Magnetic Behavior of Carboxylate and β-Diketonate Lanthanide Complexes Containing Stable Organometallic Moieties in the Core-Forming Ligand

Information concerning the structures of compounds of rare earth elements with carboxylic acids and a β-diketone containing stable organometallic moieties that we obtained previously is presented. Additional results for 15 complexes with the [Gd2O2] core allowed confirming and improving the correlation between JGd–Gd′ and the Gd. . . Gd distance for complexes of this type that we found earlier. For the first time, dc and ac magnetic measurements were carried out for the formerly-described complex [Dy2(O2CCym)4(NO3)2(DMSO)4] (2), Cym = (η-C5H4)Mn(CO)3), and two new binuclear complexes, namely [Dy2(O2CFc)4(NO3)2(DMSO)4] (3), and [Dy2(O2CFc)6(DMSO)2(H2O)2] (4), Fc = (η-C5H4)Fe(η-C5H5)). For binuclear [Dy2(O2CCym)6(DMSO)4] (1), as well as for a 1D-polymer [Dy(O2CCym)(acac)2(H2O)]n (6), ac magnetic measurements were carried out more precisely. The characteristics of a single-molecule magnet and of a single-chain magnet were determined for Complexes 2 and 6, respectively.


Introduction
Single-molecule magnets (SMM) are molecule-scale objects that demonstrate properties characteristic of bulk magnetic materials.In compounds of this kind, the classical phenomenon of residual magnetization retention is based on magnetic anisotropy on molecular and atomic levels.The majority of currently-known SMMs are the coordination compounds whose molecules contain a few metal ions with rather a large number of unpaired electrons and can retain residual magnetization for some time at very low temperatures.Compounds of this kind may be regarded as elements of high-density magnetic memory, i.e., promising components for data storage.A powerful impetus to the developments in this field was given by studies of the magnetic properties of the {Mn 12 } cluster [1,2].Currently, close attention of researchers is given to coordination compounds of lanthanides in the context of molecular magnetism.
The interest in coordination compounds of rare earth elements (REE) is currently rather high [3,4], primarily due to their unique magnetic properties [5][6][7][8][9].Among them, considerable attention is paid to β-diketonate and carboxylate derivatives.The latter class of compounds is characterized by a wide structural variety that is mainly reached due to the ability of carboxylic groups to show various structural functions.It is also attained by incorporation of additional ligands [10].The most popular approach to the design of lanthanide-containing SMM involves the use of ligand field symmetry to increase the anisotropy of isolated Ln 3+ ions [11].At the same time, beside the specifics of the local symmetry of Dy 3+ , a considerable role may belong to the ligand nature (electrostatic aspect) [12].Therefore, the suggestion of new core-forming ligands for directed design of SMM is of undoubted interest.
approach to the design of lanthanide-containing SMM involves the use of ligand field symmetry to increase the anisotropy of isolated Ln 3+ ions [11].At the same time, beside the specifics of the local symmetry of Dy 3+ , a considerable role may belong to the ligand nature (electrostatic aspect) [12].Therefore, the suggestion of new core-forming ligands for directed design of SMM is of undoubted interest.
An interesting, but insufficiently studied group among carboxylate and β-diketonate lanthanide derivatives comprises complexes in which the core-forming (carboxylate/β-diketone) ligand contains stable organometallic moieties, viz.derivatives of ferrocene (bis(η 5 -cyclopentadienyl)iron, (η 5 -С5Н5)2Fe), and cymantrene (η 5 -cyclopentadienyltricarbonylmanganese, (η 5 -C5H5)Mn(CO)3), the derivatives of cymantrene-and ferrocene-carboxylic acids in particular (Scheme 1).These ligands are bulky; they also have a highly polarizable π-system.Therefore, both steric and electronic effects may play a significant role in metal carboxylates/β-diketonates.Such compounds also represent the original type of heterometallic complexes, since they are potentially able to combine specific properties of the metal ion and of the organometallic fragment.For example, in the aspect of magnetic properties, the reversible conversion of the ferrocenyl group to paramagnetic ferrocenium in the solid state of ferrocenecarboxylates is of interest [13,14].

Mn OC CO CO
This paper provides a review of our previous (2011-2016) and new synthetic and structural results of studies on the magnetic behavior of cymantrene-and ferrocene-carboxylates of dysprosium.

Results and Discussion
First of all, no information about cymantrenecarboxylates of rare earth metals and their magnetic properties was available before our first publication [15].To date, we have obtained cymantrenecarboxylates with various structures, both binuclear [15][16][17][18] and polymeric complexes [19][20][21].
The first complexes of this type that we obtained included two similar series of heteroleptic cymantrenecarboxylates of light lanthanides, [Ln2(μ-О,η 2 -O2CCym)2(μ2-О,О′-O2CCym)2(η 2 -О2ССym)2L4] nL, containing molecules of volatile tetrahydrofuran (Ln = Nd, n = 0; Ln = Gd, Eu, n = 1; L = THF) [15] or pyridine (Ln = Pr, Sm, Eu, Gd, n = 2, L = Py) [16] as neutral ligands.The obtained complexes had a binuclear structure typical of lanthanide carboxylates (Figure 1).Reproduced from the work [15] with the change in appearance.These ligands are bulky; they also have a highly polarizable π-system.Therefore, both steric and electronic effects may play a significant role in metal carboxylates/β-diketonates.Such compounds also represent the original type of heterometallic complexes, since they are potentially able to combine specific properties of the metal ion and of the organometallic fragment.For example, in the aspect of magnetic properties, the reversible conversion of the ferrocenyl group to paramagnetic ferrocenium in the solid state of ferrocenecarboxylates is of interest [13,14].
This paper provides a review of our previous (2011-2016) and new synthetic and structural results of studies on the magnetic behavior of cymantrene-and ferrocene-carboxylates of dysprosium.

