Composition formulas of Ti alloys derived by interpreting Ti-6Al-4V

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Titanium alloys are composed of α and β phases and are classified as near α,dual-phase α+β,and β types.This study attempts to derive their general composition formulas within the cluster-plus-glue-atom model by interpreting Ti-6Al-4V and other popular dual-phase α+β Ti alloys with well-established chemical compositions.Our model identified a molecule-like structural unit that covers only a nearest-neighbor cluster along with a few next-neighbor glue atoms,which can be represented as“[cluster](glue atoms)x”.The structural units of the α and β phases in Ti-6A1-4V,α-[Al-Ti12](AlTi2),and β-[Al-Ti14](V2Ti),were derived first and were in an unusual unit ratio of about 2.33:1.To obtain an alloy composition formula that satisfied this unit ratio,the two clusters were treated as hard spheres of different radii and packed according to the cluster-plus-glue-atom model.Our calculations determined that the Ti-6Al-4V alloy unit is composed of 12 α-[Al-Ti12](AlTi2)and 5 β-[Al-Ti14](V2Ti)units(Ti-6.05A1-3.94V wt.%),with the fractional volume of the β phase being 32.5 vol.%,which is in agreement with experimental data.Finally,we describe how the chemical formulas of the α and β phases explain the high temperature near-α alloys(such as Ti-1100,[Al-(Ti0.97Zr0.03)12](Al0.67Si0.12Sn0.18Mo0.03)1.01Ti1.99)and high-strength β-Ti alloys(such as Ti-5553,[Al-Ti14](Al0.24Fe0.03Cr020-Mo0.18V0.35)2.45Ti0.55),respectively.
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