Article pubs.acs.org/IC
Cite This: Inorg. Chem. 2017, 56, 13482-13490
Slow Magnetic Relaxation in Ladder-Type and Single-Strand 2p−3d− 4f Heterotrispin Chains Meng Yang,† Jing Xie,† Zan Sun,† Licun Li,*,† and Jean-Pascal Sutter*,‡,§ †
Department of Chemistry, Key Laboratory of Advanced Energy Materials Chemistry and Tianjin Key Laboratory of Metal and Molecule-based Material Chemistry, College of Chemistry, Nankai University, Tianjin 300071, China ‡ Laboratoire de Chimie de Coordination (LCC), CNRS, 205 Route de Narbonne, F-31077 Toulouse, France § LCC, Université de Toulouse, UPS, INPT, F-31077 Toulouse, France S Supporting Information *
ABSTRACT: Ladder-type and chain 2p−3d−4f complexes based on a bridging nitronyl nitroxide radical, namely, [LnCu(hfac)5(NIT-Ph-pOCH2trz)]·0.5C6H14 [Ln = Y (1a), Dy (1b)] and [LnCu(hfac)5(NITPh-p-OCH2trz)] [Ln = Y (2a), Dy (2b); NIT-Ph-p-OCH2trz = 2-[4[(1H-1,2,4-triazol-1-yl)methoxy]phenyl]-4,4,5,5-tetramethylimidazoline-1-oxyl-3-oxide; hfac = hexafluoroacetylacetonate) have been successfully achieved through a one-pot reaction of the NIT-Ph-pOCH2trz radical with Cu(hfac)2 and Ln(hfac)3·2H2O. Complexes 1a and 1b feature a ladder-like structure, where the rails are made of Ln(III) and Cu(II) ions alternatively bridged by nitronyl nitroxide and the triazole units while the NIT-Ph-p-OCH2trz moieties act as the rungs of the ladder. Complexes 2a and 2b consist of one-dimensional nitronyl nitroxide bridged Ln coordination polymers with dangly Cu(II) units connected to the triazole moieties. All of compounds exhibit ferromagnetic NIT-Dy and/or NIT-Cu interactions. Both Dy derivatives (1b and 2b) show frequency-dependent out-of-phase magnetic susceptibility signals in a zero field indicating slow magnetic relaxation behavior.
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INTRODUCTION Since the first single-chain magnet (SCM) consisting of alternating [Co(hfac)2] (hfac = hexafluoroacetylacetonate) and nitronyl nitroxide radical units was reported by Gatteschi et al. in 2001,1 the design and synthesis of one-dimensional (1D) systems exhibiting slow magnetic relaxation have attracted tremendous interest over the past decade. This research activity is to be related to the prospective relevance of such materials for magnetic high-density information storage, molecular spintronics, and quantum computing.2 One of the great challenges in this field remains the rational design aimed at combining large magnetic anisotropy and strong intrachain exchange interactions in the 1D systems. Effective synthetic approaches to SCMs comprise heterospin 1D chains such as 2p−3d,1,3 2p−4f,4 3d−3d′,5 3d−4d/5d,6 and 3d−4f7 and homospin systems with metal ions such as MnIII,8 CoII,9 or LnIII.10 Recently, a strategy involving three different spin carriers has emerged as an appealing synthetic approach toward SCMs. Visinescu et al. have reported the first heterotrimetallic SCM combining 3d, 4d, and 4f ions.11 Dunbar and co-workers reported a heterotrispin quasi-1D chain12 involving a TCNQF•− radical anion and binuclear [CuTb]3+ units, exhibiting SCM behavior. Along this line, nitronyl nitroxide radicals are also excellent paramagnetic bridging ligands for constructing a 1D system due to their two equivalent NO groups sharing the unpaired electron. It is worth noting that the © 2017 American Chemical Society
