Periodic pattern formation in solid state reactions related to the Kirkendall effect

Phase Constituents and Microstructure of Interaction Layer Formed in U-Mo Alloys vs Al Diffusion Couples Annealed at 873 K (600 °C)

“…Within the UAl 3 +U 6 Mo 4 Al 43 + UMo 2 Al 20 phase region near the U-Mo terminal alloy, periodic sublayering was observed, as presented in Figure 5(d). The development of periodic layers was observed in many alloy systems [44][45][46][47][48][49][50] due to large differences in mobilities and repetitive interaction of phase transformation influenced by stress buildup due to molar volume differences. In U-Mo vs Al diffusion couples, although not directly determined, there appears to be significant differences in mobilities of Al, Mo, and U.…”

“…The development of a given periodic layer requires localized evolution of stress at the location where the band develops, [44][45][46][47][48][49][50] typically at the interface with one of the terminal alloys. As stress accumulates, the developed band remains stationary, and the interface moves away further into the parent alloy to relieve the stresses, a supersaturated region develops, and the process repeats.…”

Interdiffusion in Ternary Systems with Two-Phase Zones—Approaches and Models

“…2с экспериментально описанный впервые в [38] и подробно исследованный в разных системах [39][40][41][42][43]. Известно описание диффузионных процессов в каждом из слоев диффузионно-образованной периодической структуры со сшивани-ем граничных условий [44], но кинетические особенности образова-ния новых слоев в 2ФЗ и детали формирования периодической структуры 2ФЗ (размеры слоев и последовательность фаз в расту-щей диффузионной зоне) еще не описаны детально.…”

The mechanism of periodic layer formation during solid-state reaction between Mg and SiO2

“…Since its discovery by Osinski et al in 1982, a number of systems have been reported that display regularly spaced layers of reaction products including systems such as Zn/Fe 3 Si, Zn/Co 2 Si, Zn/Ni 3 Si 2 , Mg/Ni 50 Co 20 Fe 30 , Ni/SiC, Pt/SiC, Co/SiC, Mg/SiO 2 , Zn/Ni 3 Si and Al/U 10 Mo [1][2][3][4][5][6][7][8][9][10][11]. The research work focusing on this phenomenon is not only a matter of curiosity, but it is also relevant to fundamental studies of reactive diffusion [12][13][14][15][16][17][18][19] and it might even find applications in areas such as in situ compositional modulation of Mg 2 Si-based thermoelectric materials intended for either cooling or harvesting of waste industrial heat.…”

“…Although several different models have been put forward to explain the formation of periodic layered structures in the reactive diffusion process [1][2][3][4][5][6][7][8][9], the exact nature of the reaction mechanism remains a controversial topic. In 2003, Chen et al [20] proposed the diffusion-induced stresses model to explain the formation mechanism and gave the general quantitative description applicable to periodic layered structures.…”