“…However, the highest d for the TiCoSb 1.02 sample may be explained in light of the well-known Hall–Petch formula. According to the Hall–Petch formula, the strengthening effect of grain boundaries may be described as 75–77 σ GB = k y d −1/2 where σ GB , d , k y are yield strength at grain boundaries, crystalline size, and a material-dependent constant, respectively. Lattice mismatch at the grain boundary due to embedded phases may cause low σ GB and high d value for TiCoSb 1.02 Modified Williamson–Hall plot has been used to carry out the calculation for estimation of N D in TiCoSb 1+ x ( x = 0, 0.01, 0.02, 0.03, 0.04, 0.06) samples, employing the relation 59,78
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