全國中小學科展

四等獎

瞬間碰撞的數位影像分析

本實驗利用「閃光攝影術」,由拍攝桌球碰撞球拍拍面瞬間照片,希望能測量桌球與拍面的接觸時距、摩擦力、恢復係數。近年來,數位相機已經具有單眼相機所有功能,所有攝影參數可記錄調整,並且可以馬上看,作影像處理,大幅降低拍攝費用,若配合高速閃光燈,可以拍到重複曝光照片,所有的數據由照片測量,是計算碰撞問題的新的構想,適用於所有球類的碰撞。

奈米碳管的成長機制與電性量測之研究

本實驗是控制奈米碳管的成長條件,研究奈米碳管的成長機制、電子場發射特性。奈米碳管的物理性質會因捲曲度(helicity)、管壁厚度(單層或多層)、管徑所影響,而不同的捲曲度,會形成不同電性(金屬性或半導體性)的奈米碳管。由此可知,探討奈米碳管的成長機制,以控制奈米碳管的穩定成長,及如何長出電性或光學性質相近的奈米碳管,是極為重要之事。為了研究奈米碳管的成長機制,我們使用微波電漿輔助化學氣相沈積法 (Microwave plasma ehanced chemical vapor deposition) ,在市售的縫衣針針尖上,成長奈米碳管,這個技術能夠經由吸收微波達到局部加熱針尖的方式,再透過控制微波功率、通入氣體的種類、壓力的變化以及催化劑的使用,能夠達到有效控制奈米碳管的成長條件。我們改變三個參數:催化劑的使用、氣體種類(Ar+CH4 或N2+CH4)及壓力,之後利用SEM 觀察奈米碳管的成長情形;再測量場發射(測量電性),討論不同成長的條件與場發射電流關係。

無機砷與硒對染色體傷害之交互作用

中文摘要 重金屬對人體傷害的無遠弗屆-人人皆知,根據流行病學的研究指出,長期處在 重金屬含量過高之地區,易造成生理病變。比方說,長期生活在砷含量高的環境中, 易導致肝臟、周邊血管及神經系的損害,各種癌症的發生機率也大為提高。 本實驗以中國倉鼠卵巢細胞(CHO-K1)為材料,利用微核偵測技術(Michronuclei, MN)及姐妹染色分體互換(Sister chromatid exchanges, SCE)之誘引來探討亞硒酸鈉 (Sodium selenite, NaSeO2) 及亞砷酸鈉(Sodium arsenite, NaAsO2) 的交互作用 (interaction)。實驗結果顯示亞硒酸鈉本身不會造成MN 的增加,但讓SCE 頻率增加; 亞砷酸鈉會誘引增加MN 和SCE。亞硒酸鈉前處理不會減少亞砷酸鈉誘引之SCE 和 MN,但可微微降低亞砷酸鈉抑制雙核細胞(Bunucleated cells, BN)的形成,但是不明 顯。本實驗結果未能看出亞硒酸鈉前處理與亞砷酸鈉有明顯的交互作用,但發現亞 硒酸鈉會增加SCE 頻率,因此亞硒酸鈉做為保健食品值得進一步的關切及探討。 英文摘要 It is well-documented that exposure to heavy metals could cause seriously adverse effects to humans. Epidemiological evidence has shown that illness is frequently observed in residents living long-term in heavy metal contaminated area. For example, arsenic exposure was associated with increased incidences of liver diseases, peripheral vascular and neurological diseases, as well as cancers. In this report we investigated the interaction of selenite and arsenite on micronuclei (MN) and sister chromatid exchange (SCE) induction in Chinese hamster ovary-K1 (CHO-K1) cells. The present results demonstrated that sodium selenite by itself did not induce MN, but it did cause the increase of SCE frequency. Sodium arsenite significantly induced MN and SCE in CHO-K1 cells. Pretreatment of CHO-K1 cells with selenite could not reduce MN and SCE frequency induced by arsenite, but slightly prevent the cells from arsenite-induced inhibition of binucleated cell formation. In the present study, no significant interaction between sodium selenite pretreatment and sodium arsenite was observed. However, sodium selenite was unexpectedly found to enhance SCE frequency in CHO-K1 cells. The application of selenite as health protection agent warrants our concerns and further investigation.

巨型小翼效應—未來長程客機經濟省油妙方

本研究主要是探討翼端小翼對飛機飛行的影響,翼端小翼在現在不少的飛機上都有這種設計,假設小翼可以阻止飛機機翼末端的氣流上旋,進而增加升力與推力,讓飛機能提高飛行時的效率,為了驗證這個假設,因此製作了簡易風洞對小翼的升力與阻力進行定性和定量的探討。升力與阻力的定性定量探討是經由10 組主機翼與五個小翼組合,共有2000 次的測試記錄,再轉化成折線圖予以比較研究,而得到一個穩定性數值結果。這測試實驗的數值結果顯示:小翼可以增加升力,但是也會增加阻力,為了降低阻力,小翼的剖面最好是有弧度。The purpose of this research is to find out the effect resulted from the winglet of the plane to the flight. Many a winglet is nowadays designed for the airplane. Assumes the winglet can stop the air of the tail section of the airplane to revolve up, further increase the force of the raise and the push, and uplift the efficiency of the flight. In order to proof this assumption is correct, so makes an easy air hole to do the research of qualitative and quantitative analysis for the force of the raise and resistance. After about 2000 records tested through the combination of ten sets of the main wing and five tiny wings, and transference of curve diagram , we get a steadily value result. This test result appear the first the winglet can increase the force of the raise, and so do the resistance, and the second to have the force of the resistance decreased, it might be better the section of the winglet is not straight but circular.

