Single-Ion Magnet and Photoluminescence Properties of Lanthanide(III) Coordination Polymers Based on Pyrimidine-4,6-Dicarboxylate

: Herein, we report the magnetic and photoluminescence characterization of coordination polymers (CP) built from the combination of lanthanide(III) ions, pyrimidine-4,6-dicarboxylate (pmdc) ligand and a co-ligand with formula {[Dy( µ -pmdc)( µ -ox) 0.5 (H 2 O) 3 ] · 2H 2 O} n 1-Dy ), {[Dy( µ 3 -pmdc)( µ -ox) 0.5 2 O) 2 ~2.33H 2 O} n 2-Dy {[Dy 2 µ 3 -pmdc)( µ 4 -pmdc)( -ox)(H O) 3 O} 3-Dy ), µ 3 -pmdc)( µ -ox) 0.5 (H O) H O} n (where Ln(III) = Nd ( 4-Nd ), Sm ( 4-Sm ), Eu ( 4-Eu ) and Dy ( 4-Dy )) and {[Dy( µ 4 -pmdc)(NO 3 )(H 2 O)] · H 2 O} n ( 5-Dy ). It must be noted the presence of oxalate anion acting as ditopic co-ligand in compounds 1-Dy , 2-Dy , 3-Dy and 4-Ln , whereas in 5-Dy the nitrate anion plays the role of terminal co-ligand. Direct current measurements carried out for the dysprosium-based CPs reveal almost negligible interactions between Dy 3+ ions within the crystal structure, which is conﬁrmed by computed values of the exchange parameters J . In addition, alternating current measurements show ﬁeld-induced single-molecule magnet (SMM) behavior in compounds 1-Dy , 2-Dy , 4-Dy and 5-Dy , whereas slight-frequency dependence is also observed in 3-Dy . Solid state emission spectra performed at room temperature for those compounds emitting in visible region conﬁrm the occurrence of signiﬁcant ligand-to-lanthanide charge transfer in view of the strong characteristic emissions for all lanthanide ions. Emission decay curves were also recorded to estimate the emission lifetimes for the reported compounds, in addition to the absolute quantum yields. Among them, the high quantum yield of 25.0% measured for 4-Eu is to be highlighted as a representative example of the good emissive properties of the materials.


Introduction
The pre-designed synthesis and characterization of coordination polymers (CPs) has clearly become a primary research strategy in order to yield a particular multifunctional material which exhibits good performance in a particular research field by combining multiple physical properties [1,2]. A main reason is derived from the fact that these materials may be oriented to a particular spatial arrangement and topology which better fits the desired property, usually achieved by selecting the appropriate metal ions and organic ligands among an almost infinite bench of combinations [3,4]. In fact, the actual research on these materials is mainly focused on their more classical properties, including adsorption/purification of pollutant or fuel gases [5][6][7][8][9], liquids [10], or drugs, biomolecules delivery in a controlled way [11,12], catalysis [9,13], magnetism [14][15][16] and luminescence [17,18], although very recently it has been also expanding to other yet unexplored novel areas such as molecular sensing [19,20], enantiospecific resolution [21] and spintronics [22]. Among all these interesting properties, magnetism and luminescence have gained an increasing interest due to the potential of CPs to behave as single-molecule magnets (SMMs) [23][24][25][26] and solids-state lighting materials (organic light-emitting diodes, OLEDs) [27], by taking advantage of previous properties, respectively. Inside this sorts of materials, those built up from the coordination of organic ligands to lanthanide(III) ions have shown enormous potential during the last years owing to their particular electronic structure, which being hardly disturbed by the ligand field in the crystal structure, affords the aforementioned properties to the resulting CP [28][29][30][31].
To start with their magnetic properties, once it was corroborated in 2014 by Mínguez-Espallargas et al. with a Ln(III)-based MOF (metal-organic framework) presented SMM behavior [32], the research about the way the magnetic anisotropy is manifested in the MOF's structure was studied in depth in the following years [23]. As is known, SMMs exhibit slow relaxation of the magnetization (SRM) below certain temperature (called blocking temperature, TB) as a consequence of the concurrence of large spin state in the molecule and magnetic anisotropy (usually axial, D; though other distributions such as plane anisotropy are also known, E). Paramagnetic lanthanide(III) ions usually present a large magnetic moment and sizeable single-ion anisotropy derived from spin-orbit coupling (soc) effect [29,33] that varies according to nature and symmetry of their local environment, in such a way that they may lead to astonishing energy barriers which impede the reversal of the magnetization in the compound [34]. On another level, the use of these metal centers is often compatible with the occurrence of luminescence on the CPs, given f-f based intraionic emissions can occur in lanthanide-organic frameworks (Ln-OFs) provided that inner levels of lanthanides(III) keep undistorted by the molecular ligand-based electronic structure [35,36]. Moreover, although the light-absorbing capacity of these metal ions is quite low due to their narrow absorption bands (despite the high intensity of many bands in the ultraviolet (UV) region), their coordination to organic ligands may largely improve this problem by means of the antennae effect, by which the energy absorbed by the ligand is transferred from its excited triplet state to an excited Ln(III)-based inner state from which the emissive state is eventually populated [37,38].
Bearing these ideas in mind, together with the fact that Ln-OFs require the use of ligands that are able to not only isolate lanthanide(III) centers from each other in the network to bring SRM but also provide both good light absorption and effective transfers to the lanthanide(III), we have turned to pyrimidine-4,6-dicarboxylate (pmdc) [39]. As previously proved by our group [40,41], this ligand fulfills both requisites by presenting low capacity to set magnetic exchange interactions among lanthanide(III) centers while it brings good absorption capacity. Therefore, in this study we undertake a detailed analysis of the single-ion magnet and photoluminescent properties of Ln-pmdc based compounds to evaluate their potential in the field of magneto-luminescent functional materials.

Brief Structural Overview
There are five different crystalline families of coordination polymers described in this work, which consist of lanthanide(III) ions, pmdc ligand and a co-ligand that changes for a particular family. In particular, the co-ligand is oxalate for compounds 1-Dy, 2-Dy, 3-Dy and 4-Ln because it is in situ generated in the reaction media (as part of a well-known ringopening concomitant reaction that happens in aqueous mixtures containing lanthanide(III) ions in acidic pH and open atmosphere, observed not only for pmdc ligand but also for many other similar aromatic molecules) [42] and thus incorporated to the final products.
