The Fourier-transform spectrum from an iron-neon hollow-cathode lamp has been studied in the region 9000-11 000 Å. The 3d6(5D)5g subconfiguration of Fe II has been established by means of about 220 newly identified 4f-5g transitions. The 5g configuration is well represented by J K coupling, which is demonstrated by the application of the quadrupolic approximation. A consistent pattern in the FWHM for various types of Fe II transitions has been observed. Calculated oscillator strengths are given for all observed lines and their relative accuracy is estimated from observed intensities. The new data offer unprecedented tools for diagnostics of stellar atmospheres.