Field Induced Single Ion Magnetic Behaviour in Square-Pyramidal Cobalt ( II ) Complexes with Easy-Plane Magnetic Anisotropy

Two penta-coordinate CoII complexes with formulae [Co(14-TMC)Cl](BF4) (1, 14-TMC = 1,4,8,11-Tetramethyl-1,4,8,11-tetraazacyclotetradecane) and [Co(12-TBC)Cl](ClO4)·(MeCN) (2, 12-TBC = 1,4,7,10-Tetrabenzyl-1,4,7,10-tetraazacyclododecane) were synthesized and characterized. Structural analysis revealed that ligand coordinates to the CoII centre in a tetradentate fashion and the fifth position is occupied by chloride ion and the geometries around CoII centres are best described as distorted square pyramidal. Detailed magnetic measurements disclose the presence of significant easy-plane magnetic anisotropy and field induced slow magnetic relaxation behaviours of the studied complexes. More insight into the magnetic anisotropy has been given using ab initio theory calculations, which agree well with the experimental values and further confirmed the easy-plane magnetic anisotropy.

Both the TMC and TBC ligands have been elegantly exploited to stabilize low valent metal complexes [34,36].The coordination chemistry of Co II (14-TMC) has been less explored compared with Ni II complexes and thus it is of interest to us.Recently, few examples of five-coordinate Co II (14-TMC) complexes have been reported in the literature for showing the field induced slow magnetic relaxation behaviours [38,39].Keeping the above points in mind and following our interest in Co II based SIMs [16,17,20,21,24,27], we aimed to prepare low-coordinate Co II SIMs by using macrocyclic ligand 14-TMC and 12-TBC.Therefore in this paper we report the synthesis, structural characterization, and magnetization study of square-pyramidal Co II complexes [Co(14-TMC)Cl](BF4) (1) and [Co(12-TBC)Cl](ClO4)•(MeCN) (2).Detailed magnetic measurements combined with theoretical studies disclose the presence of significant easy-plane magnetic anisotropy and field induced slow magnetic relaxation behaviours of 1 and 2.
Keeping the above points in mind and following our interest in Co II based SIMs [16,17,20,21,24,27], we aimed to prepare low-coordinate Co II SIMs by using macrocyclic ligand 14-TMC and 12-TBC.Therefore in this paper we report the synthesis, structural characterization, and magnetization study of square-pyramidal Co II complexes [Co(14-TMC)Cl](BF 4 ) (1) and [Co(12-TBC)Cl](ClO 4 )•(MeCN) (2).Detailed magnetic measurements combined with theoretical studies disclose the presence of significant easy-plane magnetic anisotropy and field induced slow magnetic relaxation behaviours of 1 and 2.

