You are now following this question
- You will see updates in your followed content feed.
- You may receive emails, depending on your communication preferences.
1d Diffusion (for a complete newbe)
2 views (last 30 days)
Show older comments
Hello everyone, I am very sorry if this question is stupid but I am totally new to matlab and want to use the program to fit diffusion data with an error function. From my experiences I get values like that: x ... depth in cm y ... concentration in [atoms/cm³) What I have done so far was to import the data to Matlab by using the import data button. I have now the x values as doubles and the y values as doubles in the program. Now I tried to fit the values with the following formula:
y=(C-B)*erfc(X/sqrt(4*D*t))+B
C and D are unknown, B and t are constants (which I entered by number) Now I was trying to fit the data with the following expression:
....................
ft=fittype('(C-3,21694e18)*erfc(x/sqrt(4*D*225900))+3,21694e18', 'independent', 'x', 'dependent', 'y' );
fitresult=fit(x,y,ft);
plot(fitresult,x,y)
...................
This is all I wrote into the program, so probably I missed something very basic. Nevertheless I get an error message:
................
Error in Diffusionsfitting (line 1)
ft=fittype('(C-3,21694e18)*erfc(x/sqrt(4*D*225900))+3,21694e18', 'independent', 'x', 'dependent', 'y' );
Caused by:
Error using fittype/evaluate (line 102)
Error in fittype expression ==> (C-3,21694e18).*erfc(x./sqrt(4.*D.*225900))+3,21694e18
??? Error: Expression or statement is incorrect--possibly unbalanced (, {, or [.
...................
Can you probably tell me, what I am doing wrong? I know, I should spend more time on matlab since I am missing all the basics. But as I am not used to programming and with limited time during my Ph.D. it's gonna take very long and I would really need the results for my research. Thank you very much for you're help. BR, Stefan
Answers (1)
Geoff Hayes
on 22 Nov 2015
Stefan - I don't have the Curve Fitting Toolbox so I can't tell with certainty what may be the problem. But looking at expression to fittype
'(C-3,21694e18)*erfc(x/sqrt(4*D*225900))+3,21694e18'
you have two commas rather than periods for two of the numbers. Try replacing your expression with
'(C-3.21694e18)*erfc(x/sqrt(4*D*225900))+3.21694e18'
5 Comments
Stefan Schwab
on 22 Nov 2015
Edited: Geoff Hayes
on 23 Nov 2015
Hey, thank you for you're help. You might be right here, but even with the . instead of the , there is an error (which now seems to contain more info, so you were right):
............
>> Diffusionsfitting
Warning: Start point not provided, choosing random start point.
> In Warning>Warning.throw at 30
In fit>iFit at 299
In fit at 108
In Diffusionsfitting at 2
Error using fit>iFit (line 340)
Error in fittype expression ==> (C-3.21694e18).*erfc(x./sqrt(4.*D.*225900))+3.21694e18
??? Input must be real and full.
Error in fit (line 108)
[fitobj, goodness, output, convmsg] = iFit( xdatain, ydatain, fittypeobj, ...
Error in Diffusionsfitting (line 2)
fitresult=fit(x,y,ft);
..............
Is it possible, that the values are too high? If I enter smaller constants (e.g. 1e17), the program works (even if the fitting goes wrong as the value is incorrect...
Geoff Hayes
on 23 Nov 2015
It could be that your values are too high, but without knowing where or how you arrived at these values or what C or D etc. are, it will be difficult to comment on the behaviour you are observing.
Stefan Schwab
on 23 Nov 2015
