Lattice and elastic constants of titanium–niobium monoborides containing aluminum and vanadium

First-principles electronic structures were used to compute the lattice and elastic constants of single-crystal TiB and NbB and changes with Nb, Ti, Al and V solutes. The data were built into an interpolation formula for lattice and elastic constants of the quartenary (TiNbAlV)B with dilute Al and V concentrations. The lattice and elastic constants of borides in two Ti alloys containing Nb and Al are predicted from microprobe measurements.