Characterization of Austenite Microstructure from Quenched Martensite Using Conventional Metallographic Techniques and a Crystallographic Reconstruction Procedure

: Recently, procedures for recovering austenite fcc crystallographic information from EBSD (Electron Back-Scatter Diffraction) data recorded from martensite or other bcc transformation products have been proposed. Due to the difﬁculties in revealing prior austenite grain boundaries using available etching techniques, these reconstruction methods appear as promising tools for understanding austenite hot deformation behavior in low carbon steels. In a previous work, the accuracy of an in-house developed reconstruction code was validated using an Fe-30Ni alloy. Validation of this method in low carbon steels is more difﬁcult due to the loss of austenitic orientation information. In addition, it is not known how the results of conventional metallography correlate with those of the reconstruction or which scan parameters or post-processing treatments are necessary for obtaining comparable results. To study this, two martensitic specimens obtained from water quenched recrystallized and deformed austenite were characterized in this study, using both conventional metallographic techniques and the above mentioned reconstruction procedure applied to EBSD scans acquired using different parameter values. The comparability of austenite grain size and morphology was analyzed as a function of the post-processing treatment. The results show that in order to obtain comparable results, it is critical to analyze the coherence of the twins present in the microstructure.


Introduction
In recent decades, the evolution of austenite microstructure during hot deformation in low carbon steels has been widely studied. Grain size, strain accumulation levels, and the crystallographic orientation of austenite before phase transformation can all affect the final room temperature microstructure of the steel [1][2][3] and, correspondingly, the properties of the final product. Therefore, knowledge of the austenite microstructure evolution during hot deformation is required in order to aim to improve the parameters of the thermomechanical control process (TMCP). Very often, indirect methods such as the analysis of strain-stress curves are used to characterize austenite hot deformation behavior [4,5]. The characterization of the austenite in carbon steels is especially difficult due to phase transformation during cooling. Although several etching techniques have been developed to reveal the austenite microstructure from quenched martensite [6,7], they are often ineffective, mainly in the case of low carbon steels [8]. Moreover, their ability to reveal some special grain boundaries is selected for the present study due to the fact that they present a good etching quality in revealing the previous austenite grain boundaries from quenched martensite. Most of the analysis was carried out on a recrystallized sample of Al1 steel produced in an interrupted torsion test. The torsion specimen consisted of a gauge geometry that was 7.5 mm in diameter and 16.5 mm in length. The applied thermomechanical cycle included a reheating treatment at 1250 • C for 15 min, followed by a cooling down to 950 • C, where a deformation pass (ε = 0.35, . ε = 1 s −1 ) was applied and the specimen was held at this temperature for 185 s. This duration was calculated so as to obtain a statically recrystallized microstructure based on previous double-hit torsion tests [19]. After the holding time, the specimen was water quenched. A deformed Al1Nb3 specimen was also analyzed. This specimen was also produced in torsion, following a multipass deformation sequence based on a hot rolling schedule to produce a plate with a final thickness of 50 mm [19,25]. The sequence includes four deformation passes to simulate roughing (deformation temperatures from 1200 • C to 1149 • C and six deformation passes to simulate finishing (deformation temperatures from 927 • C to 860 • C), followed by water quenching to produce a martensitic microstructure. After finishing, a deformation accumulation level of approximately ε ∼ = 0.8 was obtained. Detailed information on the deformation sequence can be found in Table 6 of Reference [19] (930 • C-50 mm schedule). After being water quenched, both specimens were prepared for EBSD and metallographic analysis. The characterization was carried out on the sub-surface section, which corresponds to 0.9 times the outer radius of the torsion specimen (see the experimental setup in Figure 1). For the EBSD analysis, the samples were prepared by using standard mechanical polishing procedures that ended with a polishing step in a colloidal silica solution. Orientation imaging was performed using a FEG-SEM JEOL JMS 7100F (Jeol Ltd., Tokyo, Japan) equipped with a NORDLYS II camera and HKL Channel 5 operating at 10 kV. In the case of the recrystallized Al1 martensitic sample, three EBSD maps were acquired using a square grid, using step sizes 0.5 µm, 1 µm and 1.5 µm and scan areas from 350 × 350 to 900 × 900 µm 2 . The time for scan acquisition was approximately similar in the three cases ( ∼ =12 h), and the scan areas were adjusted as a function of the step size, keeping the rest of the scan parameters constant. In the case of the deformed Al1N3 specimen, one single EBSD scan using a step size of 1 µm and an area of 500 × 500 µm 2 was performed. Standard grain dilation cleaning procedures were applied to the scan data obtained from the martensitic microstructure. TSL OIM Analysis 5.31 [26] software (EDAX, Mahwah, NJ, USA) was used to perform all post-processing of scans and of the reconstruction crystallographic data obtained from an in-house developed method [18] and from reconstruction