全國中小學科展

2003年

含環胺-亞胺雙牙配基及其鎳錯合物的合成、結構鑑定,及烯烴催化聚合反應

本研究合成含環形胺—亞胺雙牙配基鎳金屬催化劑,用以催化烯烴聚合反應。將2-甲基丙醛經由溴化、胺化及亞胺化的步驟合成含胺—亞胺的雙牙配基,Et2NCMe2CH=N(2,6-iPr2C6H3) (3a)、(c-C4H8)N- CMe2CH=NPh (3b)、RNCMe2CH=N(2,6-Me2C6H3) (R = c-C4H8 3c,c-C5H10 3d)。再將配基和Ni(DME)Br2 (DME = 1,2- 二甲烷氧基乙烷) 反應, 形成鎳金屬錯合物Ni [Et2NCMe2CH=N(2,6-iPr2C6H3)]Br2 (4a)、Ni[RNCMe2CH=N (2,6-Me2C6H3)]Br2 (R = c-C4H8 4c,c-C5H10 4d),並作結構鑑定。其中3b、3c、3d、4c、4d 均為合成的新化合物,4d 獲得X 光單晶繞射結構。 以合成之鎳錯合物作為催化劑,催化乙烯或降冰片烯(C7H10)的聚合反應,探討反應活性和高分子產物的性質。與含相同碳數的錯合物比較,在胺基具環形取代基的錯合物對乙烯的催化活性較佳,聚乙烯產物分子量較高,分子量分布範圍狹窄;其對降冰片烯的催化活性略遜於非環形者。同為環形取代基時,六環較五環者對乙烯的催化活性較差,但對降冰片烯的催化活性較佳。顯示乙烯聚合與降冰片烯聚合有不同的反應決定步驟。催化劑及配基的設計的確可以操控聚合反應及其高分子產物的性質。 The synthesis of α-amino aldeimines Et2NCMe2CH=N(2,6-iPr2C6H3) (3a), (c-C4H8)NC Me2CH=NPh (3b), RNCMe2CH=N(2,6-Me2C6H3) (R = c-C4H8 3c,c-C5H10 3d), as well as the nickel complexes Ni [Et2NCMe2C- H=N(2,6-iPr2C6H3)]Br2 (4a), Ni[RNCMe2CH=N (2,6-Me2C6H3)]Br2 (R = c-C4H8 4c,c-C5H10 4d) has been succeeded. Their structures were mainly determi ned by spectroscopy or elemental analysis. The complex 4d was characterized by X-ray crysta llographic analysis. It shows that the nickel complex has distorted tetrahedral configuration. The catalytic reactions of ethylene or norbornene polymerization using the newly synthesized nickel complexes are studied. All catalyts show high activity toward studied olefin polymerization. Comparing the data of the catalytic ethylene polymerization for complex 4c with those of its isomer complex 4a, the former is found to results in higher activity as well as the larger molecular weight of the PE products with the narrower dispersity. On the contrary, 4c shows lower activity in the reactions of norbornene polymerization than 4a. For the cyclic amine derivatives, 4c of five-membered amino group shows better catalytic activity toward ethylene polymerization than 4d of six-membered amino group. But 4d gives better perfomance for norbornene polymerization than 4c. Such results indicate that the processes of ethylene and norbornene polymerization might have different rate-determining steps. These study confirms that the design of ligand and catalyst are crucial with respect to the control of the catalytic olefin polymerization and the properties of the polymeric products.

