Title: NMR of a single nuclear spin detected by a scanning tunneling microscope

Abstract: We demonstrate ionization of a molecule with the bias voltage of a Scanning Tunnelling Microscope (STM) resulting in a coexistence of a neutral and ionic molecules, i.e. radical (paramagnetic) and non-radical (diamagnetic) states. This coexistence may be facilitated by a periodic switching between two bias voltages. The precession of the nucleus in the diamagnetic state modulates the nuclear polarization as well as the hyperfine transitions as seen in electron spin resonance (ESR). We analyze the power spectrum of a selected hyperfine intensity and obtain the nuclear magnetic resonance (NMR) spectrum. We have observed this phenomenon in three types of molecules: TEMPO, toluene and triphenylphosphine, showing NMR of $^{14}$N, $^{13}$C, $^{31}$P and $^1$H nuclei. The spectra are detailed and show signatures of the chemical environment, i.e. chemical shifts. A master equation including off-diagonal hyperfine interactions accounts for these observations.