Despite the fact that oxalate ligand shares a unique coordination pattern in all compounds (the most habitual bis-bidentate mode as expected for its large affinity to lanthanide(III) ions according to the Hard-Soft Acid-Base (HSAB) principle) [43], pmdc ligand shows a variable coordination flexibility that depends on the entropy driven desolvation pathway [44,45]. In this sense, lanthanide(III) ions coordinate to less water molecules as the temperature of hydrothermal reaction rises, in such a way that the vacant positions in the coordination shell are more easily occupied by carboxylate oxygen atoms belonging to the pmdc ligand. Hence, pmdc ligand increases its denticity moving from the basal bis-chelating mode (µ-κ 2 N,O:κ 2 N',O') in 1-Dy to other highly coordinating modes (µ 3 -κ 2 N,O:κ 2 N',O':κO" in 2-Dy, 3-Dy and 4-Ln and µ 4 -κ 2 N,O:κ 2 N',O':κO":κO"' in 5-Dy) as the temperature rises. The aforementioned effect is also noticed by the presence of less water molecules (including coordination and crystallization molecules) per lanthanide(III) atom enclosed in the crystal packings of the CPs, which eventually generates more condensed frameworks (1-Dy < 2-Dy < 3-Dy < 4-Ln) with the increasing synthesis temperature. It is worth highlighting that all these coordination modes share the occurrence of two N/O-chelating rings, a fact that forces the ligand to acquire a planar arrangement. In fact, this may be taken as a characteristic fact of pmdc ligand because such preponderant coordination mode is only prevented when a bulky substituent is present in the ligand such as the phenyl ring in ppmdc (2-phenylpyrimidine-4,6-dicarboxylic acid), in which the coordination through the nitrogen atoms is hindered in the CP of {[Eu(ppmdc)(phen)(C 2 O 4 ) 0.5 ]·0.5H 2 O} n formula [46].
On the other hand, compound 5-Dy possesses nitrate anions as co-ligand due to the solvent-free procedure employed for its synthesis. In this case, the reagents (dysprosium(III) nitrate hydrate and H 2 pmdc) are directly mixed and heated at 190 • C in a closed vessel, such that the melt formed is very rich in nitrate ions and yield single crystals in which those anions are able to compete with water molecules for occupying coordination sites.
Apart from the structures included in this work, it must be mentioned that pmdc ligand is able to render some additional crystalline compounds with most of lanthanide ions involving no additional linkers, namely {[Ln(µ-pmdc) 1.5 (H 2 O) 3 ]·xH 2 O} n (where x = 5.5-6.5 depending on the metal ion) and {[Ln 2 (µ 4 -pmdc) 2 (µ-pmdc)(H 2 O) 2 ]·H 2 O} n CPs [47], in addition to the MOF of {[Eu(µ 4 -pmdc) 2 (µ 3 -OH) 2 ]·3H 2 O} n formula [48] in which hydroxide anion acts a co-ligand. In both cases, the compounds are synthesized starting from aqueous solutions with basic pH under solvothermal conditions, a medium that avoids the aforementioned spontaneous generation of oxalate [42] in such a way that these alternative frameworks are crystallized.

Structural Description
A detailed structural description of most of the compounds, except for compounds 4-Ln (whose crystallographic data are summarized in Table S1), has been already done in previously reported works [40,41], so their structural description will be briefly discussed. Compound 1-Dy crystallizes in the monoclinic P2 1 /n space group with {[Dy(µ-pmdc) (µ-ox) 0.5 (H 2 O) 3 ]·2H 2 O} n formula as part of a family of other isostructural homologues with other lanthanide(III) ions. The Dy atom is linked to two pmdc ligands, one oxalate anion and three water molecules, rendering a nine-coordinated N 2 O 4 Ow 3 donor set which can be described as a spherical capped square antiprism (CSAPR) polyhedron (S CSAPR = 0.806, see Supporting information, Table S2) as depicted by the continuous shape measurements (CShMs) using the SHAPE program [49]. The metal centers are linked by planar bis-bidentate pmdc ligands into a corrugated chain along the crystallographic b axis, in which an intermetallic distance of ca. 7.24 Å is imposed. Moreover, the adjacent chains are joined to one another by the bis-chelating oxalate anion, which separates the dysprosium atoms at ca. 6.14 Å and gives rise to 2D sheets of hcb topology that spread along the (101) plane. The successive planes are connected into the 3D packing by means of hydrogen bonds established between the coordinated water molecules and uncoordinated oxygen atoms of pmdc ligands belonging to adjacent sheets ( Figure 1). Moreover, lattice water molecules placed between sheets take part into additional hydrogen bonding interactions with the 2D metal-organic sheets, which reinforces the overall crystal structure. For comparative purposes, this framework resembles the isoreticular architecture shown by the oxalate-free compound of {[Dy(µpmdc) 1.5 (H 2 O) 3 ]·5.5H 2 O} n formula in which the oxalate bridge is replaced by an additional bis-chelating pmdc linker yields a similar 2D-layered structure [47]. In fact, the most significant change of 1-Dy with respect to {[Dy(µ-pmdc) 1.5 (H 2 O) 3 ]·5.5H 2 O} n is the slight change occurring in the network as result of replacement a µ-ox by a µ-pmdc, with the subsequent enlargement in the Dy···Dy distance of ca. 1 Å (from ca. 6.1 to 7.3 Å). of hcb topology that spread along the (101) plane. The successive planes are connected into the 3D packing by means of hydrogen bonds established between the coordinated water molecules and uncoordinated oxygen atoms of pmdc ligands belonging to adjacent sheets ( Figure 1). Moreover, lattice water molecules placed between sheets take part into additional hydrogen bonding interactions with the 2D metal-organic sheets, which reinforces the overall crystal structure. For comparative purposes, this framework resembles the isoreticular architecture shown by the oxalate-free compound of {[Dy(μpmdc)1.5(H2O)3]·5.5H2O}n formula in which the oxalate bridge is replaced by an additional bis-chelating pmdc linker yields a similar 2D-layered structure [47]. In fact, the most significant change of 1-Dy with respect to {[Dy(μ-pmdc)1.5(H2O)3]·5.5H2O}n is the slight change occurring in the network as result of replacement a μ-ox by a μ-pmdc, with the subsequent enlargement in the Dy···Dy distance of ca. 1 Å (from ca. 6.1 to 7.3 Å). Being crystallized in the P21/n space group, the titled compound 2-Dy presents the {[Dy(μ3-pmdc)(μ-ox)0.5(H2O)2] ~2.33H2O}n formula and shows a similar structure to that of 1-Dy, but with one of the coordinated water molecules being replaced by a non-chelating oxygen atom of the pmdc ligand (which was uncoordinated in 1-Dy), a fact that increases the dimensionality of the structure to give rise to a 3D framework. Hence, in the core of the building crystal, the dysprosium atom shows a N2O5Ow2 donor set coming from two symmetrically related pmdc ligands, a centrosymmetric oxalate anion and two coordinated water molecules ( Figure 2). Distances between dysprosium and donor atoms in the coordination center are listed in Table S3. This replacement in the coordination sphere increases the distortion of the coordination polyhedron with regard to the previously analyzed ideal geometry, in such a way that the environment of Dy1 atom in 2-Dy corresponds to an intermediate between CSAPR and spherical tricapped trigonal prism (TCTPR) as shown by the CShMs (SCSAPR = 0.828 and STCTPR = 0.738, Table S2). Despite the similar connection shown for 1-Dy, the rearrangement of the coordination sphere promotes some distance changes between metal centers (Dy···Dy distance is 7.03 Å between for pmdc bridging centers and 6.23 Å for oxalate bridging centers, respectively). Moreover, the