Data description for ‘Indirect to direct gap crossover in two-dimensional InSe revealed by ARPES’ The photoluminescence and DFT data and headings in the files are self-explanatory (contact the corresponding authors if in doubt). Further details are given below for the ARPES data files. Figure 2: Filename: Fig2a ARPES 1LGM Description: M to Gamma to M section of the 1L ARPES data Type: two-dimensional wave (matrix) Rows: 239 Start: 6.25 Delta: -0.021 Units: (eV) Columns: 404 Start: -1.3567 Delta: -0.00513806 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig2a ARPES 1LGK Description: K to Gamma to K section of the 1L ARPES data Type: two-dimensional wave (matrix) Rows: 239 Start: 6.25 Delta: -0.021 Units: (eV) Columns: 586 Start: 1.36947 Delta: -0.00469208 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig2d ARPES bulkgk Description: K to Gamma to K section of the bulk ARPES data Type: two-dimensional wave (matrix) Rows: 263 Start: 6.25 Delta: -0.021 Units: (eV) Columns: 476 Start: 1.11995 Delta: -0.0047334 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig2d ARPES bulkgm Description: M to Gamma to M section of the bulk ARPES data Type: two-dimensional wave (matrix) Rows: 263 Start: 6.25 Delta: -0.021 Units: (eV) Columns: 360 Start: -1.3947 Delta: -0.00552866 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Figure 3: Filename: Fig3a ARPES UVB Description: 2D plot of the energy of the upper valence band Type: two-dimensional wave (matrix) Rows: 34 Start: -0.17 Delta: 0.021534 Units: wavevector, Å-1 Columns: 127 Start: -0.07 Delta: 0.00503913 Units: wavevector, Å-1 Data units: binding energy (eV) Figure 4: Filename: Fig4 ARPES 1L Description: dispersion around Gamma of 1L InSe Type: two-dimensional wave (matrix) Rows: 315 Start: 4.16855 Delta: -0.0105 Units: (eV) Columns: 127 Start: -0.31931 Delta: 0.00498793 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig4 ARPES 2L Description: dispersion around Gamma of 2L InSe Type: two-dimensional wave (matrix) Rows: 315 Start: 4.16855 Delta: -0.0105 Units: (eV) Columns: 127 Start: -0.3 Delta: 0.00498793 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig4 ARPES 3L Description: dispersion around Gamma of 3L InSe Type: two-dimensional wave (matrix) Rows: 315 Start: 4.16855 Delta: -0.0105 Units: (eV) Columns: 127 Start: -0.306634 Delta: 0.00498792 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig4 ARPES 4L Description: dispersion around Gamma of 4L InSe Type: two-dimensional wave (matrix) Rows: 315 Start: 4.16855 Delta: -0.0105 Units: (eV) Columns: 127 Start: -0.289719 Delta: 0.00498768 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units Filename: Fig4 ARPES greater30L Description: dispersion around Gamma of >30L InSe Type: two-dimensional wave (matrix) Rows: 315 Start: 4.16855 Delta: -0.0105 Units: (eV) Columns: 127 Start: -0.298178 Delta: 0.00498768 Units: wavevector, Å-1 Data units: photoemission intensity, arbitrary units