1. Introduction
Silicon carbide (SiC) has attracted significant attention in recent years owing to its outstanding electrical, mechanical, and thermal properties. As a result, SiC is commonly employed in many fields due to its incorporation into power devices and optoelectronics [
1,
2,
3,
4,
5]. Over 200 SiC polytypes are known to exist, with cubic (3C-SiC) and hexagonal (4H-SiC or 6H-SiC) −modified compounds being the most commonly used; these structural differences significantly influence the electrical properties and potential applications of each polytype. Among the various SiC polytypes, the cubic (3C-SiC) and hexagonal (4H-SiC or 6H-SiC) structures are the most commonly studied and used [
2,
6,
7].
For example, 4H-SiC is known to exhibit a high-breakdown electric field at room temperature, in addition to high thermal conductivity and a wide bandgap [
8,
9]. A number of SiC polytypes also exist that exhibit high process temperatures and chemical stabilities, among which 4H-SiC is the most widely used in power electronic applications [
10]. Commercial SiC may be classified as either conductive SiC or high-purity semi-insulating SiC. In the case of high-purity semi-insulating SiC, almost no impurity dopant atoms are present, thereby accounting for the colorless nature of 4H-SiC, which is treated to remove all impurities. More specifically, commercial 4H-SiC is colorless due to its wide band gap, which prevents absorption over the wavelength range of visible light. However, upon doping conductive SiC with N, P, Al, or B to generate additional energy levels [
11], absorption occurs in the visible light region. In addition, doped SiC crystals are known to exhibit unique color characteristics, wherein the SiC crystal color becomes darker upon increasing the concentration of impurity elements [
12]. Moreover, 4H-SiC single crystals are mainly grown using the slow physical vapor transport (PVT) approach [
13,
14], which leads to different crystal colors in the initial and final states of crystal growth. With these considerations in mind, it is clearly important to establish an analytical approach for monitoring this color change and to determine the mechanism behind this phenomenon in 4H-SiC crystals under different impurity concentrations. This is of particular importance in the context of process control and failure analysis for the obtained SiC crystals.
Thus, to investigate the structural properties and spatial distributions involved in the discoloration of 4H-SiC single crystals, discoloration switching is performed, and the formation of linear-type micro-pipe defects is evaluated during two different growth periods, namely the initial (Case I) and final (Case II) growth periods. Considering these two growth periods, the characteristics of the 4H-SiC single crystals obtained by PVT are examined using gas discharge mass spectrometry (GDMS), micro-Raman spectroscopy, X-ray diffraction (XRD), photoluminescence (PL) spectroscopy, magnetic sector secondary-ion mass spectrometry (magnetic sector-SIMS), and time-of-flight secondary ion mass spectrometry (ToF-SIMS).
2. Materials and Methods
2.1. Preparation of 3C-SiC as a Precursor Material
The 3C-SiC (cubic silicon carbide) powder was synthesized in a customized furnace via a chemical vapor deposition (CVD) process, which included vaporization, pyrolysis, nucleation, oxidation–reduction, and substitution. Subsequently, it was reacted with granules at a high temperature [
15]. The precursor gas comprised commercial methyltrichlorosilane (MTS) as the silicon precursor, as well as ammonia (NH
3) and carbon dioxide (CO
2). Ethylene (C
2H
4) and propane (C
3H
8) were used as hydrocarbon precursors due to their easy decomposition ability under high-temperature conditions.
A mixture of H
2 and Ar was employed as the carrier gas. The color of the synthesized 3C-SiC was black, indicating the presence of impurities or defects in the material. The 3C-SiC powder was crushed and milled using specially developed equipment to minimize contamination. The residual acid salt was removed by volatilization, and any excess oxygen present in the SiC was removed through denitrification under heating at 105 °C under reduced pressure in an argon environment. All other impurities present in the synthesized SiC were eliminated through the decarburization method by heat treatment at 850 °C for 1 h under oxygen atmosphere conditions to give a dried 3C-SiC powder with a purity of >90% [
15,
16]. The method for removing excess oxygen present in 3C-SiC powder was explained in detail as follows. There are some impurities in the 3C-SiC powder synthesized by the CVD process, such as excess oxygen, free carbon, and free silicon compounds (F-Si or F-SiO
2). These by-products were removed through acid leaching, decarburization, and esterification. Firstly, the free silicon compounds were eliminated through acid leaching purification by using the mixed hydrochloric acid solution with a sodium catalyst. Thereafter, in the case of decarburization purification, the 3C-SiC powder was treated through thermal treatment by passing oxygen gas in order to remove CO
2.