Results and Discussion
The reaction of a mixture of two Co II salts (CoCl 2 and Co(BF 4 ) 2 for 1; CoCl 2 and Co(ClO 4 ) 2 for 2) with macrocyclic ligands (14-TMC and 12-TBC for 1 and 2 respectively) in a 1:1 molar ratio under ambient conditions gave complexes 1 and 2. The final reaction mixture was kept for crystallization and gave large X-ray-quality reddish brown crystals after three days.Single-crystal X-ray analysis revealed that complexes 1 and 2 crystallize in the monoclinic P2 1 and C2/c space groups respectively (See Supplementary Material Table S1).The molecular structures of 1 and 2 are shown in Figure 1.In both complexes, the geometry around the Co II centres are distorted square pyramidal where four nitrogen atoms (of macrocyclic ligand) are located in the basal plane of the pyramid and chloride ion is located at the axial position (Figure 2).Both 14-TMC and 12-TBC ligands coordinate to the metal centre in a tetradentate fashion and the geometries were further confirmed by the SHAPE analysis [40] with minimum CShM values of 0.558 and 0.846 for 1 and 2 respectively (Table S3).The macrocyclic ligands adopt the cis configuration with the four substituents directing towards the same side of macrocycle.For 1, Co II centre lies ca.0.473 Å out of the {N(1),N(2),N(3),N(4)} plane in the direction of Cl (1).The values of trans positioned N-Co-N angles involving the nitrogen atoms of 14-TMC ligand are 162.74(6) and 146.43 (5) • for N2-Co1-N4 and N1-Co1-N3, respectively (See Supplementary Material Table S2).For 2, Co II centre lies ca.0.814 Å out of the {N(2),N(3),N(4),N(5)} plane in the direction of Cl(2).
The two trans positioned N-Co-N angles are almost identical 135.99(5) and 135.62(4) • for N3-Co1-N5 and N2-Co1-N4, respectively, and correspond to the ideal spy geometry according to Addison et al. [40].The geometry distortions of square pyramidal can be characterized using the τ parameter, defined as (α − β)/60 [41].For 1 and 2 the τ values are 0.271 and 0.006, respectively.In both the complexes, there are substantial intermolecular hydrogen-bonding interactions with counter anions (BF 4 − and ClO 4 − for 1 and 2, respectively) and resulted in the formation of two-dimensional supramolecular arrangement (See Supplementary Material Figures S2-S5 and Tables S4 and S5).The solid-state packing diagram of 2 shows that the continuous 2D helical arrangement of interstitial lattice solvent molecules and perchlorate molecules along the crystallographic a axis (Figure 3) and stabilized by several non-covalent interactions with each other.
Magnetochemistry 2018, 2, x 3 of 5 geometry according to Addison et al [40].The geometry distortions of square pyramidal can be characterized using the τ parameter, defined as (α − β)/60 [41].For 1 and 2 the τ values are 0.271 and 0.006, respectively.In both the complexes, there are substantial intermolecular hydrogen-bonding interactions with counter anions (BF4 -and ClO4 -for 1 and 2, respectively) and resulted in the formation of two-dimensional supramolecular arrangement (See Supplementary Material Figures S2-S5 and Tables S4,S5).The solid-state packing diagram of 2 shows that the continuous 2D helical arrangement of interstitial lattice solvent molecules and perchlorate molecules along the crystallographic a axis (Figure 3) and stabilized by several non-covalent interactions with each other.
(a) (b)  Direct current (DC) magnetic susceptibility measurements have been performed under an applied field of 1000 Oe. χMT values (χM = molar magnetic susceptibility) of 2.99 and 3.12 cm 3 K mol −1 were obtained for 1 and 2, respectively, at room temperature and these values are larger than spinonly value of 1.875 cm 3 mol −1 K for S = 3/2 and g = 2.00 system.These values fall within the range of 2.1−3.4 cm 3 mol −1 K for highly anisotropic Co II centers having orbital contribution [42].Upon decreasing from 300 K, the χMT value gradually decreases and reached the minimum values of 1.77 and 1.98 cm 3 mol −1 K for 1 and 2 respectively at 2 K (Figures 4a and Supplementary Material Figure S6).The magnetization data for 1 and 2 have been reached the highest values of 2.33 and 2.45 NμB respectively at 2 K and 7 T (Figures 4b and Supplementary Material Figure S6).The magnetization values are lower than the theoretical saturation value for an S = 3/2 system and also did not saturate at highest available fields.From the M/NμB vs. H/T plots it can be found the presence of highly geometry according to Addison et al [40].The geometry distortions of square pyramidal can be characterized using the τ parameter, defined as (α − β)/60 [41].For 1 and 2 the τ values are 0.271 and 0.006, respectively.In both the complexes, there are substantial intermolecular hydrogen-bonding interactions with counter anions (BF4 -and ClO4 -for 1 and 2, respectively) and resulted in the formation of two-dimensional supramolecular arrangement (See Supplementary Material Figures S2-S5 and Tables S4,S5).The solid-state packing diagram of 2 shows that the continuous 2D helical arrangement of interstitial lattice solvent molecules and perchlorate molecules along the crystallographic a axis (Figure 3) and stabilized by several non-covalent interactions with each other.
