全國中小學科展

臺灣

三個新的鋅的幾何異構物

在本實驗中,我們合成了三個新的鋅的幾何異構物:trans-facial-[Zn(dipica)₂]Cl2.CH3OH(dipica=dipicolylamine,C12H13N3,雙(2吡啶甲基)胺)trans-facial-[Zn(dien)2]Cl2(dien=diethylenetriamine,C4H14N3,二乙基三胺)及反式-[Zn(demn)2Cl2](demn=N,N’-dimethylethylenediamineC4H12N2,N,N'-二甲基乙二胺)。本實驗的特色皆在室溫下反應,採用擴散法培養晶體。trans-facial-[Zn(dipica)22]Cl2.CH3OH晶體為三斜晶系,晶格常數a=8.8269(6)Å, b=8.9908(6)Å, c=10.0292(6)Å,α=76.715(1)。,β=81.232(1)。,γ=67.753(1)。;其空間群為P1,可信度R=0.025,Rw=0.0697。六配位的陽離子,其結構為扭曲八面體,兩個含氮三牙基(dipica)trans-facial配位,赤道面(ZnN(1)N(2)N(1A)N(2A))由兩個含吡啶環之氮(N(1)、N(1A))及兩個飽和胺之氮(N(2)、N(2A))所組成。主軸為兩個吡啶環之氮所組成。兩個含氮三牙基(dipica)與鋅的咬合角皆為84.5。。trans-facial-[Zn(dien)2]Cl2晶體為單斜晶系,晶格常數為a=11.3050(3)Å,b=10.9264(3)Å, c=12.6147(3)Å,β=92.884(1)。;其空間群為P21/c,可信度R=0.0191,Rw=0.0484。六配位的離子,其結構為扭曲八面體,兩個含氮三牙基(dien)與鋅的咬合角為156°、157°。反式-[Zn(dmen)2Cl2]晶體為單斜晶系,晶格常數 a=10.3397(4)Å,b=8.5916(4)Å,c=7.9774(3)Å,β=100.520(1)°;其空間群為C2/m,可信度R=0.0266,Rw=0.0686。其結構為八面體,鋅原子四個氮原子組成赤道面(ZnN(1)N(1A)N(1B)N(1C)),兩個氯原子位於此平面的兩側。兩個含氮雙牙基(dmen)與鋅的咬合角皆為83.0(1)Å。 In this study, we have synthesized three new geometrical isomers of zinc(II)complexes: trans-facial-bis(dipicolylamine)zinc(II)chloride-mathanol(1/2)(trans-fac-[Zn(dipica)2]Cl2.2CH3OH), trans-facial-bis(ethylenetriamine)zinc(II)chloride(trans-fac[Zn(dien)2]Cl2)and trans-bis(N, N'-dimethylethylenetriamine)zinc(II)chloride(trans-[Zn(dmen)2]Cl2). The crystals suitable for X-ray diffraction were obtained by slow diffusion of ether to solution of the products. There molecular strctures determined by X-ray diffraction. The complex trans-fac-[Zn(dipica)2]Cl2.2CH3OH crystallizes in the triclinic space group P 1 with a=8.8269(6)Å, b=8.9908(6)Å, c=10.0292(6)Å,α=76.715(1)。,β=81.232(1)。,γ= 67.753(1)。, for Z=1. The R value is 0.0259 for 3286 significant reflections. In the hexacoordinate cation, the two tridentate dipicolylamine ligands are trans-facially coordinated with two pyridine nitrogens and two secondary amine nitrogens situated on four positions in a basal plane(ZnN(1)N(2)N(1A)N(2A)). The remaining two pyridine nitrogens constitute the axis in a distorted octahedra structure. Colorless trans-fac-[Zn(dien)2]Cl2 crystallizes the monoclinic space group P21/c with a=11.3050(3)Å, b=10.9264(3)Å, c =12.6147(3)Å,β=92.884(1)。,and Z=1. The R value is 0.0191 for 3285 significant reflections. The zinc(II) atom has distorted octahedra coordination, in which the ligands are bound in a trans-facial configuration. Colorless trans-[Zn(dmen)2Cl2] crystallizes the monoclinic space group C2/m with a=10.3397(4)Å, b= 8.5916(4)Å, c=7.9774(3)Å,β=100.520(1)。, and Z=2. The R value is 0.0266 for 856 significant reflections. The zinc(II)atom of trans-[Zn(dmen)2Cl2]is six coordinate with 4 nitrogens of bidentate dmen forming a basal plane(ZnN(1)N(1B)N(1A)N(1C)),and two chlorines on the axial sites completing an octahedra structure.

