Skip to main content
ACS Omega logoLink to ACS Omega
. 2021 Apr 9;6(15):10486–10496. doi: 10.1021/acsomega.1c01218

Process Optimization and Modeling of Microwave Roasting of Bastnasite Concentrate Using Response Surface Methodology

Qiyuan Zheng †,, Yanhui Xu †,*, Shengfeng Ma †,*, Yu Tian †,, Weihua Guan , Yu Li
PMCID: PMC8153756  PMID: 34056201

Abstract

graphic file with name ao1c01218_0018.jpg

The investigation of the dielectric properties of bastnasite concentrate has critical directing centrality for the microwave roasting process of bastnasite concentrate. The dielectric properties are correlated with information such as thermogravimetry–differential scanning calorimetry and temperature rise curves. This combination permits a targeted study of the mechanism of the microwave roasting process, providing new evidence about the unique conditions of this microwave roasting process. This work also explores the response surface methodology based on a central composite design to optimize the microwave non-oxidative roasting process. Single-factor tests were conducted to determine the suitable range of factors such as the content of activated carbon, holding time, and roasting temperature. The interactions between parameters were investigated through the analysis of variance method. It was indicated that the models are available to navigate the design space. Also, the optimal roasting temperature, content of activated carbon, and holding time were 1100 °C, 20%, and 21.5 min, respectively. Under these conditions, the decomposition rate of bastnasite concentrate (hereinafter to be referred as DRBC) and the oxidation rate of cerium (hereinafter to be referred as ORC) was 99.8% and less than 0.3%, respectively. The new non-oxidizing roasting method significantly shortens the roasting time, reduces the energy consumption, and has great significance for industrial applications.

Introduction

Bastnasite concentrate is the most important rare-earth mineral. More than 70% of rare-earth products obtained by smelting and separation in industrial production are from bastnasite concentrate.1 Oxidative roasting decomposition of bastnasite is a mature decomposition technology for industrial applications.2 However, this method has the following drawbacks: (1) conventional electric heating or natural gas heating has high energy consumption, and the roasting process has a low energy efficiency; (2) while bastnasite decomposes, the oxidation rate of cerium (ORC) is over 96%.3 Also, (3) the leaching efficiency of Ce(IV) is always lower than that of La(III) and Nd(III)4 because Ce(IV) does not dissolve in dilute hydrochloric acid.5 When the roasting ore is dissolved in concentrated hydrochloric acid, the concentrated hydrochloric acid reduces Ce(IV) to Ce(III) and simultaneously oxidizes the chloride ion to chlorine gas which is toxic and affects the health of the operator.6 To suppress the generation of chlorine gas, it is necessary to add a reductant, which increases the production cost and affects the quality of rare-earth products. All rare-earth elements (REEs) can maintain their trivalent forms if Ce(III) is not oxidized to Ce(IV), in which case, it is not necessary to add the reductant. Therefore, the non-oxidizing roasting method can significantly reduce production costs, and less impurities enter the solution.5 Thus, a new efficient and environmentally friendly method must be developed.

Microwave irradiation heating, as an efficient heating method, has been applied in metallurgy and has become a new type of green metallurgy method.7,8 However, the dielectric properties of bastnasite concentrate and of the mixture of bastnasite concentrate and activated carbon in the microwave field have not been investigated. Dielectric properties are the critical factors that determine how microwave energy is transmitted, reflected, and absorbed. Thus, the investigation of the dielectric properties involved in the roasting process with temperature can provide important information to analyze the changes that occurred during the roasting process.

In our previous studies, these roasting process experiments are carried on a single-factor approach, the mutual effects of significant parameters influencing the rate of decomposition of bastnasite concentrate and oxidation of cerium have not been investigated in depth. Response surface methodology (RSM) using a central-composite design (CCD) is widely used to characterize the mutual effects of various parameters.912 Therefore, the interaction between the two parameters (the content of activated carbon and holding time) was explored by evaluating the RSM. Two mathematical models for response prediction were developed based on the two parameters. The response surface analysis and optimization resulted in an optimized solution for the effective decomposition of the bastnasite concentrate, while cerium remained in its trivalent form.

This paper aims to investigate the heating and dielectric properties of the mixture of bastnasite concentrate and activated carbon during the microwave roasting process and to determine the optimal microwave roasting conditions using RSM. The investigation of the heating and dielectric properties is conducive to expanding the roasting mode of the bastnasite concentrate. This paper also proposes the microwave roasting mechanism of bastnasite concentrate.

