References and Acknowledgements



Acknowledgements:

We would like to acknowledge our mentor, Dr. Yifeng Wang, for his help by providing us with resources and supporting us along the way. We would like to thank Dr. David Metzler for his help with the math. We would also like to thank Mr. Jim Mims for his support. This has been a really big project and their support is invaluable.

References:

Anderson, Greg M., and David A. Crerar. "Solid Solution." Thermodynamics in Geochemistry. Oxford: Oxford University Press, 1993. 364-396.

Chung, Sung-hoon, et al. "Evaluation of Elastic Properties and Temperature Effects in Si Thin Films Using an Electrostatic Microresonator." Journal of Microelectromechanical Systems 122.4 (Aug. 2003): 524-530. 25 Mar. 2008 .

Hu, Shaowen, Girish Nathan, Fazle Hussain, Donald J. Kouri, Pradeep Sharma, and Gemunu H. Gunaratne. "On Stability of Self-Assembled Nanoscale Patterns." Journal of the Mechanics and Physics of Solids 55 (2007): 1357-1384. ScienceDirect. Elsevier. 28 Nov. 2007 .

Johnson, K. L. "Point Loading of an Elastic Half-Space." Contact Mechanics. Cambridge, U.K.: Cambridge University Press, 1985. 45-83.

Kaganovskii, Yu. S., L. N. Paritskaya, and V. V. Bogdanov. "Kinetics and Mechanisms of Intermetallic Growth By Surface Interdiffusion." Mat. Res. Soc. Symp. Proc. 527 (1998): 303-307.

Lu, Wei. "Theory and Simulation of Nanoscale Self-Assembly on Substrates." Journal of Computational and Theoretical Nanoscience 3.3 (2006): 342-361.

Lu, Wei, and Dongchoul Kim. "Dynamics of Nanoscale Self-Assembly of Ternary Epilayers." Microelectronic Engineering 75 (2004): 78-84. ScienceDirect. 26 Feb. 2004. Elsevier. 28 Nov. 2007 .

- - -. "Patterning nanoscale Structures by Surface Chemistry." Nano Letters 4.2 (2004): 313-316.

- - -. "Simulation on Nanoscale Self-Assembly of Ternary-Epilayers." Computational Materials Science 32 (2005): 20-30. ScienceDirect. Elsevier. 8 Dec. 2007 .

Pelesko, John A., and David H. Bernstein. "Microfluids." Modeling MEMS and NEMS. New York: CRC Press, 2003. 297-314.

Plass, Richard, Julie A. Last, N. C. Bartelt, and G. L. Kellogg. "Self-Assembled Domain Patterns." Nature 412 (Aug. 2001): 875. 25 Mar. 2008 .

Press, William H., Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. "Fast Fourier Transform." Numerical Recipes in C++. 2nd ed. Cambridge: Cambridge University Press, 2002. 501-541.

Roduner, Emil. Nanoscopic Material: Size-Dependent Phenomena. Cambridge: The Royal Society of Chemistry, 2006.