 Open Access Article
 Open Access Article
Mamo Gebrezgiabher ab, 
Sören Schlittenhardt
ab, 
Sören Schlittenhardt c, 
Cyril Rajnák
c, 
Cyril Rajnák b, 
Juraj Kuchár
b, 
Juraj Kuchár d, 
Assefa Sergawie
d, 
Assefa Sergawie a, 
Juraj Černák
a, 
Juraj Černák d, 
Mario Rubencef, 
Madhu Thomas
d, 
Mario Rubencef, 
Madhu Thomas *a and 
Roman Boča
*a and 
Roman Boča *b
*b
aDepartment of Industrial Chemistry, College of Applied Sciences, Nanotechnology Excellence Center, Addis Ababa Science and Technology University, Addis Ababa P.O. Box 16417, Ethiopia. E-mail: madhu.thomas@aastu.edu.et
bDepartment of Chemistry, Faculty of Natural Sciences, University of SS Cyril and Methodius, 91701 Trnava, Slovakia. E-mail: roman.boca@ucm.sk
cInstitute of Nanotechnology, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
dDepartment of Inorganic Chemistry, Institute of Chemistry, P. J. Šafárik University in Košice, 041 80 Košice, Slovakia
eInstitute of Quantum Materials and Technologies (IQMT, ), Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
fCentre Européen de Science Quantique (CESQ), Institut de Science et d’Ingénierie Supramoléculaires (ISIS, UMR 7006), CNRS-Université de Strasbourg, 8 allée Gaspard Monge BP 70028 67083, Strasbourg Cedex, France
First published on 4th August 2022
The triangulo-{Er3} complex [Er3Cl(o-van)3(OH)2(H2O)5]Cl3·nH2O (n = 9.4; H(o-van) = o-vanillin) (1) was generated by an in situ method. The isolated Er(III) complex 1 was characterized by elemental analysis and molecular spectroscopy. The results of single crystal X-ray diffraction studies have shown that 1 is built up of trinuclear [Er3Cl(o-van)3(OH)2(H2O)5]3+ complex cations, chloride anions and water solvate molecules. Within the complex cation the three Er(III) central atoms are placed at the apexes of a triangle which are bridged by three (o-van)− ligands with additional chelating functions and two μ3-OH− ligands. Additionally five aqua and one chlorido ligands complete the octa-coordination of the three Er(III) atoms. AC susceptibility measurements reveal that the compound exhibits slow magnetic relaxation with two relaxation modes.
In continuation of these reports, pure Dy(III) based SMMs have drawn the attention of many investigators as evident by the huge number of contributions to this particular field of molecular magnetism,18–31 generating a variety of SMM's with Dy(III).4,32–37 But their characteristics with respect to the blocking temperature and energy barrier need further improvement and advancement.
The SMM chemistry of Er(III) is much popular now a days, in terms of its large coercive fields with a hysteresis loop persisting up to 12 K;38 featuring the highest energy barrier (300 cm−1) to date;39 by varying the energy barrier and quantum tunneling of magnetization (QTM) with respect to the coordination environments;40 showing the ability in retaining magnetization by controlling the Raman relaxation process;41 having magnetic hysteresis loop up to 5 K (200 Oe s−1);42 also exhibiting magnetic relaxation dynamics in low coordination environment.43
With a slight difference in symmetry,44 Er(III) complex exhibits slow magnetic relaxation under zero dc field with a relaxation barriers of ∼150 cm−1 and waist-restricted magnetic hysteresis. The incorporation of an equatorial ligand field facilitates slow magnetic relaxation in the prolate Er(III) ion and shows good characteristics for application in quantum information processing.45
With this all in mind, we have synthesized erbium triangle (cluster) which was obtained by the condensation of o-vanillin and 2-(aminomethyl)pyridine in the presence of triethylamine in methanolic medium under in situ condition. The erbium triangle thus generated is comparable with the previously reported dysprosium, gadolinium and ytterbium triangles made up of the same ligand.17,46,47
Therefore, herein we are reporting about a triangulo-{Er3} complex with formula unit C24H33O25.47Cl4Er3 (1) made of o-vanillin (2-hydroxy-3-methoxybenzaldehyde). The crystal structure analysis reveals that the Er3 triangle is capped by two μ3-hydroxo bridges. Magnetic studies reveal that the complex is a field induced SMM with two relaxation modes (low frequency and high-frequency modes).