Results and Discussion

Microwave Heating Characteristics Analysis

As shown in Figure 1, the effects of the different contents of activated carbon on the heating rate of bastnasite concentrate were studied at a microwave power of 1200 W and a frequency of 2.45 GHz. The results indicated that the heating rate of bastnasite concentrate was very slow. When the content of activated carbon was more than 10%, the temperature of the mixture rapidly rose to 1100 °C. The temperature rise curves are similar to those reported by other researchers.7 It is generally accepted that a higher holding temperature helps to accelerate the decomposition reaction of the bastnasite concentrate.13 Therefore, the optimal holding temperature was set to 1100 °C. It can be seen that the temperature rise curves of the mixture are clearly in two stages, the heating rate after exceeding 427 °C is significantly higher than that of the heating rate before 427 °C. This is because the absorbing properties of the bastnasite concentrate change with the temperature and the nature of the bastnasite concentrate.7

Figure 1.

Figure 1

Temperature rise curve of different contents of activated carbon (1200 W, 2.45 GHz).

The above phenomena should be further analyzed together with the results of thermogravimetry (TG) and differential scanning calorimetry (DSC) measurements. As shown in Figure 2, bastnasite concentrate starts to decompose at 427 °C, which agrees well with the temperature of the deflection point of the heating curve in Figure 1. The decomposition products of bastnasite concentrate are RE2O3 and REF3, as shown in reaction eqs 1 and 2. It can be inferred that the decomposition products of bastnasite concentrate may affect the heating properties of the mixture. Therefore, as the phase change of bastnasite concentrate occurs, the temperature rise curve of the mixture may show a robust change.

graphic file with name ao1c01218_m001.jpg 1
graphic file with name ao1c01218_m002.jpg 2

Figure 2.

Figure 2

TG–DSC analysis of bastnasite concentrate.

The responsiveness of minerals to microwaves at different temperatures ought to be decided by considering the dielectric properties of the minerals.14 Therefore, the dielectric properties of bastnasite concentrate and the mixture of bastnasite concentrate and activated carbon require further investigation.

Figure 3 shows the dielectric properties (ε′, ε″, and tan δ) of bastnasite concentrate and the mixture of bastnasite concentrate and activated carbon as a function of temperature. The relative dielectric constant (ε′) reflects the energy conversion ability from the microwave field to be absorbed in the minerals. Relative dielectric loss factor (ε″) represents the degree of loss of material to the external electric fields. The ability of the minerals to transform microwave power into thermal energy is expressed as the tangent of dielectric loss (tan δ),14,15 as shown in eq 3. In general, minerals that have a high tangent of dielectric loss can be rapidly heated by microwave.

graphic file with name ao1c01218_m003.jpg 3

Figure 3.

Figure 3

(a) Relative dielectric constant (ε′), (b) relative dielectric loss factor (ε″), and (c) tangent of dielectric loss (tan δ) of bastnasite concentrate and the mixture of bastnasite concentrate and activated carbon (2460 MHz).

As shown in Figure 3, the dielectric properties of bastnasite concentrate and the mixture of bastnasite concentrate and activated carbon increase as temperature increases. In Figure 3a, the relative dielectric constant (ε′) of bastnasite concentrate is significantly lower than those of the mixture of bastnasite concentrate and activated carbon. Specifically, the range of relative dielectric constant of bastnasite concentrate is 1.831–2.201, the variation range of the mixture of 10% activated carbon added is 2.381–2.895, and the variation range of the mixture of 20% activated carbon added is 2.53–3.199. The above information indicates that activated carbon effectively improved the dielectric properties of bastnasite concentrate.

This can be seen in Figure 3b,c, when the roasting temperature is below the initial decomposition temperature (427 °C), the relative dielectric loss factor and tangent of dielectric loss of bastnasite concentrate are below that for the mixture of bastnasite concentrate and activated carbon. However, the relative dielectric loss factor and tangent of dielectric loss of the mixture of bastnasite concentrate and activated carbon are close to those of the bastnasite concentrate as the temperature rises above 427 °C. When the roasting temperature was higher than 427 °C, the bastnasite concentrate begins to decompose, which is consistent with the sudden change in temperature of the dielectric properties. As a result, the conversion of microwave energy into heat is significantly enhanced when bastnasite concentrate is decomposed. One possible reason for this is that bastnasite concentrate was decomposed to RE2O3 and REF3, thus improving the dielectric properties.

Hence, it is sensible to assume that the mixture of bastnasite concentrate and activated carbon is capable of converting microwave energy into heat mainly due to the presence of activated carbon, RE2O3, and REF3.

To verify the above inference, the temperature rise curve of rare-earth oxide heating by microwave irradiation was studied. It can be seen from Figure 4 that lanthanum–cerium mixed oxide, praseodymium–neodymium mixed oxide, and mixed rare-earths oxide have a similar rise curve with the mixture of bastnasite concentrate and activated carbon. The deflection point temperatures of lanthanum–cerium mixed oxide and praseodymium–neodymium mixed oxide are 327 and 453 °C, respectively. However, the deflection point temperature of mixed rare-earth oxides is 418 °C. Excluding temperature measurement errors of the microwave equipment, the deflection point temperature of the mixture of bastnasite concentrate and activated carbon and mixed rare earth oxides is the same as the decomposition temperature of the bastnasite and the deflection point of the tangent of dielectric loss. It can be inferred that a rare-earth oxide has a good absorbing microwave performance. The deflection point on the temperature rise curve is due to the formation of the rare-earth oxide. Due to the coexistence of activated carbon and rare-earth oxides, the mixture could quickly heat up to 1100 °C in a short time and also could maintain the roasting temperature of 1100 °C.

