Measurement of relative interface energies in twin related crystals

Dunn, C. G.; Daniels, F. W.; Bolton, M. J.

doi:10.1007/bf03399014

Cited by 10 publications

(7 citation statements)

References 3 publications

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“…4, the most significant trends for the R3 misorientation are that the maximum energy occurs for the (1 1 1) twist boundary and the minima occur in the zone of orientations at 90°to this position. For Fe, this agrees with the results calculated by Kim et al [19] and the experimental study [13,54]. The most significant trends for the R9 misorientation are that the minimum energy occurs for the (1 1 0) twist boundary and the maxima occur in the zone of orientations at 90°to this position.…”

Section: Resultssupporting

confidence: 89%

“…The relatively low energy of the (1 1 2) coherent twin boundary is consistent with its measured relative energy in Fe [13,54,56] and Mo [57]. It should also be noted that the ratio of the coherent twin boundary energy to the average R3 boundary energy in Fe (0.25) and Mo (0.26) are very close to the measured energy ratio of the coherent twin boundary and ordinary grain boundaries in silicon ferrite reported as 0.22 by Dunn et al [54].…”

Section: Discussionsupporting

confidence: 81%

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Grain boundary energies in body-centered cubic metals

et al. 2015

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Atomistic simulations using the embedded atom method were employed to compute the energies of 408 distinct grain boundaries in bcc Fe and Mo. This set includes grain boundaries that have tilt, twist, and mixed character and coincidence site lattices ranging from R3 to R323. The results show that grain boundary energies in Fe and Mo are influenced more by the grain boundary plane orientation than by the lattice misorientation or lattice coincidence. Furthermore, grain boundaries with (1 1 0) planes on both sides of the boundary have low energies, regardless of the misorientation angle or geometric character. Grain boundaries of the same type in Fe and Mo have strongly correlated energies that scale with the ratio of the cohesive energies of the two metals.

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Section: Resultssupporting

confidence: 89%

Section: Discussionsupporting

confidence: 81%

Grain boundary energies in body-centered cubic metals

et al. 2015

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“…For the case of the R3 boundary, for example, the peak is centered on the symmetric tilt {112} plane, which has lower interplanar spacing compared with the pure twist {111} plane (i.e., low index), where the minimum distribution was located. This is consistent with experimental measurements [27] and a recent simulation, [14] shown in Figure 11(a), revealing that the {112} twin grain boundary plane in bcc structure is lower in energy than the {111} plane. To fully examine this hypothesis, the planar coincident site density (PCSD) was calculated using PCSD = B/(h 2 + k 2 + l 2 ) 1/2 for a number of low CSL grain boundary configurations and compared with their populations as shown in Table I and Figure 12. Here B is the number of atoms per unit cell in the lattice, i.e., two for body centered cubic and four for face centered cubic materials.…”

Section: Discussionsupporting

confidence: 92%

The Distribution of Grain Boundary Planes in Interstitial Free Steel

Beladi

Rohrer

2012

Metall Mater Trans A

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The grain boundary character distribution in a commercial IF steel has been measured as a function of lattice misorientation and boundary plane orientation. The grain boundary plane distribution revealed a relatively low anisotropy with a tendency for grain boundaries to terminate on low index planes having relatively low surface energy and large interplanar spacings. Although the most common grain boundary plane orientation was (111), grain boundaries terminated on higher index planes were sometimes found. For instance, at a misorientation angle of 60 deg about [111], symmetric {112} tilt boundaries were far more populous than [111] twist boundaries. The current observation revealed an inverse relationship between the measured populations and the previously reported grain boundary energies.

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“…The energy ratio of the coherent twin boundary and average R3 GB in Mo is 0.26 [96]. It is close to the similar ratio in Fe (0.25, [62,97,98]) and to the energy ratio of the coherent twin boundary and ordinary GBs in Fe-Si alloys (0.22, [97]). These ratios are much higher than those for the fcc metals (for example, the coherent twin energy in fcc Ni is reported as 0.064 J/m 2 , or 0.058 of the average boundary energy [42]).…”

Section: Faceting-roughening Of Twin Grain Boundaries In Other Materialssupporting

confidence: 65%

Review: grain boundary faceting–roughening phenomena

et al. 2015

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Similar to free surfaces, the grain boundaries (GBs) in metals, semiconductors and insulators can contain flat (faceted) and curved (rough) portions. In the majority of cases, facets are parallel to the most densely packed planes of coincidence sites lattice formed by two lattices of abutting grains. Facets disappear with the increasing temperature (faceting-roughening transition) and the increasing angular distance from coincidence misorientation. The temperature of GB faceting-roughening transition T R decreases with the increasing inverse density of coincidence sites R. In case of fixed R, T R decreases with the decreasing density of coincidence sites in the GB plane.The intersection line (ridge) between facets or between facets and curved (rough) portions of surfaces can be of first order (two different tangents in the contact point) or of second order (common tangent, continuous transitions). The rough (curved) portions of GB can also form the firstorder rough-to-rough ridges (with two tangents). GB facets control the transition from normal to abnormal grain growth and strongly influence the GB migration, diffusion, wetting, fracture and electrical conductivity.

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Measurement of relative interface energies in twin related crystals

Cited by 10 publications

References 3 publications

Grain boundary energies in body-centered cubic metals

Grain boundary energies in body-centered cubic metals

The Distribution of Grain Boundary Planes in Interstitial Free Steel

Review: grain boundary faceting–roughening phenomena

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