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Keywords = slow magnetic relaxation

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9 pages, 1404 KB  
Article
Impact of O/S Substitution on Ligand Field and Single-Ion Magnetic Properties of Co(II) N3-Containing Octahedral Complexes
by Yan-Fang Wu, Zheng Huang, Jing Wei, Rong-Jie Hao, Jia-Ying Wang, Yan Peng, Ning Song, Zhao-Bo Hu, Yu-Hui Tan and Yun-Zhi Tang
Magnetochemistry 2026, 12(4), 45; https://doi.org/10.3390/magnetochemistry12040045 - 7 Apr 2026
Viewed by 517
Abstract
Electronics evolution drives SMMs as a frontier, overcoming conventional magnetic material limits via molecular spin coupling. Two relevant Co(II) mononuclear complexes, [Co(MOP)4(N3)2] (1) and [Co(MSP)4(N3)2] (2) (MOP [...] Read more.
Electronics evolution drives SMMs as a frontier, overcoming conventional magnetic material limits via molecular spin coupling. Two relevant Co(II) mononuclear complexes, [Co(MOP)4(N3)2] (1) and [Co(MSP)4(N3)2] (2) (MOP = 4-methoxypridine and MSP = 4-methylthiopyridine) were synthesized through changing the substituents of ligands. The Co(II) ions in the two complexes show octahedron coordination geometries. The replacement of the O to S in the equatorial plane leads to different Jahn–Teller effect because of the shorter Co(II)-N in the equatorial plane, resulting in the significantly different slow relaxation process confirmed by ab initio calculation. The results confirm the Co(II) ion is sensitive to ligand field. Full article
(This article belongs to the Section Molecular Magnetism)
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10 pages, 819 KB  
Article
Ultrafast Spin Dynamics of Pt/Gd19(Co0.8Fe0.2)81/Ta Heterostructure Investigated by Double-Pump Terahertz Emission Spectroscopy
by Changwei Li, Bo Lu, Nuoxi Yu, Zhangshun Li, Haoran Xu, Huiping Zhang and Zuanming Jin
Nanomaterials 2026, 16(7), 390; https://doi.org/10.3390/nano16070390 - 24 Mar 2026
Viewed by 533
Abstract
Ultrafast spin dynamics is a core research focus for advancing ultrafast spintronic devices, yet its accurate quantitative probing remains a challenge with conventional time-resolved techniques. Herein, we employ double-pump optical pump–terahertz emission spectroscopy (OPTE) to investigate the ultrafast spin dynamics of a Pt/Gd [...] Read more.
Ultrafast spin dynamics is a core research focus for advancing ultrafast spintronic devices, yet its accurate quantitative probing remains a challenge with conventional time-resolved techniques. Herein, we employ double-pump optical pump–terahertz emission spectroscopy (OPTE) to investigate the ultrafast spin dynamics of a Pt/Gd19(Co0.8Fe0.2)81/Ta ferrimagnetic rare-earth–transition-metal heterostructure. Experimental measurements resolve a single-step ultrafast demagnetization process with a characteristic time of ~0.42 ± 0.02 ps, followed by two-stage magnetic recovery involving a fast relaxation and a slow relaxation process. The fast and slow recovery time constants show a distinct positive dependence on the control pump fluence, increasing from 2.49 ± 0.11 ps to 3.28 ± 0.03 ps and 57.36 ± 11.28 ps to 164.96 ± 1.61 ps, respectively, as the pump fluence rises from 0.80 to 1.19 mJ/cm2. The ~0.42 ps demagnetization timescale is consistent with that of 3d transition metals, indicating the transient magnetic response of the low-Gd-concentration heterostructure is dominated by the CoFe sublattice. Our findings validate that OPTE is an effective approach for the quantitative characterization of electron–lattice–spin coupling processes in spin-based heterostructures and provide critical experimental insights for controllable manipulation of ultrafast spin dynamics, laying a foundation for the design of ultrafast terahertz spintronic devices. Full article
(This article belongs to the Special Issue Ultrafast Terahertz Photonics in Nanoscale and Applications)
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26 pages, 5501 KB  
Review
Ligand-Induced Self-Assembly of Clusters by Pyridine–Amine–Carboxylate Frameworks of 3D Transition Metals: Structural and Magnetic Aspects
by Amit Rajput, Akram Ali, Himanshu Arora and Akhilesh Kumar
Magnetochemistry 2026, 12(2), 22; https://doi.org/10.3390/magnetochemistry12020022 - 4 Feb 2026
Viewed by 2031
Abstract
The ligand-driven self-assembly of metal clusters offers a powerful strategy for constructing discrete molecular architectures with tunable magnetic and structural properties. By judiciously selecting appropriate multidentate ligands, researchers can direct the formation of polynuclear metal assemblies with diverse nuclearities, geometries, and topologies. Coordination-driven [...] Read more.
