Preparation of NaA Zeolite from High Iron and Quartz Contents Coal Gangue by Acid Leaching—Alkali Melting Activation and Hydrothermal Synthesis

: In this study, NaA zeolite was successfully synthesized from coal gangue with high contents of iron and quartz as the main raw material. The results show that most iron ions can be removed from coal gangue after calcination at 700 ◦ C for 2 h, leaching in hydrochloric acid with a mass fraction of 20% for 7 h and a liquid-solid ratio of 3.5:1. When m (acid leached residue of calcined gangue): m (Na 2 CO 3 ) = 1.1 and melting at 750 ◦ C for 2 h, the quartz and other aluminosilicates turn into nepheline, which dissolve in water. Finally, the optimum conditions of synthesis NaA zeolite are as follows: n (SiO 2 )/ n (Al 2 O 3 ) = 2.0, n (Na 2 O)/ n (SiO 2 ) = 2.1, n (H 2 O)/ n (Na 2 O) = 55, aging at 60 ◦ C for 2 h, and crystallization at 94 ◦ C for 4 h. This shows that the high iron and quartz contents coal gangue can be used for the synthesis of NaA zeolite.


Introduction
Coal gangue is the main discharged waste of the coal industry [1,2]. The arbitrary stacking of it seriously influences the safety of the ecological environment [3,4]. Recently, the development and utilization of coal gangue as a kind of new resource has gained interest [5][6][7]. Many products have been prepared from coal gangue, but the common utilization methods of coal gangue are as power plant fuel [8] and to prepare building materials [9], including brick [10], cement clinker products [11] and other products. The utilization technology level is lower and the industrial added value is not high. On the other hand, zeolite synthesis often uses cheap minerals or waste, which can save the cost of raw materials. Coal gangue can be used as raw material for preparing zeolites [12,13]. In recent years, researchers have noticed the great potential of coal gangue in zeolite synthesis [14][15][16].
Zeolites are micropore and mesoporous hydrated aluminosilicates containing alkali elements, alkaline earth metals, or other cations, whose structure is built up with a framework of tetrahedral molecules, which are linked with shared oxygen atoms [17]. Due to their unique properties, zeolites have been used in many fields, such as in agriculture [18], chemical technology [19], oil refining [20], and others for their porous characteristics, ionexchange properties, and catalytic performance [21]. Many studies have succeeded in the conversion of low iron-bearing coal gangue into synthetic zeolites [22][23][24]. However, coal gangue with high iron content is a kind of material with poor quality. It is difficult to synthesize high quality zeolite because iron ions will affect the whiteness and performance of the products, therefore, there are only a few studies concerning what happens in the transformation process of the whole NaA zeolite preparation from high iron content coal gangue.

Technological Process
The coal gangue is calcined at 700 • C for 2 h and then leached by 20% (in mass) hydrochloric acid; the liquid to solid ratio is 3.5:1 (volume/mL:mass/g) at 90 • C for 7 h; and the acid leached residue is obtained after filtering and drying, and then the residue is mixed with sodium carbonate at the ratio of m (acid leaching residue):m (Na 2 CO 3 ) = 1.1, melting at 750 • C for 2 h in the muffle, by adjusting the reacting proportion and aging; the hydrothermal crystallization is completed under the stirring condition of 94 • C for several hours, and NaA powder zeolite is obtained after washing and drying.
The preparation process of NaA zeolites from high-iron content coal gangue is shown in Figure 1.

Major Chemical Elements Analysis of Coal Gangue and the Acid Leached Residue
The raw coal gangue and the acid leached residue are dried at 105 °C for 12 h [29], the main compositions are shown in Table 1.