Magnetic susceptibility data were collected at temperatures between 2–300 K using a Quantum Design MPMS-XL SQUID magnetometer at an external field of 0.1 T. The samples were grounded and fixed in a gelatine capsule using small amounts of eicosane to avoid any movement of the sample. The data obtained were corrected for diamagnetic contributions of the sample, the eicosane, the gelatine capsule and the sample holder.
![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) C)–H hydrogen atoms were refined. The positional coordinates of the hydroxo and aqua ligand hydrogen atoms were refined with application of restrained O–H and H⋯H distances. The chloride anion in the lattice is disordered with half occupancies induced by their close positions (Cl4A, Cl4B). The majority of lattice water molecules are disordered, some over three positions. The disordered water molecules were refined assuming common thermal motion. Their site occupation factors were first refined and then fixed. We note that in the difference map remained three peaks with heights between 1.0 and 1.85 e Å−1 but these were situated close to the Er(III) atoms. As a consequence of extended disorder, the hydrogen atoms of all lattice water molecules cannot be found in the difference map and were not involved in calculations. Structural figures were drawn using Diamond program.53
C)–H hydrogen atoms were refined. The positional coordinates of the hydroxo and aqua ligand hydrogen atoms were refined with application of restrained O–H and H⋯H distances. The chloride anion in the lattice is disordered with half occupancies induced by their close positions (Cl4A, Cl4B). The majority of lattice water molecules are disordered, some over three positions. The disordered water molecules were refined assuming common thermal motion. Their site occupation factors were first refined and then fixed. We note that in the difference map remained three peaks with heights between 1.0 and 1.85 e Å−1 but these were situated close to the Er(III) atoms. As a consequence of extended disorder, the hydrogen atoms of all lattice water molecules cannot be found in the difference map and were not involved in calculations. Structural figures were drawn using Diamond program.53
In the IR spectrum of complex 1 (Fig. S1†), the peaks at 1631 cm−1, 1355 cm−1, 1221 cm−1 and 1468 cm−1 are corresponding to aldehydic carbonyl (C![[double bond, length as m-dash]](https://www.rsc.org/images/entities/char_e001.gif) O), ring phenolic oxygen (C–O), methoxy and aromatic ring stretching vibrations, respectively.54
O), ring phenolic oxygen (C–O), methoxy and aromatic ring stretching vibrations, respectively.54
Single crystal X-ray study confirms that the asymmetric part of the crystal structure of 1 contains one trinuclear [Er3Cl(o-van)3(OH)2(H2O)5]3+ complex cation, three chloride anions and water solvate molecules. This complex of Er(III) with o-van ligand is novel. Analogous triangular arrangement of Er(III) atoms was already found in an Er(III) complex with the 5-bromo derivate of o-van, o-vanBr and methanol as ligands as well as solvate molecules, namely [Er3Cl3(o-vanBr)3(OH)2(CH3OH)3]Cl·3CH3OH.55 It should be noted that in this complex the donor sets of the Er(III) central atoms differ from that observed in our complex 1. As to the other lanthanide elements, such triangular arrangement was reported for Dy(III) [Dy3Cl(o-van)3(OH)2(H2O)5]Cl3·9H2O17 and Yb(III) [Yb3Cl(o-van)3(OH)2(H2O)5]Cl3·4H2O.47 The Er(III) complex is similar to previously reported Gd(III)46 and Dy(III) triangles in terms of their bond distances and bond angles.17
