Open Access

Effect of annealing temperature on wettability of TiO2 nanotube array films

  • Lei Yang1, 2,
  • Miao Zhang1,
  • Shiwei Shi1,
  • Jianguo Lv3,
  • Xueping Song1,
  • Gang He1 and
  • Zhaoqi Sun1Email author
Nanoscale Research Letters20149:621

Received: 20 May 2014

Accepted: 10 October 2014

Published: 18 November 2014


Highly ordered TiO2 nanotube array (TN) films were prepared by anodization of titanium foil in a mixed electrolyte solution of glycerin and NH4F and then annealed at 200°C, 400°C, 600°C, and 800°C, respectively. The samples were characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM), water contact angle (WCA), and photoluminescence (PL). It was found that low temperature (below 600°C) has no significant influence on surface morphology, but the diameter of the nanotube increases from 40 to 50 nm with increasing temperature. At 800°C, the nanotube arrays are completely destroyed and only dense rutile film is observed. Samples unannealed and annealed at 200°C are amorphous. At 400°C, anatase phase appears. At 600°C, rutile phase appears. At 800°C, anatase phase changes into rutile phase completely. The wettability of the TN films shows that the WCAs for all samples freshly annealed at different temperatures are about 0°. After the annealed samples have been stored in air for 1 month, the WCAs increase to 130°, 133°, 135°, 141°, and 77°, respectively. Upon ultraviolet (UV) irradiation, they exhibit a significant transition from hydrophobicity to hydrophilicity. Especially, samples unannealed and annealed at 400°C show high photoinduced hydrophilicity.


TiO2 nanotube arrays Annealing temperature Wettability Photoinduced hydrophilicity


In 1997, Wang et al. [1] reported that ultraviolet (UV) illumination of TiO2 surfaces could produce a highly hydrophilic surface which was named as super-hydrophilicity. Since then, hydrophilic TiO2 materials have attracted attention for many practical applications such as self-cleaning and antifogging materials [2]. It is well known that the wettability of TiO2 thin films strongly depends on the preparation methods and annealing conditions, which have a decisive influence on the physical and chemical properties of TiO2 thin films [3, 4]. Therefore, it is necessary to investigate the effects of the preparation process and annealing conditions on the wettability of the films.

TiO2 thin films can be prepared by techniques such as sol-gel method [5], template method [6], sputtering method [7, 8], vapor and liquid phase deposition [9], and electrochemical deposition [10, 11]. In 1999, Zwilling and co-workers grew the first highly ordered TiO2 nanotube array (TN) films by anodization of titanium foil in a HF-containing electrolyte, which has attracted wide interest [12]. Thermal treatment of TiO2 and TiO2 nanotubes provides a facile route to control grain size, particle morphology, microstructures, phase composition, and surface photoelectrochemical properties via adjusting experimental parameters such as temperature, time, and atmospheres [1317]. For the wettability of TN films, previous works mainly focus on tubular geometry modified with low surface energy materials. In this work, by changing the annealing temperature, the effects of phase transition combined with nanotubular morphology on the wettability of TN films were investigated and discussed.


Preparation of samples

Titanium foils (0.2 mm thick, 99.6% purity), glycerin (analytical reagent (A.R.), 99.0%), and NH4F (A.R., 96.0%) were used in this experiment. Titanium foils were degreased by sonicating in acetone and deionized (DI) water, followed by rinsing with DI water and drying in air. Anodization of titanium foils was carried out at room temperature using a two-electrode system (2-cm separation) with a direct current power supply. The samples were anodized in solutions containing 0.175 M NH4F consisting of mixtures of DI water and glycerol (volume ratio 1:20) at 30 V for 3 h, similar to the method described by Schmuki and co-worker [18]. After fabrication, the samples were rinsed in DI water and dried in air. Thermal annealing was performed in ambient air for 2 h at 200°C, 400°C, 600°C, and 800°C, respectively.

