show that the Co-rich and Ni-rich solid solutions follow structural phase transitions similar to that of the end-member methyl­ammonium formates. However, the evolution of the Co50Ni50 (compound 2) structure did not strictly follow the trend for either the Co or the Ni analogue, encouraging a further neutron diffraction experiment to explain the observed behaviour.

A single-crystal neutron diffraction experiment was carried out using the D19 diffractometer (ILL), using the same crystal that was used on the CYCLOPS and D9 diffractometers (Geers et al., 2021[Geers, M., Cañadillas-Delgado, L., Matthew, C. & Fabelo, O. (2021). Institut Laue-Langevin (ILL). https://doi.ill.fr/10.5291/ILL-DATA.5-41-1157.]). Data were collected at 2 and 10 K intervals between 30 and 100 K. The orientation matrix was obtained for each dataset to identify the temperature regimes for each phase. As a result, longer data acquisitions were made at 30 and 70 K. Refinements were carried out at 70, 30 and 2 K to determine the nuclear and magnetic structures of each phase. For the following refinements, the previously calculated metal ratio for this crystal was used (0.526:0.474, Co:Ni) and were fixed during the refinements. A summary of the experimental and crystallographic data can be consulted in Table 1[link].

Table 1
Experimental and crystallographic data for compounds 13, measured on D9 and D19 neutron diffractometers refined with the JANA2020 software (Petříček et al., 2023[Petříček, V., Palatinus, L. & Plášil, J. (2023). Z. Kristallogr. Cryst. Mater. 238, 271-282.])

All hydrogen atom parameters were refined for all compounds. RT: room temperature.

Compound 1 2 2 2 2 3
Chemical formula C4H9CoxNi1−xNO6
Refined x 0.297 (9) 0.526 (8) 0.526 (8) 0.526 (8) 0.526 (8) 0.765 (2)
Mr 225.9 225.9 225.9 225.9 225.9 226.0
Z 4 4 4 4 4 4
Diffractometer D9 D9 D19 D19 D19 D9
Temperature (K) RT RT 70 30 2 RT
Space group Pnma Pnma Pnma(00γ)0s0 Pnma(00γ)0s0 Pnma′(00γ)0s0 Pnma
a (Å) 8.358 (2) 8.3506 (4) 8.2052 (2) 8.2003 (2) 8.2010 (3) 8.372 (2)
b (Å) 11.637 (3) 11.6556 (8) 11.5759 (3) 11.5737 (3) 11.5747 (8) 11.705 (4)
c (Å) 8.069 (2) 8.0831 (4) 8.1141 (2) 8.1133 (2) 8.1144 (3) 8.095 (2)
V3) 784.8 (3) 786.74 (8) 770.70 (3) 770.02 (3) 770.25 (7) 793.2 (4)
Wavevectors q = 0.1429 (2)c* q = 0.1249 (2)c* q = 0.1249 (2)c*
ρcalc (mg m−3) 1.9118 1.9075 1.9472 1.9489 1.9483 1.8925
λ (Å) 0.8348 0.8359 1.45567 1.45567 1.45567 0.8359
μ (mm−1) 0.005 0.006 0.011 0.011 0.011 0.008
R1, I > 3σ(I) (all) 0.0354 (0.0574) 0.0361 (0.0611) 0.0601 (0.0762) 0.1189 (0.1315) 0.1217 (0.1343) 0.0636 (0.1109)
wR2, I > 3σ(I) (all) 0.1048 (0.1067) 0.0531 (0.0645) 0.2185 (0.2321) 0.1899 (0.2034) 0.1802 (0.1901) 0.1235 (0.1525)
No. of parameters 107 107 164 449 452 107
Independent reflections 737 1178 3291 3346 3346 528
No. of main reflections 682 694 694
No. of first-order satellite reflections 1230 1250 1250
No. of second-order satellite reflections 1379 1402 1402

At 96 (3) K, compound 2 undergoes a phase transition from the non-modulated, orthorhombic space group Pnma to a modulated structure. Integration of the data at 70 K found that the compound adopts the modulated superspace group Pnma(00γ)0s0 with a modulation vector q = 0.1429 (2)c*.

Refinements of the amplitude displacements for the atoms at 70 K reveal that the site displacement is largest along the b direction. The modulation for each atom was refined independently to find the displacements. For the metal site, the displacement is described by a sine term only (restricted by symmetry, Table 2[link]), with a maximum displacement from its average position of 0.235 (3) Å in the b direction (Fig. S8). Asynchronous modulations of the atoms result in the modulation of the bond lengths; however, these variations are of two orders of magnitude smaller than the displacements experienced for the atoms.

Table 2
Amplitude displacements for the sine term of the first-order harmonics in the Fourier series of the metal site for compound 2

  70 K 30 K 2 K
x 0.00216 (13) 0.00283 (19) 0.00235 (19)
y 0.02033 (15) 0.0322 (2) 0.0335 (2)
z 0.00009 (14) 0.00020 (19) 0.0001 (2)

The hydrogen bond interactions between the donor N—H methyl­ammonium and acceptor O atoms vary in distance as the structure modulates. The H2⋯O2 interactions [atoms labelled as in Fig. S2(d)] vary in the range from 1.807 (3) to 1.830 (3) Å, indicating that both atoms preserve an appropriate distance to maintain hydrogen bonding in all regions of the crystal. The H1⋯O3 and H1⋯O3a distances vary between 2.028 (3) and 2.265 (3) Å. This variation of distances gives rise to flip-flop behaviour, so that in some regions of the crystal a possible hydrogen bond is established with O3, in other regions a minimum distance is established with O3a and in other regions the distances to O3 and O3a are sufficiently long to dismiss the hydrogen bond.

Decreasing in temperature, a second phase transition is observed between 40 and 30 K. This is slightly lower than the transition observed in the Laue diffraction data at 59 (3) K. This discrepancy in the transition temperature is potentially the result of the temperature continually increasing as a function of time for the Laue diffraction measurements, whereas during these data collections the sample was allocated time to stabilize at each temperature point before starting the data collection.

At 30 K, compound 2 presents a crystal structure refined in the superspace group Pnma(00γ)0s0, with a modulation vector q = 0.1249 (2)c*. Although new satellite reflections appeared in the Laue measurement below 59 (3) K, monochromatic measurements revealed that all the satellite reflections in this phase are first and second order, like in the previous measurement at 70 K. This contrasts with the measurement of the pure Co compound where third-order satellites were visible below 90 K, i.e. the temperature corresponding to the change of the wavevector from q = 0.1430 (2)c* to q = 0.1247 (2)c*. The lack of third-order satellites is likely due to compound 2 being a solid solution which could tend to reduces homogeneity and the overall crystallinity of the sample. Like in the previous described phase, the metal site positions modulate with the largest contribution along the b direction (Table 2[link]). This results in a maximum displacement along the b axis from its average position of 0.373 (3) Å (Fig. S8).

The M—O bond lengths exhibit larger distortions from the average value at 30 K compared with the 70 K phase. This is particularly significant for M—O1 and M—O3 (Table S2 of the supporting information). M—O3 coordinate to the metal sites along the b direction, with a maximum deviation from the average bond length of 0.069 (5) Å. The M—O1 bonds are located in the ab plane with a maximum bond length variation of 0.060 (3) Å. The difference in maximum bond length for M–O2 compared with its average value is an order of magnitude smaller, 0.007 (3) Å. The modulated distance H2⋯O2 ranges from 1.784 (4) to 1.863 (3) Å, indicating that the interaction is present throughout the crystal. The H1⋯O3 and H1⋯O3a modulations alternate, resulting in minimum and maximum distances at different points in the structure, as in the previous phase [Fig. S9(b)].

On further cooling to 2 K, additional reflections were observed, indicating the onset of magnetic ordering. The presence of the satellite reflections implies that the structure remains in a modulated phase. However, initially it was unclear if the modulation arises from only the nuclear structure (improper incommensurate magnetic structure) or from a combination of the nuclear and magnetic structure (proper incommensurate magnetic structure). Refinements were carried out both where the Fourier components for the magnetic moments were refined and where the modulations were fixed to zero for the moments. As equivalent refinement statistics were obtained for both models, and there was no evidence of additional intensities in the satellite reflections, but instead only an increase in intensities of the main reflections, it was concluded the structure adopts an improper modulated magnetic structure.

From indexing the magnetic Bragg reflections, the propagation vector was determined to be k = (0,0,0). Compound 2 orders with the magnetic superspace group Pn′ma′(00γ)0s0 with q = 0.1249 (2)c*. This model allows for a weak ferromagnetic arrangement of the moment, in agreement with the susceptibility data. The moment was fixed to have a magnitude of 2.50 (2) μB, an average of high-spin Co2+ and Ni2+ moments. Each nearest neighbour, through M—OCO—M superexchange pathways, has weak ferromagnetic correlations, caused by a canting of the moments along the b axis at an angle of ca 104° (0.6 (2) μB) with respect to this axis (Fig. 4[link]). Since the magnetic component of the structure is non-modulated, the orientation and size of the moment does not change throughout the structure. The nuclear component, however, remains modulated. The metal site modulates and, accordingly, the position of the moment is displaced from the average structure, however, the magnitude and direction of the moments are not varied. The greatest displacement of the atom sites is along the b axis (Table 2[link]), with a maximum displacement of 0.388 (6) Å (Fig. S8, blue line).

[Figure 4]
Figure 4
Magnetic structure of compound 2 at 2 K measured with the D19 diffractometer (ILL). (a) The position of the metal sites and the magnetic moments are represented in a supercell which is 10 times larger than the average unit cell to include at least a full modulation period. (b) Average magnetic unit cell, showing the ordering of the moments without the modulation of the atom sites. The [M(HCOO)3] framework is represented as a wireframe (pink lines) and the methyl­ammonium cations have been removed for clarity. The moments are tilted, with an uncompensated moment along the b axis.

The length of the c axis, as well as the unit-cell volume in the modulated phases, is 7 and 8 times larger than in the commensurate orthorhombic phase (Pnma phase). In these cases, a refinement in a non-modulated phase is possible, however the number of parameters becomes too large, so that the number of measured reflections is not sufficient and the refinement becomes unstable. This has already been tested in the pure Co compound (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]), where it is observed that the space group would become P212121, with a number of atoms in the asymmetric unit equal to 147, compared with the 14 atoms of the asymmetric unit in the supergroup.

