The van der Pauw Method is a technique commonly used to measure the Resistivity and the Hall Coefficient of a sample. A correction factor goes into calculating the resistivity as described in van der Pauw paper. A iterative method is generally used to calculate the correction factor and this correction factor is plotted in Figure 5 of van der Pauw paper

I reproduced the same figure below using fsolve function in octave.

This figure was produced by the octave code shown below. The raw data is here.

%This octave/matlab code calculates the correction factor,f as a function of Rmnop/Rnopm. This correcton factor will be used in calculation of sheet resistance/resistivity of thin films.

% Fore more details see the paper L. J. van der Pauw, A method of measuring the resistivity and hall coefficients of Lamellae of arbitrary shape, Philips Technical Review, Vol 26, 220.

clear all

close all

x = logspace(0,3,100);

for i=1:length(x)

Lp=@(f)cosh(((x(i)-1)./(x(i)+1))*(log(2)/f))-0.5*exp((log(2)/f));

F(i) = fsolve(Lp,0.5);

end

semilogx(x,F,'-o')

xlabel('R_{RM,OP}/R_{NO,PM}')

ylabel('Correction Factor (f)')

grid('minor');

title('van der Pauw Correction factors for resistivity measurements');

print('Van_der_Paw_correction_factor.png','-dpng','-r200','-S600,600');

% Fore more details see the paper L. J. van der Pauw, A method of measuring the resistivity and hall coefficients of Lamellae of arbitrary shape, Philips Technical Review, Vol 26, 220.

clear all

close all

x = logspace(0,3,100);

for i=1:length(x)

Lp=@(f)cosh(((x(i)-1)./(x(i)+1))*(log(2)/f))-0.5*exp((log(2)/f));

F(i) = fsolve(Lp,0.5);

end

semilogx(x,F,'-o')

xlabel('R_{RM,OP}/R_{NO,PM}')

ylabel('Correction Factor (f)')

grid('minor');

title('van der Pauw Correction factors for resistivity measurements');

print('Van_der_Paw_correction_factor.png','-dpng','-r200','-S600,600');

May be there is a typo at “xlabel”: R_{RM,OP} instead of R_{MN,OP}.

p.s. very useful indeed thanx for sharing

Thank you very much for sharing.

Andrea

mateer is inadequate please give little more and attach something more

matter is inadequate please give little more and attach something more