Characterization of samples

A field emission scanning electron microscope (FE-SEM; Hitachi S4800, Hitachi, Ltd., Chiyoda, Tokyo, Japan) was employed for the morphological characterization of the TN films. The crystal structure of the TN films was checked by means of X-ray diffraction (XRD; MACM18XHF, MAC Science, Yokohama, Japan). The water contact angle (WCA) of the films was measured by a homemade WCA apparatus, which was performed in ambient conditions (293 K, relative humidity 60%). The volume of the water droplets used for the WCA measurements was 3 μL. Each WCA measurement was repeated four times at different places on the sample. To study the photoinduced hydrophilicity, samples were irradiated using a UV mercury lamp (λ =365 nm) with an intensity of 1.0 μW/cm2. After each irradiation time interval, a 3-μL water droplet was placed on the irradiated area and the corresponding angle was measured. The WCA can be calculated from Equation 1 [19]:
θ = arctan 4 H L L 2 - 4 H 2

where L and H are the diameter and height, respectively, of the spherical crown of the droplet dropped on the surface of the thin films. The experimental error of the measurements is ±1°.

Results and discussion

Microstructure and morphology

Figure 1 shows the XRD patterns of the TN films annealed at various temperatures in air. It is obvious that only the diffraction peaks of the titanium substrate can be found when the annealing temperature is 200°C (JCPDS No. 44-1294); it is suggested that these TNs are amorphous. For the sample annealed at 400°C, two obvious peaks at 2θ =25.3° and 48.1° corresponding to (101) and (200) plane diffraction of anatase TiO2 (JCPDS No. 21-1272) have been clearly observed except the diffraction peaks of the titanium substrate. For the sample annealed at 600°C, small peaks at 2θ =27.4°, 36.1°, and 54.3° corresponding to (110), (101), and (201) plane diffraction of rutile (JCPDS No. 21-1276) have been observed. For the sample annealed at 800°C, anatase phase changes into rutile phase completely. Further observation indicates that the diffraction peaks of titanium almost vanish at 800°C. A similar phenomenon was also reported by Grimes et al., and they suggested that titanium is directly oxidized and transformed into rutile titania at high temperature [20].
Figure 1

XRD patterns of TN films unannealed and annealed at 200°C, 400°C, 600°C, and 800°C.

Figure 2 presents the scanning electron microscopy (SEM) images of TN films (a) unannealed and annealed at (b) 200°C, (c) 400°C, (d) 600°C, and (e) 800°C for 2 h. As shown in Figure 2, all samples exhibit highly ordered TNs except the sample annealed at 800°C. It should be noted that the unannealed TNs have an average diameter of 40 nm. When the samples were annealed at 200°C and 400°C, the TNs' surface morphology remains uniform compared to that of the original TNs; however, the average diameter of the nanotubes increases to 50 nm. This may be related to the dehydration reaction that occurs when the phase transforms from amorphous to anatase [21]. At 600°C, the surface morphology of the TN sample has an obvious change, which is ascribed to the nucleation of rutile phase. When the annealing temperature grows up to 800°C, the TNs are completely destroyed and dense rutile film is observed (Figure 2e), which is attributed to the fact that high temperature causes the growth of rutile crystallites.
Figure 2

SEM images of TN films (a) unannealed and annealed at (b) 200°C , (c) 400°C , (d) 600°C , and (e) 800°C . The insets are optical images of water droplets on the sample surface, during the WCA measurement.


To characterize the wettability, both WCA and sliding angle (SA) are necessary. However, in our experiment, the films can hold water droplets through adhesive forces, even when the layer is tilted vertically or turned upside down; thus, surface wettability is evaluated by WCA measurement. Herein, the WCAs for all samples freshly annealed at different temperatures are about 0°. That is, the water droplet entirely spreads. This finding implies that the intrinsic state of a titania film is hydrophilic [22, 23] and this is in line with the classical Wenzel model [24]. In this model, it is assumed that a droplet fills up a rough surface, therefore, forming a fully wetted contact, which depends on the roughness factor and the surface free energy. In other words, the Wenzel model represents a classical situation of a droplet on a ‘flat’ surface just modified by a roughness factor. Herein, when a high surface energy material combines with micro- and nanoscale roughness, a super-hydrophilic surface is obtained.