(a) (b)  Direct current (DC) magnetic susceptibility measurements have been performed under an applied field of 1000 Oe. χMT values (χM = molar magnetic susceptibility) of 2.99 and 3.12 cm 3 K mol −1 were obtained for 1 and 2, respectively, at room temperature and these values are larger than spinonly value of 1.875 cm 3 mol −1 K for S = 3/2 and g = 2.00 system.These values fall within the range of 2.1−3.4 cm 3 mol −1 K for highly anisotropic Co II centers having orbital contribution [42].Upon decreasing from 300 K, the χMT value gradually decreases and reached the minimum values of 1.77 and 1.98 cm 3 mol −1 K for 1 and 2 respectively at 2 K (Figures 4a and Supplementary Material Figure S6).The magnetization data for 1 and 2 have been reached the highest values of 2.33 and 2.45 NμB respectively at 2 K and 7 T (Figures 4b and Supplementary Material Figure S6).The magnetization values are lower than the theoretical saturation value for an S = 3/2 system and also did not saturate at highest available fields.From the M/NμB vs. H/T plots it can be found the presence of highly Direct current (DC) magnetic susceptibility measurements have been performed under an applied field of 1000 Oe. χ M T values (χ M = molar magnetic susceptibility) of 2.99 and 3.12 cm 3 K mol −1 were obtained for 1 and 2, respectively, at room temperature and these values are larger than spin-only value of 1.875 cm 3 mol −1 K for S = 3/2 and g = 2.00 system.These values fall within the range of 2.1−3.4 cm 3 mol −1 K for highly anisotropic Co II centers having orbital contribution [42].Upon decreasing from 300 K, the χ M T value gradually decreases and reached the minimum values of 1.77 and 1.98 cm 3 mol −1 K for 1 and 2 respectively at 2 K (Figure 4a and Supplementary Material Figure S6).The magnetization data for 1 and 2 have been reached the highest values of 2.33 and 2.45 Nµ B respectively at 2 K and 7 T (Figure 4b and Supplementary Material Figure S6).The magnetization values are lower than the theoretical saturation value for an S = 3/2 system and also did not saturate at highest available fields.From the M/Nµ B vs. H/T plots it can be found the presence of highly anisotropic systems for 1 and 2, as all isotherm magnetization plots did not fall on the same master curve (Figure S6).A spin Hamiltonian of Equation (1) has been described to quantify the magnetic anisotropy qualitatively: where µ B , S and B terms represent the Bohr magneton, spin and magnetic field vectors, respectively; D and E terms represent single-ion axial and rhombic ZFS parameters.In order to calculate the ZFS parameters of Co II centres in 1-2, the PHI code [43] was used by concomitant fitting of the susceptibility and magnetization data and g tensor was kept anisotropic during the fitting.The best fits gave D = 45.1(6)cm −1 , E = 9.9(1) cm −1 , and g x = 2.29, g y = 2.65, g z = 1.98 for 1; D = 52.3(5)cm −1 , E = 10.1(7)cm −1 , and g x = 2.66, g y = 2.97, g z = 2.02 for 2. Most of the reported pentacoordinate Co II SIMs are having square pyramidal or trigonal bipyramidal coordination geometries around Co II centres (Supplementary Material Table S6).It has been found that the obtained easy-plane magnetic anisotropies for the studied complexes agree well with the other previously reported square pyramidal Co II SIMs (Supplementary Material Table S6).The positive sign of D parameter arises from the interaction between ground and excited electronic states coupled through spin-orbit coupling [16].
Magnetochemistry 2018, 2, x 4 of 5 anisotropic systems for 1 and 2, as all isotherm magnetization plots did not fall on the same master curve (Figure S6).A spin Hamiltonian of Equation (1) has been described to quantify the magnetic anisotropy qualitatively: where μB, S and B terms represent the Bohr magneton, spin and magnetic field vectors, respectively; D and E terms represent single-ion axial and rhombic ZFS parameters.In order to calculate the ZFS parameters of Co II centres in 1-2, the PHI code [43] was used by concomitant fitting of the susceptibility and magnetization data and g tensor was kept anisotropic during the fitting.The best fits gave D = 45.1(6)cm −1 , E = 9.9(1) cm −1 , and gx = 2.29, gy = 2.65, gz = 1.98 for 1; D = 52.3(5)cm −1 , E = 10.1(7)cm −1 , and gx = 2.66, gy = 2.97, gz = 2.02 for 2. Most of the reported pentacoordinate Co II SIMs are having square pyramidal or trigonal bipyramidal coordination geometries around Co II centres (Supplementary Material Table S6).It has been found that the obtained easy-plane magnetic anisotropies for the studied complexes agree well with the other previously reported square pyramidal Co II SIMs (Supplementary Material Table S6).The positive sign of D parameter arises from the interaction between ground and excited electronic states coupled through spin-orbit coupling [16].More insight into the magnetic anisotropy of 1 and 2 was obtained using ab initio theory calculations.The calculated D and E (cm −1 ) and g values (x, y, z) of 1 and 2 have been given in Table 1.The calculated D values of 1 and 2 are positive, and also agree well with the experimental values and further confirmed the easy-plane magnetic anisotropy for the studied complexes.Furthermore, from the splitting of the d orbital obtained from AILFT method [44] shows electronic transition between the different ml values of the d orbital which results positive D value (Figure 5).In the case of both complexes the dx2-y2 orbitals are relatively lower in energy.The metal ions reside above the More insight into the magnetic anisotropy of 1 and 2 was obtained using ab initio theory calculations.The calculated D and E (cm −1 ) and g values (x, y, z) of 1 and 2 have been given in Table 1.