Within the [Er3(o-van)3(OH)2Cl(H2O)5]3+ complex cation, two aqua ligands are coordinated to Er(2) and Er(3) atoms (Fig. 2, left) above and below the plane of the triangle, while for Er(1) atom, the terminal ligands are formed by a single aqua ligand above and a chlorido ligand below the plane of the triangle (Fig. 2, left). In addition to this, there are two μ3-hydroxo bridges above and below the plane capping the Er3 triangular arrangement from both sides of the triangle (Fig. 2, left). In the {Er3O5} core, as indicated in Fig. 2, right, three Er(III) centers are held together by multiple monoatomic o-bridges. The respective distances between the Er(III) atoms are 3.5091(6), 3.4779(6) and 3.5052(5) Å for Er(1)⋯Er(2), Er(2)⋯Er(3) and Er(1)⋯Er(3) contacts, respectively. These Er⋯Er distances (Table 1) are very close to those found in the analogous complex [Er3Cl3(o-vanBr)3(OH)2(CH3OH)3]Cl·3CH3OH (3.4845(7), 3.4895(9) and 3.5219(7) Å)55 and comparable to previously reported Dy⋯Dy, Gd⋯Gd and Yb⋯Yb distances for the same type o-vanillin based triangular complexes.17,46,47
| O11–Er3 | 2.328(3) Å | O11–Er2 | 2.341(3) Å | 
| O10–Er3 | 2.360(3) Å | O24–Er2 | 2.361(3) Å | 
| O2–Er3 | 2.284(3) Å | O4–Er2 | 2.292(4) Å | 
| O21–Er3 | 2.330(3) Å | O10–Er2 | 2.336(3) Å | 
| O1–Er3 | 2.324(3) Å | O2–Er2 | 2.314(3) Å | 
| O9–Er3 | 2.500(4) Å | O25–Er2 | 2.316(3) Å | 
| O22–Er3 | 2.319(4) Å | O3–Er2 | 2.512(4) Å | 
| O8–Er3 | 2.298(3) Å | Er3–Er2 | 3.4779(7) Å | 
| O6–Er1 | 2.509(3) Å | Er1–Er3 | 3.5052(5) Å | 
| O5–Er1 | 2.295(3) Å | Er2–Er1 | 3.5091(7) Å | 
| O23–Er1 | 2.329(3) Å | Er2–O2–Er3 | 98.3(1)° | 
| O7–Er1 | 2.339(4) Å | Er2–O10–Er3 | 95.5(1)° | 
| O8–Er1 | 2.313(3) Å | Er2–O11–Er3 | 96.3(1)° | 
| O11–Er1 | 2.394(3) Å | Er3–O11–Er1 | 95.8(1)° | 
| O10–Er1 | 2.335(3) Å | Er2–O11–Er1 | 95.6(1)° | 
| Cl1–Er1 | 2.661(1) Å | Er2–O5–Er1 | 99.6(1)° | 
| O5–Er2 | 2.298(3) Å | Er3–O8–Er1 | 98.9(1)° | 
All erbium centers in the triangular array are octa-coordinated with O7Cl, O8 and O8 donor sets for Er1, Er2 and Er3 atoms, respectively. Calculations using the SHAPE procedure56 indicate that the coordination polyhedra of all three Er central atoms correspond to triangular dodecahedra (Fig. 1 and Table S1†). The same polyhedra for Er(III) central atoms are present in the analogous [Er3Cl3(o-vanBr)3(OH)2(CH3OH)3]Cl·3CH3OH complex (Table S1†)55 and somewhat similar coordination modes have been observed for the gadolinium and dysprosium analogues from the previous reports.17,46
The observed Er–O distances in 1 are in the range 2.284(3)–2.509(3) Å while the Er–Cl bond exhibits a value of 2.661(1) Å (Table 1). These values well correspond to the ranges of 2.283(4)–2.525(4) Å and 2.6406(17)–2.6714(17) Å for Er–O and Er–Cl bond distances, respectively, in the analogous Er(III) complex [Er3Cl3(o-vanBr)3(OH)2(CH3OH)3]Cl·3CH3OH.55
The positive charge of the complex cation in 1 is counterbalanced with the negative charge of three chloride anions. These chloride anions along with the chlorido ligand are involved in the formation of a hydrogen bonding network which results in a three-dimensional supramolecular structure of 1 (Fig. S2 and Table S2†). Within the polymeric hydrogen bonded system, a chain-like arrangement of triangular complex cations can be distinguished (Fig. S3†). The chloride counter ions Cl2 and Cl3 link the triangular units by hydrogen bonds with the two bonded aqua ligands (O21 and O23) (Table S2†) and these hydrogen bonds are reinforced by hydrogen bonds formed by capping hydroxide ligands (O10 and O11). Within this chain-like arrangement, there exists the shortest intermolecular distance of 8.104 Å between two Er(III) atoms, namely the one Er1⋯Er1III (III: 1 − x, 1 − y, 1 − z).
