Terbium and Europium Chlorocyananilate-Based 2D Coordination Polymers

Two-dimensional layered coordination polymers based on the hetero-substituted 3-chloro-6-cyano-2,5-dihydroxybenzoquinone ligands, hereafter ClCNAn2− anilate, and LnIII ions (Tb and Eu) are reported. Compounds 1 and 2, formulated as Ln2(ClCNAn)3(DMSO)6 (LnIII = Tb, 1; Eu, 2), and their related intermediates 1′ and 2′, formulated as Ln2(ClCNAn)3(H2O)x·yH2O (x + y likely = 12, Ln = Tb, 1′; and Eu, 2′), were prepared by a conventional one-pot reaction (the latter) and recrystallized from DMSO solvent (the former). Polyhydrated intermediates 1′ and 2′ show very similar XRPD patterns, while, despite their common stoichiometry, 1 and 2 are not isostructural. Compound 1 consists of a 2D coordination framework of 3,6 topology, where [Tb(DMSO)3]III moieties are bridged by three bis-chelating ClCNAn2− ligands, forming distorted hexagons. Ultrathin nanosheets of 1 were obtained by exfoliation via the liquid-assisted sonication method and characterized by atomic force microscopy, confirming the 2D nature of 1. The crystal structure of 2, still showing the presence of 2D sheets with a “hexagonal” mesh and a common (3,6) connectivity, is based onto flat, non-corrugated slabs. Indeed, at a larger scale, the different “rectangular tiles” show clear roofing in 1, which is totally absent in 2. The magnetic behavior of 1 very likely indicates depopulation of the highest crystal-field levels, as expected for TbIII compounds.


