Could the electron's orbital g-factor be anomalous?

A proposal is made to determine, by measurement, a possible anomaly in the electron's orbital g-factor. It is generally assumed that the electron's orbital g-factor is exactly 1, but it could be anomalous. Compared with the electron spin g-factor, the orbital g-factor has received very little experimental attention. A few possible experiments, in which an anomaly may be observed, are described. (paper)