Hey, ok, I will try to be more specific: This is a sample Dataset: ............................ x y 6,49E-06 1,64E+19 7,08E-06 1,64E+19 7,67E-06 1,61E+19 8,26E-06 1,55E+19 8,85E-06 1,51E+19 9,44E-06 1,48E+19 1,00E-05 1,45E+19 1,06E-05 1,45E+19 1,12E-05 1,41E+19 1,18E-05 1,39E+19 1,24E-05 1,37E+19 1,30E-05 1,36E+19 1,36E-05 1,34E+19 1,42E-05 1,31E+19 1,48E-05 1,28E+19 1,53E-05 1,29E+19 1,59E-05 1,28E+19 1,65E-05 1,28E+19 1,71E-05 1,28E+19 1,77E-05 1,26E+19 1,83E-05 1,25E+19 1,89E-05 1,24E+19 1,95E-05 1,19E+19 2,01E-05 1,17E+19 2,07E-05 1,13E+19 2,12E-05 1,08E+19 2,18E-05 1,03E+19 2,24E-05 1,01E+19 2,30E-05 9,64E+18 2,36E-05 9,15E+18 2,42E-05 8,72E+18 2,48E-05 8,40E+18 2,54E-05 8,25E+18 2,60E-05 8,21E+18 2,66E-05 7,90E+18 2,71E-05 7,67E+18 2,77E-05 7,69E+18 2,83E-05 7,60E+18 2,89E-05 7,47E+18 2,95E-05 7,11E+18 3,01E-05 6,95E+18 3,07E-05 6,73E+18 3,13E-05 6,63E+18 3,19E-05 6,44E+18 3,25E-05 6,32E+18 3,30E-05 6,22E+18 3,36E-05 6,28E+18 3,42E-05 6,08E+18 3,48E-05 5,84E+18 3,54E-05 5,67E+18 3,60E-05 5,75E+18 3,66E-05 5,61E+18 3,72E-05 5,46E+18 3,78E-05 5,45E+18 3,84E-05 5,28E+18 3,90E-05 5,31E+18 3,95E-05 5,22E+18 4,01E-05 4,96E+18 4,07E-05 4,87E+18 4,13E-05 4,82E+18 4,19E-05 4,71E+18 4,25E-05 4,65E+18 4,31E-05 4,65E+18 4,37E-05 4,78E+18 4,43E-05 4,70E+18 4,49E-05 4,63E+18 4,54E-05 4,58E+18 4,60E-05 4,54E+18 4,66E-05 4,40E+18 4,72E-05 4,40E+18 4,78E-05 4,18E+18 4,84E-05 4,19E+18 4,90E-05 4,27E+18 4,96E-05 4,26E+18 5,02E-05 4,15E+18 5,08E-05 4,22E+18 5,13E-05 4,15E+18 5,19E-05 4,21E+18 5,25E-05 4,13E+18 5,31E-05 4,20E+18 5,37E-05 4,17E+18 5,43E-05 4,41E+18 5,49E-05 4,44E+18 5,55E-05 4,47E+18 5,61E-05 4,32E+18 5,67E-05 4,36E+18 5,72E-05 4,18E+18 5,78E-05 4,21E+18 5,84E-05 3,95E+18 5,90E-05 4,00E+18 5,96E-05 4,08E+18 6,02E-05 4,23E+18 6,08E-05 4,18E+18 6,14E-05 4,31E+18 6,20E-05 4,23E+18 6,26E-05 4,26E+18 6,31E-05 4,12E+18 6,37E-05 4,04E+18 6,43E-05 3,96E+18 6,49E-05 4,01E+18 6,55E-05 3,79E+18 6,61E-05 3,76E+18 6,67E-05 3,71E+18 6,73E-05 3,69E+18 6,79E-05 3,69E+18 6,85E-05 3,72E+18 6,91E-05 3,72E+18 6,96E-05 3,81E+18 7,02E-05 3,77E+18 7,08E-05 3,85E+18 7,14E-05 3,97E+18 7,20E-05 3,88E+18 7,26E-05 3,78E+18 7,32E-05 3,74E+18 7,38E-05 3,62E+18 7,44E-05 3,73E+18 7,50E-05 3,66E+18 7,55E-05 3,61E+18 7,61E-05 3,70E+18 7,67E-05 3,75E+18 7,73E-05 3,82E+18 7,79E-05 3,93E+18 7,85E-05 3,96E+18 7,91E-05 3,96E+18 7,97E-05 3,94E+18 8,03E-05 3,91E+18 8,09E-05 3,99E+18 8,14E-05 4,01E+18 8,20E-05 4,10E+18 8,26E-05 4,12E+18 8,32E-05 4,01E+18 8,38E-05 3,99E+18 8,44E-05 3,99E+18 8,50E-05 4,02E+18 8,56E-05 3,99E+18 8,62E-05 3,86E+18 8,68E-05 3,88E+18 8,73E-05 4,06E+18 8,79E-05 4,07E+18 8,85E-05 3,91E+18 8,91E-05 3,82E+18 8,97E-05 3,81E+18 9,03E-05 3,97E+18 9,09E-05 3,94E+18 9,15E-05 3,76E+18 9,21E-05 3,72E+18 9,27E-05 3,73E+18 9,32E-05 3,71E+18 9,38E-05 3,67E+18 9,44E-05 3,57E+18 9,50E-05 3,62E+18 9,56E-05 3,73E+18 9,62E-05 3,77E+18 9,68E-05 3,88E+18 9,74E-05 3,82E+18 9,80E-05 3,70E+18 9,86E-05 3,52E+18 9,91E-05 3,29E+18 9,97E-05 3,20E+18 1,00E-04 3,20E+18 1,01E-04 3,08E+18 1,02E-04 2,99E+18 1,02E-04 3,07E+18 1,03E-04 3,16E+18 1,03E-04 3,48E+18 1,04E-04 3,41E+18 1,04E-04 3,47E+18 1,05E-04 3,66E+18 1,06E-04 3,85E+18 1,06E-04 3,96E+18 1,07E-04 4,02E+18 1,07E-04 3,78E+18 1,08E-04 3,88E+18 1,09E-04 3,74E+18 1,09E-04 3,62E+18 1,10E-04 3,49E+18 1,10E-04 3,47E+18 1,11E-04 3,40E+18 1,12E-04 3,35E+18 1,12E-04 3,24E+18 1,13E-04 3,25E+18 1,13E-04 3,20E+18 1,14E-04 3,40E+18 1,14E-04 3,33E+18 1,15E-04 3,40E+18 1,16E-04 3,42E+18 1,16E-04 3,68E+18 1,17E-04 3,84E+18 1,17E-04 3,94E+18 1,18E-04 3,85E+18 1,19E-04 3,79E+18 1,19E-04 3,75E+18 1,20E-04 3,74E+18 1,20E-04 3,51E+18 1,21E-04 3,41E+18 1,22E-04 3,22E+18 1,22E-04 3,18E+18 1,23E-04 3,08E+18 1,23E-04 3,06E+18 1,24E-04 2,95E+18 1,25E-04 3,00E+18 1,25E-04 3,03E+18 1,26E-04 3,08E+18 1,26E-04 3,24E+18 1,27E-04 3,32E+18 1,27E-04 3,32E+18 1,28E-04 3,44E+18 1,29E-04 3,45E+18 1,29E-04 3,43E+18 1,30E-04 3,46E+18 1,30E-04 3,30E+18 1,31E-04 3,30E+18 1,32E-04 3,35E+18 1,32E-04 3,22E+18 1,33E-04 3,19E+18 1,33E-04 3,11E+18 1,34E-04 3,14E+18 1,35E-04 3,04E+18 1,35E-04 3,07E+18 1,36E-04 2,93E+18 1,36E-04 2,98E+18 1,37E-04 2,93E+18 1,38E-04 3,01E+18 1,38E-04 3,00E+18 1,39E-04 3,08E+18 1,39E-04 3,03E+18 1,40E-04 3,09E+18 1,40E-04 3,11E+18 1,41E-04 3,11E+18 1,42E-04 2,99E+18 1,42E-04 3,07E+18 1,43E-04 3,08E+18 1,43E-04 3,26E+18 1,44E-04 3,31E+18 1,45E-04 3,44E+18 1,45E-04 3,56E+18 1,46E-04 3,58E+18 1,46E-04 3,49E+18 1,47E-04 3,44E+18 1,48E-04 3,29E+18 1,48E-04 3,26E+18 1,49E-04 3,05E+18 1,49E-04 3,06E+18 