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*a*, and am first asked to write a general expression for the position vector

*R*of the ion

_{j}*j*in the unit cell of MnO. I am then asked to find the vector

*K*for MnO in order to use the relation μ

_{j}=μ

_{0}e

^{(iK⋅Rj)}to determine the magnetic moment of an ion at the position

*R*.

_{j}I initially wrote down the unit cell vectors for one of the two atoms, and added to these a basis (due to the second atom): a

_{1}=a/2(x^+y^),a

_{2}=a/2(x^+z^),a

_{3}=a/2(y^+z^), with basis: d

_{1}=0,d

_{2}=a/2(x^+y^+z^).

How am I to formulate the expression for the general position vector R

_{j}? Would it simply be a linear combination of all these vectors? Next, for determining the value of the vector

*K*, need I to first find the reciprocal lattice?

I'd appreciate some explicit assistance/guidance.