台北市內湖區金面山地衣調查與空氣污染對地衣影響之探究

本研究工作自2001 年7 月至2002 年6 月止,在臺北市內湖區金面山進行地衣實地探勘採集調查,以位於臺北市內湖區之麗山高級中學之校園為中心點,範圍由校園金面山至學校前門所面對的港墘路與環山路口。應用「外部型態比較」,「切片觀察(徒手切片技術)」與「化學分析(薄層色層分析Thin Layer Chromatography, TLC)」等三種方法,鑑定所採集之地衣所屬種類,並探討空氣污染程度對金面山地衣類分佈狀況的影響。調查至2002年6月為止,本研究已發現生長於金面山區之數種地衣,其中殼狀地衣包含有:癩屑衣屬(Lepraria)、球粉衣屬(Spheophorus)、大孢衣屬(Megalospora)等三屬;屬於莖狀地衣的僅有石蕊屬(Cladonia);為葉狀地衣的則有:黃梅衣屬(Xanthoparmelia)、裸緣梅衣屬(Parmotrema)、梅衣屬(Parmelia)等三屬,合計共七個屬。本研究針對臺北市金面山區及麗山高級中學之校園附近市區道路地衣類分佈的情形做調查,結果發現行道樹上之附生地衣在較靠近山區的地方,於樹幹上的生長覆蓋面積才會有明顯增加的情形,又其中在市區道路上只發現殼狀地衣生長,而莖狀及葉狀地衣則出現於金面山頂附近,所以就此情況而言,除了金面山區外,市區已呈現地衣沙漠化之狀況,間接顯示,市區的空氣污染是相當嚴重的。本研究將所調查結果之各屬地衣類進行特徵描述與分佈地區之標定,以便於日後臺北市內湖區金面山地衣之鑑識及後續相關研究之進行。This research was carried out between July 2001 and June 2002 on the Jinmian Mountain in Neihu,\r Taipei City and consisted of an on-the-spot exploration and collection of lichen. The Taipei Municipal\r Lishan High School was the center of this research, and the researched territory consisted of the areas\r between the mountain at the back of the school (Jinmian Mountain) and the intersection between\r Gangcian Rd. and Huanshan Rd. in front of the school’s main gate. Comparison of external appearance,\r dissectional observation (manual breaking technique), and chemical analysis (Thin Layer\r Chromatography, TLC) were the research methods applied to determine the genus of the lichen and the\r influence of the degree of air pollution on the distribution of the lichen.\r By the end of the research in June 2002 the presence of three types of lichen on the Jinmian\r Mountain was observed: crustose lichen: Lepraria, Spheophorus, Megalospora; fruticose lichen: Cladonia;\r foliose lichen: Xanthoparmelia, Parmotrema, Parmelia. Seven different genus of lichen have been found.\r The research has been done on the distribution of these different genus of lichen in the area of the\r Jinmian Mountain and The Taipei Municipal Lishan High School: By observation the sidewalk trees\r near the mountain’s area, we found the covering area of the lichen on the sterns apparently increases,\r while on the trees in the city district, only crustose lichen grow. The fruticose and foliose lichen only\r grow near the top of the Jinmian Mountain. This impoverishment of the diversity of lichen in the city\r district might (indirectly) be an indicator of the considerable decline of air quality in the city. The\r outcomes of this research regarding the description and distribution of the lichens contribute to the\r knowledge on lichens in the Jingmian Mountain area in the Neihu District, and may raise the similar\r research in the future as well.

隨機遞迴數列及渾沌現象

給定一個p∈(0,1),令k0=0,p0在(0,1)間隨機分布,定義 k1為能使的最小正整數k,而;相同的,對於給定的kn-1,kn為能使的最小正整數k,。若存在kn使得,則稱p∈In;若對於所有的n與kn,,則稱p∈I∞。如此區間(0,1)可分解成集合I1,I2,…I∞。

