Hostname: page-component-7bb8b95d7b-s9k8s Total loading time: 0 Render date: 2024-09-26T03:09:05.487Z Has data issue: false hasContentIssue false

Step bunching in potassium dihydrogen phosphate crystal growth: Phenomenology

Published online by Cambridge University Press:  31 January 2011

N. A. Booth*
Affiliation:
Department of Chemical Engineering, University of Houston, Houston, Texas 77204–4004
A. A. Chernov
Affiliation:
Universities Space Research Association, 4950 Corporate Drive, Suite 100,Huntsville, Alabama 35806
P. G. Vekilov
Affiliation:
Department of Chemical Engineering, University of Houston, Houston, Texas 77204–4004
*
a)Address all correspondence to this author.nbooth@mail.uh.edu
Get access

Abstract

We have developed a real-time phase-shifting interferometer capable of imaging interfacial morphology with a depth resolution of approximately 25 Å, with a lateral resolution of approximately 0.5 μm across a field of view of 2 × 2mm2, and with time resolution of 0.1 s. The method is applied in situ to the (101) face of potassium dihydrogen phosphate crystals growing from an aqueous solution. We image the formation and evolution of solution-flow-induced step bunches and determine their characteristic wavelength to be λc = 45 μm. This wavelength is within the range predicted by a stability theory on the basis of the balance between the diffusion interaction between steps and capillarity. The value of λc suggests that step–step interactions are the likely major factor for instability.