Introduction
Lanthanide-based Coordination Polymers (Ln-CPs) and Metal-Organic Frameworks (Ln-MOFs) have attracted considerable interest in material science thanks to their peculiar supramolecular architectures (extending in one, two or three dimensions: 1D, 2D and 3D), their versatile optical properties in the visible (Eu III and Tb III ) [1][2][3] and near-IR (NIR, for Nd III , Er III and Yb III ) regions, and also their unique magnetic (Ho III , Dy III and Tb III ) properties, due to their intrinsically high magnetic anisotropy, at the origin of interesting magnetic phenomena such as hard magnets or single-molecule magnets.By virtue of these features, they find applications in several applied fields, ranging from telecommunication and data storage to drug delivery, sensing and catalysis [4][5][6][7].Among these materials, two-dimensional coordination polymers (2D CPs), containing self-assembling metal-ligand-based sheets mutually interacting through weak(er) non-covalent-type interactions as Van der Waals, dipolar and hydrogen-bonding, are of ever-growing interest in material chemistry, as their ultrathin nature favors unique optical, electronic and magnetic properties [8][9][10], as well as chemical processing and rheology, through swelling or exfoliation [11,12].
Among the plethora of ligands which have been employed to fabricate multi-dimensional CPs, 3,6-disubstituted-2,5-dihydroxy-1,4-benzoquinone derivatives, commonly known as anilates, have been widely investigated, by virtue of their Janus-type ability of chelating different metal ions on two opposite sides of the central (and planar) benzoquinone core [13].The introduction of Lewis-basic functional groups at the 3,6-positions has soon become a viable strategy to avoid the formation of polymeric ribbons, improving material's dimensionality to sheets of the chess-board type [14].The resulting 2D materials thus manifested interesting physical properties, as they were found to behave as organic ferroelectrics [15], magnetic conductors [16] or multifunctional MOFs [17].
Molecules 2023, 28, x FOR PEER REVIEW 2 of 13 properties, due to their intrinsically high magnetic anisotropy, at the origin of interesting magnetic phenomena such as hard magnets or single-molecule magnets.By virtue of these features, they find applications in several applied fields, ranging from telecommunication and data storage to drug delivery, sensing and catalysis [4,5,6,7].Among these materials, two-dimensional coordination polymers (2D CPs), containing self-assembling metalligand-based sheets mutually interacting through weak(er) non-covalent-type interactions as Van der Waals, dipolar and hydrogen-bonding, are of ever-growing interest in material chemistry, as their ultrathin nature favors unique optical, electronic and magnetic properties [8,9,10], as well as chemical processing and rheology, through swelling or exfoliation [11,12].Among the plethora of ligands which have been employed to fabricate multidimensional CPs, 3,6-disubstituted-2,5-dihydroxy-1,4-benzoquinone derivatives, commonly known as anilates, have been widely investigated, by virtue of their Janus-type ability of chelating different metal ions on two opposite sides of the central (and planar) benzoquinone core [13].The introduction of Lewis-basic functional groups at the 3,6positions has soon become a viable strategy to avoid the formation of polymeric ribbons, improving material's dimensionality to sheets of the chess-board type [14].The resulting 2D materials thus manifested interesting physical properties, as they were found to behave as organic ferroelectrics [15], magnetic conductors [16] or multifunctional MOFs [17].
In 2015, some of us reported on the synthesis and characterization of the first example of a heterosubstituted anilate ligand, 3-chloro-6-cyano-2,5-dihydroxybenzoquinone (in the form of its potassium salt, labeled as KHClCNAn) [18].In 2018, by using this novel anilate, Gomez-Garcia et al. obtained [Ln2(ClCNAn)3(solv)6]•CPs [Ln III = Ce, Pr, solv = N,N-dimethylformamide (DMF); Yb, Pr, solv = dimethyl sulfoxide (DMSO); Dy, solv = water (H2O)] [19] by strictly controlling the reaction conditions (solvent and Ln III size).Furthermore, some of us highlighted the suitability of KHClCNAn to act as an efficient building block for functional (optical and magnetic) 2D CPs and as a sensitizer for NIR lanthanide emission (by the antenna effect).Specifically, by combining a doubly deprotonated ClCNAn 2− ligand with Er III , Yb III and Nd III ions, 2D [Ln2(ClCNAn)3(DMF)6]•nCH2Cl2 (Ln = Yb (n = 0), Nd, and Er (n = 2)) CPs, which manifested an efficient energy transfer from triplet states of the ligands to Ln III ions [20], have been prepared.Their 2D structure made this possible by the well-known top-down approach of liquid-assisted exfoliation to ultrathin nanosheets [21,22].Chart 1 illustrates the basic structural motif present in all these CPs.In 2019, some of us investigated the structural polymorphism of chlorocyanoanilatebased Dy III CPs.Therein, it was reported how, by changing the synthetic methods (layering technique, solvothermal or conventional one-pot reactions) and conditions (solvent, concentration, etc.), different types of structurally and magnetically characterized 2D extended networks could be selectively obtained.Later, in 2020, Yb IIIbased nanosheets containing two mixed linkers (anilate/carboxylate) were obtained by exfoliation of bulk CPs via the solvent-assisted sonication method [8].Ultrathin nanosheets were characterized by imaging (atomic force microscopy-AFM and highresolution transmission electron microscopy-HRTEM) and diffraction (X-ray powder In 2019, some of us investigated the structural polymorphism of chlorocyanoanilatebased Dy III CPs.Therein, it was reported how, by changing the synthetic methods (layering technique, solvothermal or conventional one-pot reactions) and conditions (solvent, concentration, etc.), different types of structurally and magnetically characterized 2D extended networks could be selectively obtained.Later, in 2020, Yb III -based nanosheets containing two mixed linkers (anilate/carboxylate) were obtained by exfoliation of bulk CPs via the solvent-assisted sonication method [8].Ultrathin nanosheets were characterized by imaging (atomic force microscopy-AFM and high-resolution transmission electron microscopy-HRTEM) and diffraction (X-ray powder diffraction-XRPD) techniques, highlighting how their optical properties can be affected by the presence of different analytes.