趨光性及族群壓力的探討

The purpose of the research was to find the relationship between the fruit fly’s attraction to light (or heliotaxis) and their genes. Fruit flies, because of their short life span of approximately two weeks, and their simple requirements for survival, are ideal candidates for the study. With a specially designed device "Mi Gong" for the experiments, fruit flies could be separated and cultivated in accordance to their preference to specific wavelengths of light. They received cross-breeding and were studied to learn the ratio of the resulting offspring in their preference to the light. It was observed that the majority of the fruit flies were more attracted to violet light. It was also found that the next generation of the fruit fly inherited higher sensitivity to the light than their parents. Knowing that there could be potential margin of errors in the experiments, the results of the study demonstrated that light, as an external source, had limited impact to heliotaxis of fruit fly. The study suggested that insects with heliotaxis, including fruit fly, inherited heliotaxis in their genes. The study also pointed out the potential benefits of employing heliotaxis in many areas especially in the agricultural development. Furthermore, heliotaxis can be utilized to study the difference in the behavior of nightlife insects before and after the invention of manmade light source.這項研究,主要是在探討果蠅的趨光性和遺傳的關係。很多種昆蟲都具備趨光性,我們之所以以果蠅作實驗,主要是因為其生活週期短,大約兩週,且易於培養。實驗內容是以「迷宮器材」來鑑別果蠅對某一特殊色光的偏好,將該群果蠅分離出來培養,令其繁衍後代,觀察其後代對此一色光偏好的比率,我們所用的果蠅大致上對綠色光較敏感,而其子代的敏感度較親代高。因此,我們推論趨光性會遺傳,且受光影響,但並非全由光影響,故這可能是實驗中的誤差成因。雖然此實驗是以果蠅為對象,但亦可假設其它具趨光性的昆蟲,也可能是因遺傳而導致其子代有趨光性,而我們可利用其趨光的一些特性,減少農作物因害蟲類的果蠅而損失,並且希望可以得知,在人造光源還未出現在世上時,夜行性昆蟲是否有差異。

MTU值與網路效率的關係

中文摘要:\r 本研究旨在探討,在TCP/IP 協定之下,最大網路傳輸效率之MTU\r (Maximum Transmission Unit,最大傳輸單位)值。根據IEEE 所公\r 佈Ethernet 之標準,經實地模擬實驗,本研究之結論如下:(1)在\r 單純兩台電腦直接串接時,由於幾乎無任何干擾與封包的碰撞,可設\r 定之MTU 最大值以1500bytes 為最佳;(2)但在模擬真實的大型廣域\r 網路時,由於碰撞增加及雜訊增多,經模擬實驗顯示,MTU 值為\r 1500bytes 時無法在資料傳送、接收及重組時取得平衡,最佳之MTU\r 值落於500 到600bytes 之間,進一步研究顯示MTU 值設在500 到\r 600bytes 時可提升傳輸效率約50%。同時,本研究亦討論將此機制應\r 用於未來新網路標準之可行性及其必要性。Abstract:\r The main purpose of this research is to explore the best network\r transmission efficiency's Maximum Transmission Unit under TCP/IP\r protocol. According to the Ethernet's standard of IEEE and simulated\r experiments, the outcome of this research are :( 1) When connecting two\r computers serially, there is almost no interference and impact of packets,\r the best MTU that we can set up is 1500bytes ;( 2)When simulating the\r truly wide area network, interference and impact are rising. The result of\r this simulates experiment shows that when MTU is at 1500bytes, it's\r unable to keep balance when sending, receiving and re-composing. The\r best new MTU is between 500bytes and 600bytes. And when MTU is\r between 500bytes and 600bytes, the network transmission efficiency can\r be promoted about 50% higher. At the same time, the research is also\r discussing the feasibility and necessity of applying it to the standard of\r the future network.