動物血型及血清的研究

人類血清中存在天然的抗體,能認識A型紅血球的A抗原及B型紅血球的B抗原,因此寫型不合的血液混合會導致血液凝結。在我們的實驗中,我們發現一種異體的血清與血球相混合也會產生凝集反應,顯示動物的血清中也存在認識異種異體紅血球抗原的天然抗體。然而在實驗是常用的基因相異的七種不同品系小鼠及一種大鼠血清中,卻看不到存有天然抗體可認識彼此血球的抗體而產生凝集反應,顯示老鼠似乎異於人類,血清中沒有天然抗體來引發彼此的血球凝集。而且抗馬血清可與經電泳分離後的馬血清在洋菜膠上形成三個沉澱線,但不會與老鼠血清及牛血清有任何反應。雖然抗馬血清與人及兔血清有交叉反應,但仍顯示出其結合的特異性。除此之外,我們發現來自不同品系的小鼠及大鼠的白血球彼此會互相反應並聚集在一起,顯示不同品系的小鼠及大鼠白血球可認識同種異體及異種異體的白血球抗原。因此不只是血清中的抗體,白血球本身也可認識同種異體及異種異體的抗原。所以除了人類血清中天然抗體及經由免疫注射產生的抗馬血清之外,為經過免疫注射的人或老鼠身上的白血球也具有認識同種異體及異種異體抗原的能力,因此我們認為不僅是抗體,連白血球都可當作鑑別物種的診斷工具。

很錳的顏色

高二上學期化學第一章,就討論到電子組態及原子光譜,雖然課本上有美麗的光譜插圖,但是觀念還是覺得十分抽象。所以老師為了提高我們學習的興趣,在實驗課中教我們自製簡易分光器,實際去觀賞各種光源及有色溶液的光譜,觀賞過程我們發現下列的問題:(1)為何一般離子是帶狀光譜,而MnO4- 光譜卻像線光譜?(2)MnO4- (深紫)和Mn2+(幾近無色),兩者顏色差異很大。是否與Mn 離子是否單獨存在有關係?(3)而另外CrO42- (黃)、Cr2O72- (橙)和Cr3+(深藍色),三者顏色差異,是否與MnO4- 和Mn2+原因類似?為了尋找這些答案,於是開始了這個題目研究的過程。這期間我們花了很多時間與方法,嘗試將肉眼觀察到的影像,在自設的簡單暗房中,將光柵卡在數位相機的鏡頭前,以腳架或翻拍架拍攝下來。另外我們也應用到高三上學期平衡常數測定實驗中比色法的觀念,以及物理學上單狹縫繞射的觀念,使課本中的理論與實驗研究相互結合!最後我們藉分光光譜儀測定各有色溶液的可見光吸收光譜,再去定量分析這些有色溶液的顏色深淺,並查閱相關的文獻資料。最後發現MnO4-應該是一種電荷傳遞的遷移,所引起特別深顏色的現象。 至於CrO42- 、Cr2O72- 和Cr3+三者顏色比較上是否和MnO4- 和Mn2+一樣的情形?我們推測應該也是如此!初見Cr3+有很深的顏色時,的確嚇了一跳,不過最後我們還是從它們的可見光吸收光譜中發現: CrO42- 、Cr2O72- 在λmax 的吸光度比Cr3+還要大!但是為何肉眼觀察到的Cr3+顏色會比較深?那是因為我們視覺上對藍綠色比較敏感的緣故!請參考表一。 We have discussed some electronic configurations and atomic spectrums in chemistry class. Although there were a few beautiful spectrums in textbook , but it’s difficult to understand. So we made a simple spectroscope by ourselves to observe spectrums of different light source and color solution . After some observation we have found some problems below : (1)Why the spectrum of color solution is band spectrum , but the spectrum of permanganate ion (MnO4- ) like line spectrum? (2)MnO4- (deep purple)and Mn2+(pink), their color are different very much. Is it because of the lone existence and binding with oxygen atom of manganese ion? (3)Additionally CrO42- (yellow)、Cr2O72- (orange)、Cr3+(deep blue),Are their color’s difference same as MnO4- and Mn2+? In order to solve it , we started to do the reasrech. We tested different methods much time to record . Finally , We found a good method . That’s placed a grating in front of the digital camera len to take single slit diffraction spectrum pictures in the dark space. Additionally we used spectrophotometer to measure the visible light absorption spectrum. We compared and matched with single slit diffraction spectrums and visible light absorption spectrums. Then we found the intense color of MnO4- due to charge transfer in reference book. How about color’s difference between CrO42- 、Cr2O72- 、Cr3+group and MnO4、 Mn2+ group? We guess they had the same result . We can find the λmax of CrO42- 、Cr2O72- is larger than Cr3+ from the absorption spectrum. But the observation from naked eyes was inverse . This is owing to our vision is more sensitive to blue color. Refer Table 1.