μ3-κN,O:κN',O':κO'' coordination mode displayed by the pmdc ligand in 2-Dy yields an open 3D framework of ins topology (it is a bimodal network because not only lanthanide but also the pmdc ligand act as nodes). Solvent water molecules are placed in the channels of the architecture by bringing irregular patterns owing to the crystallographic modulation (the structure is more precisely described as a 1 × 1 × 3 supercell) existing in the structure which, in any case, does not affect the already described overall crystal architecture ( Figure 2). Being crystallized in the P2 1 /n space group, the titled compound 2-Dy presents the {[Dy(µ 3 -pmdc)(µ-ox) 0.5 (H 2 O) 2 ]~2.33H 2 O} n formula and shows a similar structure to that of 1-Dy, but with one of the coordinated water molecules being replaced by a non-chelating oxygen atom of the pmdc ligand (which was uncoordinated in 1-Dy), a fact that increases the dimensionality of the structure to give rise to a 3D framework. Hence, in the core of the building crystal, the dysprosium atom shows a N 2 O 5 Ow 2 donor set coming from two symmetrically related pmdc ligands, a centrosymmetric oxalate anion and two coordinated water molecules ( Figure 2). Distances between dysprosium and donor atoms in the coordination center are listed in Table S3. This replacement in the coordination sphere increases the distortion of the coordination polyhedron with regard to the previously analyzed ideal geometry, in such a way that the environment of Dy1 atom in 2-Dy corresponds to an intermediate between CSAPR and spherical tricapped trigonal prism (TCTPR) as shown by the CShMs (S CSAPR = 0.828 and S TCTPR = 0.738, Table S2). Despite the similar connection shown for 1-Dy, the rearrangement of the coordination sphere promotes some distance changes between metal centers (Dy···Dy distance is 7.03 Å between for pmdc bridging centers and 6.23 Å for oxalate bridging centers, respectively). Moreover, the µ 3 -κN,O:κN',O':κO" coordination mode displayed by the pmdc ligand in 2-Dy yields an open 3D framework of ins topology (it is a bimodal network because not only lanthanide but also the pmdc ligand act as nodes). Solvent water molecules are placed in the channels of the architecture by bringing irregular patterns owing to the crystallographic modulation (the structure is more precisely described as a 1 × 1 × 3 supercell) existing in the structure which, in any case, does not affect the already described overall crystal architecture ( Figure 2).
Compound 3-Dy, obtained as a polycrystalline powder, corresponds to a family of isostructural CPs of {[Ln 2 (µ 3 -pmdc)(µ 4 -pmdc)(µ-ox)(H 2 O) 3 ]·5H 2 O} n formula ( Figure S1). These compounds crystallize in the non-centrosymmetric Pna2 1 space group and show a crystal structure related to that of 2-Dy because it also exhibits a 3D open framework. However, in 3-Dy there are two crystallographic independent metal centers, one of which (Ln1) shows the previously specified LnN 2 O 5 Ow 2 coordination environment, whereas in the second center (Ln2) one of the coordinated water molecules is replaced by an oxygen of pmdc ligand, thus displaying a LnN 2 O 6 Ow coordination environment ( Figure 3). Despite the fact that no further details on the coordination environment can be given for the dysprosium counterpart, based on the Gd analogue, it may be concluded that the larger connectivity afforded by pmdc brings an increased distortion in the metal center (S TCTPR = 1.074 and S CSAPR = 0.587 for Ln 1 and Ln 2, respectively). The linkage of the metal centers by the highly connected pmdc ligands gives rise to a three-dimensional architecture that possesses the jcr1 topology and exhibits tubular channels along the crystallographic a axis, which are filled by lattice water molecules. Putting aside the specific topology of shown by this framework, it shares strict structural relationship with the previously reported oxalate-free CP of {[Dy 2 (µ 4 -pmdc) 2 (µ-pmdc)(H 2 O) 2 ]·H 2 O} n formula [47], since the latter may be considered as the next step to bring higher metal-organic connectivity in the 3D framework. In the same way as was explained for the 1-Dy ↔ 2-Dy pair, the aforementioned oxalate-free CP may be considered the result of a subsequent replacement of a coordination water molecule by a non-chelating carboxylate oxygen atom of pmdc ligand in the architecture of 3-Dy, a fact that is only achieved in the absence of oxalate ligand, in such a way that pmdc linker can accommodate the required arrangement in the framework to increase its coordination to dysprosium(III) ions. Compound 3-Dy, obtained as a polycrystalline powder, corresponds to a family of isostructural CPs of {[Ln2(μ3-pmdc)(μ4-pmdc)(μ-ox)(H2O)3]·5H2O}n formula ( Figure S1). These compounds crystallize in the non-centrosymmetric Pna21 space group and show a crystal structure related to that of 2-Dy because it also exhibits a 3D open framework. However, in 3-Dy there are two crystallographic independent metal centers, one of which (Ln1) shows the previously specified LnN2O5Ow2 coordination environment, whereas in the second center (Ln2) one of the coordinated water molecules is replaced by an oxygen of pmdc ligand, thus displaying a LnN2O6Ow coordination environment ( Figure 3). Despite the fact that no further details on the coordination environment can be given for the dysprosium counterpart, based on the Gd analogue, it may be concluded that the larger connectivity afforded by pmdc brings an increased distortion in the metal center (STCTPR = 1.074 and SCSAPR = 0.587 for Ln 1 and Ln 2, respectively). The linkage of the metal centers by the highly connected pmdc ligands gives rise to a three-dimensional architecture that possesses the jcr1 topology and exhibits tubular channels along the crystallographic a axis, which are filled by lattice water molecules. Putting aside the specific topology of shown by this framework, it shares strict structural relationship with the previously reported oxalate-free CP of {[Dy2(μ4-pmdc)2(μ-pmdc)(H2O)2]·H2O}n formula [47], since the latter may be considered as the next step to bring higher metal-organic connectivity in the 3D framework. In the same way as was explained for the 1-Dy ↔ 2-Dy pair, the aforementioned oxalate-free CP may be considered the result of a subsequent replacement of a coordination water molecule by a non-chelating carboxylate oxygen atom of pmdc ligand in the architecture of 3-Dy, a fact that is only achieved in the absence of oxalate ligand, in such a way that pmdc linker can accommodate the required arrangement in the framework to increase its coordination to dysprosium(III) ions.  