Fused Bead Analysis for Refractories using Application Package Refractory Series

    Application Note XRF1101

    Introduction

    X-ray fluorescence (XRF) analysis is widely used in a number of fields, including quality control and research & development, due to its high degree of accuracy and extremely simple sample preparation. Quantitative analysis with XRF spectrometry requires reference materials in order to generate calibration curves.

    The fusion method in X-ray fluorescence (XRF) analysis is an effective sample preparation technique for getting accurate analysis results of powder samples, since the technique eliminates heterogeneity due to grain size and mineralogical differences.
    Rigaku provides analysis solution for various refractories by the fusion method.

    This application note introduces Application Packages "Refractory" series and demonstrates repeatability of this analysis.

    Application Package 

    Rigaku Application Packages are products which are designed to enable unexperienced users to start up quantitative analysis easily. 
    The Application Packages "Refractory" series are targeted at XRF analysis of five refractory materials (silica, clay, magnesia, chrome-magnesia and zircon-zirconia) by the fusion method. Table 1 shows the list of the Application Packages "Refractory" series. 

    Table 1:  List of the Application Packages "Refractory" series. 

    The contents of the package are as follows: 

    • Calibration standards
      • Series of reference materials
        (powder in a bottle, 10g / material)
    • Drift correction samples
      • Two fusion beads
    • Installation CD
      • temporary calibration curves (calibration constants)
      • correction coefficients
      • measurement conditions
      • other application setting
    • Instruction manual

    Users can make fused beads of calibration standards using their own fusion machine, which will be used for analysis samples. Quantitative application, including temporary calibration curves, measurement conditions, correction coefficients, drift correction setting, is installed in the system by running the installation CD.

    After running the fused beads of the calibration standards, regression calculation is automatically carried out, where the calibration formulas follow the temporary calibration curves. 

    The procedure is shown step-by-step in the instruction manual.

    Instrument 

    The Application Packages "Refractory" series are applicable to Rigaku sequential wavelength-dispersive (WD) XRF spectrometer, ZSX Primus IV, ZSX Primus IVi and ZSX Primus III NEXT. In the case of ZSX Primus III NEXT, the optional Ge crystal is required. 

    Calibration and CRMs 

    Certified reference materials (CRMs) by The Technical Association of Refractories, Japan are used in the packages. The number of the CRMs included in each package is shown in Table 1. 

    Table 1:  List of the Application Packages "Refractory" series

    Material Reference materials included Number
    of CRMs
    Analysis components
    Clay JRRM 121 – 135 15 SiO₂ Al₂O₃ Fe₂O₃ TiO₂ MnO CaO MgO Na₂O K₂O P₂O₅ Cr₂O₃ ZrO₂
    Silica JRRM 201 – 210 10 SiO₂ Al₂O₃ Fe₂O₃ TiO₂ MnO CaO MgO Na₂O K₂O
    Magnesia JRRM 401 – 410 10 SiO₂ Al₂O₃ Fe₂O₃ CaO MgO TiO₂ MnO P₂O₅
    Chrome-Magnesia JRRM 501 – 512 12 SiO₂ Al₂O₃ Fe₂O₃ TiO₂ MnO CaO MgO Cr₂O₃ P₂O₅
    Zircon-Zirconium JRRM 601 – 610 10 SiO₂ Al₂O₃ Fe₂O₃ TiO₂ CaO MgO Na₂O K₂O P₂O₅ Cr₂O₃ ZrO₂ HfO₂

    Note) "High-alumina" package used to be available. The reference materials of alumina refractory are out of stock.


    Calibration was established for each material. The calibration summary is shown in Tables 2 – 6. Theoretical alpha correction is applied if required. 