After the samples annealed at different temperatures have been stored in air for 1 month, the WCAs increase to 130°, 133°, 135°, 141°, and 77°, respectively (insets in Figure 2). This wetting behavior may be ascribed to the replacement of the chemisorbed hydroxyl groups with the oxygens [25] and the adsorption of organic contaminants on the TN film surface in air ambience [26]. More importantly, the WCA of TN films is larger than the previous results achieved in TiO2 surface structures [22, 25, 27]. This behavior may be attributed to the ordered nanotubular structure and the great surface area. And this situation is described by the Cassie and Baxter model [28]. For a low surface energy material, Cassie and Baxter assumed that the liquid does not completely permeate the roughened solid. As a result, air pockets are trapped inside the features underneath the liquid, which sits above a composite surface made of solid and air. In the Cassie and Baxter model, the contact angle (θ) can be expressed as:
cos θ = 1 - f v 1 + cos θ - 1

where fv is the area fraction of vapor on the surface and θ is the contact angle measured on the flat surface. As fv is always lower than unity, this model always predicts enhancement of hydrophobicity only [29].

As shown in Figure 2a,b,c, the average pore size and the space among the tubes increase with increasing annealing temperature up to 400°C. Meanwhile, the WCA increases from 130° to 135°. This can be explained naturally by the Cassie and Baxter model, that the trapped air among tubes would increase the liquid-air contact area, thereby forming bigger WCA. From Figure 2d, at 600°C, the WCA is up to 141° and the sample surface roughness may be enhanced because of the breaking of nanotubes. Therefore, the increase of WCA may be attributed to the increase of area fraction of vapor on the surface fv and the enhanced roughness. When the sample was annealed at 800°C, the WCA decreases to 77°, caused by collapsing of the nanotubular structure.

Photoinduced wettability

UV irradiation, as an effective surface treatment method, has been effectively used to create hydrophilic surfaces [1, 30]. Table 1 and Figure 3 show the changes in the WCA under UV irradiation. The TN films annealed at different temperatures in air show WCAs of 23°, 103°, 13°, 43°, and 61°, respectively, after UV irradiation for 240 min in ambient conditions. It is found that the WCA decreases as the annealing temperature grows from 200°C to 400°C and increases as the temperature grows above 400°C. For the unannealed TN films, the WCA is bigger than that for the films annealed at 400°C and smaller than that for the films annealed at 600°C. Therefore, the optimal annealing temperature for photoinduced hydrophilicity is around 400°C. As is mentioned above, the crystal structure and the surface morphology are different for the samples annealed at different temperatures. Herein, the change in the WCA can be explained in terms of two factors: On the one hand, the wettability is dependent on the film's crystal structure. When the sample was annealed at 200°C, the microstructure of TNs is amorphous, which shows poor photoinduced hydrophilicity. When the sample was annealed at 400°C, anatase phase appears, resulting in high photoinduced hydrophilicity. However, when the sample was annealed at 600°C, the anatase TiO2 starts to transform gradually to rutile TiO2, leading to the rise in the WCA. This is because hydrophilicity is related to the density of surface hydroxyl. The surface hydroxyl can easily combine with water molecule to form hydrogen bond, resulting in hydrophilicity. So, the more surface hydroxyl, the better hydrophilicity. Under the same UV illumination, although changes in hydrophilicity have been observed on both the anatase and rutile TiO2 surface [31], the former with more surface hydroxyl is more active in achieving hydrophilic features than the latter with less surface hydroxyl. On the other hand, the wettability is also dependent on the film's surface morphology. When the sample was annealed at 800°C, the nanotubular structure collapses, causing the least WCA reduction rate.
Table 1

WCA reduction rate of the samples annealed at different temperatures


Annealing temperature (°C)






Before UV irradiation WCA (o)






After UV irradiation WCA (o)






Contact angle reduction rate (%)






Figure 3

Photographs of water droplet shape and the corresponding WCA. Photographs of water droplet shape on the TN films before and after UV irradiation (a). The corresponding WCA were plotted in (b).

Furthermore, from Table 1 and Figure 3, it is noteworthy that the unannealed sample possesses a WCA of 23° after UV irradiation, which is much smaller than that annealed at 200°C. Combining XRD analysis with the SEM image, it can be seen that they are both amorphous and almost have the same surface morphology. Sun et al. proposed a mechanism of the photoinduced hydrophilicity of TiO2, which originates from an increase of the hydroxyl groups on the TiO2 surface. Some of the photogenerated holes diffuse to the surface of TiO2 and react with lattice oxygen, leading to the formation of surface oxygen vacancies. Water molecules are feasible to occupy those oxygen vacancies to produce surface-adsorbed hydroxyl groups, which tend to make the surface hydrophilic [22]. Therefore, variation of the WCA should be primarily attributed to the difference in their surface defective sites.