Type
Articles
Copyright
Copyright © Materials Research Society 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Mullins, W.W. and Sekerka, R.F., Appl. Phys. 34, 323 (1963).CrossRefGoogle Scholar
2.Voronkov, V.V., Sov. Phys. Solid State 6, 2378 (1965).Google Scholar
3.Billia, H. and Trivedi, R., in Handbook of Crystal Growth, edited by Hurle, D.T.J. (North Holland, Amsterdam, The Netherlands, 1993), Vol. 1B, p. 899.Google Scholar
4.Caroli, B., Caroli, C., and Roulet, B., in Solids Far From Equilibrium edited by Godzeche, C. (Cambridge University Press, Cambridge, United Kingdom, 1992), p. 155.Google Scholar
5.Glicksman, M.E. and March, S.P., in Handbook of Crystal Growth, edited by Hurle, D.T.J. (Elsevier/North Holland, New York, 1993), Vol. 1C, p. 1075.Google Scholar
6.Chernov, A.A., Sov. Phys. Usp. 4, 116 (1961).CrossRefGoogle Scholar
7.Eerden, J.P. Van der and Mueller-Krumbhaar, H., Electrochim. Acta 31, 1007 (1986).CrossRefGoogle Scholar
8.Eerden, J.P. Van der and Mueller-Krumbhaar, H., Phys. Rev. Lett. 57, 2431 (1986).CrossRefGoogle Scholar
9.Bales, G.S. and Zangwill, Z., Phys. Rev. B 41, 5500 (1990).CrossRefGoogle Scholar
10.Liu, F. and Metiu, H., Phys. Rev. E. 49, 2601 (1994).CrossRefGoogle Scholar
11.Chernov, A.A., J. Cryst. Growth 118, 333 (1992).CrossRefGoogle Scholar
12.Coriell, S.R., Chernov, A.A., Murray, B.T., and McFadden, G.B., J. Cryst. Growth 183, 669 (1998).CrossRefGoogle Scholar
13.Rashkovich, L.N., KDP-Family Single Crystals (Adam Hilger, Bristol, United Kingdom, 1991).Google Scholar
14.Land, T.A., DeYoreo, J.J., Lee, J.D., and Ferguson, J.R., in Evolution of Thin-Film and Surface Structure and Morphology edited by Demczyk, B.G., Williams, E.D., Garfunkel, E., Clemens, B.M., and Cuomo, J.J. (Mater. Res. Soc. Symp. Proc. 355, Pittsburgh, PA, 1995), p. 45.Google Scholar
15.Land, T.A., DeYoreo, J.J., Martin, T.L., and Palmore, G.T., Crystal-logr Rep. 44, 655 (1999).Google Scholar
16.Krasinski, M.J. and Rolandi, R., J. Cryst. Growth 169, 548 (1996).CrossRefGoogle Scholar
17.Land, T.A., DeYoreo, J.J., and Lee, J.D., Surf. Sci. 384, 136 (1997).CrossRefGoogle Scholar
18.Sangwal, K., Prog. Cryst. Growth Charact. Mater. 36, 163 (1998).CrossRefGoogle Scholar
19.DeYoreo, J.J., Land, T.A., and Dair, B., Phys. Rev. Lett. 73, 838 (1994).CrossRefGoogle Scholar
20.DeYoreo, J.J., Land, T.A., and Lee, J.D., Phys. Rev. Lett. 78, 4462 (1997).CrossRefGoogle Scholar
21.Kuznetov, Y.G., Malkin, A.J., Geenwood, A., and McPherson, A., J. Struct. Biol. 114, 184 (1995).CrossRefGoogle Scholar
22.Malkin, A.J., Kuznetsov, Y.G., Glanz, W., and McPherson, A., J. Phys. Chem. 100, 11736 (1996).CrossRefGoogle Scholar
23.Chernov, A.A., Rashkovich, N.L., and Mkrtchan, A.A., J. Cryst. Growth 74, 101 (1986).CrossRefGoogle Scholar
24.Onuma, K., Tsukamoto, K., and Sunagawa, I., J. Cryst. Growth 89, 177 (1988).CrossRefGoogle Scholar
25.Koliopoulos, C., in Optical Sciences Center (U. Arizona, Tucson, AZ, 1984).Google Scholar
26.Schwider, J., Burrow, R., Elssner, K.E., Grzanna, J., Spolaczyk, R., and Merkel, K., Appl. Opt. 22, 3421 (1983).CrossRefGoogle Scholar
27.Enckevort, W.J.P. van, J. Cryst. Growth 119, 177 (1992).CrossRefGoogle Scholar
28.Onuma, K., Kameyama, T., and Tsukamoto, K., J. Cryst. Growth 137, 610 (1994).CrossRefGoogle Scholar
29.Greivenkamp, J.E. and Bruning, J.H., in Optical Shop Testing 2nd ed., edited by Malacara, D. (John Wiley & Sons, New York, 1992), p. 501.Google Scholar
30.Maruyama, S., Shibata, T., and Tsuakmoto, K., Exp. Therm. Fluid Sci. 19, 34 (1999).CrossRefGoogle Scholar
31.Chernov, A.A., Smol'skii, I.L., Parvov, V.F., Kuznetsov, Yu G., and Rozhanskii, V.N., Sov. Phys. Crystallogr. 25, 469 (1980).Google Scholar
32.Booth, N., Stanojev, B., Chernov, A.A., and Vekilov, P.G., Rev. Sci. Instrum. (2001, in press).Google Scholar
33.Enckevort, W.J.P. van, Prog. Cryst. Growth Charact. 9, 1 (1984).CrossRefGoogle Scholar
34.Chernov, A.A., Kuznetsov, Y.G., Smol'sky, I.L., and Rozhanskii, V.N., Sov. Phys. Crystallogr. 31, 705 (1986).Google Scholar
35.Chernov, A.A., Coriell, S.R., and Murray, B.T., J. Cryst. Growth 132, 405 (1993).CrossRefGoogle Scholar
36.Vekilov, P.G., Kuznetsov, Y.G., and Chernov, A.A., J. Cryst. Growth 121, 643 (1992).CrossRefGoogle Scholar
37.Coriell, S.R., Murrary, B.T., Chernov, A.A., and McFadden, G.B., J. Cryst. Growth 169, 773 (1996).CrossRefGoogle Scholar