PI = G1 E + O1 (E<E1=4.78 keV) PI = G2 E + O2 (4.78<E<E2=5.10 keV) PI = G3 E + O3 (5.10<E<E3=5.44 keV) PI = G4 E + O4 (E>5.44 keV)
where the jumps occur in correspondence of the structure of the Xe L-edge.
Fig. 4.10-I : MECS gain relation (click on picture to enlarge)
The relevant coefficients (in order, the Ei, Gi and Oi) are kept in files m{1,2,3}_gain.coeff
Note that one has to add 1 to the above PI numbers if one wishes to number channels from 1 to 256 (this is done in the matrix routines and in the figure above), while one uses the original coefficients to match the telemetry numbering (0-255), like in the gain correction routines
Each MECS unit has its own energy-channel relation; however, for uniformity
purposes and to improve signal to noise at some expense of energy resolution,
someone uses to equalize them to the M1 unit relation.