I have lifetime decays for my sample for the whole range of its emissive wavelength. How could I produce emission spectra which would show the change in peak position with time?
You can use a monochromator to first disperse the emission, then use a fast FPA to monitor the emission as a function of time. In the visible, I've used an intensified CCD camera (ICCD) to capture fast (nsec) changes in emission, and used a masked readout on the CCD to get line-by-line capture of the whole spectrum at these fast rates.
As I understood the question you have your data already, aren't you? If yes, you may load all data into one worksheet within e.g. Origin software (or similar, if you have it in your hands - I am not sure if it is possible with MS Excell - I guess not) and create a 'data matrix'. Than, while having a matrix you may create a '3D plot' or 'contour plot' having X/Y/Z as time/wavelength/intensity. You may also extract each Y/Z from the prepared data worksheet.
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