Compounds 4-Ln are all isostructural as confirmed by the single-crystal X-ray diffraction measurements for compounds 4-Nd, 4-Sm and 4-Eu and by the PXRD data analysis of a polycrystalline sample of 4-Dy ( Figure S2). They crystallize in the P21/n crystallographic space group and belong to the previously reported family with {[Ln(μ3pmdc)(μ-ox)0.5(H2O)2]·H2O}n (Ln = La and Ce) formula [40]. The crystal structure is very similar to 2-Dy, since it shows an almost identical 3D framework of the same topological class but which differs in the number of lattice molecules, being dropped to solely one. Accordingly, there are no significant changes in the coordination sphere, which keeps the LnN2O5Ow2 chromophore that resembles CSAPR (Table S2). Further analysis of these structures reveal that their coordination shell is less distorted as the ion size of the lanthanide gets smaller, as confirmed by CShMs (STCTPR = 0.955, 0.889 and 0.845 respectively for Nd 3+ , Sm 3+ , and Eu 3+ ), although the distortion is still higher than that found for compound 1-Dy. The distances between metal centers and donor atoms are listed in Table S3. To end Compounds 4-Ln are all isostructural as confirmed by the single-crystal X-ray diffraction measurements for compounds 4-Nd, 4-Sm and 4-Eu and by the PXRD data analysis of a polycrystalline sample of 4-Dy ( Figure S2). They crystallize in the P2 1 /n crystallographic space group and belong to the previously reported family with {[Ln(µ 3 -pmdc)(µ-ox) 0.5 (H 2 O) 2 ]·H 2 O} n (Ln = La and Ce) formula [40]. The crystal structure is very similar to 2-Dy, since it shows an almost identical 3D framework of the same topological class but which differs in the number of lattice molecules, being dropped to solely one. Accordingly, there are no significant changes in the coordination sphere, which keeps the LnN 2 O 5 Ow 2 chromophore that resembles CSAPR (Table S2). Further analysis of these structures reveal that their coordination shell is less distorted as the ion size of the lanthanide gets smaller, as confirmed by CShMs (S TCTPR = 0.955, 0.889 and 0.845 respectively for Nd 3+ , Sm 3+ , and Eu 3+ ), although the distortion is still higher than that found for compound 1-Dy. The distances between metal centers and donor atoms are listed in Table S3. To end up with the description of these structures, it must be highlighted that the loss of the water molecules results in a contraction of the framework, which presents no continuity of accessible voids for solvent molecules (that is, channels) and, therefore, a more compacted crystal building ( Figure 4). Compounds 4-Ln are all isostructural as confirmed by the single-crystal X-ray diffraction measurements for compounds 4-Nd, 4-Sm and 4-Eu and by the PXRD data analysis of a polycrystalline sample of 4-Dy ( Figure S2). They crystallize in the P21/n crystallographic space group and belong to the previously reported family with {[Ln(μ3pmdc)(μ-ox)0.5(H2O)2]·H2O}n (Ln = La and Ce) formula [40]. The crystal structure is very similar to 2-Dy, since it shows an almost identical 3D framework of the same topological class but which differs in the number of lattice molecules, being dropped to solely one. Accordingly, there are no significant changes in the coordination sphere, which keeps the LnN2O5Ow2 chromophore that resembles CSAPR (Table S2). Further analysis of these structures reveal that their coordination shell is less distorted as the ion size of the lanthanide gets smaller, as confirmed by CShMs (STCTPR = 0.955, 0.889 and 0.845 respectively for Nd 3+ , Sm 3+ , and Eu 3+ ), although the distortion is still higher than that found for compound 1-Dy. The distances between metal centers and donor atoms are listed in Table S3. To end up with the description of these structures, it must be highlighted that the loss of the water molecules results in a contraction of the framework, which presents no continuity of accessible voids for solvent molecules (that is, channels) and, therefore, a more compacted crystal building (Figure 4).   Table  S2), which can be considered as a less symmetric shape. Note that the calculated geometry was obtained for the Gd-analogue [41], whose geometry is not expected to be significantly different from compound 5-Dy. The presence of the nitrate anion in the coordination shell, compared to the oxalate, drops the connectivity of the co-ligand, though this fact is taken as an advantage by pmdc ligand because it links to four metal centers by acquiring the µ 4 -κN,O:κN',O':κO":κO"' coordination mode previously seen in compound 3-Dy. Hence, pmdc ligands bridge dysprosium ions one another by building a kind of triangle-shaped building units which are further linked into the resulting 3D framework that belongs to the ssa topology. The architecture possesses tubular channels occupied by lattice water molecules ( Figure 5). At last, compound 5-Dy crystallizes in the hexagonal P63 space group and possesses the {[Dy(μ4-pmdc)(NO3)(H2O)]·H2O}n formula. In this case, the coordination around the central lanthanide(III) atom is completed by the N2O6Ow donor set, which is formed by two N/O-chelating pmdc ligands, two O-terminal pmdc ligands, a chelating nitrate anion and a water molecule. The resulting polyhedron resembles a muffin (SMFF = 0.410, see Table S2), which can be considered as a less symmetric shape. Note that the calculated geometry was obtained for the Gd-analogue [41], whose geometry is not expected to be significantly different from compound 5-Dy. The presence of the nitrate anion in the coordination shell, compared to the oxalate, drops the connectivity of the co-ligand, though this fact is taken as an advantage by pmdc ligand because it links to four metal centers by acquiring the μ4-κN,O:κN',O':κO'':κO''' coordination mode previously seen in compound 3-Dy. Hence, pmdc ligands bridge dysprosium ions one another by building a kind of triangle-shaped building units which are further linked into the resulting 3D framework that belongs to the ssa topology. The architecture possesses tubular channels occupied by lattice water molecules ( Figure 5).

Static Magnetic Properties
The analysis of the variable-temperature evolution of the molar magnetic susceptibility (χM) of the dysprosium-based counterparts, previously measured and reproduced here ( Figure 6) [40,41], indicates that these compounds present a usual magnetic behavior dominated by the spin-orbit coupling (soc) of the paramagnetic ions. According to this,

Static Magnetic Properties
The analysis of the variable-temperature evolution of the molar magnetic susceptibility (χ M ) of the dysprosium-based counterparts, previously measured and reproduced here ( Figure 6) [40,41], indicates that these compounds present a usual magnetic behavior dominated by the spin-orbit coupling (soc) of the paramagnetic ions. According to this, the χ M T product at room temperature per one dysprosium(III) atom is ca. 14 cm 3 K mol −1 , close to the expected one for an isolated Dy(III) with a g J of 1.25. All curves describe a similar shape by which the χ M T product shows a slight and progressive drop cooling down from room temperature down to 50 K, below which it describes a subtle drop to reach a value of ca.  Perhaps, in the general comparison the curve of compound 5-Dy is the most remarkable one because it significantly differs from the rest in the following aspects: (i) it shows a slightly lower value of χMT at room temperature, (ii) the value of χMT remains more constant in the high temperature range (100-300 K) compared to the rest of compounds and more importantly, (iii) the drop at low temperature is not as abrupt as for previous compounds. Taking into account that Dy(III) is a Kramers ion with a 6 H15/2 ground term, the coordination shell can induce a different distribution of the Stark sublevels of the ion, thus influencing the magnetization resulting from the thermal depopulation occurring when lowering the temperature [50]. Therefore, such a conclusion should involve a multiconfigurational calculation on all the environments of the compounds, and the slightly higher remnant value of the magnetic susceptibility for 5-Dy could be attributed to a larger axial magnetic anisotropy in this compound compared to the oxalate-based ones. The M(H) isothermal measurements carried out at 2 K for the compounds point indeed in the same direction, since the curve for 5-Dy exhibits a more abrupt increase and slightly larger value of magnetization compared to the rest of the compounds. These values are of ca. 6 NμB, which is a bit lower that the expected saturation value.