3. Discussion

The three solid solutions of [CH3NH3]CoxNi1−x(HCOO)3, x = 0.25 (1), x = 0.50 (2) and x = 0.75 (3), show intermediate behaviours of their structural evolutions and magnetic properties compared with their two end members [CH3NH3]­Co(HCOO)3 and [CH3NH3]Ni(HCOO)3. The Ni-rich compound 1 undergoes one non-modulated to modulated phase transition, which remains until 2 K. This behaviour follows the transitions observed by the Ni analogue. On the other hand, compound 3 exhibits structural phase transitions similar to that of the Co analogue, transitioning through modulated phases before adopting a twinned non-modulated structure by 44 (3) K (Fig. 5[link]). The wavevector of the modulated phase just below 98 (3) K, q = 0.135 (5)c* corresponds to an incommensurate modulated structure, rather than near commensurate, as in the rest of compounds. It presents smooth phase transitions in wide ranges of temperatures, together with a distribution of the reflections over a large pixel area in the Laue measurements that would imply the presence of several domains in the sample. The coexistence of phases appears recurrently in all compounds of this family suggesting that the small energy barrier between phases could be easily overcome by external stimuli such as external pressure. Recently, the effect of external pressure on the parent compound [CH3NH3]Co(HCOO)3 has been studied using high-pressure powder X-ray diffraction and Raman spectroscopy (Zhou et al., 2023[Zhou, H., Ding, H., Gao, X., Shen, Z., Zhai, K., Wang, B., Mu, C., Wen, F., Xiang, J., Xue, T., Shu, Y., Wang, L. & Liu, Z. (2023). Phys. Chem. Chem. Phys. 25, 32863-32867.]). The increase in pressure at room temperature gives rise to a phase transition from the ortho­rhombic Pnma to a monoclinic phase, at approximately 6.13 GPa. This study indicates that high pressure can profoundly alter the crystal structure and magnetic properties of these compounds, implying that this external stimulus can also serve to control also the phase transition from the modulate structure at low temperature.

[Figure 5]
Figure 5
Summary of the structural and magnetic temperature-dependent phase transitions in single-crystal samples of [CH3NH3]CoxNi1−x(HCOO)3 with x = 0, x = 0.25 (1), x = 0.5 (2), x = 0.75 (3) and x = 1. For compounds 1 and 3, the transition temperatures were obtained from neutron Laue diffraction measurements, and from monochromatic neutron diffraction measurements for compound 2. The temperature of the magnetic order (phases represented in blue) are obtained from the magnetometry data.

The structural behaviour of 2 exhibits similarities to both the Co and the Ni parent compounds, yet the series of phase transitions do not follow either compound directly. The first two phase transitions, between the non-modulated phase and a modulated phase with q = 0.1429 (2)c*, followed by an isomorphous phase transition to a structure with q = 0.1249 (2)c*, resemble that of the Co analogue, although occurring at lower temperatures. Compared with the Co analogue, which undergoes a transition to a twinned non-modulated monoclinic structure that is retained with the onset of magnetic ordering, compound 2 does not exhibit a low-temperature non-modulated phase. It magnetically orders in the superspace group Pnma′(00γ)0s0 with q = 0.1249 (2)c* and k = (0,0,0). The magnetic symmetry is similar to that of the Ni analogue, although with a smaller modulation vector and only the nuclear structure that contributes to the modulations, the magnetic ordering is non-modulated.

Note that Laue measurements reveal a significant increase in the temperature range at which modulated structures manifest in solid solution compounds, in contrast to pure Ni and Co compounds. Specifically, although the temperature range spans 82 and 50 K for pure Ni and Co compounds, respectively, compounds 1, 2 and 3 exhibit an extended temperature range reaching approximately 83, 94 and 54 K, respectively. This suggests that doping the samples increases frustration in the structure, leading to the stabilization of modulated structures.

From the low-temperature monochromatic neutron diffraction data, it can be extracted that the mechanism inducing the modulated phase transitions in 2 is the competition of the hydrogen bonding interactions, akin to its parent compounds. Although hydrogen bonding might not be essential in halide perovskites, research demonstrates that it is approximately three times more robust in formate perovskites (Svane et al., 2017[Svane, K. L., Forse, A. C., Grey, C. P., Kieslich, G., Cheetham, A. K., Walsh, A. & Butler, K. T. (2017). J. Phys. Chem. Lett. 8, 6154-6159.]). The H2⋯O2 distance remains at values close to its average value, with only small deviations of up to ±0.040 (4) Å. H1⋯O3, which denotes the hydrogen bonding between the formate oxygens along the b axis, shows alternating distances between H1⋯O3 and H1⋯O3a. There are certain zones in the structure where the H1⋯O3 atoms have a shorter separation, whereas at other points, H1⋯O3a has the shorter contact. This trend is observed at all three temperatures, driving the modulated phases. Compared with the parent compounds, there is no clear trend between the changes in the hydrogen bond distances and either the modulated structure that is adopted, or the composition of the compound [Fig. 6[link](a)].

[Figure 6]
Figure 6
Summary of the (a) H1⋯O3 bond distances and (b) metal displacement along b axis for [CH3NH3]Co(HCOO)3 at 106 (blue) and 86 K (red) (dash lines) (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]), [CH3NH3]Ni(HCOO)3 at 40 K (blue dotted lines) (Cañadillas-Delgado et al., 2020[Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896-17905.]) and compound 2 at 70 (blue) and 30 K (red) (solid lines). Red lines highlight the structures with the approximate wavevector q = 0.124c* and the blue lines for the approximate wavevector q = 0.143c*.

The modulations are triggered by the hydrogen bond competition; however, the changes in the modulation vector can be observed by the resultant magnitude of displacement of the atom sites from the average structure. This can be followed through the y amplitude displacements of the metal site [Fig. 6[link](b)]. There is a division between displacements observed for the shorter modulation length (q ≃ 0.143c*, blue lines) and the atom displacements observed for the larger modulation length (q ≃ 0.124c*, red lines). This is more quantitatively conveyed in amplitude displacements for the sine term of the first-order harmonics in the Fourier series along y for the metal atoms (Table 3[link]). At 70 K, at which temperature 2 has the modulation vector q = 0.1429 (2)c*, y = 0.02033 (15), which is similar to the displacement observed for Co, y = 0.0229 (106 K), and Ni analogues, y = 0.02274 (40 K) (Cañadillas-Delgado et al., 2019, 2020[Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896-17905.]). The phase transition to the longer modulation length [q = 0.1249 (2)c*] coincides with increasing amplitude displacements in the metal site: for 2 y = 0.0322 (2) (30 K), compared with the Co analogue y = 0.0322 (5) (86 K). It is proposed that the Co analogue undergoes its final structural transition to a monoclinic non-modulated phase as the continual increases in the amplitude displacements with temperature eventually result in a division into two non-modulated domains (Canadillas-Delgado et al., 2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]). It is possible that the shorter Ni—O bond lengths limit the atom displacement, preventing larger atomic displacement values from being reached. The M—O bond distances at 30 K for 2 are intermediate of the Co—O and Ni—O values, as expected for a solid solution (Table 4[link]) (Lee et al., 2016[Lee, D., Williams, D., Vogel, S., Proffen, T., Thompson, J., Daemen, L. & Park, S. (2016). Curr. Appl. Phys. 16, 1100-1104.]; Shanmukaraj & Murugan, 2004[Shanmukaraj, D. & Murugan, R. (2004). Ionics, 10, 88-92.]). It is likely that this factor aids in dictating and limiting the phases accessible for each compound.

Table 3
Amplitude displacements along y of the metal site for [CH3NH3]Co(HCOO)3, compound 2 and [CH3NH3]Ni(HCOO)3 for different modulation vectors

Compound q y T (K) q y T (K)
[CH3NH3]Co(HCOO)3 0.1430 (2) 0.0229 (4) 106 0.1247 (2) 0.0322 (5) 86
2 0.1429 (2) 0.02033 (15) 70 0.1249 (2) 0.0322 (2) 30
[CH3NH3]Ni(HCOO)3 0.1426 (2) 0.02274 (11) 40      
†Values for Co and Ni compounds obtained from Canadillas-Delgado et al. (2019[Canadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodriguez-Velamazan, J. A. & Rodriguez-Carvajal, J. (2019). IUCrJ, 6, 105-115.]) and Cañadillas-Delgado et al. (2020[Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896-17905.]), respectively.

Table 4
Average bond length comparison of the metal environment for [CH3NH3]Co(HCOO)3, compound 2 and [CH3NH3]Ni(HCOO)3 at 45, 30 and 40 K, respectively

Compound M—O1 (Å) M—O2 (Å) M—O3 (Å)
[CH3NH3]Co(HCOO)3 2.083 (3) 2.101 (3) 2.090 (3)
2 2.070 (2) 2.087 (2) 2.078 (4)
[CH3NH3]Ni(HCOO)3 2.0555 (19) 2.069 (2) 2.059 (4)
†Values for Co and Ni compounds obtained from Mazzuca et al. (2018[Mazzuca, L., Cañadillas-Delgado, L., Fabelo, O., Rodríguez-Velamazán, J. A., Luzón, J., Vallcorba, O., Simonet, V., Colin, C. V. & Rodríguez-Carvajal, J. (2018). Chem. A Eur. J. 24, 388-399.]) and Cañadillas-Delgado et al. (2020[Cañadillas-Delgado, L., Mazzuca, L., Fabelo, O., Rodríguez-Carvajal, J. & Petricek, V. (2020). Inorg. Chem. 59, 17896-17905.]), respectively.

The bulk magnetic properties of 1, 2 and 3 exhibit a continuous linear trend between the Ni and Co end members. This includes a decrease in the ordering temperature and an increase in the Curie constant and effective magnetic moment as the Co content decreases (Fig. 7[link] and Table S1). Cobalt–nickel solid solutions of molecular frameworks, such as dicyanamides (Lee et al., 2016[Lee, D., Williams, D., Vogel, S., Proffen, T., Thompson, J., Daemen, L. & Park, S. (2016). Curr. Appl. Phys. 16, 1100-1104.]) and hypophosphites (Marcos et al., 1993[Marcos, M. D., Amoros, P., Sapina, F., Beltran-Porter, A., Martinez-Manez, R. & Attfield, J. P. (1993). Inorg. Chem. 32, 5044-5052.]), report similar trends, with the ordering temperatures increasing almost linearly towards the Ni parent compound. These are rationalized by the strengthening of superexchange interactions as a result of decreasing M—O bond lengths with increasing Ni content (Lee et al., 2016[Lee, D., Williams, D., Vogel, S., Proffen, T., Thompson, J., Daemen, L. & Park, S. (2016). Curr. Appl. Phys. 16, 1100-1104.]). It is plausible that this can explain the magnetic properties observed for these formate compounds as well, where the bond lengths for 2 follow this trend (Table 4[link]). It is possible, however, to observe the strength of the antiferromagnetic correlations in the isothermal magnetization measurements. The degree of saturation at 5.00 (1) T (M5T/Msat.) decreases from 0.24 for 3, to 0.17 for 2 and 0.14 for 1. The decrease in the extent of saturation suggests that, by increasing the Ni content, the antiferromagnetic correlations are strengthened.

