Precise measurement of ¹⁷¹Yb magnetic constants for ¹ S ₀– ³ P ₀ clock transition

We present a precise measurement of ¹⁷¹Yb magnetic constants for ¹ S ₀– ³ P ₀ clock transition. The background magnetic field is firstly compensated to < 1 mGs (1 Gs = 10 ⁻⁴ T) through measuring the splitting of two π transitins of ¹⁷¹Yb clock transition at different compensation coils currents. Then, the splitting ratios of the π and σ components of ¹⁷¹Yb clock transition at different bias magnetic fields are measured, and the first-order Zeeman coefficient is determined to be α = 199.49(5) Hz/Gs. The second-order Zeeman shifts at various bias magnetic fields are also measured through interleaved self-comparison in which the bias magnetic fields are modulated between high and low values. The second-order Zeeman coefficient is fitted to be β = –6.09(3) Hz/mT ², which is consistent with the result of NIST group.