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Catalytic activity of spinel ferrite in breaking down toxic dye materials are promising due to their uniqueness. In this study, aluminum‐doped copper zinc ferrite, Cu0.4Zn0.6‐xAlxFe2O4 (x = 0.0, 0.2, 0.4, 0.6), a catalyst for toxic dye degradation is synthesized through chemical co‐precipitation route. The formation of the spinel ferrite catalyst is initially confirmed by Fourier transform infrared spectra, which shows the frequency of metal‐oxygen bond vibration at 539 and 427 cm−1 attributed to the tetrahedral and octahedral sites respectively. Higher intensity sharp peak of X‐ray diffraction for (311) plane is the evidence for the phase purity and the formation of spinel ferrite. The crystallite size is found to decrease with the increase of Al3+ ion. The surface structure of the obtained particles is investigated using a scanning electron microscope. Analyses of the material's magnetic characteristics using a vibrating sample magnetometer (VSM) revealed that it is, in fact, a soft magnet, as evidenced by the loop of its hysteresis, which is narrow. The catalytic degradation of methylene blue dye under the mechanism of the photo‐Fenton process is studied with the obtained spinel ferrites and the result is found to be as high as 96.5%. The process follows pseudo‐second order kinetics and the Langmuir isotherm. [ABSTRACT FROM AUTHOR]

We have used a novel theoretical technique to calculate the $\frac52^{+}$ resonance state of 11Be using a two-body model (10Be+n). The effective two-body potential for the system has a shallow well followed by a low and very wide barrier causing numerical difficulties in the calculation of low-lying resonances. Using supersymmetric quantum mechanics (SSQM), one can construct an isospectral potential with a bound state in the continuum (BIC). This isospectral potential has a deep well and high barrier which can effectively trap the system giving rise to a BIC. Our calculated resonance energy of the $\frac52^{+}$ state of 11Be matches extremely well with the experimental value. Calculated width of the resonance also agrees within the computational error bars. [ABSTRACT FROM AUTHOR]