[Figure 7]
Figure 7
Summary of magnetometry values obtained from susceptibility measurements of [CH3NH3]CoxNi1−x(HCOO)3 (x = 0, 0.25, 0.50, 0.75 and 1). (a) Magnetic ordering temperatures, TC. (b) Curie constant, C, extracted from the Curie–Weiss fit in the range 150–300 K for the solid solutions and in the ranges 20–300 and 50–300 K for pure Co and pure Ni compounds, respectively. (c) Effective magnetic moment from the Curie–Weiss fit, μeff. Values for x = 0 and x = 1 are from their reported values (Pato-Doldán et al., 2016[Pato-Doldán, B., Gómez-Aguirre, L. C., Hansen, A. P., Mira, J., Castro-García, S., Sánchez-Andújar, M., Señarís-Rodríguez, M. A., Zapf, V. S. & Singleton, J. (2016). J. Mater. Chem. C. 4, 11164-11172.]; Gómez-Aguirre et al., 2016[Gómez-Aguirre, L. C., Pato-Doldán, B., Mira, J., Castro-García, S., Señarís-Rodríguez, M. A., Sánchez-Andújar, M., Singleton, J. & Zapf, V. S. (2016). J. Am. Chem. Soc. 138, 1122-1125.]). The dashed lines can be used as a guide for the eye between end members.

Both Ni2+ and Co2+ ions have large orbital contributions to the magnetic moment, due to the second-order spin–orbit coupling for Ni2+ in an 3A term, and the unquenched orbital moment in the 4T term of Co2+. As these orbital components do not follow the classical Curie–Weiss dependence on temperature, θCW varied greatly with the temperature range used to perform the fit for all these formate compounds.

Compound 2 magnetically orders at TC = 22.5 (7) K in the magnetic superspace group Pn′ma′(00γ)0s0 with q = 0.1249 (2)c*. The moments show weak ferromagnetic ordering, with the uncompensated moment along the b axis. This ordering is broadly comparable to both the Co and the Ni end members, which both present weak ferromagnetic superexchange with the nearest neighbours. Compound 2 orders in the same superspace group as the Ni analogue, although with a smaller modulation vector [q = 0.1426 (2)c* for [CH3NH3]­Ni(HCOO)3 compound]. Unlike the magnetic structure of the Ni compound, 2 adopts an improper modulated magnetic structure. It has been reported that by applying a small external magnetic field, approximately 0.05 T, [CH3NH3]­Ni(HCOO)3 undergoes a transition to an improper incommensurate magnetic phase with collinear moments (Pato-Doldán et al., 2023[Pato-Doldán, B., Cañadillas-Delgado, L., Gómez-Aguirre, L. C., Señarís-Rodríguez, M. A., Sánchez-Andújar, M., Fabelo, O. & Mira, J. (2023). J. Phys. Chem. C, 127, 3330-3338.]). The activation of any proper magnetic modulations in the structure may be suppressed in 2 by the weaker superexchange pathways resulting from coupling of the Co ions or the modulation of the M—O—C bond angles, which might have a similar effect to the small external magnetic field in the Ni analogue.

4. Conclusions

Three solid solutions of [CH3NH3]CoxNi1−x(HCOO)3, x = 0.25 (1), x = 0.50 (2) and x = 0.75 (3), have been synthesized and their nuclear structures and magnetic properties identified through single-crystal neutron diffraction and magnetization measurements. Magnetometry data reveal that their bulk magnetic properties exhibit a linear continuum between the Ni and Co end members. The Laue neutron diffraction data permitted a practical method to track the structural behaviour of the compounds and identify the temperature regions of the low-temperature modulated phases, with good estimation of the wavevectors.

Monochromatic neutron diffraction data reflect that, similar to the Ni and Co end members, the modulated phases for 2 are induced by the competing hydrogen bond interactions. However, the structural evolution does not follow the same phases as either parent compound. This is likely a result of the differing Co—O and Ni—O bond lengths which dictate the limits of the atom amplitude displacement modulations. A direct comparison with the pure Co compound reveals that the introduction of a solid solution directly affects the crystalline quality of the sample, as seen by the absence of third-order satellite reflections after the phase transition corresponding to the change of the wavevector from q = 0.1429 (2)c* to q = 0.1249 (2)c*.

These solid solutions have shown that, through doping of the metal site, the bulk magnetic properties – in particular the magnetic ordering temperature – of [CH3NH3]­CoxNi1−x(HCOO)3 can be tuned through the metal ratios. In addition, both the transition temperatures and the nature of the nuclear phase transitions can be manipulated via the Ni content. Note that our results advocate that doping the samples increases frustration in the structure, leading to the stabilization of modulated structures over a broader temperature range. Moreover, our findings indicate that the energy barrier separating distinct structural phases is minimal, implying the feasibility of transitioning between them via external stimuli, such as pressure.

The study of modulated structures constitutes an important step in the better understanding of the structure–property relationship of CPs. Despite the sparsity of reported aperiodic molecular frameworks, with understanding of the interactions, this study presents the opportunity to consciously design molecular compounds with the propensity for modulated phases and finer control of their properties.

5. Related literature

The following references are cited in the supporting information: Bain & Berry (2008[Bain, G. A. & Berry, J. F. (2008). J. Chem. Educ. 85, 532.]); Duisenberg (1992[Duisenberg, A. J. M. (1992). J. Appl. Cryst. 25, 92-96.]); Katcho et al. (2021[Katcho, N. A., Cañadillas-Delgado, L., Fabelo, O., Fernández-Díaz, M. T. & Rodríguez-Carvajal, J. (2021). Crystals, 11, 897.]); Matthewman et al. (1982[Matthewman, J. C., Thompson, P. & Brown, P. J. (1982). J. Appl. Cryst. 15, 167-173.]); McIntyre & Stansfield (1988[McIntyre, G. J. & Stansfield, R. F. D. (1988). Acta Cryst. A44, 257-262.]); Ouladdiaf et al. (2011[Ouladdiaf, B., Archer, J., Allibon, J. R., Decarpentrie, P., Lemée-Cailleau, M.-H., Rodríguez-Carvajal, J., Hewat, A. W., York, S., Brau, D. & McIntyre, G. J. (2011). J. Appl. Cryst. 44, 392-397.]); Palatinus & Chapuis (2007[Palatinus, L. & Chapuis, G. (2007). J. Appl. Cryst. 40, 786-790.]); Petříček et al. (2014[Petříček, V., Dušek, M. & Palatinus, L. (2014). Z. Kristallogr. Cryst. Mater. 5, 345-352.]); Rodríguez-Carvajal et al. (2018[Rodríguez-Carvajal, J., Fuentes-Montero, L. & Cermak, P. (2018). ESMERALDA. https://www.ill.eu/users/support-labs-infrastructure/software-scientific-tools/esmeralda.]); Sheldrick, G. M. (2015a[Sheldrick, G. M. (2015a). Acta Cryst. A71, 3-8.],b[Sheldrick, G. M. (2015b). Acta Cryst. C71, 3-8.]); Wilkinson et al. (1988[Wilkinson, C., Khamis, H. W., Stansfield, R. F. D. & McIntyre, G. J. (1988). J. Appl. Cryst. 21, 471-478.]).

Supporting information


Computing details top

(I_comp2_70K) top
Crystal data top
C4H9Co0.526NNi0.474O6F(000) = 173.212
Mr = 225.9Dx = 1.947 Mg m3
Orthorhombic, Pnma(00γ)0s0†Neutron radiation, λ = 1.45567 Å
q = 0.142900c*Cell parameters from 102 reflections
a = 8.2052 (2) Åθ = 8.9–61.3°
b = 11.5759 (3) ŵ = 0.01 mm1
c = 8.1141 (2) ÅT = 70 K
V = 770.70 (3) Å3Prism, dark-green
Z = 42.3 × 1.6 × 1.2 × 1.7 (radius) mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1+1/2, −x2, x3+1/2, x4+1/2; (3) −x1, x2+1/2, −x3, −x4+1/2; (4) x1+1/2, −x2+1/2, −x3+1/2, −x4; (5) −x1, −x2, −x3, −x4; (6) x1+1/2, x2, −x3+1/2, −x4+1/2; (7) x1, −x2+1/2, x3, x4+1/2; (8) −x1+1/2, x2+1/2, x3+1/2, x4.

