| 무알칼리 다성분 La2O3-Al2O3-SiO2 유리의 조성과 몇 가지 물성의 관계 |
| 강은태, 양태영, 황종희1 |
경상대학교 나노.신소재공학부, 경상대학교 공학연구원
1한국세라믹기술원 광.전자세라믹본부 |
| Composition-Some Properties Relationships of Non-Alkali Multi-component La2O3-Al2O3-SiO2 Glasses |
| Eun-Tae Kang, Tae-Young Yang, Jong-Hee Hwang1 |
Division of Nano & Advanced Materials Science and Engineering, Gyeongsang National University, Engineering Research Institute
1Optic & Electronic Ceramics Division, KICET |
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| ABSTRACT |
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Non-Alkali multicomponent $La_2O_3-Al_2O_3-SiO_2$ glasses has been designed and analyzed on the basis of a mixture design experiment with constraints. Fitted models for thermal expansion coefficient, glass transition temperature, Young's modulus, Shear modulus and density are as follows: ${alpha}(/^{circ}C)=8.41{times}10^{-8}x_1+5.72{times}10^{-7}x_2+2.13{times}10^{-7}x_3+1.09{times}10^{-7}x_4+1.10{times}10^{-7}x_5+1.15{times}10^{-7}x_6+2.72{times}10^{-8}x_7+2.41{times}10^{-7}x_8-1.08{times}10^{-8}x_1x_2+4.28{times}10^{-8}x_3x_7-2.02{times}10^{-8}x_3x_8-1.60{times}10^{-8}x_4x_5-2.71{times}10^{-9}x_4x_8-2.19{times}10^{-8}x_5x_6-3.89{times}10^{-8}x_5x_7$ $T_g(^{circ}C)=7.36x_1+15.35x_2+20.14x_3+8.97x_4+13.85x_5+4.22x_6+28.21x_7-1.44x_8-0.84x_2x_3-0.45x_2x_5-1.64x_2x_7+0.93x_3x_8-1.04x_5x_8-0.48x_6x_8$ $E(GPa)=2.04x_1+14.26x_2-1.22x_3-0.80x_4-2.26x_5-1.67x_6-1.27x_7+3.63x_8-0.24x_1x_2-0.07x_2x_8+0.14x_3x_6-0.68x_3x_8+0.29x_4x_5+1.28x_5x_8$ $G(GPa)=0.35x_1+1.78x_2+1.35x_3+1.87x_4+9.72x_5+29.16x_6-0.99x_7+3.60x_8-0.48x_1x_6-0.50x_2x_5+0.08x_3x_7-0.66x_3x_8+0.94x_5x_8$ ${rho}(g/cm^3)=0.09x_1+0.51x_2-4.94{times}10^{-3}x_3-0.03x_4+0.45x_5-0.07x_6-0.10x_7+0.07x_8-9.60{times}10^{-3}x_1x_2-8.20{times}10^{-3}x_1x_5+2.17{times}10^{-3}x_3x_7-0.03x_3x_8+0.05x_5x_8$ The optimal glass composition similar to the thermal expansion coefficient of Si based on these fitted models is $65.53SiO_2{cdot}25.00Al_2O_3{cdot}5.00La_2O_3{cdot}2.07ZrO_2{cdot}0.70MgO{cdot}1.70SrO$. |
| Key words:
Lanthanum aluminosilicate glass, Mixture design, Thermal expansion coefficient, Young's modulus, Glass transition temperature |
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