牛魔王的故鄉-台東利吉惡地之探討

本研究針對利吉惡地進行探討,研究此區之泥岩含水量、有機質含量、pH值、比重、可溶性陽離子含量、滲水特性和該區之植物種類,並探討坡度、水量對沖蝕率、山脊密度和溝痕形成之影響。 研究結果發現: 一、表層泥岩之含水率較高,深層泥岩最低。中層泥岩之有機質含量較高,表層與深層泥岩較低。各層泥岩pH值約8.1;無植被採樣點之 pH較高,有植被採樣點偏中性。有植被採樣點,其 Ca2+含量較高。 二、此區共發現十九種植物,其中銀合歡、相思樹屬優勢種。 三、坡度增加時,沖蝕率亦增加;水量增加時,沖蝕率、溝痕寬度也隨之增加,兩者呈高度正相關。第一區坡度較緩,山脊密度較大,第二區坡度較陡,山脊密度小,表面較平坦,溝痕較淺。Our research discusses with the contents of water in mudstone, the organic content, pH, the specific weight, the contents of dissoluble cation, dankness and the category of plants in Ligiligi Badland. Dissecting it`s slope, the abrasion of water, the density of mountain ridge and the formation of scuff mark. Outcome of our research: 1.Solum of mudstone is the dampest. Intermediate of mudstone has more organic content than others. Every bed of mudstone`s PH is 8.1. Having plants area is indifferent and having more Ca2+.2.We found nineteen categories of plants. For example Leucaena glauca and Taiwan acacia. 3.The more augmentation of gradient,the more increase of the abrasion of water and the breadth of the density and the abrasion of water too.

正多面體翻轉遊戲的立體化研究

如果n-1 個正四面體在n 個面的多面體棋盤中翻轉(如:正八面體、正二十面體、五邊雙菱錐及三角錐台棋盤),則正四面體相互之間會受到很多限制。本研究為探討n-1 個正四面體在n 個面的多面體棋盤中,利用其翻轉的特性,翻轉至相鄰空格,進而完成:1. 每個正四面體的底面及側面均能「同色共面」。2. 在滿足以上的兩個條件下做「數字排序」。3. 探討每個遊戲在各階段是否有解的情形。最後,將遊戲推廣至正八面體在多面體棋盤中的翻轉。If n-1 pyramids can turn in the chessboard of n planes pyramids (ex: 8 planes pyramid, 20 planes pyramid, 5 sides bi rhombus pyramid and triangular pyramid chessboard) there are lost of restrictions between these pyramids. This research is discussing about the n-1 pyramids in the chessboard of n planes multi pyramid, which have the peculiarity of turn that can turn to nearby space. We found that: 1. Each pyramid’s button plane and aide plane can be “same plane same color”. 2. Matching about 2 conditions then can do “order by numbers”. 3. Search for answers of each levels in each game. Finally, the game will be propagated to eight planes pyramid can turn on the chessboard of multi pyramid.

步步為營

Two soldiers walk on a checkerboard. They can only walk one step once a time and two directions, front and left, are decided randomly. The gunshot is the column and row where a soldier is located, and one will die if he enters the gunshot area of the other. To treat the probability of winning, we first study the cases of 1×n, 2×n, 3×n, and 4×n rectangles iterately. Then we establish a general form of the probability of winning in a general n×k rectangle by using recurrence technique and generating function, respectively. Finally, we extend to the general n×m×k cuboid case to obtain the first soldier’s probability of winning.在一個長方形的棋盤中,兩士兵行走,每一次只走一步,而且上和左兩個方向是隨機的,射程範圍是所在的此行和此列,而進入他人射程範圍則死亡。探討其獲勝機率,從1×n 、2×n、3×n、4×n 矩形的情形逐步研究,並分別運用遞迴式的技巧及生成函數,導出 n×k 矩形中先走士兵獲勝機率的一般式。更進一步地,我們也獲得了n×m×k 立體空間先走士兵的獲勝機率。