Data collection top
D19 position-sensitive detector
diffractometer
2152 reflections with I > 3σ(I)
Radiation source: neutron source, ILL High Flux Reactor, beam H11Rint = 0.079
Copper 220 monochromatorθmax = 60.9°, θmin = 5.2°
Detector resolution: 1.56 mm vert. 2.5 mm hor. pixels mm-1h = 99
ω step–scansk = 122
14542 measured reflectionsl = 109
3291 independent reflections
Refinement top
Refinement on F2All H-atom parameters refined
R[F2 > 2σ(F2)] = 0.060Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo2) + (0.08P)2]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.232(Δ/σ)max = 0.006
S = 2.05Δρmax = 0.77 e Å3
3291 reflectionsΔρmin = 1.21 e Å3
164 parametersExtinction correction: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)
0 restraintsExtinction coefficient: 17 (3)
9 constraints
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Co10.50.510.0214 (5)0.526
Ni10.50.510.0214 (5)0.474
N10.58533 (11)0.750.52982 (12)0.0260 (4)
C10.41295 (16)0.750.47604 (18)0.0298 (5)
C20.27926 (11)0.47072 (8)0.72152 (11)0.0239 (4)
C30.50915 (15)0.750.94501 (15)0.0240 (5)
O10.40360 (12)0.42963 (9)0.78675 (12)0.0249 (4)
O20.22589 (12)0.44111 (8)0.58178 (12)0.0242 (4)
O30.52462 (12)0.65490 (9)0.87303 (10)0.0241 (4)
H10.5870 (3)0.750.6560 (4)0.0446 (11)
H20.6468 (2)0.82176 (18)0.4866 (2)0.0379 (7)
H30.4091 (4)0.750.3425 (4)0.0532 (12)
H40.3534 (3)0.8254 (2)0.5211 (3)0.0555 (9)
H50.2097 (3)0.5364 (2)0.7880 (3)0.0478 (8)
H60.4821 (5)0.751.0787 (4)0.0453 (11)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.0192 (8)0.0263 (9)0.0188 (7)0.0005 (4)0.0012 (5)0.0009 (4)
Ni10.0192 (8)0.0263 (9)0.0188 (7)0.0005 (4)0.0012 (5)0.0009 (4)
N10.0229 (6)0.0320 (7)0.0229 (7)00.0021 (4)0
C10.0230 (8)0.0386 (10)0.0279 (9)00.0008 (5)0
C20.0194 (6)0.0310 (7)0.0212 (6)0.0016 (3)0.0021 (3)0.0004 (4)
C30.0202 (7)0.0290 (9)0.0226 (8)00.0000 (5)0
O10.0205 (6)0.0325 (7)0.0217 (6)0.0024 (4)0.0020 (3)0.0007 (4)
O20.0207 (6)0.0306 (7)0.0212 (6)0.0013 (4)0.0021 (3)0.0007 (4)
O30.0246 (6)0.0275 (7)0.0202 (6)0.0005 (4)0.0005 (3)0.0013 (4)
H10.0373 (16)0.070 (2)0.0264 (18)00.0007 (11)0
H20.0329 (11)0.0445 (15)0.0362 (10)0.0058 (9)0.0021 (8)0.0024 (9)
H30.0414 (18)0.080 (2)0.038 (2)00.0040 (13)0
H40.0398 (14)0.0599 (17)0.0670 (15)0.0109 (11)0.0010 (11)0.0109 (12)
H50.0454 (13)0.0604 (14)0.0375 (13)0.0210 (10)0.0114 (10)0.0137 (10)
H60.064 (2)0.0431 (19)0.0294 (15)00.0042 (12)0
Geometric parameters (Å, º) top
AverageMinimumMaximum
Co1—Ni1000
Co1—O12.0696 (16)2.0658 (19)2.0736 (19)
Co1—O1i2.0697 (16)2.0658 (19)2.0736 (19)
Co1—O2ii2.0835 (15)2.0793 (18)2.0879 (18)
Co1—O2iii2.0835 (15)2.0793 (18)2.0879 (18)
Co1—O32.0779 (18)2.075 (2)2.081 (2)
Co1—O3i2.0778 (18)2.075 (2)2.081 (2)
Ni1—O12.0696 (16)2.0658 (19)2.0736 (19)
Ni1—O1i2.0697 (16)2.0658 (19)2.0736 (19)
Ni1—O2ii2.0835 (15)2.0793 (18)2.0879 (18)
Ni1—O2iii2.0835 (15)2.0793 (18)2.0879 (18)
Ni1—O32.0779 (18)2.075 (2)2.081 (2)
Ni1—O3i2.0778 (18)2.075 (2)2.081 (2)
N1—C11.4804 (16)1.4802 (16)1.4806 (16)
N1—H11.025 (3)1.024 (3)1.026 (3)
N1—H21.034 (3)1.029 (3)1.038 (3)
N1—H2iv1.034 (3)1.029 (3)1.038 (3)
C1—H31.085 (4)1.084 (4)1.086 (4)
C1—H41.066 (4)1.061 (4)1.070 (4)
C1—H4iv1.066 (4)1.061 (4)1.070 (4)
C2—O11.2443 (18)1.2435 (18)1.2455 (18)
C2—O21.2630 (18)1.2616 (18)1.2648 (18)
C2—H51.093 (3)1.089 (4)1.097 (4)
C3—O31.253 (2)1.245 (2)1.261 (2)
C3—O3iv1.253 (2)1.245 (2)1.261 (2)
C3—H61.107 (3)1.107 (3)1.107 (3)
C2—N1—H1108.4 (2)108.4 (2)108.4 (2)
C2—N1—H2112.1 (2)111.8 (2)112.4 (2)
C2—N1—H2iv112.1 (2)111.8 (2)112.4 (2)
H1—N1—H2108.6 (3)108.3 (3)109.0 (3)
H1—N1—H2iv108.6 (3)108.3 (3)109.0 (3)
H2—N1—H2iv106.8 (3)106.8 (3)106.8 (3)
O3—C1—O3v123.54 (17)123.53 (17)123.55 (17)
O3—C1—H3118.2 (3)117.0 (3)119.5 (3)
O3v—C1—H3118.2 (3)117.0 (3)119.5 (3)
Co1—O1—Ni1000
Co1—O1—C3121.43 (14)121.14 (13)121.71 (13)
Ni1—O1—C3121.43 (14)121.14 (13)121.71 (13)
N1—C2—H4109.0 (3)109.0 (3)109.0 (3)
N1—C2—H6110.3 (3)110.0 (3)110.6 (3)
N1—C2—H6iv110.3 (3)110.0 (3)110.6 (3)
H4—C2—H6108.7 (4)107.9 (4)109.6 (4)
H4—C2—H6iv108.7 (4)107.9 (4)109.6 (4)
H6—C2—H6iv109.9 (4)109.8 (4)109.9 (4)
O1—Co1—O1vi179.76 (8)179.61 (11)180
O1—Co1—Ni1000
O1—Co1—O2vii93.12 (7)92.86 (6)93.39 (6)
O1—Co1—O2viii86.88 (7)86.65 (6)87.10 (6)
O1—Co1—O392.06 (8)91.68 (6)92.43 (6)
O1—Co1—O3vi87.94 (7)87.51 (7)88.37 (7)
O1vi—Co1—Ni1000
O1vi—Co1—O2vii86.88 (7)86.65 (6)87.10 (6)
O1vi—Co1—O2viii93.12 (7)92.86 (6)93.39 (6)
O1vi—Co1—O387.94 (7)87.51 (7)88.37 (7)
O1vi—Co1—O3vi92.06 (8)91.68 (7)92.43 (7)
Ni1—Co1—O2vii000
Ni1—Co1—O2viii000
Ni1—Co1—O3000
Ni1—Co1—O3vi000
O2vii—Co1—O2viii179.89 (8)179.81 (13)180
O2vii—Co1—O392.20 (7)91.65 (7)92.75 (7)
O2vii—Co1—O3vi87.80 (8)87.32 (6)88.28 (6)
O2viii—Co1—O387.80 (8)87.32 (6)88.28 (6)
O2viii—Co1—O3vi92.20 (7)91.65 (7)92.75 (7)
O3—Co1—O3vi179.72 (7)179.55 (9)180
O1—Ni1—O1vi179.76 (8)179.61 (11)180
O1—Ni1—Co1000
O1—Ni1—O2vii93.12 (7)92.86 (6)93.39 (6)
O1—Ni1—O2viii86.88 (7)86.65 (6)87.10 (6)
O1—Ni1—O392.06 (8)91.68 (6)92.43 (6)
O1—Ni1—O3vi87.94 (7)87.51 (7)88.37 (7)
O1vi—Ni1—Co1000
O1vi—Ni1—O2vii86.88 (7)86.65 (6)87.10 (6)
O1vi—Ni1—O2viii93.12 (7)92.86 (6)93.39 (6)
O1vi—Ni1—O387.94 (7)87.51 (7)88.37 (7)
O1vi—Ni1—O3vi92.06 (8)91.68 (7)92.43 (7)
Co1—Ni1—O2vii000
Co1—Ni1—O2viii000
Co1—Ni1—O3000
Co1—Ni1—O3vi000
O2vii—Ni1—O2viii179.89 (8)179.81 (13)180
O2vii—Ni1—O392.20 (7)91.65 (7)92.75 (7)
O2vii—Ni1—O3vi87.80 (8)87.32 (6)88.28 (6)
O2viii—Ni1—O387.80 (8)87.32 (6)88.28 (6)
O2viii—Ni1—O3vi92.20 (7)91.65 (7)92.75 (7)
O3—Ni1—O3vi179.72 (7)179.55 (9)180
O1—C3—O2124.33 (17)124.10 (16)124.56 (16)
O1—C3—H5118.8 (2)118.6 (2)119.1 (2)
O2—C3—H5116.8 (2)116.6 (2)117.1 (2)
Co1ix—O2—Ni1ix000
Co1ix—O2—C3120.38 (13)119.84 (12)120.94 (12)
Ni1ix—O2—C3120.38 (13)119.84 (12)120.94 (12)
C1—O3—Co1121.51 (13)121.18 (12)121.82 (13)
C1—O3—Ni1121.51 (13)121.18 (12)121.82 (13)
Co1—O3—Ni1000
Symmetry codes: (i) x1+1, x2+1, x3+2, x4; (ii) x1+1/2, x2+1, x3+1/2, x4+1/2; (iii) x1+1/2, x2, x3+3/2, x4+1/2; (iv) x1, x2+3/2, x3, x4+1/2; (v) x1, x2+1/2, x3, x4+1/2; (vi) x1+1, x2+1, x3+1, x4; (vii) x1+3/2, x2+1, x3+1/2, x4+1/2; (viii) x11/2, x2, x3+1/2, x4+1/2; (ix) x1+3/2, x2+1, x31/2, x4+1/2.
Hydrogen-bond geometry () top
D—H···A
N1—H1···C3
N1—H1···O3
N1—H1···O3
N1—H2···C2
N1—H2···O2
C2—H5···O2
C2—H5···O3
C3—H6···O1
C3—H6···O1
(I_comp2_30K) top
Crystal data top
C4H9Co0.526NNi0.474O6F(000) = 173.212
Mr = 225.9Dx = 1.949 Mg m3
Orthorhombic, Pnma(00γ)0s0†Neutron radiation, λ = 1.45567 Å
q = 0.124900c*Cell parameters from 1851 reflections
a = 8.2003 (2) Åθ = 3.4–62.1°
b = 11.5737 (3) ŵ = 0.01 mm1
c = 8.1133 (2) ÅT = 30 K
V = 770.02 (3) Å3Prism, dark-green
Z = 42.3 × 1.6 × 1.2 × 1.7 (radius) mm
† Symmetry operations: (1) x1, x2, x3, x4; (2) −x1+1/2, −x2, x3+1/2, x4+1/2; (3) −x1, x2+1/2, −x3, −x4+1/2; (4) x1+1/2, −x2+1/2, −x3+1/2, −x4; (5) −x1, −x2, −x3, −x4; (6) x1+1/2, x2, −x3+1/2, −x4+1/2; (7) x1, −x2+1/2, x3, x4+1/2; (8) −x1+1/2, x2+1/2, x3+1/2, x4.

