Coulomb excitation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Rn</mml:mi><mml:mprescripts/><mml:none/><mml:mn>222</mml:mn></mml:mmultiscripts></mml:math>

The nature of quadrupole and octupole collectivity in $^{222}\mathrm{Rn}$ was investigated by determining the electric-quadrupole ($E2$) and octupole ($E3$) matrix elements using subbarrier, multistep Coulomb excitation. The radioactive $^{222}\mathrm{Rn}$ beam, accelerated to 4.23 MeV/u, was provided by the HIE-ISOLDE facility at CERN. Data were collected in the Miniball $\ensuremath{\gamma}$-ray spectrometer following the bombardment of two targets, $^{120}\mathrm{Sn}$ and $^{60}\mathrm{Ni}$. Transition $E2$ matrix elements within the ground-state and octupole bands were measured up to $10\ensuremath{\hbar}$ and the results were consistent with a constant intrinsic electric-quadrupole moment, $518(11)\phantom{\rule{4pt}{0ex}}e\phantom{\rule{0.16em}{0ex}}{\mathrm{fm}}^{2}$. The values of the intrinsic electric-octupole moment for the ${0}^{+}\ensuremath{\rightarrow}{3}^{\ensuremath{-}}$ and ${2}^{+}\ensuremath{\rightarrow}{5}^{\ensuremath{-}}$ transitions were found to be respectively ${2360}_{\ensuremath{-}210}^{+300}\phantom{\rule{4pt}{0ex}}e\phantom{\rule{0.16em}{0ex}}{\mathrm{fm}}^{3}$ and ${2300}_{\ensuremath{-}500}^{+300}\phantom{\rule{4pt}{0ex}}e\phantom{\rule{0.16em}{0ex}}{\mathrm{fm}}^{3}$ while a smaller value, ${1200}_{\ensuremath{-}900}^{+500}\phantom{\rule{4pt}{0ex}}e\phantom{\rule{0.16em}{0ex}}{\mathrm{fm}}^{3}$, was found for the ${2}^{+}\ensuremath{\rightarrow}{1}^{\ensuremath{-}}$ transition. In addition, four excited non-yrast states were identified in this work via $\ensuremath{\gamma}\text{\ensuremath{-}}\ensuremath{\gamma}$ coincidences.

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