Degeneracy breaking of vibrational modes...

Updated: January 28, 2008
Degeneracy breaking of vibrational modes of a silicon sphere

Silicon is anisotropic. The direction averaged speeds of sound in silicon are 9017 m/s and 5372 m/s. "Average silicon" is defined to be an isotropic material whose speeds of sound correspond with the direction averages for silicon. The Poisson ratio of this material is 0.2249.

Figure 1
(a) avgsir1.gif cc4g16.c ν=0.225
(b) sip2r1.gif
(c) sip5r1.gif
(d) siranc1.gif

Table I:
type	x	TOR,l=2		SPH,l=2
average silicon	0.0	2.502		2.637
	0.2	2.435	2.500	2.530	2.630
	0.5	2.320	2.485	2.375	2.625
natural silicon	1.0	2.125	2.480	2.130	2.61

Daniel Murray
Associate Professor
Math, Stats & Physics Unit
University of British Columbia - Okanagan
Kelowna, BC, Canada
daniel "dot" murray "at" ubc "dot" ca

For a list of related articles click on the link.

Hosted by www.Geocities.ws