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    蔥葉一步法裂解制備多孔炭及其電容性能研究

    2016-11-22 07:31:23高利珍李雪蓮高麗麗李長(zhǎng)明
    新型炭材料 2016年5期
    關(guān)鍵詞:蔥葉炭化麗麗

    于 晶, 高利珍, 李雪蓮, 吳 超, 高麗麗,3, 李長(zhǎng)明

    (1.太原理工大學(xué) 環(huán)境科學(xué)與工程學(xué)院,山西 太原030024;2.西南大學(xué) 清潔能源與先進(jìn)材料研究所,重慶400715;3.太原理工大學(xué) 綠色能源材料與儲(chǔ)能系統(tǒng)實(shí)驗(yàn)室,山西 太原030024)

    ?

    蔥葉一步法裂解制備多孔炭及其電容性能研究

    于 晶1, 高利珍1, 李雪蓮1, 吳 超2, 高麗麗1,3, 李長(zhǎng)明2

    (1.太原理工大學(xué) 環(huán)境科學(xué)與工程學(xué)院,山西 太原030024;2.西南大學(xué) 清潔能源與先進(jìn)材料研究所,重慶400715;3.太原理工大學(xué) 綠色能源材料與儲(chǔ)能系統(tǒng)實(shí)驗(yàn)室,山西 太原030024)

    以蔥葉為炭前驅(qū)體,在不添加任何活化劑的條件下,炭化活化同時(shí)進(jìn)行,制備了孔徑分布主要集中于0.6~1.2 nm和3~5nm之間的蔥基多孔炭材料,并對(duì)其電容性能進(jìn)行研究。分別采用掃描電子顯微鏡(SEM)、場(chǎng)發(fā)射掃描電子顯微鏡(FE-SEM)、能量彌散X射線光譜(EDX)、火焰原子吸收光譜(FAAS)、X射線衍射(XRD)、熱重分析(TGA)和氮?dú)馕摳角€等方法表征了蔥基炭的形貌、成分、比表面積及孔徑分布等性能;通過(guò)循環(huán)伏安(CV)、交流阻抗(EIS)、恒流充放電(GCD)等電化學(xué)方法考察了材料的比電容和循環(huán)壽命等電化學(xué)性能。結(jié)果表明,蔥葉中本身含有的微量礦物質(zhì)如鈣、鉀等在其炭化的過(guò)程中同時(shí)起到了活化的作用。研究了不同溫度下(600~800 ℃)制備的多孔炭的性能,發(fā)現(xiàn)800 ℃條件下制得的樣品性能最佳,以微孔為主,介孔輔之,孔徑為0.6~1.2 nm的微分孔隙體積達(dá)2.608 cm-3/g/nm,3~5 nm的微分孔隙體積有0.144 cm-3g/nm,BET比表面積為551.7 m2/g,質(zhì)量比電容為158.6 F/g,有效面積電容可高達(dá)28.8 μF/cm2。這表明孔徑分布情況對(duì)多孔炭的電荷存儲(chǔ)能力有很重要的影響,此法也為提高“有效面積電容”提供了思路。