The ligand-driven self-assembly of metal clusters offers a powerful strategy for constructing discrete molecular architectures with tunable magnetic and structural properties. By judiciously selecting appropriate multidentate ligands, researchers can direct the formation of polynuclear metal assemblies with diverse nuclearities, geometries, and topologies. Coordination-driven processes commonly stabilize such assemblies where multidentate ligands operate as templates and linkers. These will also determine how the metal centers are arranged in space and how they connect to each other. These clusters can take on shapes that range from basic bridging dimers to more complicated icosahedral and cubane-type motifs. They often have excellent symmetry and strong frameworks. Magnetically, these clusters are a great place to study exchange interactions, spin frustration, and the behavior of single-molecule magnets (SMMs). The magnetic characteristics depend on things like the type of metal ions, the bridging ligands, the overall shape, and the local coordination environment. Interestingly, a large number of ligand-assembled clusters exhibit high spin ground states and slow magnetization relaxation, which makes them attractive options for quantum information storage and molecular spintronic devices. This review connects coordination chemistry, supramolecular design, and molecular magnetism of pyridine–amine–carboxylate frameworks, offering insights into fundamental magnetic phenomena and guiding the development of next-generation functional materials. Continued exploration of ligand frameworks and metal combinations holds the potential to yield novel clusters with enhanced or unprecedented magnetic characteristics. Full article
(This article belongs to the Special Issue Stimuli-Responsive Magnetic Molecular Materials—2nd Edition)
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14 pages, 2386 KB  
Article
Introduction of RKKY-pMTJ-Based Ultrafast Magnetic Sensor Architecture and Magnetic Multilayer Optimization
by Jaehun Cho and June-Seo Kim
Sensors 2025, 25(21), 6793; https://doi.org/10.3390/s25216793 - 6 Nov 2025
Cited by 2 | Viewed by 1109
Abstract
A state-of-the-art tunnel magnetoresistance (TMR) sensor architecture, which is based on the perpendicularly magnetized magnetic tunnel junction (pMTJ), is introduced and engineered for ultrafast, high thermal stability, and linearity for magnetic field detection. Limitations in high-frequency environments, stemming from insufficient thermal stability and [...] Read more.
A state-of-the-art tunnel magnetoresistance (TMR) sensor architecture, which is based on the perpendicularly magnetized magnetic tunnel junction (pMTJ), is introduced and engineered for ultrafast, high thermal stability, and linearity for magnetic field detection. Limitations in high-frequency environments, stemming from insufficient thermal stability and slow recovery times in conventional TMR sensors, are overcome by this approach. The standard MRAM structure is modified, and the Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction is employed to give a strong, internal restoring torque to the storage layer magnetization. Sensor linearity is also ensured by this RKKY mechanism, and rapid relaxation to the initial spin state is observed when an external field is removed. The structural and magnetic properties of the multilayer stack are experimentally demonstrated. Robust synthetic antiferromagnetic (SAF) coupling is confirmed by using polar MOKE spectroscopy with an optimal Ru insertion layer thickness (0.6 nm), which is essential for high thermal stability. Subsequently, an ultrafast response of this TMR sensor architecture is probed by micromagnetic simulations. The storage layer magnetization rapidly recovers to the SAF state within an ultrashort time of 5.78 to 5.99 ns. This sub-6 ns recovery time scale suggests potential operation into the hundreds of MHz range. Full article
(This article belongs to the Section State-of-the-Art Sensors Technologies)
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12 pages, 2631 KB  
Article
A Dy2 Complex Constructed by TCNQ·− Radical Anions with Slow Magnetic Relaxation Behavior
by Xirong Wang, Shijia Qin, Xiulan Li, Wenjing Zuo, Qinglun Wang, Licun Li, Yue Ma, Jinkui Tang and Bin Zhao
Magnetochemistry 2025, 11(9), 75; https://doi.org/10.3390/magnetochemistry11090075 - 26 Aug 2025
Cited by 2 | Viewed by 1353
Abstract
A centrosymmetric dinuclear complex, [Dy2(H2dapp)2(μ-OH)2(H2O)2]·4TCNQ·2CH3OH, was synthesized using the TCNQ·− radical anion (TCNQ = 7,7,8,8-tetracyanoquino-dimethane) and pentadentate nitrogen-containing Schiff base ligand (H2dapp = 2,6-diacetylpyridine)-bis(2-pyridylhydrazone). [...] Read more.