Ln Ln
As a further development and investigation of such materials, herein we report the synthesis and structural and magnetic characterization of two 2D CPs, formulated as Ln 2 (ClCNAn) 3 (DMSO) 6 (Ln III = Tb, 1; Eu, 2), which were obtained by recrystallization in DMSO solvent of the related Ln 2 (ClCNAn) 3 (H 2 O) x •yH 2 O intermediates (x + y likely = 12, Ln = Tb, 1 ; and Eu, 2 ) synthesized by a one-pot reaction in water.

Results
Lanthanide ClCNAn 2− -based polyhydrated compounds 1 and 2 are formed by selfassembly of Ln III and chlorocyananilate ions in aqueous solution (Figure 1).Precipitated as reddish polycrystalline powders, they showed very similar XRPD traces (shown in Figure 2a,b, together with their structureless Le Bail fit, obtained after successful indexing of isomorphous unit cells; see Methods and Table 1).Unfortunately, the quality of the diffraction data and the presence of unavoidable contaminant peaks along with the complexity of the material did not enable the determination of the crystal structure and molecular connectivity.This problem was not encountered in the structural determination of the 2D CPs 1 (from conventional single-crystal X-ray diffraction data) and 2 (from PXRD data), later discussed.Notwithstanding, the cell volume of ca.920 Å 3 gives a clear indication, following Hofmann's rules [23], of the material stoichiometry, which we propose to be Ln 2 (ClCNAn) 3 (H 2 O) x •yH 2 O, with x + y = 12.
highlighting how their optical properties can be affected by the presence of different lytes.

Results
Lanthanide ClCNAn 2− -based polyhydrated compounds 1′ and 2′ are formed by assembly of Ln III and chlorocyananilate ions in aqueous solution (Figure 1).Precipi as reddish polycrystalline powders, they showed very similar XRPD traces (shown in ure 2a,b, together with their structureless Le Bail fit, obtained after successful indexi isomorphous unit cells; see Methods and Table 1).Unfortunately, the quality of the fraction data and the presence of unavoidable contaminant peaks along with the com ity of the material did not enable the determination of the crystal structure and mole connectivity.This problem was not encountered in the structural determination of th CPs 1 (from conventional single-crystal X-ray diffraction data) and 2 (from PXRD d later discussed.Notwithstanding, the cell volume of ca.920 Å 3 gives a clear indica following Hofmann's rules [23], of the material stoichiometry, which we propose Ln2(ClCNAn)3(H2O)x•yH2O, with x + y = 12.As illustrated in Figure 2, these hydrated species were further recrystallized in DMSO to obtain single crystals of 1, suitable for X-ray diffraction, and a monophasic polycrystalline material, 2, characterized by structural PXRD.Eventually, both these species were formulated as Ln 2 (ClCNAn) 3 (DMSO) 6 (Ln III = Tb for 1 and Eu for 2).