Results and Discussion
First of all, no information about cymantrenecarboxylates of rare earth metals and their magnetic properties was available before our first publication [15].To date, we have obtained cymantrenecarboxylates with various structures, both binuclear [15][16][17][18] and polymeric complexes [19][20][21].
The first complexes of this type that we obtained included two similar series of heteroleptic cymantrenecarboxylates of light lanthanides, [Ln 2 (µ-O,η 2 -O 2 CCym) 2 (µ 2 -O,O -O 2 CCym) 2 (η 2 -O 2 CCym) 2 L 4 ] nL, containing molecules of volatile tetrahydrofuran (Ln = Nd, n = 0; Ln = Gd, Eu, n = 1; L = THF) [15] or pyridine (Ln = Pr, Sm, Eu, Gd, n = 2, L = Py) [16] as neutral ligands.The obtained complexes had a binuclear structure typical of lanthanide carboxylates (Figure 1).approach to the design of lanthanide-containing SMM involves the use of ligand field symmetry to increase the anisotropy of isolated Ln 3+ ions [11].At the same time, beside the specifics of the local symmetry of Dy 3+ , a considerable role may belong to the ligand nature (electrostatic aspect) [12].Therefore, the suggestion of new core-forming ligands for directed design of SMM is of undoubted interest.
An interesting, but insufficiently studied group among carboxylate and β-diketonate lanthanide derivatives comprises complexes in which the core-forming (carboxylate/β-diketone) ligand contains stable organometallic moieties, viz.derivatives of ferrocene (bis(η 5 -cyclopentadienyl)iron, (η 5 -С5Н5)2Fe), and cymantrene (η 5 -cyclopentadienyltricarbonylmanganese, (η 5 -C5H5)Mn(CO)3), the derivatives of cymantrene-and ferrocene-carboxylic acids in particular (Scheme 1).These ligands are bulky; they also have a highly polarizable π-system.Therefore, both steric and electronic effects may play a significant role in metal carboxylates/β-diketonates.Such compounds also represent the original type of heterometallic complexes, since they are potentially able to combine specific properties of the metal ion and of the organometallic fragment.For example, in the aspect of magnetic properties, the reversible conversion of the ferrocenyl group to paramagnetic ferrocenium in the solid state of ferrocenecarboxylates is of interest [13,14].

Mn
This paper provides a review of our previous (2011-2016) and new synthetic and structural results of studies on the magnetic behavior of cymantrene-and ferrocene-carboxylates of dysprosium.

