“…A trapping mercury ion microwave clock that has a long coherence time [1] and a relatively low second-order Doppler shift, [2,3] as well as being insensitive to environmental perturbations [4,5] and suitable for miniaturization, [6] is regarded as one of the main candidates as a space clock and for timekeeping standards. [7,8] The short-term stability of the helium buffer-gas-cooled linear trap mercury ion microwave frequency standard is extraordinary and has not yet been significantly surpassed by any passive frequency standard. [9] Short-term frequency stability as an important indicator used to characterize the performance of frequency standards, is usually defined by using the Allen variance, π π¦ (π
), where π
is the sampling time.…”