3.1. Octahedral Structure in SnO2
The
Figure 1a,b presents an SnO
2 framework composed of SnO
6 regular octahedrons. The octahedrons are connected by the way of the coupled common-edge (co-edge) oxygen to form the straight octahedral chains, and then the chains are assembled by common-point (co-point) oxygen to build a three-dimensional SnO
2 structure. The Sn atoms in the center of such SnO
6 regular octahedrons form a typical tetragonal-rutile lattice structure of SnO
2 (a = b = 0.4739 nm, c = 0.3187 nm, α = β = γ = 90°), in which its c-axis is along the octahedral chains, and a-axis is perpendicular to the octahedral chains in
Figure 1c. For the SnO
2 crystalline cell, the position of oxygen could be regarded as two kinds, O
1 (0.306a, 0.306a, 0) and O
2 (0.806a, 0.194a, 0.5c), just corresponding to the paired co-edge oxygen in octahedral chains and the single co-point oxygen among octahedral chains, respectively. It seems a common consensus that fluorine, as a typical incorporated element for SnO
2, would be a substitution for oxygen due to their similar geometric scale and physical characteristics. However, whether a selective priority exists in the replacement of the fluorine atom for the co-edge or co-point oxygen atom remains to be answered. It would be meaningful for this issue to be clearly revealed.
In
Figure 1g, as some the co-edge oxygen atoms are losing, the lack of the constraint in octahedral chains cause them to produce a drastically stretching transformation, and even break in the c-axis direction. It destroys the crystalline structure, causing the whole SnO
2 system to be in a high-energy disordered state. In
Figure 1d, as the position of the co-edge oxygen atoms are occupied by F atoms in pairs, due to the slight difference in the radius of fluorine and oxygen atoms, the octahedral chain would merely change in length along the c-axis direction. In this case, the neighboring octahedral chains could still keep some crystalline coherences. However, with the increasing substitution of co-edge O atoms by F atoms, the distortional energy caused by the forced coherences among octahedral chains would gradually accumulate. Then, at the position of co-point oxygen, the presence of oxygen vacancies, caused by the originally connected octahedral chains mutually dislocating along the c-axial direction, is more effective to relieve the high distorting energy than the enforcing occupation by F or O atoms. If some positions of co-point oxygen are occupied by F atoms, there would appear severe asymmetric distortion including the twist and contortion in regular octahedrons. Meanwhile, these octahedral chains would drastically lean and skew in the c-axis and a-axis directions, and then the asymmetric connection would create a high-energy SnO
2 system, as shown in
Figure 1h. Such competition and concession of fluorine and oxygen in the octahedral chains could not only be reflected on periodicity and perfection by XRD, but also be expressed on phonon vibration and electronical energy band structure by Raman and Photoluminescence, respectively, as analyzed below.
3.2. Expression of F&O Competition on Crystalline Plane
Figure 2a,b shows the XRD pattern of F-doped SnO
2 films prepared by the various doped F content, which reflects the destruction of periodicity and perfection that resulted from positional competition of fluorine with oxygen. As analyzed in
Section 3.1, the substitution of co-edge O atoms with F atoms in pairs would deteriorate the order and periodicity of the lattice in the c-axis direction due to the stretching of octahedral chains. Meanwhile, owing to the lack of co-point oxygen atoms, the non-connection and unconstraint among octahedral chains would further impair the periodic arrangement of octahedrons in the c-axis direction, and the crystalline cell also loses the stable squareness structure to transform into a rhombus, as shown in
Figure 1e. These two cases cause a relatively severe distortion of the lattice on c-axis than a-axis. In difference, the replacement of co-point O atoms by F atoms would lead to an almost identical distortion in the c-axis and a-axis. It means that periodic arrangements of the (110) and (101) crystalline planes were damaged to the same degree, as shown in
Figure 1c,f. Regardless of oxygen action, with the increase in the doped F content, while whole peak profile become weak in
Figure 2a,b, the (101) peak was more diffuse than the (110) peak, which illustrates that the periodic arrangement of c-axial direction in the SnO
2 lattice was more damaged. It corresponds to the fact that F atoms occupy the position of co-edge oxygen. In addition, the (101) peak of films prepared under the less oxygen atmosphere is more diffuse, further reflecting that after entering the lattice, F atoms prefer to substitute the co-edge oxygen to raise the disorder of (101) crystalline plane which is related to c-axis. Xu [
19] et al. also reported that the energy in F-doped SnO
2 is the lowest, as fluorine replaces oxygen located at (0.306a, 0.306a, 0), which just corresponds to co-edge oxygen in octahedral chains. Therefore, F atoms would be more likely to firstly occupy the position of co-edge oxygen.
