3.2. Sputtering and Deposition Rates
An increase in power usually causes an increase in the energy of bombarding Ar ions leading to a higher sputtering rate and consequently higher thickness [
35]. The effect due to the change in substrate temperature may not however show a meticulous increasing trend due to the interplay between the growth process and the stress factor due to coefficient of thermal expansion (CTE) differences [
47]. The depositions of the Si-C-N coatings were carried out at different pressures in this case showing a higher deposition rate in the range 1Pa-5Pa compared to the other higher and lower pressures, and adjustments in deposition time were done to get coatings of similar thickness. The thickness measurement was performed from a step obtained using a surface profilometer at the interface between the coated and uncoated substrate. The step height was the thickness of the coating.
The lower deposition rate at higher and lower pressure was due to more ion-electron collisions at higher pressure that had neutralized as the mean free path (λ = kT) was smaller (T is the temperature which was room temperature and k is the Boltzmann constant). The Knudsen number (K
n= λ/L) is less than 1 in these cases. The quantity L is the distance traversed by the adatom before getting deposited on the substrate, during which they interact among themselves by collision leading to a drop in intensity by a factor of exp (-K
n) as per Beer Lambert Law. The mean free path is related to the sputtering pressure P and the molecular diameter Da of the sputtering gas (372 pm for Ar) as λ
/(PDa
2), where T is the deposition temperature Therefore, at lower pressure, the mean free path being large leads to less ionization of the plasma and hence less removal of target atoms (reduced sputtering). A similar effect was found with an increase in temperature [
48].
The depositions of the Si-C-N coatings were done at six different substrate temperatures, room temperature (RT), 100, 200, 300, 400, 500, 600 °C at 1 Pa pressure, and 400W RF power. The different deposition rate with deposition conditions is given in
Table 2 and plotted in
Figure 1e,f with the conditions showing the highest hardness marked. The deposition rate was found to decrease with an increase in temperature. The reason is graphitization being dominant over amorphous or near amorphous growth at the enhanced temperature of 600 °C. The films were deposited at 1 Pa pressure, A change in pressure might therefore also change the temperature at which this phenomenon is taking place, The sputtering time was varied to get coatings of comparable thickness (~4
μm). The lower deposition rate at higher and lower pressures was due to more ion-electron collisions at higher pressure that had neutralized as the mean free path was smaller and at lower pressure, the mean free path was larger which led to less ionization of the plasma and hence less removal of target atoms. The rise in substrate temperature-induced surface and interface phenomena like carbon diffusion, nucleation of sp
3 carbon (diamond), and coating-substrate interfacial stress while the change in pressure is related to the gaseous kinetics involving collisions between gas molecules, ions, and sputtered atoms. A model related to all these aspects of sputtering has been recently reported [
48].
3.3. Nucleation & Growth
The effect of nitrogen was found to be significant while investigating the effect of pressure Although an initial increase in nitrogen pressure helped in the formation of Si3N4 and C3N4, its higher percentage led to the formation of the graphitic phase due to nitrogen desorption. A certain range of argon-nitrogen pressure in the range of 1–5 Pa was identified to be giving films with smaller particle size, lower roughness, and higher hardness as reported.
