在本論文內將討論0.91Mg2(Ti0.95Sn0.05)O4-0.09(Ca0.8Sr0.2)TiO3介電陶瓷材料，於1270℃燒結四小時，其介電特性分別為εr~17.88，Q×f ~98,000 (10.1GHz)，τf ~+1.02 (ppm/℃)。藉由添加不同燒結促進劑，探討產生的液相對其微波特性的影響。實驗結果顯示，添加0.5wt%的ZnO可有效降低燒結溫度到1210℃，此時可得介電特性εr~17.98，Q×f ~87093 (10.1GHz)，τf ~+4.97 (ppm/℃)。添加0.5wt%的CuO可有效降低燒結溫度到1210℃，此時可得介電特性εr~18.13，Q×f ~72900 (9.8GHz)，τf ~+3.76 (ppm/℃)
另外，本論文以0.91Mg2(Ti0.95Sn0.05)O4-0.09(Ca0.8Sr0.2)TiO3添加0.5wt%的ZnO為基板，製作一個曲折型雙模態濾波器，實作量測中心頻率為1000MHz、頻寬為61MHz、插入損耗為3.69dB和返回損耗為20dB，且面積為FR4基板45%(包含端埠)，可獲得縮小濾波器的面積與較好的頻率響應結果，證明其可應用於微波通訊。

The microwave properties of 0.91Mg2(Ti0.95Sn0.05)O4-0.09(Ca0.8Sr0.2)TiO3 dielectric ceramic materials sintered at 1270℃ for 4 hours are discussed in this paper. The dielectric properties of the ceramics were εr~17.88，Q×f ~98,000 (10.1GHz) and τf ~+1.02(ppm/℃). By adding different sintering aids, we studied the effects of liquid-phase aids on the microwave properties of 0.91Mg2(Ti0.95Sn0.05)O4-0.09(Ca0.8Sr0.2)TiO3. The experimental results showed that the sintering temperature was efficiently reduced from 1270℃ to 1210℃ using 0.5wt% ZnO addition, and the dielectric properties of the ceramics were εr~17.98, Q×f ~87,000 (10.1GHz) and τf ~+4.97(ppm/℃). Furthermore, the sintering temperature was also reduced from 1270℃ to 1210℃ using 0.5wt% CuO addition, and the dielectric properties of the ceramics were εr~18.13, Q×f ~72,900 (9.8GHz) and τf ~+3.76(ppm/℃)
In addition, a meandered dual-mode resonator filter on ZnO-doped 0.91Mg2(Ti0.95Sn0.05)O4-0.09(Ca0.8Sr0.2)TiO3 substrate were fabricated. Experimental measurements showed that the bandwidth was 61MHz with center frequency at 1000 MHz. The insertion and return loss were 3.69 and 20 dB, respectively. The filter showed a 45% reduction in size, compared with the same filter on the FR4 substrate. The ceramic 0.91Mg2(Ti0.95Sn0.05)O4-0.09(Ca0.8Sr0.2)TiO3 with the sintering aid ZnO is applicable for microwave applications because of their superior microwave properties of low loss and high relative dielectric constant.

[1] J.-Y. Chen, et al., "Low-loss microwave dielectrics in the Mg2(Ti0.95Sn0.05)O4-(Ca0.8Sr0.2)TiO3 ceramic system," J. Alloys Compd., vol. 502, pp. 324-328, 2010.
[2] R. C. Kell, et al., "High-Permittivity Temperature-Stable Ceramic Dielectrics with Low Microwave Loss," J. Am. Ceram. Soc., vol. 56, pp. 352-354, 1973.
[3] T. Takada, et al., "Effect of Glass Additions on BaO–TiO2–WO3 Microwave Ceramics," J. Am. Ceram. Soc., vol. 77, pp. 1909-1916, 1994.
[4] T. Takada, et al., "Effects of Glass Additions on (Zr,Sn)TiO4 for Microwave Applications," J. Am. Ceram. Soc., vol. 77, pp. 2485-2488, 1994.
[5] 郭展綱, "燒結促進劑對0.9CaWO4-0.1Mg2SiO4介電陶瓷之影響與應用," 碩士論文, 2004.
[6] 魏炯權, 電子材料工程, 2001.
[7] D. M. Pozar, Microwave engineering, 1998.
[8] D. Kajfez, et al., "Computed Modal Field Distributions for Isolated Dielectric Resonators," IEEE Trans. Microwave Theory Tech., vol. 32, pp. 1609-1616, 1984.
[9] D. Kajfez, "Basic principle give understanding of dielectric waveguides and resonators," Microwave System News, 1983.
[10] D. Kajfez and P. Guillon, "Dielectric resonators," 1989.
[11] W. J. Huppmann and G. Petzow, "Sintering processes," New York: Plenum Pr-ess, pp. 189-202, 1979.