Compared with the films prepared under the less oxygen atmosphere in
Figure 2a, all XRD peaks of the films deposited in the more oxygen atmosphere in
Figure 2b present a narrower profile, in which there is a greater intensity ratio of (101) to (110) peak with the increase in the doped F content. It not only implies that there are fewer fluorine atoms and oxygen vacancies in the films prepared in the more oxygen condition, but also further reflects that F atoms prefer to substitute the co-edge O atoms to affect the periodic arrangement of the (101) crystalline plane. Under the supplemental oxygen, complete octahedrons and their orderly arrangement would be improved. The more co-point O atoms build bridges among the octahedral chains to stabilize their connection, which effectively limits the possibility that octahedral chains will mutually dislocate and block the incorporation of fluorine. On the contrary, under a less oxygen condition, the lack of co-point O atoms causes an unstable connection among octahedral chains, so that more F atoms could replace co-edge O atoms. Therefore, it could be seen that the effective incorporation of F atoms for SnO
2 film significantly depends on the power of the oxygen action.
In
Figure 2a, under the more oxygen condition, as the doped F content is 2.5 at%, the profiles of the (110) and (101) peaks are the most diffuse. It is caused by both the incorporation of F atoms in co-edge position and the increase in oxygen vacancies caused by mutual dislocation of octahedral chains. As F atoms are further incorporated into the SnO
2 lattice (5 at%), the diffracted peak profile is the sharpest. Under the condition that the action of oxygen is stronger than that of fluorine, the competitiveness of fluorine was restricted so that fluorine would be likely to be squeezed to oxygen vacancies to release distorting energy in the lattice. It makes F atoms become a bridging-point to connect octahedral chains, and then re-build the stacking of octahedrons in three dimensions. After that, with the continuous increase in doped F content, the peak profile becomes broader. This implies that excessive F atoms are excluded by oxygen to the crystal boundary. Fluorine segregated at the crystal boundary is likely to interact with the crystal boundary to negatively affect the growth of crystal grains.
In contrast, for the film sputtered under the less oxygen condition, there is a monotonically decreasing peak intensity and a constant peak width in the XRD pattern as the doped F content is elevating in
Figure 2b. It demonstrates that the F atoms could be effectively incorporated into an SnO
2 lattice to occupy the position of the co-edge oxygen all the way because of the declining restriction of oxygen. The difference from fluorine competition between the two kinds of oxygen action demonstrates that oxygen could not only restrict fluorine from entering the film, but also determine the occupied order of the incorporated fluorine. It is worth noting that, under the two kinds of oxygen atmosphere in
Figure 2a,b, the (200) peak became more and more sharp with the increase in the doped F content since the lack of squareness degree of rutile has less of an impact on the interplanar distance of the (200) plane.
3.3. Presentation of Atom Vibration on F&O Competition
The Raman spectra of F-doped SnO
2 films with the elevating F content are presented in
Figure 2c,d. All spectra present the typical Raman vibration modes of pure phase SnO
2 with rutile structure. A
2g mode (~445 cm
−1) is attributed to the shearing vibration of O-Sn-O bond located at the diagonal plane in SnO
2 crystalline cell in
Figure 1i. B
2g mode (~775 cm
−1) ascribes to a simultaneous breathing-vibration of six Sn-O bonds in a SnO
6 octahedron, and A
1g mode (~630 cm
−1) is closely related to the stretching vibration of six Sn-O bonds whose four co-edge Sn-O bonds shrink/expand and the two co-point Sn-O bonds expand/shrink simultaneously [
20,
21], as shown in
Figure 1j,k. The strong peak near 568 cm
−1 is excited by oxygen vacancies with high concentration in SnO
2-based films [
22].