    多孔炭; 蔥葉; 一步炭化活化法; 有效面積電容

    1 Introduction

    With the increase of the environmental pollution and the scarcity of fossil fuels, the demand for clean energy sources is growing rapidly all around the world. Supercapacitor, as a kind of clean energy conversion and storage device, has attracted much attention owing to its high power density, long cycle life and high dynamic of charge propagation, which bridges the power/energy gap between traditional dielectric capacitor and battery[1-6]. Especially, electrical double-layer supercapacitors (EDLSs), draw much more attention owing to their simple charging mechanism, long cycling life and short charging time. Since pure physical charge accumulation occurs at the electrochemical interface between electrode and electrolyte during the charge/discharge process, EDLS is able to store and deliver energy at a relatively high rate[7-10]. Compared to batteries, supercapacitors have the advantages of high power density, long life expectancy, long shelf life, high efficiency, wide range of operating temperatures, environmental friendliness and safety. However, they also face challenges at the current stage of technology, such as low energy density, high cost and high self-discharging rate. Among the components of a supercapacitor, electrode materials dominate the performance of supercapacitors[11]. Therefore, developing new materials with improved performance is important to improve the property of supercapacitors[12]. In general, electrode materials of supercapacitors include three types[13,14]: carbon materials, conducting polymers, and metal oxides. Porous carbons have large surface areas, relatively good electrical conducting properties and the 3D porous network structure that ensures fast electronic and ionic conduction through charge/discharge process. Furthermore, porous carbons are considered as the most promising candidate materials for supercapacitors in industry owing to their moderate cost[3, 7, 15]. Generally, the synthesis of porous carbons includes two steps: carbonization and activation. Among various precursors, cheap and renewable biomass such as agricultural byproducts have attracted much attention owing to their low cost and environmental friendly properties[16-18]. Activation is a crucial procedure, which include physical and chemical activation. For these two methods, either high temperature or large amount of chemical agent is used, which require expensive equipments or bring about difficulty in post-treatment[19-25]. Though various porous carbons have been tried as electrode materials in supercapacitors, their applications are still limited owing to their complicated production processes[26]. As reported, natural constituents such as mineral substances in some kinds of leaves may replace the additional pore generators to create micropores, thereby simplifying the process[27,28]. Green onions are widely planted in China and could be stored in winter. However, during the storage, the leaves of green onions are usually withered and need to be discarded. Therefore, we reported a facile, cost-effective approach to synthesize porous carbon via one-step pyrolysis of the discarded green onion leaves without any additive. The reason might be that green onion leaves contain Ca and K that act as pore generators[27,28]. The pore sizes are mainly centered around 0.6-1.2 and 3-5 nm. Although the specific surface area and the mass specific capacitance for the green onion leave-derived carbons (GOLCs) are not so high, their “effective areal capacitance” is high, indicating that the proportion of their effective pores in GOLCs is high.

    2 Experimental

    2.1 Chemicals

    The green onions used in this study were directly obtained from the local farm. Nafion solution was purchased from Sigma. All other chemical reagents, such as hydrochloric acid (HCl, 36%), nitric acid (HNO3, 65%), perchloric acid (HClO4, 70%), hydrogen peroxide (H2O2, 30%) and potassium hydroxide (KOH, 98%), were purchased from Sinopharm Chemical Reagent Co. Ltd and used as received without any further purification. All the aqueous solutions were prepared with Millipore water having a resistivity of 18.2 MΩ (Purelab Classic Corp., USA).

    2.2 Synthesis of porous carbons

    The synthesis process of green onion leave-derived carbons (GOLCs) is shown in Fig. 1.

    Fig. 1 Schematic diagram for the synthesis of porous carbons from green onion leaves.

    The leaves of green onion were separated from the white stem, washed thoroughly with deionized water and dried at 60 ℃ in an oven over night. The dried leaves were crushed into powder. The carbonization and activation processes were carried out at one step. The dried leave powder was heated at 600-800 ℃ under the protection of argon for 2 h in a tubular furnace. The heating rate was 10 ℃/min. After cooled down to room temperature under argon, the green powder was totally turned into black color. The obtained products were washed thoroughly by deionized water and then dried in an oven over night. For comparison, some products were rinsed by a diluted hydrochloric solution (0.1 M).

    2.3 Electrochemical measurements

    Electrochemical characterizations were carried out in a three-electrode electrochemical system using Hg/HgO electrode and platinum foil as the reference and counter electrode, respectively. The GOLC powder was dispersed in water by sonication. Then the suspension was dripped on a glassy carbon electrode and coated by Nafion solution.

    All the electrochemical measurements were carried out on a CHI 660D electrochemical workstation (Shanghai Chenhua Co. Ltd, China) in 3 M KOH aqueous electrolyte solution at room temperature. Cyclic voltammetry (CV) curves were obtained between a potential range of -1.0-0.1 V at different scanning rates. The electrochemical impedance spectroscopy (EIS) was performed in a three-electrode system at 5 mV-alternating current-disturbance around the open circuit potential vs Hg/HgO. The scanning frequency was from 0.01 to 100 kHZ. The galvanostatic charge/discharges (GCD) were carried out under different current densities.

    The mass specific capacitance is calculated from GCD curves through equation (1) :

    (1)

    where “Cs” is the specific capacitance, “I” is the current, “m” is the active mass and “dv/dt” is the slope obtained from the discharge curve.

    Effective areal capacitance (Cea, μF/cm2) means the ratio of “mass specific capacitance (Cms, F/g)” and “BET surface area (A, m2/g)”, which is calculated by the equation (2).

