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

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Page 6

For fixed orientations, the mutual potential energy of the two

EA = /i2/r3) [2 cos 01 cos 02 — sin01 sin 02 cos 02)] (3a) where and n2 are the

permanent

For fixed orientations, the mutual potential energy of the two

**dipoles**is given byEA = /i2/r3) [2 cos 01 cos 02 — sin01 sin 02 cos 02)] (3a) where and n2 are the

permanent

**dipole**moments of the two molecules and where 9 and <p are the ...Page 9

(6) where C, C1, Cu, etc., are constants associated with instantaneous

respectively. In most normal cases, the second and third terms are neglected

leaving only the ...

(6) where C, C1, Cu, etc., are constants associated with instantaneous

**dipole**-**dipole**,**dipole**-quadrupole, quadrupole-quadrupole, etc., interactions,respectively. In most normal cases, the second and third terms are neglected

leaving only the ...

Page 20

Illustration of a polar molecule with

b) a spherical surface. between nearest neighbors. The total increase of yc for

this curved surface with respect to planar surface is then where N is the total ...

Illustration of a polar molecule with

**dipole**alignment at either (a) a flat surface or (b) a spherical surface. between nearest neighbors. The total increase of yc for

this curved surface with respect to planar surface is then where N is the total ...

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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