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(Fe,Co)$_2$B-based compounds with specified 5$d$ substitutions are consideredas promising materials for permanent magnets without rare-earth elements. Weconducted a combined first-principles and experimental study focused on(Fe$_{0.7}$Co$_{0.3}$)$_2$B alloys doped with W and Re. First, we usedfull-potential local-orbital scheme to systematically investigate (Fe,Co)$_2$Balloys with 3$d$, 4$d$, and 5$d$ substitutions. Computational analyses showed asignificant increase in magnetocrystalline anisotropy only for the Re dopedsample. Simultaneously, the structural and magnetic properties of the(Fe$_{0.7-x}$Co$_{0.3-x}$M$_{2x}$)$_2$B ($M$ = W, Re; $x$ = 0, 0.025) alloyswere investigated experimentally. The desired (Fe,Co)$_2$B tetragonal phase wassynthesized by heat treatment of amorphous precursors. We observed thatisothermal annealing increases the coercive field of all samples. However, theobtained values, without further optimization, are well below the threshold forpermanent magnet applications. Nevertheless, annealing of substituted samplesat 750$^o$C significantly improves saturation magnetization values.Furthermore, M\"{o}ssbauer spectroscopy revealed a reduction of the hyperfinefield due to the presence of Co atoms in the (Fe,Co)$_2$B phase, whereadditional defect positions are formed by Re and W. Radio-frequencyM\"{o}ssbauer studies showed that (Fe$_{0.7}$Co$_{0.3}$)$_2$B and theW-substituted sample began to crystallize when exposed to an radio frequencyfield of 12 Oe, indicating that the amorphous phase is stabilized by Resubstitution. Improvement of thermal stability of(Fe$_{0.675}$Co$_{0.275}$Re$_{0.05}$)$_2$B alloy is consistent with the resultsof differential scanning calorimetry and thermomagnetic measurements.

Structural transformation and magnetic properties of  (Fe$_{0.7}$Co$_{0.3}$)$_2$B alloys doped with 5$d$ elements: A combined  first-principles and experimental study