X-ray diffractiorn suppose the hypothetical element unobtanium has a single electron, which is bound in a cubic volume of side length 2r, centred about the nucleus. within this volume, the electron density is perfectly uniform, and zero outside. (a) derive an expression for the electron density within the material. it may be piecewise linear. (2 mark) (b) derive the atomic form factor of unobtanium. (5 marks) (c) if unobtainium were organised in a primitive cubic lattice of unit cell side length 2r, what would the diffraction pattern look like? note that this atom has very unusual properties, so may warrant careful thought.