## Treatise on Materials Science and Technology, Volume 1 |

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Page 2

We will see that the excess free energy

treated as arising from five different sources : ( 1 ) a short range quasi - chemical

term Yc due to the typical molecular interactions at the interface , ( 2 ) a longer ...

We will see that the excess free energy

**associated**with the interface y can betreated as arising from five different sources : ( 1 ) a short range quasi - chemical

term Yc due to the typical molecular interactions at the interface , ( 2 ) a longer ...

Page 13

The method of calculation is therefore simply to list , for each structure , the

possible values of r ; and their

lattice sum for particular potential functions ( r ) . This corresponds to writing Eq . (

9a ) ...

The method of calculation is therefore simply to list , for each structure , the

possible values of r ; and their

**associated**multiplicities M ; and then evaluate thelattice sum for particular potential functions ( r ) . This corresponds to writing Eq . (

9a ) ...

Page 50

9 ( provided all of the heat of fusion is

the 3 - level model , let X . , X1 , and X - , be the fraction of molecular states of

type 0 , 1 , and – 1 , respectively , per unit area of interface . Therefore , X . + X1 +

X ...

9 ( provided all of the heat of fusion is

**associated**with molecular changes ) . * Forthe 3 - level model , let X . , X1 , and X - , be the fraction of molecular states of

type 0 , 1 , and – 1 , respectively , per unit area of interface . Therefore , X . + X1 +

X ...

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addition alloys analysis angle applied approach associated assumed atoms average becomes bond boundary calculated complex composite concentration consider constants contribution crystal curvature curve decrease defined dependence deposition determined developed direction discussed displacement distance distribution dynamical effect elastic electron elements energy equal equation exist experimental fibers force fracture function given gives grain grain boundaries Group growth growth path illustrated increase indicate interaction interface internal friction interstitial iron laminate lattice layer length material matrix measured mechanism metal microstructural molecules nitrogen normal nucleation observed obtained occur oxygen particles peak phase plane position possible potential present produce properties region reinforcing relaxation respectively shown in Fig shows single Snoek peak solid solution strain strength stress structure substitutional surface Table temperature tungsten unit values volume waves