Data collection top
D19 position-sensitive detector
diffractometer
2475 reflections with I > 3σ(I)
Radiation source: neutron source, ILL High Flux Reactor, beam H11Rint = 0.133
Copper 220 monochromatorθmax = 65.7°, θmin = 5.3°
Detector resolution: 1.56 mm vert. 2.5 mm hor. pixels mm-1h = 99
ω step–scansk = 122
20806 measured reflectionsl = 99
3346 independent reflections
Refinement top
Refinement on F21 constraints
R[F2 > 2σ(F2)] = 0.119All H-atom parameters refined
wR(F2) = 0.203Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo) + (0.1P)2]
where P = Fo
S = 1.78(Δ/σ)max = 0.003
3346 reflectionsΔρmax = 3.28 e Å3
449 parametersΔρmin = 2.26 e Å3
0 restraints
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Co10.50.510.0180 (8)0.526
Ni10.50.510.0180 (8)0.474
N10.58510 (19)0.750.5297 (2)0.0221 (7)
C10.4116 (3)0.750.4757 (3)0.0249 (9)
C20.27916 (18)0.47074 (13)0.72141 (18)0.0206 (6)
C30.5092 (3)0.750.9450 (2)0.0203 (8)
O10.40336 (19)0.42959 (14)0.7869 (2)0.0214 (7)
O20.22658 (19)0.44111 (13)0.58160 (19)0.0206 (6)
O30.5241 (2)0.65502 (14)0.87315 (17)0.0206 (6)
H10.5888 (6)0.750.6564 (6)0.0404 (17)
H20.6461 (4)0.8213 (3)0.4870 (4)0.0344 (11)
H30.4083 (7)0.750.3413 (6)0.0496 (19)
H40.3522 (4)0.8249 (3)0.5205 (5)0.0494 (14)
H50.2090 (5)0.5360 (3)0.7878 (4)0.0432 (13)
H60.4838 (8)0.751.0782 (7)0.0420 (18)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.0175 (13)0.0241 (15)0.0122 (12)0.0003 (6)0.0006 (8)0.0011 (6)
Ni10.0175 (13)0.0241 (15)0.0122 (12)0.0003 (6)0.0006 (8)0.0011 (6)
N10.0214 (11)0.0280 (12)0.0169 (12)00.0012 (6)0
C10.0184 (14)0.0360 (16)0.0203 (15)00.0013 (8)0
C20.0184 (10)0.0286 (11)0.0148 (10)0.0019 (5)0.0022 (5)0.0005 (5)
C30.0185 (13)0.0267 (14)0.0156 (15)00.0019 (8)0
O10.0183 (11)0.0312 (12)0.0148 (11)0.0022 (5)0.0016 (5)0.0015 (5)
O20.0161 (11)0.0291 (12)0.0165 (11)0.0015 (5)0.0020 (6)0.0007 (5)
O30.0227 (11)0.0252 (11)0.0140 (10)0.0002 (5)0.0005 (6)0.0012 (5)
H10.032 (3)0.072 (3)0.017 (3)00.0019 (16)0
H20.0289 (19)0.046 (2)0.0287 (16)0.0048 (13)0.0010 (12)0.0022 (13)
H30.042 (3)0.084 (4)0.023 (3)00.002 (2)0
H40.032 (2)0.061 (3)0.055 (2)0.0093 (17)0.0007 (16)0.0077 (17)
H50.042 (2)0.053 (2)0.035 (2)0.0178 (15)0.0080 (15)0.0103 (15)
H60.065 (4)0.037 (3)0.023 (3)00.003 (2)0
Bond lengths (Å) top
AverageMinimumMaximum
N1—C21.490 (4)1.476 (4)1.503 (4)
N1—H11.034 (6)1.015 (6)1.053 (6)
N1—H21.027 (8)0.985 (8)1.062 (8)
N1—H2i1.026 (8)0.985 (8)1.062 (8)
C1—O31.251 (5)1.217 (5)1.287 (5)
C1—O3i1.251 (5)1.217 (5)1.287 (5)
C1—H41.103 (6)1.101 (6)1.104 (6)
Co1—Ni1000
Co1—O12.070 (2)2.014 (3)2.130 (3)
Co1—O1ii2.070 (2)2.014 (3)2.130 (3)
Co1—O2iii2.087 (2)2.081 (3)2.094 (3)
Co1—O2iv2.087 (2)2.081 (3)2.094 (3)
Co1—O32.078 (4)2.009 (5)2.138 (5)
Co1—O3ii2.078 (4)2.009 (5)2.138 (5)
Ni1—O12.070 (2)2.014 (3)2.130 (3)
Ni1—O1ii2.070 (2)2.014 (3)2.130 (3)
Ni1—O2iii2.087 (2)2.081 (3)2.094 (3)
Ni1—O2iv2.087 (2)2.081 (3)2.094 (3)
Ni1—O32.078 (4)2.009 (5)2.138 (5)
Ni1—O3ii2.078 (4)2.009 (5)2.138 (5)
O1—C31.244 (3)1.228 (3)1.260 (3)
C2—H31.100 (7)1.071 (7)1.128 (7)
C2—H61.062 (9)1.035 (10)1.104 (10)
C2—H6i1.062 (9)1.035 (10)1.104 (10)
C3—O21.261 (3)1.236 (3)1.287 (3)
C3—H51.092 (6)1.062 (6)1.125 (6)
Symmetry codes: (i) x1, x2+3/2, x3, x4+1/2; (ii) x1+1, x2+1, x3+2, x4; (iii) x1+1/2, x2+1, x3+1/2, x4+1/2; (iv) x1+1/2, x2, x3+3/2, x4+1/2.
Hydrogen-bond geometry () top
D—H···A
N1—H1···C1
N1—H1···O3
N1—H1···O3
N1—H2···C3
N1—H2···O2
C3—H5···O2
C3—H5···O3
(I_comp2_2K) top
Crystal data top
C4H9Co0.526NNi0.474O6F(000) = 173.212
Mr = 225.9Dx = 1.948 Mg m3
Orthorhombic, Pn'ma'(00γ)0s0Neutron radiation, λ = 1.45567 Å
q = -0.124900c*Cell parameters from 1993 reflections
a = 8.2010 (3) Åθ = 3.3–62.2°
b = 11.5747 (8) ŵ = 0.01 mm1
c = 8.1144 (3) ÅT = 2 K
V = 770.25 (7) Å3Prism, dark-green
Z = 42.3 × 1.6 × 1.2 × 1.7 (radius) mm
Data collection top
D19 position-sensitive detector
diffractometer
2523 reflections with I > 3σ(I)
Radiation source: neutron source, ILL High Flux Reactor, beam H11Rint = 0.136
Copper 220 monochromatorθmax = 60.7°, θmin = 5.3°
Detector resolution: 1.56 mm vert. 2.5 mm hor. pixels mm-1h = 99
ω step–scansk = 122
20805 measured reflectionsl = 99
3346 independent reflections
Refinement top
Refinement on F21 constraints
R[F2 > 2σ(F2)] = 0.122All H-atom parameters refined
wR(F2) = 0.190Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo) + (0.08P)2]
where P = Fo
S = 2.04(Δ/σ)max = 0.015
3346 reflectionsΔρmax = 4.38 e Å3
452 parametersΔρmin = 2.75 e Å3
1 restraint
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Co10.50.510.0159 (7)0.526
Ni10.50.510.0159 (7)0.474
N10.5853 (2)0.750.5299 (2)0.0203 (7)
C10.4118 (3)0.750.4756 (3)0.0232 (8)
C20.27933 (18)0.47064 (13)0.72138 (18)0.0191 (6)
C30.5096 (2)0.750.9449 (2)0.0180 (8)
O10.40343 (19)0.42964 (14)0.7869 (2)0.0194 (6)
O20.2263 (2)0.44097 (13)0.5818 (2)0.0193 (6)
O30.5239 (2)0.65484 (15)0.87344 (17)0.0190 (6)
H10.5878 (6)0.750.6560 (6)0.0413 (18)
H20.6460 (4)0.8214 (3)0.4878 (4)0.0332 (11)
H30.4079 (6)0.750.3423 (7)0.0461 (19)
H40.3523 (4)0.8259 (3)0.5213 (6)0.0472 (14)
H50.2098 (5)0.5362 (4)0.7869 (4)0.0408 (12)
H60.4834 (7)0.751.0777 (7)0.0378 (18)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.0153 (12)0.0211 (14)0.0114 (12)0.0024 (6)0.0009 (7)0.0010 (7)
Ni10.0153 (12)0.0211 (14)0.0114 (12)0.0024 (6)0.0009 (7)0.0010 (7)
N10.0182 (11)0.0264 (12)0.0164 (12)00.0012 (6)0
C10.0178 (13)0.0320 (15)0.0198 (15)00.0018 (8)0
C20.0174 (10)0.0273 (11)0.0127 (9)0.0018 (5)0.0019 (6)0.0007 (5)
C30.0157 (13)0.0236 (14)0.0147 (15)00.0022 (8)0
O10.0151 (11)0.0294 (12)0.0137 (10)0.0022 (5)0.0012 (5)0.0015 (5)
O20.0164 (11)0.0264 (11)0.0151 (10)0.0012 (5)0.0012 (6)0.0009 (6)
O30.0199 (10)0.0243 (11)0.0127 (10)0.0010 (6)0.0000 (6)0.0017 (5)
H10.037 (3)0.067 (3)0.019 (3)00.0002 (18)0
H20.0252 (18)0.046 (2)0.0284 (16)0.0055 (13)0.0008 (12)0.0029 (14)
H30.035 (3)0.080 (4)0.023 (3)00.0004 (19)0
H40.030 (2)0.057 (3)0.054 (2)0.0079 (16)0.0009 (17)0.0064 (18)
