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We report measurements of the branching fraction, hyperfine constant, andsecond-order Zeeman coefficient of the D$_{5/2}$ level in $^{171}$Yb$^+$ withup to two orders-of-magnitude improvement in precision compared to previouslyreported values. We estimate the electric quadrupole reduced matrix element ofthe S$_{1/2}$ $\leftrightarrow$ D$_{5/2}$ transition to be 12.5(4) $e a_0^2$.Furthermore, we determine the transition frequency of the F$_{7/2}$$\leftrightarrow$ $^{1}$D$[3/2]_{3/2}$ at 760 nm with a $\sim$25-foldimprovement in precision. These measurements provide benchmarks forquantum-many-body atomic-physics calculations and provide valuable data forefforts to improve quantum information processors based on Yb$^+$.

Precision Characterization of the $^2$D$_{5/2}$ State and Quadratic Zeeman Coefficient in $^{171}$Yb$^+$