Results and Discussion
First of all, no information about cymantrenecarboxylates of rare earth metals and their magnetic properties was available before our first publication [15].To date, we have obtained cymantrenecarboxylates with various structures, both binuclear [15][16][17][18] and polymeric complexes [19][20][21].
Thus, we proposed methods for the synthesis of new compounds, determined their molecular and crystal structures, studied their thermal behavior, as well as luminescent properties for Eu derivatives [15][16][17][18][19][20][21][22][23][24][25], but a detailed study of the magnetic behavior of some of the complexes was not carried out.
The diamagnetism of cymantrene and ferrocene moieties distinguishes lanthanide cymantreneand ferrocene-carboxylates from all of the other Fe-Ln and Mn-Ln heterometallic compounds since their magnetism is caused only by the contribution of Ln 3+ ions.The dc magnetic susceptibility for most of the complexes was studied in the temperature range of 2-300 K in an applied magnetic field of 5000 Oe.It was shown that their magnetic behavior was determined by the lanthanide ions, and the χT (300 K) values for all of the compounds agreed satisfactorily with the theoretical values [26].To synthesize cymantrenecarboxylates with the ratio Ln:Mn = 1:1, we suggested an original technique with the use of hydrated lanthanide acetylacetonates as the starting reagents [22].1D-polymeric complexes [Ln(O 2 CCym)(acac) 2 (H 2 O)] n (Ln = Eu, Gd, Tb, Dy, Ho, Er) were obtained.The structure of the complexes is formed of [Ln(acac) 2 (H 2 O)] moieties, in which the lanthanide ion is chelated by two acac ligands, while the bridging cymantrenecarboxylate anions bind the adjacent [Ln(acac) 2 (H 2 O)] moieties into an infinite chain.The coordination number of Ln 3+ is seven, which is a comparatively small value for lanthanide complexes (Figure 5).To synthesize cymantrenecarboxylates with the ratio Ln:Mn = 1:1, we suggested an original technique with the use of hydrated lanthanide acetylacetonates as the starting reagents [22].1Dpolymeric complexes [Ln(O2CCym)(acac)2(H2O)]n (Ln = Eu, Gd, Tb, Dy, Ho, Er) were obtained.The structure of the complexes is formed of [Ln(acac)2(H2O)] moieties, in which the lanthanide ion is chelated by two acac ligands, while the bridging cymantrenecarboxylate anions bind the adjacent [Ln(acac)2(H2O)] moieties into an infinite chain.The coordination number of Ln 3+ is seven, which is a comparatively small value for lanthanide complexes (Figure 5).A number of hitherto unknown ferrocenoylacetonate complexes of rare earth elements, [Ln(fca)3(bpy)]•MeC6H5 (Ln = Pr, Eu, Gd, Tb, Dy, Ho (fca = Fс(CO)CH(CO)Me; bpy = 2,2′-bipyridyl)) (Figure 6) [24] and [Ln(fca)2(NO3)(bpy)]•nMeC6H5 (Ln = Sm, Eu, Dy, Er, Yb), were synthesized and characterized by X-ray single crystal analysis [25].
Thus, we proposed methods for the synthesis of new compounds, determined their molecular and crystal structures, studied their thermal behavior, as well as luminescent properties for Eu derivatives [15][16][17][18][19][20][21][22][23][24][25], but a detailed study of the magnetic behavior of some of the complexes was not carried out.
The diamagnetism of cymantrene and ferrocene moieties distinguishes lanthanide cymantreneand ferrocene-carboxylates from all of the other Fe-Ln and Mn-Ln heterometallic compounds since their magnetism is caused only by the contribution of Ln 3+ ions.The dc magnetic susceptibility for most of the complexes was studied in the temperature range of 2-300 K in an applied magnetic field of 5000 Oe.It was shown that their magnetic behavior was determined by the lanthanide ions, and the χT (300 K) values for all of the compounds agreed satisfactorily with the theoretical values [26].
Thus, we proposed methods for the synthesis of new compounds, determined their molecular and crystal structures, studied their thermal behavior, as well as luminescent properties for Eu derivatives [15][16][17][18][19][20][21][22][23][24][25], but a detailed study of the magnetic behavior of some of the complexes was not carried out.
The diamagnetism of cymantrene and ferrocene moieties distinguishes lanthanide cymantrene-and ferrocene-carboxylates from all of the other Fe-Ln and Mn-Ln heterometallic compounds since their magnetism is caused only by the contribution of Ln 3+ ions.The dc magnetic susceptibility for most of the complexes was studied in the temperature range of 2-300 K in an applied magnetic field of 5000 Oe.It was shown that their magnetic behavior was determined by the lanthanide ions, and the χT (300 K) values for all of the compounds agreed satisfactorily with the theoretical values [26].Among compounds of light lanthanides (Ce-Gd), complexes of Gd 3+ are of particular interest due to the electronic structure of this ion: it has the maximum possible number of unpaired electrons (S = 7/2) among 4f-elements.Moreover, it is an isotropic ion with zero contribution from spin-orbital coupling, which considerably facilitates the mathematical description of magnetism for Gd 3+ complexes.The experimental χmT(Т) dependences for binuclear and polynuclear Gd 3+ complexes with the [Gd2O2] core are usually interpreted using equations derived from the Heisenberg-Dirac-Van Vleck Hamiltonian H = −JSGdSGd′ (J: exchange coupling constant) with isotropic spin and the quantum number SGd = SGd′ = 7/2 [27,28].
For binuclear Gd 3+ complexes both ferromagnetic and antiferromagnetic interactions with small absolute values J have been observed (below 0.2 cm −1 ).The ferromagnetic nature of the Gd…Gd interaction was supported by magnetization measurements in the 0-5 T range at 2 K [29].Relative expanded uncertainties Ur(J) are not presented in the literature (see the references in the work [30] and in Table 1).The fitting procedure leads to Jex, g and (R = Σ[(χm)obs − (χm)calc] 2 /Σ[(χm)obs] 2 ), which allows one to evaluate Ur(J).Ur(J) must be not less than 10% (±0.01).
The problem of establishing the magnetostructural correlation for gadolinium complexes with the [Gd2O2] core has been considered earlier [31][32][33].The experimental data that we obtained for [Gd2(O2CCym)6(THF)4]•THF [15] and [Gd2(O2CCym)6(py)4]•2py [16] and the available sufficiently abundant data for 34 gadolinium complexes with the [Gd2O2] motive allowed us to suggest a correlation between the JGd-Gd′ value and the Gd…Gd distance in the complexes [30].The determined empirical dependence was satisfactorily approximated by a fourth degree polynomial with R 2 = 0.854 [30].It was found that the antiferromagnetic interaction between the Gd 3+ ions weakens with an increase in the distance; at DGd…Gd′ above ~4.10Å, it changes to ferromagnetic coupling that passes through a maximum (at DGd…Gd′ ≈ 4.25 Å) and approaches zero at DGd…Gd′ > 4.50 Å (Figure 7).The authors [34] also note that within the framework of the [Gd2O2] core, exchange coupling is ferromagnetic when the Gd…Gd distance is larger than ~4.0-4.1 Å, while the exchange coupling is antiferromagnetic when this parameter is smaller.
The validity of this correlation was confirmed by the data for four [Gd2O2] complexes synthesized by us (marked with asterisks in Table 1 and by blue points in Figure 7) [30].The plot of the dependence is similar to the Bethe-Slater curve (Figure 7, insert) which represents the magnitude of direct exchange as a function of a/r ratio, where a is the distance between two nearby atoms, and r is the radius of the unfilled electron shell [35].Among compounds of light lanthanides (Ce-Gd), complexes of Gd 3+ are of particular interest due to the electronic structure of this ion: it has the maximum possible number of unpaired electrons (S = 7/2) among 4f-elements.Moreover, it is an isotropic ion with zero contribution from spin-orbital coupling, which considerably facilitates the mathematical description of magnetism for Gd 3+ complexes.The experimental χ m T(T) dependences for binuclear and polynuclear Gd 3+ complexes with the [Gd 2 O 2 ] core are usually interpreted using equations derived from the Heisenberg-Dirac-Van Vleck Hamiltonian H = −JS Gd S Gd (J: exchange coupling constant) with isotropic spin and the quantum number S Gd = S Gd = 7/2 [27,28].
For binuclear Gd 3+ complexes both ferromagnetic and antiferromagnetic interactions with small absolute values J have been observed (below 0.2 cm −1 ).The ferromagnetic nature of the Gd. . .Gd interaction was supported by magnetization measurements in the 0-5 T range at 2 K [29].Relative expanded uncertainties U r (J) are not presented in the literature (see the references in the work [30] and in Table 1).The fitting procedure leads to J ex , g and (R = Σ[(χ m ) obs − (χ m ) calc ] 2 /Σ[(χ m ) obs ] 2 ), which allows one to evaluate U r (J).U r (J) must be not less than 10% (±0.01).
The problem of establishing the magnetostructural correlation for gadolinium complexes with the [Gd 2 O 2 ] core has been considered earlier [31][32][33].The experimental data that we obtained for [Gd 2 (O 2 CCym) 6 (THF) 4 ]•THF [15] and [Gd 2 (O 2 CCym) 6 (py) 4 ]•2py [16] and the available sufficiently abundant data for 34 gadolinium complexes with the [Gd 2 O 2 ] motive allowed us to suggest a correlation between the J Gd-Gd value and the Gd. . .Gd distance in the complexes [30].The determined empirical dependence was satisfactorily approximated by a fourth degree polynomial with R 2 = 0.854 [30].It was found that the antiferromagnetic interaction between the Gd 3+ ions weakens with an increase in the distance; at D Gd. . .Gd above ~4.10Å, it changes to ferromagnetic coupling that passes through a maximum (at D Gd. . .Gd ≈ 4.25 Å) and approaches zero at D Gd. . .Gd > 4.50 Å (Figure 7).The authors [34] also note that within the framework of the [Gd 2 O 2 ] core, exchange coupling is ferromagnetic when the Gd. . .Gd distance is larger than ~4.0-4.1 Å, while the exchange coupling is antiferromagnetic when this parameter is smaller.
The validity of this correlation was confirmed by the data for four [Gd 2 O 2 ] complexes synthesized by us (marked with asterisks in Table 1 and by blue points in Figure 7) [30].The plot of the dependence is similar to the Bethe-Slater curve (Figure 7, insert) which represents the magnitude of direct exchange as a function of a/r ratio, where a is the distance between two nearby atoms, and r is the radius of the unfilled electron shell [35].•, values reported in the work [30], but not used for building of the correlation; •, newly-added data (Table 1)).The relative expanded uncertainties are shown.Insert: Bethe-Slater curve [35].
In the work [30], the results of the studies carried out before the year 2013 were summarized.However, presently, this problem is still under research [34].Therefore, we decided to supplement the information provided in our earlier work [30] with both our and literature data, which is presented in this paper (Table 1 and red points in Figure 7).