Major Chemical Elements Analysis of Coal Gangue and the Acid Leached Residue
The raw coal gangue and the acid leached residue are dried at 105 • C for 12 h [29], the main compositions are shown in Table 1. We can see from Table 1 that the main compositions of the gangue are silicon, aluminum, and iron; obviously the iron element content is too high, which will affect the properties of the NaA product, so it must be removed. After acid leaching by hydrochloric acid, the major chemical elements of the residue are silicon and aluminum; the contents of other elements are low, n(SiO 2 )/n(Al 2 O 3 ) = 13.46, compared with NaA zeolite (n(SiO 2 )/n(Al 2 O 3 ) = 2.0), so it is necessary for NaAlO 2 to adjust the n(SiO 2 )/n(Al 2 O 3 ) ratio of the system. The morphology analyses of the gangue powder, calcined gangue, and residue are shown in  We can see from Table 1 that the main compositions of the gangue are silicon, alum num, and iron; obviously the iron element content is too high, which will affect the prop erties of the NaA product, so it must be removed. After acid leaching by hydrochlori acid, the major chemical elements of the residue are silicon and aluminum; the content of other elements are low, n(SiO2)/n(Al2O3) = 13.46, compared with NaA zeolit (n(SiO2)/n(Al2O3) = 2.0), so it is necessary for NaAlO2 to adjust the n(SiO2)/n(Al2O3) ratio o the system.
The morphology analyses of the gangue powder, calcined gangue, and residue ar shown in Figures 2-5.    We can see from Table 1 that the main compositions of the gangue are silicon, alum num, and iron; obviously the iron element content is too high, which will affect the prop erties of the NaA product, so it must be removed. After acid leaching by hydrochlori acid, the major chemical elements of the residue are silicon and aluminum; the content of other elements are low, n(SiO2)/n(Al2O3) = 13.46, compared with NaA zeolit (n(SiO2)/n(Al2O3) = 2.0), so it is necessary for NaAlO2 to adjust the n(SiO2)/n(Al2O3) ratio o the system.
The morphology analyses of the gangue powder, calcined gangue, and residue ar shown in Figures 2-5.    We can see from Table 1 that the main compositions of the gangue are silicon, alumi num, and iron; obviously the iron element content is too high, which will affect the prop erties of the NaA product, so it must be removed. After acid leaching by hydrochlori acid, the major chemical elements of the residue are silicon and aluminum; the content of other elements are low, n(SiO2)/n(Al2O3) = 13.46, compared with NaA zeolit (n(SiO2)/n(Al2O3) = 2.0), so it is necessary for NaAlO2 to adjust the n(SiO2)/n(Al2O3) ratio o the system.
The morphology analyses of the gangue powder, calcined gangue, and residue ar shown in Figures 2-5.     As seen, the particles of raw gangue powder are relatively uniform at 15-20 μm or larger in Figure 2; after calcination, the particle size decreases and fragments appear. After acid leaching, the number of flaky debris increases significantly. Most particle sizes are less than 5 μm, which is due to the overflow of water in coal gangue after calcination. Moreover, kaolinite decomposes into amorphous Al2O3 and SiO2, at 700 °C; most of the iron content and part of Al2O3 are dissolved in the acid solution.
In order to observe the particle morphology of acid-leached residue more clearly, we enlarged a region in Figure 4 and marked it red, then got Figure 5. Figure 5 shows that many small particles become smoother, this is because the edges and corners of some particles are worn off by stirring, which makes the raw material more fragmented, so it is conducive to the alkali-melting reaction in the next step. Figure 6 shows that the crystal substances in the coal gangue mainly contain kaolinite and quartz, as well as a small amount of pyrite and siderite. Table 1 shows that the iron element content in the coal gangue is very high, but the diffraction peaks of iron-containing materials are very weak in Figure 6, which indicates that the iron materials are amorphous. After calcination, kaolinite turns into metakaolin, its crystal structure is destroyed, and the carbon in coal gangue is removed.  As seen, the particles of raw gangue powder are relatively uniform at 15-20 µm or larger in Figure 2; after calcination, the particle size decreases and fragments appear. After acid leaching, the number of flaky debris increases significantly. Most particle sizes are less than 5 µm, which is due to the overflow of water in coal gangue after calcination. Moreover, kaolinite decomposes into amorphous Al 2 O 3 and SiO 2 , at 700 • C; most of the iron content and part of Al 2 O 3 are dissolved in the acid solution.

