It was the intent of this work to use states of nuclear excitation in order to demonstrate coherent multiphoton processes that were the analogs of well‐known effects occurring at optical frequencies. Success in exciting radiofrequency sum and difference frequency sidebands on hyperfine components of the Mössbauer transition of 57Fe near 0.086 nm is described. The transition energy of those sidebands was shown to be tunable over five line‐widths by varying the radiofrequency component of the sum. A model is proposed that quantitatively explains these results in terms of coherently excited nuclear states and evidentally confirms the multiphoton nature of the process.