Compound
DGd…Gd′, Å JGd-Gd′, cm 4.435 0.017 [40] * The complexes used for correlation test in the work [27] Taking into account additional findings, together with the previously used data, allowed enhancing the reliability of the correlation (R 2 = 0.875).As can be seen from Figure 7, these data also confirm the validity of the correlation that we found.
It should be noted that small negative J values are observed in the area of long Gd…Gd distances (Figure 7).This may be due to the influence of factors other than Gd…Gd distance, which we have •, values reported in the work [30], but not used for building of the correlation; •, newly-added data (Table 1)).The relative expanded uncertainties are shown.Insert: Bethe-Slater curve [35].
In the work [30], the results of the studies carried out before the year 2013 were summarized.However, presently, this problem is still under research [34].Therefore, we decided to supplement the information provided in our earlier work [30] with both our and literature data, which is presented in this paper (Table 1 and red points in Figure 7).

Compound
DGd…Gd′, Å JGd-Gd′, cm  Taking into account additional findings, together with the previously used data, allowed enhancing the reliability of the correlation (R 2 = 0.875).As can be seen from Figure 7, these data also confirm the validity of the correlation that we found.
It should be noted that small negative J values are observed in the area of long Gd…Gd distances (Figure 7).This may be due to the influence of factors other than Gd…Gd distance, which we have , values reported in the work [30], but not used for building of the correlation;  [30]; •, values reported in the work [30], but not used for building of the correlation; •, newly-added data (Table 1)).The relative expanded uncertainties are shown.Insert: Bethe-Slater curve [35].
In the work [30], the results of the studies carried out before the year 2013 were summarized.However, presently, this problem is still under research [34].Therefore, we decided to supplement the information provided in our earlier work [30] with both our and literature data, which is presented in this paper (Table 1 and red points in Figure 7).Taking into account additional findings, together with the previously used data, allowed enhancing the reliability of the correlation (R 2 = 0.875).As can be seen from Figure 7, these data also confirm the validity of the correlation that we found.
It should be noted that small negative J values are observed in the area of long Gd…Gd distances (Figure 7).This may be due to the influence of factors other than Gd…Gd distance, which we have , newly-added data (Table 1)).The relative expanded uncertainties are shown.Insert: Bethe-Slater curve [35].
In the work [30], the results of the studies carried out before the year 2013 were summarized.However, presently, this problem is still under research [34].Therefore, we decided to supplement the information provided in our earlier work [30] with both our and literature data, which is presented in this paper (Table 1 and red points in Figure 7).Taking into account additional findings, together with the previously used data, allowed enhancing the reliability of the correlation (R 2 = 0.875).As can be seen from Figure 7, these data also confirm the validity of the correlation that we found.
It should be noted that small negative J values are observed in the area of long Gd. . .Gd distances (Figure 7).This may be due to the influence of factors other than Gd. . .Gd distance, which we have neglected.However, the relative expanded uncertainty suggests that small positive J values are also possible in this region.The J values corresponding to the longest Gd. . .Gd distances are very close to zero, as expected.
The cymantrenecarboxylate anion is the core-forming ligand in Compounds 1 and 2, whereas the ferrocenecarboxylate anion plays this role in Structures 3 and 4. Structures 1, 2, 3 and 4 are formed by centrosymmetric dimers (Figure 8).
The coordination number of Dy atoms in Structure 1 is nine.The coordination polyhedron is best described as a three-cap trigonal prism.The structure of the dimer of Compound 2 is similar to the structure of Compound 1 with the replacement of chelate ligands, i.e., the {η 2  Binuclear cymantrenecarboxylates 1 were 2 were prepared and structurally characterized earlier [18]; dysprosium ferrocenecarboxylates 3 and 4 are newly obtained.
The cymantrenecarboxylate anion is the core-forming ligand in Compounds 1 and 2, whereas the ferrocenecarboxylate anion plays this role in Structures 3 and 4. Structures 1, 2, 3 and 4 are formed by centrosymmetric dimers (Figure 8).
The coordination number of Dy atoms in Structure 1 is nine.The coordination polyhedron is best described as a three-cap trigonal prism.The structure of the dimer of Compound 2 is similar to the structure of Compound 1 with the replacement of chelate ligands, i.e., the {η 2 -О2СCym} ligand, for {η 2 -NО3}.Furthermore, on transition from Compounds 1 to 2, the chelate-bridging {μ-О,η 2 -O2CCym} cymantrenecarboxylate ligands turn in such a way that they become purely bridging {μ2-О,О′-O2CCym} ligands, which results in a decrease in the CN from nine (1) down to eight (2) and a considerable increase in the Dy…Dy′ distance from 4.0513( 6  DC magnetic measurements were carried out for Complexes 2, 3 and 4 for the first time.The χmT values of complexes at 300 K (Table 2) correspond to two magnetically-isolated free Dy 3+ ions ( 6 H15/2, S = 5/2, L = 5, g = 4/3).DC magnetic measurements were carried out for Complexes 2, 3 and 4 for the first time.The χ m T values of complexes at 300 K (Table 2) correspond to two magnetically-isolated free Dy 3+ ions ( 6 H 15/2 , S = 5/2, L = 5, g = 4/3).As the temperature decreases to 100 K, the χ m T values of dysprosium complexes weakly depend on temperature, but on further temperature lowering, the absolute values decrease considerably.The minimum values are attained at 2 K (Figure S1, Table 2).This behavior is caused by the splitting of m J levels in the zero field due to the ligand field effect, by the Zeeman effect under the external field and/or by weak antiferromagnetic coupling between the lanthanide ions.
To explore the presence of the slow relaxation of magnetization in the case of Dy complexes, dynamic measurements of ac magnetic susceptibility as a function of temperature at variable frequencies were performed for polycrystalline powder samples of some complexes in the temperature range of 2-12 K.Such measurements for Complexes 2-4 were also carried out for the first time.
For binuclear complex [Dy 2 (O 2 CCym) 6 (DMSO) 4 ] (1), we have measured the ac magnetic susceptibility in the dc field with the intensities H = 0 and 5 kOe only for three frequencies earlier [18].In the zero external field, the temperature dependences of the imaginary component contain the frequency-dependent signal and a noticeable increase in χ , but no distinctly detected maximum was observed.As the field intensity increases to H = 5 kOe, the maximum in the χ (T) dependences is observed in the range 4.5-5 K at all frequencies (only three frequencies (100 Hz, 1 kHz and 10 kHz)) at which the measurements were carried out [18].
In this work, Complex 1 was studied in the temperature range of 2-5 K in zero, 1000 and 2000 Oe external fields for a wide range of frequencies (10-10,000 Hz).A frequency-dependent signal χ is observed in this temperature range, but the position of the maximum in the χ (ν) plot does not change with the temperature variation (Figure S2), which may be due to the quantum tunneling effect.On application of the magnetic field with up to an H = 2000 Oe strength, the maximum in the χ (T) plot is observed at all of the measurement temperatures, but no shift of the maximum is observed (Figure S3).This behavior of the χ (ν) plot indicates that slow magnetic relaxation is present, but the effect of quantum tunneling decreases insignificantly upon the application of an external magnetic field.Furthermore, we carried out studies for binuclear complex [Dy 2 (O 2 CCym) 4 (NO 3 ) 2 (DMSO) 4 ] (2).For Complex 2, non-zero χ values are observed even in the zero field (Figure 9).As the temperature decreases to 100 K, the χmT values of dysprosium complexes weakly depend on temperature, but on further temperature lowering, the absolute values decrease considerably.The minimum values are attained at 2 K (Figure S1, Table 2).This behavior is caused by the splitting of mJ levels in the zero field due to the ligand field effect, by the Zeeman effect under the external field and/or by weak antiferromagnetic coupling between the lanthanide ions.
To explore the presence of the slow relaxation of magnetization in the case of Dy complexes, dynamic measurements of ac magnetic susceptibility as a function of temperature at variable frequencies were performed for polycrystalline powder samples of some complexes in the temperature range of 2-12 K.Such measurements for Complexes 2-4 were also carried out for the first time.
For binuclear complex [Dy2(O2CCym)6(DMSO)4] (1), we have measured the ac magnetic susceptibility in the dc field with the intensities H = 0 and 5 kOe only for three frequencies earlier [18].In the zero external field, the temperature dependences of the imaginary component contain the frequency-dependent signal and a noticeable increase in χ″, but no distinctly detected maximum was observed.As the field intensity increases to H = 5 kOe, the maximum in the χ″ (T) dependences is observed in the range 4.5-5 K at all frequencies (only three frequencies (100 Hz, 1 kHz and 10 kHz)) at which the measurements were carried out [18].
In this work, Complex 1 was studied in the temperature range of 2-5 K in zero, 1000 and 2000 Oe external fields for a wide range of frequencies (10-10,000 Hz).A frequency-dependent signal χ″ is observed in this temperature range, but the position of the maximum in the χ″(ν) plot does not change with the temperature variation (Figure S2), which may be due to the quantum tunneling effect.On application of the magnetic field with up to an H = 2000 Oe strength, the maximum in the χ″ (T) plot is observed at all of the measurement temperatures, but no shift of the maximum is observed (Figure S3).This behavior of the χ″(ν) plot indicates that slow magnetic relaxation is present, but the effect of quantum tunneling decreases insignificantly upon the application of an external magnetic field.Furthermore, we carried out studies for binuclear complex [Dy2(O2CCym)4(NО3)2(DMSO)4] (2).For Complex 2, non-zero χ″ values are observed even in the zero field (Figure 9).The magnetization dynamics of 2 was also studied under an applied dc magnetic field in order to minimize the probability of quantum tunneling (Figure S5).It was found that the external magnetic field did not affect considerably the relaxation processes in Complex 2 (Figure 10).The magnetization dynamics of 2 was also studied under an applied dc magnetic field in order to minimize the probability of quantum tunneling (Figure S5).It was found that the external magnetic field did not affect considerably the relaxation processes in Complex 2 (Figure 10).No non-zero out-of-phase component of ac magnetic susceptibility χ″ was found for Complex 3 at temperatures above 2 K in the frequency range of 10-10,000 Hz, both in the zero magnetic field and under an external magnetic field of 5000 Oe (Figures S6-S8).
In the case of the new complex [Dy2(O2CFc)6(DMSO)2(H2O)2] (4), a frequency-dependent signal χ″ is almost not observed in the zero external field at 2 K. On increasing the dc field strength to H = 2500 Oe, a χ″(ν) growth is observed at all magnetic field strengths applied for the measurements, but no maximum was found on the χ″(ν) plots (Figure S9).
The study of binuclear Complexes 1-4 that we performed has shown that Complex 2 has the best SMM characteristics, whereas no SMM properties were found in Complex 3. Interestingly, the lowering of the coordination number in the corresponding pairs 1 and 2, and 3 and 4 takes place.The results obtained agree with the concept that changes in local molecular symmetry and even insignificant distortion of coordination geometry [41], as well as possible dipole coupling of Dy(III) ions [42] have a considerable effect on SMM characteristics.The enhancement of SMM properties with the lowering of the coordination number observed in our case is in agreement with the recent theoretical study [43].