1,50E-04 3,12E+18 1,50E-04 3,19E+18 1,51E-04 3,09E+18 1,52E-04 3,14E+18 1,52E-04 3,12E+18 1,53E-04 3,26E+18 1,53E-04 3,25E+18 1,54E-04 3,25E+18 1,55E-04 3,14E+18 1,55E-04 3,25E+18 1,56E-04 3,20E+18 1,56E-04 3,23E+18 1,57E-04 3,20E+18 1,58E-04 3,11E+18 1,58E-04 3,13E+18 1,59E-04 3,25E+18 1,59E-04 3,19E+18 1,60E-04 3,18E+18 1,61E-04 3,16E+18 1,61E-04 3,14E+18 1,62E-04 3,05E+18 1,62E-04 2,99E+18 1,63E-04 2,89E+18 1,63E-04 2,92E+18 1,64E-04 2,94E+18 1,65E-04 2,92E+18 1,65E-04 2,90E+18 1,66E-04 2,86E+18 1,66E-04 2,86E+18 1,67E-04 2,91E+18 1,68E-04 2,89E+18 1,68E-04 2,78E+18 1,69E-04 2,83E+18 1,69E-04 2,81E+18 1,70E-04 2,95E+18 1,71E-04 2,89E+18 1,71E-04 2,78E+18 1,72E-04 2,75E+18 1,72E-04 2,71E+18 1,73E-04 2,52E+18 1,74E-04 2,45E+18 1,74E-04 2,28E+18 1,75E-04 2,25E+18 1,75E-04 2,10E+18 1,76E-04 1,99E+18 1,76E-04 1,95E+18 1,77E-04 1,99E+18 1,78E-04 1,99E+18 1,78E-04 2,16E+18 1,79E-04 2,12E+18 1,79E-04 2,22E+18 1,80E-04 2,14E+18 1,81E-04 2,18E+18 1,81E-04 2,17E+18 1,82E-04 2,18E+18 1,82E-04 1,94E+18 1,83E-04 2,13E+18 1,84E-04 2,19E+18 1,84E-04 2,23E+18 1,85E-04 2,24E+18 1,85E-04 2,25E+18 1,86E-04 2,18E+18 1,86E-04 2,29E+18 1,87E-04 2,07E+18 1,88E-04 2,10E+18 1,88E-04 2,12E+18 1,89E-04 2,14E+18 1,89E-04 2,23E+18 1,90E-04 2,26E+18 1,91E-04 2,36E+18 1,91E-04 2,43E+18 1,92E-04 2,43E+18 1,92E-04 2,43E+18 1,93E-04 2,42E+18 1,94E-04 2,37E+18 1,94E-04 2,40E+18 1,95E-04 2,43E+18 1,95E-04 2,51E+18 1,96E-04 2,45E+18 1,97E-04 2,52E+18 1,97E-04 2,59E+18 1,98E-04 2,51E+18 1,98E-04 2,67E+18 1,99E-04 2,59E+18 1,99E-04 2,52E+18 2,00E-04 2,51E+18 2,01E-04 2,45E+18 2,01E-04 2,34E+18 2,02E-04 2,41E+18 2,02E-04 2,28E+18 2,03E-04 2,26E+18 2,04E-04 2,30E+18 2,04E-04 2,37E+18 2,05E-04 2,51E+18 2,05E-04 2,60E+18 2,06E-04 2,54E+18 2,07E-04 2,61E+18 2,07E-04 2,63E+18 2,08E-04 2,66E+18 2,08E-04 2,66E+18 2,09E-04 2,75E+18 2,10E-04 2,66E+18 2,10E-04 2,73E+18 2,11E-04 2,69E+18 2,11E-04 2,62E+18 2,12E-04 2,62E+18 2,12E-04 2,59E+18 2,13E-04 2,42E+18 2,14E-04 2,54E+18 2,14E-04 2,53E+18 2,15E-04 2,48E+18 2,15E-04 2,53E+18 2,16E-04 2,47E+18 2,17E-04 2,41E+18 2,17E-04 2,40E+18 2,18E-04 2,40E+18 2,18E-04 2,38E+18 2,19E-04 2,37E+18 2,20E-04 2,32E+18 2,20E-04 2,45E+18 2,21E-04 2,56E+18 2,21E-04 2,53E+18 2,22E-04 2,54E+18 2,22E-04 2,49E+18 2,23E-04 2,63E+18 2,24E-04 2,62E+18 2,24E-04 2,54E+18 2,25E-04 2,37E+18 2,25E-04 2,39E+18 2,26E-04 2,26E+18 2,27E-04 2,26E+18 2,27E-04 2,15E+18 2,28E-04 2,25E+18 2,28E-04 2,07E+18 2,29E-04 2,19E+18 2,30E-04 2,24E+18 2,30E-04 2,34E+18 2,31E-04 2,40E+18 2,31E-04 2,27E+18 2,32E-04 2,17E+18 2,33E-04 2,24E+18 2,33E-04 2,22E+18 2,34E-04 2,22E+18 2,34E-04 2,15E+18 2,35E-04 2,05E+18 2,35E-04 2,08E+18 2,36E-04 2,09E+18 2,37E-04 2,12E+18 2,37E-04 2,10E+18 2,38E-04 2,02E+18 2,38E-04 1,99E+18 2,39E-04 2,10E+18 2,40E-04 2,18E+18 2,40E-04 2,24E+18 2,41E-04 2,18E+18 2,41E-04 2,18E+18 2,42E-04 2,15E+18 2,43E-04 2,16E+18 2,43E-04 2,05E+18 2,44E-04 2,02E+18 2,44E-04 1,94E+18 2,45E-04 2,05E+18 2,46E-04 2,05E+18 2,46E-04 2,07E+18 2,47E-04 2,15E+18 2,47E-04 2,28E+18 2,48E-04 2,31E+18 2,48E-04 2,29E+18 2,49E-04 2,32E+18 2,50E-04 2,24E+18 2,50E-04 2,26E+18 2,51E-04 2,15E+18 2,51E-04 2,10E+18 2,52E-04 2,05E+18 2,53E-04 2,06E+18 2,53E-04 2,05E+18 2,54E-04 2,10E+18 2,54E-04 2,05E+18 2,55E-04 2,20E+18 2,56E-04 2,10E+18 2,56E-04 2,15E+18 2,57E-04 2,15E+18 2,57E-04 2,07E+18 2,58E-04 2,00E+18 2,58E-04 1,98E+18 2,59E-04 1,91E+18 2,60E-04 1,95E+18 2,60E-04 1,81E+18 2,61E-04 1,80E+18 2,61E-04 1,75E+18 2,62E-04 1,83E+18 2,63E-04 1,80E+18 2,63E-04 1,80E+18 2,64E-04 1,80E+18 2,64E-04 1,77E+18 2,65E-04 1,74E+18 2,66E-04 1,67E+18 2,66E-04 1,63E+18 2,67E-04 1,61E+18 2,67E-04 1,43E+18 2,68E-04 1,39E+18 2,69E-04 1,42E+18 2,69E-04 1,45E+18 2,70E-04 1,56E+18 2,70E-04 1,53E+18 2,71E-04 1,71E+18 2,71E-04 1,82E+18 2,72E-04 1,80E+18 2,73E-04 1,81E+18 2,73E-04 1,83E+18 2,74E-04 1,74E+18 2,74E-04 1,71E+18 2,75E-04 1,55E+18 2,76E-04 1,53E+18 2,76E-04 1,69E+18 2,77E-04 1,82E+18 2,77E-04 1,88E+18 2,78E-04 1,92E+18 2,79E-04 1,88E+18 2,79E-04 2,00E+18 2,80E-04 2,03E+18 