Determination of the magnetic q vectors in the heavy fermion superconductor Ce3PtIn11

An analysis with a transferred hyperfine field has been performed on the spectra of $^{115}\mathrm{In}$ nuclear quadrupole resonance experiments heavy fermion superconductor ${\mathrm{Ce}}_{3}{\mathrm{PtIn}}_{11}$ exhibiting co-occurrence two successive antiferromagnetic orderings (${T}_{\mathrm{N}1}$ = 2.2 K and ${T}_{\mathrm{N}2}$ 2.0 K) followed by superconducting transition (${T}_{\mathrm{c}}$ 0.32 K). The spectral changes at magnetic temperatures ${T}_{\mathrm{N}1}$ indicate that Ce(2) site dominant contribution, small moment, but not negligible, Ce(1) site. Our using which overcomes previous simple dipolar model evinces structures ${\mathrm{Ce}}_{3}{\mathrm{PtIn}}_{11}$. $\mathrm{For}{T}_{\mathrm{N}2}<T<{T}_{\mathrm{N}1}$, propagation vectors sublattices are ${\mathbit{q}}_{1}={\mathbit{q}}_{2}=(\frac{1}{2},\phantom{\rule{0.16em}{0ex}}\frac{1}{2},\phantom{\rule{0.16em}{0ex}}0\phantom{\rule{0.16em}{0ex}}\phantom{\rule{4.pt}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}\phantom{\rule{0.16em}{0ex}}\frac{1}{2})$. On other hand, for $T<{T}_{\mathrm{N}2}$, ${\mathbit{q}}_{1}=(\frac{1}{2},\phantom{\rule{0.16em}{0ex}}\frac{1}{2},\phantom{\rule{0.16em}{0ex}}\frac{1}{6}\phantom{\rule{0.16em}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}\phantom{\rule{0.16em}{0ex}}\frac{1}{3})$ ${\mathbit{q}}_{2}=(\frac{1}{2},\phantom{\rule{0.16em}{0ex}}\frac{1}{2},\phantom{\rule{0.16em}{0ex}}\frac{1}{2}\phantom{\rule{0.16em}{0ex}}\phantom{\rule{4.pt}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}\phantom{\rule{0.16em}{0ex}}0)$, respectively.