(b) The interplanar spacing is a function of the Miller indices and lattice parameters. For example, for crystal structures having cubic symmetry:d Derive the interplanar spacing for crystal structures having tetragonal symmetry. (3%)

(c) A BCT unit cell in martensitic steel is simply a body-centered cube that has been elongated along the c-axis. Due to the reduced symmetry from BCC, the martensite (002) and (200) peaks spit in X-ray diffraction pattern may be observed. Today a martensitic steel sampie with unknown carbon concentration is detected to have 2θ = 5.7° difference between (002) and (200) planes while using X-ray diffraction with Cr-Ka radiation (wavelength = 0.22897 nm). From a linear relationship between carbon content and cla ratio: , and lattice parameter a = 0.2868 nm, evaluate the carbon concentration of this martensitic steel. (4%)

題組內容

(b) The interplanar spacing is a function of the Miller indices and lattice parameters. For example, for crystal structures having cubic symmetry:
d Derive the interplanar spacing for crystal structures having tetragonal symmetry. (3%)

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