data. After each scan, the specimens were prepared again using conventional metallographic techniques, etching in a picric acid water solution with a wetting agent (Bechet-Beaujard etching [6]) to reveal the austenite grain boundaries, and examined using optical microscopy. In the case of the recrystallized sample, the grain boundaries revealed by etching were traced manually and converted into a jpg image using the GIMP program (2.8.14, http://www.gimp.org/) [27]. Next, using LAS v.45 [28] software (Leica Microsystems, Wetzland, Germany), the area of each grain was calculated and then an equivalent diameter was assigned to each grain, which was the diameter of the circle with an equal area. The average of all the diameters measured is known as the mean equivalent diameter (MED). using optical microscopy. In the case of the recrystallized sample, the grain boundaries revealed by etching were traced manually and converted into a jpg image using the GIMP program (2.8.14, http://www.gimp.org/) [27]. Next, using LAS v.45 [28] software (Leica Microsystems, Wetzland, Germany), the area of each grain was calculated and then an equivalent diameter was assigned to each grain, which was the diameter of the circle with an equal area. The average of all the diameters measured is known as the mean equivalent diameter (MED).   Figure 2 shows the ND (Normal Direction, see Figure 1) inverse pole figure (IPF) maps obtained from the martensitic sample quenched from recrystallized austenite using different step and scan sizes; in Figure 3, the optical micrographs of approximately the same areas obtained after etching with picric acid are represented. Figure 2 shows that as step size decreases, the martensitic microstructure can be characterized with greater detail, although a smaller area is analyzed when using similar scan acquisition times. After the sample is etched with picric acid, a microstructure of approximately equiaxed grains is revealed. Although the etching quality is good in all three cases, slightly better results can be observed in the case of Figure 3a,c. Some microstructural heterogeneity is also evident in these two micrographs. The same phenomenon was observed in the initial microstructure obtained after soaking at 1250 • C (average and maximum grain sizes were 98 and 513 µm, respectively), and as shown in the micrographs, this heterogeneity was not removed after deformation and full recrystallization at 950 • C.

Recrystallized Microstructure
It can also be noted from Figure 3 that, after etching, some of the boundaries show a weaker contrast, and that in some cases they do not close to define grains (see examples marked by arrows in Figure 3a,b). As a result, some ambiguity in the grain size determination can be expected. For clarity, the sketches used for grain size measurements from the optical micrographs have been included in Figure 4, together with the MED results for the three optical micrographs. As shown in the picture, the grains that make contact with the outer border of the micrograph were excluded from the measurement. The smallest average grain size was obtained in the case of Figure 3a, MED = 33.6 ± 11.0 µm. This can be attributed to the small area selected for analysis, which leads to a low number of grains (34) contributing to the measurement and to the exclusion of some of the coarsest ones as border grains. In the case of Figure 3b,c, larger average values, MED = 54.6 ± 7.8 µm and MED = 46.7 ± 4.4 µm, respectively, were determined, and the number of grains measured increased to 87 and 229 grains. Figure 5a shows the IPF ND map obtained from the martensitic sample quenched from deformed austenite. The corresponding optical micrograph obtained from the same area after picric acid etching is shown in Figure 5b. The optical micrograph shows that, as expected from the deformation schedule, before quenching a pancaked austenite microstructure was produced. Although some of the grain boundaries are only partially revealed, Figure 5b mainly shows deformed austenite grains elongated in the plastic flow direction. In addition, the optical micrograph shows boundaries whose morphology appears to be delineating twins or other features related to the deformation microstructure. using similar scan acquisition times. After the sample is etched with picric acid, a microstructure of approximately equiaxed grains is revealed. Although the etching quality is good in all three cases, slightly better results can be observed in the case of Figure 3a,c. Some microstructural heterogeneity is also evident in these two micrographs. The same phenomenon was observed in the initial microstructure obtained after soaking at 1250 °C (average and maximum grain sizes were 98 and 513 μm, respectively), and as shown in the micrographs, this heterogeneity was not removed after deformation and full recrystallization at 950 °C.  It can also be noted from Figure 3 that, after etching, some of the boundaries show a weaker contrast, and that in some cases they do not close to define grains (see examples marked by arrows in Figure 3a,b). As a result, some ambiguity in the grain size determination can be expected. For clarity, the sketches used for grain size measurements from the optical micrographs have been included in Figure 4, together with the MED results for the three optical micrographs. As shown in the picture, the grains that make contact with the outer border of the micrograph were excluded from the measurement. The smallest average grain size was obtained in the case of Figure 3a, MED = 33.6 ± 11.0 μm. This can be attributed to the small area selected for analysis, which leads to a low number of grains (34) contributing to the measurement and to the exclusion of some of the coarsest ones as border grains. In the case of Figure 3b,c, larger average values, MED = 54.6 ± 7.8 μm and MED = 46.7 ± 4.4 μm, respectively, were determined, and the number of grains measured increased to 87 and 229 grains.   (c) Figure 3. Optical micrographs of the martensitic sample quenched from recrystallized austenite revealed by Bechet-Beaujard etching [6] in the areas corresponding to the EBSD scans of Figure 2. (a) 350 × 350 μm 2 ; (b) 800 × 700 μm 2 ; and (c) 900 × 900 μm 2 . In (a,b), the arrows represent boundaries which show weaker contrast and/or which do not close to define grains.   Figure 5a shows the IPF ND map obtained from the martensitic sample quenched fro deformed austenite. The corresponding optical micrograph obtained from the same area after picr acid etching is shown in Figure 5b. The optical micrograph shows that, as expected from th deformation schedule, before quenching a pancaked austenite microstructure was produce Although some of the grain boundaries are only partially revealed, Figure 5b mainly shows deforme austenite grains elongated in the plastic flow direction. In addition, the optical micrograph show boundaries whose morphology appears to be delineating twins or other features related to th deformation microstructure.   Figure 5a shows the IPF ND map obtained from the martensitic sample quenched from deformed austenite. The corresponding optical micrograph obtained from the same area after picric acid etching is shown in Figure 5b. The optical micrograph shows that, as expected from the deformation schedule, before quenching a pancaked austenite microstructure was produced. Although some of the grain boundaries are only partially revealed, Figure 5b mainly shows deformed austenite grains elongated in the plastic flow direction. In addition, the optical micrograph shows boundaries whose morphology appears to be delineating twins or other features related to the deformation microstructure.

Application of Reconstruction Procedure
The reconstruction model employed in this article is a fully automated in-house code developed at Ceit using MATLAB (Release 2013b, The MathWorks Inc., Natick, Massachusetts, MA, USA) [29]. A detailed description of the program and reconstruction parameters can be found in Reference [18]. The program is mainly based on the principles of the parent austenite reconstruction approach proposed by Cayron et al. [14] and Germain et al. [10] for the fcc to bcc γ →  phase transformation

Application of Reconstruction Procedure
The reconstruction model employed in this article is a fully automated in-house code developed at Ceit using MATLAB (Release 2013b, The MathWorks Inc., Natick, MA, USA) [29]. A detailed description of the program and reconstruction parameters can be found in Reference [18]. The program is mainly based on the principles of the parent austenite reconstruction approach proposed by Cayron et al. [14] and Germain et al. [10] for the fcc to bcc γ → α phase transformation in steels and previously developed for the bcc to hcp β → α phase transformation for Ti and Zr alloys by Humbert et al. [11][12][13]. The original crystallographic data are first treated and divided into crystallographic domains, which are defined as sets of adjacent pixels misoriented from neighbor to neighbor at less than a critical angle, θ [10]. The reconstruction procedure is divided into two steps: "γ nuclei identification" and "γ nuclei spreading". In the "γ nuclei identification" routine, the code takes all the bcc crystallographic domains and compares their average orientations with those corresponding to their neighbors. The objective is to identify parent orientations which are consistent with the majority of the domains (within a tolerance angle ω 0 ) and exclude the rest from the solution. The calculated austenite parent orientations are considered valid if a minimum number of different bcc orientations, N v , is contributing to the solution, and if the ratio between the number of neighbor domains contributing to the most probable solution and the number of neighbors contributing to the second most probable solution is higher than a given value. In the next routine, "γ nuclei spreading", the code seeks to assign an fcc orientation to those domains which were not identified during the previous step through a comparison with the austenite orientations already calculated for neighboring domains, using a tolerance angle ω 1 . More detailed information about the procedure can be found in Reference [18].
The effect of the different parameters on the reconstruction performance was discussed in a previous work [18]. It was observed that the efficiency of the code decreased significantly when using the Kurdjumov-Sachs orientation relationship. However, similar results were obtained when the Greninger-Troiano, Miyamoto [16] or an optimized orientation relationship were employed. Therefore, the orientation relationship reported by Miyamoto et al. [16] for a low 0.15% C steel was employed here. For the rest of the parameters, values that lead to a good reconstruction performance for recrystallized microstructures were applied: θ = 3.5 • , N v = 4, PR = 1.5, ω 0 = 3.5 • , and ω 1 = 8 • [18]. Figure 6 shows IPF ND maps obtained from the reconstructed austenite. It can be observed that in the four cases large reconstructed area fractions were obtained (>95%). The lowest reconstructed area fraction corresponds to the deformed sample; of the recrystallized microstructures, this was slightly lower in the case of the 1.5 µm step size scan. Although a modification of the reconstruction parameters (for example, increasing ω 1 or decreasing N v ) could lead to even larger reconstructed area fractions, the parameters were kept constant for the analysis of the results.