甲醇氧化物對直接甲醇燃料電池發電效能的影響

The purpose of this paper is to study the roles of formic acid and formaldehyde playing in the Direct Methanol Fuel Cells(DMFCs).The assumption is now widely accepted that the Oxidation-reduction intermediate of cell like formic acid and formaldehyde will hinder the reaction of DMFCs. At first, we recorded data which measured the efficiency of DMFCs working under the different temperature of fuel, then we recorded data which measured the efficiency of DMFCs working under the different consistency. In the end, we compared the data we recorded before and chose the best reaction environment as standard environment for the future experiment. Then we discover intermediate has positive effect on DMFCs. we separately put formic acid and formaldehyde into fuel, and we discover the efficiency is better than\r before. For example, the volt stability and volt intensity of DMFCs are better. The above conclusion is mainly based on open current volt, equally volt and electric current density which is the standard of evaluation.本實驗主要探討甲酸、甲醛等雜質在直接甲醇燃料電池中扮演的角色,一般認為甲酸等是甲醇在電池中反應的中間產物,大多數人認為這些中間產物會阻礙燃料電池的反應。而我們先針對了甲醇在各種溫度下電池的效能先做出了圖表,並使用不同濃度的甲醇燃料來測量電池的效能並與之前溫度的圖表做比較,選出最合適的直接甲醇燃料電池反應環境作為添加雜質實驗的標準環境。接下來我們在研究過程中發現,其實中間產物可能對電池有正面的效果,我們發現甲酸、甲醛等對直接甲醇燃料電池的電源輸出有正面的影響,例如電壓穩定性與電壓強度的增強。在研究中,我們將甲酸等加入燃料電池的燃料(甲醇)內,模擬甲醇因不當保存而產生的雜質,針對添加物的濃度做些調整,以電池的開路電壓(OCV)、平均輸出電壓、以及單位面積的電流密度作為評比電池效能的標準,並找出甲酸等對燃料電池效能的影響,並進一步找出最適合的電池燃料配置。

無紫外光下的抑菌-可見光奈米光觸媒研發

In this experiment, we hope to produce appropriate-sized nano particles of by using the chitin. By mixing the particles with the metal of Ti, Fe and Zn of proper proportions and therefore narrow their band gaps. Thus, the Bacteriostasis of LightPhotocatalysts could appear under the environment where the energy is lower than ultraviolet ray. We use de-acetylated chitin in three ways -- chelating agent, surfactant and protecter. Then we put a thin layer of the mixture of chitin and metal nano particles on a piece of glass, and afterwards, sintering the mixture on the glass. Next, we scan the surface of the glass with AFM(Atomic Force Microscopy) to measure its particle size. The result we got showed that the surface-roughness of the Ti-Fe nano particles was 30.642nm, the best solution of all the samples. Yet, in this experiment, Fe was not suitable. Therefore we should choose the sample of Ti-Zn mixture, which is slightly smaller in roughness. According to the result we got from the experiment, we found that, under the yellow light, the survivable strain-number ratio of the sintered Ti-Fe-Zn mixture on the glass and empty glass was 0.09±0.06. This was much better than the survivable strain-number ratio of 0.17±0.06, the result we got out from the glass of pure Ti and empty glass. From the measurement, we found that the proportion of mixture could lower the excitation energy Ti needs. Through this experiment, we hope to create a layer of film containing nano particles, and by applying it to daily-use products, we could prevent harmful bacteria. 本實驗的目的,就是希望可以利用幾丁質製作出適當粒徑大小的金屬奈米顆粒,混合適當比例的鈦、鐵、鋅金屬,使其能隙變窄,讓我們能在低於紫外光能量的光譜下,產生奈米光觸媒的抑菌效果。筆者在實驗中利用去乙醯化之幾丁質在本實驗中扮演三種角色:螯合劑、介面活性劑及保護劑,以將幾丁質與金屬奈米顆粒均勻塗抹於玻璃上,並以燒結玻璃的方式進行實驗。並且利用AFM掃描玻璃表面,確認其表面尺度,驗證的結果Ti-Fe混合比例的奈米顆粒之表面粗糙度為30.642nm,為最佳狀態,但在本實驗中Fe並不適用,故應以粗糙度僅次於Ti-Fe的Ti-Zn混合比例為主。根據實驗的結果,在綠光下,混合比例的Ti-Fe-Zn玻璃與空白玻璃的菌落數比,菌落存活率為0.09±0.06,相較於純Ti的0.17±0.06來的低,代表混合比例可降低Ti所需之激發能量。經過此實驗未來筆者希望可以以幾丁質製作出一層含奈米顆粒的薄膜,應用到各種生活用品防止細菌的危害。

綠色化學-應用吸水高分子螯合銀離子並製成奈米銀

聚丙烯酸(PAA)是尿布中吸水成份,我們利用其結構上的羧基螯合Ag+,並成功以甲醛將Ag+還原成奈米銀。但我們意外發現螯合Ag+的PAA白色粉末在沒有其他還原劑存在下也會漸漸變成黃色,與「利用甲醛還原製得的奈米銀」顏色十分相似。本實驗即揭開此粉末變色真相,希望能在不使用額外還原劑下,直接以PAA將螯合的Ag+製成奈米銀,不僅具環保與實用價值,更能使奈米銀製程朝向綠色化學。我們透過水溶性聚丙烯酸鈉(SPA)在均相中進行變色機制探討及影響變因的研究,找出有利的反應條件,再應用於PAA。研究證實PAA能將螯合的Ag+同步還原成奈米銀,反應機制與檸檬酸鈉作用模式相似,而提升濃度、溫度或照光有利於反應,酸性條件則不利,照各種色光也有所差異。