2,80E-04 1,87E+18 2,81E-04 1,86E+18 2,82E-04 1,78E+18 2,82E-04 1,85E+18 2,83E-04 1,94E+18 2,83E-04 1,94E+18 2,84E-04 1,96E+18 2,84E-04 1,99E+18 2,85E-04 1,88E+18 2,86E-04 1,91E+18 2,86E-04 1,88E+18 2,87E-04 1,90E+18 2,87E-04 1,85E+18 2,88E-04 1,85E+18 2,89E-04 1,88E+18 2,89E-04 1,96E+18 2,90E-04 1,99E+18 2,90E-04 1,99E+18 2,91E-04 1,94E+18 2,92E-04 1,99E+18 2,92E-04 1,94E+18 2,93E-04 1,91E+18 2,93E-04 1,92E+18 2,94E-04 1,88E+18 2,94E-04 1,87E+18 2,95E-04 1,91E+18 2,96E-04 1,77E+18 2,96E-04 1,71E+18 2,97E-04 1,66E+18 2,97E-04 1,59E+18 2,98E-04 1,57E+18 2,99E-04 1,61E+18 2,99E-04 1,58E+18 3,00E-04 1,68E+18 3,00E-04 1,74E+18 3,01E-04 1,75E+18 3,02E-04 1,72E+18 3,02E-04 1,72E+18 3,03E-04 1,69E+18 3,03E-04 1,67E+18 3,04E-04 1,62E+18 3,05E-04 1,61E+18 3,05E-04 1,65E+18 3,06E-04 1,71E+18 3,06E-04 1,73E+18 3,07E-04 1,70E+18 3,07E-04 1,73E+18 3,08E-04 1,88E+18 3,09E-04 1,85E+18 3,09E-04 1,83E+18 3,10E-04 1,84E+18 3,10E-04 1,79E+18 3,11E-04 1,77E+18 3,12E-04 1,83E+18 3,12E-04 1,66E+18 3,13E-04 1,71E+18 3,13E-04 1,66E+18 3,14E-04 1,59E+18 3,15E-04 1,55E+18 3,15E-04 1,53E+18 3,16E-04 1,46E+18 3,16E-04 1,48E+18 3,17E-04 1,42E+18 3,18E-04 1,47E+18 3,18E-04 1,46E+18 3,19E-04 1,59E+18 3,19E-04 1,60E+18 3,20E-04 1,61E+18 3,20E-04 1,64E+18 3,21E-04 1,66E+18 3,22E-04 1,61E+18 3,22E-04 1,72E+18 3,23E-04 1,72E+18 3,23E-04 1,81E+18 3,24E-04 1,81E+18 3,25E-04 1,85E+18 3,25E-04 1,85E+18 3,26E-04 1,96E+18 3,26E-04 1,86E+18 3,27E-04 1,86E+18 3,28E-04 1,85E+18 3,28E-04 1,82E+18 3,29E-04 1,69E+18 3,29E-04 1,67E+18 3,30E-04 1,65E+18 3,30E-04 1,70E+18 3,31E-04 1,62E+18 3,32E-04 1,60E+18 3,32E-04 1,64E+18 3,33E-04 1,70E+18 3,33E-04 1,69E+18 3,34E-04 1,72E+18 3,35E-04 1,61E+18 3,35E-04 1,64E+18 3,36E-04 1,55E+18 3,36E-04 1,50E+18 3,37E-04 1,42E+18 3,38E-04 1,45E+18 3,38E-04 1,34E+18 3,39E-04 1,42E+18 3,39E-04 1,39E+18 3,40E-04 1,39E+18 3,41E-04 1,45E+18 3,41E-04 1,52E+18 3,42E-04 1,46E+18 3,42E-04 1,39E+18 3,43E-04 1,41E+18 3,43E-04 1,37E+18 3,44E-04 1,45E+18 3,45E-04 1,46E+18 3,45E-04 1,43E+18 3,46E-04 1,47E+18 3,46E-04 1,51E+18 3,47E-04 1,56E+18 3,48E-04 1,74E+18 3,48E-04 1,72E+18 3,49E-04 1,70E+18 3,49E-04 1,73E+18 3,50E-04 1,75E+18 3,51E-04 1,80E+18 3,51E-04 1,76E+18 3,52E-04 1,64E+18 3,52E-04 1,59E+18 3,53E-04 1,54E+18 3,54E-04 1,52E+18 3,54E-04 1,57E+18 3,55E-04 1,66E+18 3,55E-04 1,60E+18 3,56E-04 1,58E+18 3,56E-04 1,58E+18 3,57E-04 1,58E+18 3,58E-04 1,60E+18 3,58E-04 1,45E+18 3,59E-04 1,33E+18 3,59E-04 1,36E+18 3,60E-04 1,31E+18 3,61E-04 1,28E+18 3,61E-04 1,22E+18 3,62E-04 1,15E+18 3,62E-04 1,23E+18 3,63E-04 1,29E+18 3,64E-04 1,31E+18 3,64E-04 1,42E+18 3,65E-04 1,45E+18 3,65E-04 1,58E+18 3,66E-04 1,59E+18 3,66E-04 1,62E+18 3,67E-04 1,57E+18 3,68E-04 1,54E+18 3,68E-04 1,45E+18 3,69E-04 1,52E+18 3,69E-04 1,43E+18 3,70E-04 1,41E+18 3,71E-04 1,37E+18 3,71E-04 1,37E+18 3,72E-04 1,39E+18 3,72E-04 1,44E+18 3,73E-04 1,39E+18 3,74E-04 1,47E+18 3,74E-04 1,48E+18 3,75E-04 1,53E+18 3,75E-04 1,51E+18 3,76E-04 1,45E+18 3,77E-04 1,34E+18 3,77E-04 1,30E+18 3,78E-04 1,29E+18 3,78E-04 1,34E+18 3,79E-04 1,26E+18 3,79E-04 1,29E+18 3,80E-04 1,32E+18 3,81E-04 1,38E+18 3,81E-04 1,33E+18 3,82E-04 1,31E+18 3,82E-04 1,32E+18 3,83E-04 1,37E+18 3,84E-04 1,28E+18 3,84E-04 1,31E+18 3,85E-04 1,29E+18 3,85E-04 1,33E+18 3,86E-04 1,26E+18 3,87E-04 1,16E+18 3,87E-04 1,09E+18 3,88E-04 1,17E+18 3,88E-04 1,11E+18 3,89E-04 1,18E+18 3,90E-04 1,19E+18 3,90E-04 1,26E+18 3,91E-04 1,34E+18 3,91E-04 1,40E+18 3,92E-04 1,37E+18 3,92E-04 1,40E+18 3,93E-04 1,39E+18 3,94E-04 1,32E+18 3,94E-04 1,26E+18 3,95E-04 1,26E+18 3,95E-04 1,24E+18 3,96E-04 1,21E+18 3,97E-04 1,15E+18 3,97E-04 1,15E+18 3,98E-04 1,20E+18 3,98E-04 1,26E+18 3,99E-04 1,26E+18 4,00E-04 1,27E+18 4,00E-04 1,34E+18 4,01E-04 1,37E+18 4,01E-04 1,33E+18 4,02E-04 1,39E+18 4,02E-04 1,42E+18 4,03E-04 1,41E+18 4,04E-04 1,33E+18 4,04E-04 1,28E+18 4,05E-04 1,33E+18 4,05E-04 1,43E+18 4,06E-04 1,39E+18 4,07E-04 1,30E+18 4,07E-04 1,23E+18 4,08E-04 1,31E+18 4,08E-04 1,37E+18 4,09E-04 1,44E+18 4,10E-04 1,36E+18 4,10E-04 1,38E+18 