Comparing the austenite reconstructed IPF orientation maps in Figure 6 and the optical micrographs in Figures 3 and 5b seems complex at first glance. In many cases, we observed that within a grain revealed by picric acid etching, there are differently oriented austenite regions. In some cases the morphology of these zones made it possible to identify them as twinned regions. In addition, in the case of the recrystallized sample, careful inspection of the optical micrographs shows that some of the grain boundaries that are weakly revealed by the chemical etching are separating differently orientated austenite regions. These boundaries were not included in the optical grain size measurements (see sketches in Figure 4). This is the case even for some of the grain boundaries in Figure 3 which do not close to delimit grains (see arrows in Figure 3a,b). Figure 6 shows IPF ND maps obtained from the reconstructed austenite. It can be observed that in the four cases large reconstructed area fractions were obtained (>95%). The lowest reconstructed area fraction corresponds to the deformed sample; of the recrystallized microstructures, this was slightly lower in the case of the 1.5 μm step size scan. Although a modification of the reconstruction parameters (for example, increasing or decreasing ) could lead to even larger reconstructed area fractions, the parameters were kept constant for the analysis of the results. Comparing the austenite reconstructed IPF orientation maps in Figure 6 and the optical micrographs in Figures 3 and 5b seems complex at first glance. In many cases, we observed that within a grain revealed by picric acid etching, there are differently oriented austenite regions. In some cases the morphology of these zones made it possible to identify them as twinned regions. In addition, in the case of the recrystallized sample, careful inspection of the optical micrographs shows that some of the grain boundaries that are weakly revealed by the chemical etching are separating differently orientated austenite regions. These boundaries were not included in the optical grain size measurements (see sketches in Figure 4). This is the case even for some of the grain boundaries in Figure 3 which do not close to delimit grains (see arrows in Figure 3a,b).

Recrystallized Microstructure
The reconstructed austenite maps shown above reveal a large number of misoriented areas within the boundaries revealed by the picric acid. Chemically etching the austenite from quenched martensite using picric acid is complex and has been shown to lead to variable results depending on

Grain Boundary Character
The reconstructed austenite maps shown above reveal a large number of misoriented areas within the boundaries revealed by the picric acid. Chemically etching the austenite from quenched martensite using picric acid is complex and has been shown to lead to variable results depending on the solvent and wetting agents [7]. In some studies, the susceptibility of grain boundaries to etching has been related to phosphor segregation [8], although the factors resulting in this effect are not clear and other elements may also contribute. As suggested by Bernier et al. [9], highly ordered or coherent grain boundaries are likely to show a low concentration of segregated elements and therefore be the most resistant to etching. In austenite, the most abundant type of special boundaries are ∑3 annealing twins, which can form during recrystallization or grain growth [30] and can therefore be expected to be present in the analyzed microstructures. For the fcc crystal structure, the primary recrystallization twin can be described as a 60 • rotation around the <111> crystal axis. However, for a twin to be coherent, a second condition must be fulfilled: the boundary plane must coincide with the twinning plane. This means that the {111} planes on either side of the boundary must be aligned with the boundary plane. Unfortunately, EBSD scans are 2-dimensional, and the plane of the boundary cannot be determined from the crystallographic data [31]. However, several criteria have been proposed to assess the coherence of twins from orientation imaging data. The less restrictive criterion was proposed by Brandon [32] and consists in applying an angular tolerance from the exact CSL (Coincident Site Lattice) misorientation (60 • degree rotation around the <111>), such that it can be accommodated by arrays of dislocations. For ∑3 this results in a tolerance angle of 8.66 • , although more stringent tolerance angle criteria have been proposed in other works [33]. Another second criterion for checking the coherence of the twin from the scan data is to verify that the {111} twin planes at either side of the boundary are common [34,35]. A third criterion for twin boundary coherence is that the boundary trace and the twin plane traces should coincide [31,[34][35][36]. Figures 7a and 8a show the unique grain color maps obtained using a tolerance angle for a grain boundary definition of 10 • from the reconstructed maps with a 0.5 µm and 1.5 µm step size, respectively, while Figure 7b,c and Figure 8b,c correspond to the same maps but exclude twins as grain boundaries. In the case of Figures 7b and 8b, the twins were defined as grain boundaries deviated from the exact CSL misorientation by less than 5 • . This is equivalent to applying Brandon's criterion, but using a slightly more restrictive angular deviation, one that is closer to those proposed by others [33]. The same grain tolerance has been employed in other studies to identify coherent twins [34]. In the case of Figures 7c and 8c, as well as the previous criterion, the alignment of {111} planes at either side of the boundary (with a tolerance angle lower than 1 • ) was imposed for twin boundary classification. To do this, the "Enforce matching between twin planes in grain A and grain B" option included in the twin boundary tab definition in the TSL OIM software [26] was used. As mentioned above, a third check consisting of matching the {111} plane traces and the grain boundary trace could be imposed. Unfortunately, our current version of EBSD analysis software (TSL OIM Analysis 5.31) (EDAX, Mahwah, NJ, USA) does not support the ability to reconstruct boundaries and therefore to perform this type of analysis in the case of square grid scans, so this was not considered. Nevertheless, it must be mentioned that Henrie et al. [34] found that the combination of the misorientation and twin boundary plane alignment criteria was sufficient for verifying the coherence of most twin boundaries.