    (2)

    2.4 Characterizations

    The morphology of GOLCs was observed by a JSM-6510LV (Japan) scanning electron microscope (SEM) and a JSM-7800F field-emission scanning electron microscope (FE-SEM, Japan). Elemental composition analysis was qualitatively measured by JSM-6510LV (Japan) energy dispersive X-ray spectroscopy (EDX) and quantitatively determined by WFX-110 flame atomic absorption spectrometry (FAAS). The samples were pretreated before FAAS measurement. Firstly, they were ground into powder and poured into an acid mixture of HNO3and HClO4, followed by heating and dissolving at a hot plate until most of water evaporated. Then H2O2was added to get rid of the residual acid. Through the treatment, minerals such as K and Ca could be totally dissolved from the samples, which could be used for FAAS measurements. The nitrogen adsorption and desorption isotherms at 77 K were measured using a Quantachrome Instruments (USA) Inc. Nova 1200e surface area and pore size analysis system. The specific surface area was calculated from the N2adsorption isotherm by applying the Brunauer-Emmett-Teller (BET) equation. In order to reflect the pore size distribution exactly, both Barrett-Joyner-Halenda (BJH) and Density functional theory (DFT) models were applied. BJH model is more suitable to mesopore analysis while DFT for micropore analysis. XRD patterns were obtained by a XRD-7000 (Japan). Thermogravimetric analysis (TGA) and differential thermogravimetric (DTG) analysis were carried out using with a Thermogravimetric Analyzer Q50 (USA).

    3 Results and discussion

    The morphology of all GOLCs prepared at different temperatures is shown in Fig. 2. From the SEM images (from 2a to 2f), all the samples prepared at different temperatures show similar fiber structure as the original leaves, implying that the macroscopical structure haven’t been changed during carbonization. However, mesopores and micropores could not be clearly observed under SEM, which might be caused by the low magnification and resolution of SEM. The GOLC prepared at 800 ℃ (GOLC-800) under FE-SEM is shown in Fig. 2g-h, which reveals that more tiny pores can be observed, but still not quite clear. This might be because some of the pores may be hidden by the original mineral substances that are uniformly distributed in green onion leaves.

    The pore structure could be further verified by nitrogen adsorption-desorption isotherms as shown in Fig. 3. An obvious hysteresis loop can be observed in the isotherms in Fig. 3a at the relative pressure from 0.4 to 0.9. The hysteresis loop can be categorized as H4 type, revealing that mesopores exist in the samples[28,29]. The specific surface areas for different GOLCs prepared at 600, 700 and 800 ℃, abbreviated as GOLC-600, GOLC-700 and GOLC-700, are calculated with standard BET method to be and respectively 230.5,348.4 and 551.7 m2/g, respectively. Fig. 3b-d depict the pore size distributions of GOLCs with the two models, which show bimodal distribution of micropores and mesopores. Through calculation, the differential pore volumes of micropores (0.6-1.2 nm) are 1.432, 1.449 and 2.608 cm-3/g/nm for GOLC-600, GOLC-700 and GOLC-800, respectively. Furthermore, most of the micropores are centered around 0.6-0.8 nm. Micropores have a high surface area to volume ratio and contribute more to surface area when present in significant amounts. Some studies have reported that pore sizes around 0.7 nm may be a suitable dimension for aqueous electrolyte,which could match the dimension of the aqueous ion[2, 32,33]. And the corresponding differential pore volumes of mesopores (3 to 5 nm) are 0.016, 0.071 and 0.144 cm-3/g/nm for GOLC-600, GOLC-700 and GOLC-800, respectively. As reported[30], mesopores play a significantly important role to obtain an ideal capacitor behavior, because they can not only contribute to the surface area but also provide wide transport channels for adsorbate accessibility[31]. Both the differential micropore volume and differential mesopore volume for GOLC-800 are the highest among the three samples, implying that high activation temperature is favorable for the generation of pores. Therefore, GOLC-800 is the most excellent material among the three, followed by GOLC-700 and then GOLC-600, if it is judged merely from the pore size distributions and BET surface areas.

    Fig. 2 (a-f) SEM and (g-h) FESEM images of green onion leave-derived carbons prepared at different temperatures: (a-b) 600 ℃, (c-d) 700 ℃ and (e-h) 800 ℃.