A centrosymmetric dinuclear complex, [Dy2(H2dapp)2(μ-OH)2(H2O)2]·4TCNQ·2CH3OH, was synthesized using the TCNQ·− radical anion (TCNQ = 7,7,8,8-tetracyanoquino-dimethane) and pentadentate nitrogen-containing Schiff base ligand (H2dapp = 2,6-diacetylpyridine)-bis(2-pyridylhydrazone). In the Dy2 dimer, the two DyIII ions adopt eight-coordinated geometries intermediate between D4d and D2d symmetries, linked by two OH groups, with ferromagnetic Dy-Dy interactions. The TCNQ·− radical anions are uncoordinated, and they pack tightly into antiparamagnetic dimers to balance the system charge. Under zero field, weak magnetic relaxation was observed, with an approximate Δeff = 2.82 K and τ0 = 6.88 × 10−6 s. This might be attributed to the short intermolecular Dy···Dy distance of 7.97 Å, which could enhance intermolecular dipolar interactions and quantum tunneling of magnetization (QTM). Full article
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15 pages, 2189 KB  
Article
Synthesis, Crystal Structures and Magnetic Properties of Lanthanide Complexes with Rhodamine Benzoyl Hydrazone Ligands
by Lin Miao, Dong-Mei Zhu, Cai-Ming Liu, Yi-Quan Zhang and Hui-Zhong Kou
Magnetochemistry 2025, 11(8), 68; https://doi.org/10.3390/magnetochemistry11080068 - 7 Aug 2025
Cited by 2 | Viewed by 1728
Abstract
Given the outstanding magnetic characteristics of lanthanide ions, the development of mononuclear or multinuclear lanthanide complexes becomes imperative. Previous research showed that a series of mononuclear Dy(III) complexes of rhodamine benzoyl hydrazone Schiff base ligands exhibit remarkable single-molecule magnetic properties and fluorescence. In [...] Read more.
Given the outstanding magnetic characteristics of lanthanide ions, the development of mononuclear or multinuclear lanthanide complexes becomes imperative. Previous research showed that a series of mononuclear Dy(III) complexes of rhodamine benzoyl hydrazone Schiff base ligands exhibit remarkable single-molecule magnetic properties and fluorescence. In this study, we used analogous ligands to synthesize lanthanide complexes [Dy(HL1-o)(NO3)2(CH3OH)2]NO3·CH3OH (complex 1·MeOH) and tetranuclear complexes [Ln4(L1-c)2(L2)23-OH)2(NO3)2(CH3OH)4](NO3)2·2CH3CN·5CH3OH·2H2O (Ln = Dy, complex 2; Ln = Gd, complex 3). Magnetic susceptibility measurements show that 1·2H2O is a single-molecule magnet, 2 shows slow magnetic relaxation and 3 is a magnetic cooling material with the magnetic entropy change of 9.81 J kg−1 K−1 at 2 K and 5 T. The theoretical calculations on 1·MeOH indicate that it shows good magnetic anisotropy with the calculated energy barrier of 194.6 cm−1. Full article
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12 pages, 2889 KB  
Article
A Coordination Polymer of Dy(III) with Polycarboxylic Acid Ligand: Synthesis, Characterization and Magnetic Properties
by Mingli Liu, Zhiyu Meng, Xinfang Wang and Yanan Cui
Crystals 2025, 15(6), 550; https://doi.org/10.3390/cryst15060550 - 9 Jun 2025
Viewed by 1894
Abstract
A dysprosium-based metal–organic framework (MOF), namely [DyLH2O]n (1) (H3L = 4-((bis(carboxymethyl) amino)methyl)benzoic acid), was successfully synthesized via the hydrothermal method. According to the structural characterization, metal centers in this complex are linked by four bridges (two [...] Read more.