For each of the triangular pairs along the chain, a phenyl ring from a unit in the neighbouring chain interleaves giving a side-on phenyl carbon C(13)⋯Cl(4B) distance of 3.51 Å. This phenyl is also between two other phenyl groups on a neighbouring chain at ca. 3.84 Å. Hence, considering plane 1 (1 − x, −1/2 + y, 3/2 − z), the angle of π–π interaction is 12.890° with a centroid–centroid distance of 3.811 Å and a distance shift of 1.150 Å. When we look along plane 2 (3/2 − x, +y, 1 − z), the π–π interaction angle is around 12.690° with a centroid–centroid distance of 3.876 Å having a distance shift of 0.696 Å. No interaction is found along plane 3.
The temperature dependence of the magnetic susceptibility was converted to the dimensionless product function χT/C0 where C0 = NAμ0μ2B/kB = 4.714 × 10−6 m3 mol−1 [SI] is the reduced Curie constant containing only the fundamental physical constants in their usual meaning (Fig. 3, left).
|  | ||
| Fig. 3 DC magnetic data for 1(inset – molar magnetic susceptibility) (left). Solid lines – fitted and magnetization curve (right). | ||
The product function at room temperature adopts a value of χT/C0 = 84.4 and on cooling it decrease to a value of 51.4 at T = 2.0 K. The theoretically expected value for three uncoupled Er(III) centres possessing the maximum J = 15/2 is 3 × 30.6 = 91.8.57 The observed lower value is a consequence of the exchange coupling of an antiferromagnetic nature and irregular energy spectrum as explained below.
The magnetization (Fig. 3, right) per formula unit M1 = Mmol/(NAμB) does not saturate at T = 2.0 K and B = 7.0 T to the maximum values for Jmax = 45/2. This is also a fingerprint of the irregular energy spectrum.
Before fitting the magnetic data there is a need to be emphasized that a triangulo-{Er3} complex refers to the isosceles triangle (C2v) since the Er–Er distances are 3.505, 3.509 and 3.478 Å so that instead of a single exchange coupling constant two different (J twice, and J′) need be considered. The simple exchange coupling model with the isotropic exchange Hamiltonian
|  | (1) | 
The zero-field energy levels (M = 192) are displayed in Fig. 4 showing that the ground molecular state is J = 21/2. This explains the observed values of the product function and maximum M1. A further improvement of the model would be based on the g-factor asymmetry, zero-field splitting, asymmetric exchange and/or antisymmetric exchange. Then, however, the blocking of the interaction matrix with N = 4096 states is not beneficial since there would be the off-diagonal matrix elements mixing the blocks of the different angular momentum.57
The AC susceptibility components are displayed in Fig. 5 for a set of trial frequencies at different external field BDC = 0–0.5 T and T = 2.0 K. In the absence of the external field, the out-of-phase susceptibility (χ′′) is silent. With increasing applied field it increases and culminates around BDC = 0.3 T for the lowest frequencies. However, the maximum alters with the frequency of the AC field. It can be concluded that 1 exhibits a field supported slow magnetic relaxation.
