Table 1 Crystalline structures, cluster formulas, the total atom number Z of cluster structural unit in Ti-Al(-Nb) phases, in which the Fermi vector kF and atomic density ρa are also involved.

From: Exploration of phase structure evolution induced by alloying elements in Ti alloys via a chemical-short-range-order cluster model

Phase

Structure

Cluster formula

Composition (at. %)

Z

kF (nm−1)

ρa (nm−3)

α-Ti

hP-Mg

[Al-Ti6Ti6]Ti3

Ti (Al-doped)

16.01

13.62

56.68

α (limit Al)

hP-Mg

[Al-Ti6Ti6]AlTi2

Ti87.5Al12.5

α2 (Ti3Al)

hP-Ni3Sn (D019)

[Al-Ti6Ti6]Al3

Ti75Al25

16.05

13.80

59.50

α2 (Ti70Al23Nb7)

hP-Ni3Sn (D019)

[Al-Ti6Ti5Nb1]Al3

Ti68.75Al25Nb6.25

γ (TiAl)

tP-AuCu (L10)

[Al-Al4Ti8]Al3

Ti50Al50

15.89

14.02

61.38

O (Ti2AlNb)

oC-HgNa

[Al-Ti4Ti2Ti2Nb2Nb2]Al3 = [Al-Ti8Nb4]Al3

Ti50Al25Nb25

15.74

13.78

56.73

B2 (Ti(Al,Nb))

cP-CsCl

[Al-Ti8(Al,Nb]6](Al,Nb)

Ti50(Al,Nb)50

16.05

13.60

56.68

β-Ti (>882 °C)

cI-W

[Al-Ti8Ti6]Ti

Ti (Al-doped)

16.26

13.42

55.09

ω-Ti

hP-AlB2

[Al-Ti2Ti12]Ti

Ti (Al-doped)

16.27

13.65

58.05