Phase Analysis of the Residue and Activation Product
In order to observe the particle morphology of acid-leached residue more clearly, we enlarged a region in Figure 4 and marked it red, then got Figure 5. Figure 5 shows that many small particles become smoother, this is because the edges and corners of some particles are worn off by stirring, which makes the raw material more fragmented, so it is conducive to the alkali-melting reaction in the next step. Figure 6 shows that the crystal substances in the coal gangue mainly contain kaolinite and quartz, as well as a small amount of pyrite and siderite. Table 1 shows that the iron element content in the coal gangue is very high, but the diffraction peaks of iron-containing materials are very weak in Figure 6, which indicates that the iron materials are amorphous. After calcination, kaolinite turns into metakaolin, its crystal structure is destroyed, and the carbon in coal gangue is removed. As seen, the particles of raw gangue powder are relatively uniform at 15-20 μm or larger in Figure 2; after calcination, the particle size decreases and fragments appear. After acid leaching, the number of flaky debris increases significantly. Most particle sizes are less than 5 μm, which is due to the overflow of water in coal gangue after calcination. Moreover, kaolinite decomposes into amorphous Al2O3 and SiO2, at 700 °C; most of the iron content and part of Al2O3 are dissolved in the acid solution.

Phase Analysis of the Residue and Activation Product
In order to observe the particle morphology of acid-leached residue more clearly, we enlarged a region in Figure 4 and marked it red, then got Figure 5. Figure 5 shows that many small particles become smoother, this is because the edges and corners of some particles are worn off by stirring, which makes the raw material more fragmented, so it is conducive to the alkali-melting reaction in the next step. Figure 6 shows that the crystal substances in the coal gangue mainly contain kaolinite and quartz, as well as a small amount of pyrite and siderite. Table 1 shows that the iron element content in the coal gangue is very high, but the diffraction peaks of iron-containing materials are very weak in Figure 6, which indicates that the iron materials are amorphous. After calcination, kaolinite turns into metakaolin, its crystal structure is destroyed, and the carbon in coal gangue is removed. The quartz is inert and it is difficult for it to participate in the crystallization reaction directly, so it must to be activated before the crystallization reaction. Therefore, according to the mass ratio of m (acid leached residue):m (sodium carbonate) = 1:1.1, after mixing the sodium carbonate evenly with the residue, the mixture is melted at 750 • C for 2 h, then the melted powder is analyzed by XRD and added to the water to be fully grinded then filtered; the XRD analyses are shown in Figure 7. The quartz is inert and it is difficult for it to participate in the crystallization reaction directly, so it must to be activated before the crystallization reaction. Therefore, according to the mass ratio of m (acid leached residue) : m (sodium carbonate) = 1:1.1, after mixing the sodium carbonate evenly with the residue, the mixture is melted at 750 °C for 2 h, then the melted powder is analyzed by XRD and added to the water to be fully grinded then filtered; the XRD analyses are shown in Figure 7.   Figure 7 shows that the alkali melted product is mainly nepheline (nepheline, PDF card number: 76-1733), its chemical formula is NaAlSiO4, and the main reaction equations of acid-leached filter residue with sodium carbonate at 750 °C are as follows:

