Continuous-wave electromagnetic fields in the radio-frequency domain can be made sufficiently strong that an electron in the field can possess a ponderomotive potential Up of the order of mc2. An electron with a Up this large has special properties that affect its behavior in important ways, including the fact that such an electron does not have a well-defined spin value. This can alter nuclear processes in practical applications like radioactive waste disposal, provided that an environment can be arranged such that the electron will possess Up = O(mc2) on a time scale and in a macroscopic spatial volume sufficient to manifest the intense-field characteristics. A configuration satisfying the requisite properties is proposed, along with a discussion of possible nuclear processes that would observably display the explicit strong-field properties of the electron. It appears to be probable that an experiment done nearly a quarter-century ago did display such an effect.