The calculated D values of 1 and 2 are positive, and also agree well with the experimental values and further confirmed the easy-plane magnetic anisotropy for the studied complexes.Furthermore, from the splitting of the d orbital obtained from AILFT method [44] shows electronic transition between the different m l values of the d orbital which results positive D value (Figure 5).In the case of both complexes the d x2-y2 orbitals are relatively lower in energy.The metal ions reside above the plane containing four nitrogen atoms, thereby weakening the sigma bonding interaction with the four N donor atoms.Furthermore, due to the weak σ donation from four N donor atoms and presence of π donor Cl ligand this interacts with d xy orbital and enhancing the energy as compare to d x2-y2 orbital.Also, the higher energy gap between d xy and d x2-y2 orbitals results high positive D value in complex 2 whereas for complex 1, those two orbitals are closer in energy leading more negative contribution and lowering the D value.Other information like the orientation of computed g tensor (Supplementary Material Figure S8), the energy of the first four excited states (cm −1 ) and their contribution to the D and E values can be found in Table S7 which has been extracted from the ORCA calculations using the ab initio ligand field theory (AILFT) method.plane containing four nitrogen atoms, thereby weakening the sigma bonding interaction with the four N donor atoms.Furthermore, due to the weak σ donation from four N donor atoms and presence of π donor Cl ligand this interacts with dxy orbital and enhancing the energy as compare to dx2-y2 orbital.Also, the higher energy gap between dxy and dx2-y2 orbitals results high positive D value in complex 2 whereas for complex 1, those two orbitals are closer in energy leading more negative contribution and lowering the D value.Other information like the orientation of computed g tensor (Supplementary Material Figure S8), the energy of the first four excited states (cm −1 ) and their contribution to the D and E values can be found in Table S7 which has been extracted from the ORCA calculations using the ab initio ligand field theory (AILFT) method.In order to study the slow magnetic relaxation behaviours, ac susceptibility measurements were performed under 0 Oe dc field but complexes 1 and 2 didn't show frequency-dependent ac signal.The frequency-dependent ac signals were observed under a 2000 Oe dc field for both the complexes.However, for 1 the out-of-phase signals (χM″) do not show any peak maxima and therefore, the Debye model was used to estimate the energy barrier and relaxation time (Equation ( 2)) [45].Best fitting gave the values of energy barrier Ueff = 7.3(6) K and relaxation time τ0 = 2.7 × 10 −6 s (Supplementary Material Figure S7) which agree well with the expected value of 10 −6 -10 −11 for a SMM [46][47][48][49].ln(χ"/χ') = ln(ωτ0) + Ueff/kT For complex 2 the out-of-phase signals (χM″) show peak maxima and therefore, the Cole-Cole plots [50] (Figure 4e) have been generated from the frequency-dependent ac susceptibility data.The generalized Debye model [51] has been used to fit the Cole-Cole plots and best fitting gave the values of α within the ranges of 0.05-0.29.The curvature found in the ln(τ) vs T -1 plot suggests the presence of other non-negligible relaxation processes along with the Orbach mechanisms in determining the relaxation rate (Figure 4f).Thus, the temperature dependence of τ can be well described by using Equation (3) including the contributions of QTM, Raman and Orbach mechanisms.In order to study the slow magnetic relaxation behaviours, ac susceptibility measurements were performed under 0 Oe dc field but complexes 1 and 2 didn't show frequency-dependent ac signal.The frequency-dependent ac signals were observed under a 2000 Oe dc field for both the complexes.However, for 1 the out-of-phase signals (χ M ") do not show any peak maxima and therefore, the Debye model was used to estimate the energy barrier and relaxation time (Equation ( 2)) [45].Best fitting gave the values of energy barrier U eff = 7.3(6) K and relaxation time τ 0 = 2.7 × 10 −6 s (Supplementary Material Figure S7) which agree well with the expected value of 10 −6 −10 −11 for a SMM [46][47][48][49].ln(χ"/χ ) = ln(ωτ 0 ) + U eff /kT For complex 2 the out-of-phase signals (χ M ") show peak maxima and therefore, the Cole-Cole plots [50] (Figure 4e) have been generated from the frequency-dependent ac susceptibility data.The generalized Debye model [51] has been used to fit the Cole-Cole plots and best fitting gave the values of α within the ranges of 0.05-0.29.The curvature found in the ln(τ) vs. T −1 plot suggests the presence of other non-negligible relaxation processes along with the Orbach mechanisms in determining the relaxation rate (Figure 4f).Thus, the temperature dependence of τ can be well described by using Equation (3) including the contributions of QTM, Raman and Orbach mechanisms.
The best fits were obtained giving U eff = 18.4(2)K, τ 0 = 3.2(5) × 10 −6 s, τ QTM = 1.43(7) × 10 −3 s, C = 0.53(9) s −1 K −5. 8(9)and n = 4.8 (Figure 4f).The n value found to be very closer to the previously reported value for Co II -Y III complex by Colacio et al. [52].Thus, it has been found that along with the Orbach mechanisms the quantum tunnelling processes as well as the optical or acoustic Raman processes become also important to the overall relaxation process.
It has been found earlier that the difference in slow magnetic relaxation behaviours of mononuclear complexes was mostly because of the different structural distortions around the metal centres [7,8,49,[53][54][55]. Therefore, in this present case the differences in ligand system between 1 and 2 brings the structural distortion and promote the elevation of Co II centre which, in turn, gives to substantial spin-orbit coupling and thus producing different anisotropic and dynamic behaviours.