H50.039 (2)0.053 (2)0.030 (2)0.0185 (15)0.0068 (15)0.0134 (15)
H60.059 (4)0.033 (3)0.022 (3)00.003 (2)0
Geometric parameters (Å, º) top
AverageMinimumMaximum
N1—C21.490 (4)1.477 (4)1.504 (4)
N1—H11.026 (7)1.003 (7)1.049 (7)
N1—H21.025 (9)1.011 (9)1.040 (9)
N1—H21.025 (9)1.011 (9)1.040 (9)
C1—O31.250 (5)1.242 (5)1.265 (5)
C1—O31.250 (5)1.242 (5)1.265 (5)
C1—H41.099 (6)1.099 (6)1.099 (6)
Co1—Ni1000
Co1—O12.069 (2)2.061 (3)2.077 (3)
Co1—O12.069 (2)2.061 (3)2.077 (3)
Co1—O22.086 (2)2.077 (3)2.096 (3)
Co1—O22.086 (2)2.077 (3)2.096 (3)
Co1—O32.075 (5)2.066 (5)2.090 (5)
Co1—O32.075 (5)2.066 (5)2.090 (5)
Ni1—O12.069 (2)2.061 (3)2.077 (3)
Ni1—O12.069 (2)2.061 (3)2.077 (3)
Ni1—O22.086 (2)2.077 (3)2.096 (3)
Ni1—O22.086 (2)2.077 (3)2.096 (3)
Ni1—O32.075 (5)2.066 (5)2.090 (5)
Ni1—O32.075 (5)2.066 (5)2.090 (5)
O1—C31.243 (3)1.239 (3)1.247 (3)
C2—H31.085 (7)1.063 (7)1.106 (7)
C2—H61.074 (10)1.055 (10)1.110 (10)
C2—H61.074 (10)1.055 (10)1.110 (10)
C3—O21.262 (3)1.255 (3)1.268 (3)
C3—H51.088 (6)1.082 (6)1.095 (6)
C2—N1—H1108.4 (4)107.3 (4)109.5 (4)
C2—N1—H2111.4 (5)108.2 (4)115.2 (5)
C2—N1—H2111.4 (5)108.2 (4)115.2 (5)
H1—N1—H2108.9 (6)107.1 (6)110.0 (6)
H1—N1—H2108.9 (6)107.1 (6)110.0 (6)
H2—N1—H2107.7 (6)103.9 (6)111.4 (6)
O3—C1—O3123.5 (3)123.3 (3)123.8 (3)
O3—C1—H4118.2 (4)116.9 (4)119.5 (4)
O3—C1—H4118.2 (4)116.9 (4)119.5 (4)
Ni1—Co1—O1000
Ni1—Co1—O1000
Ni1—Co1—O2000
Ni1—Co1—O2000
Ni1—Co1—O3000
Ni1—Co1—O3000
O1—Co1—O1179.66 (12)179.46 (18)180
O1—Co1—O293.11 (9)92.72 (8)93.52 (8)
O1—Co1—O286.88 (10)86.44 (9)87.32 (9)
O1—Co1—O387.86 (13)87.18 (12)88.59 (12)
O1—Co1—O392.14 (14)91.66 (12)92.95 (12)
O1—Co1—O286.89 (10)86.44 (9)87.32 (9)
O1—Co1—O293.11 (9)92.72 (8)93.52 (8)
O1—Co1—O392.14 (14)91.66 (12)92.95 (12)
O1—Co1—O387.86 (13)87.18 (12)88.59 (12)
O2—Co1—O2179.60 (12)179.37 (18)180
O2—Co1—O387.64 (13)87.14 (12)88.26 (13)
O2—Co1—O392.36 (13)91.88 (13)93.10 (12)
O2—Co1—O392.37 (13)91.88 (13)93.10 (12)
O2—Co1—O387.64 (13)87.14 (12)88.26 (13)
O3—Co1—O3179.73 (15)179.53 (16)180
Co1—Ni1—O1000
Co1—Ni1—O1000
Co1—Ni1—O2000
Co1—Ni1—O2000
Co1—Ni1—O3000
Co1—Ni1—O3000
O1—Ni1—O1179.66 (12)179.46 (18)180
O1—Ni1—O293.11 (9)92.72 (8)93.52 (8)
O1—Ni1—O286.88 (10)86.44 (9)87.32 (9)
O1—Ni1—O387.86 (13)87.18 (12)88.59 (12)
O1—Ni1—O392.14 (14)91.66 (12)92.95 (12)
O1—Ni1—O286.89 (10)86.44 (9)87.32 (9)
O1—Ni1—O293.11 (9)92.72 (8)93.52 (8)
O1—Ni1—O392.14 (14)91.66 (12)92.95 (12)
O1—Ni1—O387.86 (13)87.18 (12)88.59 (12)
O2—Ni1—O2179.60 (12)179.37 (18)180
O2—Ni1—O387.64 (13)87.14 (12)88.26 (13)
O2—Ni1—O392.36 (13)91.88 (13)93.10 (12)
O2—Ni1—O392.37 (13)91.88 (13)93.10 (12)
O2—Ni1—O387.64 (13)87.14 (12)88.26 (13)
O3—Ni1—O3179.73 (15)179.53 (16)180
Co1—O1—Ni1000
Co1—O1—C3121.38 (19)121.11 (19)121.62 (18)
Ni1—O1—C3121.38 (19)121.11 (19)121.62 (18)
N1—C2—H3109.0 (4)107.6 (4)110.4 (5)
N1—C2—H6109.3 (5)108.2 (5)110.6 (5)
N1—C2—H6109.3 (5)108.2 (5)110.6 (5)
H3—C2—H6109.5 (7)106.8 (7)112.4 (7)
H3—C2—H6109.5 (7)106.8 (7)112.4 (7)
H6—C2—H6110.2 (7)108.4 (7)112.0 (7)
O1—C3—O2124.3 (2)123.8 (2)124.8 (2)
O1—C3—H5119.1 (3)118.4 (3)119.8 (3)
O2—C3—H5116.6 (3)116.1 (3)117.1 (3)
Co1—O2—Ni1000
Co1—O2—C3120.23 (18)119.77 (17)120.68 (17)
Ni1—O2—C3120.23 (18)119.77 (17)120.68 (17)
C1—O3—Co1121.5 (2)120.8 (2)122.2 (2)
C1—O3—Ni1121.5 (2)120.8 (2)122.2 (2)
Co1—O3—Ni1000
Hydrogen-bond geometry () top
D—H···A
N1—H1···C1
N1—H1···O3
N1—H1···O3
N1—H2···C3
N1—H2···O2
C1—H4···O1
C1—H4···O1
C3—H5···O2
C3—H5···O3
(I_comp2_RT) top
Crystal data top
C4H9Co0.526NNi0.474O6F(000) = 173.069
Mr = 225.9Dx = 1.908 Mg m3
Orthorhombic, PnmaNeutron radiation, λ = 0.8359 Å
Hall symbol: -P 2ac 2nCell parameters from 366 reflections
a = 8.3506 (4) Åθ = 4.1–33.8°
b = 11.6556 (8) ŵ = 0.01 mm1
c = 8.0831 (4) ÅT = 293 K
V = 786.74 (8) Å3Prism, dark-green
Z = 43.0 × 2.0 × 2.0 × 2.3 (radius) mm
Data collection top
D9 hot-neutron four-circle
diffractometer
849 reflections with I > 3σ(I)
Radiation source: neutron source, ILL High Flux Reactor, beam H3Rint = 0
Copper 220 monochromatorθmax = 36.0°, θmin = 4.1°
Detector resolution: 0.25deg vert. 0.25deg hor. pixels mm-1h = 011
ω step–scansk = 016
1178 measured reflectionsl = 011
1178 independent reflections
Refinement top
Refinement on F6 constraints
R[F2 > 2σ(F2)] = 0.036All H-atom parameters refined
wR(F2) = 0.065Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo) + (0.04P)2]
where P = Fo
S = 1.03(Δ/σ)max = 0.038
1178 reflectionsΔρmax = 0.73 e Å3
107 parametersΔρmin = 0.76 e Å3
0 restraints
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Co10.50.510.0143 (4)0.533 (8)
Ni10.50.510.0143 (4)0.467 (8)
N10.58658 (17)0.750.52925 (17)0.0313 (4)
C10.4177 (3)0.750.4785 (3)0.0453 (7)
C20.27839 (13)0.47142 (10)0.72080 (13)0.0213 (3)
C30.51186 (19)0.750.94710 (19)0.0193 (4)
O10.40190 (16)0.43260 (12)0.78474 (16)0.0240 (3)
O20.22262 (15)0.44015 (12)0.58347 (16)0.0227 (3)
O30.52782 (18)0.65529 (11)0.87558 (16)0.0242 (3)
H10.5934 (7)0.750.6558 (6)0.071 (2)
H20.6476 (4)0.8207 (3)0.4861 (5)0.0502 (9)
H30.4120 (10)0.750.3487 (10)0.112 (5)
H40.3595 (7)0.8234 (6)0.5236 (11)0.114 (3)
H50.2109 (5)0.5365 (4)0.7883 (5)0.0756 (15)
H60.4840 (8)0.751.0783 (5)0.0603 (18)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.0154 (7)0.0145 (7)0.0131 (7)0.0013 (5)0.0001 (5)0.0013 (5)
Ni10.0154 (7)0.0145 (7)0.0131 (7)0.0013 (5)0.0001 (5)0.0013 (5)
N10.0358 (7)0.0330 (7)0.0251 (6)00.0093 (5)0
C10.0375 (11)0.0555 (14)0.0429 (13)00.0031 (10)0
C20.0224 (5)0.0241 (5)0.0174 (5)0.0057 (4)0.0045 (4)0.0036 (4)
C30.0241 (7)0.0167 (6)0.0171 (6)00.0031 (5)0
O10.0236 (6)0.0282 (6)0.0203 (6)0.0060 (5)0.0073 (4)0.0057 (5)
O20.0214 (6)0.0282 (6)0.0185 (5)0.0045 (5)0.0044 (4)0.0033 (5)
O30.0357 (7)0.0168 (5)0.0202 (6)0.0018 (5)0.0046 (5)0.0000 (4)
H10.055 (3)0.126 (6)0.031 (2)00.006 (2)0
H20.0512 (16)0.0414 (14)0.0580 (18)0.0045 (13)0.0104 (15)0.0009 (14)
H30.070 (4)0.197 (12)0.068 (5)00.019 (4)0
H40.068 (3)0.121 (5)0.151 (6)0.043 (3)0.007 (3)0.050 (5)
H50.077 (2)0.093 (3)0.057 (2)0.057 (2)0.0326 (19)0.046 (2)