majority of 1D chains based on bridging nitronyl nitroxide radicals are homometal (3d or 4f) compounds3d,e,4 whereas heterotrispin chains remain very scarce but revealed interesting magnetic behavior.13 With the aim of further exploring the field of 1D coordination polymers combining three different spin carriers, we considered the possibility of using nitronyl nitroxide derivatives possessing additional groups likely to act as good ligands for 3d centers.14 Herein, we disclose four novel 1D 2p− 3d−4f complexes obtained using a triazole-functionalized nitronyl nitroxide radical, NIT-Ph-p-OCH2trz (Chart 1), namely, [LnCu(hfac)5(NIT-Ph-p-OCH2trz)]·0.5C6H14 [Ln = Y (1a), Dy (1b)] and [LnCu(hfac)5(NIT-Ph-p-OCH2trz)] [Ln = Y (2a), Dy (2b)], respectively. Complexes 1a and 1b exhibit a ladder-type structure, while complexes 2a and 2b feature a 1D Ln chain bridged by the NO moieties of radical ligands. Both Chart 1. NIT-Ph-p-OCH2trz Radical Ligand
Received: August 27, 2017 Published: October 9, 2017 13482
DOI: 10.1021/acs.inorgchem.7b02204 Inorg. Chem. 2017, 56, 13482−13490
Article
Inorganic Chemistry Table 1. Crystallographic Data and Structure Refinement Summary for 1 and 2 1a formula fw cryst syst space group T, K a, Å b, Å c, Å α, deg β, deg γ, deg V, Å3 θ, deg Z Dcalcd, g cm−3 μ, mm−1 unique reflns/Rint GOF (F2) R1/wR2 [I > 2σ(I)]a R1/wR2 (all data)a a
1b
2a
C44H32CuF30N5O13Ln 1561.21 1634.80 triclinic triclinic P1̅ P1̅ 113(2) 113(2) 12.619(3) 12.674(3) 13.548(3) 13.465(3) 18.375(4) 18.425(4) 82.97(3) 83.22(3) 87.73(3) 87.43(3) 71.53(3) 71.60(3) 2957(1) 2962(1) 1.12−28.09 1.11−25.00 2 2 1.753 1.833 1.493 1.767 14402/0.0331 10391/0.0306 1.059 1.064 0.0517/0.1220 0.0451/0.1238 0.0620/0.1334 0.0524/0.1344
2b
C123H75Cu3F90N15O39Ln3 4554.37 4775.14 monoclinic monoclinic P21/c P21/c 113(2) 113(2) 18.785(3) 18.975(3) 17.138(3) 17.231(3) 52.31(1) 52.50(1) 90 90 96.852(4) 96.380(4) 90 90 16720(5) 17057(5) 6.52−89.90 6.05−77.70 4 4 1.809 1.860 3.390 9.030 37880/0.1069 30702/0.1503 1.053 1.035 0.1071/0.2350 0.0779/0.1948 0.1502/0.2630 0.1212/0.2271
R1 = ∑(||Fo| − |Fc||)/∑|Fo|. wR2 = [∑w(|Fo|2 − |Fc|2)2/∑w(|Fo|2)2]1/2.
Table 2. Important Bond Lengths (Å) and Angles (deg) for Complexes 1 and 2 1a
1b
Ln−O(rad)
2.349(3)
2.334(3)
Ln−O(hfac) Ln−N Ln−O−N
2.322(3)−2.359(3) 2.572(4) 134.8(3)
2.327(4)−2.369(3) 2.578(4) 134.6(3)
Cu−O(rad) Cu−O(hfac) Cu−N
2.411(3) 1.940(3)−1.948(3) 2.464(4)
2.415(4) 1.944(4)−1.948(3) 2.469(4)
Cu−O−N
156.4(3)
156.2(4)
2b 2.408(6) 2.385(6) 2.386(7) 2.337(6)−2.396(6)
145.4(5) 138.7(5) 144.8(5)
146.1(6) 138.6(5) 145.7(5)
1.928(7)−2.190(7) 1.984(8) 1.984(8) 1.964(8)
1.924(7)−2.174(8) 1.985(8) 1.973(8) 1.972(8)
of dry CHCl3 was added. The solution was refluxed for 30 min, and then solid Cu(hfac)2 (0.0098 g, 0.02 mmol) was added. The resulting solution was stirred for 20 min, cooled to room temperature, and filtered off. The filtrate was kept at room temperature, and after 2 days, blue needlelike crystals (1a; yield 20%) and green block crystals (2a; yield 15%) suitable for X-ray diffraction (XRD) were obtained through the evaporation method. Anal. Calcd for C41H25CuF30N5O13Y (1a; without C6H14): C, 32.44; H, 1.66; N, 