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A measurement of correlations between event-plane angles $\Phi_n$ ispresented as a function of centrality for Pb-Pb collisions at$\sqrt{s_{_{\mathrm{NN}}}}=2.76$ TeV. These correlations are estimated fromobserved event-plane angles $\Psi_n$ obtained from charged particle ortransverse energy flow measured over a large pseudorapidity range $|\eta|<4.8$,followed by a resolution correction that accounts for the dispersion of$\Psi_n$ relative to $\Phi_n$. Various correlators involving two or three eventplanes with acceptable resolution are measured. Significant positivecorrelations are observed for $4(\Phi_2-\Phi_4)$, $6(\Phi_2-\Phi_6)$,$6(\Phi_3-\Phi_6)$, $2\Phi_2+3\Phi_3-5\Phi_5$, $2\Phi_2+4\Phi_4-6\Phi_6$ and$-10\Phi_2+4\Phi_4+6\Phi_6$. However, the measured correlations for$2\Phi_2-6\Phi_3+4\Phi_4$ are negative. These results may shed light on thepatterns of the fluctuation of the created matter in the initial state as wellas the subsequent hydrodynamic evolution.

Measurement of Event Plane Correlations in Pb-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV with the ATLAS Detector