Abstract

We consider an ordinary spectrometer equipped with a dispersing field analyser (e.g. cylindrical mirror analyser (CMA)), an electron multiplier, and analogue differentiation facilities. Transformation of the true energy distribution of secondary electrons to the spectrometer output voltage is described mathematically using a spectrometer operator. Conditions are established that allow the mathematical expression of the operator to be reduced to a graduation function G( E′) of pass energy E′. The G( E′) function is defined as the product of a probability function definite integral and a multiplier gain coefficient. The operator and/or the graduation function take account of influences of any extraneous fields on the spectrometer output voltage.

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