國民身分證相片規格驗證暨浮水印防偽系統

政府全面換發國民身分證,並訂定新式身分證之規格,以防範遭不法偽造之情事,確保民眾權益。然而其中的照片規格,有十多條規格的限定,若用傳統的辨別方式,近1876 萬張照片是否合乎規定,那將耗費多少的人力呢?於是本次研究主題「新式國民身分證相片規格驗證暨浮水印防偽系統」即產生,設計一套程式,提高換發國民身分證的工作效率及確保換證使用相片的正確度。並且延伸研究出使用內崁式的數位浮水印〈Digital Watermarks〉,將全國民眾的身分證照片統一建立資料庫,並自動加入個人資料浮水印。日後,照片只需透過本程式分析,即可知道其姓名、身分證字號、有無犯罪前科等個人資料。希望藉此達到降低偽造身分證之犯罪率,以保護民眾之權利。 The government is launching to renew national identification cards with new norms, to avoid fake ones. However, there are more than ten limits on photos, it could be wasting time to discern by people. Thus, I launched a research on "The xamination on new national ID card photos and watermark forgery-proof system". The program will help both to enhance efficient renewal process and to use correct photos. Also we developed the embeded Digital Watermark technology, which would create a database for ID cards of the nation and could add personal infomation automatically. With the help of the program, simply run the photo analysis, we could find out the names, ID number, criminal background, etc.We hope to decrease crimes via fake ID cards, and protect the national right.

動力機械(內燃機)模型引擎之研究

最古老之動力機械為蒸氣引擎,在早期蒸氣火車發電機皆由蒸氣引擎發展而來,本研究即利用最古老之蒸氣引擎(俗稱飛龍引擎)之製作,以探討內燃機之基本理論以作為模型引擎設計之基礎。在飛龍引擎製作中,歷經引擎無法轉動之痛苦,並極力找尋一百年前發明蒸氣引擎之同樣思考,最後找尋到引擎啟動之合適尺寸,再用其尺寸延伸做實驗,以發展其理論,最後發現引擎設計之重要變數如管長﹑火焰﹑本身重量均為設計中重要因數,最後用正式機械設計方式完成第四代引擎亦正式運轉,可見本蒸氣引擎之設計基礎具有相當實用之基礎。The oldest locomotive engine was the steam engine. All early steam locomotives were developed from the steam engine (Heron engine) and this research project uses the Heron engine to explore the fundamental theories behind the internal combustion engine as a model for basic engine design. During the production stage of the Heron model, there were difficulties with engine rotation, and so efforts were made to find the same thought processes involved in producing the steam engine 100 years ago. The dimension appropriate for moving the engine was first found, and then the idea was extended with experimentation of the size in order to develop the theory of engine design. In the end, the length of the steam hose, the strength of flame, and the actual weight of engine were all found to be important factors of design. Finally, the fourth generation Heron engine was able to rotate properly using the proper engine design method, so it can be seen that the fundamentals of steam engine design has quite a practical engine design basis.