4.61. Found: C, 32.35; H, 1.76; N, 4.56. IR (KBr): 3505(w), 1651(s), 1502(m), 1471(m), 1256(s), 1226(s), 1142(s), 804(m), 662(m), 587(m) cm−1. Anal. Calcd for C41H25CuF30N5O13Y (2a): C, 32.44; H, 1.66; N, 4.61. Found: C, 32.51; H, 1.72; N, 4.69. IR (KBr): 3245(s), 1706(s), 1609(s), 1482(m), 1260(s), 1222(s), 1163(s), 1008(s), 767(s), 729(s) cm−1. Preparation of {[DyCu(hfac)5(NIT-Ph-p-OCH2trz)]·xC6H14} (1b, x = 0.5; 2b, x = 0). These two compounds have been synthesized following the procedure described above, but Dy(hfac)3·2H2O (0.0166 g, 0.02 mmol) was used in place of Y(hfac)3·2H2O. Anal. Calcd for C41H25CuF30N5O13Dy (1b; without C6H14): C, 30.94; H, 1.58; N, 4.42. Found: C, 30.87; H, 1.62; N, 4.37. IR (KBr): 3510(w), 1652(s), 1503(m), 1474(m), 1257(s), 1226(s), 1142(s), 801(m), 661(m), 589(m) cm−1. Anal. Calcd for C41H25CuF30N5O13Dy (2b): C, 30.94; H, 1.58; N, 4.42. Found: C, 30.82; H, 1.65; N, 4.39. IR (KBr):
Dy derivatives (1b and 2b) show frequency-dependent out-ofphase signals in a zero field.
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2a 2.404(6) 2.360(6) 2.373(6) 2.329(8)−2.384(6)
EXPERIMENTAL SECTION
Materials and General Methods. All reagents were purchased from commercial sources and used without further purification. The radical ligand NIT-Ph-p-OCH2trz was synthesized according to the literature methods.15 Elemental analysis for C, H, and N were carried out using a PerkinElmer model 240 elemental analyzer. Powder X-ray diffraction (PXRD) data for all four complexes were collected at room temperature on a Rigaku Ultima IV diffractometer using graphitemonochromated Cu Kα radiation. Magnetic measurements were performed on microcrystalline powders held in gelatin capsules; for the Dy derivatives, the powders were mixed to grease. Data were collected on SQUID VSM/MPMS-5 and PPMS-9 magnetometers. The magnetic susceptibilities were corrected for the sample holder and diamagnetic contribution of the constituent atoms by using Pascal’s constants. Preparation of {[YCu(hfac)5(NIT-Ph-p-OCH2trz)]·xC6H14} (1a, x = 0.5; 2a, x = 0). Y(hfac)3·2H2O (0.0150 g, 0.02 mmol) was dissolved in dry boiling hexane (15 mL), and the solution was kept at reflux for 4 h. Then a solution of NIT-Ph-p-OCH2trz (0.0064 g, 0.02 mmol) in 3 mL 13483
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Figure 1. 1D structure for complex 1b and local coordination geometry of the DyIII ion (H and F atoms and solvent are not shown for the sake of clarity). 3243(s), 1607(s), 1482(m), 1261(s), 1221(s), 1163(s), 1005(s), 765(s), 727(s) cm−1. X-ray Structure Determination. The crystal structure data of the four complexes were collected at 113 K with a Rigaku Saturn CCD diffractometer, employing graphite-monochromated Mo Kα (1a and 1b) and Cu Kα (2a and 2b) radiation, respectively. The structures were solved by direct methods with the SHELXS-2014 program and refined by full-matrix least squares on F2 with SHELXL-2014.16 All of the non-H atoms have been refined anisotropically and the H atoms were positioned geometrically and refined as riding atoms with a uniform value of Uiso. Relevant crystal data, collection parameters, and refinement results are given in Table 1. Selected bond lengths and angles of the complexes are listed in Tables 2 and S1−S4.
