A. Caro et H. Van Swygenhoven, Grain boundary and triple junction enthalpies in nanocrystalline metals - art. no. 134101, PHYS REV B, 6313(13), 2001, pp. 4101
We calculate the contribution to the total enthalpy of nanocrystalline comp
uter-generated samples coming from grain boundaries, (GB's) and triple join
ts (TJ's). We show that the excess enthalpy per unit volume (excess enthalp
y density) at the TJ is essentially the same as that found in the GB. This
implies that TJ's and GB's are kinds of matter with equivalent departures f
rom a perfect crystal structure, at least in the energetic aspect. By a pro
per account of the amount of GB's and TJ's, we show that the reported obser
vations on decreasing GB energy with decreasing grain size in nanocrystalli
zed amorphous Se [K. Ln and N. X. Sun, Philos. Mag Lett. 75, 389 (1997)] an
d negative TJ line tension from computer simulation results [S. G. Srinivas
an et al., Acta Mater. 47, 2821 (1999)] are consequences of neglecting the
relation between the grain boundary width delta and the grain size d, which
in the nanophase regime may be of the same order of magnitude.