4,11E-04 1,37E+18 4,11E-04 1,42E+18 4,12E-04 1,43E+18 4,13E-04 1,42E+18 4,13E-04 1,34E+18 4,14E-04 1,36E+18 4,14E-04 1,29E+18 4,15E-04 1,32E+18 4,15E-04 1,26E+18 4,16E-04 1,26E+18 4,17E-04 1,20E+18 4,17E-04 1,16E+18 4,18E-04 1,13E+18 4,18E-04 1,16E+18 4,19E-04 1,15E+18 4,20E-04 1,23E+18 4,20E-04 1,23E+18 4,21E-04 1,32E+18 4,21E-04 1,32E+18 4,22E-04 1,30E+18 4,23E-04 1,21E+18 4,23E-04 1,28E+18 4,24E-04 1,22E+18 4,24E-04 1,17E+18 4,25E-04 1,14E+18 4,26E-04 1,14E+18 4,26E-04 1,17E+18 4,27E-04 1,28E+18 4,27E-04 1,19E+18 4,28E-04 1,24E+18 4,28E-04 1,19E+18 4,29E-04 1,18E+18 4,30E-04 1,09E+18 4,30E-04 1,06E+18 4,31E-04 1,01E+18 4,31E-04 1,01E+18 4,32E-04 9,71E+17 4,33E-04 9,34E+17 4,33E-04 8,76E+17 4,34E-04 9,78E+17 4,34E-04 9,42E+17 4,35E-04 9,93E+17 4,36E-04 1,05E+18 4,36E-04 1,07E+18 4,37E-04 1,13E+18 4,37E-04 1,10E+18 4,38E-04 1,02E+18 4,38E-04 1,03E+18 4,39E-04 9,71E+17 4,40E-04 9,27E+17 4,40E-04 9,27E+17 4,41E-04 9,05E+17 4,41E-04 9,56E+17 4,42E-04 1,00E+18 4,43E-04 1,12E+18 4,43E-04 1,15E+18 4,44E-04 1,19E+18 4,44E-04 1,26E+18 4,45E-04 1,26E+18 4,46E-04 1,29E+18 4,46E-04 1,40E+18 4,47E-04 1,34E+18 4,47E-04 1,32E+18 4,48E-04 1,32E+18 4,49E-04 1,26E+18 4,49E-04 1,26E+18 4,50E-04 1,28E+18 4,50E-04 1,20E+18 4,51E-04 1,28E+18 4,51E-04 1,26E+18 4,52E-04 1,21E+18 4,53E-04 1,15E+18 4,53E-04 1,15E+18 4,54E-04 1,10E+18 4,54E-04 1,03E+18 4,55E-04 8,83E+17 4,56E-04 8,83E+17 4,56E-04 8,61E+17 4,57E-04 9,05E+17 4,57E-04 9,49E+17 4,58E-04 9,63E+17 4,59E-04 1,03E+18 4,59E-04 1,03E+18 4,60E-04 1,02E+18 4,60E-04 1,04E+18 4,61E-04 1,03E+18 4,62E-04 1,01E+18 4,62E-04 9,34E+17 4,63E-04 8,54E+17 4,63E-04 8,98E+17 4,64E-04 9,20E+17 4,64E-04 8,69E+17 4,65E-04 9,42E+17 4,66E-04 9,34E+17 4,66E-04 9,56E+17 4,67E-04 9,49E+17 4,67E-04 9,71E+17 4,68E-04 9,27E+17 4,69E-04 9,42E+17 4,69E-04 8,98E+17 4,70E-04 8,54E+17 4,70E-04 9,20E+17 4,71E-04 9,78E+17 4,72E-04 9,56E+17 4,72E-04 9,85E+17 4,73E-04 9,71E+17 4,73E-04 9,71E+17 4,74E-04 1,00E+18 4,74E-04 9,34E+17 4,75E-04 8,98E+17 4,76E-04 9,49E+17 4,76E-04 9,27E+17 4,77E-04 1,02E+18 4,77E-04 9,85E+17 4,78E-04 1,03E+18 4,79E-04 1,08E+18 4,79E-04 1,09E+18 4,80E-04 1,11E+18 4,80E-04 1,18E+18 4,81E-04 1,13E+18 4,82E-04 1,23E+18 4,82E-04 1,22E+18 4,83E-04 1,23E+18 4,83E-04 1,21E+18 4,84E-04 1,12E+18 4,85E-04 1,06E+18 4,85E-04 9,85E+17 4,86E-04 9,34E+17 4,86E-04 8,76E+17 4,87E-04 7,88E+17 4,87E-04 8,17E+17 4,88E-04 8,76E+17 4,89E-04 9,12E+17 4,89E-04 9,71E+17 4,90E-04 9,12E+17 4,90E-04 9,34E+17 4,91E-04 9,63E+17 4,92E-04 1,04E+18 4,92E-04 9,93E+17 4,93E-04 9,85E+17 4,93E-04 9,63E+17 4,94E-04 1,07E+18 4,95E-04 1,07E+18 4,95E-04 1,05E+18 4,96E-04 9,42E+17 4,96E-04 9,93E+17 4,97E-04 9,63E+17 4,98E-04 9,71E+17 4,98E-04 8,39E+17 4,99E-04 7,96E+17 4,99E-04 8,10E+17 5,00E-04 7,59E+17 5,00E-04 6,86E+17 5,01E-04 7,37E+17 5,02E-04 7,08E+17 5,02E-04 8,10E+17 5,03E-04 8,47E+17 5,03E-04 8,32E+17 5,04E-04 9,05E+17 5,05E-04 9,34E+17 5,05E-04 9,20E+17 5,06E-04 9,27E+17 5,06E-04 8,17E+17 5,07E-04 8,32E+17 5,08E-04 8,47E+17 5,08E-04 8,54E+17 5,09E-04 8,10E+17 5,09E-04 7,96E+17 5,10E-04 8,32E+17 5,11E-04 8,61E+17 5,11E-04 8,47E+17 5,12E-04 7,81E+17 5,12E-04 7,37E+17 5,13E-04 8,17E+17 5,13E-04 8,17E+17 5,14E-04 7,81E+17 5,15E-04 7,74E+17 5,15E-04 7,52E+17 5,16E-04 8,10E+17 5,16E-04 8,39E+17 5,17E-04 8,17E+17 5,18E-04 7,96E+17 5,18E-04 7,37E+17 5,19E-04 7,74E+17 5,19E-04 8,25E+17 5,20E-04 8,39E+17 5,21E-04 8,17E+17 5,21E-04 7,88E+17 5,22E-04 8,32E+17 5,22E-04 8,54E+17 5,23E-04 8,47E+17 5,23E-04 8,25E+17 5,24E-04 7,88E+17 5,25E-04 8,25E+17 5,25E-04 8,54E+17 5,26E-04 8,47E+17 5,26E-04 8,90E+17 5,27E-04 9,71E+17 5,28E-04 1,01E+18 5,28E-04 1,04E+18 5,29E-04 1,02E+18 5,29E-04 9,93E+17 5,30E-04 9,63E+17 5,31E-04 9,85E+17 5,31E-04 1,02E+18 5,32E-04 9,34E+17 5,32E-04 8,76E+17 5,33E-04 8,03E+17 5,34E-04 7,66E+17 5,34E-04 7,37E+17 5,35E-04 7,15E+17 5,35E-04 6,06E+17 5,36E-04 6,28E+17 5,36E-04 7,08E+17 5,37E-04 8,47E+17 5,38E-04 8,47E+17 5,38E-04 8,90E+17 5,39E-04 8,39E+17 5,39E-04 8,03E+17 5,40E-04 8,25E+17 5,41E-04 8,10E+17 5,41E-04 