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positions are occupied by one O atom (O1) of the NO group and one N atom of the triazole of another molecule, respectively. The Cu−Orad bond distance is 2.415(4) Å, and the Cu−N bond length is 2.469(4) Å. Four O atoms from two bidentate hfac ligands lie in the equatorial positions with the Cu−O bond distances of 1.944(4)−1.948(3) Å. The paramagnetic organic ligand coordinates to the metal centers in a tetradentate μ4-η1:η1:η1:η1 mode. It is linked to two DyIII and two CuII ions respectively via its two NO groups and two N atoms of the triazole ring, resulting in a ladder-like arrangement in which the anisole moieties form the rungs of the ladder. The Dy···Cu separations through the NIT motif and the triazole ring are of 8.50 and 6.93 Å, respectively. The Dy···Dy and Cu··· Cu distances across the rungs are 10.64 and 9.04 Å, respectively. Complexes 2a and 2b crystallize in the monoclinic system with the space group P21/c and also display an isostructural structure. Complex 2b is chosen to describe the structure in more detail. The asymmetry unit contains one [DyCu(hfac)5(NIT-Ph-p-OCH2trz)]2 and a [DyCu(hfac)5(NIT-Php-OCH2trz)] unit, which result in two crystallographically independent 1D chains in the crystal lattice. In the chain, each NIT-Ph-p-OCH2trz radical behaves as a tridentate ligand to bind two DyIII ions and one CuII ion in the μ3-η1:η1:η1 mode. The NIT moiety bridges two Dy(hfac)3 units developing into a 1D chain. One N atom from the triazole ring is coordinated to a Cu(hfac)2 unit in the equatorial position. Each DyIII ion is coordinated by two O atoms from two radical ligands and six O atoms from three hfac ligands (Figure 2). Shape analysis of the coordination sphere of the DyIII center indicates that all three DyIII ions are located in distorted square-antiprismatic geometries (D4d; Table S5). The Dy−O(hfac) bond lengths are in the range of those found for 2b (Table 2), and Dy−O(radical)
RESULTS AND DISCUSSION
Synthesis. A promising approach for the rational design of 2p−3d−4f compounds is offered by nitronyl nitroxide derivatives containing additional groups able to coordinate to a metal ion. According to the hard−soft acid−base theory, amine-functionalized nitronyl nitroxides are appealing ligands because of their NO and N groups with coordination preferences for rare-earth and transition-metal ions, respectively. This strategy was recently validated by a series of 2p− 3d−4f compounds.14,17 We now considered triazole-functionalized nitronyl nitroxide because this group is likely to act as a bridging ligand much like the nitronyl nitroxie moiety. The 2p− 3d−4f compounds were obtained by a self-assembly reaction upon mixing the nitronyl nitroxide radical NIT-Ph-p-OCH2trz, Cu(hfac)2, and Ln(hfac)3 in hexane. Two kinds of crystals were formed, and they could be easily separated because of their different colors and shapes. They were found to have similar compositions but revealed different 1D arrangements corresponding to a ladder-type chain and a single-strand coordination polymer, respectively, 1a/1b and 2a/2b. The purities of these four polycrystalline samples were confirmed by PXRD (Figures S1 and S2). Description of the Crystal Structures. X-ray analysis revealed that complexes 1a and 1b crystallize in the triclinic space group P1̅ and are isomorphous. Both complexes possess a ladder-like structure; complex 1b will be briefly described as a representative. As shown in Figure 1, each DyIII ion is located in an eight-coordinated environment with one N atom from the triazole ring of NIT-Ph-p-OCH2trz and seven O atoms, six of which are from three hfac ligands and one is from the NO group of another radical ligand. The coordination sphere around the DyIII ion was analyzed using SHAPE software,18 indicating a distorted square-antiprismatic geometry (D4d; Table S5). The Dy−O(radical) and Dy−N distances are 2.334(3) and 2.578(4) Å, respectively, while the Dy−O(hfac) distances span from 2.327(4) to 2.369(3) Å. The CuII ion is in a (4 + 2)-distorted octahedral environment, in which the axial
Figure 2. 1D structure of complex 2b (H and F atoms are omitted for clarity). 13484
DOI: 10.1021/acs.inorgchem.7b02204 Inorg. Chem. 2017, 56, 13482−13490