Studies of polymeric complex [Dy(η 2 -O2CCym)2(μ-O2CCym)4Dy(H2О)4]n (5) (whose molecular structure is shown in Figure 4) were performed previously [21].Maxima were observed in the zero field on the frequency dependences of out-of-phase component χ″ at low temperatures (2-3 K), which confirms the presence of slow relaxation of the magnetization (Figure S10).Analysis of the isotherms of frequency dependences gave the relaxation time.The magnetization dynamics of 2 was also studied under an applied dc magnetic field in order to minimize the probability of quantum tunneling (Figure S5).It was found that the external magnetic field did not affect considerably the relaxation processes in Complex 2 (Figure 10).No non-zero out-of-phase component of ac magnetic susceptibility χ″ was found for Complex 3 at temperatures above 2 K in the frequency range of 10-10,000 Hz, both in the zero magnetic field and under an external magnetic field of 5000 Oe (Figures S6-S8).
In the case of the new complex [Dy2(O2CFc)6(DMSO)2(H2O)2] (4), a frequency-dependent signal χ″ is almost not observed in the zero external field at 2 K. On increasing the dc field strength to H = 2500 Oe, a χ″(ν) growth is observed at all magnetic field strengths applied for the measurements, but no maximum was found on the χ″(ν) plots (Figure S9).
The study of binuclear Complexes 1-4 that we performed has shown that Complex 2 has the best SMM characteristics, whereas no SMM properties were found in Complex 3. Interestingly, the lowering of the coordination number in the corresponding pairs 1 and 2, and 3 and 4 takes place.The results obtained agree with the concept that changes in local molecular symmetry and even insignificant distortion of coordination geometry [41], as well as possible dipole coupling of Dy(III) ions [42] have a considerable effect on SMM characteristics.The enhancement of SMM properties with the lowering of the coordination number observed in our case is in agreement with the recent theoretical study [43].
Studies of polymeric complex [Dy(η 2 -O2CCym)2(μ-O2CCym)4Dy(H2О)4]n (5) (whose molecular structure is shown in Figure 4) were performed previously [21].Maxima were observed in the zero field on the frequency dependences of out-of-phase component χ″ at low temperatures (2-3 K), which confirms the presence of slow relaxation of the magnetization (Figure S10).Analysis of the isotherms of frequency dependences gave the relaxation time.Figure S11 shows the dependence of relaxation time on inverse temperature in the temperature range of 2.0-3.5 K. Using the Arrhenius law τ = τ0•exp(ΔE/kBT), the pre-exponential factor (τ0 = 4.3 × 10 −6 s) and the relaxation energy barrier (ΔE/kB = 4.1 K) were determined.The shape of ln(τ) vs. (1/T) and χ″(χ′) plots (Figure S12) allow us to believe that relaxation is thermally activated and that a purely quantum mode takes place below the temperature studied (T < 2 K).A unit of the polymeric chain [Dy(η 2 -O2CCym)2(μ-O2CCym)4Dy(H2О)4]n (5) contains two Dy atoms, one of which coordinates four O atoms of {μ-O2CCym) ligands and four O atoms of H2O molecules (Figure 4).The second Dy atom coordinates four O atoms of {μ-O2Ccym} and four O atoms of {η 2 -O2CCym} ligands.The coordination number of Dy atoms is eight; the {Dy(μ-O2CCym)4(H2O)4} polyhedron is a two-cap trigonal prism.The {Dy(η 2 -O2CCym)2(μ-O2CCym)4} polyhedron is strongly distorted and is most similar to a trigonal dodecahedron with the central segments of the trapezohedra occupied by η 2 -O2C moieties.It has been shown [44] that the existence of magnetic centers with differing anisotropy can give rise to two The magnetization dynamics of 2 was also studied under an applied dc magnetic field in order to minimize the probability of quantum tunneling (Figure S5).It was found that the external magnetic field did not affect considerably the relaxation processes in Complex 2 (Figure 10).No non-zero out-of-phase component of ac magnetic susceptibility χ″ was found for Complex 3 at temperatures above 2 K in the frequency range of 10-10,000 Hz, both in the zero magnetic field and under an external magnetic field of 5000 Oe (Figures S6-S8).
In the case of the new complex [Dy2(O2CFc)6(DMSO)2(H2O)2] (4), a frequency-dependent signal χ″ is almost not observed in the zero external field at 2 K. On increasing the dc field strength to H = 2500 Oe, a χ″(ν) growth is observed at all magnetic field strengths applied for the measurements, but no maximum was found on the χ″(ν) plots (Figure S9).
The study of binuclear Complexes 1-4 that we performed has shown that Complex 2 has the best SMM characteristics, whereas no SMM properties were found in Complex 3. Interestingly, the lowering of the coordination number in the corresponding pairs 1 and 2, and 3 and 4 takes place.The results obtained agree with the concept that changes in local molecular symmetry and even insignificant distortion of coordination geometry [41], as well as possible dipole coupling of Dy(III) ions [42] have a considerable effect on SMM characteristics.The enhancement of SMM properties with the lowering of the coordination number observed in our case is in agreement with the recent theoretical study [43].
Studies of polymeric complex [Dy(η 2 -O2CCym)2(μ-O2CCym)4Dy(H2О)4]n (5) (whose molecular structure is shown in Figure 4) were performed previously [21].Maxima were observed in the zero field on the frequency dependences of out-of-phase component χ″ at low temperatures (2-3 K), which confirms the presence of slow relaxation of the magnetization (Figure S10).Analysis of the isotherms of frequency dependences gave the relaxation time.Figure S11 shows the dependence of relaxation time on inverse temperature in the temperature range of 2.0-3.5 K. Using the Arrhenius law τ = τ0•exp(ΔE/kBT), the pre-exponential factor (τ0 = 4.3 × 10 −6 s) and the relaxation energy barrier (ΔE/kB = 4.1 K) were determined.The shape of ln(τ) vs. (1/T) and χ″(χ′) plots (Figure S12) allow us to believe that relaxation is thermally activated and that a purely quantum mode takes place below the temperature studied (T < 2 K).A unit of the polymeric chain [Dy(η 2 -O2CCym)2(μ-O2CCym)4Dy(H2О)4]n (5) contains two Dy atoms, one of which coordinates four O atoms of {μ-O2CCym) ligands and four O atoms of H2O molecules (Figure 4).The second Dy atom coordinates four O atoms of {μ-O2Ccym} and four O atoms of {η 2 -O2CCym} ligands.The coordination number of Dy atoms is eight; the {Dy(μ-O2CCym)4(H2O)4} polyhedron is a two-cap trigonal prism.The {Dy(η 2 -O2CCym)2(μ-O2CCym)4} polyhedron is strongly distorted and is most similar to a trigonal dodecahedron with the central segments of the trapezohedra occupied by η 2 -O2C moieties.It has been shown [44] that the existence of magnetic centers with differing anisotropy can give rise to two No non-zero out-of-phase component of ac magnetic susceptibility χ was found for Complex 3 at temperatures above 2 K in the frequency range of 10-10,000 Hz, both in the zero magnetic field and under an external magnetic field of 5000 Oe (Figures S6-S8).
In the case of the new complex [Dy 2 (O 2 CFc) 6 (DMSO) 2 (H 2 O) 2 ] (4), a frequency-dependent signal χ is almost not observed in the zero external field at 2 K. On increasing the dc field strength to H = 2500 Oe, a χ (ν) growth is observed at all magnetic field strengths applied for the measurements, but no maximum was found on the χ (ν) plots (Figure S9).
The study of binuclear Complexes 1-4 that we performed has shown that Complex 2 has the best SMM characteristics, whereas no SMM properties were found in Complex 3. Interestingly, the lowering of the coordination number in the corresponding pairs 1 and 2, and 3 and 4 takes place.The results obtained agree with the concept that changes in local molecular symmetry and even insignificant distortion of coordination geometry [41], as well as possible dipole coupling of Dy(III) ions [42] have a considerable effect on SMM characteristics.The enhancement of SMM properties with the lowering of the coordination number observed in our case is in agreement with the recent theoretical study [43].
Studies of polymeric complex [Dy(η 2 -O 2 CCym) 2 (µ-O 2 CCym) 4 Dy(H 2 O) 4 ] n (5) (whose molecular structure is shown in Figure 4) were performed previously [21].Maxima were observed in the zero field on the frequency dependences of out-of-phase component χ at low temperatures (2-3 K), which confirms the presence of slow relaxation of the magnetization (Figure S10).Analysis of the isotherms of frequency dependences gave the relaxation time.6) is formed by polymeric chains (Figure 5); the coordination number of Dy is seven; the polyhedron is a pentagonal bipyramid.Previously, incomplete study of this complex was carried out [21].The temperature dependences of the out-of-phase alternating-current (ac) magnetic susceptibility in the zero external magnetic field were obtained.However, no application of an external magnetic field was made.In this study, the dynamics of the magnetization was probed by ac susceptibility measurements for Complex 6.At 2 K, an ac relaxation mode for 6 appears around 2000 Oe.From the complete study of the ac susceptibility as a function of temperature and frequency at 2000 Oe (Figure 11), the characteristic relaxation time of the magnetization was estimated between 2 and 10 K (Figure S15).As shown by the non-thermally-activated dependence of the relaxation time in this temperature range, quantum tunneling of the magnetization is obviously dominating the relaxation process in 6 even under the applied dc field.Nevertheless, an attempt to extrapolate the Arrhenius behavior above 10 K leads to a rough estimation of the SMM energy gap of about 42 K, with a pre-exponential factor of 4.3 × 10 −7 s.The value of τ 0 , which is at least four orders of magnitude larger than expected for typical vibrations of the network, further confirms that the estimation value of ∆E/k B should be considered as a lower limit of the actual energy barrier for the thermally-activated relaxation process in 6.  6) is formed by polymeric chains (Figure 5); the coordination number of Dy is seven; the polyhedron is a pentagonal bipyramid.Previously, incomplete study of this complex was carried out [21].The temperature dependences of the out-of-phase alternating-current (ac) magnetic susceptibility in the zero external magnetic field were obtained.However, no application of an external magnetic field was made.In this study, the dynamics of the magnetization was probed by ac susceptibility measurements for Complex 6.At 2 K, an ac relaxation mode for 6 appears around 2000 Oe.From the complete study of the ac susceptibility as a function of temperature and frequency at 2000 Oe (Figure 11), the characteristic relaxation time of the magnetization was estimated between 2 and 10 K (Figure S15).As shown by the non-thermally-activated dependence of the relaxation time in this temperature range, quantum tunneling of the magnetization is obviously dominating the relaxation process in 6 even under the applied dc field.Nevertheless, an attempt to extrapolate the Arrhenius behavior above 10 K leads to a rough estimation of the SMM energy gap of about 42 K, with a pre-exponential factor of 4.3 × 10 −7 s.The value of τ0, which is at least four orders of magnitude larger than expected for typical vibrations of the network, further confirms that the estimation value of ΔE/kB should be considered as a lower limit of the actual energy barrier for the thermally-activated relaxation process in 6.To give a fuller picture, we also present our data [24] for ferrocenoylacetonate [Dy(fca)3(bpy)]•MeC6H5 (7).The structure of 7 contains the [Dy(fca)3(bpy)] complex (Figure 6) and solvate molecules of MeC6H5.Bpy…bpy stacking interactions bind complexes into centrosymmetric dimers.The solvate molecule of MeC6H5 that is arranged in rather a spacious cavity is not involved in stacking interactions.Detailed studies of dc and ac magnetic susceptibility were carried out.SMM properties were detected at temperatures up to 32 K.Most likely, owing to the electron-donating effect of ferrocenyl moieties [45,46], the complex has an extremely high magnetization reversal barrier, Δeff/kB = 241 K, which is a record value for lanthanide β-diketonates.This result illustrates the importance of the effect of the crystal field on the SMM properties of dysprosium complexes.

