  We report a metrology scheme which measures magnetic susceptibility of an
atomic spin ensemble along the $x$ and $z$ direction and produces parameter
estimation with precision beating the standard quantum limit. The atomic
ensemble is initialized via one-axis spin squeezing with optimized squeezing
time and parameter $\phi$ to be estimated is assumed as uniformly distributed
between 0 and $2\pi$. One estimation of $\phi$ can be produced with every two
magnetic susceptibility data measured along the two axis respectively, which
has imprecision scaling $(1.43\pm{}0.02)/N^{0.687\pm0.003}$ with respect to the
number N of atomic spins. The measurement scheme is easy to implement and thus
one step towards practical application of quantum metrology.