7,08E+17 5,42E-04 8,32E+17 5,42E-04 8,17E+17 5,43E-04 8,61E+17 5,44E-04 8,83E+17 5,44E-04 8,83E+17 5,45E-04 8,32E+17 5,45E-04 8,90E+17 5,46E-04 7,74E+17 5,47E-04 7,22E+17 5,47E-04 7,22E+17 5,48E-04 6,86E+17 5,48E-04 6,86E+17 5,49E-04 7,08E+17 5,49E-04 7,15E+17 5,50E-04 7,74E+17 5,51E-04 7,88E+17 5,51E-04 8,10E+17 5,52E-04 8,69E+17 5,52E-04 9,34E+17 5,53E-04 8,61E+17 5,54E-04 8,03E+17 5,54E-04 7,44E+17 5,55E-04 7,37E+17 5,55E-04 6,93E+17 5,56E-04 5,91E+17 5,57E-04 5,04E+17 5,57E-04 5,69E+17 5,58E-04 6,13E+17 5,58E-04 6,28E+17 5,59E-04 6,35E+17 5,59E-04 6,20E+17 5,60E-04 6,71E+17 5,61E-04 6,86E+17 5,61E-04 7,08E+17 5,62E-04 7,01E+17 5,62E-04 6,50E+17 5,63E-04 6,50E+17 5,64E-04 6,64E+17 5,64E-04 6,64E+17 5,65E-04 6,35E+17 5,65E-04 6,13E+17 5,66E-04 5,76E+17 5,67E-04 6,49E+17 5,67E-04 7,01E+17 5,68E-04 6,79E+17 5,68E-04 7,15E+17 5,69E-04 7,66E+17 5,70E-04 8,10E+17 5,70E-04 8,32E+17 5,71E-04 8,54E+17 5,71E-04 8,47E+17 5,72E-04 8,47E+17 5,72E-04 8,54E+17 5,73E-04 8,03E+17 5,74E-04 7,52E+17 5,74E-04 7,66E+17 5,75E-04 7,81E+17 5,75E-04 7,74E+17 5,76E-04 8,32E+17 5,77E-04 8,83E+17 5,77E-04 9,05E+17 5,78E-04 9,42E+17 5,78E-04 9,05E+17 5,79E-04 8,76E+17 5,80E-04 7,96E+17 5,80E-04 7,88E+17 5,81E-04 7,23E+17 5,81E-04 7,23E+17 5,82E-04 7,08E+17 5,83E-04 7,23E+17 5,83E-04 7,15E+17 5,84E-04 7,81E+17 5,84E-04 7,59E+17 5,85E-04 7,59E+17 5,85E-04 7,37E+17 5,86E-04 6,64E+17 5,87E-04 6,79E+17 5,87E-04 6,42E+17 5,88E-04 6,13E+17 5,88E-04 6,06E+17 5,89E-04 5,69E+17 5,90E-04 5,84E+17 5,90E-04 6,49E+17 5,91E-04 6,35E+17 5,91E-04 6,71E+17 5,92E-04 7,08E+17 5,93E-04 7,66E+17 5,93E-04 8,10E+17 5,94E-04 7,81E+17 5,94E-04 7,88E+17 5,95E-04 7,59E+17 5,95E-04 7,15E+17 5,96E-04 6,79E+17 5,97E-04 6,28E+17 5,97E-04 5,40E+17 5,98E-04 5,55E+17 5,98E-04 5,11E+17 5,99E-04 5,91E+17 6,00E-04 6,06E+17 6,00E-04 6,57E+17 6,01E-04 6,20E+17 6,01E-04 6,50E+17 6,02E-04 6,28E+17 6,03E-04 6,50E+17 6,03E-04 5,98E+17 6,04E-04 5,91E+17 6,04E-04 5,84E+17 6,05E-04 5,91E+17 6,06E-04 5,98E+17 6,06E-04 5,91E+17 6,07E-04 5,55E+17 6,07E-04 5,11E+17 6,08E-04 4,74E+17 6,08E-04 4,38E+17 6,09E-04 4,23E+17 6,10E-04 4,60E+17 6,10E-04 4,89E+17 6,11E-04 4,82E+17 6,11E-04 5,11E+17 6,12E-04 5,18E+17 6,13E-04 5,03E+17 6,13E-04 5,33E+17 6,14E-04 5,40E+17 6,14E-04 5,33E+17 6,15E-04 5,76E+17 6,16E-04 5,69E+17 6,16E-04 5,76E+17 6,17E-04 5,47E+17 6,17E-04 5,33E+17 6,18E-04 5,25E+17 6,19E-04 5,62E+17 6,19E-04 5,47E+17 6,20E-04 5,40E+17 6,20E-04 5,11E+17 6,21E-04 5,47E+17 6,21E-04 5,47E+17 6,22E-04 5,69E+17 6,23E-04 5,11E+17 6,23E-04 5,18E+17 6,24E-04 5,11E+17 6,24E-04 5,25E+17 6,25E-04 5,25E+17 6,26E-04 5,33E+17 6,26E-04 4,52E+17 6,27E-04 4,96E+17 6,27E-04 4,67E+17 6,28E-04 5,03E+17 6,29E-04 5,18E+17 6,29E-04 5,40E+17 6,30E-04 5,47E+17 6,30E-04 5,69E+17 6,31E-04 5,03E+17 6,31E-04 5,40E+17 6,32E-04 5,55E+17 6,33E-04 5,40E+17 6,33E-04 4,96E+17 6,34E-04 4,67E+17 6,34E-04 4,74E+17 6,35E-04 5,03E+17 6,36E-04 4,31E+17 6,36E-04 3,79E+17 6,37E-04 3,72E+17 6,37E-04 4,16E+17 6,38E-04 4,45E+17 6,39E-04 4,89E+17 6,39E-04 4,96E+17 6,40E-04 5,76E+17 6,40E-04 6,13E+17 6,41E-04 6,35E+17 6,42E-04 6,28E+17 6,42E-04 6,35E+17 6,43E-04 5,91E+17 6,43E-04 5,91E+17 6,44E-04 5,55E+17 6,44E-04 5,18E+17 6,45E-04 5,33E+17 6,46E-04 4,96E+17 6,46E-04 4,96E+17 6,47E-04 4,96E+17 6,47E-04 5,55E+17 6,48E-04 5,33E+17 6,49E-04 5,47E+17 6,49E-04 5,47E+17 6,50E-04 5,76E+17 6,50E-04 5,55E+17 6,51E-04 6,28E+17 6,52E-04 5,84E+17 6,52E-04 5,84E+17 6,53E-04 5,84E+17 6,53E-04 5,77E+17 6,54E-04 5,33E+17 6,55E-04 5,18E+17 6,55E-04 4,16E+17 6,56E-04 4,01E+17 6,56E-04 4,45E+17 6,57E-04 4,45E+17 6,57E-04 4,31E+17 6,58E-04 4,38E+17 6,59E-04 4,60E+17 6,59E-04 4,67E+17 6,60E-04 4,38E+17 6,60E-04 4,09E+17 6,61E-04 4,23E+17 6,62E-04 3,94E+17 6,62E-04 3,94E+17 6,63E-04 3,94E+17 6,63E-04 3,87E+17 6,64E-04 4,16E+17 6,65E-04 3,94E+17 6,65E-04 3,79E+17 6,66E-04 3,94E+17 6,66E-04 4,31E+17 6,67E-04 3,87E+17 6,67E-04 3,94E+17 6,68E-04 3,94E+17 6,69E-04 4,60E+17 6,69E-04 4,38E+17 6,70E-04 4,38E+17 6,70E-04 4,01E+17 6,71E-04 4,31E+17 6,72E-04 