A dysprosium-based metal–organic framework (MOF), namely [DyLH2O]n (1) (H3L = 4-((bis(carboxymethyl) amino)methyl)benzoic acid), was successfully synthesized via the hydrothermal method. According to the structural characterization, metal centers in this complex are linked by four bridges (two oxygens and two carboxylic groups), leading to Dy2 units. On further connection by single carboxylic groups, the dimeric units extend to form a two-dimensional layer with a 44 topological structure. Finally, the 2D layers were assembled into a 3D framework by the L−3 anions. A thermogravimetric test shows that [DyLH2O]n can maintain high thermal stability after losing water, until the temperature reaches 426 °C. Magnetic studies on 1 reveal antiferromagnetic exchange interactions of Dy3+…Dy3+ at low temperatures. Additionally, frequency-dependent out-of-phase signals were observed in alternating current (ac) magnetic susceptibility measurements for 1, indicating that it has slow magnetic relaxation features. Full article
(This article belongs to the Section Macromolecular Crystals)
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17 pages, 1665 KB  
Article
Field-Induced Slow Magnetic Relaxation in Pentacoordinate Co(II) Complexes: Tuning Magnetic Anisotropy Through Halide Substitution
by Hong-Yao Guo, Wei-Quan Lin and Ji-Dong Leng
Molecules 2025, 30(11), 2295; https://doi.org/10.3390/molecules30112295 - 23 May 2025
Cited by 1 | Viewed by 1163
Abstract
We report the synthesis, structural characterization, and magnetic properties of three pentacoordinate Co(II) complexes [CoX(dppb)2]X (X = Cl (1Cl), Br (2Br), and I (3I)) supported by the bidentate phosphine ligand 1,2-bis(diphenylphosphino)benzene (dppb). Single-crystal X-ray diffraction [...] Read more.
We report the synthesis, structural characterization, and magnetic properties of three pentacoordinate Co(II) complexes [CoX(dppb)2]X (X = Cl (1Cl), Br (2Br), and I (3I)) supported by the bidentate phosphine ligand 1,2-bis(diphenylphosphino)benzene (dppb). Single-crystal X-ray diffraction reveals that all three complexes adopt similar vacant octahedron (C4v) geometries with the halide ligand in one axial position. Magnetic studies demonstrate that these complexes exhibit field-induced slow magnetic relaxation behaviors, with positive D values of 25.3(2), 21.6(1), and 19.4(2) cm−1 for 1Cl, 2Br, and 3I, respectively. Detailed analysis of the relaxation dynamics reveals that Raman processes dominate at higher temperatures, with systematic variations in relaxation parameters across the series. The systematic variations in magnetic anisotropy and slow magnetic relaxation behaviors of the three complexes correlate with the decreasing electronegativity of the halide ligands. Full article
(This article belongs to the Special Issue Functional Coordination Compounds: Design, Synthesis and Applications)
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13 pages, 4778 KB  
Article
Synthesis, X-Ray Crystal Structures, and Magnetic Properties of a Series of Trinuclear Rare-Earth Hepta-Chloride Clusters
by Yingying Pan, You-Song Ding, Lei Li and Zhiping Zheng
Magnetochemistry 2025, 11(5), 38; https://doi.org/10.3390/magnetochemistry11050038 - 2 May 2025
Cited by 1 | Viewed by 2580
Abstract
Organometallic rare-earth complexes have attracted considerable attention in recent years due to their unique structures and exceptional magnetic properties. In this study, we report the synthesis and magnetic characteristics of a family of monopentamethylcyclopentadienyl-coordinated trinuclear rare-earth hepta-chloride clusters [(Li(THF)(Et2O))(Cp*RE) [...] Read more.
