Fig. 1. Simulated overlapping spectra of Mn, Fe, Co and Ni
Fig. 2. Original overlapping spectrum, GMM-ER overlapping peak and decomposition peak
(a): Traditional quantum genetic algorithm; (b): Improved quantum genetic algorithm
Fig. 3. The process of searching global optimal GMM-ER
(a): Traditional quantum genetic algorithm; (b): Improved quantum genetic algorithm
元素 | Kα1 | Kα2 | Kβ1 |
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能量/keV | 能量/keV | 比例 | 能量/keV | 比例 |
---|
Mn | 5.898 | 5.887 | 51 | 6.490 | 16 | Fe | 6.403 | 6.390 | 50 | 7.057 | 16 | Co | 6.930 | 6.915 | 50 | 7.649 | 16 | Ni | 7.477 | 7.460 | 50 | 8.264 | 17 |
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Table 1. Main K-series characteristic X-rays of Mn, Fe, Co and Ni
元素 | i | u(i, 1) | σ(i, j) | u(i, 2) | σ(i, j) | u(i, 3) | σ(i, j) |
---|
Mn | 1 | 724 | 28.98 | 723 | 28.924 13 | 799 | 31.96 | Fe | 2 | 788 | 31.52 | 786 | 31.453 36 | 870 | 34.81 | Co | 3 | 854 | 34.17 | 852 | 34.093 2 | 945 | 37.78 | Ni | 4 | 923 | 36.92 | 921 | 36.833 62 | 1 022 | 40.88 |
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Table 2. u(i, j) and σ(i, j) values of Mn, Fe, Co and Ni
实验 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 平均值 |
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传统算法 | 58 095 | 23 388 | 220 592 | 43 815 | 21 542 | 175 392 | 13 833 | 23 574 | 13 871 | 14 332 | 60 843.4 | 改进算法 | 231 213 | 32 299 | 6 046 | 28 092 | 3 604 | 29 962 | 24 557 | 18 203 | 15 873 | 23 343 | 41 319.2 |
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Table 3. Optimal fitness values of overlapping spectral decomposition
元素 | 原始数据 | 传统量子遗传算法 | 改进量子遗传算法 |
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GMM-ER 数据 | 相对 误差/% | GMM-ER 数据 | 相对 误差/% |
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Cr | 0 | 126 | - | 190 | - | Mn | 20 000 | 20 470 | 2.35 | 20 230 | 1.15 | Fe | 30 000 | 29 867 | -0.44 | 29 811 | -0.63 | Co | 30 000 | 30 269 | 0.90 | 30 093 | 0.31 | Ni | 20 000 | 19 363 | -3.19 | 19 837 | -0.815 | Cu | 0 | 385 | - | 46 | - | Zn | 0 | 364 | - | 186 | - |
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Table 4. Intensity of characteristic X-ray before and after decomposition