Abstract Mechanical properties, elastic moduli, transmission factors (TFs), and gamma-ray shielding performance of quaternary glass systems with chemical composition (0.25? x )Bi 2 O 3 – B ?0.75(50%P 5 ?50%V ), where = 0.05 (S1), 0.10 (S2), 0.15 (S3), 0.20 (S4) mol%, were comprehensively studied. The MCNPX code, Phy-X/PSD software, the Makishima–Mackenzie model utilized to achieve mentioned pur...