    The elements and their relative contents in the GOLC-800 were also determined by EDX as shown in Fig. 4a. It is seen that carbon (C) is the most prominent ingredient, implying that the green onion has been well carbonized. Trace of inorganic elements such as oxygen (O), sulphur (S), chlorine (Cl) and phosphorus (P) can be observed as shown in Fig. 4a. The existing of oxygen (O) implies that there are lots of oxygen-groups on the surface of the carbon. Furthermore, some mineral substances can be as well detected, such as calcium (Ca) and potassium (K). Since no element addition was involved during the carbonization of GOLC-800, it can be inferred that all the mineral substances originate directly from the green onion leaves.

    Fig. 3 (a) Nitrogen adsorption-desorption isotherms for green onion leave-derived carbons prepared at different temperatures; (b-d) pore size distributions with the BJH and DFT models.

    Fig. 4 (a) Images of EDX analysis and (b) XRD patterns for green onion leave-derived carbon at 800 ℃.

    To further verify the content of these mineral substances, TGA measurement of original green onion leaves was also carried out as shown in Fig. 5.

    Stage I from 25 to approx. 200 ℃ might correspond to the elimination water including free and bonded water, and the total content of water in green onion is 15 wt%. The main pyrolysis of green onion occurs at Stage II (200-300 ℃) and Stage III (300-500 ℃), which show highest weight loss. Stage II may be correlated to the decomposition of carbohydrates and proteins[27]while stage III to cellulose and hemicellulose[34]. The weight loss for stage II and III is approximately 55% in general. When the temperature is higher than 500 ℃ (stage IV), only a 5%-8% weight reduction happens until 800 ℃,which might be caused by the decomposition of the small amount of lignin contained in green onion[34]. The residual content after Stage IV is above 20%, part of which may be due to the large amount of minerals such as Ca, K originally present in green onion leaves.

    The XRD patterns of GOLCs in Fig. 4b could further confirm the existence of mineral substances. The upper line in Fig. 4b represents the GOLC-800 that was washed only with pure water, from which, two sharp peaks near 28° and 33° could be seen obviously; however, after the GOLC-800 was rinsed by diluted HCl solution, these two peaks disappeared as shown in the lower line. Through comparison to the standard spectrum diagrams, the sharp peaks might be attributed to CaC2. After rinsing with HCl, CaC2might reacts with in water. Furthermore, a broad peak near 2θ=25°can be seen in both lines, corresponding to the crystalline graphite. As reported[27,28], Ca and K salts can be acted as pore generators to create pores during the synthesis. Nakagawa[35]reported that more mesopores and micropores could be obtained in the porous carbons by adding some calcium compound into the raw material before activation. Raymundo also illustrated that the presence of K derivatives in carbon precursor played the same role as additives of chemical pore generators during the activation[27].

    Fig. 5 TGA and (DTG) analysis of green onion leaves under a nitrogen atmosphere (heating rate: 10 ℃/min).

    To quantitatively analyze the contents of mineral substances (K, Ca), FAAS was applied. Three different samples were measured, dried green onion leaves prepared by drying green onion leaves under 60 ℃ at vacuum oven for 12 h, GOLC-800 and GOLC-800 rinsed by HCl solution. The results are listed in Table 1, which reveal that the original contents of K and Ca in dried green onion leaves are 20.5 and 3.5 mg/g, respectively, which are similar to the reported results[28]. After the carbonization at 800 ℃, the contents of K and Ca increase to 42.7 and 7.3 mg/g, respectively. The increase of their relative contents in the samples might be attributed to pyrolysis of carbohydrates and proteins, namely, the loss of H, O and other elements. These results agree well with the TGA conclusions as shown in Fig. 5. Compared with the amount of the activating agents added in chemical activation, the contents of K and Ca are very low. However, as reported by Biswal[28], natural constituents such as mineral substances in biomass are distributed uniformly. So despite the very few amounts, they are very effective to create pores in activation. In this work, the total content of K and Ca in GOLC-800 is 50 mg/g, so they could play an important role to generate pores in carbonization as activating agents. This is why no more external activating agents are needed. After the GOLC samples were thoroughly rinsed in HCl solution, the K and Ca were removed to an extent too little to be detected.