Dynamic Magnetic Properties
In order to study the SMM behavior, alternative current (ac) measurements were performed with the temperature and frequency range of 2-20 K and 60-10,000 Hz respectively, over polycrystalline samples of compounds 1-Dy, 2-Dy, 3-Dy, 4-Dy and 5-Dy in the absence and the presence of an external applied magnetic field. With no external field, none of the compounds present signal in the χ'' vs. T plot, probably due to the fast relaxation through quantum tunneling of the magnetization (QTM) process. When the measurements were repeated with and external direct current (dc) field of 1000 Oe in order to suppress the QTM, compounds 1-Dy, 2-Dy, 4-Dy and 5-Dy present temperature and frequency dependent maxima in the out-of-phase curves, indicating a slow relaxation of the magnetization (Figure 8). For compound 3-Dy however, there is no a significant frequency dependency of the out-of-phase signal above 2 K (Figure S3), which could be attributed to either the fact that the external field does not suppress the QTM or to a very small thermal energy barrier in which the maxima appear under the detection limit of the apparatus, thus impeding any further study. Perhaps, in the general comparison the curve of compound 5-Dy is the most remarkable one because it significantly differs from the rest in the following aspects: (i) it shows a slightly lower value of χ M T at room temperature, (ii) the value of χ M T remains more constant in the high temperature range (100-300 K) compared to the rest of compounds and more importantly, (iii) the drop at low temperature is not as abrupt as for previous compounds. Taking into account that Dy(III) is a Kramers ion with a 6 H 15/2 ground term, the coordination shell can induce a different distribution of the Stark sublevels of the ion, thus influencing the magnetization resulting from the thermal depopulation occurring when lowering the temperature [50]. Therefore, such a conclusion should involve a multiconfigurational calculation on all the environments of the compounds, and the slightly higher remnant value of the magnetic susceptibility for 5-Dy could be attributed to a larger axial magnetic anisotropy in this compound compared to the oxalate-based ones. The M(H) isothermal measurements carried out at 2 K for the compounds point indeed in the same direction, since the curve for 5-Dy exhibits a more abrupt increase and slightly larger value of magnetization compared to the rest of the compounds. These values are of ca. 6 Nµ B , which is a bit lower that the expected saturation value.

Dynamic Magnetic Properties
In order to study the SMM behavior, alternative current (ac) measurements were performed with the temperature and frequency range of 2-20 K and 60-10,000 Hz respectively, over polycrystalline samples of compounds 1-Dy, 2-Dy, 3-Dy, 4-Dy and 5-Dy in the absence and the presence of an external applied magnetic field. With no external field, none of the compounds present signal in the χ" vs. T plot, probably due to the fast relaxation through quantum tunneling of the magnetization (QTM) process. When the measurements were repeated with and external direct current (dc) field of 1000 Oe in order to suppress the QTM, compounds 1-Dy, 2-Dy, 4-Dy and 5-Dy present temperature and frequency dependent maxima in the out-of-phase curves, indicating a slow relaxation of the magnetization (Figure 8). For compound 3-Dy however, there is no a significant frequency dependency of the out-of-phase signal above 2 K ( Figure S3), which could be attributed to either the fact that the external field does not suppress the QTM or to a very small thermal energy barrier in which the maxima appear under the detection limit of the apparatus, thus impeding any further study. When a dc field of 1000 Oe is applied, compounds 1-Dy, 4-Dy and 5-Dy show frequency dependent maxima with the appearance of small shoulders at low temperatures, suggesting the QTM is still operating. The Cole-Cole plots generated for the corresponding compounds show semi-circular shapes that fit well the generalized Debye model ( Figures  S8 and S9), affording α values in the range of 0.5-0.1. Note that α parameter determine the width of the different relaxation processes, meaning that α = 1 stands for infinitely wide relaxation processes whereas α = 0 indicates a narrow relaxation processes. The obtained values indicates the existence of more than one relaxation mechanism, especially in the low temperature regime. In fact, the Arrhenius plots in the form of ln(τ) versus 1/T (selecting the temperature range according to the Cole-Cole plots) feature a curvilinear shape that only retains linear behavior in the high temperature region, which was fitted according to the Arrhenius law (Orbach process, in which the obtained U eff and τ 0 values are represented in Table 1) [Equation (1)]. Besides the thermally activated Orbach relaxation mode, compounds 1-Dy and 4-Dy require the inclusion of the QTM process to correctly reproduce the low temperature range, whereas a combination of Orbach and Raman relaxations were employed to fit the temperature-dependent representation of the relaxation times for 5-Dy, yet the presence of QTM cannot be discarded in the low temperature region in this case. Best fits parameters (which were obtained with low errors and R 2 lower than 9.0 × 10 -3 ) are listed in Table 1.  In the case of compound 2-Dy, two clearly distinguishable maxima can be observed in the χ" vs. T plot (Figure 8), peaking in the 2-2.6 K and 3-3.8 K temperature ranges, which may be considered as a two-step relaxation, for which they are denoted as fast (FR) and slow (SR) relaxation processes, respectively. Although the occurrence of these sorts of multiple relaxations is not completely understood and different origins have been already argued to explain it (two distinct Dy(III) ions in the network, a concomitance of singleion and extended exchange interactions, or a combination of single-ion and long-range magnetic orderings, among others) [51][52][53], the crystalline modulation exhibited by 2-Dy at low temperature (in which the structure possesses a commensurate order that accounts for a 1 × 1 × 3 supercell) may explain the occurrence of non-equivalent relaxations in neighboring Dy(III) ions. The dual relaxation is also observed in the Cole-Cole plots in the 2.4-2.8 K region (see ESI, Figure S6, where a combination of two semicircles is appreciated. The data were fitted by using a sum of two modified Debye functions with the CCFIT software (Table S4) [54]. Once the contribution of its thermal relaxation was successfully separated, they were plotted into composed Arrhenius plots and fitted to the Orbach mechanism according to Equation (1) (Figure 8). Best fit values for the effective energy barrier of spin reversal and τ 0 are also gathered in Table 1. According to the extracted α values for the SR process, it may be surmised that more than one mechanism is involved. However, a reliable fit could not be obtained by considering multiple mechanisms.