The heterogeneous crystallization with formation to near amorphous nanocrystallites and of larger dimensions can be seen in the TEM image along with the ring pattern observed in the SAED pattern. An initial increase in substrate temperature led to a transition from the nc-graphitic phase to amorphous carbon which reacted with Si and N and eventually formed the amorphous Si-C-N matrix. At higher temperatures, nucleation of nanosized crystallites of hard phases of
β-Si3N4 and
β-C3N4 occurred in the amorphous Si-C-N matrix (
Figure 2a–c). The crystallite size varied between 2 to 20 nm on varying the substrate temperature from RT to 500 °C. However, on a further rise in temperature to 600 °C, an increase in the growth of the carbon phase due to the desorption of nitrogen at higher temperatures occurred, which led to a decrease in hardness [
41,
42,
43]. The contrast of the images was changed to get a clear image of some of the structural features like twins as marked in the images inside a large crystallite which aroused due to strain getting developed in the film during film growth. The growth phenomena can be understood if we look at the corresponding SAED patterns given as insets for each of the cases. A ring pattern with bright spots along the circumference implies the initiation of nucleation of growth of crystallites on an amorphous base at RT. The bright spots are the diffraction spots coming from a set of planes. Stacking faults were observed as marked in the image with a circle. The nucleation and growth get intensified as the deposition temperature is increased evident from the higher intensity of the diffraction spots and not being dedicated to a circular pattern. This shows the co-existence of different phases at a time which is the prerequisite for a nanocomposite. The deviation from the circular nature gets even higher for a further temperature rise. The SAED pattern can be found to partially resemble a spot pattern to some extent. This shows the texture of the coating departing from its nanocrystalline nature and preferably getting inclined towards graphite which lowers the hardness as expected and observed. The patterns were inverted and analyzed with different contrast and brightness. The ring patterns depicting nanocrystalline
β-SiC and Si
3N
4 on an amorphous (a-Si-C-N) along with graphitic phases can be observed in
Figure 3a. The ring patterns were not continuous and looked like made up of broken lines indicating in homogenous size distribution of the crystallites as also evident from the microscopic image. No spot pattern was found even changing the pictorial parameters showing the crystallization to be in its nascent stage. At 500 °C where the highest hardness was observed, the ring patterns got fewer in numbers but more intense. These were due to the formation of nanocrystalline phases of
β-C3N4 and to some extent diamond. These phases mainly grew on sp
2 carbon domains The spot patterns observed in changing the contrast and brightness were due to larger crystallites of sp
3 C (diamond) and sp
2 C (graphite) (
Figure 3b). The ring patterns were formed due to nanocrystalline graphite, got lowered in number as well as intensity at 600 °C, and spot patterns of graphitic phase due to larger graphitic crystals got prominent. The amorphous fraction also increased compared to the previous case (
Figure 3c). This indicates preferential crystal growth of mainly graphite due to increased surface carbon diffusion which needs a thermodynamical perspective and shall be explored in due course.
3.4. The 4-Stage Model Based on Deposition Pressure
The Raman spectra of Si-C-N coatings deposited at different substrate temperatures are shown in
Figure 2d. The spectra have been deconvoluted and discussed in detail previously [
42]. The transition from one carbon form to another leading to the variation in hardness and modulus is due to the variation in
sp2/sp3 carbon percentage and results in a shift in G (graphitic) and D(disorder) peak position and intensity. In the spectra for RT deposition, a G band position at 1571 cm
−1 and a D band position at 1350 cm
−1 are observed which corresponds to nc-graphite. The origin of these peaks is related to the total optic modes of graphite which is a sum of different modes as given in Equation (1).
The E2g modes are Raman active and are observed at 42 and 1581 cm−1. The A2u and E1u are IR active and observed at 867 and 1588 cm−1. The B2g modes are optically inactive. The E-symmetry modes have in-plane atomic displacement while the A and B modes have out-of-plane displacements
On increasing the temperature further, the crystallite size continues to lower further which results in the disappearance of the nc-graphitic phase and the formation of
a-Si-C-N. The prominent separation between the D and G positions, which is the evidence of graphitization, gradually decreases with an increase in temperature and almost a single band formation at 1500 cm
−1 occurs at 400 °C. This corresponds to the formation of
sp3 hybridized
ta-C in the form of nucleation and growth of
β-C3N4 crystallites in the
a+Si-C-N matrix. This results in an upper shift of the G band position as observed in the spectrum for coating deposited at 500 °C. The microstructural and structural changes discussed above on increasing the substrate temperature. At 600 °C however, a further increase in the G band position was observed. This is due to the growth of carbon crystallites and the formation of the
nc-graphitic phase. An abnormal graphitization has also been reported for polymer-derived (PD) SiCN [
49]. All these phenomena led to a 4-stage model based on the well-known 3-stage model by Tuinstra, J. L. Koenig [
50] as shown in
Figure 2e. The formation of nanocrystalline phases at different combinations of process parameters and their effect on the film hardness was also understood by FTIR spectra and Nanoindentation as shown in
Figure 2f,g [
43].