H60.121 (5)0.0329 (18)0.0266 (18)00.020 (2)0
Geometric parameters (Å, º) top
Co1—Ni10N1—C11.471 (3)
Co1—O12.0779 (11)N1—H11.023 (4)
Co1—O1i2.0779 (11)N1—H21.029 (3)
Co1—O2ii2.0976 (12)N1—H2iv1.029 (3)
Co1—O2iii2.0976 (12)C1—H31.045 (7)
Co1—O32.0834 (12)C1—H41.043 (6)
Co1—O3i2.0834 (12)C1—H4iv1.043 (6)
Ni1—O12.0779 (11)C2—O11.2393 (15)
Ni1—O1i2.0779 (11)C2—O21.2581 (15)
Ni1—O2ii2.0976 (12)C2—H51.090 (4)
Ni1—O2iii2.0976 (12)C3—O31.2541 (13)
Ni1—O32.0834 (12)C3—O3iv1.2541 (13)
Ni1—O3i2.0834 (12)C3—H61.086 (4)
Ni1—Co1—O10O1i—Ni1—O3i88.15 (5)
Ni1—Co1—O1i0O2ii—Ni1—O2iii180
Ni1—Co1—O2ii0O2ii—Ni1—O388.03 (5)
Ni1—Co1—O2iii0O2ii—Ni1—O3i91.97 (5)
Ni1—Co1—O30O2iii—Ni1—O391.97 (5)
Ni1—Co1—O3i0O2iii—Ni1—O3i88.03 (5)
O1—Co1—O1i180O3—Ni1—O3i180
O1—Co1—O2ii92.57 (5)C1—N1—H1109.3 (3)
O1—Co1—O2iii87.43 (5)C1—N1—H2112.25 (19)
O1—Co1—O388.15 (5)C1—N1—H2iv112.25 (19)
O1—Co1—O3i91.85 (5)H1—N1—H2108.2 (2)
O1i—Co1—O2ii87.43 (5)H1—N1—H2iv108.2 (2)
O1i—Co1—O2iii92.57 (5)H2—N1—H2iv106.5 (3)
O1i—Co1—O391.85 (5)N1—C1—H3108.9 (4)
O1i—Co1—O3i88.15 (5)N1—C1—H4110.1 (3)
O2ii—Co1—O2iii180N1—C1—H4iv110.1 (3)
O2ii—Co1—O388.03 (5)H3—C1—H4109.1 (4)
O2ii—Co1—O3i91.97 (5)H3—C1—H4iv109.1 (4)
O2iii—Co1—O391.97 (5)H4—C1—H4iv109.4 (5)
O2iii—Co1—O3i88.03 (5)O1—C2—O2124.70 (11)
O3—Co1—O3i180O1—C2—H5118.3 (2)
Co1—Ni1—O10O2—C2—H5117.0 (2)
Co1—Ni1—O1i0O3—C3—O3iv123.47 (13)
Co1—Ni1—O2ii0O3—C3—H6118.26 (8)
Co1—Ni1—O2iii0O3iv—C3—H6118.26 (8)
Co1—Ni1—O30Co1—O1—Ni10
Co1—Ni1—O3i0Co1—O1—C2122.60 (9)
O1—Ni1—O1i180Ni1—O1—C2122.60 (9)
O1—Ni1—O2ii92.57 (5)Co1v—O2—Ni1v0
O1—Ni1—O2iii87.43 (5)Co1v—O2—C2120.98 (9)
O1—Ni1—O388.15 (5)Ni1v—O2—C2120.98 (9)
O1—Ni1—O3i91.85 (5)Co1—O3—Ni10
O1i—Ni1—O2ii87.43 (5)Co1—O3—C3122.01 (9)
O1i—Ni1—O2iii92.57 (5)Ni1—O3—C3122.01 (9)
O1i—Ni1—O391.85 (5)
Symmetry codes: (i) x+1, y+1, z+2; (ii) x+1/2, y+1, z+1/2; (iii) x+1/2, y, z+3/2; (iv) x, y+3/2, z; (v) x+1/2, y+1, z1/2.
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1···C31.023 (4)2.452 (4)3.4353 (19)160.8 (4)
N1—H1···O31.023 (4)2.163 (4)3.0491 (16)143.8 (2)
N1—H1···O3iv1.023 (4)2.163 (4)3.0491 (16)143.8 (2)
N1—H2···O2vi1.029 (3)1.852 (3)2.8772 (15)173.6 (3)
C2—H5···O2ii1.090 (4)2.463 (3)3.1059 (15)116.4 (2)
C2—H5···O3vii1.090 (4)2.450 (4)3.0936 (16)116.4 (2)
Symmetry codes: (ii) x+1/2, y+1, z+1/2; (iv) x, y+3/2, z; (vi) x+1, y+1/2, z+1; (vii) x1/2, y, z+3/2.
(I_comp1_RT) top
Crystal data top
C4H9Co0.297NNi0.703O6F(000) = 180.373
Mr = 225.9Dx = 1.912 Mg m3
Orthorhombic, PnmaNeutron radiation, λ = 0.8359 Å
Hall symbol: -P 2ac 2nCell parameters from 145 reflections
a = 8.358 (2) Åθ = 4.2–27.9°
b = 11.637 (3) ŵ = 0.01 mm1
c = 8.069 (2) ÅT = 293 K
V = 784.8 (3) Å3Prism, dark-green
Z = 42.0 × 1.5 × 1.5 × 1.7 (radius) mm
Data collection top
D9 hot-neutron four-circle
diffractometer
544 reflections with I > 3σ(I)
Radiation source: neutron source, ILL High Flux Reactor, beam H3Rint = 0.018
Copper 220 monochromatorθmax = 30.1°, θmin = 3.6°
Detector resolution: 0.25deg vert. 0.25deg hor. pixels mm-1h = 010
ω step–scansk = 1113
745 measured reflectionsl = 97
737 independent reflections
Refinement top
Refinement on F20 restraints
R[F2 > 2σ(F2)] = 0.0356 constraints
wR(F2) = 0.076All H-atom parameters refined
S = 1.18Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo2) + (0.02P)2]
where P = (Fo2 + 2Fc2)/3
737 reflections(Δ/σ)max = 0.003
107 parameters
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Co10.50.510.0138 (5)0.297 (9)
Ni10.50.510.0138 (5)0.703 (9)
N10.5865 (3)0.750.5297 (3)0.0312 (7)
C10.4173 (4)0.750.4783 (5)0.0432 (11)
C20.27777 (19)0.47208 (14)0.72136 (19)0.0212 (5)
C30.5126 (3)0.750.9480 (3)0.0191 (7)
O10.4018 (2)0.43245 (17)0.7849 (2)0.0236 (5)
O20.2224 (2)0.44079 (17)0.5833 (2)0.0221 (5)
O30.5277 (2)0.65538 (16)0.8765 (2)0.0230 (5)
H10.5911 (9)0.750.6554 (8)0.065 (3)
H20.6472 (5)0.8207 (4)0.4865 (6)0.0519 (15)
H30.4094 (12)0.750.3506 (13)0.114 (5)
H40.3591 (7)0.8232 (6)0.5254 (12)0.120 (3)
H50.2104 (6)0.5372 (5)0.7891 (6)0.0747 (19)
H60.4820 (10)0.751.0783 (7)0.062 (3)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.0139 (9)0.0144 (9)0.0133 (9)0.0021 (7)0.0000 (7)0.0005 (7)
Ni10.0139 (9)0.0144 (9)0.0133 (9)0.0021 (7)0.0000 (7)0.0005 (7)
N10.0327 (11)0.0316 (12)0.0294 (12)00.0088 (10)0
C10.0356 (17)0.052 (2)0.042 (2)00.0054 (16)0
C20.0216 (8)0.0235 (9)0.0184 (8)0.0067 (7)0.0044 (7)0.0029 (7)
C30.0219 (12)0.0174 (12)0.0180 (12)00.0034 (10)0
O10.0231 (9)0.0262 (10)0.0216 (9)0.0058 (8)0.0062 (8)0.0042 (9)
O20.0194 (9)0.0279 (10)0.0190 (9)0.0053 (8)0.0046 (8)0.0034 (8)
O30.0326 (10)0.0159 (9)0.0204 (9)0.0020 (8)0.0056 (8)0.0002 (8)
H10.052 (4)0.108 (6)0.035 (4)00.006 (3)0
H20.053 (2)0.041 (2)0.062 (3)0.005 (2)0.015 (2)0.003 (2)
H30.074 (6)0.206 (13)0.062 (6)00.017 (5)0
H40.064 (4)0.116 (5)0.179 (8)0.043 (4)0.000 (5)0.049 (6)
H50.076 (3)0.092 (4)0.056 (3)0.054 (3)0.027 (3)0.041 (3)
H60.118 (6)0.035 (3)0.032 (4)00.016 (4)0
Geometric parameters (Å, º) top
Co1—Ni10N1—C11.474 (4)
Co1—O12.075 (2)N1—H11.015 (7)
Co1—O1i2.075 (2)N1—H21.027 (5)
Co1—O2ii2.094 (2)N1—H2iv1.027 (5)
Co1—O2iii2.094 (2)C1—H31.032 (11)
Co1—O32.078 (2)C1—H41.052 (8)
Co1—O3i2.078 (2)C1—H4iv1.052 (8)
Ni1—O12.075 (2)C2—O11.245 (3)
Ni1—O1i2.075 (2)C2—O21.260 (2)
Ni1—O2ii2.094 (2)C2—H51.091 (5)
Ni1—O2iii2.094 (2)C3—O31.250 (2)
Ni1—O32.078 (2)C3—O3iv1.250 (2)
Ni1—O3i2.078 (2)C3—H61.082 (7)
Ni1—Co1—O10O1i—Ni1—O3i88.42 (8)
Ni1—Co1—O1i0O2ii—Ni1—O2iii180
Ni1—Co1—O2ii0O2ii—Ni1—O388.09 (8)
Ni1—Co1—O2iii0O2ii—Ni1—O3i91.91 (8)
Ni1—Co1—O30O2iii—Ni1—O391.91 (8)
Ni1—Co1—O3i0O2iii—Ni1—O3i88.09 (8)
O1—Co1—O1i180O3—Ni1—O3i180
O1—Co1—O2ii92.41 (7)C1—N1—H1108.5 (5)
O1—Co1—O2iii87.59 (7)C1—N1—H2112.2 (3)
O1—Co1—O388.42 (8)C1—N1—H2iv112.2 (3)
O1—Co1—O3i91.58 (8)H1—N1—H2108.7 (4)
O1i—Co1—O2ii87.59 (7)H1—N1—H2iv108.7 (4)
O1i—Co1—O2iii92.41 (7)H2—N1—H2iv106.4 (4)
O1i—Co1—O391.58 (8)N1—C1—H3110.0 (6)
O1i—Co1—O3i88.42 (8)N1—C1—H4110.0 (4)
O2ii—Co1—O2iii180N1—C1—H4iv110.0 (4)
O2ii—Co1—O388.09 (8)H3—C1—H4109.3 (6)
O2ii—Co1—O3i91.91 (8)H3—C1—H4iv109.3 (6)