Materials and Methods
The following commercial reagents and solvents were used for the syntheses: hydrated dysprosium salts Dy(NO3)3 5H2O, DyCl3 .6H2O and acetylacetonate Dy(acac)3•3H2O, from Alfa Aesar (Heysham, Lancashire, UK), cymantrene from Aldrich (St.Louls, MO, USA), acetylferrocene (Alfa Aesar, 97%) and solvents (MeOH, DMSO, C6H5Me, CHCl3, C2H5OH) from Alfa Aesar.To give a fuller picture, we also present our data [24] for ferrocenoylacetonate [Dy(fca) 3 (bpy)]•MeC 6 H 5 (7).The structure of 7 contains the [Dy(fca) 3 (bpy)] complex (Figure 6) and solvate molecules of MeC 6 H 5 .Bpy. . .bpy stacking interactions bind complexes into centrosymmetric dimers.The solvate molecule of MeC 6 H 5 that is arranged in rather a spacious cavity is not involved in stacking interactions.Detailed studies of dc and ac magnetic susceptibility were carried out.SMM properties were detected at temperatures up to 32 K.Most likely, owing to the electron-donating effect of ferrocenyl moieties [45,46], the complex has an extremely high magnetization reversal barrier, ∆ eff /k B = 241 K, which is a record value for lanthanide β-diketonates.This result illustrates the importance of the effect of the crystal field on the SMM properties of dysprosium complexes.

