Extended Data Fig. 9: Procedure of data analysis and obtained data.
From: Electron holography observation of individual ferrimagnetic lattice planes

a, Flow chart of data analysis. b, Phase \({\varphi }_{\uparrow }\) with + M. c, Phase \({\varphi }_{\downarrow }\) with −M. d, Electrostatic phase. e, Magnetic phase. f, Line profiles of magnetic phase in the [111] direction in the area indicated by the yellow-dashed rectangle in e with different alignment positions for separating electrostatic and magnetic phases. g, Mean squared error of phase obtained from the \({\varphi }_{M}\) background with different alignment positions in the alignment area shown in f (also indicated by the yellow lines in e). h, Magnetic phase averaged in the (111) lattice plane with 2.5-nm range of the area indicated by the white rectangle in e. i, Magnetic phase when Gaussian blur with σ of 0.4 nm along the lattice plane after the averaging in the (111) lattice plane with 2.5-nm range for e. j, Enlarged image of the area indicated by the white rectangle in i. k, Derivative of magnetic phase i that reflects the in-plane magnetic field. l, Enlarged image of the area indicated by the white rectangle in k. The color wheel in l indicates how color and shade denote magnetic-field directions and strength (i.e., derivatives of magnetic phase range 0-0.06 rad/nm in absolute values). The areas indicated by white squares in j and l correspond to Figs. 2d and g. The white-dashed rectangles in i and l indicate the areas used for evaluating standard deviation. The red-dashed rectangles (W 2.8 nm × H 13.7 nm) in d, i and k show the areas used for evaluating the histograms (Figs. 2e, f and h) of the peak-to-peak values of electrostatic and magnetic phases and the +peak for the Mo plane and the −peak for the Fe plane of the derivative of the magnetic phase. The scale bar is 2 nm.