Figure 4.

Figure 4

Temperature rise curve of rare-earth oxide (1200 W).

In summary, the ability to quickly heat the mixture of bastnasite concentrate and activated carbon after 427 °C is largely dependent on the efficient response of the activated carbon and rare-earth oxides in the mixture to microwaves.

Effect of Different Contents of Activated Carbon on ORC

As shown in Figure 5, the effects of holding time on ORC were studied. When the content of activated carbon was 10%, the results indicated that ORC at time spans of 5, 20, and 40 min were 0.2, 26.2, 54.9%, respectively. When the content of activated carbon was 15%, the oxidation rate began to increase after the holding time exceeded 20 min. When the content of activated carbon was 20%, the oxidation rate was less than 1.3% within 40 min, and it can be considered that most of Ce(III) was not oxidized to Ce(IV). Thus, the content of activated carbon is positively correlated with the holding time for maintaining Ce(III).

Figure 5.

Figure 5

Effect of different contents of activated carbon on ORC (T = 1100 °C, 1200 W).

Effect of Holding Time on DRBC and ORC

The holding time range was selected from 0 to 50 min and is shown in Figure 6. With the gradual extension of holding time, the decomposition rate was gradually increased and reached 99.3% at 20 min. When the holding time exceeded 20 min, the decomposition rate decreased obviously. However, the decomposition rate of bastnasite concentrate (DRBC) was slightly increased when the heating time was up to 40 min. Also, ORC was constant and remained below 0.3% in the first 30 min. It can be assumed that Ce2O3 was not oxidized to CeO2. Nevertheless, the ORCs were 1.3 and 15.6% at holding times of 40 and 50 min, respectively. When oxidation of trivalent cerium occurs, it indicates that the activated carbon has been exhausted.13

Figure 6.

Figure 6

Effect of holding time on DRBC and ORC (T = 1100 °C, content of activated carbon = 20%, 1200 W).

Scanning electron microscopy (SEM) analysis of roasting ore at 20 and 40 min is shown in Figure 7A,B, respectively. With the extension of the holding time, the roasted ore exhibited severe sintering, which coincided with the decrease in DRBC at the holding time of 30 min. After 30 min, the decomposition rate was slightly increased. This is because ORC increased as the holding time increased. The complex form of Ce4+ with F could be [CeFx]4–x and the complex [CeFx]4–x can facilitate the leaching of roasted ore in hydrochloric acid solution. This in turn is reflected in the increase in decomposition rate.13

Figure 7.

Figure 7

SEM image of bastnasite concentrate roasted at 1100 °C for 20 (A) and 40 min (B).

Optimization of Experimental Conditions Based on RSM

RSM is a statistical method to solve multivariate problems by using reasonable experimental design methods and obtaining certain data through experiments, using multiple quadratic regression equations to fit the functional relationship between factors and response values, and seeking the optimal process parameters through the analysis of the regression equations.1619 Therefore, we use the RSM to optimize the microwave non-oxidation roasting process.

According to the above single factor test results, when the content of activated carbon was more than 10%, the mixture could be heated to 1100 °C within 15 min. However, when the content of activated carbon was higher than 20%, the cost would be significantly increased. In order to obtain a high decomposition rate without Ce(III) being oxidized, the holding time needs to be more than 10 min to ensure that the bastnasite concentrate can be effectively decomposed. The holding time also needs to be less than 40 min to ensure that Ce(III) was not oxidized. Therefore, the variation interval of the holding time was set to 10–40 min, and the variation interval of activated carbon content was set to 10–20% to conduct the experimental studies.

The model uses the codes Y1 for DRBC and Y2 for ORC. The independent variables in the CCD model were coded as (holding time) X1 and (the contents of activated carbon) X2, respectively; the high, center, and low levels of Xi are 1, 0, and −1, respectively, as shown in Table 1.

Table 1. Independent Variables for Selected Ranges and Corresponding Levels.

  factor level
independent variables a –1 0 +1 +a
X1 holding time (min) 3.7868 10 25 40 46.2132
X2 contents of activated carbon (%) 7.9289 10 15 20 22.0711

The results of 13 experimental runs are presented in Table 2. The experimental results were calculated using Design Expert 8.0.5 software, and Y1 and Y2 models were fitted by multiple linear regression. Design Expert 8.0.5 software establishes reliable predictive models by statistically analyzing the response variables to determine the optimal operating conditions. The variance analysis (ANOVA) results of the RSM are presented in Tables 3 and 4.

