Full length articleAcquisition of partial grain orientation information using optical microscopy
Graphical abstract
Introduction
Optical microscopes are among the most ubiquitous characterization tools in research laboratories. They are often the simplest and most immediate choice for imaging the surface of many different materials. In polycrystals, optical microscopy (OM) may be used to characterize the geometry and distribution of microstructural features with dimensions of ∼1 μm and above [1], such as crystal grains [2], precipitates [3], or cracks [4]. However, many elements of polycrystalline microstructures—such as the crystallographic orientations of grains or features with dimensions well below ∼1 μm—cannot be directly assessed through OM. To characterize such quantities—which are pivotal to interpreting and predicting material properties—researchers usually rely on electron microscopy (EM), even though it is much more resource-intensive than OM [5], [6].
We show that computationally-driven, quantitative analysis of surface reflectance enables quantitative assessment of polycrystalline microstructures and markedly extends the range of microstructure information that may be obtained via OM. In particular, we demonstrate the acquisition of partial grain orientation information through the characterization of sub-micron surface roughness using OM. While OM cannot replace EM for fundamental microstructure studies, our techniques present a clear advantage over EM for rapid, inexpensive analyses of large surface areas without the need for high vacuum.
Electron backscatter diffraction (EBSD) is an EM-based technique which is routinely employed to perform quantitative metallography measurements [5] and to map grain crystallography [7]. Being able to perform EBSD-like measurements using OM would offer many advantages in the study of materials structure. In fact, capturing an optical micrograph is orders of magnitude faster than acquiring an EBSD scan and requires simpler, less expensive equipment. OM generally has a larger field of view than EM and thus may be used to characterize surfaces of much larger area than EBSD. Moreover, OM measurements may be carried out in water or air and do not require vacuum. Thus, characterization of polycrystalline microstructures by OM has the potential to enable routine, facile, and high-volume microstructure data acquisition [8]. It may be employed as a non-destructive technique to improve material reliability, for instance by assessing microstructure variability of as-processed components, or by monitoring the temporal evolution and integrity of ones already in service.
The hallmark of our method is measurement of the intensity of the reflected light as a function of both sample microstructure and incident light direction. For this reason, we name our method directional reflectance microscopy (DRM). We use a custom-made apparatus that allows controlling the light source orientation with respect to the imaged sample and we analyze the collected optical micrographs using MATLAB. We compare our DRM measurements with EBSD analyses using polycrystalline pure nickel (Ni) as a case-study material. We demonstrate that DRM may be used to perform quantitative metallography measurements—such as measurement of grain statistics—as well as to assess microstructural characteristics that are usually only resolvable by electron or X-ray techniques—such as sub-micron differences in surface roughness and partial crystallographic grain orientation information.
Section 2 describes sample preparation and the development of the apparatus used in our work. The remainder of the paper is divided into two main parts. In the first (section 3), we describe how to construct a DRM dataset and how to use it for quantitative microstructure analysis. We show that grain statistics obtained by DRM are more accurate than ones found by conventional EBSD analysis, in some cases. In the second part (section 4) we demonstrate the capability of DRM to characterize crystallographic orientation of grains by quantifying grain reflectance variations as a function of the incoming light direction. We conclude with a discussion of our findings in section 5.
Section snippets
Experimental
The Ni sample used in this study was produced from melting high purity Ni pellets (99.995%) into a 30 g master ingot. An 8 mm thick disc was cut from the master ingot using wire electrical discharge machining. The disc underwent a series of rolling and annealing cycles until its thickness was reduced to ∼1 mm and it was then cut into a 1.5 cm × 1.8 cm chip. Each cycle consisted of a 50% thickness reduction, fine grinding using 1200 grit paper, and annealing at 1300 °C for 30 min in 99.999% pure
Quantitative microstructure analysis
In this section, we describe how to perform DRM measurements and how to process the optical micrographs to quantify several microstructural features, including the complete grain boundary network and the grain size distribution.
Assessing microstructural information from DRPs
This section discusses how to use DRPs to characterize the surface structure across the entire polycrystalline sample, infer partial grain orientation information, and quantify surface roughness. To this end, we first need to understand the origin of grain reflectance anisotropy.
Discussion
DRM is a promising OM technique to assess the structure and crystallography of polycrystalline materials by quantifying their surface reflectance. At present, DRM may be used to automatically characterize the GB network and the grain size distribution of large planar samples, sometimes with greater accuracy than EBSD. It can also quantify variations in sub-micron surface roughness and infer {101} crystallographic textures in pure thermally-etched Ni. However, DRM is material-agnostic and may be
Acknowledgments
The authors would like to acknowledge A. Lai for carrying out AFM measurements, I. McCue for sample preparation, and M. Tarkanian for manufacturing the goniometer used for DRM measurements. This work was supported by the US Department of Energy, Office of Basic Energy Sciences under Award No DE-SC0008926. Access to shared experimental facilities was provided by the MIT Center for Materials Science Engineering.
References (42)
- et al.
Quantitative metallography of recrystallization
Acta Mater.
(1997) Image distortions in SEM and their influences on EBSD measurements
Ultramicroscopy
(2007)The influence of surface energy on thermal etching
Acta Metall. Mater.
(1958)- et al.
Mechanism of deformation and development of rolling textures in polycrystalline fcc metals. 1. Description of rolling texture development in homogeneous cuzn alloys
Acta Metall. Mater.
(1988) - et al.
Wettability versus roughness of engineering surfaces
Wear
(2011) - et al.
A comparison between three-dimensional and two-dimensional grain boundary plane analysis
Ultramicroscopy
(2002) Twinning-related grain boundary engineering
Acta Mater.
(2004)- et al.
The role of grain boundaries on fatigue crack initiation - an energy approach
Int. J. Plast.
(2011) - et al.
The equilibrium crystal shape of nickel
Acta Mater.
(2011) - et al.
Modeling radiative transfer in heterogeneous 3-D vegetation canopies
Remote Sens. Environ.
(1996)