Materials and Methods
All chemicals and ligands (14-TMC and 12-TBC) were commercially available and used without further purification.The elemental analyses were carried out on an Elementar Microvario Cube Elemental Analyzer.Magnetic measurements were performed using a SQUID VSM magnetometer (Quantum Design).The measured values were corrected for the experimentally measured contribution of the sample holder, while the derived susceptibilities were corrected for the diamagnetism of the samples, estimated from Pascal's tables [56].
Synthesis of [Co(14-TMC)Cl](BF 4 ) (1): A solution of CoCl 2 •6H 2 O (12 mg, 0.05 mmol) in 5 mL of MeOH was added to a solution of Co(BF 4 ) 2 •6H 2 O (17 mg, 0.05 mmol) in 5 mL of MeOH.Then 14-TMC ligand (26 mg, 0.1 mmol) was dissolved in MeCN (10 mL) was added dropwise to the previous solution.The reaction mixture was stirred at room temperature for 3 h, filtrated, and the solution was allowed to evaporate to give large X-ray-quality reddish brown crystals of [Co(14-TMC)Cl](BF 4 ) (1) after 3 days.The crystals were separated and washed with cold water and Et 2 O; yield (71% Brüker APEX-II diffractometer was used for mounting suitable single crystals of 1-2 using Mo-Kα (λ = 0.71073 Å, 101 K) radiation.ϕ and ω scans were used for collection of raw data of each crystals.Direct methods were used for the solution of crystals using SHELXTL followed by full matric least square refinments against F 2 [57].The positions of the remanining non-hydrogen atoms were found by using difference Fourier synthesis and least square refinments.The exact crystal system, cell dimensions and orientation matrix were determined by the reported procedure followed by multi-scan absorption correction and Lorentx polarization.All H-atoms were calculated geometrically and refined using a riding model.The non-hydrogen atoms were refined with anisotropic displacement parameters.SHELXL 97 [58], PLATON 99 [59] and WinGXsystemVer-1.64 [60] were used for the refinement and calculations.The details of collection of data and their refinement parameters of 1-2 are listed in Table S1.
The calculation of the second-order magnetic anisotropy parameters (D and E) have been performed with ORCA 4.0 [61] on the experimentally determined X-ray structure without optimizations.In ORCA 4.0, CASSCF+NEVPT2 (Method of dynamic correlation effect) type calculation have been performed.Both the first principles and ZFS calculations have been done with scalar relativistic effect with ZORA (zeroth-order regular approximation) in ORCA.The following basis sets have been used: def2-TZVPP basis set for Co, def2-TZVP for Cl, N and def2-SV(P) for other atoms.An auxiliary def2/JK Coulomb fitting basis set was also used during the calculation.The quasi-degenerate perturbation theory (QDPT) approach has introduced the spin-orbit coupling effects.We have considered CAS (7,5), where there are 7 electrons in 5 'd' orbital, and computed 10 quartets and 40 doublets.In order to effect the dynamic correlation, we have employed N-electron valence perturbation theory (NEVPT2) on top of the CASSCF wave functions.The zero field splitting parameters were calculated from both the second order perturbation theory and an effective Hamiltonian approach (EHA).