Then, the residual oxygen was purified by the OH substitution of acid through esterification at 105 °C on a hot plate [
15,
16]. Subsequently, the obtained powder was sieved through a 100 µm mesh to remove the fine and coarse particles. The synthesized 3C-SiC powder was also subjected to chemical pretreatment to remove any impurities introduced during the synthesis.
The elemental composition of the 3C-SiC powder was obtained using gas discharge mass spectrometry (GDMS), as listed in
Table 1, and a purity of 99.999% was confirmed. The XRD patterns of the 3C-SiC powder showed peaks corresponding to 3C-SiC (β-SiC phase), as shown in
Figure 1. The peaks at 35.7°, 41.2°, 59.9°, and 71.6° are attributed to the (111), (200), (220), and (311) planes of the β-SiC phase, respectively [
15,
16,
17,
18].
2.2. Growth of 4H-SiC Single Crystals Using the PVT Process
The 4H-SiC single crystals were grown from the 3C-SiC source powder using PVT [
15], as outlined in
Figure 2a and
Figure 3. To grow 4H-SiC single crystals, the 3C-SiC powder was placed on the graphite crucible in the PVT reactor chamber. Crystal growth was conducted under an inert gas environment, wherein a 4H-SiC crystal ingot was grown by sublimation of the powder in the heated PVT reactor crucible. Detailed experimental conditions for the growth of the 4H-SiC single crystals using PVT as shown in
Table 2.
More specifically, the growth of a single crystal was conducted under high-temperature conditions of 2300 °C and a pressure of 35 Torr in the presence of an argon/nitrogen gas mixture (99.96% purity). The injected argon gas flow rate was controlled using a mass flow meter. To maintain a stable gas pressure of 35 Torr during crystal growth, a mechanical pump was adjusted according to the required argon gas flow rate. The seed lid was attached to the top of the graphite crucible containing the 4H-SiC substrate. Crystal growth was allowed to proceed over 30 h with an average growth rate of ~1400 μm/h. After completion of the growth and cooling stages, the 4H-SiC crystal ingot was detached from the graphite crucible and sliced parallel to the c-axis direction. Subsequently, the sliced 4H-SiC was polished and cut perpendicular to the c-axis for analysis.
Figure 2b shows a cross-sectional diagram of the 4H-SiC single crystal’s growth. The elemental composition of the grown 4H-SiC single crystals was obtained using GDMS (see
Table 1), and a purity of 99.999% was confirmed.
Figure 4a,b presents photographic and optical images (under light-emitting diode (LED) illumination), respectively, recorded for the surface of a sliced 4H-SiC single crystal. Under LED illumination, the sliced 4H-SiC single crystal appeared to be divided into two color regions, namely Case I (bright, near side) and Case II (dark, external side). Detailed experimental conditions and parameters for the identification of the sliced 4H-SiC single crystals are presented in
Table 3.
2.3. Analysis and Characterization
The elemental compositions of the prepared 3C-SiC powder and the grown 4H-SiC single crystal were determined using gas discharge mass spectrometry (GDMS; Element GD Plus GD-MS, Thermo-Fisher Scientific, Waltham, MA, USA). Prior to the measurement, each sample was treated to produce a flat surface through sequential grinding, cutting, and polishing. An ionization power range of 30–50 W was applied for the trace element analysis.
The crystal orientations of the 4H-SiC single crystal were evaluated using multifunction X-ray diffraction (XRD; PANalytical, Malvern, UK) and high-resolution two-dimensional (2D) XRD (D8 Discover, Bruker, MA, USA) at the Korea Basic Science Institute (KBSI, Daegu, Republic of Korea). To acquire the diffraction planes for the major and minor XRD peaks, XRD spectra were measured over the θ–2θ range using multifunction XRD with Cu Kα radiation at 30 mA and 40 kV.
The structural phase and preferential orientation of all samples were performed using a Raman spectrometer (Renishaw, Wotton-under-Edge, UK) with a 514 nm laser as the excitation source. The Raman spectra detection was acquired over the wavenumber range of 200–2000 cm−1 with a four-stage Peltier-cooled CCD detector (UV-Vis-NIR range). The objective lens of the microscope (DM500, LEICA, Wetzlar, Germany) had a magnification of 50×, and the exposure time for accumulation was 5 s. The power intensity of the laser beam was 5.0 ± 0.1 mW in the exposure time for accumulation, which was 5 s.
