## Treatise on materials science and technology, Volume 1 |

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Page 160

case the dynamical matrix depends on only six independent

can be determined in terms of the elastic constants. For a more realistic

calculation, one should include the effect of further neighbors. However, in the

absence of ...

case the dynamical matrix depends on only six independent

**parameters**, whichcan be determined in terms of the elastic constants. For a more realistic

calculation, one should include the effect of further neighbors. However, in the

absence of ...

Page 251

Metric properties Topological properties Extensive Average structure Lv. All of

these

distribution, and thus satisfy the conditions that they are general and quantitative.

Metric properties Topological properties Extensive Average structure Lv. All of

these

**parameters**may be denned for features of arbitrary shape, size, anddistribution, and thus satisfy the conditions that they are general and quantitative.

Page 280

This distribution could be characterized by one or more physically determined

any given physical system. The growth path model is highly flexible in its present

...

This distribution could be characterized by one or more physically determined

**parameters**, which then become adjustable**parameters**that may be evaluated forany given physical system. The growth path model is highly flexible in its present

...

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activation energy alloys angle annealing Argon Arsenault axis binding energy bond calculated carbon chemical vapor deposition crystal curvature curve CVD tungsten Debye decrease deposition determined dipole displacement distribution effect elastic constants elastic waves electron equation equilibrium experimental Fe-Mn-N Fe-N fibers force constants fracture free energy function geometric given grain boundaries group velocities growth path envelope Hasson hoop stress impingement increase interface internal friction interstitial ions kcal/mole kinetics laminate lattice layer manganese measured mechanism metal microstructural change molecules neighbors niobium nitrogen nitrogen atoms nucleation obtained oxygen parameters particles peak broadening peak height phase potential propagation reinforcing elements relaxation processes rhenium s-i interaction s-i pair scavenging Section shear shown in Fig Snoek peak solid specimen structure substitutional addition substitutional solute substrate surface tensile ternary alloys tetragonal titanium transverse wave triple line tungsten values vanadium volume fraction xy plane yield stress zirconium