Conclusions
In conclusion, two square-pyramidal Co II complexes have been synthesized and characterized.Detailed magnetic measurements combined with theoretical calculations of the studied complexes reveal the presence of significant easy-plane magnetic anisotropy and field induced slow magnetic relaxation behaviours.As a whole this work shows how the easy-plane magnetic anisotropy of square pyramidal Co II complex can be modulated by suitable variation of the ligand system.This leads to the conclusion that a careful choice of the organic ligand is thus necessary and may allow to control the geometry of mononuclear complexes and thus also their magnetic anisotropy.

Supplementary Materials:
The following are available online at http://www.mdpi.com/2312-7481/5/1/12/s1.Coordination polyhedral, SHAPE analysis table, magnetic plots, bond length and bond distances tables and hydrogen bonding tables.Figure S1: Distorted square-pyramidal coordination geometry around the Co II centers in 1 (left) and 2 (right), Figure S2: A view of supramolecular 2D arrangement of complex 1 through intermolecular H-bonding interactions, Figure S3: A view of packing diagram of complex 1 illustrating the continuous 2D arrangement of counter anions along the crystallographic a-axis, Figure S4: A view of supramolecular 2D arrangement of complex 2 through intermolecular H-bonding interactions, Figure S5: A view of packing diagram of complex 2 illustrating the continuous 2D arrangement of lattice solvent molecules and counter anions along the crystallographic c-axis, Figure S6: χ M T vs. T plots measured at 0.1 T for complex 1 (a).1/χ M vs. T plots shown in the inset; M/Nµ B vs. H plots for complex 1 (b) at the indicated temperatures.The solid lines are the best fit; M/Nµ B vs. H/T plots at the indicated temperatures for complexes 1 (c) and 2 (d).The solid lines are the best fit, Figure S7: Temperature dependence of the out-of-phase (χ M ") (left) AC magnetic susceptibility plots for complex 1 under 2000 Oe dc field; Natural logarithm of the ratio of χ M " over χ M vs. 1/T (right) for complex 1 (solid lines represent the best fit obtained from Equation (2) described in the main text), Figure S8: Orientation of the computed g tensor for complexes 1 (left) and 2 (right) with ORCA; Table S1: X-ray Crystallographic Data and Refinement Parameters for complexes 1 and 2, Table S2: Bond distances (Å) and bond angles ( • ) around Co II centers found in complex 1 and 2, Table S3: Summary of SHAPE analysis for complexes 1-2, Table S4: H-bond parameters found in complex 1, Table S5: H-bond parameters found in complex 2, Table S6: Magnetic anisotropy (D parameter) and SIM parameters for previously reported pentacoordinate Co II single ion magnets (SIMs), Table S7: Energy of the first four excited states (cm −1 ) and their contribution to the D and E values in cm −1 at CAS(7,5) NEVPT2 level by ORCA.
Author Contributions: A.K.M. designed the project and performed all the experiments; A.K.M. solved the crystal structures and collected and analyzed the magnetic data; A.K.M. and A.M. wrote the paper; S.K. supervised the overall project.Funding: A.K.M. thanks UGC for the PhD fellowship.A.M. thanks to IISER Bhopal for PhD fellowship.S.K. thanks DAE BRNS, 37(2)/14/09/2015/BRNS, Government of India and IISER Bhopal for generous financial and infrastructural support.