    Table 1 Contents of K and Ca in dried green onion leaves, GOLC-800 and GOLC-800 rinsed by HCl.

    Electrochemical behaviors of GOLCs prepared under different temperatures were measured in 3 M KOH aqueous electrolyte, as shown in Fig. 6 and Fig. 7. To measure whether the residual K and Ca in GOLC-800 have great effect on capacitance, the GOLC-800 samples were thoroughly rinsed by HCl, as shown in Fig 6a. The XRD results in Fig 4b have shown that materials such as Ca could be gotten rid of through rinsing with HCl. However, it could be obviously seen that CV curves of GOLC-800 and GOLC-800 rinsed by HCl are similar, implying that the mineral substances as K and Ca in GOLC have little effects. Thus, GOLCs were just washed by deionized water and measured in the following samples.

    Fig. 6b is the galvanostatic charge/discharge curve at 0.2 A/g of GOLCs, linear and nearly symmetrical curves could be seen in all samples, confirming that the product has excellent electrochemical reversibility and charge/discharge properties. Comparison of the three samples at the same charge/discharge current density of 0.2 A/g, discharge time of GOLC-800 is nearly 870 s, and GOLC-700 and GOLC-600 is 570 and 520 s, respectively, implying that GOLC-800 has better electrochemical performance than GOLC-600 and GOLC-700. The mass specific capacitances for GOLC-800, GOLC-700 and GOLC-600 at a current density of 0.2 A/g calculated from equation (1) are 158.6,104.2 and 94.8 F/g, respectively. The higher mass specific capacitance for GOLC-800 may be ascribed to its larger specific surface area and higher differential pore volume[36]. Actually, this capacitance value is relatively higher than those of other electrode materials for supercapacitor application from biomass precursor[8,37]. Fig 6c is the galvanostatic charge/discharge curves of GOLC-800 at different current densities. It can be seen that the capacitances drastically change for GOLC-600, GOLC-700 and GOLC-800 when the current density increases from 0.2 to 5.0 A/g as shown in Fig. 6d. This can be explained as follows[38]. At lower current densities, ions can be transported and diffused into the pores easily, which results in higher capacitance. However, when the current density increases, ions cannot be easily diffused into the pores so that the effective double layers are formed at the surface of the electrode. Hence, the capacitance at high current densities are low.

    Fig. 6 Measurements of GOLCs’ electrochemical behavior.

    Fig. 7a and Fig. 7b depict the cyclic voltammetry curves of GOLC-800 at different scanning rates. At lower scanning rate such as 2 mV/s, a redox hump could be observed betwwen -0.15-0.25 V, which might be casued by oxygen-groups reaction at the carbon surface[39]. This Faradaic redox reaction also contributes to the capacitance. However, in the whole scaning rang from -1.0 to 0.1 V, the CV curves represent nearly rectangular shape, revealing an ideal capacitance behavior and the charge/discharge process is nearly reversible[23,40].With the increasing of scanning rate, there is almost no deviation from rectangular shape in CV curves, implying the low ohmic polarization and high electrolyte ion transfer rate. At the same time, when the direction of the scanning rate changes, current responses quickly, implying the fast kinetics of the double layer formation.

    Electrochemical impedance spectrometry (EIS) is a steady state technique with small potential variation, which is more reliable for measuring the capacitance. The sloping line in the range of low frequency corresponds to the diffusive resistance. In Fig. 7c, the Nyquist plots for all the samples are dominated by nearly vertical trend capacitive lines in the range of low frequency which indicate capacitive behavior according to the equivalent circuit theory and could be attributed to the capacitive properties. However, the sloping line for GOLC-800 is more vertical than that for GOLC-700 and GOLC-600, revealing that GOLC-800 represents low diffusive resistance and high capacitance. In the range of high frequency, no obvious semicircle could be observed, implying that the intrinsic resistance of the active material is relatively small, which agree well with the results in Fig. 7a, b.

    Furthermore, the GOLC-800 shows an excellent cycling stability as shown in Fig.7d. The mass specific capacitance still remains 96% of the initial after 5 000 galvanostatic charge/discharge cycles at a current density of 10 A/g.

    Fig. 7 Measurements of GOLCs’ electrochemical behavior.

