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

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Page 50

Considering also that the formation of ( 1 , 1 ) or ( - 1 , - 1 ) neighbors results in a

decrease of one S / L bond each , the excess energy Au over that of the 1 - level

model is

Considering also that the formation of ( 1 , 1 ) or ( - 1 , - 1 ) neighbors results in a

decrease of one S / L bond each , the excess energy Au over that of the 1 - level

model is

**given**by Au = 8ɛ X ( 1 — X ) ( 50 ) In calculating Au , only that portion ...Page 67

If the volume free energy change per unit volume of transformed material at the

new equilibrium transformation temperature is SGy , the total free energy change

AG is

If the volume free energy change per unit volume of transformed material at the

new equilibrium transformation temperature is SGy , the total free energy change

AG is

**given**by AG = 8Gy + AGS = 21 Rd RSGy + 2nd Ry ( 70 ) The free energy ...Page 125

... properties of the composite as a whole and is therefore an effective mass . The

symmetry of the lattice and the operations in its point group are

A . Let us take the origin at the point occupied by object O ( Figs . la and 2a ) .

... properties of the composite as a whole and is therefore an effective mass . The

symmetry of the lattice and the operations in its point group are

**given**in AppendixA . Let us take the origin at the point occupied by object O ( Figs . la and 2a ) .

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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