O2iii—Co1—O391.91 (8)H4—C1—H4iv108.1 (7)
O2iii—Co1—O3i88.09 (8)O1—C2—O2124.23 (18)
O3—Co1—O3i180O1—C2—H5118.7 (3)
Co1—Ni1—O10O2—C2—H5117.0 (3)
Co1—Ni1—O1i0O3—C3—O3iv123.6 (2)
Co1—Ni1—O2ii0O3—C3—H6118.22 (13)
Co1—Ni1—O2iii0O3iv—C3—H6118.22 (13)
Co1—Ni1—O30Co1—O1—Ni10
Co1—Ni1—O3i0Co1—O1—C2122.24 (14)
O1—Ni1—O1i180Ni1—O1—C2122.24 (14)
O1—Ni1—O2ii92.41 (7)Co1v—O2—Ni1v0
O1—Ni1—O2iii87.59 (7)Co1v—O2—C2120.97 (14)
O1—Ni1—O388.42 (8)Ni1v—O2—C2120.97 (14)
O1—Ni1—O3i91.58 (8)Co1—O3—Ni10
O1i—Ni1—O2ii87.59 (7)Co1—O3—C3122.26 (16)
O1i—Ni1—O2iii92.41 (7)Ni1—O3—C3122.26 (16)
O1i—Ni1—O391.58 (8)
Symmetry codes: (i) x+1, y+1, z+2; (ii) x+1/2, y+1, z+1/2; (iii) x+1/2, y, z+3/2; (iv) x, y+3/2, z; (v) x+1/2, y+1, z1/2.
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1···C31.015 (7)2.450 (7)3.431 (4)162.3 (6)
N1—H1···O31.015 (7)2.162 (6)3.047 (3)144.6 (3)
N1—H1···O3iv1.015 (7)2.162 (6)3.047 (3)144.6 (3)
N1—H2···O2vi1.027 (5)1.859 (5)2.882 (3)173.7 (4)
C2—H5···O2ii1.091 (5)2.452 (5)3.091 (3)116.1 (3)
C2—H5···O3vii1.091 (5)2.451 (5)3.089 (3)116.0 (3)
Symmetry codes: (ii) x+1/2, y+1, z+1/2; (iv) x, y+3/2, z; (vi) x+1, y+1/2, z+1; (vii) x1/2, y, z+3/2.
(I_comp3_RT) top
Crystal data top
C4H9Co0.765NNi0.235O6F(000) = 165.739
Mr = 226Dx = 1.893 Mg m3
Orthorhombic, PnmaNeutron radiation, λ = 0.8348 Å
Hall symbol: -P 2ac 2nCell parameters from 130 reflections
a = 8.372 (2) Åθ = 4.1–30.0°
b = 11.705 (4) ŵ = 0.01 mm1
c = 8.095 (2) ÅT = 293 K
V = 793.2 (4) Å3Prism, dark-red
Z = 41.5 × 1.5 × 1.0 × 1.3 (radius) mm
Data collection top
D9 hot-neutron four-circle
diffractometer
316 reflections with I > 3σ(I)
Radiation source: neutron source, ILL High Flux Reactor, beam H3Rint = 0.034
Copper 220 monochromatorθmax = 30.1°, θmin = 3.6°
Detector resolution: 0.25deg vert. 0.25deg hor. pixels mm-1h = 105
ω step–scansk = 113
549 measured reflectionsl = 81
528 independent reflections
Refinement top
Refinement on F26 constraints
R[F2 > 2σ(F2)] = 0.064All H-atom parameters refined
wR(F2) = 0.153Weighting scheme based on measured s.u.'s w = 1/[σ2(Fo2) + (0.02P)2]
where P = (Fo2 + 2Fc2)/3
S = 1.76(Δ/σ)max = 0.006
528 reflectionsΔρmax = 1.75 e Å3
107 parametersΔρmin = 1.57 e Å3
0 restraints
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Co10.50.510.021 (3)0.77 (2)
Ni10.50.510.021 (3)0.23 (2)
N10.5856 (7)0.750.5302 (11)0.037 (2)
C10.4176 (10)0.750.4803 (15)0.049 (4)
C20.2791 (6)0.4712 (4)0.7216 (6)0.0276 (16)
C30.5107 (8)0.750.9459 (12)0.027 (2)
O10.4032 (6)0.4317 (4)0.7845 (7)0.0298 (17)
O20.2233 (6)0.4393 (5)0.5833 (7)0.0301 (17)
O30.5284 (7)0.6560 (5)0.8737 (7)0.0332 (18)
H10.589 (2)0.750.652 (3)0.063 (8)
H20.6462 (13)0.8224 (10)0.4866 (15)0.058 (4)
H30.411 (3)0.750.347 (4)0.113 (13)
H40.3624 (17)0.8190 (15)0.523 (3)0.120 (9)
H50.2121 (16)0.5366 (13)0.7856 (16)0.084 (5)
H60.481 (3)0.751.076 (3)0.070 (8)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Co10.017 (5)0.021 (5)0.025 (7)0.005 (4)0.002 (4)0.002 (5)
Ni10.017 (5)0.021 (5)0.025 (7)0.005 (4)0.002 (4)0.002 (5)
N10.041 (3)0.034 (3)0.035 (5)00.005 (4)0
C10.033 (4)0.073 (7)0.042 (7)00.001 (5)0
C20.032 (3)0.032 (2)0.019 (3)0.001 (2)0.004 (3)0.007 (2)
C30.029 (3)0.029 (4)0.024 (5)00.003 (4)0
O10.022 (2)0.037 (3)0.030 (4)0.006 (2)0.008 (3)0.001 (3)
O20.025 (2)0.033 (3)0.032 (4)0.005 (2)0.001 (3)0.008 (3)
O30.044 (3)0.028 (3)0.028 (3)0.007 (3)0.004 (3)0.002 (3)
H10.051 (10)0.097 (16)0.041 (13)00.018 (10)0
H20.059 (6)0.056 (7)0.060 (8)0.021 (6)0.014 (6)0.018 (6)
H30.084 (16)0.19 (3)0.061 (18)00.027 (14)0
H40.067 (9)0.123 (14)0.17 (2)0.054 (9)0.010 (11)0.052 (13)
H50.079 (8)0.110 (11)0.064 (9)0.059 (9)0.032 (7)0.026 (9)
H60.130 (18)0.044 (9)0.037 (13)00.038 (11)0
Geometric parameters (Å, º) top
Co1—Ni10N1—H21.048 (12)
Co1—O12.083 (5)N1—H2iv1.048 (12)
Co1—O1i2.083 (5)C1—H31.08 (3)
Co1—O2ii2.111 (5)C1—H40.991 (19)
Co1—O2iii2.111 (5)C1—H4iv0.991 (19)
Co1—O32.106 (6)C2—O11.247 (7)
Co1—O3i2.106 (6)C2—O21.269 (8)
Ni1—O12.083 (5)C2—H51.081 (15)
Ni1—O1i2.083 (5)C3—O31.255 (7)
N1—C11.464 (11)C3—O3iv1.255 (7)
N1—H10.98 (3)C3—H61.08 (2)
Ni1—Co1—O10C1—N1—H1107.8 (13)
Ni1—Co1—O1i0C1—N1—H2111.8 (8)
Ni1—Co1—O2ii0C1—N1—H2iv111.8 (8)
Ni1—Co1—O2iii0H1—N1—H2108.7 (10)
Ni1—Co1—O30H1—N1—H2iv108.7 (10)
Ni1—Co1—O3i0H2—N1—H2iv107.8 (11)
O1—Co1—O1i180N1—C1—H3108.8 (15)
O1—Co1—O2ii93.0 (2)N1—C1—H4110.6 (11)
O1—Co1—O2iii87.0 (2)N1—C1—H4iv110.6 (11)
O1—Co1—O388.3 (2)H3—C1—H4108.8 (16)
O1—Co1—O3i91.7 (2)H3—C1—H4iv108.8 (16)
O1i—Co1—O2ii87.0 (2)H4—C1—H4iv109.1 (17)
O1i—Co1—O2iii93.0 (2)O1—C2—O2123.9 (5)
O1i—Co1—O391.7 (2)O1—C2—H5120.0 (9)
O1i—Co1—O3i88.3 (2)O2—C2—H5116.1 (8)
O2ii—Co1—O2iii180O3—C3—O3iv122.6 (8)
O2ii—Co1—O387.9 (2)O3—C3—H6118.7 (5)
O2ii—Co1—O3i92.1 (2)O3iv—C3—H6118.7 (5)
O2iii—Co1—O392.1 (2)Co1—O1—Ni10
O2iii—Co1—O3i87.9 (2)Co1—O1—C2121.6 (4)
O3—Co1—O3i180Ni1—O1—C2121.6 (4)
Co1—Ni1—O10Co1v—O2—C2120.6 (4)
Co1—Ni1—O1i0Co1—O3—C3121.4 (5)
O1—Ni1—O1i180
Symmetry codes: (i) x+1, y+1, z+2; (ii) x+1/2, y+1, z+1/2; (iii) x+1/2, y, z+3/2; (iv) x, y+3/2, z; (v) x+1/2, y+1, z1/2.
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1···C30.98 (3)2.47 (3)3.423 (13)162.8 (15)
N1—H1···O30.98 (3)2.17 (2)3.029 (10)145.2 (8)
N1—H1···O3iv0.98 (3)2.17 (2)3.029 (10)145.2 (8)
N1—H2···O2vi1.048 (12)1.840 (13)2.883 (7)172.5 (10)
C2—H5···O2ii1.081 (15)2.486 (14)3.110 (8)115.6 (9)
C2—H5···O3vii1.081 (15)2.445 (15)3.110 (7)118.6 (9)
Symmetry codes: (ii) x+1/2, y+1, z+1/2; (iv) x, y+3/2, z; (vi) x+1, y+1/2, z+1; (vii) x1/2, y, z+3/2.
 

Acknowledgements

We acknowledge Dr Jem Pitcairn for his aid in magnetometry measurements and ILL for beam time (proposal Nos. 5-41-1157; EASY-779; EASY-846; EASY-1131). Raw datasets from ILL experiments can be accessed via links provided in the references.

Funding information

The following funding is acknowledged: Institut Laue Langevin (studentship No. PhD-201_26 awarded to MG); School of Chemistry, University of Nottingham (Hobday bequest awarded to MJC).

References

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