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Inorganic Chemistry bond lengths vary from 2.385(6) to 2.408(6) Å. All of the CuII ions are five-coordinated (Figure S9). The Cu1 and Cu3 atoms are in distorted square-pyramidal geometries, where one O atom from the hfac ligand occupies the apical site. The equatorial plane is occupied by three O atoms from two bidentate hfac ligands and one N atom from the triazole unit. The Cu−N distances are 1.985(8) Å for Cu1 and 1.973(8) Å for Cu3. The Cu−O distances in the equatorial plane are comprised between 1.924(7) and 1.956(6) Å for Cu1 and Cu3. The apical Cu−O bond distances are 2.174(8) and 2.188(9) Å for Cu1 and Cu3, respectively. The Cu2 sits in a trigonalbipyramidal environment. Its equatorial plane is formed by two O atoms (O23 and O25) from two hfac ligands and one N atom (N10) from the triazole unit; the apical positions are occupied by two hfac O atoms (O24 and O26). The axial Cu− O distances are 2.110(9) and 1.925(8) Å. Packing of the chains of complex 2b is shown in Figure S10. The shortest intrachain Dy···Dy distance bridged by two NO groups is 8.66 Å, while the nearest interchain Dy···Dy, Cu···Dy, and Cu···Cu separations are found to be 9.75, 9.01, and 9.39 Å, respectively. Magnetic Properties. The temperature dependences of the molar magnetic susceptibility, χM, for complexes 1a and 2a are displayed in Figure 3 in the form of χMT versus T. For
were analyzed by a theoretical expression for the susceptibility ̂ ŜCu. (1) deduced from the spin Hamiltonian Ĥ = −2JSRad χ=
2Ng 2β 2 [3 + exp( − 2J /kT )]−1 kT
(1)
The best fit of the experimental data yielded J = 20.81 cm−1 and g = 2.13. The observed ferromagnetic coupling between the CuII ion and the axial NO unit results from the orthogonality of the magnetic orbital (dx2−y2) of the CuII ion and the radical π* magnetic orbital.19,20 The magnitude of the exchange coupling in 1a is in agreement with those of the reported similar CuII− NO couplings.21−23 The M versus H curve at 2.0 K for complex 1a shows that magnetization smoothly increases with the applied directcurrent (dc) field to reach the value of 2.07 Nβ at 7 T (Figure S11). The experimental magnetization value is above the magnetization calculated from the Brillouin function for two noncorrelated S = 1/2 spins employing g = 2.0 and T = 2 K, which is a further confirmation of the ferromagnetic interactions between the CuII ion and the coordinated radical group. Furthermore, the magnetization value is well reproduced by the behavior obtained with the Brillouin function for S = 1 with g = 2.13, indicating that complex 1a has an S = 1 spin ground state. For complex 2a, the χMT value at room temperature is 0.82 cm3 K mol−1, which is slightly above the expected value of 0.75 cm3 K mol−1 corresponding to the Curie contributions of one radical (S = 1/2) and one CuII (S = 1/2) ion with g = 2.0. With decreasing temperature, the χMT value decreases more and more rapidly to reach 0.47 cm3 K mol−1 at 2 K. According to the crystal structure, 2a can be considered as one 1D S = 1/2 radical chain with uncoupled CuII ions; thus, the magnetic data were analyzed by the Heisenberg chain model with S = 1/2 (the spin Hamiltonian Ĥ = − 2J ∑i ≠ j Sî Sĵ )24 to which the contribution for an independent S = 1/2 was added (see eq 2). χ= +
Ng12β 2 kT Ng2 2β 2 3kT
×
0.25 + 0.18207x 2 1 + 1.5467x + 3.4443x 3
S(S + 1)
x = |J | /kT
S = 1/2
(2)
The best fit resulted in the magnetic parameters J = −5.82 cm−1, g1 = 1.99, and g2 = 2.20. The value of J is comparable to the values found for other yttrium nitronyl nitroxide compounds.25,26 The substantial antiferromagnetic interaction between two radical units via the diamagnetic YIII ion is usually attributed to the superexchange interaction through the empty 5s or 4d orbitals of Y or superexchange mediated by the hfac ligands.25 The latter interaction is suggested by the positioning of the p orbitals of the O atoms of the hfac ligand perpendicular to the O1−O2 direction of the two NO groups, which may ensure orbital overlap, thus providing a passageway for antiferromagnetic interactions.25c The field dependence of magnetization shows a steady increase of M with the magnetic field, but saturation is not reached (Figure S12). The value of 1.73 Nβ reached for 70 kOe confirms that antiferromagnetic interactions are operative in this system. For complexes 1b and 2b, the values of χMT at 300 K are respectively 14.95 and 15.08 cm3 K mol−1, close to the expected value of 14.92 cm3 K mol−1 for one DyIII ion, one radical (S =
Figure 3. χMT versus T plots of complexes 1a (top) and 2a (bottom). The solid lines represent the best fits of the experimental data to the magnetic models described in the text.
