This is the solution for 4(d), which goes along with my solutions in the previous parts, 4(a-c). Your solution may be different numerically, but should have a similar treatment for calculating $\mu$. === Python === Here is the source code in python that produced this image. <> Once you make this type of plot, a natural question that you must ask is — what would be the temperature sensitivity of my device? <> {{{#!highlight python numbers=off #!/usr/bin/env python from pylab import * # Clean up, in case this is an interative session, and # that pylab had been imported before. close () T = 300 # K # From the table of page T84. n-type. N_ref_RT = 1.3e17 # cm^{-3} N_ref_eta = 2.4 mu_min_RT = 92 # cm^2/(Vs) mu_min_eta = -0.57 mu_0_RT = 1268 # cm^2/(Vs) mu_0_eta = -2.33 alpha_RT = 0.91 alpha_eta = -0.146 x = linspace (-30, 40, 100) # C T = x + 273.15 # K # Use the empirical equation (the last eq of page T83) for each par. N_ref = N_ref_RT * (T / 300.) ** N_ref_eta mu_min = mu_min_RT * (T / 300.) ** mu_min_eta mu_0 = mu_0_RT * (T / 300.) ** mu_0_eta alpha = alpha_RT * (T / 300.) ** alpha_eta # Doping N = 1e14 # cm^{-3} mu = mu_min + mu_0 / (1. + (N / N_ref) ** alpha) R = 350.e3 / mu # Ohm (for the solution of part (c) of this prob.) # All hard compuations now done -- plot them! plot (x, R) grid () # Do not forget to give axis labels with UNITS! xlabel ('Temperature (C)') ylabel (r'Resistance ($\Omega$)') projname = 'P6p4d' # The command "savefig" is sort of equivalent to "print" of matlab. # Note that print is a python keyword, and can't be taken by pylab. # Comment out one of these lines to get a print-out in batch mode. #savefig ('%s.svg' % projname) #savefig ('%s.eps' % projname) savefig ('%s.png' % projname) }}} === Matlab === Here is a matlab version of the same code. Matlab-produced image and Octave-produced image: <> <> <> {{{#!highlight matlab numbers=off % Clean slate close clear % From the table of page T84. n-type. N_ref_RT = 1.3e17 % cm^{-3} N_ref_eta = 2.4 mu_min_RT = 92 % cm^2/(Vs) mu_min_eta = -0.57 mu_0_RT = 1268 % cm^2/(Vs) mu_0_eta = -2.33 alpha_RT = 0.91 alpha_eta = -0.146 x = linspace (-30, 40, 100) % C T = x + 273.15 % K % Use the empirical equation (the last eq of page T83) for each par. % Beware of the difference .^ and ^! N_ref = N_ref_RT * (T / 300.) .^ N_ref_eta mu_min = mu_min_RT * (T / 300.) .^ mu_min_eta mu_0 = mu_0_RT * (T / 300.) .^ mu_0_eta alpha = alpha_RT * (T / 300.) .^ alpha_eta % Doping N = 1e14 % cm^{-3} % Beware of the difference .^ and ^ and also between ./ and /! mu = mu_min + mu_0 ./ (1. + (N ./ N_ref) .^ alpha) R = 3.5e5 ./ mu % Ohm (for the solution of part (c) of this prob.) % All hard compuations now done -- plot them! plot (x, R) grid () % Do not forget to give axis labels with UNITS! xlabel ('Temperature (C)') % Matlab can take '\Omega' but Octave can't. % ylabel ('Resistance (\Omega)') ylabel ('Resistance (Ohm)') print -djpeg P6p4d_o.jpg }}}