1974
DOI: 10.1016/0022-0248(74)90251-6
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Kinetics and shape of crystal growth from the melt for substances with low L/kT values

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Cited by 60 publications
(19 citation statements)
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“…In fact, the morphological change with increasing supercooling or driving forces similar to the present study has been reported in both experiment and simulation on crystal growth in a diffusion field [6,16,17,18,19]. For example, in the growth of snow crystals, both a diffusion process and a surface kinetic process are closely reflected in the variety of growth shape [19].…”
Section: Discussionsupporting
confidence: 56%
“…In fact, the morphological change with increasing supercooling or driving forces similar to the present study has been reported in both experiment and simulation on crystal growth in a diffusion field [6,16,17,18,19]. For example, in the growth of snow crystals, both a diffusion process and a surface kinetic process are closely reflected in the variety of growth shape [19].…”
Section: Discussionsupporting
confidence: 56%
“…Authors usually assume simple and unchanged morphologies of the growing shape (i.e., sphere, octahedron or stars with six orthotropic branches representing the ͗100͘ preferred dendrite growth directions) which enclose the mush and is fully surrounded by liq-uid. [9][10][11] These morphologies are based on experimental observation 12) and can eventually change with the local cooling conditions. 11,13) The kinetics models dedicated to the free growth in the undercooled melt consider dendrites growing in an infinite bath with a fixed undercooling, which is kept unchanged during growth.…”
Section: Introductionmentioning
confidence: 99%
“…Both the center and the size of the octahedron associated with a newly captured cell µ are initialized carefully in order to propagate the crystallographic orientation of the grain and to integrate correctly the dendrite tip growth kinetics using the local undercooling, ∆T t µ (Gandin et al 1997). The CA growth procedure has to verify that, after several steps and in a uniform temperature field, a simple octahedral shape is obtained with the correct misorientation with respect to the CA grid, in agreement with experimental observations (Ovsienko et al 1974). …”
Section: Growth Lawmentioning
confidence: 83%