a b Figure 6: Scans of various half-order peaks through L and H . The peak widths of all the L scans ( a ) are roughly equal, while the widths of all the H scans ( b ) are roughly equal. From this w e conclude that the half-order reciprocal lattice points all have approximately the same width along H , K , and L . 0.3 0.2 0.1 I/I 0  (arb. units) -0.4 -0.2 0.0 0.2 0.4 (°)  (5/2 -3/2 3/2)  (3/2 -5/2 3/2)  (5/2 3/2 3/2) 0.12 0.10 0.08 0.06 0.04 0.02 I/I 0  (arb. units) -2 -1 0 1 2 (º)  ( 3/2 1/2 1/2)  ( 1/2 3/2 1/2)  (-1/2 3/2 1/2)  (-1/2 -3/2 1/2) a b Figure 7: Evidence for domains in LNO films. Half-order diffraction peaks from the LNO grown on STO ( a ) and LAO ( b ). The equal intensity of the (3/2 1/2 1/2)-family of peaks in LNO/STO indicate an equal population of tilt domains. The unequal intensity of the (5/2 3/2 3/2)-family of peaks in LNO/LAO indicate that some domains are preferred over others. The (1/2 1/2 5/2)-family of peaks also exhibits unequal intensities. 18