Phase Analysis of the Residue and Activation Product
Na2CO3 + SiO2 = Na2SiO3 + CO2↑ (1) Al2O3·2 SiO2 + Na2CO3 = 2 NaAlSiO4 + CO2↑ (2) The metakaolin and quartz, which contain silicon and aluminum substances, can react with Na2CO3 at 750 °C, and nepheline can dissolve in water, so it can be used as silicon and aluminum sources to synthesize NaA zeolite. Therefore, this method can completely activate the quartz in the acid-leached residue; it not only takes full advantage of the silicon and aluminum sources in the residue but also avoids the quartz entering NaA zeolite products, which increases the quality of NaA products, so the soluble intermediate product NaAlSiO4 with higher chemical activity is beneficial to the hydrothermal crystallization reaction.
The rest filter residue contains amorphous SiO2 and Al2O3, they both have high chemical activity and can react with sodium aqueous solution in the hydrothermal synthesis period; the reactions are as follows: SiO2 + 2 NaOH = Na2SiO3 + H2O (3) Al2O3 + 2 NaOH = 2 NaAlO2 + H2O (4) Figure 7. XRD spectra of alkali-melted product and its water washing filter residue. Figure 7 shows that the alkali melted product is mainly nepheline (nepheline, PDF card number: 76-1733), its chemical formula is NaAlSiO 4 , and the main reaction equations of acid-leached filter residue with sodium carbonate at 750 • C are as follows: The metakaolin and quartz, which contain silicon and aluminum substances, can react with Na 2 CO 3 at 750 • C, and nepheline can dissolve in water, so it can be used as silicon and aluminum sources to synthesize NaA zeolite. Therefore, this method can completely activate the quartz in the acid-leached residue; it not only takes full advantage of the silicon and aluminum sources in the residue but also avoids the quartz entering NaA zeolite products, which increases the quality of NaA products, so the soluble intermediate product NaAlSiO 4 with higher chemical activity is beneficial to the hydrothermal crystallization reaction.
The rest filter residue contains amorphous SiO 2 and Al 2 O 3 , they both have high chemical activity and can react with sodium aqueous solution in the hydrothermal synthesis period; the reactions are as follows: Na 2 SiO 3 and NaAlO 2 can be used as the active silicon source and aluminum sources to synthesis NaA zeolite. Because the synthesis of NaA zeolite is closely related to

Effects of n(SiO 2 )/n(Al 2 O 3 ) on the Product Phase
Setting the reaction system to n(H 2 O)/n(Na 2 O) = 50; n(Na 2 O)/n(SiO 2 ) = 1.2; aging at 50 • C for 1 h; crystallization at 94 • C for 4 h,; and changing n(SiO 2 )/n(Al 2 O 3 ) = 1.0, 1.5, 2.0, and 2.5 respectively, after hydrothermal crystallization reaction, the XRD analyses are shown in Figure 8. Na2SiO3 and NaAlO2 can be used as the active silicon source and aluminum sources to synthesis NaA zeolite. Because the synthesis of NaA zeolite is closely related to n(SiO2)/n(Al2O3), n(Na2O)/n(SiO2), n(H2O)/n(Na2O), aging temperature, and crystallization time, so the experiments focused on these five factors.
In Figure 9, the intensity of these spectra is high and their shapes are similar. This is because n(Na 2 O)/n(SiO 2 ) works together with n(H 2 O)/n(Na 2 O); they change the alkalinity of the solution and affect the growth rate of zeolite. When the n(Na 2 O)/n(SiO 2 ) ratio is larger, the system alkalinity is higher, which promotes the dissolution rate of the materials and the growth rate of NaA zeolite crystal; when n(Na 2 O)/n(SiO 2 ) = 2.1, the intensity of diffraction peaks is high and there are no other miscellaneous crystals, so n(Na 2 O)/n(SiO 2 ) = 2.1 is selected. In Figure 9, the intensity of these spectra is high and their shapes are similar. This is because n(Na2O)/n(SiO2) works together with n(H2O)/n(Na2O); they change the alkalinity of the solution and affect the growth rate of zeolite. When the n(Na2O)/n(SiO2) ratio is larger, the system alkalinity is higher, which promotes the dissolution rate of the materials and the growth rate of NaA zeolite crystal; when n(Na2O)/n(SiO2) = 2.1, the intensity of diffraction peaks is high and there are no other miscellaneous crystals, so n(Na2O)/n(SiO2) = 2.1 is selected.