Table 2. Thirteen Sets of Experimental Results and Predicted Responses for Y1 and Y2.

  code and level of factors
decomposition rate of bastnasite concentrate Y1 (%)
oxidation rate of cerium Y2 (%)
run order X1 X2 experimental predicted experimental predicted
1 –1.414 0 92.1 92.20 0.30 1.24
2 0 –1.414 93.4 93.31 52.90 43.14
3 0 0 99.9 99.38 24.50 18.99
4 1 –1 94.5 94.72 53.90 59.37
5 0 0 99.0 99.38 15.40 18.99
6 0 1.414 99.2 99.38 0.30 –5.15
7 –1 1 93.1 93.05 0.30 0.11
8 0 0 99.2 99.11 16.60 18.99
9 0 0 99.4 99.38 18.30 18.99
10 1.414 0 95.9 95.62 39.50 36.75
11 1 1 97.6 97.82 1.30 3.72
12 –1 –1 94.7 94.65 9.90 12.76
13 0 0 99.4 99.38 13.70 18.99

Table 3. Y1 Response Surface Variance Analysis (ANOVA) and Significance Test.

source sum of squares df mean square F-value p-value  
model 97.25 6 16.21 148.83 <0.0001 significant
X1 11.7 1 11.7 107.42 <0.0001  
X2 16.82 1 16.82 154.44 <0.0001  
X1X2 5.52 1 5.52 50.71 0.0004  
X12 51.99 1 51.99 477.37 <0.0001  
X22 17.45 1 17.45 160.22 <0.0001  
X12X2 5.62 1 5.62 51.56 0.0004  
residual 0.65 6 0.11      
lack of fit 0.21 2 0.1 0.92 0.4701 not significant
pure error 0.45 4 0.11      
cor total 97.9 12        

Table 4. Y2 Response Surface Variance Analysis (ANOVA and Significance Test.

source sum of squares df mean square F-value p-value  
model 4055.23 3 1351.74 47.72 <0.0001 significant
X1 1260.95 1 1260.95 44.51 <0.0001  
X2 2332.02 1 2332.02 82.32 <0.0001  
X1X2 462.25 1 462.25 16.32 0.0029  
residual 254.96 9 28.33      
lack of fit 185.86 5 37.17 2.15 0.2389 not significant
pure error 69.1 4 17.27      
cor total 4310.19 12        

The model F-values of 148.83 and 47.72 imply that the models of DRBC (model 1) and ORC (model 2) are significant. There is only a 0.01% chance that a “model F value” this large could occur due to noise. Values of “prob > F” less than 0.0500 indicate that the model terms are significant. In this case, X1, X2, X1·X2, X12, X22, X12·X2 (model 1) and X1, X2, X1·X2 (model 2) are significant model terms. Values greater than 0.1000 indicate that the model terms are not significant. The “lack of fit p-values” of 0.4701 (model 1) and 0.2389 (model 2) imply that the “lack of fit p-value” is not significant, which indicates that the suggested model fits well. The “lack of fit F-values” of 0.92 (model 1) and 2.15 (model 2) implies that the lack of fit is not significant relative to the pure error. There are 47.01% (model 1) and 23.89% (model 2) chances that “lack of fit F-value” this large could occur due to noise. The results of model 1 summary statistics showed the closed R2 value of 0.9933 and Radj2 value of 0.9867, and the results of model 2 summary statistics showed the closed R2 value of 0.9408 and Radj value of 0.9211, which indicated their dependability in the prediction of response. The Rpred2 values of 0.9597 (model 1) and 0.8535 (model 2) are in reasonable agreement with the Radj of 0.9867 (model 1) and 0.9211 (model 2), respectively. A ratio greater than 4 is desirable. The ratios of model 1 (29.640) and model 2 (21.855) indicate an adequate signal. Models 1 and 2 can be used to navigate the design space. The mathematical models 1 and 2 are given by eqs 4 and 5.

graphic file with name ao1c01218_m004.jpg 4
graphic file with name ao1c01218_m005.jpg 5

Figures 8 and 10 show a comparison of the predicted and actual values of DRBC and ORC, respectively. The results showed that the experimental results were distributed relatively close to the straight line, and there was a good agreement between the predicted and experimental results. Thus, the CCD models were consistent with the experimental data. It was shown that the predicted model could accurately study the experimental parameters. As shown in Figures 9 and 11, almost all standardized residuals were randomly dispersed in the figure by about ±2.00. From the studies, the predictive models were proposed that exhibited good consistency with the experimental data.

Figure 8.

Figure 8

Comparison of the actual values and predicted values for Y1.

Figure 10.

Figure 10

Comparison of the actual values and predicted values for Y2.

