Plotting 1/x on x-axis

Questions
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1

hello, i want to plot resistivity vs 1/T on the x-axis.
how do I achieve this in Mathematica 10?

ScreenShot2015-03-09at5.34.13pm.png
ScreenShot2015-03-09at5.34.13pm.png503Ă—468 28.4 KB

2

I’m not sure what you are after. Is this helpful?

Plot[Sin[1/x], {x, .1, 10},
   Axes -> False,
   Frame -> True, 
   FrameTicks -> {{Automatic, Automatic}, {Automatic,  Transpose[{#, 1/#}] &@DeleteCases[FindDivisions[{.1, 10}, 5], 0]}},
   FrameLabel -> {{"f", ""}, {"1/t", "t"}},
   BaseStyle -> 18]

8962daily.png
8962daily.png360Ă—279 3.36 KB

3

actually,
if you compare your figure with the graph I uploaded you see the difference…
I would like to plot on the x-axis 1/T going from low value on the left (high T) to high value on the right (low T).
yes, it would be nice to match on the upper x-axis the T corresponding to the 1/T value on the lower x-axis.
this might not be possible in mathematica, I think the x-axis always should go from low to high values towards the right.
if anybody knows,
please assist.
laurens

Plot[Sin[1/T], {T, 1, 100}, Axes → False, Frame → True,
FrameTicks → {{Automatic, Automatic}, {Automatic,
Transpose[{#, 1/#}] &@
DeleteCases[FindDivisions[{1, 100}, 10], 0]}},
FrameLabel → {{“rho_xx (Ohm-cm)”, “”}, {“T (K)”, “1/T (1/K)”}},
BaseStyle → 18]

ScreenShot2015-03-10at1.18.14pm.png
ScreenShot2015-03-10at1.18.14pm.png429Ă—290 12.5 KB

4

Not sure what do you mean, 1/T is gowing from left to right. Both, in your question images and in my answer.

5

actually you are right. the 1/T axis data points do increase from left to right.

ultimately, I want to fit the (natural logarithm of the) data rho_xx on the y-axis as a function of 1/T, not as a function of T.
The upper x-axis is great, but can it also be used for fitting data?

I also have defined some functions that I want to plot as a function of 1/T, not T. I guess you can only achieve this by taking the function and replacing T with its reciprocal 1/T (variable substitution).

laurens

6

http://mathematica.stackexchange.com/questions/54437/using-show-to-place-a-parametricplot-on-a-loglog-scale