The orientations of the dipole vector of the fluorescence probe in different conformational states in the local frame of reference. (A) The 3D probability densities of individual conformational states plotted against θ and φ values. These angle values for individual events of adopting various conformations are determined from the particle exhibited in Fig. 1. (B) The positions of the arrowheads of individual vectors that represent the orientations of the fluorophore dipole in the individual events are mapped onto a unit sphere defined by the Cartesian coordinates of the local framework described in Results. The x, y, and z positions are calculated from θ and φ plotted in panel A, with a radius of a unit length that has no physical meaning here. The histograms (A) and data points (B) for conformational state C1 are colored yellow, C2 colored blue, C3 colored orange, and C4 color cyan.