It is widely known that the SMM behavior is strongly dependent on the coordination environment [55]. Moreover, the non spherical orbitals shape of lanthanides requires specific coordination sites in order to reduce or minimize electrostatic repulsions and stabilize the ligand field. In this way, the oblate Dy(III) ion requires the coordination of the ligands in axial positions instead of the equatorial positions to achieve high performance SMM [56]. Herein, all the studied compounds can be regarded as spherical capped square antiprism polyhedra, which possess donor atoms in both equatorial and axial positions. Thus, the reported compounds are far away from the ideal geometries of Dy(III) for achieving high energy barriers and therefore, the absence of SMM behavior at zero dc field is not unexpected. Looking at the geometry of the coordination sphere and the obtained energy barriers for compounds 1-Dy, 2-Dy, 4-Dy and 5-Dy, the most distorted geometry found in 2-Dy shows the modest energy barrier, whereas the highest energy barrier is found for the most ideal geometry present in compound 1-Dy. This fact points out that the larger the deviation of the coordination polyhedron with respect to ideal geometry the lower the value of U eff , which is a consequence of the increase in the quantum tunneling process as already seen in previously reported works [57,58]. It must be remarked the case of compound 5-Dy, in which despite the fact that the spherical capped square antiprism geometry is more distorted than for compound 1-Dy (see Table S2), it presents a higher energy barrier for the reversal of the magnetization. This fact is related to the replacement of the oxalate for the nitrate anion. Taking into account that both co-ligands are located in the equatorial positions of their respective compounds, whose orientation of the magnetic moment has been confirmed using Chilton's electrostatic model ( Figure S10) [59], the lower donor capacity of the nitrate compared to oxalate tends to better stabilize the ligand field and, therefore, a higher U eff value is achieved as previously seen for others Dy-SMM [60,61].

Photoluminescence Properties
The photoluminescence properties of the dysprosium(III)-based compounds as well as of the 4-Sm and 4-Eu were characterized in the solid state on polycrystalline samples with the aim of exploring the multifunctional character of the CPs. As previously mentioned, the photoluminescence properties of lanthanide(III)-based CPs depend to a large extent on the capacity of the ligands to promote the antenna effect, by which the lanthanide(III) ion provides bright or weak emission. To start with, emission spectra of the Dy(III) counterparts were analyzed using a monochromatic LASER light (λ ex = 325 nm) at room temperature. Despite the fact that all compounds share the occurrence of pmdc ligands, they present significantly different emission spectra due to a non-equivalent energy transfer from the ligand's excited states to excited intraionic levels of Dy(III) (Figure 9). In any case, two types of emission are distinguished in all cases: (i) a first wide and intense band peaking at 410 nm that is ascribed to the ligands emission, by comparison to the previously reported isostructural 3-Eu and 3-Tb counterparts [40], which is followed by (ii) the characteristic bands of Dy(III) based on its intraionic transitions. Among all compounds, the emission of 1-Dy is the most different, since the ligand-based band dominates the spectrum while only two weak Dy-based signals, peaking at 480 and 575 nm respectively for 4 F 9/2 → 6 H 15/2 and 4 F 9/2 → 6 H 13/2 transitions, are observed. Conversely, the rest of compounds (2-Dy, 3-Dy, 4-Dy and 5-Dy) exhibit much intense Dy-based emissions compared to the initial more energetic ligand-based emission, indicating that the antenna effect takes place effectively on them. It is worth noting that four multiplets are observed in all these cases, with their maxima centred on 480 (for 4 F 9/2 → 6 H 15/2 ), 575 (for 4 F 9/2 → 6 H 13/2 ), 660 (for 4 F 9/2 → 6 H 11/2 ) and 755 (for 4 F 9/2 → 6 H 9/2 ) nm, among which the second one is the most intense in all cases and the third and fourth are quite weak. This pattern represents the most habitual scenario for Dy-based complexes and CPs, almost irrespective to the employed ligands [62,63]. Focusing on the main Dy-based emission (λ em ≈ 575 nm), the excitation spectra performed on the compounds offer a similar situation about the ligandto-Dy energy transfer except for 5-Dy (see ESI, Figure S11). In detail, all spectra share the presence of a wide band, ascribed to ligand excitation and peaking at 300 nm, accompanied by a series of discrete maxima corresponding to direct intraionic excitations, which are clearly less intense than the first wide ligand-based band in compounds 2-Dy, 3-Dy, 4-Dy and of similar intensity for compound 1-Dy, whereas they clearly dominate the spectrum of 5-Dy. This fact confirms that an effective antennae effect may be expected for 2-Dy, 3-Dy, 4-Dy but the much lower for 1-Dy, meanwhile no significant transfer could happen for 5-Dy (in which the wide band is hardly observed). With this conclusion in mind, the fact that Dybased emissions (λ em ≈ 480 and 575 nm) are stronger for 5-Dy than 1-Dy must be attributed to the higher cross-section of the 5 P 7/2 ← 6 H 9/2 (λ ex ≈ 326 and 328 nm respectively for 5-Dy than 1-Dy) transition due to a higher overlap with the monochromatic laser excitation (λ ex ≈ 325 nm). In any case, the fact that non-planar background is also observed for 5-Dy, attributed to the ligand-based wide band covering the 350-600 nm range, does not allow one to discard the occurrence of substantial ligand-mediated excitation occurring in this compound. The analysis of the decay curves measured ( Figure S13) on the samples by means of the following exponential expression [Equation (2)] allowed us to estimate the emission lifetimes occurring from the excited 4 F9/2 term of Dy(III) for these compounds (Table 2).
(2) The analysis of the decay curves measured ( Figure S13) on the samples by means of the following exponential expression [Equation (2)] allowed us to estimate the emission lifetimes occurring from the excited 4 F 9/2 term of Dy(III) for these compounds (Table 2).
[I t = A 0 + A 1 exp(−t/τ 1 ) + A 2 exp(−t/τ 2 )] (2) As observed from these data, the emission lifetime does not show very dramatic changes with the replacement of ligands in the coordination sphere. Among them, it is worth highlighting that 5-Dy presents the highest emission Quantum Yield (QY) among all compounds, an enhancement that could have different origins. On the one hand, it seems quite reasonable that, consisting of purer Dy-based luminescence (following an intraionic excitation and subsequent emission involving the antennae effect to a lower extent, as pointed out before), the large QY could be explained by the less non-radiative loss happening in comparison to the pathway followed in the rest of compounds, where the excitation energy occurs mainly on the ligands and is transferred to Dy(III) centers, which probably involves higher non-radiative losses. The short lifetime observed for 5-Dy over the rest of compounds (with lifetimes of ca. 7 µs) point out in the same direction. On the other hand, the larger QY observed for 5-Dy may be also explained by the presence of nitrate anions acting as a coligands. Though no further analysis could be done on this issue, it may be speculated that the exchange of water molecules by a nitrate ligand in the coordination shell could better isolate the 4 F 9/2 emissive levels of Dy(III) ions from the vibrational quenching in the network, at least regarding the vibrations associated with the ligands. In this respect, coordination water molecules contain O-H bonds, known to act as effective quenchers of Ln(III) centered luminescence [64][65][66], whereas O-N vibrations are not easily coupled to energy gaps occurring in the lanthanide ion (for the emissive transitions). Therefore, the least intense emission observed in 1-Dy may be also related to the vibrational quenching being larger in this case owing to the higher amount of coordination water molecules (3 per Dy ion) compared to the rest of the structures.