It can be observed from both figures that the number of detected grains decreases significantly when the twin boundaries are excluded independently of the twin identification criterion used. At first glance, there is much better agreement between the grain boundaries revealed by picric acid etching (Figure 3a-c) and the grain size maps obtained by excluding the twins. It could be argued that the reconstruction procedure leads to the misindexing of some areas as twins, as has been observed in other cases when the Kurjumov-Sachs or the Nishiyama-Wasserman orientation relationships were applied [16]. However, in a previous study carried out with an Fe-30Ni alloy [18], in which the austenite microstructure was available to validate the reconstruction procedure, the ability of the software to reconstruct twin boundaries was verified and fake twinned regions were not observed in the reconstructed austenite microstructures. Miyamoto et al. [16] showed that the frequency of misindexed twins decreases significantly when an orientation relationship with martensite and austenite holding a non-parallel relation between close-packed planes, such as the one applied here, is used instead of the Kurjumov-Sachs or the Nishiyama-Wasserman orientation relationships. The calculated number of variants required for a valid identification (N v = 2 [16]) is in fact lower than the more restrictive criterion used in this research, N v = 4. Moreover, it can be observed from comparing the picric acid etched microstructures that some of the boundaries which do not close to delineate grains or which are fainter are in very good agreement with boundaries which are present in Figure 7a or Figure 8a but not in Figure 7b,c or Figure 8b,c (see examples marked with the black arrows in Figures 7 and 8). This indicates that there can be a significant number of twins in the austenite microstructure that are not revealed by etching (some examples have been marked with blue arrows in Figure 7a,d) and that cannot therefore be characterized using conventional metallographic techniques.
examples have been marked in Figure 7a with triangles). This indicates that applying the twin plane criterion results in more accurate grain boundary classification in some cases. However, some of the smallest grains present in Figure 7c, such as the grain marked with a circle in Figure 7a, are not revealed in the optical micrographs. Applying a larger tolerance angle for the twin plane criterion (3° instead of 1°) led to the inclusion of the encircled grain as a twinned region inside the larger one, as shown in Figure 7b. However, the same thing happens with the two grains marked by triangles. This shows that selecting a single criterion for an optimum match is difficult. Some uncertainty in the orientations determined from the reconstruction results is to be expected. In addition, the degree of incoherence necessary for the grain boundaries to be susceptible to etching is not known, and neither in fact is the question of whether the segregation of elements to boundaries (which is thought to be the factor enabling metallographic etching) is homogeneous within the sample.  There is good agreement between the austenite morphology obtained by metallography and the grain maps obtained from the reconstruction results that exclude twin boundaries. However, it is difficult to determine from the maps which of the two twin exclusion criteria is more comparable to the metallographic results. For example, in the case of Figure 7b some of the grains revealed by picric acid etching (Figure 3a) are not present, while these can be detected in Figure 7c (two obvious examples have been marked in Figure 7a with triangles). This indicates that applying the twin plane criterion results in more accurate grain boundary classification in some cases. However, some of the smallest grains present in Figure 7c, such as the grain marked with a circle in Figure 7a, are not revealed in the optical micrographs. Applying a larger tolerance angle for the twin plane criterion (3 • instead of 1 • ) led to the inclusion of the encircled grain as a twinned region inside the larger one, as shown in Figure 7b. However, the same thing happens with the two grains marked by triangles. This shows that selecting a single criterion for an optimum match is difficult. Some uncertainty in the orientations determined from the reconstruction results is to be expected. In addition, the degree of incoherence necessary for the grain boundaries to be susceptible to etching is not known, and neither in fact is the question of whether the segregation of elements to boundaries (which is thought to be the factor enabling metallographic etching) is homogeneous within the sample. To further confirm the nature of these boundaries as twins, the crystallography of the martensite at either sides of the boundary was in some cases also analyzed. The results are summarized in Figures 9 and 10. In Figures 9a and 10a the selected analysis areas have been marked over the ND IPF maps, and Figures 9b and 10b include the same data corresponding only to the selected zones. A comparison of the ND IPF maps with those in Figure 7 reveals the presence, within these areas, of grain boundaries which have been classified as twins and are not revealed by etching. The {001} pole figures obtained from these areas have been plotted in Figures 9d and 10d, including all the orientation data (points in black). In addition, in the pole figures, data at either sides of the grain To