Figure 9.

Figure 9

Plot of the internal residuals vs the number of experimental runs.

Figure 11.

Figure 11

Plot of the internal residuals vs the number of experimental runs.

Figure 12 shows the effect of the interaction between the contents of activated carbon and holding time on DRBC. The region highlighted in red shows the highest DRBC. It could be seen from the response surface diagram that with the holding time increased, DRBC increased first and then decreased. Also, with the increase in the contents of activated carbon, DRBC tended to increase to 99.9%. The highest point on the response surface corresponds to the optimum holding time and the contents of activated carbon.

Figure 12.

Figure 12

Two-factor interaction and its influence on DRBC.

Figure 13 shows the effect of the interaction between the contents of activated carbon and holding time on ORC. The blue region shows the lowest oxidation rate. It could be seen from the response surface diagram that as the holding time increased, the oxidation rate gradually increased. With the contents of activated carbon gradually increased, ORC tended to decrease slowly. It is indicated that the holding time is the main influencing factor of the cerium oxidation rate. Thus, shorter holding times and more activated carbon added corresponds to the lowest point on the response surface.

Figure 13.

Figure 13

Two-factor interaction and its influence on ORC.

RSM Prediction and Experimental Verification

The optimization process of the response surface experiment was verified by experiments. Because the accuracy of experimental equipment to control holding time was limited, the holding time (X1) in the optimal experimental results was set to 21.3 and 21.5 min, respectively. The results are shown in Table 5. The relative error between the actual value and the predicted value was about 1%, which indicated that the experimental results could be predicted accurately by response surface analysis and optimization.

Table 5. Optimization Solutions of Y1 and Y2.

solution number X1 (min) X2 (%) Y1 predicted value (%) Y2 predicted value (%) Y1 actual value (%) Y2 actual value (%)
1 21.33 20 99.0000 1.47749 99.8 <0.3
2 21.58 20 99.0755 1.50798 99.6 <0.3

According to optimization results and actual experimental data, the optimal roasting condition was determined as follows: roasting temperature of 1100 °C, contents of activated carbon of 20%, and holding time of 21.5 min. DRBC and ORC were 99.8% and less than 0.3%, respectively.

XRD Analysis of Non-oxidative Roasting Ore

The non-oxidative roasting ore used for X-ray diffraction (XRD) analysis was obtained under the optimal roasting conditions. As shown in Figure 14, the XRD pattern of the non-oxidative roasting ore demonstrated that the main phase was rare-earth oxides (represented by Nd2O3 and CeO1.675 in the XRD pattern). Moreover, no diffraction peaks of bastnasite and parisite were found, indicating that bastnasite and parisite had been completely decomposed into earth oxides.

Figure 14.

Figure 14

XRD analysis of non-oxidative roasting ore.

Conclusions

In this paper, a microwave roasting mechanism is presented for the mixture of bastnasite concentrate and activated carbon. The effective heating of the mixture of bastnasite concentrate and activated carbon by microwave is largely dependent on the efficient response of the activated carbon and rare-earth oxides to microwaves. Due to the coexistence of activated carbon and rare earth oxides, the mixture could quickly heat up to 1100 °C in a short time and also could maintain the roasting temperature of 1100 °C. The microwave non-oxidative roasting method is not only significantly shortening the roasting time but also reducing the energy consumption to roast bastnasite concentrate by microwave irradiation, more importantly realizing the decomposition of bastnasite concentrate and preventing Ce(III) oxidization to Ce(IV). DRBC and ORC were 99.8% and less than 0.3%, respectively. The non-oxidative decomposition of bastnasite concentrate removes the greatest hazards and reduces energy consumption.

Experimental Section

Raw Ores and Reagents

The bastnasite concentrate used in this experiment was supplied by China Northern Rare Earth (Group) Hi-Tech Co. Ltd. and was dried at 110 °C for 4 h to remove the free moisture water. The analytical grade reagents were used in the experiment, including activated carbon and hydrochloric acid. All aqueous solutions were prepared with distilled water. The main chemical components of bastnasite concentrate were analyzed and are listed in Table 6.

Table 6. Chemical Composition of Bastnasite Concentrate (Mass Fraction, %).

composition REO CaO Al2O3 PbO ZnO PO43– SrO F MgO ThO2
content (%) 55.86 10.61 0.19 0.19 0.012 1.58 1.50 3.43 0.35 0.10

As shown in Figure 15, the XRD pattern of bastnasite concentrate demonstrated that the main phase was bastnasite and parisite (represented by CeFCO3 and CaCe(CO3)2F in the XRD pattern). It was consistent with the analysis results of the chemical components shown in Table 6.

Figure 15.

Figure 15

XRD pattern of bastnasite concentrate.