|  | ||
| Fig. 5 Field dependence (top) and frequency dependence (bottom) of the AC susceptibility components for 1 at T = 2.0 K. | ||
The second scan refers to a selected external field BDC = 0.3 T and the variable is the frequency between f = 0.1 and 1500 Hz for temperature rising from T = 2.0–4.5 K in steps of 0.25 K (Fig. 6 and S4†).
|  | ||
| Fig. 6 Frequency dependence of the AC susceptibility components for a set of temperatures for 1. Lines – fitted. | ||
The complex 1 exhibits two relaxation modes: the low-frequency mode (LF) below f < 1 Hz, and the high-frequency one (HF) above 100 Hz. On heating, both of them escape. The fitting to a two-set Debye model58 at BDC = 0.3 T and T = 2.0 K gave the relaxation times τLF = 1.2(1) s, τHF = 0.61(4) ms, and the mole fraction of the LF species xLF = 0.73. The relaxation time over the magic border of 1 s is rare.59 The adiabatic susceptibility χS = 53 × 10−6 m3 mol−1 [SI units] is also large.
The Argand diagram is presented in Fig. 7 showing two overlapped arcs.
|  | ||
| Fig. 7 Argand diagram for 1. Lines are fitted. Colour codes from Fig. 6. | ||
On heating the high-temperature mode exhibits a reciprocating thermal behaviour;60,61 the relaxation time decreases in contrast to the usual thermal development. At BDC = 0.3 T and T = 4.0 K; the relaxation times are τLF = 0.30(1) s, τHF = 4.5(16) ms, and the mole fraction of the LF species xLF = 0.54.
The Arrhenius-like plot ln![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) τ vs. T−1 for the relaxation time and its ln
τ vs. T−1 for the relaxation time and its ln![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) τ vs. ln
τ vs. ln![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) T counterpart are drawn in Fig. 8 (left). The reciprocating thermal behaviour is well visible as prolongation of the relaxation time on heating between T = 2.0–4.0 K.
T counterpart are drawn in Fig. 8 (left). The reciprocating thermal behaviour is well visible as prolongation of the relaxation time on heating between T = 2.0–4.0 K.
|  | ||
| Fig. 8 Various representations of the relaxation time vs. temperature for 1. Lines are guide for eyes. | ||
The magnetic properties of 1 were compared with the reported triangles made up of the same type ligand,17,46 and this behaviour is different from the Dy3 system reported by Powell et al.17 and Gd3 species presented by Costes et al.46
The thermo gravimetric analysis of the complex shows that it is stable up to 75 °C and decomposes in four stages. The first stage starts at 75 °C and ends at 120 °C corresponding to the removal of lattice water while the decomposition between 120 °C to 199 °C corresponds to the removal of coordinated water. The decomposition stages between 199 °C to 512 °C and 512 °C to 565 °C corresponds to the removal of the rest of the ligand moieties leaving metal chloride at 565 °C, which slowly sublimes after62 (Fig. S6†).
In the present compound a distinct anisotropic center is created to Er1 compared to Er2 and Er3 due to the change in the coordination centers creating significant magnetic disparities between them. This creates ample of opportunity to vary the coordination mode and thus tune the SMM properties.
AC magnetic measurements reveal that 1 behaves as a field supported SMM with two-mode slow relaxation of magnetization having τLF = 0.30(1) s, τHF = 4.5(16) ms, and a mole fraction of the LF species xLF = 0.54 at T = 4.0 K and BDC = 0.3 T.
| Footnote | 
| † Electronic supplementary information (ESI) available: X-ray structure analysis, and crystallographic and physical data. CCDC 2122186. For ESI and crystallographic data in CIF or other electronic format see https://doi.org/10.1039/d2ra04328a | 
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