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We demonstrate an iterative scheme for coupled-cluster propertiescalculations without truncating the dressed properties operator. Forvalidation, magnetic dipole hyperfine constants of alkaline Earth ions arecalculated with relativistic coupled-cluster and role of electron correlationexamined. Then, a detailed analysis of the higher order terms is carried out.Based on the results, we arrive at an optimal form of the dressed operator.Which we recommend for properties calculations with relativisticcoupled-cluster theory.

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Properties from relativistic coupled-cluster without truncation:  hyperfine constants of $^{25}{\rm Mg}^+$, $^{43}{\rm Ca}^+ $, $^{87}{\rm  Sr}^+ $ and $^{137}{\rm Ba}^+$