Dielectric Testing Equipment and Measurement Principles

Currently, there are three major methods used to measure the dielectric properties of powder samples, such as the opening method, resonant cavity perturbation method, and free space method.2023 Among them, the resonant cavity perturbation method is a comparatively precise method to measure the dielectric properties.14,24,25 Therefore, we chose the cavity perturbation method to measure the sample’s dielectric properties. The measuring principle of the cavity perturbation method is based on the determination of the quality factor (QF) and the resonant frequency before and after loading, and the calculation of the dielectric properties based on the difference between the QF and the resonant frequency of the sample before and after loading.26

The dielectric properties testing system and the monomode microwave equipment worked in this series of experiments were from the Key Laboratory of Unconventional Metallurgy, Ministry of Education, Kunming University of Science and Technology, China. The dielectric properties testing system is shown in Figure 16a. It consists of four main components: vector network analyzer (Agilent-N5230C, MYWAVE), resonant cavity (TM0n0), a computer with HFSS simulation software, and temperature control.14,25 The dielectric properties were tested using the dielectric properties testing equipment, the microwave frequency was set to 2450 MHz, setting the test temperature from 25 to 700 °C. The interval of test temperature was 50 °C/step. The mixture of bastnasite concentrate and activated carbon was placed inside a quartz tube, and the mass and volume of the mixture were measured to ensure that the apparent density of each test sample is the same. The procedure for measuring the dielectric properties is as follows: first, the device was adjusted to minimize the error, and the unloaded QF of the resonant cavity (TM0n0) is approximately 10,000; second, an empty quartz tube was placed in the resonant cavity (TM0n0), and the resonant frequency and QF of the resonant cavity (TM0n0) were recorded by the Agilent N5230C vector network analyzer; third, the mixture of bastnasite concentrate and activated carbon was placed in a quartz tube and heated by an induction furnace. Once the preset temperature was reached, the quartz tube was swiftly raised into the resonant cavity (TM0n0), after which the Agilent N5230C vector network analyzer recorded the QF and the resonant frequency; finally, the HFSS simulation software calculated the dielectric loss tangent and the complex permittivity by analyzing the QF and the resonant frequency that had been recorded.14

Figure 16.

Figure 16

Dielectric properties’ testing system (a) and monomode microwave equipment (b).

Regarding the maximum temperature, the results of the dielectric properties are usually only available up to a few hundred degrees. This temperature limitation is mainly due to the increased radiation loss at higher temperatures but also due to the practical limitations of commercially available measurement equipment.27

Experimental Process and Analysis

The monomode microwave equipment is shown in Figure 16b. Experiments of roasting decomposition of bastnasite concentrate with microwave heating were conducted at a power of 1200 W and a frequency of 2.45 GHz. The bastnasite concentrate was mixed with activated carbon by mixed grinding. The mixture was placed in a 50.0 mm diameter corundum crucible and then put in the center of the box microwave furnace for roasting. The K-type thermocouple was inserted into the center of the mixture in the microwave roasting process, and the temperature was measured continuously.13 After the roasting experiment, the corundum crucible was removed and the roasted ore was ground for leaching.

Experimental Analysis

XRD analysis was carried out on the PW-1700 X-ray diffractometer (Philips, Netherlands) with Cu Kα source (k = 1.5418 Å) operating at 40 kV with a scanning speed of 0.2°/min. The microstructures of bastnasite concentrate and roasting ore were analyzed using the Sigma-500 field-emission scanning electron microscope (Zeiss, Germany), and the mineral composition analysis was analyzed using an XFlash-6160 spectrometer (Brook). The amounts of REEs in the leaching filtrate were determined using inductively coupled plasma atomic emission spectrometry and presented by oxides. The simultaneous thermal analyzer of STA-449C was employed to achieve the curve of TG–DSC. The bastnasite concentrate was placed in an alumina crucible and was heated to 1000 °C from 20 °C at the rate of 10 °C/min.

The amounts of Ce4+ in roasted ore were determined by titration with ferrous ammonium sulfate without the addition of perchloric acid.28 DRBC were expressed by hydrochloric acid leaching experiments carried out under the condition that is 9.0 mol/L HCl, temperature 90 °C, time 60 min, liquid–solid 20:1, and stirring rate 300 rpm.13 DRBC (μ) and ORC (φ) were calculated with the following equations

graphic file with name ao1c01218_m006.jpg 6
graphic file with name ao1c01218_m007.jpg 7

where μ and φ are DRBC and ORC, respectively; m1 is the mass of the roasted ore, m2 is the mass of the bastnasite concentrate; ω1 is the mass fraction of Ce in the bastnasite concentrate, ω2 is the mass fraction of Ce4+ in the roasted ore; C1 represents the concentration of REEs in leaching filtrate, C2 represents the concentration of REEs in roasted ore; S is the mass of roasted ore, and L is the volume of hydrochloric acid solution.

