Iron films having thicknesses of 20, 100, and 250 Å were deposited from the vapor in a vacuum of about 2×10−5mm Hg at a rate of deposition of approximately 8 Å/sec onto Formvar substrates initially at room temperature and onto silica substrates initially at 50°C. Prior to deposition the latter were baked‐out at 500°C for 1 h. Transmission electron diffraction patterns of the specimens were examined with a microphotometer and no evidence of fiber orientation was found. These experiments were repeated with films being deposited at pressures of 10−2and 10−1mm Hg of helium introduced into the system after initial evacuation of the system to about 2×10−5mm Hg. Again random orientation was observed for both the Formvar and silica‐backed films. Comparison of the conditions characterizing this work with those describing similar work in which a fiber texture did occur leads to the formulation of the hypothesis that if the experimental technique does not include at least one of two conditions (high deposition rate, high substrate/deposit surface temperature), then fiber orientation is not likely to occur in thin (<1000 Å) iron films deposited onto amorphous substrates, but only in thick films for which prolonged exposure to the radiant source eventually sufficiently elevates the surface temperature. A qualitative description of the processes involved is suggested.