4,16E+17 6,72E-04 3,87E+17 6,73E-04 3,36E+17 6,73E-04 3,21E+17 6,74E-04 3,21E+17 6,75E-04 3,58E+17 6,75E-04 3,50E+17 6,76E-04 3,72E+17 6,76E-04 4,16E+17 6,77E-04 4,09E+17 6,78E-04 4,38E+17 6,78E-04 4,96E+17 6,79E-04 4,60E+17 6,79E-04 4,67E+17 6,80E-04 4,82E+17 6,80E-04 4,52E+17 6,81E-04 4,82E+17 6,82E-04 4,82E+17 6,82E-04 4,16E+17 6,83E-04 4,23E+17 6,83E-04 4,31E+17 6,84E-04 3,87E+17 6,85E-04 3,58E+17 6,85E-04 3,50E+17 6,86E-04 3,65E+17 6,86E-04 3,58E+17 6,87E-04 3,65E+17 6,88E-04 3,65E+17 6,88E-04 4,23E+17 6,89E-04 4,45E+17 6,89E-04 4,45E+17 6,90E-04 4,01E+17 6,91E-04 4,09E+17 6,91E-04 4,16E+17 6,92E-04 4,09E+17 6,92E-04 4,60E+17 6,93E-04 4,60E+17 6,93E-04 4,67E+17 6,94E-04 4,96E+17 6,95E-04 5,25E+17 6,95E-04 5,33E+17 6,96E-04 5,40E+17 6,96E-04 5,11E+17 6,97E-04 5,33E+17 6,98E-04 5,62E+17 6,98E-04 5,91E+17 6,99E-04 5,91E+17 6,99E-04 5,76E+17 7,00E-04 5,84E+17 7,01E-04 5,69E+17 7,01E-04 5,47E+17 7,02E-04 5,18E+17 7,02E-04 5,03E+17 7,03E-04 4,89E+17 7,03E-04 4,82E+17 7,04E-04 4,38E+17 7,05E-04 4,16E+17 7,05E-04 4,60E+17 7,06E-04 4,52E+17 7,06E-04 4,01E+17 7,07E-04 3,94E+17 7,08E-04 3,65E+17 7,08E-04 3,79E+17 7,09E-04 3,79E+17 7,09E-04 3,87E+17 7,10E-04 4,01E+17 7,11E-04 4,16E+17 7,11E-04 3,94E+17 7,12E-04 4,23E+17 7,12E-04 3,94E+17 7,13E-04 4,01E+17 7,14E-04 3,79E+17 7,14E-04 3,79E+17 7,15E-04 3,72E+17 7,15E-04 3,94E+17 7,16E-04 3,72E+17 7,16E-04 4,67E+17 7,17E-04 4,09E+17 7,18E-04 4,01E+17 7,18E-04 3,58E+17 7,19E-04 3,79E+17 7,19E-04 3,50E+17 7,20E-04 3,87E+17 7,21E-04 3,50E+17 7,21E-04 3,87E+17 7,22E-04 3,43E+17 7,22E-04 3,50E+17 7,23E-04 3,28E+17 7,24E-04 3,58E+17 7,24E-04 3,14E+17 7,25E-04 2,92E+17 7,25E-04 2,92E+17 7,26E-04 3,50E+17 7,27E-04 3,79E+17 7,27E-04 4,45E+17 7,28E-04 4,52E+17 7,28E-04 4,60E+17 7,29E-04 4,52E+17 7,29E-04 4,45E+17 7,30E-04 3,94E+17 7,31E-04 3,94E+17 7,31E-04 3,28E+17 7,32E-04 3,14E+17 7,32E-04 3,06E+17 7,33E-04 3,14E+17 7,34E-04 3,28E+17 7,34E-04 3,28E+17 7,35E-04 3,14E+17 7,35E-04 3,21E+17 7,36E-04 3,43E+17 7,37E-04 3,87E+17 7,37E-04 3,65E+17 7,38E-04 3,28E+17 7,38E-04 3,28E+17 7,39E-04 3,50E+17 7,39E-04 3,72E+17 7,40E-04 3,43E+17 7,41E-04 2,85E+17 7,41E-04 2,92E+17 7,42E-04 3,21E+17 7,42E-04 3,36E+17 7,43E-04 3,21E+17 7,44E-04 2,77E+17 7,44E-04 3,06E+17 7,45E-04 3,14E+17 7,45E-04 3,58E+17 7,46E-04 3,65E+17 7,47E-04 3,72E+17 7,47E-04 3,58E+17 7,48E-04 3,79E+17 7,48E-04 3,87E+17 7,49E-04 4,16E+17 7,50E-04 3,72E+17 7,50E-04 3,28E+17 7,51E-04 2,99E+17 7,51E-04 3,14E+17 7,52E-04 2,92E+17 7,52E-04 2,63E+17 7,53E-04 2,77E+17 7,54E-04 2,77E+17 7,54E-04 3,14E+17 7,55E-04 3,36E+17 7,55E-04 3,14E+17 7,56E-04 3,43E+17 7,57E-04 3,43E+17 7,57E-04 3,36E+17 7,58E-04 3,72E+17 7,58E-04 3,87E+17 7,59E-04 3,65E+17 7,60E-04 3,50E+17 7,60E-04 3,58E+17 7,61E-04 3,36E+17 7,61E-04 2,92E+17 7,62E-04 2,85E+17 7,63E-04 2,55E+17 7,63E-04 2,85E+17 7,64E-04 3,06E+17 7,64E-04 2,92E+17 7,65E-04 3,72E+17 7,65E-04 4,16E+17 7,66E-04 3,94E+17 7,67E-04 4,01E+17 7,67E-04 3,87E+17 7,68E-04 3,87E+17 7,68E-04 3,94E+17 7,69E-04 3,36E+17 7,70E-04 3,36E+17 7,70E-04 3,43E+17 7,71E-04 3,50E+17 7,71E-04 3,50E+17 7,72E-04 3,36E+17 7,73E-04 3,79E+17 7,73E-04 4,23E+17 7,74E-04 4,16E+17 7,74E-04 4,23E+17 7,75E-04 4,09E+17 7,75E-04 4,09E+17 7,76E-04 4,16E+17 7,77E-04 3,58E+17 7,77E-04 2,99E+17 7,78E-04 2,63E+17 7,78E-04 2,55E+17 7,79E-04 2,55E+17 7,80E-04 2,70E+17 7,80E-04 2,55E+17 7,81E-04 2,92E+17 7,81E-04 3,06E+17 7,82E-04 3,58E+17 7,83E-04 3,43E+17 7,83E-04 3,36E+17 7,84E-04 3,21E+17 7,84E-04 3,72E+17 7,85E-04 3,43E+17 7,86E-04 3,50E+17 7,86E-04 3,65E+17 7,87E-04 4,01E+17 7,87E-04 4,45E+17 7,88E-04 4,45E+17 7,88E-04 4,16E+17 7,89E-04 4,60E+17 7,90E-04 4,52E+17 7,90E-04 4,23E+17 7,91E-04 3,72E+17 7,91E-04 3,28E+17 7,92E-04 3,36E+17 7,93E-04 3,21E+17 7,93E-04 2,85E+17 7,94E-04 2,85E+17 7,94E-04 3,28E+17 7,95E-04 3,58E+17 7,96E-04 4,01E+17 7,96E-04 3,94E+17 7,97E-04 4,16E+17 7,97E-04 4,01E+17 7,98E-04 4,38E+17 7,99E-04 4,01E+17 7,99E-04 3,87E+17 8,00E-04 3,43E+17 8,00E-04 3,79E+17 8,01E-04 4,09E+17 8,01E-04 4,52E+17 8,02E-04 4,31E+17 