further confirm the nature of these boundaries as twins, the crystallography of the martensite at either sides of the boundary was in some cases also analyzed. The results are summarized in Figures 9 and 10. In Figures 9a and 10a the selected analysis areas have been marked over the ND IPF maps, and Figures 9b and 10b include the same data corresponding only to the selected zones. A comparison of the ND IPF maps with those in Figure 7 reveals the presence, within these areas, of grain boundaries which have been classified as twins and are not revealed by etching. The {001} pole figures obtained from these areas have been plotted in Figures 9d and 10d, including all the orientation data (points in black). In addition, in the pole figures, data at either sides of the grain boundary have been highlighted either in blue (left side) or in red (right side). To clarify the specific crystallographic data marked in each case, in Figures 9c and 10c the areas selected for the highlighting have been superimposed over the ND IPF maps using the same colors. It is interesting to note that, for both examples, data for each of the boundaries results in clearly differentiated pole figures. Moreover, there is a large similarity between these pole figures and those simulated by Germain et al. for martensite when this is transformed from twinned zones (see Figure 7a in [10]). Only a few crystallographic data deviate in the case of Figure 10d. This further confirms the nature of these grain boundaries as twins.

Grain Size Measurements
To obtain a more quantitative assessment, the grain size distributions obtained from the optical micrographs and the EBSD reconstructed maps for the three different scans are compared in Figures  11-13. The average MED values obtained in all cases are also included in the figures. In the reconstruction grain size measurements, a minimum grain size of 4 μm was considered, which corresponds approximately to the smallest grain size measured by optical microscopy, and border grains were excluded as in the case of conventional metallography. It can be observed that in the figures the grain size measurements have been compared as a function of the absolute number of grains. Although this is not a conventional method for grain size distribution representation, the fact that the distributions compared in each of the graphs were obtained from approximately the same specimen area must be taken into account, and that this is therefore preferred in this case since, in addition to comparing the shape of the distributions, it is possible to compare the number of grains detected in each of the measurements.
It can be observed from Figures 11a, 12a and 13a that, as expected from the above results, quantifying the grain size from the reconstructed austenite maps without excluding twins results in a significantly larger number of measured grains compared to the metallographic data and also results in smaller average grain sizes (23.6, 36.4 and 37.2 μm versus 33.6, 54.6 and 46.7 μm for 0.5, 1 and 1.5 μm step size scans, respectively). In contrast, when only one misorientation criterion is applied to exclude twin boundaries (Figures 11b, 12b and 13b), the number of grains measured from the reconstruction tends to be lower, and as a consequence, the average grain sizes are coarser than those measured by metallography (41.7, 65.6 and 55.9 μm for 0.5, 1 and 1.5 μm step sizes). This occurs especially for the 1.5 μm step size scan (Figure 13b). On the other hand, the three scans show excellent agreement for the average grain size values when the misorientation and twin boundary plane criteria are applied (36.3, 52.3 and 48.9 μm for 0.5, 1 and 1.5 μm step sizes, respectively). Regarding the grain size distributions, in Figure 11c the fit can be considered reasonable. A good correlation is also found in Figures 12c and

Grain Size Measurements
To obtain a more quantitative assessment, the grain size distributions obtained from the optical micrographs and the EBSD reconstructed maps for the three different scans are compared in Figures 11-13. The average MED values obtained in all cases are also included in the figures. In the reconstruction grain size measurements, a minimum grain size of 4 µm was considered, which corresponds approximately to the smallest grain size measured by optical microscopy, and border grains were excluded as in the case of conventional metallography. It can be observed that in the figures the grain size measurements have been compared as a function of the absolute number of grains. Although this is not a conventional method for grain size distribution representation, the fact that the distributions compared in each of the graphs were obtained from approximately the same specimen area must be taken into account, and that this is therefore preferred in this case since, in addition to comparing the shape of the distributions, it is possible to compare the number of grains detected in each of the measurements.
in the case of the smallest grains present in the microstructure. Although this may be optimized by varying the parameter of the reconstruction [18], it must be mentioned that this happened in very few examples, as can be seen from the visual comparison of Figures 4c and 8. Paradoxically in this case, since the etching quality was better (Figure 3c), it resulted in a higher number of "questionable" grain boundaries included in the sketch. This clearly reflects the dependence of the metallographic results on the etching quality.

