All of the binary systems Ca, Sr, Ba, or Eu (A) with Tt (tetrel)=Si or Ge as well as Sr–Sn form both binary Cr5B3-type A5Tt3 phases and the corresponding ternary hydrides with stuffed Cr5B3- (Ca5Sn3F-) type structures. All of those tested, Ca–Si, Ba–Si, Ca–Ge, also yield the isotypic A5Tt3Fx phases. The tetragonal structures of Ca5Si3, Ca5Si3F0.42, Sr5Si3, Eu5Si3Hx, Ca5Ge3, Ca5Ge3Hx, Ca5Ge3F0.66(I4/mcm, No. 140) and of Ba5Si3F0.16 (P4/ncc, Ba5Si3-type) were refined from single-crystal X-ray diffraction data. The interstitial H, F atoms are bound in a constricted tetrahedral (A2+)4 cavity in the Cr5B3-type heavy atom structure, which can be described ideally as (A2+)5(Tt2)6−(Tt)4−. Many of 14 previous reports of the phases reported here were apparently hydrides according to lattice constant differences or, for Sr5Si3, the fractional coordinates of Sr2 about the tetrahedral site. An articulated model is developed that allows description of the relationship between the dimensions of the tetrahedral interstitial site and the cation cavity about Tt2 and for some matrix effects in this structure type. The model suggests limitations on the stability of these binary A5Tt3 compounds for the heavier tetrels, as observed. The resistivities of Ca5Ge3 and Ca5Ge3Hx are both characteristic of poor metals, and Pauli-like magnetic susceptibilities are exhibited by Ca5Ge3, Ca5Ge3Hx, Ca5Ge3F0.66, Sr5Ge3, and Sr5Sn3. The characteristic ideal Tt6−2 dimers are evidently not realistic descriptions for these phases; rather at least some of the π*4 electrons in the dimers are delocalized in a conduction band. This effect appears to be greater in two europium salts. Bond lengths of dimers in the Ca–Si and Ca–Ge families appear to shorten slightly in three instances of their oxidation to form the hydride or the fluoride, as might be expected.