Correlation between domain-wall dynamics and spin-spin relaxation in uniaxial ferromagnets

Synthesis, Crystal Structures, Magnetic Properties, and Fluorescence of Two Heptanuclear CoIII4LnIII3 Compounds (Ln = GdIII, DyIII): Multiple Relaxation Dynamics in the DyIII Analogue

“…It is well documented from Figure , S5 and S6 that, with increasing temperature from 5 K, a slow collapsing of two relaxation processes into a single one takes place. These data were nicely fitted by using the sum of two modified Debye functions, yielding two sets ( α 1 and α 2 ) of relaxation distribution parameters (Table S6); α 1 lies in the range 0.00–0.22 and corresponds to the fast relaxation channel, α 2 lies in the range of 0.00–0.10 and corresponds to the slow relaxation channel. The values of α 2 represent an overall narrow distribution of relaxation time for slow relaxation process.…”

“…Cole–Cole plots in the temperature region, 6–9 K (Figure ), were attempted to fit by using generalized Debye function but it was unsatisfactory. Hence, we tried to fit the data by employing the sum of two modified Debye functions . It gives satisfactory fitting and yields α 1 value in the range of 0.20–0.26 while the value of α 2 ≈ 0.…”

Field-induced slow magnetic relaxation in the first Dy(iii)-centered 12-metallacrown-4 double-decker

“…The Cole-Cole plots for 1 in the temperature range of 1.9 K-5.5 K display semicircular shapes and a generalized Debye model (Cole-Cole model) was used for fitting of the data. 37,38 The obtained α values are in the range of 0.47-0.36, implying a distribution of relaxation times and possibly indicating the presence of multiple relaxation pathways due to a combination of thermally assisted processes and QTM, proven additionally from the fitting discussed. We plotted ln(τ) versus 1/T ( Figure 5) and a linear behaviour is observed for the high temperature regime, revealing the presence of a thermally activated Orbach pathway.…”

Synthesis, Crystal Structures, and Magnetic Properties of New Hexanuclear MnIII2LnIII4 Complexes: SMM Behavior of the Terbium(III) Analogue

“…The ranges of the α values are almost similar [0.23–0.31 (Table S5), 0.23–0.26 (Table S6) and 0.23–0.27 (Table S7)] corresponding to the three Cole–Cole plots. Notably, the Cole–Cole plots could not be fitted with modified Debye model, revealing that single relaxation takes place in 1 ; slightly larger value (> 0.1) of α arises most probably due to intermolecular interactions (hydrogen bonds in 1 have already been discussed). [22c], The relaxation times ( τ ) at different temperatures corresponding to the frequency‐dependent and temperature‐dependent out‐of‐phase data at 1000 Oe (Figures S21 and S23 and Table S6) and at 3500 Oe (Figure and Figure and Table S7) could be fitted well (as in Figure and Figure ) with the Arrhenius equation (ln τ = ln τ 0 + U eff / k B T), giving U eff values of 11.12 cm –1 and 10.42 cm –1 and τ 0 values of 1.04 × 10 –7 s and 1.62 × 10 –7 s, respectively.…”