Table 1. Crystal data for compounds Ln
Despite their common stoichiometry, compounds 1, Tb 2 (ClCNAn) 3 (DMSO) 6 , and 2, Eu 2 (ClCNAn) 3 (DMSO) 6 , are not isostructural and crystallize in the monoclinic P2 1 /n and triclinic P-1 space groups, respectively.Given that the structure of compound 1 has been determined by conventional single-crystal analysis (and not by the less accurate structural powder diffraction methods), the stereochemical description will be mostly focused on 1 (Tb-CP).In this structure, the asymmetric unit contains one Tb III ion, one and a half ClCNAn 2− ligands and three DMSO molecules (see Figure 3a).In the ClCNAn 2− ligands, chloro and cyano substituents are 50:50 disordered for the (crystallographically imposed) centrosymmetric anilate, and 58:42 for the fully independent ligand.Such a disorder, attributed to residues with similar steric requirements, is indeed commonly observed in ClCNAn 2− -based CPs [20,24,25].As illustrated in Figure 2, these hydrated species were further recrystallized in DMSO to obtain single crystals of 1, suitable for X-ray diffraction, and a monophasic polycrystalline material, 2, characterized by structural PXRD.Eventually, both these species were formulated as Ln2(ClCNAn)3(DMSO)6 (Ln III = Tb for 1 and Eu for 2).
Despite their common stoichiometry, compounds 1, Tb2(ClCNAn)3(DMSO)6, and 2, Eu2(ClCNAn)3(DMSO)6, are not isostructural and crystallize in the monoclinic P21/n and triclinic P-1 space groups, respectively.Given that the structure of compound 1 has been determined by conventional single-crystal analysis (and not by the less accurate structural powder diffraction methods), the stereochemical description will be mostly focused on 1 (Tb-CP).In this structure, the asymmetric unit contains one Tb III ion, one and a half ClC-NAn 2− ligands and three DMSO molecules (see Figure 3a).In the ClCNAn 2− ligands, chloro and cyano substituents are 50:50 disordered for the (crystallographically imposed) centrosymmetric anilate, and 58:42 for the fully independent ligand.Such a disorder, attributed to residues with similar steric requirements, is indeed commonly observed in ClCNAn 2−based CPs [20,24,25].In addition, the DMSO solvent molecules (apart from the metal-bound oxygen atoms) were found to be severely disordered.
In the structure shown in Figure 3d, the corrugated 2D layers (drawn by omitting, for clarity, the disordered Cl/CN and DMSO atoms) are arranged parallel to the (10-1) plane and are highly corrugated, their nominal thickness being ca.18 Å (the length of the a-c diagonal).As commonly seen in lanthanide-anilate-based CPs, within these wavy 2D slabs the coordinated DMSO molecules stick out toward the concave potions of the neighboring layers (Figure 3d).A similar structure type was reported for Ln 2 (ClCNAn) 3 (DMSO) 6 (Ln 3+ = Dy [10] and Pr [19]).
In Figure 4a, one can appreciate the ca.18 Å periodicity in the sequence of the layers (2×), which can be used to estimate the number of these slabs (n s ) within an exfoliated 2D nanocrystal of thickness t (vide infra) as n s = t/9.
Morphological characterization of the corresponding nanosheets of 1 CP was performed by AFM, on drop-casted suspensions, obtained by crystal sonication, confirming the 2D nature of 1 bulk size CP.Remarkably, micrometer-sized nanosheets were obtained, with heights ranging from one to four layers, as clearly shown in Figure 4b.
The structure of compound 2, determined (in the absence of single crystal specimens of suitable size and quality) by unconventional powder diffraction methods, is here discussed only from a connectivity and topological point of view.Indeed, as several restraints were added to stabilize convergence to physically meaningful results, with an extensive usage of rigid bodies to describe the chlorocyananilate and DMSO ligands, no substantial stereochemical (bond distances and angles) descriptors can be taken as being accurate enough.Nevertheless, the following discussion does not suffer from such inaccuracy, and includes fully reliable (packing) features.In the crystal structure of 2, the asymmetric unit contains one Eu III ion, three distinct half ClCNAn 2− ligands and three DMSO molecules (see Figure 5a for a slightly larger fragment, excised from the whole structure).All being chlorocyananilate ligands located onto three different inversion centers, they all have crystallographically imposed disordered 50:50 Cl/CN residues.Also, in compound 2, the lanthanide ion is ennea-coordinated, with three chelating chlorocyananilates and three individual O-bound DMSO molecules.
In the structure shown in Figure 3d, the corrugated 2D layers (drawn by omitting, for clarity, the disordered Cl/CN and DMSO atoms) are arranged parallel to the (10-1) plane and are highly corrugated, their nominal thickness being ca.18 Å (the length of the a-c diagonal).As commonly seen in lanthanide-anilate-based CPs, within these wavy 2D slabs the coordinated DMSO molecules stick out toward the concave potions of the neighboring layers (Figure 3d).A similar structure type was reported for Ln2(ClCNAn)3(DMSO)6 (Ln 3+ = Dy [10] and Pr [19]).
In Figure 4a, one can appreciate the ca.18 Å periodicity in the sequence of the layers (2×), which can be used to estimate the number of these slabs (ns) within an exfoliated 2D nanocrystal of thickness t (vide infra) as ns = t/9.
Morphological characterization of the corresponding nanosheets of 1 CP was performed by AFM, on drop-casted suspensions, obtained by crystal sonication, confirming the 2D nature of 1 bulk size CP.Remarkably, micrometer-sized nanosheets were obtained, with heights ranging from one to four layers, as clearly shown in Figure 4b.The structure of compound 2, determined (in the absence of single crystal specimens of suitable size and quality) by unconventional powder diffraction methods, is here discussed only from a connectivity and topological point of view.Indeed, as several restraints were added to stabilize convergence to physically meaningful results, with an extensive usage of rigid bodies to describe the chlorocyananilate and DMSO ligands, no substantial stereochemical (bond distances and angles) descriptors can be taken as being accurate enough.Nevertheless, the following discussion does not suffer from such inaccuracy, and includes fully reliable (packing) features.In the crystal structure of 2, the asymmetric unit contains one Eu III ion, three distinct half ClCNAn 2− ligands and three DMSO molecules (see Figure 5a for a slightly larger fragment, excised from the whole structure).All being chlorocyananilate ligands located onto three different inversion centers, they all have crystallographically imposed disordered 50:50 Cl/CN residues.Also, in compound 2, the lanthanide ion is ennea-coordinated, with three chelating chlorocyananilates and three individual O-bound DMSO molecules.
Differently from the structure of 1, the overall crystal structure of Eu2(ClC-NAn)3(DMSO)6, still showing the presence of 2D sheets with a "hexagonal" mesh and a common (3,6) connectivity, is based onto flat, non-corrugated slabs (as per Figure 5b,c).The internal angles of these degenerate hexagons are 88.1, 109.5 and 156.9° (2×, adding up   Differently from the structure of 1, the overall crystal structure of Eu 2 (ClCNAn) 3 (DMSO) 6 , still showing the presence of 2D sheets with a "hexagonal" mesh and a common (3,6) connectivity, is based onto flat, non-corrugated slabs (as per Figure 5b,c).The internal angles of these degenerate hexagons are 88.1, 109.5 and 156.9 • (2×, adding up to 709 • ).All very similar to those found in compound 1 and presented above, the interionic Eu• • • Eu separations of 8.83, 8.84 and 8.89 Å alone do not provide any direct hint of the significantly different warping of the 2D slabs in 1 and 2. Indeed, the differences arise at a larger scale, where the different "rectangular tiles" show clear roofing in 1, which is totally absent in 2 (dihedral angles between tiles of 102.1 • and 0 • , respectively).
Magnetic measurements were carried out with a fine powder sample of 1 as a function of temperature (Figure 6).The χ m T value at room temperature (25.1 cm 3 K mol -1 ) is in good agreement with the expected value for two magnetically independent Tb III cations.The high spin-orbit coupling found in rare earths is responsible for such a high magnetic moment, arising from a ground state defined by J = 6.For a theoretical g = 3/2, a χ m T ≈ 11.81 cm 3 K mol -1 is expected [26], but room temperature χ m T products up to ≈ 13 cm 3 K mol -1 have been reported for a single Tb III cation [27].Also expected for Tb III , the χ m T value decreases when the temperature is decreased, because of the depopulation of the higher crystal-field levels.The high anisotropy of the Tb III centers does not allow detection of any additional super-exchange interactions promoted by the bridging organic ligands.Dynamic (AC) magnetic susceptibility measurements were performed down to 2 K at different frequencies (Figure 6).No out-of-phase χ signal was observed, not even when an additional DC magnetic field was applied, indicating no SMM (Single Molecular Magnet) behavior for this compound.