Materials and Methods
The following commercial reagents and solvents were used for the syntheses: hydrated dysprosium salts Dy(NO 3 ) 3 5H 2 O, DyCl 3 .6H 2 O and acetylacetonate Dy(acac) 3 •3H 2 O, from Alfa Aesar (Heysham, Lancashire, UK), cymantrene from Aldrich (St.Louls, MO, USA), acetylferrocene (Alfa Aesar, 97%) and solvents (MeOH, DMSO, C 6 H 5 Me, CHCl 3 , C 2 H 5 OH) from Alfa Aesar.Cymantrenecarboxylic acid was synthesized according to a known procedure by the reaction of cymantrenyllithium obtained from n-butyllithium and cymantrene in THF at −45 • C, with solid CO 2 [47].Before use in the synthesis, cymantrenecarboxylic acid was sublimed in vacuo to remove traces of Mn 2+ .Methanol was dehydrated before use by distillation over magnesium; toluene was successively distilled over P 2 O 5 and sodium; DMSO was purified by freezing.
Magnetic susceptibility measurements were performed with the use of a Quantum Design magnetometer/susceptometer PPMS-9 (Quantum Design, San Diego, CA, USA).This instrument works between 1.8 and 350 K for dc applied fields ranging from −9 to 9 T.For ac susceptibility measurements, an oscillating ac field of 1 or 5 Oe with a frequency between 10 and 10,000 Hz was employed.Measurements were performed on polycrystalline samples sealed in polyethylene bags and covered with mineral oil in order to prevent field-induced torqueing of the crystals.The magnetic data were corrected for the sample holder, mineral oil and diamagnetic contribution.
Experimental data from single crystals were obtained on a Bruker SMART APEX2 diffractometer [48] (Table S1).Absorption for 3 and 4 was taken into account by a semiempirical method based on equivalents using SADABS software [49].For Compound 3, the model of the isostructural Tb complex was used [23].The positions of hydrogen atoms were calculated from geometrical considerations and refined using the "riding" model.The structure of 4 was determined using a combination of the direct method and Fourier syntheses.The structures of 3 and 4 were refined by the full-matrix anisotropic-isotropic least squares method.All of the calculations were carried out using SHELXS-2014 and SHELXL-2014 software [50].CCDC 1493047 and 1493048 contain the supplementary crystallographic data for Compounds 3 and 4.These data can be obtained free of charge via http://www.ccdc.cam.ac.uk/conts/retrieving.html or from the Cambridge Crystallographic Data Centre, 12 Union Road, Cambridge CB2 1EZ, U.K.; fax: (+44) 1223-336-033; or e-mail: deposit@ccdc.cam.ac.uk.(5) were synthesized using the procedures that we developed previously [18,22].The complex [Dy 2 (O 2 CFc) 4 (NO 3 ) 2 (DMSO) 4 ] (3) was prepared according to the procedure used for the synthesis of its Gd and Tb isostructural analogs [23] [23], except that boiling toluene (25 mL) was used for the extraction of the substance, and the resulting solution was kept at 4 • C for two days.