As photoluminescence (PL) properties of the materials closely correspond to the surface features of the material that could be changed remarkably by the annealing processes [32], we measured the PL spectra of TN films upon UV irradiation for 60 min. The PL spectra of TN films were obtained by using an excitation wavelength of 325 nm in the range from 350 to 600 nm at room temperature. As shown in Figure 4, the unannealed TN films display two visible luminescence bands located at 470 and 540 nm which decrease in intensity in the sample annealed at 200°C. It has been reported that the peaks located in the visible luminescence band are correlated to oxygen vacancies on the surface of TiO2 and that the intensity of the emission peaks increases with the defect levels [3335]. So, we can surmise that the oxygen vacancy defects decrease in TN films with annealing temperature growth up to 200°C. Therefore, the photoinduced hydrophilicity of the TN films annealed at 200°C weakened.
Figure 4

Photoluminescence spectra of TN films (a) unannealed and (b) annealed at 200°C after UV irradiation for 60 min.


In summary, TN films have been prepared by anodization on a pure titanium foil. The crystal structure of TN films transforms from amorphous to anatase and rutile with annealing temperature increasing from room temperature to 800°C. The study of the wettability of the films shows that the WCAs for all samples freshly annealed at different temperatures are about 0°. After the annealed samples have been stored in air for 1 month, the WCA has a significant increase. Upon UV irradiation, it exhibits a significant transition from hydrophobicity to hydrophilicity. The study of the wettability of the films shows that the wettability of the TN films relates to the superficial cleanliness, crystal structure, oxygen vacancy defects, and surface morphology.



This work is supported by the National Natural Science Foundation of China (Nos. 51472003 and 51272001), the National Key Basic Research Program (2013CB632705), and the National Science Research Foundation for Scholars Return from Overseas, Ministry of Education, China. The authors would like to thank Yonglong Zhuang and Zhongqing Lin of the Experimental Technology Center of Anhui University for the electron microscope test and discussion.

Authors’ Affiliations

School of Physics and Materials Science, Anhui University
New Star Institute of Applied Technology
Department of Physics and Electronic Engineering, Hefei Normal University