[12] V. N. Eremenko, et al., LIQUID-PHASE SINTERING, 1970.
[13] K. S. Hwang, "Rensselaer Ploytechmic in Troy," 1984.
[14] J. W. Cahn and R. B. Heady, "Analysis of Capillary Forces in Liquid-Phase Sintering of Jagged Particles," J. Am. Ceram. Soc., vol. 53, pp. 406-409, 1970.
[15] W. J. Huppmann and G. Petzow, "The Role of Grain and Phase Boundaries in Liquid-Phase Sintering," Berichte der Bunsengesellschaft fur Physikalische Chemie, vol. 82, pp. 308-312, 1978.
[16] R. M. German, Liquid phase sintering, 1985.
[17] J. H. Jean and C. H. Lin, "Coarsening of tungsten particles in W-Ni-Fe alloys," J. Mater. Sci., vol. 24, pp. 500-504, 1989.
[18] 羅清文, La(Mg1/2Ti1/2)O3 介電陶瓷之微波特性改善及其應用: 國立成功大學碩士論文, 2004.
[19] A. Belous, et al., "High-Q Microwave Dielectric Materials Based on the Spinel Mg2TiO4," J. Am. Ceram. Soc., vol. 89, pp. 3441-3445, 2006.
[20] 余樹楨, 晶體之結構與性質: 渤海堂文化公司, 2007.
[21] N. J. van der Laag, et al., "Structural, elastic, thermophysical and dielectric properties of zinc aluminate (ZnAl2O4)," J. Eur. Ceram. Soc., vol. 24, pp. 2417-2424, 2004.
[22] 魏炯權, 材料科學, 2001.
[23] 翁敏航, 射頻被動元件設計, 2006.
[24] S. B. Cohn, "Parallel-coupled transmission-line-resonator filters," Microwave Theory and Techniques, vol. 6, pp. 223-231, 1958.
[25] E. G. Cristal and S. Frankel, "Hairpin-line and hybrid hairpin-line/half-wave parallel-coupled-line filters," IEEE Trans. Microwave Theory Tech, vol. 20, pp. 719-728, 1972.
[26] J.-S. Hong and M. J. Lancaster, "Frontmatter and Index," in Microstrip Filters for RF/Microwave Applications, ed: John Wiley & Sons, Inc., 2001, pp. i-xii.
[27] H. Lung-Hwa and C. Kai, "Dual-mode quasi-elliptic-function bandpass filters using ring resonators with enhanced-coupling tuning stubs," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 1340-1345, 2002.
[28] O. V. Karpova, "On an absolute method of measurement of dielectric properties of a solid using a Π-shaped resonator," Soviet Phys, p. 220, 1959.
[29] W. E. Courtney, "Analysis and evaluation of a method of measuring the com-plex permittivity and permeability of microwave insulators," IEEE Trans. Microwave Theory Tech, vol. MTT-18, pp. 476-485, 1970.
[30] D. Kajfez, et al., "Computed Modal Field Distributions for Isolated Dielectric Resonators," IEEE. Trans. Microwave Theory Tech., vol. 32, pp. 1609-1616, Dec 1984.
[31] S. H. Chao, "Measurements of Microwave Conductivity and Dielectric Constant by the Cavity Perturbation Method and Their Errors," IEEE Trans. Microwave Theory Tech., vol. 33, pp. 519 - 526 Jun 1985.
[32] Y. Kobayashi and N. Katoh, "Microwave measurement of dielectric properties of low-loss materials by dielectric rod resonator method," IEEE Trans. Microwave Theory Tech, vol. MTT-33, pp. 586-592, 1985.
[33] P. Wheless and D. Kajfez, "The use of higher resonant modes in measuring the dialectric constant of Dielectric Resonators," presented at the IEEE MTT-S Symposium Dig., 1985.
[34] D. Kajfez and P. Guillon, Dielectric resonators.: New York: Artech House, 1989.
[35] B. W. Hakki and P. D. Coleman, "A dielectric resonator method of measure-ng inductive capacities in the millimeter range," IEEE Trans. Microwave Theory Tech, vol. MTT-8, pp. 402-410, 1960.
[36] Okaya, "The rutile microwave resonator," Proc. IRE, vol. 48, p. 1921, 1960.
[37] M. T. Sebastian, Dielectric Materials for Wireless Communication: Elsevier Science Publishing Company, 2008.
[38] A. Gorur, "Description of coupling between degenerate modes of a dual-mode microstrip loop resonator using a novel perturbation arrangement and its dual-mode bandpass filter applications," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 671-677, 2004.
[39] J. Krupka, et al., "Dielectric properties of single crystals of Al2O3 , LaAlO3, NdGaO3, SrTiO3, and MgO at cryogenic temperatures " IEEE Trans. Microwave Theory Tech., vol. 42, 1994.