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

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Page 265

In systems in which the particle shape is time independent , the

be fully represented by the variation of any convenient particle dimension with

time . For example , if the particles were spherical , the variation of the radius of

the ...

In systems in which the particle shape is time independent , the

**growth**path maybe fully represented by the variation of any convenient particle dimension with

time . For example , if the particles were spherical , the variation of the radius of

the ...

Page 266

Schematic

any time interval , and ( b ) the average

Fig . 4a . The problem of characterizing the distribution of

Schematic

**growth**paths showing ( a ) the spectrum of**growth**paths originating inany time interval , and ( b ) the average

**growth**path representing this spectrum .Fig . 4a . The problem of characterizing the distribution of

**growth**paths ...Page 268

where G ( R , T ) is the

the general case , where G is a function of size and time , the integration of Eq . (

32 ) is straightforward only if a separation of variables may be accomplished ...

where G ( R , T ) is the

**growth**rate ( dR / dt ) for a particle of size R at time T . * Inthe general case , where G is a function of size and time , the integration of Eq . (

32 ) is straightforward only if a separation of variables may be accomplished ...

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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