8,03E-04 4,16E+17 8,03E-04 4,23E+17 8,04E-04 4,16E+17 8,04E-04 4,01E+17 8,05E-04 3,94E+17 8,06E-04 3,72E+17 8,06E-04 3,43E+17 8,07E-04 3,50E+17 8,07E-04 3,65E+17 8,08E-04 3,65E+17 8,09E-04 3,36E+17 8,09E-04 2,85E+17 8,10E-04 2,92E+17 8,10E-04 3,87E+17 8,11E-04 3,58E+17 8,11E-04 3,43E+17 8,12E-04 3,43E+17 8,13E-04 3,58E+17 8,13E-04 3,79E+17 8,14E-04 3,58E+17 8,14E-04 2,70E+17 8,15E-04 2,92E+17 8,16E-04 2,77E+17 8,16E-04 2,99E+17 8,17E-04 2,55E+17 8,17E-04 2,26E+17 8,18E-04 1,90E+17 8,19E-04 1,97E+17 8,19E-04 1,75E+17 8,20E-04 1,90E+17 8,20E-04 1,90E+17 8,21E-04 2,33E+17 8,22E-04 2,70E+17 8,22E-04 3,06E+17 8,23E-04 3,21E+17 8,23E-04 3,21E+17 8,24E-04 3,58E+17 8,24E-04 3,72E+17 8,25E-04 3,58E+17 8,26E-04 3,58E+17 8,26E-04 3,65E+17 8,27E-04 3,43E+17 8,27E-04 3,79E+17 8,28E-04 3,58E+17 8,29E-04 3,28E+17 8,29E-04 3,36E+17 8,30E-04 3,36E+17 8,30E-04 3,06E+17 8,31E-04 2,92E+17 8,32E-04 2,92E+17 8,32E-04 2,70E+17 8,33E-04 2,77E+17 8,33E-04 2,41E+17 8,34E-04 1,97E+17 8,35E-04 2,48E+17 8,35E-04 2,63E+17 8,36E-04 2,63E+17 8,36E-04 2,70E+17 8,37E-04 2,92E+17 8,37E-04 3,43E+17 8,38E-04 3,50E+17 8,39E-04 3,43E+17 8,39E-04 3,50E+17 8,40E-04 3,43E+17 8,40E-04 3,36E+17 8,41E-04 3,28E+17 8,42E-04 2,92E+17 8,42E-04 3,28E+17 8,43E-04 3,14E+17 8,43E-04 3,21E+17 8,44E-04 3,58E+17 8,45E-04 3,79E+17 8,45E-04 3,36E+17 8,46E-04 3,58E+17 8,46E-04 3,50E+17 8,47E-04 3,58E+17 8,47E-04 3,36E+17 8,48E-04 2,92E+17 8,49E-04 2,55E+17 8,49E-04 2,70E+17 8,50E-04 2,85E+17 8,50E-04 2,48E+17 8,51E-04 2,41E+17 8,52E-04 2,77E+17 8,52E-04 2,99E+17 8,53E-04 3,36E+17 8,53E-04 3,50E+17 8,54E-04 3,43E+17 8,55E-04 3,36E+17 8,55E-04 2,99E+17 8,56E-04 2,63E+17 8,56E-04 2,26E+17 8,57E-04 2,26E+17 8,58E-04 2,04E+17 8,58E-04 1,68E+17 8,59E-04 2,04E+17 8,59E-04 2,04E+17 8,60E-04 2,26E+17 8,60E-04 2,26E+17 8,61E-04 1,75E+17 8,62E-04 2,04E+17 8,62E-04 2,77E+17 8,63E-04 2,99E+17 8,63E-04 3,36E+17 8,64E-04 3,06E+17 8,65E-04 3,14E+17 8,65E-04 3,36E+17 8,66E-04 3,28E+17 8,66E-04 3,14E+17 8,67E-04 3,28E+17 8,68E-04 3,21E+17 8,68E-04 3,50E+17 8,69E-04 3,50E+17 8,69E-04 3,58E+17 8,70E-04 3,65E+17 8,71E-04 3,06E+17 8,71E-04 2,70E+17 8,72E-04 2,55E+17 8,72E-04 2,41E+17 8,73E-04 2,41E+17 8,73E-04 2,41E+17 8,74E-04 2,33E+17 8,75E-04 2,77E+17 8,75E-04 2,70E+17 8,76E-04 2,77E+17 8,76E-04 2,70E+17 8,77E-04 2,63E+17 8,78E-04 2,48E+17 8,78E-04 2,55E+17 8,79E-04 2,04E+17 8,79E-04 1,97E+17 8,80E-04 1,75E+17 8,81E-04 2,33E+17 8,81E-04 2,55E+17 8,82E-04 3,06E+17 8,82E-04 2,85E+17 8,83E-04 3,28E+17 8,83E-04 3,28E+17 8,84E-04 3,65E+17 8,85E-04 3,50E+17 8,85E-04 3,72E+17 8,86E-04 3,78E+17 8,86E-04 4,43E+17 8,87E-04 5,11E+17 .................... Fitting formula: C-3,21694e18)*erfc(x/sqrt(4*D*225900))+3,21694e18
C and D need to be calculated. The formal is from a 1d-diffusion of an unlimited source with C as surface concentration, 225900 is the time in s and 3,21 is the bulk concentration. Does this help?
Geoff Hayes
on 23 Nov 2015
Stefan - please attach your data as a file rather than copying and pasting it into a comment. Also, describe how you use this data within your code as it may not be clear to everyone what each value represents.
Stefan Schwab
on 23 Nov 2015
Ok. I'd like to fit the data (x,Y) to the formula described above. I want that matlab calculates the C and D value (fitting).
See Also
Categories
Find more on Fit Postprocessing in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!An Error Occurred
Unable to complete the action because of changes made to the page. Reload the page to see its updated state.
Select a Web Site
Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .
You can also select a web site from the following list
How to Get Best Site Performance
Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.
Americas
- América Latina (Español)
- Canada (English)
- United States (English)
Europe
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)
Asia Pacific
- Australia (English)
- India (English)
- New Zealand (English)
- 中国
- 日本Japanese (日本語)
- 한국Korean (한국어)