氣候變遷對台灣地區異常降水的影響

Drought and inundation are two unusual natural disasters in Taiwan. The two natural disasters\r have some relation of abnormal rainfall become more and more in Taiwan. So it let me think about\r can climate vicissitudes make the chance of abnormal rainfall become more?\r The study have researched the chance of abnormal rainfall by "rainfall duration" and "total\r rainfall". It collect the day by day total rainfall from 1960 to July 2002, collect locals are Taipei,\r Taichung, Kaohsiung and Hualien. Than enter the data into the computer, let computer calculation\r total rainfall, rainfall days, heavy rain days, pouring rain days and torrential rain days. Then\r analysis the tendency of long-term change.\r According to the analysis, the chance of abnormal rainfall happened become more in Taipei,\r Taichung, Kaohsiung and Hualien. The ratio of Hualien and Kaohsiung is the most obviously. It's\r also find that there temperature and total evaporate became higher, the total sunshine duration\r became lower. Then El Nino have some influence in abnormal rainfal. In El Nino year, total rainfall\r will become lower. When La Nina year, the total rainfall will become more in Taipei and Hualien.\r Then the long influence is clearly in Taipei.\r 乾旱與水災是台灣地區相當常見的二項天災,這二項災害的發生都與異常降水有直接的\r 關係。近年來台灣地區因異常降水造成的天然災害,似乎有逐年增加的趨勢。因此讓人聯想\r 到氣候變遷是否會導致異常降水頻率增加。\r 本研究主要由「降雨時數」與「降雨量」二方面探討異常降水發生頻率。先收集台北、\r 台中、高雄、花蓮四地自1960 年至2002 年七月三十一日之逐日雨量資料,將資料輸入電腦\r 後,統計各站歷年降雨量、降雨日數、大雨、豪雨、暴雨日數,並分析長期變化趨勢。\r 分析結果,台北、台中、高雄、花蓮四地異常降水發生機率,有增加的情形;其中以花\r 蓮及高雄變化的比例最高。再與其他各地氣象要素比較可發現,可能與氣溫及蒸發量數上升,\r 以及日照時數縮短有關。另外聖嬰現象也可能對異常降水有長期性的影響。一般而言聖嬰年\r 雨量減少,反聖嬰年台北、花蓮地區雨量反而會增加。而長期性的影響,以台北地區最顯著。

