全國中小學科展

二等獎

台灣的黯化現象與形成因素探討

本研究在探討台灣的黯化現象與形成因素,黯化現象為太陽輻射量到達地表的減少現象。我們藉由比較西元1961~ 2008年間,台北、台中、台南、大武、蘭嶼、花蓮六個測站的各項氣象因子進行分析處理並探討其變化情形與成因。 \r 研究結果顯示,台灣地區的都市測站(台北、台中、台南)日照時數、日照率、全天空輻射量均呈現先下降後上升的趨勢,顯示1961至2000年間確實存在黯化現象,而在鄉村測站(大武、蘭嶼)則有微幅改變但較不顯著。並藉由可能影響黯化現象各氣象因子的比對,發現最高溫的增加幅度遠小於最低溫,可能表示黯化現象部分削弱了暖化現象。另外,溫度均較差也逐年縮小,亦可以當成黯化現象的一個顯著的指摽。在造成黯化現象成因中,污染物和雲量最為明顯。在有雲量的影響下,台灣地區汙染物濃度對黯化現象的影響程度,依序為硝酸鹽類>PM10>二氧化硫,此外少量污染物也會使雲量大幅增加,故兩者對黯化現象會產生交互影響。由雲量改變量對應日照時數改變量/雲量改變量的分析圖中,可看出都市地區年平均雲量改變量大於15%時,其雲量每減少10%,日照時數約減少3~22%;若年平均雲量改變量小於15%時,則對黯化現象不具統計意義。取每年十月中雲量在1以下的天數來分析各污染物對全天空輻射量影響,可發現雲量極低時,單位污染物濃度對黯化現象影響,SO2最大,NOx次之,PM10最小。

凸n 邊形等分面積線數量之分布探索

(一) 本研究首先導出ΔABC等分面積線移動所包絡出的曲線方程式,其圖形是由等分面積線段PQ(其中P、Q皆在ΔABC的周界上)的中點所構成,具有3 條曲線段(分別為3 條雙曲線之一部分)的封閉曲線,形成內文所謂的「包絡區」。利用包絡區的區隔,我們找出:1.當P 點在包絡區內,則有3 條等分面積線。2.當P 點在包絡區周界上,則有2 條等分面積線。3.當P 點曲線段的端點或在包絡區外,則有1 條等分面積線。(二) 以三角形的研究當基礎,擴展到凸n 邊形(不包含點對稱圖形),我們發現:等分面積線數量之分布,仍然與包絡區息息相關,且1.凸2m +1邊形最多有2m +1條等分面積線。2.凸2m邊形,必發生內文所謂的「換軌」。因此,最多只有2m ?1條等分面積線。3.包絡曲線所分割出的區域,於相同區域其等分面積線數量相同,且相鄰兩區域數量差兩條。(三) 若凸n邊形有k個「換軌點」,則此n邊形過定點等分面積線至多有n ? k 條。(四) 若凸n 邊形為點對稱圖形(如正偶數邊形、平行四邊形),則所有等分面積線皆過中心點。1) Our study got a curve equation of bisectors of a triangle. When a bisector is moving, we get three curves. They’re constructed by the midpoints of PQ. The three parts of the three curves make a closed curve which we called “the Envelope Area”. We found out:\r 1. When Point P is in the Envelope Area, we can get 3 bisectors. 2. When Point P is on the curves of the Envelope Area, we can get 2 bisectors. 3. When Point P is outside of the Envelope Area, we can get only 1 bisector. 2) Based on our study of triangles, we found that in Convex polygons(not including Point Symmetry Convex polygons), the distribution of bisectors is related to the Envelope Area. 1. We can get at most 2m +1 bisectors in a 2m +1 Convex polygon. 2. We can get at most 2m ?1 bisectors in a 2m Convex polygon, and the bisectors on the curves will “Change the Track”. 3. Envelope curve will divide a Convex polygon into several areas. The same area has the same numbers of bisectors, and the near areas have less or more 2 bisectors. 3) If a Convex polygon has k points to change the track, it will have at most n – k bisectors.\r 4) In a Point Symmetry Convex polygon (ex. Regular 2m convex polygons and parallelograms), all the bisectors will come through the center point.

