impedance matching with component S2P

Hi

If I series a 3pF capacitor, the impedance can be calculated and ploted on Smith chart as:

z=(1+S11)/(1-S11)
capacitor=3pF
zc=1/j*(2 x pi x f x 3pF)/50
z2=z+zc
gamma2=(z2-1)/(z2+1)

Now If I have a 3pF capacitor's S parameter (e.g., download from Murata ).
How do I apply the capacitor's S-parameter to the above calculation?

Thanks for the advice.

If the circuits are connected in cascade, s-parametrs are not added directly.Instead, they should be converted onto ABCD parameters and then the new s-parameter set is found...
Or, if you have a simulator, you can add a black box that will represent the s-parameter of your component and then by doing a simple s-parameter simulation, you will have the new s-parameter with this component..
If you have matlab,you can do the same thing in RF toolbox..

Use formulation based on Scattering Transfer Parameters(T-Parameters).
http://en.wikipedia.org/wiki/Scattering_parameters

In real life a cap is not just a cap ! It is a Cap/Res/inductor !
and as the frequency goes higher caps start to look like Inductors ....

So S2P files gives you the characteristics of that 2-port element. In the
S2P file those numbers are the value of the "CAP" at each freq in the file.

As for putting those caps in series on a Smith chart, just start a the first cap
value (at one frequency of interest) then on the "REAL" impedance circle
rotate by the second Caps Value ....
(Pozar has a good guide for this in Mircowave Engr book, but you can use google)

Cheers