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Central quantities in spectroscopy and magnetism of transition ions incrystals are crystal field parameters (CFPs). Nature self-imposed limits onorthorhombic and lower symmetry CFPs, and existence of intrinsicallyincomparable CFP sets are elucidated. Comparisons of such CFP sets result incontroversial claims, incorrect structural conclusions or CFP systematics, andmisinterpretation of spectroscopic data. Considerable extent of such pitfallsin literature indicates many researchers remain unaware of the intrinsicfeatures of low symmetry CFPs. This calls for coordinated remedial actions. Toavoid pitfalls, comparative methodology based on standardization of therhombicity ratio to express CFP sets in the same region of CF parameter spaceis proposed. Wider utilization of alternative CFP sets in the multiplecorrelated fitting technique to improve reliability (blessings) of final fittedCFPs is advocated. This review may be of interest to physicists and chemistsworking on various materials as well as to science historians and philosophers.

Nature self-imposed limits and existence of intrinsically incomparable  crystal (ligand) field parameter sets for transition ions at orthorhombic,  monoclinic, and triclinic symmetry sites in crystals: pitfalls and blessings