    The accuracy of calibration was calculated by the following formula:

    $Accuracy = \sqrt{ \frac{\sum_i{(C_i-\hat{C}_i)^2}}{n-m} }$

    $C_i$: calculated value of standard sample
    $\hat{C}_i$: reference value of standard sample
    n : number of standard samples. 
    m: degree of freedom (linear 2, quad. 3)

    Sample preparation 

    Powder samples, pre-dried at 110°C, were fused at 1100°C-1200°C, where the weight ratio of sample to flux is 1:10, except for Chrome-Magnesia series, where the ratio is 1:20. The sample and flux should be weighed to 0.1 mg exactly. 

    Lithium tetraborate (Li₂B₄O₇) is used as flux. 

    Repeatability test

    A repeatability test, by 10-time consecutive runs, was performed using the ZSX Primus IV with a 4 kW Rh target X-ray tube. 

    The test results are shown in Tables 2 – 6. 

    Table 2:  Calibration summary and repeatability test results of "Clay" series. (unit: mass%) 

    Component Concentration range Accuracy Repeatability test results
          Content Std. dev. R.S.D. Content Std. dev. R.S.D.
    SiO₂ 37.33 – 86.35 0.25 80.47 0.038 0.05% 63.61 0.031 0.05%
    Al₂O₃ 6.077 – 49.01 0.22 13.79 0.014 0.10% 29.91 0.016 0.05%
    Fe₂O₃ 0.248 – 4.459 0.019 3.98 0.002 0.05% 1.92 0.002 0.10%
    TiO₂ 0.056 – 3.362 0.15 0.45 0.003 0.67% 0.68 0.004 0.59%
    MnO 0.008 – 0.370 0.003 0.015 0.001 6.7% 0.024 0.0005 2.1%
    CaO 0.109 – 2.804 0.055 0.049 0.0006 1.2% 0.146 0.0010 0.68%
    MgO 0.084 – 3.107 0.016 0.67 0.006 0.90% 0.98 0.008 0.82%
    Na₂O 0.072 – 3.208 0.022 0.30 0.007 2.3% 0.60 0.010 1.7%
    K₂O 0.109 – 3.140 0.013 0.15 0.0008 0.53% 1.82 0.002 0.11%
    P₂O₅ 0.046 – 4.905 0.048 (0.048) 0.0007 1.5% (0.053) 0.0008 1.5%
    Cr₂O₃ 0.010 – 1.278 0.0096 (0.018) 0.0009 5.0% (0.037) 0.0011 3.0%
    ZrO₂ 0.008 – 1.119 0.015 (0.076) 0.0011 1.4% (0.076) 0.0014 1.8%

    Table 3: Calibration summary and repeatability test results of "Silica" series. (unit: mass%)
    Component Concentration range Accuracy Repeatability test results
          Content Std. dev. R.S.D.
    SiO₂ 84.43 – 97.80 0.292 96.20 0.027 0.03%
    Al₂O₃ 0.163 – 9.723 0.020 0.77 0.003 0.39%
    Fe₂O₃ 0.064 – 3.975 0.018 0.53 0.001 0.19%
    TiO₂ 0.005 – 0.567 0.003 0.190 0.0015 0.79%
    MnO 0.001 – 0.147 0.001 0.010 0.0004 4.0%
    CaO 0.301 – 4.200 0.010 1.810 0.0025 0.14%
    MgO 0.020 – 0.789 0.007 0.050 0.0070 14%
    Na₂O 0.021 – 1.015 0.017 0.050 0.0035 7.0%
    K₂O 0.006 – 0.948 0.090 0.090 0.0010 1.1%

    Table 4: Calibration summary and repeatability test results of "Magnesia" series. (unit: mass%)
    Component Concentration range Accuracy Repeatability test results
          Content Std. dev. R.S.D. Content Std. dev. R.S.D.
    SiO₂ 0.188 – 8.144 0.025 1.55 0.005 0.29% 0.89 0.004 0.44%
    Al₂O₃ 0.058 – 8.106 0.024 0.97 0.003 0.30% 0.23 0.002 0.91%
    Fe₂O₃ 0.050 – 5.050 0.015 4.63 0.002 0.04% 0.29 0.001 0.21%
    CaO 0.208 – 4.805 0.019 2.28 0.003 0.12% 1.66 0.002 0.09%
    MgO 81.24 – 99.08 0.20 90.6 0.06 0.07% 96.7 0.06 0.07%
    TiO₂ 0.003 – 0.054 0.0035 0.03 0.001 3.3% 0.015 0.0008 5.3%
    MnO 0.010 – 0.074 0.0009 0.14 0.0004 0.29% 0.001 0.0003 30%
    P₂O₅ 0.015 – 0.120 0.0020 (0.014) 0.0003 2.1% (0.012) 0.0003 2.5%