  1. Wang R, Hashimoto K, Fujishima A, Chikuni M, Kojima E, Kitamura A, Shimohigoshi M, Watanabe T: Light-induced amphiphilic surfaces. Nature 1997, 388: 431–432. 10.1038/41233View ArticleGoogle Scholar
  2. Hata S, Kai Y, Yamanaka I, Oosaki H, Hirota K, Yamazaki S: Development of hydrophilic outside mirror coated with titania photocatalyst. JSAE Rev 2000, 21: 97–102. 10.1016/S0389-4304(99)00075-2View ArticleGoogle Scholar
  3. Emeline AV, Rudakova AV, Sakai M, Murakami T, Fujishima A: Factors affecting UV-induced superhydrophilic conversion of a TiO2 surface. J Phys Chem C 2013, 117: 12086–12092.View ArticleGoogle Scholar
  4. Antony RP, Mathews T, Dash S, Tyagi AK: Kinetics and physicochemical process of photoinduced hydrophobic ↔ superhydrophilic switching of pristine and N-doped TiO2 nanotube arrays. J Phys Chem C 2013, 117: 6851–6860. 10.1021/jp400718tView ArticleGoogle Scholar
  5. Sharma SK, Vishwas M, Rao KN, Mohan S, Reddy DS, Gowda KVA: Structural and optical investigations of TiO2 films deposited on transparent substrates by sol–gel technique. J Alloys Compd 2009, 471: 244–247. 10.1016/j.jallcom.2008.03.058View ArticleGoogle Scholar
  6. Kang TS, Smith AP, Taylor BE, Durstock MF: Fabrication of highly-ordered TiO2 nanotube arrays and their use in dye-sensitized solar cells. Nano Lett 2009, 9: 601–606. 10.1021/nl802818dView ArticleGoogle Scholar
  7. Neatu S, Sacaliuc-Parvulescu E, Levy F, Parvulescu VI: Photocatalytic decomposition of acetone over dc-magnetron sputtering supported vanadia/TiO2 catalysts. Catal Today 2009, 142: 165–169. 10.1016/j.cattod.2008.08.034View ArticleGoogle Scholar
  8. Jung JM, Wang M, Kim EJ, Park C, Hahn SH: Enhanced photocatalytic activity of Au-buffered TiO2 thin films prepared by radio frequency magnetron sputtering. Appl Catal B 2008, 84: 389–392. 10.1016/j.apcatb.2008.04.020View ArticleGoogle Scholar
  9. Yoshitake H, Sugihara T, Tatsumi T: Preparation of wormhole-like mesoporous TiO2 with an extremely large surface area and stabilization of its surface by chemical vapor deposition. Chem Mater 2002, 14: 1023–1029. 10.1021/cm010539bView ArticleGoogle Scholar
  10. Xin YJ, Liu HL: Study on mechanism of photocatalytic performance of La-doped TiO2/Ti photoelectrodes by theoretical and experimental methods. J Solid State Chem 2011, 184: 3240–3246. 10.1016/j.jssc.2011.10.017View ArticleGoogle Scholar
  11. Agarwala S, Ho GW: Self-ordering anodized nanotubes: enhancing the performance by surface plasmon for dye-sensitized solar cell. J Solid State Chem 2012, 189: 101–107.View ArticleGoogle Scholar
  12. Zwilling V, Darque-Ceretti E, Boutry-Forveille A, David D, Perrin MY, Aucouturier M: Structure and physicochemistry of anodic oxide films on titanium and TA6V alloy. Surf Interface Anal 1999, 27: 629–637. 10.1002/(SICI)1096-9918(199907)27:7<629::AID-SIA551>3.0.CO;2-0View ArticleGoogle Scholar
  13. Li G, Liu ZQ, Lu J, Wang L, Zhang Z: Effect of calcination temperature on the morphology and surface properties of TiO2 nanotube arrays. Appl Surf Sci 2009, 255: 7323–7328. 10.1016/j.apsusc.2009.03.097View ArticleGoogle Scholar
  14. Yu JG, Yu HG, Cheng B, Trapalis C: Effects of calcination temperature on the microstructures and photocatalytic activity of titanate nanotubes. J Mol Catal A 2006, 249: 135–142. 10.1016/j.molcata.2006.01.003View ArticleGoogle Scholar
  15. Charoensirithavorn P, Ogomi Y, Sagawa T, Hayase S, Yoshikawaa S: Effect of heat-treatment on electron transport process in TiO2 nanotube arrays prepared through liquid phase deposition for dye-sensitized solar cells. J Electrochem Soc 2009, 156: 803–807. 10.1149/1.3211840View ArticleGoogle Scholar
  16. Qamar M, Yoon CR, Oh HJ, Kim DH, Jho JH, Lee KS, Lee WJ, Lee HG, Kim SJ: Effect of post treatments on the structure and thermal stability of titanate nanotubes. Nanotechnology 2006, 17: 5922–5929. 10.1088/0957-4484/17/24/004View ArticleGoogle Scholar
  17. Zhao L, Yu JG, Fan JJ, Zhai PC, Wang SM: Dye-sensitized solar cells based on ordered titanate nanotube films fabricated by electrophoretic deposition method. Electrochem Commun 2009, 11: 2052–2055. 10.1016/j.elecom.2009.08.050View ArticleGoogle Scholar