The garnets of the schlich of the winter coast (the White Sea)

During an expedition to the White Sea Winter Coast, samples of schlich with numerous garnets were collected. The coast itself is primarily a set of high steeps of sandstones and mudstones with no garnets. On the beach, however, there are numerous pebbles of metamorphic rocks, and many of them contain garnets. They were brought there by the Quaternary glacier and the present day glacier activity. Their source could be the existing or fully eroded metamorphic rocks of the Kola Penninsila and Northern Karelia.\r Goal of the research: To discover the possible origin of the garnets.\r Tasks: 1) To analyze the structure and the chemical composition of the garnets. 2) To study the works on the garnets of the Kola Penninsila and Northern Karelia in order to compare the information to the results of the analysis.\r Methods: 1) Granulometric analysis; 2) Magnetic and electromagnetic separation; 3) Microscope study of the garnets; 4) X-ray diffraction analysis; 5) X-ray fluorescence analysis. \r RESULTS\r 1. The sample garnets could be divided into two types: the bright red and the pale pink.\r 2. Both types are almandines with spessartine components. The pale-pink one contains Arizona ruby components, and the bright red contains andradite ones. \r 3. Only a few samples from Khangaz Varaki, Malye Keivy, and Tersky Coast are similar to the garnets that we collected. It is possible that the glacier brought them from the Kola Penninsula, but it is also possible that the rocks, where the glacier brought our garnets from, have been totally eroded.

極速火龍-利用軟片顯影法觀測氫爆的火焰傳遞

用塑膠軟管作為氫爆安全反應器,從封閉端點燃氫氧預混氣,管中火焰\r 傳遞快速,肉眼難以觀察,因此研製「氣爆顯影記錄器」來觀測,如下圖,\r 光纖導引偵測點的火光至暗箱,記錄於高速旋轉的軟片,從光電轉速計讀取\r 轉速,軟片沖洗後量測各顯影間距,可得火焰位置與時間的關係圖,量測時\r 間最小刻度可達2. 2 微秒。\r 解讀軟片的顯影,得知氫爆初期,火焰加速傳遞,大部分在25cm 位置\r 左右,火焰的速率出現急速飆升(爆燃轉變為爆震),而且火光亮度也急速升\r 高,有時火焰速率出現飆升過高,再回降趨於穩定?的現象,在50 cm 位置\r 左右,火焰進入等速傳遞階段,此階段有穩定的火焰模型,火焰頂端的亮度\r 最高,往後亮度遞減。

量子點敏化太陽能電池中光電極應用於水裂解之產氫

本研究將探討所合成的金屬硫化物製備於量子點敏化太陽能電池之光電極,並應用於水裂解反應,使之產生氫氣作為新型替代能源。以硝酸鋅、硝酸鎘、氧化硒及硫化鈉作為起始物,利用化學浸泡法(Chemical Bath Deposition, CBD) 於氧化錫參雜氟之導電玻璃(fluorine-doped tin oxide, FTO)表面上,製備不同層數量子點硫化物之光電極。當CBD循環層數為1、5及7時,運用紫外光-可見光吸收光譜儀與掃描式電子顯微鏡分別可觀察到光譜變化,與球狀、團簇狀,以及緞帶狀奈米材料之結構。另外以線性掃瞄伏安法測量光電流,在一個太陽光強度(100 mW cm-2)照射下,當電壓為1.3 V (vs. Hg/Hg2Cl2) 時, TiO2/(CdZnS)4/(CdZnSe)2/ZnS光電極之光電流可達 79.24 mA,可證明經CBD循環製成之量子點電極具有高電催化活性。此外將沉積不同量子點的光電極與硫化鈷反電極結合後製成不同的太陽能電池,在一個太陽光強度照射下測量其光電轉化效率,當使用的光電極為 TiO2/(CdZnS)4/(CdZnSe)2/ZnS 時,可得最大轉化效率η為 2.40 %。更進一步,以此光電極在定電壓下進行水裂解反應,由自製的氫氣收集器收集氫氣,可得其與白金對電極產氫率為 0.98 mmol/hr,以此可確定最佳化的光電極。

以Hα、K-Line、UV、Soft X-ray波段太陽影像試求太陽光球層之上的徑向較差自轉.