When 4-Sm is exited with a 325 nm laser, a broad band at low wavelengths is observed which can be assigned to the ligand emission, followed by the characteristic emission bands for intraionic 6 H J ← 4 G 5/2 (J = 5/2, 7/2, 9/2 and 11/2) transitions of Sm(III) ion centered at 560, 595, 645 and 705 nm ( Figure 10). Under the same conditions, 4-Eu does not show any emission below 580 nm, which is indicative of a highly efficient energy transfer from the pmdc ligand to the excited intraionic Eu(III) ion excited levels. At higher wavelengths, five groups of signals are observed centered at 580, 593, 618, 650 and 698 nm corresponding to the intraionic 7 F J ← 5 D 0 (J = 0, 1, 2, 3 and 4) transitions in the visible range spectrum ( Figure 10). Recorded excitation spectra at the main emission wavelength for compounds 4-Sm (λ em ≈ 596 nm) and 4-Eu (λ em ≈ 618 nm) are in line with the Dy counterpart, with a wide band identified as the excitation of pmdc ligand, followed by several narrow peaks for intraionic excitations of the corresponding lanthanides ( Figure S12). Note the high intensity band shown by 4-Eu, a fact that points out the efficient antenna effect. of signals are observed centered at 580, 593, 618, 650 and 698 nm corresponding to the intraionic 7 FJ ← 5 D0 (J = 0, 1, 2, 3 and 4) transitions in the visible range spectrum (Figure 10). Recorded excitation spectra at the main emission wavelength for compounds 4-Sm (λem ≈ 596 nm) and 4-Eu (λem ≈ 618 nm) are in line with the Dy counterpart, with a wide band identified as the excitation of pmdc ligand, followed by several narrow peaks for intraionic excitations of the corresponding lanthanides ( Figure S12). Note the high intensity band shown by 4-Eu, a fact that points out the efficient antenna effect. To fully characterize photoluminescence properties of compounds 4-Sm and 4-Eu, decay curves acquired at room temperature were fitted to Equation (2) and the emission lifetimes were obtained ( Figure S14). The curves were measured exciting the samples at 308 nm (to maximize the excitation ligand-centered band) and recording their main emission bands peaking at 595 and 618 nm for 4-Sm and 4-Eu, respectively. Best fit values, as well as QY are reported in Table 3. In this case, despite the dual component observed from the fittings, the emission lifetimes are representatively characterized by the major second lifetime (τ2). Comparing To fully characterize photoluminescence properties of compounds 4-Sm and 4-Eu, decay curves acquired at room temperature were fitted to Equation (2) and the emission lifetimes were obtained ( Figure S14). The curves were measured exciting the samples at 308 nm (to maximize the excitation ligand-centered band) and recording their main emission bands peaking at 595 and 618 nm for 4-Sm and 4-Eu, respectively. Best fit values, as well as QY are reported in Table 3. In this case, despite the dual component observed from the fittings, the emission lifetimes are representatively characterized by the major second lifetime (τ 2 ). Comparing these results, it is not surprising that 4-Eu exhibits the longest emission lifetime among all the studied homologues since this metal ion usually presents good sensitization of carboxylate-based ligands [67,68]. In the present case, the better luminescence sensitization of pmdc ligand towards Eu(III) ion is compared to other lanthanides, a fact that can be also observed in the high QY, should come from a more efficient energy transfer from the ligand's triplet state to the excited emissive state of Eu(III) ( 5 D 0 ). To that end, the ligand's excited state energy is determinant according to Latva's rule, according to which an energy gap between acceptor-receptor states must be of 2500-4000 cm −1 for efficient transfers [69]. According to previous studies [40], the experimentally determined triplet state of pmdc is of ca. 20,619 cm −1 . Putting aside the larger natural emission lifetime of Eu(III) over the rest of the lanthanides [70], and taking into account that excited levels of lanthanides are at ca. 17,500 cm −1 for 5 D 0 in Eu(III), 17,730 cm −1 for 4 G 5/2 in Sm(III) and 20,800 cm −1 for 4 F 9/2 in Dy(III), it may be explained by the fact that the emission in Dy(III)-based compounds is poorer than in Sm-and Eu-based ones, but the difference observed between 4-Sm and 4-Eu is not. In order to better explain this fact, we decided to compute the triplet state of pmdc ligand with DFT theory, which shifted the energy value to 24,000 cm −1 (see Figure  S15) with respect to the ground single state. With this new value in mind, and in view of the large separation, it can be assumed that the energy transfer may be occurring between ligand's triplet state and above-lying excited states of lanthanides (III), among which 5 D 2 in Eu(III) (at 21,200 cm −1 ) and 4 I 9/2 (at 20,500 cm −1 ) are known to act as accessorial levels to accept energy by a multipolar mechanism [68,71]. In any case, considering that radiative emission rate (τ R ) for these two ions are 7.7 and 3.3 ms according to bibliography [71,72], respectively for Eu(III) and Sm(III), the lanthanide emission quantum yield (φ Ln ) calculated by means of Equation (3) (see Table 3) confirms the above mentioned best transfer for Eu(III) than for Sm(III).
Note that values for τ obs have been estimated from the experimental mean lifetimes, i.e., on the basis of the proportional weight of the lifetime component. All in all, the obtained values for Sm(III)-based CP fall in the range of other complexes [73,74], whereas it must be underlined that Eu(III)-based CP can be qualified in the mid-top range of complexes in terms of quantum efficiency [67].

Materials and Methods
Chemicals. All chemicals were of reagent grade and uses as commercially obtained with any further purification. The starting material pyrimidine−4,6-dicarboxylic acid (H 2 Pmdc) was prepared following the previously reported procedure [75].

Synthesis of {[Dy(µ 4 -pmdc)(NO 3 )(H 2 O)]·H 2 O} n (5-Dy).
A polycrystalline sample of 5-Dy was obtained by following the previously reported solvent-free procedure as detailed before [41]. In short, it consisted of hand-grinding a mixture of Dy(NO 3 ) 3 (0.200 mmol, 0.0697 g) and H 2 pmdc (0.2 mmol, 0.0408 g) to obtain a homogeneous mixture, which was sealed in a glass vacule and slowly heated up to 190 • C for 48 h. Finally, the sample was slowly cooled down to room temperature (4 • C/h) and washed several times with water and methanol to ensure the removal of starting reagents.