Organometallic rare-earth complexes have attracted considerable attention in recent years due to their unique structures and exceptional magnetic properties. In this study, we report the synthesis and magnetic characteristics of a family of monopentamethylcyclopentadienyl-coordinated trinuclear rare-earth hepta-chloride clusters [(Li(THF)(Et2O))(Cp*RE)3(μ-Cl)4(μ3-Cl)2(μ4-Cl)] (RE3: RE =Y, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu; Cp* = pentamethylcyclopentadienide). These clusters were synthesized by reacting LiCp* with RECl3 in a 1:1 molar ratio within a mixed solvent system (THF: Et2O = 1:9), resulting in high solubility in common organic solvents such as DCM, THF, and Et2O. Magnetic studies conducted on these paramagnetic clusters reveal the coexistence of ferromagnetic and antiferromagnetic superexchange interactions in Gd3. Additionally, Dy3 exhibits both ferromagnetic and antiferromagnetic intramolecular dipolar interactions. Notably, slow magnetic relaxation was observed in Dy3 below 23 K under a zero DC applied field with an energy barrier of 125(6) cm−1. Full article
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17 pages, 3303 KB  
Article
Lanthanoid Coordination Polymers Based on Homoditopic Picolinate Ligands: Synthesis, Structure and Magnetic Properties
by Verónica Jornet-Mollá, Carlos J. Gómez-García, Miquel J. Dolz-Lozano and Francisco M. Romero
Magnetochemistry 2025, 11(4), 31; https://doi.org/10.3390/magnetochemistry11040031 - 7 Apr 2025
Cited by 3 | Viewed by 2121
Abstract
A ditopic ligand (H2L1), containing picolinate subunits segmented by ethynylene bridges, has been used in the synthesis of a series of isostructural coordination polymers, formulated as [(CH3)2NH2][Ln(L1)2]·H2 [...] Read more.
A ditopic ligand (H2L1), containing picolinate subunits segmented by ethynylene bridges, has been used in the synthesis of a series of isostructural coordination polymers, formulated as [(CH3)2NH2][Ln(L1)2]·H2O·CH3COOH, where Ln = Eu (1), Gd (2), Tb (3), Dy (4) and Ho (5). The single-crystal structures show that these compounds crystallise in the orthorhombic Pna21 space group and form 3D anionic lattices with triangular cavities. AC magnetic susceptibility measurements show that the Gd, Tb and Dy derivatives (24) present a slow relaxation in their magnetisation under an applied DC magnetic field. The detailed study of the AC susceptibility in compounds 2 and 4 shows that they relax following direct and Orbach mechanisms under these conditions. The Dy derivative (4) retains this behaviour in the absence of an external field, relaxing via quantum tunnelling and Orbach mechanisms. Compound 2 is one of the very few reported Gd(III) compounds showing slow relaxation in its magnetisation. Full article
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14 pages, 4754 KB  
Article
Slow Relaxation of Magnetization and Magnetocaloric Effects in One-Dimensional Oxamato-Based Lanthanide(III) Coordination Polymers
by Jhonny W. Maciel, Lucas H. G. Kalinke, Renato Rabelo, Meiry E. Alvarenga, Felipe Terra Martins, Nicolás Moliner and Danielle Cangussu
Magnetochemistry 2025, 11(4), 23; https://doi.org/10.3390/magnetochemistry11040023 - 24 Mar 2025
Cited by 3 | Viewed by 1954
Abstract
Herein, we present the synthesis and characterization of a series of isostructural lanthanide(III) compounds with the N-(4-carboxyphenyl)oxamic acid (H3pcpa) ligand of the general formula as {[Ln2(Hpcpa)3(H2O)5]}n [Ln = Dy(III) 1, [...] Read more.
Herein, we present the synthesis and characterization of a series of isostructural lanthanide(III) compounds with the N-(4-carboxyphenyl)oxamic acid (H3pcpa) ligand of the general formula as {[Ln2(Hpcpa)3(H2O)5]}n [Ln = Dy(III) 1, Ho(III) 2, Er(III) 3]. The structure of 3 consists of neutral zig–zag chains of Er(III) ions, with Hpcpa2– ligands acting as bridges in a bidentate/monodentate coordination mode with five water molecules achieving the eight-coordination around the two Er(III) ions within the repeating bis(carboxylate)-bridged dinuclear units along the chain. The magnetic and magnetocaloric properties were studied for 13. Compound 1 presents a field-induced slow relaxation of the magnetization with a “reciprocating thermal behavior” below 5 K for H = 0.25 T, while 2 shows maxima of the magnetic entropy from 3 up to 6 K for ΔH > 2 T. Full article
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13 pages, 4399 KB  
Article
Enhancing the Magnetic Behaviors of Dy2 Complexes by Modulating the Crystal Field Environment with Different μ-O Bridging Ligands
by Xirong Wang, Min Zhou, Wen Wang, Fangting Zhu, Shijia Qin, Xiulan Li, Feifei Bai, Qinglun Wang, Licun Li, Yue Ma and Bin Zhao
Molecules 2025, 30(6), 1260; https://doi.org/10.3390/molecules30061260 - 11 Mar 2025
Cited by 1 | Viewed by 1472
Abstract
Four similar dinuclear lanthanide complexes have been synthesized by linking two [Ln(hfac)2–3] units (hfac stands for hexafluoroacetylacetone) with different μ-O bridging ligands. The 2,2′-bipyridine-N-oxide ligand (bmpo) constructed two centrosymmetric complexes [Ln2(hfac)6(bmpo)2] (Ln = Dy( [...] Read more.
