I'm told that the MnO crystal resembles in structure that of NaCl (FCC) with lattice constant(adsbygoogle = window.adsbygoogle || []).push({}); a, and am first asked to write a general expression for the position vectorRof the ion_{j}jin the unit cell of MnO. I am then asked to find the vectorKfor MnO in order to use the relation μ_{j}=μ_{0}e^{(iK⋅Rj)}to determine the magnetic moment of an ion at the positionR._{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 vectorK, need I to first find the reciprocal lattice?

I'd appreciate some explicit assistance/guidance.

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# I Neutron scattering - determing the magnetic moment for MnO

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