Spin systems consisting of a single electronic spin of the NV center in diamond and few proximal 13C nuclei spins which are considered now as a candidate for a room-temperature implementation of a quantum computer register with optical access are studied by spin-Hamiltonian method using parameters of hyperfine NV-13C interactions taken from EPR measurements on NV ensemble and from ab initio (DFT) simulation of carbon clusters containing NV centers. Experimental data on ODMR spectra and spin echo modulation obtained on single NV+n13C centers are interpreted without fitting parameters.
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