Use defractometer trace values to analyse the cubic metal element Chemical Engineering

Lattice Reflection present Reflection absent Simple cubic Every (bk!) plane (6 + k + 1) = even (h, k, l) all odd or all even None Th + k + 1) = odd b, k, I mixed even and odd FCC 2. Miller indices of diflracting planes in BCC and FCC Diffracting planes Cubic planes {hkl) Sum + k + R BCC FCC 110 111 200 200 {100) {110) {111) (200) (210) {211} (220) {221) (310) (311) (222) 2 3 4 5 6 8 9 10 11 12 OOOWN 211 220 220 310 311 222 222 4.00 3.24 2.56 1.96 x 1.44 X-ray intensity (x 10* CTS) 1.00 0.64 0.36 0.16 0.04 0.40 60.0 120.0 140.0 80.0 100.0 Diffraction angle 20 de (nm) Ratio (h? + + 1) Line 20 sin e sin'e + (hk) 44.52 51.93 76,37 1 2 3 4 5 6 7 22.26 25.97 38.19 46.62 49.22 60.96 72.28 0.3788 0.4379 0.6182 0.7268 0.7572 0.8742 0.9526 0.2033 0.1760 0.1246 0.1060 0.1018 0.0881 0.0809 0.1435 0.1918 0.3822 0.5283 0.5734 0.7644 0.9074 3 4 8 11 12 16 19 (111) (200) (220) (311) (222 (400) (331) a (nm) (Eq. 3-4) 0.3522 0.3518 0.3524 0.3515 0.3524 0.3524 0.3525 98.43 121.9 144.6