Abstract
The recently proposed semiempirical mass formula for spherical Coulomb crystalsis generalized to include spheroidal deformations and Maclaurin-type rotations.The external focusing frequencies are adjusted in such a way that in theinterior the forces due to focusing and Coulomb repulsion are cancelledout exactly. With the help of molecular dynamics calculations isometricconfigurations of non-spherical Coulomb crystals formed due to a non-sphericaltrapping potential or due to rotation are found to have less energy thanthe spherical ground state with the same number of particles. Possiblecollective multipole excitations of the neutral background are discussed.
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