New PDF release: Diffusion in Solids. Recent Developments

By A. S. Nowick

ISBN-10: 0125226608

ISBN-13: 9780125226608

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Calculations concentrated on resonance frequencies below the transverse acoustic band edge. The results for Ge and Si are shown in Figs. 11 and 12, respectively. These figures display the expected rapid increase of resonance frequency with decreasing mass and with increasing force constant. In both of the studies on inter­ stitials reported here, the distortion of the lattice was not accounted for. Therefore, the results must be corrected for this assumption, if accuracy is desired. Of the various mechanisms of diffusion, the vacancy and interstitial I 10 100 Effective Force Constant (ergs/cm 2 ) x I0 2 I 10 100 Effective Force Constant (ergs / c m 2 ) x I0 2 Fig.

91 ergs/cm2, respectively. 995 Ä, respectively. Utilization of the 53 1. CLASSICAL AND QUANTUM THEORY OF DIFFUSION TABLE I SADDLE-POINT CONFIGURATION IN COPPERY Neighbor No. of neighbors 1 2 3 4 4 5 4 4 8 2 4 4 Symmetry 1 o i o 2 i Ϊ T i j i f i \ ! l i ! 436 ° R. A. Johnson. (1966a).

8 40 WILBUR M. FRANKLIN D. GREEN'S FUNCTION IN TERMS OF DEFECT LATTICE EIGENFUNCTIONS Up to this point, we have used a Green's function defined in terms of the eigenvectors of the perfect lattice whereas, in actuality, we are interested in a lattice with defects. A new Green's function can be defined in terms of the defect lattice by υ β * (κκ'ω2) =[K K ^) 1 / 2 ]- 1 Z[^HMW^)/(« 2 -^ 2 )] (94) where mlK and B(S)(IK) are the mass and eigenvector, respectively, for the K atom in the / unit cell. The Bloch condition does not apply to a lattice with defects so that no exponent ink * r appears.

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Diffusion in Solids. Recent Developments by A. S. Nowick

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