本研究以網路上Soft X-ray、UV195Å、K-Line、Hα波段太陽影像上黑子,光斑經度位置的逐時變量,試求太陽自光球層以上各層是否有越高層轉速越慢的現象?經試用數種方法求大量黑子、光斑位置,最後以省時,且誤差減小的"由PhotoShop軟體讀出黑子、光斑在圖檔中位置,於EXCEL軟體中套用日面座標公式",以Peter Meadows的黑子定位程式抽樣對驗,來求其經緯度值。結果:在任何緯度,光球層以上各層轉速不同(徑向較差自轉現象),但並非越高層越慢,而是在大部分緯度處其各層速度變化呈 的快慢交替現象。

橡膠鍵鏈結構與自由能的關係

受應力拉伸時,橡膠溫度明顯上升;縮放回原長,橡膠溫度驟降。由文獻得知橡膠內部具有特殊的鍵鍊結構,在一般的情況下,交鏈分子糾結成一團,狀態複雜;受外力拉伸時,交鏈分子依橡膠長度之增加而伸展,排列較為整齊,狀態之複雜度減小。根據熱力學第一定律,當內能變化為零,則外力作功會造成能量變化。在定溫之下,橡膠內能變化為零,當其受應力拉伸,使其內部交鏈分子排列複雜度降低,造成橡膠熵值減小,而有能量(dQ=TdS)的釋出。測量此一能量dQ 變化,即可計算出熵與狀態數之變化The temperature of rubber rises as it is stretched, its temperature comes back again while it restores to its original length. It is known that the rubber is consisted of long-chain molecules, the long-chain molecules strangle each other at normal state, however, they become more order when the rubber is stretched. Based on the 1st law of thermodynamics dU=dQ+dW, The deformation caused by applied force supplies energy to the rubber and reduce its entropy, the heat dQ (=TΔS) released by the reduction of entropy causes the temperature rise of rubber as dU=0. We report the study on the correlation of thermal properties and the molecular network in rubber, from the measurements of temperature change, the changes of entropy and the changes of states’ number were estimated.

太陽短期活動對地球磁場與大氣溫度異常的影響

This study analyzed how short-term solar activities interact with the earth atmosphere, by using two statistic methods: Diffusion Entropy Analysis (DEA), and Standard Deviation Analysis (SDA). Since solar activities influence the Earth atmosphere in its radiating heat and magnetic field, we use DEA and SDA to calculate the exponents, H and δ, of the scaling law in three time series: “the intensity of solar flare” (representing by SOLAR H-alpha flare index), “magnetic anomaly of magnetosphere” and “sea surface temperature anomaly”. The values of H and δ show the time memory and correlative relationship between the event and next event happening in time series. When H = δ = 0.5, events occur in random. When 0.5

