Faceting transformation and energy of a Σ3 grain boundary in silver

Barg, A. I.; Rabkin, Eugen; Gust, W.

doi:10.1016/0956-7151(95)00094-c

Cited by 45 publications

(27 citation statements)

References 8 publications

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“…For example the (100) 3CSL plane is also (111) 1 /(111) 2 . It has been demonstrated that 3 GB in Cu and Ag remains faceted up to the melting temperature T m [33][34][35]. In other words, the roughening temperature T R is higher than T m for the (100) 3CSL facet and the non-CSL 9R facet.…”

Section: Resultsmentioning

confidence: 99%

Faceting of the Σ 3 coincidence tilt boundary in Nb

et al. 2005

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Due to their unusual properties, the grain boundaries (GBs) with the lowest possible inverse density of coincidence sites = 3 play a special role in the GB engineering. The as-grown shape of the cylindric tilt grain boundary (GB) in Nb bicrystal grown by the floating zone method has been studied with the electron back-scattering diffraction method. Both grains form the superlattice called coincidence site lattice (CSL) with the lowest possible inverse density of coincidence sites = 3. Four different CSL facets (100) 3CSL , {110} 3CSL , {120} 3CSL and {210} 3CSL were observed simultaneously. Flat facets (100) 3CSL , {110} 3CSL , {120} 3CSL and {210} 3CSL form smooth edges (no slope discontinuity) with rounded rough GB portions. Rough surface curves away from the plane of the (-1, 2, 0) 3CSL facet at the edge with (-1, 1, 0) 3CSL facet as x β with β = 1.61 ± 0.09. At the edge between (210) 3CSL and (-1, 2, 0) 3CSL facets β = 1.46 ± 0.09. Both values reveal the GB roughening belonging to the Pokrovsky-Talapov universality class. It has been shown for Pb surfaces [K. Arenhold, S. Surnev, P. Coenen, H.P. Bonzel and P. Wynblatt, Surf. Sci. 417 (1998) L1160] that the β value depend on the details of the steps interaction at the vicinal surface. In our case the difference between measured β for two different facet edges can be due to the similar details of GB steps. C 2005 Springer Science + Business Media, Inc.

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Section: Resultsmentioning

confidence: 99%

Faceting of the Σ 3 coincidence tilt boundary in Nb

et al. 2005

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“…Here, is the inclination angle between the faceted plane and the initially flat boundary. As pointed out by many investigators, [5][6][7]20,30,31) the faceting is regarded as a phase transformation of the grain boundary. According to the observation by Ference and Balluffi,12) the transformation temperature of the faceting in the Cu-Bi system is close to 450 K. This temperature is much lower than the eutectic temperature of 544 K for the Cu and Bi solid-solution phases.…”

Section: Discussionmentioning

confidence: 99%

“…A disk specimen with a diameter of 3 mm was cut from the chemically polished sheet specimen by spark erosion. The thickness of the disk specimen was further reduced to 20 mm by a conventional twin-jet electro-polishing technique at a voltage of 7 V using an etchant consisting of 20 vol% of phosphoric acid, 10 vol% of methanol and 70 vol% of distilled water with T ¼ 274{283 K. After reduction of the thickness, the disk specimen was electrochemically polished at a voltage of 6.5 V in an etchant composed of 20 vol% of nitric acid and 80 vol% of methanol with T ¼ 223 K. From the electrochemically polished specimen, a thin disk specimen was prepared by an ion milling technique using an Ar ion beam at accelerating voltages of 4-5 kV and at incident ion beam angles of [4][5][6] . The microstructure and the crystallography of the thin disk specimen were observed by transmission electron microscopy (TEM) at an accelerating voltage of 200 kV.…”

Section: Methodsmentioning

confidence: 99%

“…As a consequence, the faceting and the defaceting are regarded as thermodynamic phase transformations of the grain boundary. [5][6][7]20,30,31) A mathematical method for the thermodynamic phase transformation is explained in detail in an ordinary textbook. 29) Their observation 5) indicates that the transformation temperature T t is slightly lower than 0:54T m and 0:89T m for the Al and Au bicrystals, respectively, with the AE3 boundary.…”

Section: Phase Transformation Of Grain Boundarymentioning

confidence: 99%

“…[1][2][3][4][5][6][7] In order for the faceting of a grain boundary to take place spontaneously, the total boundary energy should be smaller for the faceted boundary than for the initially flat boundary. Special attention was focused on the faceting of the grain boundary in the binary Cu-Bi system by many investigators.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Occurrence of Faceting for [110] Symmetric Tilt Boundaries in Cu Doped with Bi

Gokon

Kajihara

2008

Mater. Trans.

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The faceting of the grain boundary in the binary Cu-Bi system was experimentally observed by transmission electron microscopy (TEM). For the observation, Cu bicrystals with AE33, AE9 and AE11 [110] symmetric tilt boundaries were doped with Bi at 1173 K for 120 h, and then homogenized at 1173 K for 48 h, followed by furnace cooling or water quenching. The misorientation angle between the [001] directions of the two single-crystals is 20.1 , 38.9 and 50.5 for the AE33, AE9 and AE11 boundaries, respectively. According to the TEM observation, the grain boundary is faceted markedly in the bicrystal with furnace cooling but barely in that with water quenching. Thus, the faceting takes place during furnace cooling but not during homogenization. The faceting was analyzed quantitatively on the basis of the inclination angle dependence of the boundary energy in Cu. The analysis yields that the contribution of the torque term to the faceting is important. Comparing the boundary diffusivities of Bi and Cu in Cu, we may expect that the mobility is much greater for the grain boundary with Bi than for that without Bi. As a result, the faceting during furnace cooling takes place considerably for the grain boundary with Bi but scarcely for that without Bi.

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Mechanics of Nanotwinned Hierarchical Metals

Gao

2012

Nano and Cell Mechanics

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Faceting transformation and energy of a Σ3 grain boundary in silver

Cited by 45 publications

References 8 publications

Faceting of the Σ 3 coincidence tilt boundary in Nb

Faceting of the Σ 3 coincidence tilt boundary in Nb

Occurrence of Faceting for [110] Symmetric Tilt Boundaries in Cu Doped with Bi

Mechanics of Nanotwinned Hierarchical Metals

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