非線性振動-單擺運動方程之數值分析與研究

在我們的這主題中,以單擺為主要研究對象,利用數值方法寫成計算程式,並藉 以整理運用繪圖軟圖,描繪其運動的模式之物理意義,便是我們此主題的重點所在, 並且我們更深入於實際物理情況中,消耗力或摩擦力終將阻滯運動以迄振動不再發 生。我們一開始利用RK4 數值方法將單擺運動方程寫成Visual Basic 6.0 計算程式來解 其運動方程得到等時距之角度及角速度,再藉由Matlab5.3 繪出我們想要的圖形―角度 與時間,角速度與時間以及角速度和角度之相圖。所得的圖形中,也分為有或無阻尼, 每項中又有不同的討論,如:在已知的任何一個初始狀態下,其擺動的情況當然也有 互相之對照比較,最終得出精采的結果:且將單擺作了完整且一般性的分析。因為此 番分析研究是屬理論性,雖然實驗之佐證但我們藉由Easy Java Simulation(台灣師範大 學黃福坤教授在http://140.126.110.168/~phy50/所提供免費下載)製作動畫來驗證了我們 所得的結果是十分正確無誤【它只能得到各初始條件下之單一圖形,而我們的方法可 以將各單一相圖統整成相平面及相空間並分類】

擬-Lucas多項式的幾個性質

本篇文章從"將aⁿ+bⁿ分解成(a+b)及ab的非線性組合"出發,在同樣的遞迴精神下引進並定義擬-Lucas多項式 <Sn (X)>:

無尾翼飛行器之穩定與控制

無尾翼飛行器(Tailless Aircraft)在軍事上的價值極大,且對於目前正在起步的微飛行載具(Micro Air Vehicle)而言,亦是值得嘗試與投資的。然而,由於無尾翼飛行器缺乏用以平衡的水平尾翼,造成其靜態的不穩定,即使設法提高靜態穩定特性,但其氣動力阻尼低、穩定性仍舊不佳。操縱上更是困難,在飛行穩定性與控制系統設計上極其挑戰性。本研究目的在探討無尾翼飛行器之穩定性與控制技術,改善其先天之不穩定特性,考慮之項目有縱向靜態穩定性、動態穩定性、控制面與組件配置等因素等進行詳細之探討。首先,找出了適用於無尾翼飛行器之Reflex翼形,接著建立無尾翼飛行器之非線性縱向動態模式,然後針對一翼展8Ocm之小型飛行器進行外型設計,並觀察分析其實際飛行狀態,再以理論與經驗公式估算無尾翼飛行器之氣動力導數,探討其飛行穩定與操控性能。此外,並運用古典控制PID控制法則,設計控制器進行非線性受控系統之動態響應模擬。由模擬結果可看出,經由翼剖面改變與控制系統的輔助下,大幅提高了其性能,使得無尾翼飛行器克服了先天的不穩定特性,更提高了其發展空間 The tailless aircraft has a great value on the military use. Meanwhile, it is worthwhile to try and to invest in it for the investigation of MAV(Micro Air Vehicle), which is being developed now. However, because of lacking horizontal tail which is used for balance, the tailless aircraft is static unstable. Even with the attempt to enhance its characteristics of static stability, the stability of the tailless aircraft is still poor for the sake of it's low damping in aerodynamics. Therefore, it is a challenge to flight stability and control system designing. The purposes of this research are to study the stability and the control technique of the tailless aircraft. To improve its congenital lacking of stability, thought over the longitudinal static stability, dynamic stability and control system. First, find the "Reflex" airfoil is suitable for the tailless aircraft. Second, set up a non-linear and longitudinal dynamic model of the tailless aircraft. Third, design an 80cm span small airplane. Hence, observe and analyze its flying condition. Finally, utilize the theoretical and experiential equations to estimate the aerodynamic derivatives and investigate its stability and controllability. Besides, use the PID controller to proceeded the time-response simulation of the non-linear system. The result of simulation shows that the performance is improved through the change of the airfoil and with the auxiliary of the control system. With this improvement, the tailless aircraft overcome the congenital lacking of stability to broaden its utilization potential.

