(Solved): The figure below shows an x-ray diffraction pattern for a-iron taken using a diffractometer and mon ...

The figure below shows an x-ray diffraction pattern for a-iron taken using a diffractometer and monochromatic \( x \)-radiation having a wavelength of \( 0.1542 \mathrm{~nm} \); each diffraction peak on the pattern has been indexed. Compute the interplanar spacing for each set of planes indexed; also determine the lattice parameter of Fe for each of the peaks: What is \( 2 \theta \) for each of the planes? (a) (110) (b) (200) (c) (211) (a) (b) (c) What is \( d_{h \text { he in }} \) nm for (a) (110) (b) \( (200) \) (c) (211) (a) \( d_{110}= \) (b) \( d_{200}= \) (c) \( d_{211}= \) What is the calculated value of \( a \) in nm for each of the following planes: (a) (110) (b) (200) (c) (211) (a) \( a= \) (b) \( a= \) (c) \( a= \)