“…It turns out, however, that the appearance of true multipolar order, that is, of rank higher than dipolar order, is actually rare in solid state compounds. Thus far, true multipolar order has been discovered, or predicted, for about a dozen crystalline materials, such as, CeB 6 , 10-21) R 3 Pd 20 X 6 (R: Ce, Pr, X: Si, Ge), [22][23][24][25][26][27][28][29][30][31][32] PrPb 3 , [33][34][35][36][37][38][39][40][41][42] PrMg 3 , [43][44][45][46] A major question is which theoretical description is suitable to unveil insight in the origin of the multipolar order in crystal systems. Single ion crystal-electric field (CEF) theories could previously provide understanding of aspects of multipolar ordered ionic states, often in relation to the local point group symmetry and assumptions made regarding the CEF level scheme.…”