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Line spectra have zero width by definition. However, for measured data this is impossible because that would require infinite time to make the measurement. Electronic spectrum analyzers do the frequency measurements over a given period of time, and the minimal width of the spectral line is inversely proportional to the measurement time period. This is the case if the source of the energy is truly frequency (or wavelength) invariant.

In physics, the measurement device may be optical, in which case the minimal width of the line spectra is dependent on the characteristics of that device. If the radiation from the sun is viewed using a prism, you will not be able to see any fixed spectral lines, since the energy source is heat radiation which is broad spectrum. Therefore, when the line spectra are very narrow, then the frequency/wavelength variation of the radiation source is very stable. The measurement device can also limit the width of the line spectra measurements. You would like to have it be able to show very thin widths so that the measurement device does not affect the accuracy of the measurement.

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