The photoluminescence (PL) spectra were obtained at both 298 K and 50 K using a PL spectrometer (LabRAM HR Evolution, Horiba, Kyoto, Japan) equipped with a He–Cd laser as the excitation source (wavelength = 325 nm, power = 0.15–15 mW). The power density of the used laser ranged from 0.023 to 23.6 kW cm−2 for measurement. The laser was focused on the sample using a 50× objective lens.
To quantitatively monitor the elemental depth distribution in the 4H-SiC single crystal, magnetic sector secondary-ion mass spectrometry (magnetic sector-SIMS; IMS-6f, Cameca, France) was employed. For the magnetic sector-SIMS measurements, the 12C14N− secondary ions were acquired using a cesium ion (15 kV), while the 11B+ and 27Al+ secondary ions were acquired using oxygen ions (7.5 kV) at a high mass resolution. Oxygen (32O2+, 10 keV) was applied as the sputtering ion source for the detection of the secondary ions. The primary ion was rastered over an area of 200 × 200 μm2, and the secondary ion signal was recorded from the central part of this area (~60 μm diameter). After the magnetic sector-SIMS depth profiling was completed, the formed crater depth was measured using a stylus profiler. A constant erosion rate was assumed for the conversion of the sputtering time to the corresponding depth.
To analyze the component distributions on the micro-pipe defect surfaces of the Case I and Case II 4H-SiC crystal samples, time-of-flight secondary ion mass spectroscopy (ToF-SIMS; IonTOF 5, ION-TOF, Münster, Germany) was used to measure both the positive and negative-ion modes under high-current bunching conditions. The pressure in the analysis chamber was maintained at a very low vacuum level below 1 × 10−9 Torr. The voltage and Bi1+ ion current were 30 kV and 1 pA, respectively. The negative-ion and positive-ion mass spectra were acquired from a 500 × 500 µm2 area using a Bi1+ (1 pA) primary ion beam operating at 30 keV. The mass resolution of the measured spectra was measured under high-resolution conditions of 8000 or more at a mass-to-charge ratio (m/z) of 29Si. To prevent surface charging during the ToF-SIMS measurements, a flood gun of low-energy electrons was used.
To further analyze the component distributions on the micro-pipe defect surfaces, ToF-SIMS images were recorded using the burst alignment mode, with Bi3+ primary ions operating at a voltage and ion current of 30 keV and 0.6 pA, respectively. The ToF-SIMS images were acquired over an area range of 500 × 500 µm2 in both the negative-ion and positive-ion modes.
In addition, to investigate the vertical distributions of the components in the depth direction for the Case I and Case II samples, the sputter raster was set at 150 × 150 mm2, and the secondary ions were detected using ToF-SIMS with a depth profile mode based on an area of 50 × 50 mm2 centered within the sputtered region. A pulsed electron flood source was employed for charge compensation.
For the negatively charged secondary ions, the depth profile was measured using Cs+−sputtering ions operating at a voltage and ion current of 3 keV and 37 nA, respectively. The depth profile of the positively charged secondary ions was measured in the non-interlaced analysis mode using O2+ primary ions at a voltage and ion beam current of 2 keV and 310 nA, respectively.
3. Results
Figure 5a,b shows the XRD patterns and X-ray rocking curves of the Case I and Case II 4H-SiC single crystals in the (0004) direction, wherein it can be seen in
Figure 4a that all samples prepared by PVD were preferentially grown along strong (004) planes. In this figure, the XRD peaks observed at 35.6°, 38.1°, 43.2°, 49.7°, 57.2°, 65.7°, and 74.9° were attributed to the (004), (012), (013), (014), (015), (016), and (017) planes of the 4H-SiC phase, respectively [
15,
16,
19]. All peaks were in good agreement with ICSD card 98-016-4971. In addition, the full width at half-maximum (FWHM) values for the two (0004) X-ray rocking curves exhibit similar values below 0.01°, thereby indicating that both 4H-SiC specimens are highly crystalline.
The Raman spectra of the grown 4H-SiC crystals are shown in
Figure 6a,b, wherein the two characteristic peaks of 4H-SiC, corresponding to the transverse optical (TO) phonon, were detected at ~778 and 797 cm
−1 [
5,
20,
21,
22,
23,
24]. For the Case I (bright) crystals, the TO peak observed (FTO, E
2) at 781 cm
−1 in the perpendicular orientation was split into a doublet at 777 and 783 cm
−1, indicating that the 4H-SiC structure of the single crystal did not change, but the preferred orientation of the (0001) plane changed [
24,
25]. In Case II (dark), the TO peak (FTO, E
2) was observed at 781 cm
−1 in the parallel orientation, and no splitting was evident. In the early stages of growth (Case I), the FTO peak intensity initially weakened prior to strengthening again in the final growth stage (Case II) until the crystal’s growth was complete. The Raman spectra presented in
Figure 6b for cases I and II were recorded with the incident laser oriented parallel to the c-axis.