Regardless of level of oxygen action in
Figure 2c,d, during the preparation process of SnO
2 films, the shoulder peak at 630 cm
−1 to describe four/two stretching Sn-O bond vibration in
Figure 1j gradually becomes weak with the increase in the doped F content. Meanwhile, peak intensity of B
2g mode remains still unchanged, which is used to depict a synchronous breathing-vibration of six Sn-O bonds, as seen in
Figure 1k. The difference between A
1g and B
2g vibration mode caused by fluorine introduction indicates that the F atoms incorporated into the SnO
2 lattice either substitute co-edge or co-point oxygen. In combination with the above analysis of XRD from octahedral structure, F atoms would replace the co-edge oxygen instead of co-point oxygen.
In
Figure 2c,d, with the increase in the doped F content, the peak at 445 cm
−1 moves towards large wavenumber under the more oxygen condition, while it has no change under the less oxygen condition. The peak represents the shearing vibration of O-Sn-O bond in the diagonal plane of the SnO
2 crystalline cell, in which O atoms just correspond to co-edge oxygen, as shown in
Figure 1i. It illustrates that there are two kinds of different F&O competing process in the two kinds of oxygen condition, respectively. With the oppression of oxygen, it is difficult for fluorine to be incorporated into films to affect O-Sn-O bonds. Without restriction of oxygen, it is relatively easily entered into films to significantly impact O-Sn-O bonds, as analyzed in
Section 3.2. In addition, compared with the weak splitting effect of 568/630 cm
−1 under the less oxygen condition, the splitting effect of 568/630 cm
−1 by bimodal peak is relatively obvious under the more oxygen condition. It further demonstrates that the lack of lattice oxygen would result in that the unstable connection among octahedral chains, so that more F atoms could easily invade the SnO
2 framework to occupy the position of oxygen, and then damage the vibration of Sn-O bonds in A
1g mode. On the contrary, supplemental oxygen not only provides more Sn-O bonds, but also builds the bridges that connect octahedral chains to establish a firm SnO
2 structure, and in turn, makes fluorine hard enter into films to substitute oxygen.
For the film prepared in the more oxygen condition, the intensity of peak at ~568 cm
−1 shows a trend of firstly rising and then falling as the doped F content elevates in
Figure 2c, which presents the competing process of fluorine with oxygen, as analyzed from the XRD pattern. As the doped F content is lower at 2.5%, there exists the most amount of oxygen vacancies in the SnO
2 lattice, since the substitution of fluorine for the co-edge oxygen would match the presence of oxygen vacancies to release the distortion energy. It is not difficult to understand why this intensity of peak at 568 cm
−1 exited by oxygen vacancy is the strongest. After that, the continuously increasing level of fluorine is likely to be squeezed by oxygen to fill oxygen vacancies, and is even excluded to segregate at the boundary, thereby the intensity of peak at 568 cm
−1 gradually becomes weaker. It further reflects that, under the suppression of oxygen, fluorine is difficult to incorporate into film, even though the incorporated F atoms would also occupy lattice positions by the sequence of co-edge O ˃ oxygen vacancy ˃ segregation. In contrast, under the less oxygen condition in
Figure 2d, every octahedral chain is relative free owing to the lack of lattice oxygen, so that F atoms are easily incorporated into the lattice and always occupy the position of co-edge oxygen in one octahedral chain instead of filling oxygen vacancies, which means the intensity of peak at 568 cm
−1 remains unchanged even though fluorine content is increasing.
3.4. F&O Function on Plane Preferred-Growth
The above substitution of oxygen by fluorine would have an impact on the characteristic of crystalline planes, and then affect the growth of SnO
2 crystals which could be reflected on apparent performance of two-dimensional materials. As shown in
Figure 2e, under both strong and weak oxygen action, the wetting angle gradually decreases with the increase in the doped F content, indicating an increasing surface energy of film. It could be seen from the XRD pattern in
Figure 2a,b that SnO
2 crystals mainly grow along the (110), (101), and (200) crystalline planes. After F atoms replacing the co-edge O atoms, the presence of fluorine in the (110) plane in
Figure 1c damages the coincidence of positive and negative charge center of the (110) plane, and then increases the plane energy. In the unsaturated polar (101) plane with an alternative layer of Sn atoms and oxygen atoms, the occupation of fluorine for oxygen gives rise to an increase in polarity of the (101) plane in
Figure 1f. Meanwhile, by virtue of the increase in surface energy of the (110) and (101) planes, the SnO
2 crystal growth in the two orientations is restricted, so that the (200) plane in
Figure 1c,f is unaffected by replacement of fluorine for co-edge oxygen, and could preferably evolve in the crystal growth. These processes are reflected in the XRD pattern in
Figure 2a,b that with the increase in the doped F content, the (110) and (101) peaks are gradually diffuse, while the (200) peak shows a modest uptrend. In summary, the increase in (110) and (101) plane energy, together with the preferred evolvement of more high-energetic (200) plane [
23], contributes to the increase in surface energy of films, and then brings about change in the wetting angle.
