Inorganic Chemicals Industry ›› 2025, Vol. 57 ›› Issue (10): 64-74.doi: 10.19964/j.issn.1006-4990.2024-0683
• Research & Development • Previous Articles Next Articles
HU Zhenrong1,2,3(
), ZHANG Manman2,3, SHI Chenglong1(
), PENG Jiaoyu2,3(
), ZHOU Yannan2,3, DONG Yaping2,3, LI Wu2,4
Received:2024-12-17
Online:2025-10-10
Published:2025-07-17
Contact:
SHI Chenglong, PENG Jiaoyu
E-mail:huzr2023@163.com;qhmuscl@126.com;pengjy@isl.ac.cn
CLC Number:
HU Zhenrong, ZHANG Manman, SHI Chenglong, PENG Jiaoyu, ZHOU Yannan, DONG Yaping, LI Wu. Study on crystallization process and kinetic of macallisterite in concentrated MgCl2-xNa2O·yB2O3-H2O solution[J]. Inorganic Chemicals Industry, 2025, 57(10): 64-74.
Table 2
BBD experimental design and results"
实验 号 | 温度(X1)/℃ | w(B2O3)(X2)/% | n(NaOH): n(H3BO3)(X3) | 晶种加入 量(X4)/g | 结晶产率/% | |
|---|---|---|---|---|---|---|
| 实际值 | 预测值 | |||||
| 1 | 15 | 3.88 | 1.8:5 | 0.30 | 62.08 | 63.21 |
| 2 | 20 | 3.88 | 2.0:5 | 0.30 | 61.82 | 59.28 |
| 3 | 25 | 4.08 | 1.8:5 | 0.30 | 65.73 | 65.05 |
| 4 | 20 | 3.88 | 1.8:5 | 0.50 | 61.21 | 62.22 |
| 5 | 20 | 3.98 | 1.6:5 | 0.10 | 64.18 | 65.29 |
| 6 | 20 | 3.98 | 1.6:5 | 0.50 | 62.11 | 61.42 |
| 7 | 20 | 3.98 | 1.8:5 | 0.30 | 72.24 | 71.68 |
| 8 | 20 | 4.08 | 1.8:5 | 0.50 | 67.54 | 69.61 |
| 9 | 20 | 3.98 | 1.8:5 | 0.30 | 72.24 | 71.68 |
| 10 | 20 | 3.88 | 1.8:5 | 0.10 | 67.75 | 66.92 |
| 11 | 25 | 3.88 | 1.8:5 | 0.30 | 64.63 | 65.11 |
| 12 | 20 | 3.88 | 1.6:5 | 0.30 | 61.65 | 62.40 |
| 13 | 15 | 3.98 | 2.0:5 | 0.30 | 63.92 | 66.30 |
| 14 | 20 | 4.08 | 2.0:5 | 0.30 | 73.94 | 71.50 |
| 15 | 15 | 3.98 | 1.8:5 | 0.50 | 66.91 | 65.59 |
| 16 | 20 | 3.98 | 2.0:5 | 0.50 | 61.19 | 60.53 |
| 17 | 25 | 3.98 | 2.0:5 | 0.30 | 59.15 | 61.26 |
| 18 | 15 | 4.08 | 1.8:5 | 0.30 | 79.87 | 79.84 |
| 19 | 20 | 4.08 | 1.6:5 | 0.30 | 65.89 | 66.74 |
| 20 | 25 | 3.98 | 1.8:5 | 0.10 | 65.09 | 64.72 |
| 21 | 20 | 3.98 | 1.8:5 | 0.30 | 68.81 | 71.68 |
| 22 | 15 | 3.98 | 1.8:5 | 0.10 | 76.33 | 75.05 |
| 23 | 20 | 4.08 | 1.8:5 | 0.10 | 75.85 | 76.08 |
| 24 | 20 | 3.98 | 1.8:5 | 0.30 | 72.86 | 71.68 |
| 25 | 15 | 3.98 | 1.6:5 | 0.30 | 67.75 | 66.88 |
| 26 | 25 | 3.98 | 1.6:5 | 0.30 | 60.16 | 59.02 |
| 27 | 20 | 3.98 | 1.8:5 | 0.30 | 72.23 | 71.68 |
| 28 | 25 | 3.98 | 1.8:5 | 0.50 | 63.43 | 63.02 |
| 29 | 20 | 3.98 | 2.0:5 | 0.10 | 66.68 | 67.83 |
Table 3
Variance analysis of regression model"
| 变异来源 | 平方和 | 自由度 | 均方 | F值 | P值 | 显著性 |
|---|---|---|---|---|---|---|
| 模型 | 770.56 | 14 | 55.04 | 14.94 | <0.000 1 | 极显著 |
| X1 | 124.61 | 1 | 124.61 | 33.83 | <0.000 1 | 极显著 |
| X2 | 205.68 | 1 | 205.68 | 55.83 | <0.000 1 | 极显著 |
| X3 | 2.05 | 1 | 2.05 | 0.56 | 0.468 0 | 不显著 |
| X4 | 93.47 | 1 | 93.47 | 25.37 | 0.000 2 | 极显著 |
| X1X2 | 69.64 | 1 | 69.64 | 18.90 | 0.000 7 | 极显著 |
| X1X3 | 1.99 | 1 | 1.99 | 0.54 | 0.474 7 | 不显著 |
| X1X4 | 15.05 | 1 | 15.05 | 4.09 | 0.062 8 | 不显著 |
| X2X3 | 15.52 | 1 | 15.52 | 4.21 | 0.059 3 | 不显著 |
| X2X4 | 0.78 | 1 | 0.78 | 0.21 | 0.651 8 | 不显著 |
| X3X4 | 2.92 | 1 | 2.92 | 0.79 | 0.388 0 | 不显著 |
| X12 | 40.30 | 1 | 40.30 | 10.94 | 0.005 2 | 极显著 |
| X22 | 5.01 | 1 | 5.01 | 1.36 | 0.263 0 | 不显著 |
| X32 | 219.62 | 1 | 219.62 | 59.61 | <0.000 1 | 极显著 |
| X42 | 28.34 | 1 | 28.34 | 7.69 | 0.014 9 | 显著 |
| 残差 | 51.58 | 14 | 3.68 | |||
| 失拟项 | 41.02 | 10 | 4.10 | 1.55 | 0.356 2 | 不显著 |
| 纯误差 | 10.56 | 4 | 2.64 | |||
| 总和 | 822.14 | 28 |
Table 5
Fitting results of model for crystallization kinetics of macallisterite at 15 ℃"
| 动力学模型 | 残差平方和S | 速率常数k | 拟合优度R2 |
|---|---|---|---|
| MA-1 | 35.165 4 | 5.761 0 | 0.279 3 |
| MA-2 | 0.305 4 | 0.110 7 | 0.984 8 |
| MA-3 | 2.398 6 | 0.049 3 | 0.850 8 |
| MA-4 | 5.698 8 | 0.022 3 | 0.621 7 |
| MB-1 | 129.653 8 | 0.001 0 | 0.454 7 |
| MB-2 | 129.653 8 | 0.001 0 | 0.454 7 |
| MB-3 | 129.653 8 | 0.001 0 | 0.454 7 |
| MB-4 | 129.653 8 | 0.001 0 | 0.454 7 |
| MC-1 | 1.064 6 | 0.149 7 | 0.936 2 |
| MC-2 | 3.437 2 | 0.078 4 | 0.731 1 |
| MC-3 | 6.663 6 | 0.044 0 | 0.462 9 |
| MC-4 | 9.610 3 | 0.027 1 | 0.281 3 |
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