Effects of n(H 2 O)/n(Na 2 O) on the Phase
Setting the reaction system to n(SiO 2 )/n(Al 2 O 3 ) = 2.0; n(Na 2 O)/n(SiO 2 ) = 1.7; the aging temperature as 50 • C; aging time as 2 h; crystallization at 94 • C for 4 h; and changing n(H 2 O)/n(Na 2 O) = 50, 55, 60, and 65 respectively, after the reactions, the XRD analyses are shown in Figure 10. In Figure 9, the intensity of these spectra is high and their shapes are similar. This is because n(Na2O)/n(SiO2) works together with n(H2O)/n(Na2O); they change the alkalinity of the solution and affect the growth rate of zeolite. When the n(Na2O)/n(SiO2) ratio is larger, the system alkalinity is higher, which promotes the dissolution rate of the materials and the growth rate of NaA zeolite crystal; when n(Na2O)/n(SiO2) = 2.1, the intensity of diffraction peaks is high and there are no other miscellaneous crystals, so n(Na2O)/n(SiO2) = 2.1 is selected.

Effects of n(H2O)/n(Na2O) on the Phase
Setting the reaction system to n(SiO2)/n(Al2O3) = 2.0; n(Na2O)/n(SiO2) = 1.7; the aging temperature as 50 °C; aging time as 2 h; crystallization at 94 °C for 4 h; and changing n(H2O)/n(Na2O) = 50, 55, 60, and 65 respectively, after the reactions, the XRD analyses are shown in Figure 10.  We can see from Figure 10, as the value of n(H 2 O)/n(Na 2 O) increases, the diffraction peak intensity decreases gradually. When n(H 2 O)/n(Na 2 O) = 55, the intensity of the diffraction peaks are at maximum, and this is due to the high alkalinity concentration, which lead to large viscosity of the system and is not conducive to the mass transfer process, but is adverse to the dissolution of solid silicon and aluminum components in the system [35]. The reaction system cannot provide sufficient highly active raw material for crystal growth, which causes the intensity of the peaks to decrease, and so n(H 2 O)/n(Na 2 O) = 55 is selected.

Effect of Aging Temperature on the Phase
Setting reaction system n(SiO 2 )/n(Al 2 O 3 ) = 2.0; n(H 2 O)/n(Na 2 O) = 55; n(Na 2 O)/n(SiO 2 ) = 2.1; the aging time as 2 h; crystallization at 94 • C for 4 h; and changing aging temperature to 30 • C, 40 • C, 50 • C, and 60 • C respectively, after the crystallization reaction, the XRD analyses of the products are shown in Figure 11. peak intensity decreases gradually. When n(H2O)/n(Na2O) = 55, the intensity of the diffraction peaks are at maximum, and this is due to the high alkalinity concentration, which lead to large viscosity of the system and is not conducive to the mass transfer process, but is adverse to the dissolution of solid silicon and aluminum components in the system [35]. The reaction system cannot provide sufficient highly active raw material for crystal growth, which causes the intensity of the peaks to decrease, and so n(H2O)/n(Na2O) = 55 is selected.

Effect of Aging Temperature on the Phase
Setting reaction system n(SiO2)/n(Al2O3) = 2.0; n(H2O)/n(Na2O) = 55; n(Na2O)/n(SiO2) = 2.1; the aging time as 2 h; crystallization at 94 °C for 4 h; and changing aging temperature to 30 °C, 40 °C, 50 °C, and 60 °C respectively, after the crystallization reaction, the XRD analyses of the products are shown in Figure 11. The effect of aging temperature is reflected in the process of transforming the liquid sol into zeolite. It can be seen from Figure 11 that when the aging temperature is 30 °C or 40 °C, the intensity of diffraction peaks is low; when the aging temperature is 50 °C or 60 °C, the intensity is high, and this is because the low-temperature aging stage can improve the nucleation rate, reduce the grain size, and increase the number of crystals [36]. When the aging temperature is 50 °C or 60 °C, the raw materials can be fully dissolved and the nucleation will grow sooner, but if the aging temperature is too high, it will reduce the number of nucleation, so the proper aging temperature is 60 °C.

