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Piezoresistive Coefficent of n-type Silicon- sigma0 function of N or nd?
Posted Apr 6, 2020, 7:10 PM EDT Electrical, MEMS & Nanotechnology, Mechanical Version 5.4 2 Replies
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I am trying to simulate resistivity change in n-type doped Si given some mechanical stress. My Comsol results for resistivity change are 10E-5 smaller than my theoretical math.
Can anyone please help me understand where the "sigma0" analytic function for n-type piezoresistive Silicon conductivity comes from?
I don't understand the sigma0 equation in terms of 'N'. Is 'N' number density which is equal to dopant concentration or total number of particles? When I define number density nd= dopant conc[1/m^3] my Comsol resistivity change is 10e-5 times smaller than my hand calculations. So I am guessing my definition of nd[1/m3] should not be dopant conc.
This is the comsol eq: (Ne_const0.1400/sqrt(1+N/(N/350 +3e22)))
Thank you so much!