· 0 50 100 150 200 250 300 350 400 450 500 0 5 10 15 b (gpa) gn 0 20 40 60 80 100 120 0 5 10 15 v...

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8 9 10 11 12 13VExp ( A

3/Atom)

8

9

10

11

12

13

VC

alc (A

3 /Ato

m)

VC

TiC

NbC

ZrC

9 10 11 12 13V (A

3/Atom)

E (

kJ/A

tom

)

TiCZrC

V0(TiC) V0(ZrC)

0.0 0.2 0.4 0.6 0.8 1.0XZrC

5

15

25

Eel

astic

(kJ

/mol

)EEE

[001]

[111]

L12

L12[110]

tI16

tP16

tI16

tP16

0.0 0.2 0.4 0.6 0.8 1.0XZrC

9

10

11

12

13

V/M

C (

A3 /A

tom

)

+5%

0.0 0.2 0.4 0.6 0.8 1.0X(PbMgO3)

0

E (

kJ/m

ol)

0.0 0.2 0.4 0.6 0.8 1.0X(BiTiO3)

0

E (

kJ/m

ol)

0.0 0.2 0.4 0.6 0.8 1.0X(PbMgO3)

0

E (

kJ/m

ol)

Eform

Enon

0.0 0.5 1.0Displacement Vector

0

Ene

rgy

(kJ/

PbM

gO3)

PbMgO3

PbTiO3

0.0 0.5 1.0Displacement Vector

0.0

Ene

rgy

(kJ/

AB

O3)

PbTiO3

PbNbO3

0

50

100

150

200

250

300

350

400

450

500

0 5 10 15 B

(G

Pa)

GN

0

20

40

60

80

100

120

0 5 10 15

V (

A3 a

t.-1)

GN

0

200

400

600

800

1000

1200

0 5 10 15

kB =

B

V 3

GN

Li Be

Na Mg Al

K Ti V Cr Mn Fe Co Ni Cu Zn Ga

Rb Zr Nb Mo Tc Ru Rh Pd Ag Cd Sn

Cs Hf Ta W Re Os Ir Pt Au Hg Tl Pb

GN 1 2 4 5 6 7 8 9 10 11 12 13 14

0

500

1000

1500

0 1 2 3 4 5

D

kB/M

Be

0

500

1000

1500

0 1 2 3 4 5

S

kB/M

Be

Li Na Mg K Cu Rb Ag Cs Au Ti V Cr Mn Fe Co Ni Zr Nb Mo Tc Ru Rh Pd Hf Ta W Re Os Ir Pt Be Al Zn Ga Cd Sn Hg Tl Pb

0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

0 1 2 3 4 5 6 7 8 9 10

kB/M

ne

B2 L10 B32

Sc

Ti

Cr Fe Co Ni

B2

B33

B32 B20

Y

Zr

Mo

Tc Ru Rh Pd

Ag

0

50

100

150

200

250

300

0 1 2 3 4 5 6 7 8 9 10

B (

GP

a)

ne

Fe

Ru

Ag

2 4 6 8 10ne

0

50

100

150

200

B a

nd C

’ (G

Pa)

BC’

ScAl

TiAl

VAl NbAl

FeAlCoAl

NiAl