Deformed Microstructure
In addition to determining the grain size in recrystallized samples, there is also an interest in characterizing deformed austenite microstructures. As shown in Figure 6d, for the deformed microstructure studied in this article, applying the reconstruction procedure resulted in a large reconstructed area fraction of 95%. Although, in this case, the grain size measurement was not conducted due to being more complex because of austenite pancaking, Figure 14 includes the unique grain color maps obtained from the reconstruction using a tolerance angle of 10° and applying the same criteria as above for grain boundary definition. At first glance, a good correlation is also observed between the reconstructed grain maps and the metallographic results. However, it is It can be observed from Figures 11a, 12a and 13a that, as expected from the above results, quantifying the grain size from the reconstructed austenite maps without excluding twins results in a significantly larger number of measured grains compared to the metallographic data and also results in smaller average grain sizes (23.6, 36.4 and 37.2 µm versus 33.6, 54.6 and 46.7 µm for 0.5, 1 and 1.5 µm step size scans, respectively). In contrast, when only one misorientation criterion is applied to exclude twin boundaries (Figures 11b, 12b and 13b), the number of grains measured from the reconstruction tends to be lower, and as a consequence, the average grain sizes are coarser than those measured by metallography (41.7, 65.6 and 55.9 µm for 0.5, 1 and 1.5 µm step sizes). This occurs especially for the 1.5 µm step size scan (Figure 13b). On the other hand, the three scans show excellent agreement for the average grain size values when the misorientation and twin boundary plane criteria are applied (36.3, 52.3 and 48.9 µm for 0.5, 1 and 1.5 µm step sizes, respectively). Regarding the grain size distributions, in Figure 11c the fit can be considered reasonable. A good correlation is also found in Figures 12c and 13c, although slightly opposite trends can be observed. In the case of the 1 µm step size scan (Figure 12c), the number of grains measured from the reconstruction tends to be larger than that from the metallographic measurement, especially in the range of the smallest sizes, while in the 1.5 µm step size scan ( Figure 13c) the opposite occurs. It must be mentioned that the differences are not large and are difficult to evaluate. However, in the case of the 1 µm step size, comparing the sketch used for the metallographic measurement to the reconstructed grain map revealed the presence of some small grains in the reconstruction which were only partially revealed by chemical etching. This can explain the larger number of small grains present in the reconstructed austenite grain size distribution. On the other hand, in the case of the 1.5 µm step size, some of the smallest grains were not reconstructed. This step size may be too large to resolve the minimum number of required variants for grain reconstruction in the case of the smallest grains present in the microstructure. Although this may be optimized by varying the parameter of the reconstruction [18], it must be mentioned that this happened in very few examples, as can be seen from the visual comparison of Figures 4c and 8. Paradoxically in this case, since the etching quality was better (Figure 3c), it resulted in a higher number of "questionable" grain boundaries included in the sketch. This clearly reflects the dependence of the metallographic results on the etching quality.

Deformed Microstructure
In addition to determining the grain size in recrystallized samples, there is also an interest in characterizing deformed austenite microstructures. As shown in Figure 6d, for the deformed microstructure studied in this article, applying the reconstruction procedure resulted in a large reconstructed area fraction of 95%. Although, in this case, the grain size measurement was not conducted due to being more complex because of austenite pancaking, Figure 14 includes the unique grain color maps obtained from the reconstruction using a tolerance angle of 10 • and applying the same criteria as above for grain boundary definition. At first glance, a good correlation is also observed between the reconstructed grain maps and the metallographic results. However, it is interesting to note that, in contrast with the results obtained in the recrystallized microstructure, the best visual match with the chemically etched microstructure is obtained for Figure 14a (twin boundaries not excluded) and Figure 14c (twin boundaries defined using misorientation and twin plane criteria). On the other hand, in Figure 14b (twin boundaries defined using only the misorientation criterion) some of the boundaries revealed by etching are not present, while coarser austenite units which are not observed in the optical micrograph are present. In the case of the recrystallized microstructure studied in the previous sections, the differences between the maps obtained when applying either of the two criteria used for excluding twins (misorientation or the misorientation and twin boundary criteria) were small compared with those obtained when considering all high angle boundaries as grain boundaries. However, in this deformed microstructure, the reconstructed austenite grain maps tend to be more similar in the case of Figure 14a,c. In this sample, applying the roughing passes at high temperature is expected to lead to successive cycles of recrystallization and grain growth, which are likely to result in the generation of a significant amount of coherent twins [30], such as the ones found in the recrystallized microstructure analyzed in the previous sections. In this type of recrystallized microstructure, coherent twin boundaries