How to plot, when one parameter is inversely proportional to fifth power of other?

Hi everybody, I am trying to plot a scatter plot such that parameter on y-axis (F) has inversely relation to the fifth power of parameter on x-axis (K). Problem is that when I plot the scatter plot then the “x-tick” and “x-ticklabel” does not coincide. What should I do to overcome this problem. The code and data is given below

x=[0.188,0.586,0.982,2.09,2.24,9.38,20.9,39.27,54];

f1=4.16*1.e-10*(0.188)^-5;
f2=4.16*1.e-10*(0.586)^-5;
f3=4.16*1.e-10*(0.982)^-5;
f4=4.16*1.e-10*(2.09)^-5;
f5=4.16*1.e-10*(2.24)^-5;
f6=4.16*1.e-10*(9.38)^-5;
f7=4.16*1.e-10*(20.9)^-5;
f8=4.16*1.e-10*(39.27)^-5;
f9=1*4.16*1.e-10*(54)^-5;
F=[f1,f2,f3,f4,f5,f6,f7,f8,f9];

   scatter(x,log10(F),'b','*') 

   set(gca,'xtick',[1  2  3   4  5  6  7  8  9]);
set(gca,'xticklabel',{'0.188','0.586','0.982','2.09','2.24','9.38','20.9','39.27','54'});

 ylabel('\fontsize{8}\fontname{Arial}  log10(F) ')
    xlabel('\fontsize{8}\fontname{Arial}  K ')
    set(gca,'FontSize',8);

Answer 1

[Pawel Jastrzebski]

This line needs to be changed:

set(gca,'xtick',[1  2  3   4  5  6  7  8  9]);

See if the changed code below works for you:

x=[0.188,0.586,0.982,2.09,2.24,9.38,20.9,39.27,54];
xLabelText = num2cell(x);

f1=4.16*1.e-10*(0.188)^-5;
f2=4.16*1.e-10*(0.586)^-5;
f3=4.16*1.e-10*(0.982)^-5;
f4=4.16*1.e-10*(2.09)^-5;
f5=4.16*1.e-10*(2.24)^-5;
f6=4.16*1.e-10*(9.38)^-5;
f7=4.16*1.e-10*(20.9)^-5;
f8=4.16*1.e-10*(39.27)^-5;
f9=1*4.16*1.e-10*(54)^-5;
F=[f1,f2,f3,f4,f5,f6,f7,f8,f9];

     scatter(x,log10(F),'b','*') 
     set(gca,...
         'xtick',x,...
         'xticklabel',xLabelText,...
         'FontSize',8);

      ylabel('\fontsize{8}\fontname{Arial}  log10(F) ')
      xlabel('\fontsize{8}\fontname{Arial}  K ')
      grid on

[Safi ullah]

@ Pawel Jastrzebski, it works thanks

[Pawel Jastrzebski]

Also, your F vector can be specified as:

x=[0.188,0.586,0.982,2.09,2.24,9.38,20.9,39.27,54];
F = 4.16*1.e-10*x.^-5;