Conclusions
The ditopic capability of chlorocyanoanilate ligands to chelate metal ions on two posite sides of a central (and planar) benzoquinone core has been successfully exploi in the construction of 2D lanthanide coordination polymers formulated as Ln2(C NAn)3(DMSO)6 (Ln III =Tb for 1 and Eu for 2), generated from corresponding hydrated termediates.Remarkably, the polyhydrated intermediates are isostructural, while recr tallization from DMSO by slow evaporation affords 1 and 2, which are not isostructu despite their common stoichiometry and crystallize in the monoclinic P21/n and tricli P-1 space groups, respectively.A single-crystal X-ray study of 1 shows that the Tb III ion ennea-coordinated within a slightly distorted tri-capped trigonal prismatic geome where bis-chelating ClCNAn 2− ligands bridge [Tb(DMSO)3] 3+ moieties, providing 2D c rugated layers.The 2D character of the coordination network in 1 allowed its exfoliat into nanosheets imaged by AFM.The magnetic susceptibility measurements of 1 are agreement with isolated Tb III centers without slow magnetic relaxation.Despite their h magnetic anisotropy, the appearance of SMM behavior in rare earth complexes is fu dependent on the geometry imposed by the ligands, which is difficult to predict or tu in the solid state structure, especially with flexible organic ligands/linkers [28].The str