The FTIR peaks between 500–900 cm
−1 were due to Si-C, Si-Nand C-N. The signatures of C=N were conformed by peaks at 1250 and 1750 cm
−1. The peaks at 2200 and 2800 cm
−1 were due to C≡N and C≡C respectively. The C-N bonds representing β-C
3N
4 caused the high hardness. A temperature rise was found to induce a higher percentage of C-N and C=N bonds which however decreased on increasing the temperature further to 600 °C, as the excess C got involved in C=C and C≡C bond formation resulting in graphitic phase formation causing a decrease in hardness. A higher pressure caused increased collisions between the adatoms and gas molecules also causing a decreased C-N percentage in the films [
40].
Because carbon diffusion increases with temperature, it is quite likely that the crystallites generated are those of graphite, as determined by the Raman Spectra for a temperature change from 500 °C to 600 °C. The D peak, as previously stated, is caused not only by defects but also by the presence of carbon with various hybridizations—sp
3(C-C) and sp (C≡C). The crystallite size also plays an important role, as evidenced by highly referenced papers. [
50,
51] The G peak was discovered to provide a wide range of location and intensity (relative to the D peak) alterations. The greatest movement in the G peak location was discovered at 500 °C, where it was observed at 1500 cm
−1, causing a shift of around 100 cm
−1 from the spectra observed at lower temperatures which is equivalent to 198.6 × 10
−23 J. A difference in the intensity of the D peak was prevalent. The initial diminishing followed by the sudden reappearance indicated amorphization followed by nucleation of near amorphous ultra-fine crystallites. At this stage, the coating has a unique combination of hard phases of β-SiC, Si
3N
4, CNx (α, β C
3N
4), and even a fraction of sp
3 carbon which in totality can be called diamond-like nanocomposite (DLN) coatings. The hardness being inversely proportional to the I
D/I
G ratio was very high in this case [
52]. The I
D/I
G is used for the determination of sp
2 domains (L
sp2, nm), average defect distance (L
D. nm), and defect density (n
D, cm
−2) as per the following Equations (1)–(3) [
53]. where the terms E
L (in eV) and λ
L (in nm) are the energy and wavelength of the Laser source associated with the Raman spectrometer which was 2.33 eV and 532 nm as also mentioned in
Section 2. The I
D and I
G terms mentioned are the integral intensity ratios that have been used to determine the parameters as given in
Table 3. However, a qualitative analysis has been made using the height ratios as shown in the diagram. The sp
2 domain size was 19 nm till 300 °C, increased to about 25 nm at 500 °C, and then again decreased to 14 nm at 600 °C. The average defect distance was again 14 nm initially, increased to 19 nm, and decreased to 10 nm. The defect density was 3 × 10
11 cm
−2 which reduced to 2.25 for 500 °C and again then increased to 4 for 600 °C. The parameters obtained from the height ratio therefore although having ambiguity in the values obtained for the initial temperatures, follow the same trend as that of the integral ratio values.
Interestingly from the relations above the increase of the sp
2 carbon domain causing the Occurrence of a concurrence with the diminished D peak at 500 °C can be seen. This is contrary to the hardness value trend we obtained. The explanation of the above fact can be proposed as follows. We must understand that there are other phases of Si-C and C-N as well which are also getting affected as we are changing the temperatures. The sp2 domain may therefore consist of near amorphous ultrafine nucleation of crystallites of these hard phases and to some extent diamond (sp
3 C) as well. The shift of the G-peak towards lower wave numbers is evidence of higher amorphic nature [
50]. The doublet D-G spectra are known as one photon spectra. The D and G arise due to breathing and stretching modes respectively in a hexagonal unit cell of carbon. The other modes associated with different bonding configurations can be found in ref [
54]. The overtones around 3000 cm
−1 which are called the 2D or G + G’ peaks in some instances are also known as two phonon spectra that occur due to electron density delocalization. The 2D peaks did not reveal themselves for the 500 °C indicating the existence of feeble electrical anharmonicity [
55]. The possibility of the diamond phase percolating considering the high pressure in the vacuum chamber causes an inevitable increase in hardness. A rise in temperature causes graphitization, as the absorbed thermal energy is transferred to the internal crystal lattice of the diamond, it rearranges itself into graphite where a change in the potential energy surface by electrons in the crystal lattice may also be present [
56]. It is also evidence of the formation much softer graphitic phase due to obtaining the D and G peak positions for graphite bearing its signature.