  18. Macak JM, Schmuki P: Anodic growth of self-organized anodic TiO2 nanotubes in viscous electrolytes. Electrochim Acta 2006, 52: 1258–1264. 10.1016/j.electacta.2006.07.021View ArticleGoogle Scholar
  19. Lv JG, Huang K, Chen XM, Zhu JB, Meng FM, Song XP, Sun ZQ: Reversible wettability of nanostructured ZnO thin films by sol–gel method. Appl Surf Sci 2010, 256: 4720–4723. 10.1016/j.apsusc.2010.02.080View ArticleGoogle Scholar
  20. Varghese OK, Gong DW, Paulose M, Grimes CA, Dickey EC: Crystallization and high-temperature structural stability of titanium oxide nanotube arrays. J Mater Res 2003, 18: 156–165. 10.1557/JMR.2003.0022View ArticleGoogle Scholar
  21. Yu JG, Dai GP, Cheng B: Effect of crystallization methods on morphology and photocatalytic activity of anodized TiO2 nanotube array films. J Phys Chem C 2010, 114: 19378–19385. 10.1021/jp106324xView ArticleGoogle Scholar
  22. Sun RD, Nakajima A, Fujishima A, Watanabe T, Hashimoto K: Photoinduced surface wettability conversion of ZnO and TiO2 thin films. J Phys Chem B 2001, 105: 1984–1990. 10.1021/jp002525jView ArticleGoogle Scholar
  23. Minabe T, Tryk DA, Sawunyama P, Kikuchi Y, Hashimoto K, Fujishima A: TiO2-mediated photodegradation of liquid and solid organic compounds. J Photochem Photobiol A 2000, 137: 53–62. 10.1016/S1010-6030(00)00350-6View ArticleGoogle Scholar
  24. Wenzel RN: Resistance of solid surfaces to wetting by water. Ind Eng Chem 1936, 28: 988–994. 10.1021/ie50320a024View ArticleGoogle Scholar
  25. Wang R, Hashimoto K, Fujishima A, Chikuni M, Kojima E, Kitamura A, Shimohigoshi M, Watanabe T: Photogeneration of highly amphiphilic TiO2 surfaces. Adv Mater 1998, 10: 135–138. 10.1002/(SICI)1521-4095(199801)10:2<135::AID-ADMA135>3.0.CO;2-MView ArticleGoogle Scholar
  26. Yin HY, Jin ZS, Zhang SL, Wang SB, Zhang ZJ: Reason for the loss of hydrophilicity of TiO2 film and its photocatalytic regeneration. Sci China Ser B 2002, 45: 625–632. 10.1007/BF03182534View ArticleGoogle Scholar
  27. Meng FM, Xiao L, Sun ZQ: Thermo-induced hydrophilicity of nano-TiO2 thin films prepared by RF magnetron sputtering. J Alloys Compd 2009, 485: 848–852. 10.1016/j.jallcom.2009.06.107View ArticleGoogle Scholar
  28. Cassie ABD, Baxter S: Wettability of porous surfaces. Trans Faraday Soc 1944, 40: 546–551.View ArticleGoogle Scholar
  29. Lv JG, Zhu JB, Huang K, Meng FM, Song XP, Sun ZQ: Tunable surface wettability of ZnO nanorods prepared by two-step method. Appl Surf Sci 2011, 257: 7534–7538. 10.1016/j.apsusc.2011.03.113View ArticleGoogle Scholar
  30. Kontos AG, Kontos AI, Tsoukleris DS, Likodimos V, Kunze J, Schmuki P, Falaras P: Photo-induced effects on self-organized TiO2 nanotube arrays: the influence of surface morphology. Nanotechnology 2009, 20: 045603. 10.1088/0957-4484/20/4/045603View ArticleGoogle Scholar
  31. Fujishima A, Rao TN, Tryk DA: Titanium dioxide photocatalysis. J Photochem Photobiol A 2000, 1: 1–21. 10.1016/S1389-5567(00)00002-2View ArticleGoogle Scholar
  32. Zacharias M, Fauchet PM: Blue luminescence in films containing Ge and GeO2 nanocrystals: the role of defects. Appl Phys Lett 1997, 71: 380–382. 10.1063/1.119543View ArticleGoogle Scholar
  33. Lei Y, Zhang LD, Meng GW, Li GH, Zhang XY, Liang CH, Chen W, Wang SX: Preparation and photoluminescence of highly ordered TiO2 nanowire arrays. Appl Phys Lett 2001, 78: 1125–1127. 10.1063/1.1350959View ArticleGoogle Scholar
  34. Siripala W, Tomkievicz M: Interactions between photoinduced and dark charge transfer across n-TiO2-aqueous electrolyte interface. J Electrochem Soc 1982, 129: 1240–1245. 10.1149/1.2124094View ArticleGoogle Scholar
  35. Jing LQ, Sun XJ, Cai WM, Xu ZL, Du YG, Fu HG: The preparation and characterization of nanoparticle TiO2/Ti films and their photocatalytic activity. J Phys Chem Solid 2003, 64: 615–623. 10.1016/S0022-3697(02)00362-1View ArticleGoogle Scholar


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