Based on the obtained experimental results, it was apparent that all samples maintained the 4H-SiC structure [
24]. For the Case II (dark) specimen, the folded TO peak (FTO, E
2) recorded in the perpendicular orientation at 781 cm
−1 was split into a doublet at 777 and 783 cm
−1 [
24]. Considering the displacement of atoms from their original positions in the lattice, it was evident that this splitting occurred perpendicular to the change in the rotational c-axis of the defect [
24].
Table 4 summarizes the detailed assignment and origin of the Raman peaks with respect to three different sample conditions. This splitting occurred perpendicular to the change in the rotational defect to the c-axis, considering the displacement of atoms from their original positions in the lattice [
24].
Figure 7a shows the PL emission spectra measured at room temperature (298 K) with a 325 excitation source for sample cases I and II. For all samples, the obtained PL spectra showed a wide non-gaussian symmetric peak at 533 nm. This PL peak corresponds to nitrogen–boron (N–B), which originated from the N–B donor–acceptor pair (DAP) emission [
21,
22]. The luminescence emissions displayed in these spectra are directly correlated with energy-level transitions of semiconductors. Thus, the recombination of DAPs in the 4H-SiC crystals containing an indirect bandgap leads to the formation of free excitons and phonons. This type of recombination introduces a complex donor-acceptor recombination mechanism, indicating the potential of the impurity concentration to impart a critical influence on the luminescence emissions [
26,
27,
28].
Figure 7b shows the PL spectra measured at a low temperature of 50 K for specimen cases I and II. In all samples, the nitrogen–aluminum (N–Al) and N–B DAP emissions were also detected and were confirmed at 420 and 580 nm, respectively [
26,
27,
28], with the highest peak intensity being observed for the N–Al DAP emission of Case II. In addition, the N–B DAP emission peak intensity was high for Case I, suggesting an increase in the N–B DAP density at low temperatures [
26,
27,
28]. Moreover, the peak intensity of the N–B DAP emission increased with an increasing nitrogen concentration. As shown in
Figure 7b, Case I (bright) exhibits a weak PL peak at 370 nm in the low-temperature spectrum, which was attributed to the nitrogen emission caused by nitrogen-bounce excitation [
26,
27,
28]. In contrast, the N–Al DAP emission was observed at 420 nm in Case II due to the effect of a visible emission at 533 nm that was caused by luminescence quenching [
26,
27,
28].
To better clarify the correlation between the impurities and the PL behavior, magnetic sector-SIMS depth profiling was performed to identify the trace impurity concentrations of B, Al, and N with two different samples of cases (a) I and (b) II. As outlined in
Figure 8 and
Table 5, the concentration of each impurity was converted into atoms cm
−3, and the donor–acceptor recombination ratios (RDAs) of C
D−A and 2C
B/(C
N − C
B) were calculated using Equation (1) [
15,
21,
22], wherein the B, Al, and N concentrations are defined as C
B, C
Al, and C
N, respectively. The parameter C
D−A was calculated as a function of C
B − (C
Al − C
N) [
16] to give the values listed in
Table 5.
In Case II (dark), the increase in the PL intensity of the N–B DAP originates from an increase in the RDA of C
D−A [
15]. Considering that the DAP recombination rate is an efficient measure of the emission luminescence [
29,
30,
31,
32], and the RDA is proportional to the donor concentration (C
D) and the acceptor concentration (C
A), the correlation between the C
D, C
A, and PL properties can be evaluated, as described previously [
21]. The increased N–B DAP peak intensity for Case II was, therefore, attributed to an increase in C
N. Aukerman and Millea’s model [
30,
31,
32] suggests that the correlation between DAP recombination and concentration causes the PL intensity to increase with an increase in the difference between C
N and C
B; this is known as the N–B concentration gap. More specifically, when the N–B concentration gap is larger than C
B, saturation occurs, whereas when the N–B concentration gap is more than twice C
B, the PL emission intensity decreases due to the presence of non-radiative defects (non-emission), as evidenced in Case II [
29]. For Case II, at a high Al concentration (C
Al), the N–B and N–Al DAP emissions at 420 nm became weaker [
15]. As shown in
Figure 8 and
Table 5, for Case I, the concentrations of B, N, and Al were calculated to be 1.29 × 10
17, 3.49 × 10
19, and 5.49 × 10
14 atoms cm
−3 respectively, whereas in Case II, the corresponding concentrations were 1.99 × 10
16, 4.04 × 10
19, and 1.05 × 10
16 atoms cm
−3, respectively. From these results, it is clear that the concentrations of N and Al were higher in Case II than in Case I. The 2C
B/(C
N − C
B) value was calculated to compare the correlation between the N–B concentration and PL [
15,
29].
