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X‐Ray Measurements of Stacking Faults and Internal Strains in &agr;‐Cu‐Zn and &agr;‐Cu‐Sn

 

作者: C. N. J. Wagner,   J. C. He´lion,  

 

期刊: Journal of Applied Physics  (AIP Available online 1965)
卷期: Volume 36, issue 9  

页码: 2830-2837

 

ISSN:0021-8979

 

年代: 1965

 

DOI:10.1063/1.1714589

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Powder‐pattern peaks of cold‐worked and annealed fcc Cu‐Zn and Cu‐Sn filings were measured with a diffractometer using filtered Cu radiation. The plots of the lattice parameterahkl, calculated from the peak maximum position of the individual (hkl) reflections, as a function of cos&thgr;·cot&thgr; proved to be linear for all annealed powder samples. The large scatter of the individualahklvalues of the cold‐worked filings could be related to the deformation stacking‐fault probability &agr;=&agr;′‐&agr;″ (intrinsic‐fault probability &agr;′ and extrinsic‐fault probability &agr;″), segregation &Dgr;x, and internal stresses &sgr;. The lattice parameters (a0)CWof the cold‐worked filings of the Cu‐Zn alloys were larger, whereas (a0)CWof the Cu‐Sn alloys were smaller than the corresponding (a0)Annvalues of the annealed filings. The deformation‐fault probability &agr; increases with increasing solute concentration.The combined twin‐fault probabilities &bgr; and extrinsic‐fault probability &agr;″, i.e., 4.5 &agr;″+&bgr;, were determined from the displacements of the center of gravity from the peak maximum positions of the (111) and (200) reflections. Fourier analysis of the line shapes allowed the determination of the fault probabilities [1.5(&agr;′+&agr;″)+&bgr;], the average domain sizeD, and the rms strain components in the [111] direction. Using the quantities &agr;′‐&agr;″, 4.5 &agr;″+&bgr;, and 1.5(&agr;′+&agr;″)+&bgr; and solving for &agr;′, &agr;″, and &bgr;, no evidence of the occurrence of extrinsic faults in the cold‐worked filings could be found. The values of 1.5 &agr;′+&bgr; calculated from line broadening agree rather well with those obtained from lattice‐parameter and center‐of‐gravity changes, indicating that intrinsic deformation and twin stacking faults are the primary causes of the broadening and shifts of the powder‐pattern peaks from cold‐worked &agr;‐Cu‐Zn and &agr;‐Cu‐Sn filings.

 

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