skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Full elastic strain and stress tensor measurements from individual dislocation cells in copper through-Si vias

Journal Article · · IUCrJ
 [1];  [2];  [3]
  1. National Institute of Standards and Technology, Gaithersburg, MD (United States)
  2. National Institute of Standard and Technology, Gaithersburg, MD (United States)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)

We report non-destructive measurements of the full elastic strain and stress tensors from individual dislocation cells distributed along the full extent of a 50 mm-long polycrystalline copper via in Si is reported. Determining all of the components of these tensors from sub-micrometre regions within deformed metals presents considerable challenges. The primary issues are ensuring that different diffraction peaks originate from the same sample volume and that accurate determination is made of the peak positions from plastically deformed samples. For these measurements, three widely separated reflections were examined from selected, individual grains along the via. The lattice spacings and peak positions were measured for multiple dislocation cell interiors within each grain and the cell-interior peaks were sorted out using the measured included angles. A comprehensive uncertainty analysis using a Monte Carlo uncertainty algorithm provided uncertainties for the elastic strain tensor and stress tensor components.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1248965
Journal Information:
IUCrJ, Vol. 2, Issue 6; ISSN 2052-2525
Publisher:
International Union of CrystallographyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

References (16)

The Race to X-ray Microbeam and Nanobeam Science journal December 2011
Polychromatic X-ray microdiffraction studies of mesoscale structure and dynamics journal February 2005
Formation and Subdivision of Deformation Structures During Plastic Deformation journal May 2006
Direct determination of elastic strains and dislocation densities in individual subgrains in deformation structures journal June 2007
Submicrometre-resolution polychromatic three-dimensional X-ray microscopy journal December 2012
Three-dimensional X-ray structural microscopy with submicrometre resolution journal February 2002
Elastic Properties of Metals and Alloys. II. Copper journal October 1974
Using X-ray microbeam diffraction to study the long-range internal stresses in aluminum processed by ECAP journal December 2013
Validating classical line profile analyses using microbeam diffraction from individual dislocation cell walls and cell interiors journal March 2012
Disordered long-range internal stresses in deformed copper and the mechanisms underlying plastic deformation journal August 2011
X-ray microbeam measurements of individual dislocation cell elastic strains in deformed single-crystal copper journal July 2006
Synchrotron-based measurement of the impact of thermal cycling on the evolution of stresses in Cu through-silicon vias journal June 2014
A Detailed Failure Analysis Examination of the Effect of Thermal Cycling on Cu TSV Reliability journal January 2014
X-ray microbeam measurements of long-range internal stresses in commercial-purity aluminum processed by multiple passes of equal-channel angular pressing journal December 2014
Strain-tensor components expressed in terms of lattice parameters journal January 1978
Spatially resolved Poisson strain and anticlastic curvature measurements in Si under large deflection bending journal June 2003

Cited By (4)

Unexpected δ-Phase Formation in Additive-Manufactured Ni-Based Superalloy journal January 2016
Evaluation of intragranular strain and average dislocation density in single grains of a polycrystal using K-map scanning journal September 2016
Stress, strain and Raman shifts journal February 2019
High Resolution Mapping of Orientation and Strain Gradients in Metals by Synchrotron 3D X-ray Laue Microdiffraction journal March 2019