The interactions of halides with a number of bipodal receptors are examined via quantum chemical methods. The receptors are based upon a dithieno thiophene framework in which two S atoms can engage in a pair of chalcogen bonds with a halide. These two S atoms are replaced by P and As atoms to compare chalcogen with pnicogen bonding, and by Ge which engages in tetrel bonds with the receptor. Zero, one, and two O atoms are added to the thiophene S atom which is not directly involved in the interaction with the halides. Fluoride is bound the most strongly, followed by Cl-, Br-, and I- in that order. Replacing S by the pnicogen bonds of P strengthens the binding, as does moving down to As in the third row of the periodic table. A further large increment is associated with the switch to the tetrel bonds of Ge. Even though the thiophene S atom is remote from the binding site, each additional O atom added to it raises the binding energy, which can be quite large, as much as 63 kcal/mol for the Ge••F- interaction. The receptors have a pronounced selectivity for F- over the other halides, as high as 27 orders of magnitude. The data suggest that incorporation of tetrel atoms may lead to new and more powerful halide receptors.