Acknowledgments

The authors gratefully acknowledge funding support from the Key Program of the National Natural Science Foundation of China (grant number 51634005), the Key Program of the Natural Science Foundation of Inner Mongolia Autonomous Region of China (grant number 2016ZD03), and the Key Program of the Natural Science Foundation of Inner Mongolia Autonomous Region of China (grant number 2017MS0210).

The authors declare no competing financial interest.

References

  1. Cao Z.; Cao Y.; Qu Q.; Zhang J.; Mu Y. Separation of bastnäsite from fluorite using ethylenediamine tetraacetic acid as depressant. Miner. Eng. 2019, 134, 134–141. 10.1016/j.mineng.2019.01.030. [DOI] [Google Scholar]
  2. Zhao L.; Wang L.; Shuai G.; Long Z.; Cui D.; Huang X. Thermal decomposition and oxidation of bastnaesite concentrate in inert and oxidative atmosphere. J. Rare Earths 2018, 36, 758–764. 10.1016/j.jre.2018.01.008. [DOI] [Google Scholar]
  3. McNeice J.; Kim R.; Ghahreman A. Oxidative precipitation of cerium in acidic chloride solutions: part I–fundamentals and thermodynamics. Hydrometallurgy 2019, 184, 140–150. 10.1016/j.hydromet.2018.12.018. [DOI] [Google Scholar]
  4. Liu J.; Zhang T.-a.; Dou Z.; Liu Y.; Lv G. Mechanochemical decomposition of mixed rare earth concentrate in the NaOH-CaO-H2O system. Hydrometallurgy 2019, 189, 105116. 10.1016/j.hydromet.2019.105116. [DOI] [Google Scholar]
  5. Li M.; Zhang D.; Yan Y.; Gao K.; Liu X.; Li J. Effect of oxidation behavior of cerium during the roasting process on the leaching of mixed rare earth concentrate. Hydrometallurgy 2017, 174, 156–166. 10.1016/j.hydromet.2017.10.008. [DOI] [Google Scholar]
  6. Zhang Y.; Xu Y.; Huang X.; Long Z.; Cui D.; Hu F. Study on thorium recovery from bastnaesite treatment process. J. Rare Earths 2012, 30, 374–377. 10.1016/s1002-0721(12)60053-2. [DOI] [Google Scholar]
  7. Huang Y.; Zhang T. a.; Dou Z.; Lv G.; Han G.; Peng W. Microwave strengthens decomposition of mixed rare earth concentrate: microwave absorption characteristics. J. Rare Earths 2019, 37, 541–546. 10.1016/j.jre.2018.08.010. [DOI] [Google Scholar]
  8. Hosseini M.; Stiasni N.; Barbieri V.; Kappe C. O. Microwave-assisted asymmetric organocatalysis. A probe for nonthermal microwave effects and the concept of simultaneous cooling. J. Org. Chem. 2007, 72, 1417–1424. 10.1021/jo0624187. [DOI] [PubMed] [Google Scholar]
  9. Bezerra M. A.; Santelli R. E.; Oliveira E. P.; Villar L. S.; Escaleira L. A. Response surface methodology (RSM) as a tool for optimization in analytical chemistry. Talanta 2008, 76, 965–977. 10.1016/j.talanta.2008.05.019. [DOI] [PubMed] [Google Scholar]
  10. Li Z.-q.; Li J.; Zhang L.-b.; Peng J.-h.; Wang S.-x.; Ma A.-y.; Wang B.-b. Response surface optimization of process parameters for removal of F and Cl from zinc oxide fume by microwave roasting. Trans. Nonferrous Met. Soc. China 2015, 25, 973–980. 10.1016/s1003-6326(15)63687-1. [DOI] [Google Scholar]
  11. Mao C.; Zhang B.; Tang X.; Li H.; He S. Optimized preparation of zinc-Inorganic antibacterial material containing samarium using response surface methodology. J. Rare Earths 2014, 32, 900–906. 10.1016/S1002-0721(14)60161-7. [DOI] [Google Scholar]
  12. Ahmad A. L.; Low S. C.; Shukor S. R. A.; Ismail A. Optimization of membrane performance by thermal-mechanical stretching process using responses aurface methodology (RSM). Sep. Purif. Technol. 2009, 66, 177–186. 10.1016/j.seppur.2008.11.007. [DOI] [Google Scholar]
  13. Zheng Q.; Xu Y.; Cui L.; Ma S.; Guan W. Nonoxidative microwave radiation roasting of bastnasite concentrate and kinetics of hydrochloric acid leaching process. ACS Omega 2020, 5, 26710–26719. 10.1021/acsomega.0c03641. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Ye X.; Guo S.; Qu W.; Yang L.; Hu T.; Xu S.; Zhang L.; Liu B.; Zhang Z. Microwave field: high temperature dielectric properties and heating characteristics of waste hydrodesulfurization catalysts. J. Hazard. Mater. 2019, 366, 432–438. 10.1016/j.jhazmat.2018.12.024. [DOI] [PubMed] [Google Scholar]
