We investigate the electron and nuclear spin coherence properties of ytterbium (Yb 3+ ) ions with non-zero nuclear spin, within an yttrium orthosilicate (Y2SiO5) crystal, with a view to their potential application in quantum memories or repeaters. We find electron spin-lattice relaxation times are maximised at low magnetic field (< 100 mT) where g ∼ 6, reaching 5 s at 2.5 K, while coherence times are maximised when addressing ESR transitions at higher fields where g ∼ 0.7 where a Hahn echo measurement yields T2 up to 73 µs. Dynamical decoupling (XY16) can be used to suppress spectral diffusion and extend the coherence lifetime to over 0.5 ms, close to the limit of instantaneous diffusion. Using Davies electron-nuclear-double-resonance (ENDOR), we performed coherent control of the 173 Yb 3+ nuclear spin and studied its relaxation dynamics. At around 4.5 K we measure a nuclear spin T1 and T2 of 4 and 0.35 ms, respectively, about 4 and 14 times longer than the corresponding times for the electron spin. arXiv:1712.00435v1 [quant-ph] 1 Dec 2017