Poly(ADP-ribose)polymerase-1 對細胞內DNA damage修補的調控

Poly(ADP-ribose) polymerase-1 (PARP-1)是一個細胞核內的酵素,它可以被因DNA damage\r 而形成的DNA片段活化,並將NAD(+)上的ADP-ribose轉載到結合蛋白質。這些結合蛋白質對\r 於DNA的合成、DNA的修補、以及細胞週期的調控都有關係。因此,PARP-1被認為是維持基\r 因完整性的重要角色。根據初步的研究,抑制PARP-1的活性對許多疾病的治療都可能有效,\r 其中包括癌症、心臟病、中風、糖尿病、發炎以及反轉錄病毒的感染。然而,以藥物抑制一\r 個對DNA修補這麼重要的酵素會有什麼潛在的問題呢?為了要得到解答,我們需要進一步了\r 解PARP-1在DNA damage反應的機能。在這一份報告中,我製造了一個失去活性的PARP-1突變\r 種,即E988K。經過對E988K詳細的研究,我將比較及分析PARP-1野生型與E988K之間不一樣\r 的互動蛋白質,希望能對PARP-1所控制的DNA修補有更進一步的了解。\r \r \r Poly(ADP-ribose) polymerase-1 (PARP-1) is a nuclear enzyme activated by DNA strand breaks\r during DNA damage response and catalyzes the transfer of ADP-ribose units from the substrate NAD(+)\r to acceptor proteins. These acceptor proteins involve in modulation of chromatin structure, DNA\r synthesis, DNA repair, transcription, and cell cycle control. Thus, PARP-1 is believed to play an\r important role in maintaining genome integrity through modulation of protein-protein and protein-DNA\r interactions. PARP-1 has been the target for design of inhibitors for over twenty-five years. Inhibitors of\r the activity of PARP-1 have been claimed to have applications in the treatment of many disease states,\r including cancer, cardiac infarct, stroke, diabetes, inflammation and retroviral infection. However, are\r there potential problems associated with inhibition of this DNA-repair enzyme? To answer this question,\r we need to further understand the biological function of PARP-1 during DNA damage response. In this\r report, an enzyme dead mutant (E988K) of PARP-1 was generated. Detailed studies of E988K show that\r E988K could be used in the following studies. Compare and identify the different associated proteins of\r PARP-1 wild-type and E988K will shed light into the molecular mechanism of PARP-1-mediated DNA\r repair.

“碘化鋅”產率變變變---溶劑對產率的影響

The research mainly discuss the influence on the rate of zinc iodine with different solution as catalytic agent. We use water, acid water, ethanol methanol acid ethanol, and acid methanol and so on as different solution to participate in the process of an equation: Zn+I2 → ZnI2 to work out the variation of the product's amount. Besides, we also change the proportion of Zinc and Iodine to discuss the difference between the proportion of reactant and the product's amount. The result shows that the product of this equation is ZnI2 not Zn(I3)2. Ethanol and methanol have the same effect as water to accelerate the process of the equation. We find out that this reaction get higher product's amount in acid condition. Also, put the mass Zinc with the mass iodine can get higher product's amount, Furthermore, acid in specific range (0.01M—1.00M), the denser the acid is, the higher product's amount we get. But how the water as catalytic agent work in the reaction is the direction we can research deeply in the days to come. 鋅和碘作用生成碘化鋅的反應,是用水作為催化劑,然而一小滴水卻使這個反應劇烈進 行,我們嘗試了多種和水具有相同作用的催化劑,由於反應時間極短不易測量,我們考慮由 產率部分著手,讓原本只需一小滴的水〈催化劑〉改為此反應的溶劑,計算其產率的變化。 實驗分為三部分,第一部份先是改變不同的溶劑,讓鋅和碘在不同溶劑〈水、酸化水、乙醇、酸化乙醇、甲醇、酸化甲醇〉下反應,計算出產率的變化,我們發現在酸中的產率的確較不加酸者來得高。第二部分我們改變加入鋅和碘的量,改變鋅和碘的比例,讓鋅由過量到成為此反應的限量試劑,觀察其產率的變化,我們發現碘作為限量試劑較鋅作為限量試劑的產率高。由於此反應在酸中產率較高,但酸的濃度高低是否又會影響產率呢?我們繼續第三部分的實驗,改變酸的濃度,讓此反應在不同的酸化水濃度的溶劑下反應,討論產率和酸濃度的關係,我們發現在一定範圍內〈0.01M~0.5M〉,酸的濃度越高,產率亦越高。 實驗方法是將鋅和碘置入同一試管中反應,並使其在不同溶劑中反應,接著離心,將碘化鋅水溶液與未反應完的反應物分離,將所得的碘化鋅水溶液使用結晶法得到碘化鋅晶體,秤重並計算其產率。