『吸凍!』--再造保麗龍的第二個春天

中文摘要 本實驗先尋求將廢棄保麗龍磺酸化為陽離子交換樹脂(本實驗稱”保麗龍膠”)的方法。將保 麗龍依:丙酮溶解→硬化→打碎→與濃硫酸共煮三小時→浸於50%硫酸溶液中→沖洗→以水 浸泡的流程,即可達再造的目的;我們測得其磺酸化比例為62.5%。再利用「碘滴定法」(浸 泡式)與「相對電壓檢測法」(流動式),依次尋求保麗龍膠吸附金屬離子的最佳條件。其中「碘 滴定法」可有效測出銅離子濃度,但手續繁瑣;「相對電壓檢測法」最大的好處是知道保麗龍 膠何時吸附達飽和必須再生。 目前我們所知,要保麗龍膠達到吸附陽離子的最佳效能,其條件依次為:使用細粒的保 麗龍膠;低濃度的金屬離子溶液;質量愈大的保麗龍膠;低溫下較慢的金屬廢水流速及pH 值約為4.30 的銅離子廢水;鈉型的保麗龍膠吸附效能優於氫型。保麗龍膠對不同金屬離子亦 有吸附力,單位體積所含離子數愈少,初始的相對電壓會愈高;在相同莫耳濃度下,不同離 子的吸附力依次為Cr3+>Fe3+>Ni2+>Cu2+>Co2+;分次吸附確可將金屬離子完全去除;由 吸附等溫線觀察得知,可能保麗龍膠為多孔物質,導致500ppm 以下的吸附模式無法明確判 斷,1000ppm 以上則為物理吸附模式;保麗龍膠可以再生也可被覆在砂粒上達到不錯的吸附 效能;最後,我們將吸附過金屬離子的保麗龍廢膠與硫酸鈣、紙漿及些許的石灰(質量依序為 13 克、13 克、7 克、0.04 克)混合,可製成類似紙黏土,做成造型磁鐵,廢物利用十分有趣。 Abstract The Experiment will, first of all, explore the ways to sulfonate expandable polystyrene into cation ion exchange resin (called “polystyrene rubber” hereafter in the experiment). The procedures of treating expandable polystyrene are as follows: acetone dissolve→hardening→smashing→ boiling with sulfuric acid for three hours→immersing in 50% sulfuric acid solution→washing→ immersing in water so that we may reach the goal of reconstruction. We calculate the sulfonated rate to be 62.5%. Then we make use of “Iodine Titration”(immersion method) and “Opposite Voltage”(floating method) to seek for the best conditions of adsorption the metallic ion through polystyrene rubber. The former can effectively calculate the concentration of copper ion, but the procedures are quite complex. The greatest advantage of the “Opposite Voltage” method is that we may know when the adsorption of polystyrene rubber is saturated and should be regenerated. As far as we know at present, the conditions of obtaining the best effect that polystyrene may adsorb the cation ion are as follows: fine particles of polystyrene rubber; low concentration metallic solution; polystyrene rubber of which the mass is greater; at lower temperature, slower waste water flow speed and the copper ion waste water with pH 4.30; the adsorption effect of sodium type polystyrene rubber is better than the hydrogen type. Polystyrene rubber also has adsorption effect toward different metallic ion. The less ion per cubic contains, the higher the original opposite voltage. With the same mole concentration, different ion adsorption effects may range as follows: Cr3+>Fe3+>Ni2+>Cu2+>Co2+. The batch adsorption definitely may erase metallic ion completely. By observing the adsorption isotherm, possibly because the polystyrene rubber is a multi-apertured matter, we find that it is impossible to judge exactly the adsorption model of those metallic ion solutions of which the concentrations are below 500ppm. Those which are over 1,000ppm belong to physical adsorption models. Polystyrene may be regenerated and get an adsorption effect by coating sand particals. In the last analysis, we may make paper clay and magnets of different styles by mixing the adsorbed metallic ion polystyrene rubber with calcium sulfate, paper pulp and a little lime(the mass are respectively 13g, 13g, 7g, and 0.04g). The reuse of waste is really very interesting.

Biosolids : Bio-transfer Factors of Trace Metals

With an increase in the use of biosolids as a soil replacement and as a fertilizer for crop production, consumers continue to question the safety of crops grown in biosolids.Although past research has shown that there are no adverse affectsin the nutritional value of plants grown in biosolids, I furtherresearched the safety levels of trace metals in crops fertilized using biosolids.

The Flying Chloroplasts Drug Test

Previously, I studied the acute effects of a common broadleaf herbicide, Killex (by Montsano) and a pesticide, Spidercide (by Wilson), on cytoplasmic streaming in detached leaves from the pond weed, Elodea canadensis. I found that Killex, active ingredient 2-4D, an auxin analog, applied at the recommended dose decreased the rate of cytoplasmic streaming by 64% over a 20 minute observational period. The Spidercide, active ingredient d-trans allethrin, a Na+ channel activator, stopped cytoplasmic streaming after a 5 minute exposure and no recovery was observed during the 20 minute observational period.

關於二元根樹上的鏈、反鏈、獨立集的計數及極值

二元根樹是資訊科學上最重要的結構之一,因此其結構的探討就很有價值。在這個研究中,我們探討二元根樹上反鏈(Antichain),鏈(Chain),獨立集(Independent set)計數。在每一個子題之下,我們求出計算反鏈,鏈,獨立集的方法。之後我們求出極值(包括最大跟最小值),並且討論該極值之下所有可能的樹形。此外,我們並討論要列出二元根樹上這些資料(反鏈,鏈,獨立集)所需的演算法。In this paper we enumerate the number of antichains, chains, and independent sets of a binary tree of size n. After that we focus on the extreme values (maximal/minimal). we calculate the extreme values and discuss the possible graphs of trees when achieving these extreme values. Moreover, we offer algorithms for listing all the objects in each extreme case.