Effect of Crystallization Time on the Phase and Morphology
Setting reaction system n(SiO2)/n(Al2O3) = 2.0; n(H2O)/n(Na2O) = 65; n(Na2O)/n(SiO2) = 2.1; aging at 60 °C for 2 h; crystallization temperature as 94 °C, and changing the crystallization time to 1 h, 2 h, 3 h, and 4 h respectively, after the reactions, the XRD patterns of the products are shown in Figure 12, and the SEM images are shown in Figures 13-16. The effect of aging temperature is reflected in the process of transforming the liquid sol into zeolite. It can be seen from Figure 11 that when the aging temperature is 30 • C or 40 • C, the intensity of diffraction peaks is low; when the aging temperature is 50 • C or 60 • C, the intensity is high, and this is because the low-temperature aging stage can improve the nucleation rate, reduce the grain size, and increase the number of crystals [36]. When the aging temperature is 50 • C or 60 • C, the raw materials can be fully dissolved and the nucleation will grow sooner, but if the aging temperature is too high, it will reduce the number of nucleation, so the proper aging temperature is 60 • C.

Effect of Crystallization Time on the Phase and Morphology
Setting reaction system n(SiO 2 )/n(Al 2 O 3 ) = 2.0; n(H 2 O)/n(Na 2 O) = 65; n(Na 2 O)/n(SiO 2 ) = 2.1; aging at 60 • C for 2 h; crystallization temperature as 94 • C, and changing the crystallization time to 1 h, 2 h, 3 h, and 4 h respectively, after the reactions, the XRD patterns of the products are shown in Figure 12, and the SEM images are shown in Figures 13-16.
The crystallization time is particularly important for synthesis zeolites; it mainly affects their crystallinity. We can see from Figure 12, when the crystallization time is 1 h or 2 h, the intensity of the peaks is low; when the crystallization time is 1 h, just a small number of little NaA crystals begin to appear ( Figure 13          The crystallization time is particularly important for synthesis zeolites; it mainly affects their crystallinity. We can see from Figure 12, when the crystallization time is 1 h or 2 h, the intensity of the peaks is low; when the crystallization time is 1 h, just a small number of little NaA crystals begin to appear ( Figure 13); most of the crystals are about 1 μm in size. With the extension of reaction time to 2-4 h, a large number of crystals begin to appear, the crystals are a regular cubic shape and the particle size is about 2 μm. At the same time, when the crystallization time is 4 h, the intensity of the peaks is relatively higher, which is due to the longer crystallization time that gives zeolite enough time to grow, so the crystallization reaction time is determined to be 4 h.

XRD and SEM Analyses of the Product under Optimized Conditions
The product prepared under the above optimized conditions was detected by XRD and SEM; the results are shown in Figures 17 and 18.  The crystallization time is particularly important for synthesis zeolites; it mainly affects their crystallinity. We can see from Figure 12, when the crystallization time is 1 h or 2 h, the intensity of the peaks is low; when the crystallization time is 1 h, just a small number of little NaA crystals begin to appear ( Figure 13); most of the crystals are about 1 μm in size. With the extension of reaction time to 2-4 h, a large number of crystals begin to appear, the crystals are a regular cubic shape and the particle size is about 2 μm. At the same time, when the crystallization time is 4 h, the intensity of the peaks is relatively higher, which is due to the longer crystallization time that gives zeolite enough time to grow, so the crystallization reaction time is determined to be 4 h.

