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The neutron diffraction and nuclear magnetic resonance (NMR) measurementshave been used to microscopically analyze the magnetic structure in the $S =1/2$ kagome antiferromagnet CdCu$_{3}$(OH)$_{6}$(NO$_{3}$)$_{2}\cdot $H$_{2}$O.Below the magnetic ordering temperature $T_N\simeq 4$ K, magnetic Braggreflections at (110) and (100) were found in the neutron diffraction pattern,which suggests a $q=0$ magnetic structure. Furthermore, the vector spinchirality for the $q=0$ structure was successfully identified from the internalfield direction obtained by the $^{14}$N-NMR measurement. Our findings point toa chirality-ordered magnetic structure with negative vector chirality and$\langle 100 \rangle$ anisotropy.

Negative-chirality order in $S=1/2$ kagome antiferromagnet CdCu$_{3}$(OH)$_{6}$(NO$_{3}$)$_{2}\cdot $H$_{2}$O