    Some other carbons synthesized from biomass materials are compared with ours as shown in Table 2. Rice husk[41], firewood[25], bamboo[42], bean dregs[43]and many other biomass materials were applied as precursor. Mass specific capacitance is an important factor that should be considered in practical application. However, for some small electronic devices, effective areal capacitance is very important in supercapacitor applications[44,45]. Compared with other biomass derived carbons, BET surface area and mass specific capacitance of GOLC prepared in this work might not be that high, but the effective areal capacitance is much high, reaching 28.8 μF/cm2at 0.2 A/g.

    Table 2 Comparison of carbon synthesized from biomass materials.

    4 Conclusions

    Green onion leaves derived carbons (GOLCs) were prepared by a simple carbonization without any external additives. Three kinds of GOLCs were prepared at different carbonization temperatures: GOLC-600, GOLC-700 and GOLC-800. All the carbons have a bimodal pore distribution of micropores and mesopores, and GOLC-800 has highest differential pore volume in both micropore and mesopore range. GOLC-800 shows the highest mass specific capacitance and specific surface area among the three.More importantly, the effective areal capacitance of GOLC-800 could reach 28.8 μF /cm2at 0.2 A/g,which is the highest among the samples reported. This is mainly due to the suitable pore distribution GOLC-800 has. In addition, the surface functional groups, especially oxygen groups on the surface of GOLC-800 induce pseudocapacitance, which could contribute to the capacitance. From XRD, EDX, TGA and FAAS analysis, Ca and K could be detected. These original mineral substances in green onion leaves act as pore-generator during the carbonization. The porous carbons derived from green onion leaves are promising electrode materials for supercapacitors, especially for small devices, in which a high areal capacitance of the electrode material is required.

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    Porous carbons produced by the pyrolysis of green onion leaves and their capacitive behavior

    YU Jing1, GAO Li-zhen1, LI Xue-lian1, WU Chao2, GAO Li-li1,3, LI Chang-ming2

    (1.SchoolofEnvironmentalScienceandEngineering,TaiyuanUniversityofTechnology,Taiyuan030024,China;2.InstituteforCleanEnergy&AdvancedMaterials,SouthwestUniversity,Chongqing400715,China;3.Labofgreenenergymaterialsandstoragesystems,TaiyuanUniversityofTechnology,Taiyuan030024,China)

    Porous carbons were prepared by the simple carbonization of green onion leaves at temperatures from 600 to 800 ℃ and used as the electrode materials of supercapacitors. SEM, FESEM, EDX, AAS, XRD, TGA and nitrogen adsorption were used to characterize their morphology, pore structure and surface elemental composition. Cyclic voltammetry, electrochemical impedance spectroscopy and galvanostatic charge/discharge were carried out to evaluate their specific capacitance, resistance and cycling life. Results showed that the initial mineral elements present in the leaves such as calcium (Ca) and potassium (K) play an activating role during the carbonization. All samples have a bimodal pore distribution of micropores (mainly 0.6-1.2 nm) and mesopores (mainly 3-5 nm). The carbon prepared at 800 ℃ had the highest surface area of 551.7 m2/g, a specific capacitance of 158.6 F/g at 0.2 A/g and an effective areal capacitance of 28.8 μF/cm2. The effective areal capacitance of the carbon prepared at 800 ℃ is higher than of most porous carbons reported in the literature, which is ascribed to its pore size distribution that favors ion access to its pores.

    Porous carbon; Green onion leaves; One-step carbonization and activation; Effective areal capacitance

    GAO Li-li, Post-doctor, Lecturer. E-mail: gaolili@tyut.edu.cn

    山西省青年科技研究基金資助項(xiàng)目(2013021011-3);山西省留學(xué)人員科研基金資助項(xiàng)目(2013-041);太原理工大學(xué)人才引進(jìn)資助項(xiàng)目(tyut-rc201110a).

    高麗麗,博士后,講師. E-mail:gaolili@tyut.edu.cn

    1007-8827(2016)05-0475-10

    X712

    A

    10.1016/S1872-5805(16)60026-4

    Receiveddate: 2016-06-10;Reviseddate: 2016-07-28

    Foundation: Shanxi Province Science Foundation for Youths (2013021011-3); Shanxi Scholarship Council of China (2013-041); Project for Importing Talent of Taiyuan University of Technology(tyut-rc201110a).

    English edition available online ScienceDirect ( http:www.sciencedirect.comsciencejournal18725805 ).

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