  15. Makul N.; Rattanadecho P.; Agrawal D. K. Applications of microwave energy in cement and concrete—a review. Renewable Sustainable Energy Rev. 2014, 37, 715–733. 10.1016/j.rser.2014.05.054. [DOI] [Google Scholar]
  16. Pradhan S.; Madankar C. S.; Mohanty P.; Naik S. N. Optimization of reactive extraction of castor seed to produce biodiesel using response surface methodology. Fuel 2012, 97, 848–855. 10.1016/j.fuel.2012.02.052. [DOI] [Google Scholar]
  17. Martí-Calatayud M.-C.; Vincent-Vela M.-C.; Álvarez-Blanco S.; Lora-García J.; Bergantiños-Rodríguez E. Analysis and optimization of the influence of operating conditions in the ultrafiltration of macromolecules using a response surface methodological approach. Chem. Eng. J. 2010, 156, 337–346. 10.1016/j.cej.2009.10.031. [DOI] [Google Scholar]
  18. Zaib Q.; Ahmad F. Optimization of carbon nanotube dispersions in water using response surface methodology. ACS Omega 2019, 4, 849–859. 10.1021/acsomega.8b02965. [DOI] [PMC free article] [PubMed] [Google Scholar]
  19. Peng H.; Wang F.; Li G.; Guo J.; Li B. Highly efficient recovery of vanadium and chromium: optimized by response surface methodology. ACS Omega 2019, 4, 904–910. 10.1021/acsomega.8b02708. [DOI] [PMC free article] [PubMed] [Google Scholar]
  20. Sheen J.; Weng C.-M. Modifications of the cavity perturbation technique for permittivity measurements of laminated samples. IEEE Trans. Dielectr. Electr. Insul. 2016, 23, 532–536. 10.1109/tdei.2015.005170. [DOI] [Google Scholar]
  21. Vepsäläinen A.; Chalapat K.; Paraoanu G. S. Measuring the microwave magnetic permeability of small samples using the short-circuit transmission line method. IEEE Trans. Instrum. Meas. 2013, 62, 2503–2510. 10.1109/tim.2013.2259111. [DOI] [Google Scholar]
  22. Meaney P. M.; Gregory A. P.; Seppälä J.; Lahtinen T. Open-ended coaxial dielectric probe effective penetration depth determination. IEEE Trans. Microwave Theory Tech. 2016, 64, 915–923. 10.1109/TMTT.2016.2519027. [DOI] [PMC free article] [PubMed] [Google Scholar]
  23. Křesálek V.; Navrátil M. Estimation of complex permittivity using evolutionary algorithm from measured data of reflectance and transmittance in free space. Microw. Opt. Technol. Lett. 2015, 57, 1542–1546. 10.1002/mop.29135. [DOI] [Google Scholar]
  24. Tripathi M.; Sahu J. N.; Ganesan P.; Dey T. K. Effect of temperature on dielectric properties and penetration depth of oil palm shell (OPS) and OPS char synthesized by microwave pyrolysis of OPS. Fuel 2015, 153, 257–266. 10.1016/j.fuel.2015.02.118. [DOI] [Google Scholar]
  25. Lin S.; Gao L.; Yang Y.; Chen J.; Guo S.; Omran M.; Chen G. Dielectric properties and high temperature thermochemical properties of the pyrolusite-pyrite mixture during reduction roasting. J. Mater. Res. Technol. 2020, 9, 13128–13136. 10.1016/j.jmrt.2020.09.056. [DOI] [Google Scholar]
  26. Lin G.; Liu C.; Zhang L.; Hu T.; Peng J.; Li J.; Wang S. High temperature dielectric properties of spent adsorbent with zinc sulfate by cavity perturbation technique. J. Hazard. Mater. 2017, 330, 36–45. 10.1016/j.jhazmat.2017.02.010. [DOI] [PubMed] [Google Scholar]
  27. García-Baños B.; Catalá-Civera J. M.; Sánchez J. R.; Navarrete L.; López-Buendía A. M.; Schmidt L. High temperature dielectric properties of iron- and zinc-bearing products during carbothermic reduction by microwave heating. Metals 2020, 10, 693. 10.3390/met10050693. [DOI] [Google Scholar]
  28. Fu B. A.; Chen M. Q.; Li Q. H.; Song J. J. Non-equilibrium thermodynamics approach for the coupled heat and mass transfer in microwave drying of compressed lignite sphere. Appl. Therm. Eng. 2018, 133, 237–247. 10.1016/j.applthermaleng.2018.01.036. [DOI] [Google Scholar]

Articles from ACS Omega are provided here courtesy of American Chemical Society

RESOURCES