Certainly, the evolvement of different crystalline planes during the growth of SnO2 crystals is dependent upon the competition of fluorine with oxygen. Under the weak oxygen action, more oxygen vacancies would be generated and more fluorine could be incorporated into the film, which both further enlarge the above-mentioned change in characteristics of the crystalline plane. Hence, the films grown in the less oxygen atmosphere had a higher surface energy, and present a smaller wetting angle.
3.5. F&O Regulation for Band Structure
The incorporation of fluorine has affected the electron energy band structure of films, and has an effect on the transition of electrons and holes among various energy levels, which would be reflected in photoluminescence spectra, as seen in
Figure 2f,g. The ultraviolet emission peak at ~370 nm is attributed to electron transition between conduction band and valence band [
24], the emission peak at ~540 nm is assigned to the electron transition mediated by energy level from oxygen vacancies [
25], and emission peak at ~752 nm is related to energy levels of surface state in the band gap [
26].
Whether the oxygen action is strong in
Figure 2f or weak in
Figure 2g, with the increase in the doped F content, the ultraviolet emission peak at ~370 nm firstly shifts towards long wavelength, and then shifts towards short wavelength. It depends on which one is dominant between up-shift of highest occupied molecular orbital (HOMO) in the valence band and up-shift of lowest unoccupied molecular orbital (LUMO) in the conduction band. As the less amount of fluorine enters the SnO
2 lattice to replace oxygen, free electrons provided by F atoms as the donor level would be not enough to fill the LUMO of the conduction band, while the HOMO in the valence band would move up due to the incorporation of fluorine [
19]. It contributes to the emission peak at ~370 nm shift towards long wavelength. As an increasing number of fluorine atoms incorporate into the SnO
2 lattice, a large number of free electrons supplied by F atoms would increase the density of state in the conduction band, and then make the fermi level enter into the conduction band to bring about the Burstein–Moss effect [
27], which broadens the optical band gap. In this case, the up-shift of LUMO in the conduction band begins to play a dominant role, making the emission peak at ~370 nm shift towards short wavelength.
Comparing
Figure 2f with
Figure 2g, the films grown in the less oxygen condition have an early blue-shift at ~370 nm as the doped F content is increasing. Without the restriction of oxygen, more F atoms incorporated into the film could always substitute co-edge O atoms to provide more free electrons, which significantly increases the density of states of the conduction band, and then broaden the optical band gap to cause the blue-shift. The peak at ~550 nm excited by oxygen vacancies is relatively diffuse, so it is unreasonable to effectively analyze the corresponding physical mechanism. Nevertheless, the emission peak at ~752 nm related to energy levels of surface state presents respective features for different oxygen actions. Under the less oxygen condition, the emission peak occurs the obvious red-shift with the increase in the doped F content, since the effectively incorporated fluorine atoms cause the lattice disorder as seen in
Figure 2b, and then bring about wide surface states above the valence band to accept more electrons. F atoms efficiently doped into films significantly prompt the up-shift of the valence band. Then, the gap between the HOMO in the valence band and the energy levels of surface state were shortened. For the films grown in the more oxygen condition that could restrict the function of fluorine, there is no obvious shift for the peak at ~752 nm due to the invariable energy level of surface states and valence band.
3.6. F&O Cooperation on Electrical Characteristics
The above regulation of electron energy band structure from the competition between fluorine and oxygen must be deeply reflected in the electrical characteristics in F-doped SnO
2 films.
