Abstract
As a growth front moves, concentration gradients form for an impurity (owing to its repulsion by the crystal) and the main substance (owing to its absorption by the crystal during growth from solution). These concentration gradients can cause the initially planar phase boundary to become unstable [1–3]. The random sinusoidal profile with time becomes more regular. The surface acquires a cellular (or macroscopically stepped [4]) structure. Movement of a linear step produces an analogous situation. Even if the medium (liquid or gaseous solution) is mixed well and is completely homogeneous, lateral concentration gradients due to surface diffusion of the main substance and impurities arise near the step. These lateral surface-concentration gradients can destabilize the linear step and produce a two-dimensional cellular structure.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. W. Mullins and R. F. Sekerka, “Stability of a planar interface during solidification of a dilute binary alloy,” J. Appl. Phys., 35, No. 2, 444–451 (1964).
V. V. Voronkov, “Formation conditions of a cellular crystallization front,” Fiz. Tverd. Tela, 6, No. 10, 2984–2988 (1964).
R. F. Sekerka, “Morphological stability,” J. Cryst. Growth, 3/4, 71–81 (1968).
V. V. Voronkov, “Motion of low-angle macrostep,” in: Growth of Crystals, Vol. 13, A. A. Chernov and G. I. Givargizov (eds.), Consultants Bureau, New York (1985), pp. 127–136.
G. S. Bales and A. Zangwill, “Morphological stability of a terrace edge during step-flow growth,” Phys. Rev. B: Condens. Matter, 41, No. 9, 5500–5508 (1990).
C. Herring, “Surface tension as a motivation for sintering,” in: The Physics of Powder Metallurgy, McGraw-Hill, New York (1951), pp. 143–178.
A. A. Chernov, “Layered-spiral growth of crystals,” Usp. Fiz. Nauk, 73, No. 2, 277–331 (1961).
V. V. Voronkov, “Statistics of surfaces, steps and two-dimensional nuclei: A macroscopic approach,” in: Crystals: Growth, Properties, and Applications, Vol. 9, Springer, Berlin (1983), pp. 75–111.
R. L. Schwoebel and E. J. Shipsey, “Step motion on crystal surfaces,” J. Appl. Phys., 37, No. 10, 3682–3686 (1966).
P. Bennema and G. H. Gilmer, “Kinetics of crystal growth,” in: Crystal Growth: An Introduction, North Holland, Amsterdam (1973), pp. 263–327.
A. A. Chernov, L. N. Rashkovich, and A. A. Mkrtchan, “Solution growth kinetics and mechanism: Prismatic face of ADP,” J. Cryst. Growth, 74, No. 1, 101–112 (1986).
L. N. Rashkovich and B. Yu. Shekunov, “Influence of impurities on growth kinetics and morphology of prismatic faces of ADP and KDP crystals,” in: Growth of Crystals, Vol. 18, E. I. Givargizov and S. A. Grinberg (eds.), Consultants Bureau, New York (1992), pp. 107–119.
L. N. Rashkovich, KDP-Family Single Crystals, Adam Higler, Bristol (1991).
V. V. Voronkov and L. N. Rashkovich, “Influence of mobile adsorbed impurity on step kinetics,” Kristallografiya, 37, No. 3, 559–570 (1992).
V. V. Voronkov and L. N. Rashkovich, “Step kinetics in the presence of mobile adsorbed impurity,” J. Cryst. Growth, 144, No. 1/2, 107–115 (1994).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Consultants Bureau, New York
About this chapter
Cite this chapter
Voronkov, V.V. (1996). Morphological Stability of a Linear Step in the Presence of a Mobile Adsorbed Impurity. In: Givargizov, E.I., Melnikova, A.M. (eds) Growth of Crystals. Poct Kpиctaллob / Rost Kristallov / Growth of Crystals, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1141-6_6
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1141-6_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8445-1
Online ISBN: 978-1-4613-1141-6
eBook Packages: Springer Book Archive