綠色陶土分子篩-污染大剋星

現今日常生活充斥著有機污染物,然而處理含有有機污染物的廢水需要極高的成本,有鑑於此,我們參考Fenton Reaction,從成本、毒性、活化能、操作方便性、二次污染及經濟效益的多方考量下,選擇以分子篩來固定鐵、鈷、鎳、錳、鋅之金屬離子,並決定以鐵分子篩為研究主軸,並探討其催化過氧化氫對有機物的分解。鑒於粉末狀的分子篩容易流失,我們以陶土固定分子篩,製作成反應杯槽,發現了分子篩與陶土的結合性。接著藉由二氧化碳感測器及光譜儀來感測有機物的分解速率,在控制溫度,濃度等條件下,探討分解有機物的反應及其反應時的特性。由實驗結果得知,分子篩能有效分解簡單醇類、氯仿、四氯化碳及indigo。使用0.35克陶土鐵分子篩,1M 以下的雙氧水50ml,其分解異丙醇所生成二氧化碳的速率可達0.34-0.55ppm/sec 之間(3.1-4.9×10-9mol/sec),此外有機氯化物分解後生成無毒性的氯離子;indigo染料分解後褪色。本實驗證實,陶土鐵分子篩:一、可以重複使用;二、可在較低濃度環境下運作;三、在酸性較弱環境下運作;四、可在低溫環境下運作(10℃);五、不須對大量鐵離子做沉澱回收的工作(此五點優於Fenton Reaction)。相較於TAML 等人工合成的催化劑雖有避免污染的優點,但卻有無法重複使用的缺點,綜合以上幾點看來,陶土鐵分子篩在操作方便性及經濟與環境保護上具有相當的潛力及價值。With organic pollutants everywhere and the high cost to dispose of them, this study, a two-stage experiment, aimed first to evaluate the efficiency of zeolite with different metal ions and then to compare their rates in reacting to the decomposition of organic matter with hydrogen peroxide as the catalyst. Since zeolite powder can be easily washed away, we tested zeolite with clay to hold such metal ions as Fe, Co, Ni, Mn, and Zn and finally used the Argillaceous Fe-zeolite for its superiority on the basis of cost, toxin, activation energy, easy operation, and contamination. A carbon dioxide sensor and a spectrometer for visible light were used to measure the decomposition rate of organic matter under controlled temperature and resolution concentrations. The results of the experiments showed that zeolite achieved excellent effects in decomposing organic chlorides such as lower alcohols, chloroform, and carbon tetrachloride. When 0.35g of zeolite and less than 1M of hydrogen peroxide resolution were used the rate of carbon dioxide production reached 0.34-0.35 ppm/sec (3.1-4.9x10-9 mol/sec). The decomposition of organic chloride produced nontoxic Cl and the indigo dye faded after it was decomposed. Our experiments proved that Argillaceous Fe-zeolite has the following five advantages over Fenton Reaction. First, it can be reused. Second, it performed well at lower concentrations. Third, it worked well under weak acid conditions. Fourth, it worked at a lower temperature (20℃). And finally, there was no need to recycle a large amount of Fe ions. Argillaceous Fe-zeolite was also found to be superior to TAML, which has the advantage of avoiding contamination but is not reusable. The above observation and discussion demonstrate that Argillaceous Fe-zeolite possesses very significant value in terms of easy application, economy, and environmental protection.

灰階影像內容之檢索技術

資訊時代的來臨,促使我們的社會型態大幅改變,無一不朝數位化的方向邁進。網際網路與資訊科技的快速發展,近年來影像資料庫和數位圖書館大量的成立,關於影像資料檢索的研究已漸漸成為一門極為重要的研究議題。在本研究報告中,我們提出一種植基於向量量化編碼法的灰階影像檢索技術。向量量化編碼法是一種極為簡單的影像壓縮技術。我們應用這個編碼法,來萃取出灰階影像內容的特徵值。同時我們也計算出整張影像與影像中間位置的像素平均值,作為日後檢索影像時過濾掉影像資料庫中不需要比對特徵值的依據。\r 我們所提出的方法能有效地萃取影像內容的特徵值並且讓使用者可以快速且正確地查詢到所需要的影像。當影像資料庫中存在與查詢影像完全相同的影像時,我們的檢索技術都能在第一時間第一順位檢索出這張影像。即便影像資料庫中不存在與查詢影像完全相同的影像時,我們的檢索技術平均74.3%也能在第一時間前五個順位檢索出最相似的影像。\r \r With the coming of the information age, our sociological system change extensively, and everything has moves toward digitization. Due to the rapid development of Internet, information technology, the rapid growth of image databases and digital libraries recently, the related researches of image retrieval have become a very important issue. In this memoir, we propose an image retrieval scheme based on the vector quantization to retrieve similar images from the image database according to the pre-collected image features. Vector quantization is a very simple image compression scheme. We have applied vector quantization to extract features from grayscale image. In order to speed up the retrieval process, we also calculated the mean pixel values of whole images and the central part of the image to filter the images, which are significantly dissimilar to the query image.\r The experimental results show that our proposed approaches can effectively extract features from the image and enable users to retrieve images from image database quickly and accurately. When images stored in image database match query image, the proposed scheme can instantly retrieve the stored image at the first rank. Even though images stored in image database query image exactly, the proposed scheme can instantly retrieve the stored image over 74.3% at the first five ranks.