XRD and SEM Analyses of the Product under Optimized Conditions
The product prepared under the above optimized conditions was detected by XRD and SEM; the results are shown in Figures 17 and 18.

XRD and SEM Analyses of the Product under Optimized Conditions
The product prepared under the above optimized conditions was detected by XRD and SEM; the results are shown in Figures 17 and 18.
After searching, the d values and 2 theta values are in good agreement with PDF card: 39-0223, so the product can be confirmed as NaA zeolite. As shown in Figure 17, the product is pure NaA zeolite, the diffraction peaks are sharp, and the intensity of the diffraction peaks are high, which indicates that the crystallinity of the product is high. Figure 18 shows that NaA zeolites prepared under the optimized conditions have regular cubic shapes and a uniform particle size of about 2.5 µm.  After searching, the d values and 2 theta values are in good agreement with PDF card: 39-0223, so the product can be confirmed as NaA zeolite. As shown in Figure 17, the product is pure NaA zeolite, the diffraction peaks are sharp, and the intensity of the diffraction peaks are high, which indicates that the crystallinity of the product is high. Figure 18 shows that NaA zeolites prepared under the optimized conditions have regular cubic shapes and a uniform particle size of about 2.5 μm.

Preparation Mechanism
The NaA zeolite is from high iron content coal gangue; many chemical reactions occurred in the process, in addition to the reactions mentioned above. Nepheline is produced by high temperature reaction and can be hydrolyzed under alkaline conditions. The equations are as follows:  After searching, the d values and 2 theta values are in good agreement with PDF card: 39-0223, so the product can be confirmed as NaA zeolite. As shown in Figure 17, the product is pure NaA zeolite, the diffraction peaks are sharp, and the intensity of the diffraction peaks are high, which indicates that the crystallinity of the product is high. Figure 18 shows that NaA zeolites prepared under the optimized conditions have regular cubic shapes and a uniform particle size of about 2.5 μm.

Preparation Mechanism
The NaA zeolite is from high iron content coal gangue; many chemical reactions occurred in the process, in addition to the reactions mentioned above. Nepheline is produced by high temperature reaction and can be hydrolyzed under alkaline conditions. The equations are as follows:

Preparation Mechanism
The NaA zeolite is from high iron content coal gangue; many chemical reactions occurred in the process, in addition to the reactions mentioned above. Nepheline is produced by high temperature reaction and can be hydrolyzed under alkaline conditions. The equations are as follows: SiO 2 + 2NaOH = Na 2 SiO 3 + H 2 O The NaAlSiO 4 dissolves in NaOH solution to form NaAlO 2 and Na 2 SiO 3 , the amorphous SiO 2 in the residue reacts with NaOH solution to form Na 2 SiO 3 , and amorphous Al 2 O 3 in the residue reacts with NaOH solution to form NaAlO 2 [37][38][39]. In the silicate ions and aluminate ions system, the primary structural unit of silica-alumina zeolite skeleton is a silica-oxygen tetrahedron and alumina-oxygen tetrahedron, which are both called TO 4 , as shown in Figure 19.
2 NaAlSiO4 + 4 NaOH = 2 NaAlO2 + 2 Na2SiO3 + 2 H2O (5) SiO2 + 2 NaOH = Na2SiO3 + H2O (6) Al2O3 + 2 NaOH = 2 NaAlO2 + H2O (7) The NaAlSiO4 dissolves in NaOH solution to form NaAlO2 and Na2SiO3, the amorphous SiO2 in the residue reacts with NaOH solution to form Na2SiO3, and amorphous Al2O3 in the residue reacts with NaOH solution to form NaAlO2 [37][38][39]. In the silicate ions and aluminate ions system, the primary structural unit of silica-alumina zeolite skeleton is a silica-oxygen tetrahedron and alumina-oxygen tetrahedron, which are both called TO4, as shown in Figure 19. As the hydrothermal reaction continues, the TO4 in the reaction system is connected through oxygen atoms, and the tetrahedrons formed are connected through an oxygen bridge to form a ring; four tetrahedrons make up a four-membered ring and six tetrahedrons make up a six-membered ring (the oxygen atoms are omitted, Figure 19) [40]. These rings are reduced to quadrangles and hexagons, and each of them have a Si or Al ion at the tip of the corner. Under the action bridging of cations, silicon and aluminum ions in the rings are further condensed around cations and continue to connect in three-dimensional space to form β cages ( Figure 19). The β cage is a chamfered octahedron containing 6 four-membered rings; 8 six-membered rings; and 24 angular apex, β-cages arranged in the form of body-centered cubes, which are connected by a double quaternion ring, resulting in an α cage ( Figure 19) and a three-dimensional skeleton structure at the center of the cell.
When the cages are formed, they will continue to form the zeolite cages; the zeolite cages will continue to expand in a three-dimensional direction according to the body-centered cubic structure. When there has been a certain amount of expansion, they will generate a certain geometric shape of the grain. The little grain seeds continue to grow in the hydrothermal system and finally form NaA zeolite crystals.