The deposition condition of 500 °C and 1 Pa N
2-Ar pressure gives the highest hardness due to the formation of nan Ocrystallites like SiC, Si
3N
4, and even β-C
3N
4 giving a high hardness of 22 GPa from nanoindentation which can be considered sufficiently high taking into consideration the high sharpness of the Berkovich Indenter (cone angle ~ 70.3°). The Raman spectra of SiCN coatings deposited at different pressures are shown in
Figure 4a–d. The deconvolution of the peaks was done and the ratio of the integral intensities corresponding to tetrahedral (I
T), disorder (I
D), and graphitic (I
G) was platted concerning change in pressure forming a 3-stage model based on pressure as done previously based on temperature [
42]. The I
T/I
G ratio indicating the ratio of sp
3/sp
2 carbon ratio was high in 1 Pa, reduced a bit for 5Pa and again increased with 10 Pa. This ratio showed that the formation of diamond-like carbon (DLC) phases was high in the case of 1 Pa pressure. The reason for the slight lowering of the ratio can be found in the phase diagram of SiCN (
Figure 1a). The I
N/I
G ratio showed an increase with an increase in pressure to 1 to 5 Pa due to the formation of higher nitrogen-based phases like Si
3N
4 and C
3N
4. The ratio showed a decrease at a higher pressure of 10 Pa due to a decrease in the mean free path caused by the enhanced collision rate of the sputtered adatoms with the N
2 gas molecules. The I
D/I
G ratio was also the lowest in the case of 1 Pa pressure. All these observations lead to the fact that 1 Pa is the optimized pressure for SiCN coatings as also observed earlier [
42,
43].
3.5. Microstructure
Image analysis of the TEM pictures revealed the nucleation and growth process involved during the deposition of the thin films. A reduced grain size results in enhanced mechanical properties. However, an extreme reduction in size, like the ones observed in the TEM image of coatings deposited at 500 °C showing crystallites of very small size (< 5 nm) may result in a decrease in mechanical strength due to
inverse Hall-Petch relation. The image profile of the microstructure area of 600 nm
2 marked (inset) is shown in
Figure 5a. It should however be kept in mind that nucleation and growth are two separate phenomena. After the crystallites have nucleated, atomic migration makes them coalesce to form larger crystals and eventually grains, and it is the grain size
d that matters for the applicability of the Hall-Petch relation. The crystallites observed to form are surrounded by smaller crystallites that have reached them by the migrating as indicated in the image. The process of this migration has also left trails as observed in the form of linear vacancy created. The atomic migration eventually will form grains, evidence of which can also be seen in the marked by broken lines. The line profile of one of the nucleated crystallites is shown separately. The figure was inversed to get upward peaks for the growth regions’ which were further deconvoluted into multiple peaks indicating small crystallites. These are regions adjacent to the main crystallites, where agglomeration of crystallites has taken place but has not undergone coalescence due to insufficient energy for atomic migration. The agglomeration caused by atomic vibration often leaves voids [
57] These voids may be the epicenters of stress intensification and can cause crack generation and brittle failure. Post-deposition annealing may get rid of the voids to some extent and relieve the built-up interfacial stress. One may argue that a higher substrate temperature during deposition may be adopted instead. However, the hardness shall get compromised in that case as the growth of softer graphitic carbon (sp
2) due to the excess carbon as shown in
Figure 1b will enhance [
42].
The surface profile of the image for RT deposition showed the peaks to be relatively higher in intensity indicating the effect of high temperature to be causing major atomic diffusion to create a homogenous distribution of the crystallites leading to lower and flatter intensity peaks distributed over different areas as marked (
Figure 6a). The line profile of the stacking faults showed an average spacing of about 20 nm. (
Figure 6b). For films deposited at 600 °C, the line profile of the large crystallite of 300 nm size is given in
Figure 6a. The profile of the twins formed is shown separately with measured spacings (
Figure 6b).