compound 1a, the χMT product is 0.84 cm3 K mol−1 at 300 K, which is slightly above the expected value of 0.75 cm3 K mol−1 for one isolated radical (S = 1/2) and one CuII (S = 1/2) ion with g = 2.0. Upon cooling, χMT increases to reach a value of 1.07 cm3 K mol−1 at 2 K, thus revealing ferromagnetic radical− CuII interactions in the ladder. The magnetic behavior of complex 1a mainly results from isolated Cu−radical magnetic units due to diamagnetic YIII ions; therefore, the magnetic data 13485
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/2), and one CuII (S = 1/2) ion with g = 2.0 in the absence of exchange interactions. For complex 1b, the value of χMT gradually decreases when the temperature is lowered to reach a value of 14.0 cm3 K mol−1 at 24 K (Figure 4), which can be
plot shows a linear region between 4.0 and 14.0 K (Figure 4, inset), confirming the 1D Ising-like character of this compound. Analysis of the linear variation of the data yielded for Δξ a value of 0.24 K. The M versus H behavior at 2.0 K for 1b is characterized by a fast increase of M for fields below 10 kOe, followed by a more gradual but continuous augmentation for higher fields to reach 7.0 Nβ at 50 kOe (Figure S13). For complex 2b, with decreasing temperature, the χMT product smoothly decreases from 15.08 to 11.94 cm3 K mol−1 at 8.5 K, then slightly increases to reach 12.55 cm3 K mol−1 at 4.0 K, and finally drops to 9.32 cm3 K mol−1 at 2.0 K (Figure 4). The observed χMT−T curve is similar to those of the previously reported dysprosium nitronyl nitroxide chains.4a,b,27 Complex 2b also shows a linear region between 4.4 and 8.8 K, and the value of Δξ is 0.451 K, confirming the 1D Ising-like character of this complex (Figure 4, inset). The field dependence of magnetization at 2 K for this compound shows a behavior similar to that of 1b (Figure S14), with magnetization of 7.36 Nβ for 70 kOe. In order to assess the relaxation dynamics of 1b and 2b, the frequency dependence of the χ′ and χ″ signals were examined in a frequency range of 10−10000 Hz without applying a dc field. For complex 1b, both the in-phase and out-of-phase signals show temperature dependencies, and two well-resolved maxima in χ″ are observed below 2.6 K (Figures 5 and S16). The relaxation time (τ) was extracted by a fitting to the χ″ versus frequency curves using a Debye model modified for two relaxation processes,28 and the obtained parameters are given in Table S6. The variation of τ as a function of T−1 (Figure 6)
Figure 4. Plots of χMT versus T for 1b (top) and 2b (bottom). Insets: ln(χT) versus 1/T plots. The solid lines represent the fits.
attributed to the crystal-field effect for DyIII. As the temperature is further lowered, the curve increases abruptly, reaches 14.50 cm3 K mol−1 at 4.0 K, and finally drops to 14.27 cm3 K mol−1 at 2.0 K. The observed increase of the χMT value at low temperature may be ascribed to the anticipated ferromagnetic interaction between the metal ions and the coordinated NO group of the organic radical. Moreover, evidence for exchange interactions between the Dy and Cu centers mediated by the triazole ligand is provided by the plot of ln(χMT) = f(T). For a 1D Ising system, the χT product is expected to follow a behavior such as χT varies as Cexp(Δ ξ /T), where Δ ξ corresponds to the energy barrier for producing a domain wall along the chain.2b For complex 1b, the ln(χT) versus 1/T
Figure 6. Plots of ln τ versus 1/T for complex 1b. The solid line represents the fit to the Arrhenius law.
