Figure 1

Hierarchical organization of collagen fibrils. (a) Cylindrical organization of peptide bonds β around single helix (H) main axis. Helix angle θH = 53°, pitch PH = 0.95 nm and diameter DH = 0.3 nm. (b) Cylindrical coil-coil of three single helices around triple helix (3helix, 3 H) main axis. 3helix angle \({\theta }_{3H}=12^\circ \), pitch P3H = 8.5 nm and diameter D3H = 0.6 nm. (c) Cylindrical organization of the triple helix around main axis of the supercoiled (SC) fibril. Supercoil angle \({\theta }_{SC}=17^\circ \), pitch PSC = 1 μm and diameter DSC = 100 nm. (d) Bundle of well aligned fibrils with bundle main axis along z direction that is in the plane of the microscope stage (see Fig. 1g). (e) Bundle of well aligned and tilted fibrils along y direction with angle \({\theta }_{Tc}\) with z direction. (f) Bundle of disordered fibrils within a cone with half apex angle \({\theta }_{Tr}\) with z direction. (g) Microscope stage with fixed laboratory coordinates system X, Y, Z. \(\gamma \) and \(\alpha \) are angles between respectively z direction and input polarization with Z direction. Light propagates in y = Y direction. For (a–c), diameters D and pitches P are from references23,24.