Conclusions
The ditopic capability of chlorocyanoanilate ligands to chelate metal ions on two opposite sides of a central (and planar) benzoquinone core has been successfully exploited in the construction of 2D lanthanide coordination polymers formulated as Ln 2 (ClCNAn) 3 (DMSO) 6 (Ln III =Tb for 1 and Eu for 2), generated from corresponding hydrated intermediates.Remarkably, the polyhydrated intermediates are isostructural, while recrystallization from DMSO by slow evaporation affords 1 and 2, which are not isostructural despite their common stoichiometry and crystallize in the monoclinic P2 1 /n and triclinic P-1 space groups, respectively.A single-crystal X-ray study of 1 shows that the Tb III ion is ennea-coordinated within a slightly distorted tri-capped trigonal prismatic geometry, where bis-chelating ClCNAn 2− ligands bridge [Tb(DMSO) 3 ] 3+ moieties, providing 2D corrugated layers.The 2D character of the coordination network in 1 allowed its exfoliation into nanosheets imaged by AFM.The magnetic susceptibility measurements of 1 are in agreement with isolated Tb III centers without slow magnetic relaxation.Despite their high magnetic anisotropy, the appearance of SMM behavior in rare earth complexes is fully dependent on the geometry imposed by the ligands, which is difficult to predict or tune in the solid state structure, especially with flexible organic ligands/linkers [28].The structure of the Eu III coordination polymer 2, as determined from PXRD measurements, is slightly different compared to that of 1 since the slabs are not corrugated.These results nicely complete and complement the series of coordination polymers based on chlorocyananilate ligands and lanthanide ions.Variation of the anilate substituents and lanthanides co-ligands is envisaged in order to tailor the magnetic and optical properties of these 2D materials.