were in most cases correctly detected using either of the considered criteria. However, in this sample, during finishing the microstructure was deformed below the non-recrystallization temperature. This is likely to result in the rotation of the crystals at both sides of the twin boundaries. In principle, this should result in a failure of the {111} plane coincidence criterion. It is interesting to note that, in good agreement with this, most of the boundaries present in Figure 14c and not in Figure 14b are actually revealed using Bechet-Beaujard etching [6], which suggests that during the deformation, loss of twin boundary coherence is actually taking place. The progressive loss of twin boundary coherence during deformation has been observed experimentally in Fe-30Ni model austenitic steels analyzed by EBSD [37]. On the other hand, the less stringent application of the misorientation criterion only (Figure 14b) seems to lead to incorrect grain boundary classification for this deformed microstructure. a significant amount of coherent twins [30], such as the ones found in the recrystallized microstructure analyzed in the previous sections. In this type of recrystallized microstructure, coherent twin boundaries were in most cases correctly detected using either of the considered criteria. However, in this sample, during finishing the microstructure was deformed below the nonrecrystallization temperature. This is likely to result in the rotation of the crystals at both sides of the twin boundaries. In principle, this should result in a failure of the {111} plane coincidence criterion. It is interesting to note that, in good agreement with this, most of the boundaries present in Figure  14c and not in Figure 14b are actually revealed using Bechet-Beaujard etching [6], which suggests that during the deformation, loss of twin boundary coherence is actually taking place. The progressive loss of twin boundary coherence during deformation has been observed experimentally in Fe-30Ni model austenitic steels analyzed by EBSD [37]. On the other hand, the less stringent application of the misorientation criterion only (Figure 14b) seems to lead to incorrect grain boundary classification for this deformed microstructure.
(a) (b) (c) (d) Figure 14. Unique grain colormaps obtained from the deformed austenite microstructures applying the reconstruction procedure to the martensitic scan in Figure 5a using a tolerance angle for grain boundary definition of 10 • and different criteria for twin boundary exclusion: (a) All the high angle grain boundaries considered; (b) twins excluded (misorientation criterion (5 • tolerance)); (c) twins excluded (misorientation criterion (5 • tolerance) + {111} plane coincidence criterion (1 • tolerance angle)) and (d) optical micrograph. Black areas correspond to non-reconstructed regions.

Conclusions
-The austenite morphology and grain size measurements obtained by applying conventional metallographic techniques to reveal the previous austenite grain boundaries from quenched martensite (Bechet-Beaujard etching) were compared with the results of a reconstruction procedure applied to orientation imaging data collected from the same martensitic specimens, quenched from both recrystallized and deformed austenite. The austenite morphology revealed by both methods showed a good correspondence in the two microstructures investigated, although their comparability strongly depends on the criteria used for grain boundary definition in the reconstructed austenite maps. - In the case of the recrystallized microstructure, the reconstruction procedure showed the presence of a large number of coherent twin boundaries in the microstructure that were not revealed by chemical etching. Although the coherence of the twin boundaries cannot be completely assessed from the crystallographic recovered data, in this microstructure the application of misorientation or misorientation plus twin boundary plane criteria for twin boundary exclusion led to a good correspondence between the morphology revealed by metallographic methods and the reconstruction results. -A very good correlation between the average grain size and the size distribution determined by conventional metallography and the reconstruction method was observed when the grain boundary misorientation plus twin boundary coincidence criteria were used for twin boundary exclusion from the reconstruction measurements. On the other hand, considering all the reconstructed boundaries resulted in a large overestimation of the number of grains present in the microstructure compared to the metallographic results, as well as in an underestimation of the average grain size. Using only the misorientation criteria led to larger grain size than the optical MED. The effect on the results of varying the step size from 0.5 to 1.5 µm for EBSD acquisition was small, showing the ability of the reconstruction method to provide quantitative measurements in areas representative of the analyzed austenite microstructure. - In the microstructure quenched after applying several roughing and finishing passes, a good correspondence between the conventional metallography austenite morphology and the reconstruction results was also obtained when the misorientation and twin boundary criteria were used for twin exclusion from the grain size maps. However, in this case, the results were also comparable to considering all high angle grain boundaries for grain definition. This can be attributed to the loss in twin boundary coherence during the finishing deformation passes. However, the less stringent application of the misorientation criterion only led to an incorrect grain boundary classification and in some cases to the reunification of some of the deformed twinned regions which had lost coherence.