plot calculated IR-spectrum

Hi everybody,

I would like to plot an IR-spectrum. The problem is, 
that I have only the datapoints of the intensity and 
wavenumber at the maximum, e.g.

# spectrum.dat
# v	I	
0.00    0.00
108.97  0.00
169.61  6.21
325.48  0.00
486.67  183.07

so I would need to fit a Lorentzian function to each 
datapoint-pair

f(x) = alpha*I_(1strow)/(pi*alpha*(x-v_(1strow))**2+1)
g(x) = alpha*I_(2ndrow)/(pi*alpha*(x-v_(2ndrow))**2+1)
..
..
..
z(x) = alpha*I_(last-row)/(pi*alpha*(x-v_(last-row))**2+1)

and then sum all functions to obtain the spectrum. Is 
this possible with gnuplot? How?

Thanks

Philipp Eiden