Four similar dinuclear lanthanide complexes have been synthesized by linking two [Ln(hfac)2–3] units (hfac stands for hexafluoroacetylacetone) with different μ-O bridging ligands. The 2,2′-bipyridine-N-oxide ligand (bmpo) constructed two centrosymmetric complexes [Ln2(hfac)6(bmpo)2] (Ln = Dy(1), Tb(2)), with nine-coordinated LnIII ions showing Cs low symmetry, while the ligand di(2-pyridyl)methanediol (py2C(OH)2) formed another two compounds [Ln2(hfac)4(py2C(OH)O)2] (Ln = Dy(3), Tb(4)), with two kinds of eight-coordinated LnIII ions exhibiting improved symmetries of D4d and D2d. Magnetic analysis reveals that Dy2 complex 1 shows intramolecular antiferromagnetic coupling (J = −1.07 cm−1) and no relaxation process above 2.0 K even in a 1000 Oe dc field, owing to the low symmetry of DyIII ions, while the similar Dy2 complex 3 with improved DyIII symmetry shows ferromagnetic coupling (J = 1.17 cm−1), which induces a 1000 Oe dc field-induced two-step magnetization relaxation processes with effective energy barrier Ueff = 47.4 K and 25.2 K for the slow relaxation and fast relaxation processes, respectively. This study proves again that the improved symmetry combined with intramolecular ferromagnetic interactions, both mediated by bridging ligands, can enhance the DyIII anisotropy, further quench the quantum tunneling of the magnetization, and finally, enhance the magnetic behavior of LnIII-based systems. Full article
(This article belongs to the Section Inorganic Chemistry)
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11 pages, 10123 KB  
Article
Magnetic Anisotropy and Slow Magnetic Relaxation in Two Mononuclear Octahedral Cobalt(II) Complexes
by Hui-Hui Cui, Dou-Zun Wang, Shixiang Li, Leixin Wang, Xinrui Yu, Xiancong Liu, Jin Wang, Miao Wang and Yanfeng Tang
Magnetochemistry 2025, 11(2), 11; https://doi.org/10.3390/magnetochemistry11020011 - 11 Feb 2025
Cited by 1 | Viewed by 1887
Abstract
Two mononuclear octahedral Co(II) complexes, [Co(L)X2] (L = 1-(prop-2-en-1-yl)-1H-imidazole, X = NCS (1) and NCSe (2)), have been synthesized and characterized. The central Co(II) ions in two complexes adopt an octahedral geometry, coordinated [...] Read more.
Two mononuclear octahedral Co(II) complexes, [Co(L)X2] (L = 1-(prop-2-en-1-yl)-1H-imidazole, X = NCS (1) and NCSe (2)), have been synthesized and characterized. The central Co(II) ions in two complexes adopt an octahedral geometry, coordinated by four N atoms from the ligand and two N atoms from the anion. Direct-current magnetic data revealed large easy-plane magnetic anisotropy in both 1 and 2. Dynamic magnetic measurements demonstrated that 1 and 2 display field-induced slow magnetic relaxation. For 1 and 2, the Raman mechanism is found to the dominant process in the whole temperature range. Compared to 1, the magnetic relaxation of 2 is faster, likely due to the presence of the hydrogen bonding system in 2. Full article
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14 pages, 2876 KB  
Article
Slow Relaxation of the Magnetisation in a Two-Dimensional Metal–Organic Framework with a Layered Square Lattice
by Samia Benmansour, Christian Cerezo-Navarrete and Carlos J. Gómez-García
Magnetochemistry 2025, 11(1), 1; https://doi.org/10.3390/magnetochemistry11010001 - 26 Dec 2024
Cited by 4 | Viewed by 1948
Abstract
Herein, we present the synthesis and structural characterisation of two layered MOFs with the asymmetric ligand 3-chloro,6-cyano-2,5-dihydroxy-1,4-benzoquinone dianion (C6O4(CN)Cl2− = chlorocyananilato). These compounds, formulated as (H3O)[Eu(C6O4(CN)Cl)2(H2O)]·34H2O [...] Read more.