Figure 3a,b shows the trends in carrier concentration and mobility of films with the increase in the doped F content. Under the less oxygen atmosphere, as the doped F content increases, more F atoms could enter into the SnO
2 lattice to effectively substitute co-edge oxygen in pairs all the way, which provides a large number of free electrons to dramatically increase the carrier concentration of films from ~10
16 to ~10
19 cm
−3, while the co-edge F atoms only cause the mobility decrease from 17 to 2 cm
2/V·S, and then the resistivity of films drastically declined from 10
1 to 10
−1 Ω·cm. In comparison to the monotonous change in electrical characteristics under the less oxygen condition, with the increase in the doped F content, the change in electrical characteristics under the more oxygen condition is divided into three stages which just correspond in competing process between fluorine and oxygen. In the first F-rising stage, F atoms replace co-edge oxygen in pairs and extra oxygen vacancies produce an overlapping effect to provide more free electrons, but form some barriers to hinder electron migration in SnO
2 films. In the second F-rising stage, additional F atoms are pushed to fill oxygen vacancies, which offsets the effect to provide free electrons between fluorine atoms and oxygen vacancies. Certainly, fluorine filling into oxygen vacancies could improve orderly arrangement in lattices to make carriers move more flexibly. In the third F-rising stage, the excessive F atoms form a segregation under the squeeze of oxygen to severely hamper electron mobilization, accompanying the modest increase in free electrons. In short, with the doped F content from 0 to 10 at%, carrier mobility sharply decreases from 70 to 0.2 cm
2/V·S while carrier concentration merely increases from ~10
15 to ~10
17/cm
−3, and then the resistivity remains near ~10
1 Ω·cm in SnO
2 film, as shown in
Figure 3c.
Based on the above discussion, the weak oxygen action seems to be beneficial to doping fluorine. Is this always the case? To clarify the issue, the SnO
2 films were obtained under an oxygen-deficient atmosphere with a higher vacuum degree. The result shows that only 2.5 at% of the doped F content could lead to a change in carrier concentration from ~10
16 to ~10
18/cm
−3, accompanying the decrease in mobility from 14 to 0.3 cm
2/V·S, which totally decreases resistivity from 10
1 to 10
0 Ω·cm, as shown in
Figure 3d. In addition, by comparing the average transmittance of the SnO
2 film prepared in different vacuum degree in
Figure 3e,f, it could be seen that the weakened oxygen action in sputtering process not only prompts the effective F doping to increase carrier concentration, but also may maintain a higher average light transmittance. Therefore, in order to make the film meet a demand for excellent transparent and conductive performance, the suppression of oxygen during the growth of film should be one of the effective measures.
It is worth noting that the competition between F and O not only occurred under the non-equilibrium sputtering condition, but also during the steady state annealing process. The pure and F-doped 2.5 at% SnO
2 films prepared under the oxygen-deficient atmosphere were annealed in the different oxygen partial pressures (OPP) at 400 °C.
Figure 3g,h shows the ratio in carrier concentration and resistivity of the as-annealed films to the original as-prepared film under the various oxygen partial pressures, respectively. Under OPP between ~10
−2 and ~10
−3 Pa, there keeps the ratio of resistivity near a constant (≈1) since the entering and escaping of lattice oxygen in films is almost at a dynamic equilibrium, which could only bring about a slight change in oxygen vacancies. On the platform between ~10
−2 and ~10
−3 Pa, compared with pure SnO
2 film, F-doped SnO
2 films present a lower ratio of carrier concentration (<1) and higher ratio of resistivity (˃1), as shown in
Figure 3g,h. It illustrates that the presence of fluorine reduces the equilibrium OPP in the film and implies that there are more oxygen vacancies in F-doped film. Under the OPP ˃ ~10
−1 Pa, there is a lower ratio of carrier concentration and a higher ratio of resistivity in F-doped films, which further demonstrates that the incorporation of fluorine is beneficial to the entrance of oxygen from ambient. Under the OPP ˂~10
−4 Pa, the F-doped films show a sharper increasing ratio of carrier concentration as well as a ratio of resistivity. It manifests that the incorporated F could also prompt the escape of oxygen, since the substitution of fluorine for oxygen caused the octahedral chains to be in an unstable state, resulting in O atoms in chains that could more easily escape to release a large number of electrons from Sn. Hence, the incorporation of fluorine could effectively regulate the in and out of lattice oxygen in the post-annealing process. The basic scientific issue about competition of fluorine for oxygen in the post-annealing process, could broadly tailor the multi-element component, atom-scaled microstructure and comprehensive properties for oxide crystals. It would also be beneficial to the development of the scientific community of crystals.