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A practical method for generating larger symmetry groups from smaller ones is presented. It is based upon the construction of the abstract-unique group H(G) called the holomorph of a given starting group G. The extension of G by its full automorphism group A(G) is given in great detail as permutation realizations for both the cyclic and the abelian group of order 4. A selection of point groups generated...
Single crystals of yttrium aluminium borate, YAl 3 (BO 3 ) 4 , (referred to as YAB) doped with 20 and 40 mol% of Nd 3+ were grown using a flux growth method. Inconsistencies in regard to the reported ground state splitting of the doped material are pointed out. A consistent splitting and assignment of the 4 I 9/2 ground state levels of...
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