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Here we show that the 2.80(8) {\mu}B/Fe block antiferromagnetic order ofBaFe2Se3 transforms into stripe antiferromagnetic order in KFe2Se3 with adecrease in moment to 2.1(1) {\mu}B/Fe. This reduction is larger than expectedfrom the change in electron count from Ba$^{2+}$ to K$^{+}$, and occurs withthe loss of the displacements of Fe atoms from ideal positions in the ladders,as found by neutron pair distribution function analysis. Intermediatecompositions remain insulating, and magnetic susceptibility measurements show asuppression of magnetic order and probable formation of a spin-glass. Together,these results imply an orbital-dependent selection of magnetic versus bondedbehavior, driven by relative bandwidths and fillings.

Orbital Selective Magnetism in the Spin-Ladder Iron Selenides Ba$_{1-x}$K$_{x}$Fe$_2$Se$_3$