For all samples, the peak intensity of the N–B emission at 580 nm decreased in the PL spectra, as shown in
Figure 7a,b. It indicates that the N impurity has been substituted with carbon atoms within the SiC lattice; that is, these substitutions trapped the impurity levels within the bandgap of the material, and then, the impurity levels act as trap states for charge carriers (electrons and holes) and make it difficult for them to transition between the impurity levels to a non-radiative emission of 580 nm owing to the electron–hole pair recombination, resulting in discoloration and luminescence quenching.
For the Case II sample, the calculated value of 2C
B/(C
N − C
B) was 0.001 less than 0.01, meaning a weak visible emission at a wavelength of 580 nm. The presence of Al and N impurities in the hexagonal lattice of the SiC results in a blue emission peak that is derived from N–B DAP emission quenching. This emission peak means that the impurity concentrations of N, B, and Al have an influence on N–B DAP emission quenching in 4H-SiC [
15].
To investigate the linear-type micro-pipe defects of the 4H-SiC surface, the different surface component distributions were analyzed using ToF-SIMS for the Case I 4H-SiC single crystal.
Figure 9a,b shows the ToF-SIMS images obtained for the micro-pipe region of the crystal using the ToF-SIMS fast-imaging mode. For Case I, strong Na
+, Al
+, and K
+ peaks were detected in the micro-pipe defects using the positive-ion mode (
Figures S1 and S2), whereas Cl
− was detected with high intensity in the negative-ion mode (
Figures S3 and S4). It was therefore confirmed that the impurities of Na, Al, K, and Cl were highly distributed in the micro-pipes defect region of Case I’s surface. However, no micro-pipe defects were observed on Case II’s surface due to the expected distribution of impurities throughout the SiC species. It was considered that this occurred via diffusion at the high-temperature conditions employed during the final stage of crystal growth (
Figure S5).
To clarify the different spatial distributions in the depth direction, ToF-SIMS depth profiling was performed for Case I and Case II’s 4H-SiC single crystal specimens, as presented in
Figure 10a,b. More specifically, from
Figure 10a, it can be seen that the impurities of Case I were distributed only on the SiC surface, compared to Case II (
Figures S1 and S2). These results are consistent with the fast image results presented in
Figure 9. Thus, the Na, K, Al, and Ca impurities penetrated SiC and were distributed throughout the structure for Case II, as shown in
Figure 10b.
Figure 11a,c shows the ToF-SIMS negative-ion depth profiling results of 4H-SiC single crystal specimens with respect to the Cases I and II. More specifically, as shown in
Figure 11c, the highest SiC
2− content was detected in Case I, indicating that during this initial stage of crystal growth, the specimen is richer in carbon than during the latter stages (i.e., Case II). In
Figure 11d, it can be seen that this higher carbon content can be attributed to an increase in SiC
2. It was therefore considered that this carbon species may be associated with the micro-pipe defects observed in the Case I specimen. Indeed, during the PVT process, the 3C-SiC precursor powder was sublimated to generate vaporized species, such as Si, Si
2C, and SiC
2, which exist in a silicon-rich and carbon excess, as indicated in Equation (2) [
33,
34,
35]:
Since these vapor species are initially desorbed during the growth process, the surface of the grown SiC ingot becomes carbon-rich, as shown in
Figure 11. At this time, when a metal cation with a large atomic radius, such as Ca, comes into contact with the C or Si-rich species, impurity substitution in the SiC crystal lattice can lead to the generation of stress or discoloration [
33,
34,
35]. We suggested a method to reduce impurity substitution. Firstly, in the case of the metal impurities, the metal soluble acid salts (MCl
3 and MNO
3) in the 3C-SiC powder were purified through a catalytic reaction using hydrochloric acid and esterification (CH
3ONO + H
2O) [
15,
16]. Secondly, in the case of the effect of the C/Si ratio related to the N impurity, when the C/Si ratio increases, the N impurities incorporation into a 4H-SiC crystal can be reduced by site competition rules [
35]. Additionally, to maintain the C-rich conditions, the growth surface of the 4H-SiC seed was placed on the C face, in which the N molecule was very weakly adsorbed.