Materials and Methods
Materials Reagents were purchased from Zentek (TCI) and used without further purification.HPLC-grade solvents were purchased from Thermofisher Scientific Alfa-Aesar.KHClCNAn was synthesized as reported in literature [18].
Synthesis of Tb 2 (ClCNAn) 3 (DMSO) 6 .( 1).An aqueous solution of Tb(NO 3 ) 3 •5H 2 O (0.30 mmol; 103 mg) was added dropwise to an aqueous red solution of KHClCN (0.15 mmol; 36 mg) and NaOH (0.10 mmol; 7.2 mg), showing an immediate color change to purple.After stirring at 90 • C for ca. 4 h, a purple precipitate appeared (1 ).The mixture was cooled down to room temperature and the powder was collected from the mother liquor by vacuum filtration.The solid was then washed several times with cold deionized water.
Analytical evidence suggested a Tb 2 (ClCNAn) 3 (H 2 O) x chemical formula for this intermediate (1 ).Red prismatic crystals of 1, suitable for X-ray analysis, were obtained by recrystallization from DMSO (15 mg of 1 in 10 mL of DMSO) by slow evaporation, in a petri vial, at room temperature (T = 25 • C), within one week.
(2) This compound was synthesized with a similar synthetic approach, using Eu(NO 3 ) 3 •5H 2 O instead of Tb(NO 3 ) 3 •5H 2 O.As for the above synthesis, the 2 and 2 labels are associated with a red hydrated polycrystalline intermediate and DMSO-containing recrystallized polycrystalline material, respectively.
Synthesis of Nanosheets of 1. Nanosheets were fabricated using the top-down sonicationassisted exfoliation method.Delamination was achieved by sonicating (Bandelin electronic equipment at 230 V) the dried powder of 1 CPs (1 mg) samples in isopropanol (1 mL) for 15 min at room temperature.
X-ray Single-Crystal Structure Determination.A single crystal of compound 1 was mounted on a glass fiber loop using a viscous crystal-coating hydrocarbon oil and was immediately transferred to the diffractometer cradle equipped with a cold N 2 stream.Data collection was performed at 150 K on an Agilent Supernova Diffractometer with monochromatized Cu Kα radiation (λ = 1.54184Å).The structure was solved by direct methods with the SIR97 program [29] and refined against all F 2 values using the SHELXL-97/ WinGX suite of programs [30].All H atoms were placed in calculated positions and refined isotropically with a riding model.Non-H atoms were refined anisotropically except for the disordered ones: C7, C8 and C12 within the cyano groups and the methyl residues of the DMSO molecules.Crystallographic data and refinement parameters for 1 are listed in Table 2. Full crystal data, in the standard Crystallographic Information File format, have been deposited at the Cambridge Crystallographic Data Centre (CCDC Code: 2284151).
X-ray Powder Diffraction-Crystal Structure Determination.Samples of 1 , 2 and 2 were gently ground in an agate mortar and then deposited in the hollow of a silicon monocrystal zero-background plate (supplied by Assing SpA, Monterotondo, Italy).XRPD measurements were performed using a Bruker AXS D8 Advance diffractometer in Bragg-Brentano θ:θ geometry, equipped with a Lynxeye position sensitive detector.DS: 0.

Cell Determination from X-ray Diffraction Data
Standard peak search methods followed by the accurate estimate of the low-angle peak position and the use of the singular value decomposition protocol [31] implemented in TOPAS-R (V.3.0,2005, Bruker AXS, Karlsruhe, Germany) enabled the detection of triclinic unit cells with GOF(20) = 26.1 and 61.5, for 1 and 2, respectively.The structureless Le Bail whole pattern profile fitting method was used to refine the lattice parameters of the isomorphous 1 and 2 species, evidencing the presence of unavoidable contaminants (perhaps differently hydrated species).Therefore, no structure solution attempt was found to be successful in retrieving a suitable model.

Ab Initio Crystal Structure Solution from X-ray Diffraction Data
An XRPD structure solution of the species 2 phases was performed in space group P-1 using TOPAS-R software with the Monte Carlo/Simulated Annealing technique using a single Eu 3+ ion, rigid models for ClCNAn 2− and DMSO ligands described by the Zmatrix formalism with standard geometrical parameters.It was eventually found that all chlorocyananilate ligands lie on inversion centers with consequent 50:50 Cl/CN disorder.Due to the less-than-ideal quality of the XRPD data, no attempt to determine (static or dynamic) disorder of the DMSO molecules was made.
Final refinements were eventually carried out by the Rietveld method [32], maintaining the rigid bodies introduced at the structure solution stage and the crystallographically imposed symmetries.The background was modelled by a polynomial function of the Chebyshev type; peak profiles were described by the Fundamental Parameters Approach [33] and a common (refinable) isotropic thermal factor was attributed to all atoms.Fractional atomic coordinates and crystal structure details are supplied in the Supplementary Materials.The final Rietveld plot is shown in Figure 7.

Chart 1 .
Potassium chlorocyananilate (left) and coordination mode of the ligand (right).

Chart 1 .
Potassium chlorocyananilate (left) and coordination mode of the ligand (right).

Figure 1 .
Figure 1.Schematic representation of the synthesis of compounds 1 and 2, via the intermedia 1′ and 2′.

