Left and middle panels: radial (ξ_r(R)) and horizontal (ξ_h(R)) components of the Lagrangian displacement vectors. Right panel: rotational kernels and the Brunt–Väisälä frequency (N) in the near-core region in which the g modes have the highest probing power. These displacement vectors and kernels are of the lowest and highest radial order modes of the theoretical period-spacing pattern of our overall best model (M = 1.65 M_⊙, X_c = 0.24, f_ov = 0.005, and log D_mix = 1.5). A full derivation of these quantities is provided in Unno et al. (1989) and Aerts et al. (2010).