Proposal of simplified modified Williamson-Hall equation

Setsuo Takaki, Takuro Masumura, Toshihiro Tsuchiyma

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Williamson-Hall (WH) plots are characterized by irregular arrangement of data due to the elastic anisotropy in each {hkl} plane. In order to correct the effect of elastic anisotropy, Ungár developed a unique methodology using the contrast factor C, so called the modified Williamson-Hall (mWH) method. When X-ray with the wave length λ was used for diffraction analysis and diffraction angle θ and integral breadth β was obtained in each diffraction peak, the following mWH equation is constructed as functions of the parameter K (= 2sinθ/λ) and ΔK (= βcosθ/λ). K K C OK2C Here, the parameter α is dependent on the crystallite size. The parameter φ and O are constants but the O-value is much smaller than the φ-value. In the mWH plots in 60% cold rolled ferrite (Fe-0.0056%C), ultra low carbon martensite (Fe-18%Ni) and 20% cold rolled austenite (SUS316L), it was confirmed that the value of OK2C is negligibly small. As a result, the following simplified equation is applicable for the analysis by mWH method. K K C

Original languageEnglish
Pages (from-to)2354-2356
Number of pages3
Journalisij international
Volume58
Issue number12
DOIs
Publication statusPublished - Dec 1 2018

Fingerprint

Diffraction
Anisotropy
Crystallite size
Martensite
Austenite
Ferrite
Carbon
X rays
Wavelength
SUS 316L

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Metals and Alloys
  • Materials Chemistry

Cite this

Proposal of simplified modified Williamson-Hall equation. / Takaki, Setsuo; Masumura, Takuro; Tsuchiyma, Toshihiro.

In: isij international, Vol. 58, No. 12, 01.12.2018, p. 2354-2356.

Research output: Contribution to journalArticle

Takaki, Setsuo ; Masumura, Takuro ; Tsuchiyma, Toshihiro. / Proposal of simplified modified Williamson-Hall equation. In: isij international. 2018 ; Vol. 58, No. 12. pp. 2354-2356.
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