    Table 5: Calibration summary and repeatability test results of "Chrome-Magnesia" series. (unit: mass%)
    Component Concentration range Accuracy Repeatability test results
          Content Std. dev. R.S.D. Content Std. dev. R.S.D.
    SiO₂ 0.928 – 10.57 0.091 2.59 0.005 0.21% 3.01 0.006 0.21%
    Al₂O₃ 2.926 – 29.26 0.10 14.7 0.02 0.16% 12.3 0.03 0.24%
    Fe₂O₃ 1.022 – 27.09 0.11 10.3 0.01 0.05% 7.2 0.01 0.07%
    TiO₂ 0.006 – 1.205 0.0060 0.140 0.0026 1.9% 0.130 0.0026 2.0%
    MnO 0.006 – 0.176 0.0024 0.11 0.001 1.0% 0.11 0.001 1.0%
    CaO 0.071 – 4.063 0.016 1.17 0.002 0.15% 1.54 0.002 0.12%
    MgO 10.57 – 87.72 0.24 53.5 0.07 0.12% 61.8 0.06 0.10%
    Cr₂O₃ 2.832 – 52.26 0.066 17.2 0.01 0.04% 13.4 0.01 0.04%
    P₂O₅ 0.004 – 0.036 0.0029 (0.01) 0.001 6.0% (0.02) 0.001 6.0%

    Table 6: Calibration summary and repeatability test results of "Zircon-Zirconia" series. (unit: mass%)
    Component Concentration range Accuracy Repeatability test results
          Content Std. dev. R.S.D. Content Std. dev. R.S.D.
    SiO₂ 0.263 – 45.70 0.13 0.2 0.002 1.0% 32.7 0.02 0.06%
    Al₂O₃ 0.078 – 6.933 0.030 0.08 0.02 2.0% 0.33 0.002 0.61%
    Fe₂O₃ 0.092 – 2.861 0.0044 0.064 0.0008 1.3% 0.060 0.0007 1.2%
    TiO₂ 0.099 – 0.934 0.021 0.20 0.004 1.8% 0.25 0.004 1.6%
    CaO 0.021 – 5.586 0.025 1.50 0.002 0.13% 0.04 0.001 1.8%
    MgO 0.017 – 5.304 0.037 3.42 0.010 0.29% 0.05 0.005 10%
    Na₂O 0.004 – 2.034 0.024 (0.08) 0.0035 4.4% 0.02 0.003 15%
    K₂O 0.002 – 1.942 0.0024 (0.004) 0.0005 13% 0.03 0.001 2.0%
    P₂O₅ 0.007 – 1.997 0.086 (0.017) 0.0009 5.3% 0.12 0.003 2.1%
    Cr₂O₃ 0.003 – 3.069 0.0062 (0.016) 0.0010 6.3% (0.011) 0.0011 10%
    ZrO₂ 48.74 – 92.08 0.28 92.7 0.05 0.05% 66.2 0.03 0.05%
    HfO₂ 0.987 – 1.592 0.0091 1.63 0.007 0.43% 1.30 0.006 0.46%

    Conclusion 

    Application Package "Refractory" series, provided by Rigaku, enable users to easily start up fusion bead analysis of refractory materials and to obtain reliable analysis results without high expertise to calibration XRF spectrometers.  Since the packages include powder of CRMs, fusion beads of the calibration standards can be made applying exactly the same sample preparation as used for analysis samples. 

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