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We measured the ground-state hyperfine splitting of trapped${}^{113}$Cd${}^{+}$ ions to be 15199862855.02799(27) Hz with a fractionaluncertainty of $1.8\times10^{-14}$. The ions were trapped and laser-cooled in alinear quadrupole Paul trap. The fractional frequency stability was measured tobe ${4.2} \times 10^{-13}/\sqrt{\tau} $, obtained from Ramsey fringes of highsignal-to-noise ratio and taken over a measurement time of nearly 5 hours,which is close to the short-term stability limit estimated from the Dickeffect. Our result is consistent with previous reported values, but themeasurement precision is four times better than the best result obtained todate.

Precision determination of the ground-state hyperfine splitting of trapped ${}^{113}$Cd${}^{+}$ ions