Figure 5. (left) Frequency dependence of the out-of-phase components for the ac magnetic susceptibility in a zero field for 1b. (right) Cole−Cole plots for 1b. The solid lines represent the best fits with modified Debye functions (see the text). 13486
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Figure 7. (left) Frequency dependence of the out-of-phase components for the ac magnetic susceptibility in a zero field for 2b. (right) Cole−Cole plots for 2b. The solid lines represent the best fits with generalized Debye functions (see the text).
4.0 K. The present work illustrates that the use of functionalized nitronyl nitroxide radicals represents an appealing strategy for preparing 2p−3d−4f heterotrispin compounds, not only to enrich the structural diversity of 2p−3d−4f compounds but also for to modulate the magnetic behavior of the 2p−3d−4f systems.
shows mainly a temperature-independent behavior for the highfrequency maximum, while a linear variation is found for the low-frequency peaks. The low-frequency data were fitted using the Arrhenius equation to afford the parameters Ueff = 21.0 K and τ0 = 5.37 × 10−8 s. The Cole−Cole plots have been constructed, and two relaxation processes are also obvious below 2.6 K (Figure 5). Information on the distribution width of the relaxation time was obtained from the fitting of the relaxation processes via a modified Debye model (vide ante), yielding values of 0.01−0.49 for α1 and 0.04−0.27 for α2 for temperatures between 2.0 and 3.0 K. Multiple relaxation processes classically arise from structurally inequivalent magnetic centers29 but also could derive from the individual magnetic ions.30 For the latter, additional relaxation processes can be associated with the weak magnetic coupling or phonon effects.31 For 1b, the magnetic relaxation found for the lower frequencies may be attributed to the Orbach process, while the slow relaxation detected at high frequency is likely to be associated with a phonon process. To come to a conclusion on the relaxation mechanism for the present system, further investigations such as magnetic dilution and theoretical calculations would be required. For 2b, both χ′ and χ″ components of the alternating-current (ac) susceptibility feature strong frequency-dependent phenomena (Figure 7). The peak maximum of the χ″ signal exhibits a gradual shift toward the high-frequency region as the temperature is increased. The Cole−Cole plots of 2b exhibit a symmetrically semicircular shape below 2.7 K (Figure 7); their analysis with the generalized Debye model32 yielded the magnetization relaxation time (τ) and distribution width (α) (Table S7). The obtained α values vary from 0.18 to 0.49, indicating a rather broad distribution of relaxation times. As shown in Figure S18, the relaxation time (τ) versus T−1 curve features a linear relationship. The best fit to the Arrhenius equation gave the effective energy barrier (Ueff) of 29.0 K with a preexponential factor (τ0) of 6.1 × 10−10 s, which well compares to those of the previously reported dysprosium nitronyl nitroxide SCMs.4a,b,27
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ASSOCIATED CONTENT
S Supporting Information *
The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acs.inorgchem.7b02204. Tables of selected bond lengths and angles, XRD analysis, crystal structure, packing diagram, additional magnetic data, and tables for the fitting results of complexes 1b and 2b using Debye model (PDF) Accession Codes
CCDC 1558373−1558376 contain the supplementary crystallographic data for this paper. These data can be obtained free of charge via www.ccdc.cam.ac.uk/data_request/cif, or by emailing
[email protected], or by contacting The Cambridge Crystallographic Data Centre, 12 Union Road, Cambridge CB2 1EZ, UK; fax: +44 1223 336033.
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AUTHOR INFORMATION
Corresponding Authors
*E-mail:
[email protected] (L.L.). *E-mail:
[email protected] (J.-P.S.). ORCID
Licun Li: 0000-0001-8380-2946 Jean-Pascal Sutter: 0000-0003-4960-0579 Notes
The authors declare no competing financial interest.
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ACKNOWLEDGMENTS This work was supported by the National Natural Science Foundation of China (Grant 21471083).
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CONCLUSIONS A new family of heterotrispin complexes based on triazolesubstituted nitronyl nitroxide radicals has been successfully obtained through the self-assembly method. Remarkably, an unprecedented ladder-like arrangement of alternating 2p−3d− 4f spins was achieved, with exchange interactions propagating along the rails. The corresponding derivative made of dysprosium exhibits slow magnetic relaxation behavior below
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