X-ray Diffraction Data Collection and Structure Determination. Single-crystal diffraction data were collected at 100(2) K on an Oxford Diffraction Xcalibur diffractometer with graphite-monochromomated Mo Kα radiation (λ = 0.71073 Å). Data reduction for compounds 1-Ln-3-Ln and 5-Ln was detailed elsewhere [40,41]. Data integration of compounds 4-Nd, 4-Sm and 4-Eu was carried out with the CrysAlis Pro program [76], and using the twin laws specified in the cif files given the non-merohedric twins found in all cases. The component for the minor domain was 22, 26 and 42% respectively for 4-Nd, 4-Sm and 4-Eu. These structures were solved by direct methods using the SHELXT program [77] and refined by full-matrix least-squares of F 2 including all reflections with SHELXL-2018/3 program [78]. All calculations for these structures were performed using the WINGX crystallographic software package [79]. Table S1 gathers the most remarkable crystallographic data for the three novel crystal structures. CCDC 825170 and 825176 contain the supplementary crystallographic data for previously reported compounds 1-Dy and 2-Dy whereas CCDC 2048324-2048326 contains the structures of compounds 4-Nd, 4-Sm and 4-Eu. These data are provided free of charge by the Cambridge Crystallographic Data Centre via www.ccdc.cam.ac.uk/data_request/cif. The X-ray powder diffractions (XRPD) patterns were collected on a Philips X'PERT powder diffractometer with Cu Kα radiation (λ = 1.5418 Å) over the 5 < 2θ < 50 • range with a step size of 0.02 • and an acquisition time of 2.5 s per step at 25 • C. Indexation of the diffraction profiles were carried out using the FULLPROF program [80], on the basis of the space group and cell parameters found for isostructural compounds by single crystal X-ray diffraction.
Physical measurements. Infrared (IR) spectra were recorded for the novel compounds 4-Nd, 4-Sm, 4-Eu and 4-Dy (Figures S16 and S17) using KBr pellets on a Thermo-Nicolet IR 200 spectrometer in the 4000-400 cm −1 range. Recorded IR spectra can be found in the ESI. The variable temperature magnetic susceptibility measurements were performed on polycrystalline samples with a Quantum Design SQUID susceptometer covering the 2-300 K temperature range at a magnetic field of 1000 G. The susceptibility data were corrected for the diamagnetism estimated from Pascal's tables [81], the temperature-independent paramagnetism and the magnetization of the sample holder. Alternating current (ac) magnetic measurements were recorded on a PPMS (physical property measurement system) Quantum Design model 6000 magnetometer under a 3.5 G ac field and frequencies ranging from 60 to 10,000 Hz.
Photoluminescence measurements. Photoluminescence spectra were recorded on an Edinburgh Instruments FLS920 spectrometer done using a close cycle helium cryostat. All measurements were performed under high vacuum (of ca. 10 −9 mbar) to avoid the presence of oxygen or water in the sample holder. For steady-state measurements, an IK3552R-G HeCd continuous laser (325 nm) was used as excitation source, whereas a Müller-Elektronik-Optik SVX1450 Xe lamp was employed to collect the excitation spectra. On the other hand, the decay curves were measured using a µF900 microsecond pulsed lamp for the lanthanide (III)-based emissions or a pulsed laser diode LDH-P-C-375 (λ = 375 nm) for the ligand-based emissions. The analysis of the fluorescence in the ultraviolet-visible (UV-Vis) region was done with photomultiplier tube (PMT) coupled to the spectrometer (1-Dy, 2-Dy, 3-Dy, 4-Sm, 4-Eu, 4-Dy and 5-Dy). The overall quantum yield (%) was measured in solid state for all samples (except for 4-Nd) by means of a Horiba Quanta-ϕ integrating sphere using an Oriel Instruments MS257 lamp as excitation source and an iHR550 spectrometer from Horiba to analyse the emission.
Computational details. The magnetic coupling constant (Jcalc) was computed with the broken symmetry strategy described and validated elsewhere [82], using the Gaussian 16 package [83]. Spin density distribution was checked to ensure the correctness of the method, which consisted of the hybrid B3LYP functional and Gaussian-implemented 6-311G(d) basis set for all atoms but for the metal atom, which was computed with CRENBL pseudopotential. Spin-density surfaces were built with GaussView 5 [84]. On another level, the anisotropy axis of the Dy(III) ions was calculated with Magellan software [59]. Regarding the calculation of the triplet state of pmdc ligand, a geometry optimization plus frequencies calculations were done using the unrestricted wave-function (UKS) within the Kohn-Sham DFT by means of Gaussian 16 package. B3LYP functional with the 6-311G++(d,p) basis set for all atoms was employed. The energy was estimated as a vertical excitation following the methodology reported for other works [85].

Conclusions
In summary, five different families of Ln-OF have been synthetized by the combination of lanthanide(III) ions, pmdc organic ligand and an additional co-ligand, which is oxalate for 1-Dy, 2-Dy, 3-Dy and 4-Ln and nitrate anion for 5-Dy. Magnetic measurements carried out under static dc field over Dy-based compounds show almost negligible interactions among metal centers, a fact that is also supported by the computed DFT calculations, meaning that metal centers are practically isolated. Moreover, ac magnetic susceptibility measurements revealed the field-induced SMM behavior of compounds 1-Dy, 2-Dy, 4-Dy and 5-Dy reveals that the energy barrier for the reversal of the magnetization is highly dependent on the coordination environment, in the way that higher energy barriers are achieved for the most ideal polyhedra. Nonetheless, the replacement of oxalate ligand by nitrate anion in the equatorial plane leads to a higher stabilization of the ligand field and thus, a higher energy barrier in spite of the fact that 5-Dy presents a more distorted polyhedron. On the other hand, the photoluminescence emission spectra recorded for the Dy-based compounds, as well as for 4-Sm and 4-Eu compounds, show the characteristic emission peaks for each lanthanide(III) ions in the visible region as a consequence of the f-f intraionic transitions, in addition to the weaker ligand based emission. The relative intensity of the ligand-based emission and f-f intraionic transitions vary for Dy-based compounds, which is explained by different effects. On the one hand, a variable change in the effectiveness of the ligand-to-lanthanide energy transfer due to the changes occurring in the coordination shell of the structures, which is mainly observed when comparing the stronger emissions for 3D systems of 2-Dy, 3-Dy and 4-Dy to the 2D system of 1-Dy. On the other hand, the bright Dy-based emission observed for 5-Dy seems to proceed through a direct Dy-centered intraionic excitation, which bypasses the ligand excitation and associated antennae effect and helps decreasing the non-radiative pathways within the CP, in such a way the 5-Dy yields the most effective emission for all analyzed Dy-based compounds. On another level, the analysis on the rest of the counterparts (4-Sm and 4-Eu) shows that the antennae effect is presumably maximized for 4-Eu in view of the similar energy of triplet state of pmdc ligand and the excited states of Eu(III) ion, in such a way that 4-Eu affords a QY of 25% at room temperature.