Conclusions
Through this study, these conclusions are drawn as follows: (1) Calcination of the coal gangue at 700 °C for 2 h and then leaching the calcined powder by 20% hydrochloric acid; the liquid to solid ratio is 3:1 at 90 °C for 7 h and can remove most of the iron ions. (2) Evenly mixing the sodium carbonate with the acid-leached filter residue according to the mass ratio of m(acid leached residue): m(sodium carbonate) = 1:1.1, the mixture is melted at 750 °C for 2 h, then acid-leached filter residue turns into NaAlSiO4; the rests are amorphous SiO2 and Al2O3, which both have high chemical activity and can participate in the crystallization reaction, so the acid-leached filter residue is activated absolutely. Figure 19. The formation process of NaA zeolite.
As the hydrothermal reaction continues, the TO 4 in the reaction system is connected through oxygen atoms, and the tetrahedrons formed are connected through an oxygen bridge to form a ring; four tetrahedrons make up a four-membered ring and six tetrahedrons make up a six-membered ring (the oxygen atoms are omitted, Figure 19) [40]. These rings are reduced to quadrangles and hexagons, and each of them have a Si or Al ion at the tip of the corner. Under the action bridging of cations, silicon and aluminum ions in the rings are further condensed around cations and continue to connect in three-dimensional space to form β cages ( Figure 19). The β cage is a chamfered octahedron containing 6 fourmembered rings; 8 six-membered rings; and 24 angular apex, β-cages arranged in the form of body-centered cubes, which are connected by a double quaternion ring, resulting in an α cage ( Figure 19) and a three-dimensional skeleton structure at the center of the cell.
When the cages are formed, they will continue to form the zeolite cages; the zeolite cages will continue to expand in a three-dimensional direction according to the bodycentered cubic structure. When there has been a certain amount of expansion, they will generate a certain geometric shape of the grain. The little grain seeds continue to grow in the hydrothermal system and finally form NaA zeolite crystals.

Conclusions
Through this study, these conclusions are drawn as follows: (1) Calcination of the coal gangue at 700 • C for 2 h and then leaching the calcined powder by 20% hydrochloric acid; the liquid to solid ratio is 3:1 at 90 • C for 7 h and can remove most of the iron ions. (2) Evenly mixing the sodium carbonate with the acid-leached filter residue according to the mass ratio of m(acid leached residue): m(sodium carbonate) = 1:1.1, the mixture is melted at 750 • C for 2 h, then acid-leached filter residue turns into NaAlSiO 4 ; the rests are amorphous SiO 2 and Al 2 O 3 , which both have high chemical activity and can participate in the crystallization reaction, so the acid-leached filter residue is activated absolutely. Compared with [41,42], the preparation conditions obtained in this study are more mild, the purity of the product is higher, and there are no impurity crystals in the product.