Figure 1 .
Figure 1.Schematic representation of the synthesis of compounds 1 and 2, via the intermediacy of 1 and 2 .

Figure 2 .
Figure 2. XRPD raw data (blue line) and Le Bail fits (red line) for polycrystalline 1′ (a) and 2′ (b) species.Difference plot and tick markers are shown in black at the bottom.

Figure 2 .
Figure 2. XRPD raw data (blue line) and Le Bail fits (red line) for polycrystalline 1 (a) and 2 (b) species.Difference plot and tick markers are shown in black at the bottom.

Figure 3 .
Figure 3. (a) Full coordination environment around Tb III ; (b) sketch of the distorted tricapped trigonal prismatic geometry around Tb III (hydrogen and disordered C,S ghosts removed for clarity); (c) view of one pseudo-rectangular cavity in ac plane; (d) view of three consecutive layers stacking parallel to the (a-c) vector.Color code: Tb-dark green; O-red; C-gray; S-yellow; Cl-green; N-blue.

Figure 3 .
Figure 3. (a) Full coordination environment around Tb III ; (b) sketch of the distorted tricapped trigonal prismatic geometry around Tb III (hydrogen and disordered C,S ghosts removed for clarity); (c) view of one pseudo-rectangular cavity in ac plane; (d) view of three consecutive layers stacking parallel to the (a-c) vector.Color code: Tb-dark green; O-red; C-gray; S-yellow; Cl-green; N-blue.

Figure 4 .
Figure 4. (a) The interdigitation of symmetry-related (and heavily corrugated) 2D layers of compound 1.The orientation of the crystal axes (not to scale) is also shown (bottom left).The double arrow addresses the length of the a-c vector (18 Å) corresponding to two corrugated layers; (b) AFM characterization of drop-casted nanosheets of 1: topographic image and, in the inset, cross-sectional height profiles, showing that flat or terraced nanosheets are formed, with ca. 9 Å steps.

Figure 4 .
Figure 4. (a) The interdigitation of symmetry-related (and heavily corrugated) 2D layers of compound 1.The orientation of the crystal axes (not to scale) is also shown (bottom left).The double arrow addresses the length of the a-c vector (18 Å) corresponding to two corrugated layers; (b) AFM characterization of drop-casted nanosheets of 1: topographic image and, in the inset, cross-sectional height profiles, showing that flat or terraced nanosheets are formed, with ca. 9 Å steps.

Figure 5 .
Figure 5. Sketches of the main structural features of 1 CP.(a) A fragment of the CP local environment of the Eu III ions; (b,c) the brick-wall connectivity of a flat slab in 2 the axis normal to the CP extension, and from the side, respectively; (d) the overall c viewed down the a axis, showing that slabs, interacting only through weak van der mostly attributed to the DMSO ligands, stack along b with a ca.9.7 Å periodicity.

Figure 5 .
Figure 5. Sketches of the main structural features of 1 CP.(a) A fragment of the CP, showing the local environment of the Eu III ions; (b,c) the brick-wall connectivity of a flat slab in 2, viewed down the axis normal to the CP extension, and from the side, respectively; (d) the overall crystal packing viewed down the a axis, showing that slabs, interacting only through weak van der Waals contacts mostly attributed to the DMSO ligands, stack along b with a ca.9.7 Å periodicity.

Molecules 2023 ,Figure 6 .
Figure 6.(a) Plot of the χmT product as a function of temperature for 1.(b) In-phase (χ′) and out phase (χ″) dynamic susceptibility for 1 at different frequencies as a function of temperature.

Figure 6 .
Figure 6.(a) Plot of the χmT product as a function of temperature for 1.(b) In-phase (χ ) and out-of-phase (χ ) dynamic susceptibility for 1 at different frequencies as a function of temperature.

Table 2 .
Crystallographic data and details of the refinement procedure for compounds 1 and 2. Formula C 33 H 36 Cl 3 N 3 O 18 S 6 Tb 2 C 33 H 36 Cl 3 Eu 2 N 3 O 18 S 6