Conclusions
In summary, we have obtained new findings on the magnetism of the lanthanide complexes with stable organometallic ligands.The analysis of complementary data on exchange coupling in binuclear complexes of gadolinium with two bridging oxygen atoms has shown the validity of the correlation between J Gd-Gd and the Gd. . .Gd distance that we suggested earlier.

Figure 7 .
Figure 7. Approximation of the dependence of JGd-Gd′ vs. Gd…Gd′ distance for 49 [Gd2O2] complexes (o, values used for building of the plot in the work[30]; •, values reported in the work[30], but not used for building of the correlation; •, newly-added data (Table1)).The relative expanded uncertainties are shown.Insert: Bethe-Slater curve[35].

Figure 7 . 15 Figure 7 .
Figure 7. Approximation of the dependence of J Gd-Gd vs. Gd. . .Gd distance for 49 [Gd 2 O 2 ] complexes (o, values used for building of the plot in the work [30];

Figure 7 .
Figure 7. Approximation of the dependence of JGd-Gd′ vs. Gd…Gd′ distance for 49 [Gd2O2] complexes (o, values used for building of the plot in the work[30]; •, values reported in the work[30], but not used for building of the correlation; •, newly-added data (Table1)).The relative expanded uncertainties are shown.Insert: Bethe-Slater curve[35].
)-4.1775(4) Å, respectively.In Structure 3, two Dy atoms are bound by two bridging and two chelate-bridging O2CFc ligands, similarly to Structure 1. Coordination of Dy is also complemented by a NO3 − chelate ion and two oxygen atoms of DMSO molecules (CN = 9); the Dy…Dy′ distance is 4.042 Å.In Structure 4, two Dy atoms are bound by two O2CFc bridging ligands; coordination of Dy is complemented by two O2CFc chelate ligands and two oxygen atoms from molecules of DMSO and water (CN = 8); the Dy…Dy′ distance is 4.376 Å.

Figure 9 .
Figure 9. Frequency dependence of the in-phase (χ′, a) and out-of-phase (χ″, b) parts of ac susceptibility, between 2 and 6 K, for 2 in the zero dc field.Solid lines are visual guides.

Figure 9 .
Figure 9. Frequency dependence of the in-phase (χ , a) and out-of-phase (χ , b) parts of ac susceptibility, between 2 and 6 K, for 2 in the zero dc field.Solid lines are visual guides.

)
dc field.The solid red line is the best fit to the Arrhenius law (τ 0 = 3.2 × 10 −9 s, ∆E/k B = 53 K) (this study).
Figure S11 shows the dependence of relaxation time on inverse temperature in the temperature range of 2.0-3.5 K. Using the Arrhenius law τ = τ 0 •exp(∆E/k B T), the pre-exponential factor (τ 0 = 4.3 × 10 −6 s) and the relaxation energy barrier (∆E/k B = 4.1 K) were determined.The shape of ln(τ) vs. (1/T) and χ (χ ) plots (Figure S12) allow us to believe that relaxation is thermally activated and that a purely quantum mode takes place below the temperature studied (T < 2 K).A unit of the polymeric chain [Dy(η 2 -O 2 CCym) 2 (µ-O 2 CCym) 4 Dy(H 2 O) 4 ] n (5) contains two Dy atoms, one of which coordinates four O atoms of {µ-O 2 CCym) ligands and four O atoms of H 2 O molecules (Figure 4).The second Dy atom coordinates four O atoms of {µ-O 2 Ccym} and four O atoms of {η 2 -O 2 CCym} ligands.The coordination number of Dy atoms is eight; the {Dy(µ-O 2 CCym) 4 (H 2 O) 4 } polyhedron is a two-cap trigonal prism.The {Dy(η 2 -O 2 CCym) 2 (µ-O 2 CCym) 4 } polyhedron is strongly distorted and is most similar to a trigonal dodecahedron with the central segments of the trapezohedra occupied by η 2 -O 2 C moieties.It has been shown [44] that the existence of magnetic centers with differing anisotropy can give rise to two different mechanisms of magnetic relaxation that correspond to two different positions of dysprosium atoms.Though Structure 5 contains two crystallographically different Dy centers, studies have shown that only one mechanism of thermally-activated magnetic relaxation is present.The structure of a polymeric complex [Dy(O 2 CCym)(acac) 2 (H 2 O)] n ( magnetic relaxation that correspond to two different positions of dysprosium atoms.Though Structure 5 contains two crystallographically different Dy centers, studies have shown that only one mechanism of thermally-activated magnetic relaxation is present.The structure of a polymeric complex [Dy(O2CCym)(acac)2(H2O)]n (

Figure 11 .
Figure 11.Frequency dependence of the in-phase (χ′, a) and out-of-phase (χ″, b) parts of ac susceptibility, between 2 and 10 K, for 6 in a 2000 Oe dc field.Solid lines are visual guides.

Figure 11 .
Figure 11.Frequency dependence of the in-phase (χ , a) and out-of-phase (χ , b) parts of ac susceptibility, between 2 and 10 K, for 6 in a 2000 Oe dc field.Solid lines are visual guides.

Table 1 .
The Gd. . .Gd distances and the exchange coupling parameter J Gd-Gd for [Gd 2 O 2 ] complexes.

Table 2 .
Magnetic characteristics of Complexes 1