Figure 3 .
Figure 3.A view of packing diagram of complex 2 illustrating the continuous 2D helical arrangement of lattice solvent molecules and counter anions along the crystallographic a-axis.

Figure 3 .
Figure 3.A view of packing diagram of complex 2 illustrating the continuous 2D helical arrangement of lattice solvent molecules and counter anions along the crystallographic a-axis.

Figure 3 .
Figure 3.A view of packing diagram of complex 2 illustrating the continuous 2D helical arrangement of lattice solvent molecules and counter anions along the crystallographic a-axis.

Figure 4 .
Figure 4. χMT vs. T plots measured at 0.1 T for complex 2 (a).1/χM vs. T plots shown in the inset; M/NμB vs. H plots for complex 2 (b) at the indicated temperatures.The solid lines are the best fit; Frequency dependency of the in-phase (χM′) (c) and out-of-phase (χM″) (d) AC magnetic susceptibility plots for complex 2; Cole-Cole plots for complex 2 (e).Solid lines represent the best fit; Temperature dependency of the average relaxation time for complex 2 at 0.2 T dc field (f).The red line is the best fit obtained according to equation 3.

Figure 4 .
Figure 4. χ M T vs. T plots measured at 0.1 T for complex 2 (a).1/χ M vs. T plots shown in the inset; M/Nµ B vs. H plots for complex 2 (b) at the indicated temperatures.The solid lines are the best fit;Frequency dependency of the in-phase (χ M ) (c) and out-of-phase (χ M ") (d) AC magnetic susceptibility plots for complex 2; Cole-Cole plots for complex 2 (e).Solid lines represent the best fit; Temperature dependency of the average relaxation time for complex 2 at 0.2 T dc field (f).The red line is the best fit obtained according to Equation (3).

Table 1 .
Computed D, |E| g x,y,z values for the ground states of complexes 1 and 2.

Table 1 .
Computed D, |E| and gx,y,z values for the ground states of complexes 1 and 2