In this article where they have introduced a new activity descriptor width of d-band the formula for width has a coefficient 4 $(W_d = 4\sqrt{m^c_2})$. While the same formula used in other works does not have any coefficient $(W_d = \sqrt{m^c_2})$. It is understood that the formula is the second moment, but why in this article the coefficient is taken?
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$\begingroup$ Could you point to some of the works that use the alternative convention? $\endgroup$– AnyonSep 6 at 20:57
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$\begingroup$ Please find the link where they have used the alternate form, dx.doi.org/10.1103/PhysRevB.82.045414 $\endgroup$– AlukaarSep 15 at 9:05
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