Herein, we present the synthesis and structural characterisation of two layered MOFs with the asymmetric ligand 3-chloro,6-cyano-2,5-dihydroxy-1,4-benzoquinone dianion (C6O4(CN)Cl2− = chlorocyananilato). These compounds, formulated as (H3O)[Eu(C6O4(CN)Cl)2(H2O)]·34H2O (1) and (H3O)[Dy(C6O4(CN)Cl)2(H2O)]·44H2O (2), are isostructural and show a (4,4)-layered square structure with the crystallisation water molecules located between the layers. The lanthanoid ions are surrounded by four bis-bidentate chlorocyananilato ligands that connect each LnIII centre with other four, giving rise to square cavities formed by LnIII centres in the vertices and chlorocyananilato ligands as the sides. There is an additional coordinated water molecule that occupies the caped position of the capped square antiprismatic coordination geometry around the LnIII centres. The magnetic properties show the presence of a field-induced slow relaxation of the magnetisation in the DyIII derivative at low temperatures that follows Direct and Orbach relaxation mechanisms with an energy barrier of 36(3) K. Full article
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30 pages, 16539 KB  
Article
HDNLS: Hybrid Deep-Learning and Non-Linear Least Squares-Based Method for Fast Multi-Component T1ρ Mapping in the Knee Joint
by Dilbag Singh, Ravinder R. Regatte and Marcelo V. W. Zibetti
Bioengineering 2025, 12(1), 8; https://doi.org/10.3390/bioengineering12010008 - 25 Dec 2024
Cited by 2 | Viewed by 1918
Abstract
Non-linear least squares (NLS) methods are commonly used for quantitative magnetic resonance imaging (MRI), especially for multi-exponential T1ρ mapping, which provides precise parameter estimation for different relaxation models in tissues, such as mono-exponential (ME), bi-exponential (BE), and stretched-exponential (SE) models. However, NLS may [...] Read more.
Non-linear least squares (NLS) methods are commonly used for quantitative magnetic resonance imaging (MRI), especially for multi-exponential T1ρ mapping, which provides precise parameter estimation for different relaxation models in tissues, such as mono-exponential (ME), bi-exponential (BE), and stretched-exponential (SE) models. However, NLS may suffer from problems like sensitivity to initial guesses, slow convergence speed, and high computational cost. While deep learning (DL)-based T1ρ fitting methods offer faster alternatives, they often face challenges such as noise sensitivity and reliance on NLS-generated reference data for training. To address these limitations of both approaches, we propose the HDNLS, a hybrid model for fast multi-component parameter mapping, particularly targeted for T1ρ mapping in the knee joint. HDNLS combines voxel-wise DL, trained with synthetic data, with a few iterations of NLS to accelerate the fitting process, thus eliminating the need for reference MRI data for training. Due to the inverse-problem nature of the parameter mapping, certain parameters in a specific model may be more sensitive to noise, such as the short component in the BE model. To address this, the number of NLS iterations in HDNLS can act as a regularization, stabilizing the estimation to obtain meaningful solutions. Thus, in this work, we conducted a comprehensive analysis of the impact of NLS iterations on HDNLS performance and proposed four variants that balance estimation accuracy and computational speed. These variants are Ultrafast-NLS, Superfast-HDNLS, HDNLS, and Relaxed-HDNLS. These methods allow users to select a suitable configuration based on their specific speed and performance requirements. Among these, HDNLS emerges as the optimal trade-off between performance and fitting time. Extensive experiments on synthetic data demonstrate that HDNLS achieves comparable performance to NLS and regularized-NLS (RNLS) with a minimum of a 13-fold improvement in speed. HDNLS is just a little slower than DL-based methods; however, it significantly improves estimation quality, offering a solution for T1ρ fitting that is fast and reliable. Full article
(This article belongs to the Section Biomechanics and Sports Medicine)
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