A method for characterizing material composition of a target comprising:
- resonantly exciting nuclei of the target with a continuous spectrum of photons,
- resonantly exciting nuclei of one or more reference scatterers with the photons transmitted through the target, each said reference scatterer comprising one or more nuclear species of interest,
- measuring the intensity of photons at energies of interest scattered from each said reference scatterer in a direction or directions, said energies of interest for each reference scatterer corresponding to the spacings between the quantized energy states of the nuclear species of interest of which the reference scatterer is comprised,
- estimating the abundance of each nuclear species of interest in the target from the measured intensity of photons scattered from the reference scatterer or scatterers comprising the nuclear species,
- measuring the intensity of photons at energies of interest produced in and emitted from the target in a direction or directions, said energies of interest corresponding to pair production with subsequent positive electron annihilation in the target, and
- estimating the spatial distribution of the quantity DZ.sup.2 /A, where D is density, Z is nuclear charge, and A is number of nucleons, in the target from the measured intensity of photons produced by pair production emitted from the target.