在網路上看到甩毛巾、皮鞭的影片，會產生巨大的聲響，查找了資料，我們知道當發聲體超過音速時便會產生音爆。部分文獻提到，毛巾或皮鞭生成音爆原因是來自於角動量守衡理論，我們想利用實驗方法來驗證其正確性，因此利用video point 來分析影片討論手的加速度和毛巾末端質量、長度的關係，並用crocodile physics 做電腦模擬，我們發現毛巾長度與音爆產生無關，這樣和角動量理論模型有所不同。所以我們嘗試利用能量守恆及自由端反射駐波理論來解釋毛巾產生音爆關係，並利用影片分析及crocodile physics 驗證其正確性。We saw the film clippings on the Internet about snapping towels and whips, which made a big noise. After going through related literature, we found out that it is called the sonic boom .Some papers say that the sonic boom results from the Location momentum conservation theory. To prove its accuracy, we used a kind of computer software called Video Point to analyze in the clippings the movement of the hand, understanding the relationship between the mass of the towel end and the length of the towel. We also used another software called Crocodile Physics to simulate the whole process. We discovered that there is no connection between the length of the towel and the sonic boom. It does not conform to the Location momentum conservation theory. We then in turn employed energy conservation theory and the trait of the standing wave (specific wave length) to explain, when we also used Video Point and Crocodile Physics to prove.

本研究以均相沉澱法合成多成分的銅鋅鋁觸媒系統，並嘗試克服傳統共沉澱法的不均勻性且提高比表面積，過程中我們利用改變尿素濃度、水添加量、反應溫度與時間等四種變因成功合成出具有高活性的銅鋅鋁觸媒。研究得知最佳的合成條件為尿素3M 並添加三倍體積的水，在95°C 下反應2 小時。與傳統觸媒相比，均相反應合成的銅鋅鋁觸媒除了有較小的粒徑外，其還原溫度也較低，顯示較佳的觸媒活性。而在250°C 甲醇重組的製氫反應條件下，均相反應合成的銅鋅鋁觸媒也有較高的甲醇轉化效率、氫氣產生率以及CO2 的選擇率，而添加鈰與鋯可更進一步使觸媒活性再提升。未來除可利用此合成方法合成均勻性佳的多成份材料，亦可應用此高效能觸媒進行甲醇重組反應以產生氫氣提供燃料電池使用。; Multi-composition Cu-Zn-Al catalyst system was synthesized by homogeneous precipitation method. This method was anticipated to improve the homogeneity of metal mixing and to increase the surface area of catalyst derived by conventional co-precipitation method. In the research, we successfully synthesized Cu-Zn-Al catalyst with high activity by adjusting four experimental parameters -- urea concentration, water amount, reaction temperature and reaction time. The better catalyst can be obtained under urea concentration of 3M diluted by 3 times water, and the kinetics conditions of 95°C and 2h. Compared with the co-precipitation method, homogeneous precipitation method derived Cu-Zn-Al catalyst performed higher methanol conversion, hydrogen production rate and CO2selectivity under methanol reforming reaction at 250°C. Modifying the support by addition of Ce and Zr might further improve the activity of the catalyst. In the future, not only can this method apply on synthesizing other multi-composition materials with high homogeneity, but also the high performance catalyst can be used to do methanol reforming reaction in order to supply hydrogen on fuel cell.

自1930年代以來，考拉茲猜想(Collatz conjecture)一直是個未解之謎，其敘述如下：選定一個自然數，如果是偶數，則用2來除；如果是奇數，則乘以3再加1，經過有限次迭代，最後一定得到1。也就是說會得到1,4,2,1,4,2,…的數列，稱之為1-2-4循環。即使此猜想敘述簡單，卻是個橫跨世紀的難題，至近幾年才有一些證明方法出現。 其中一種證明考拉茲猜想的想法為證明所有不符合考拉茲猜想的狀況為假，而其中一種狀況為除了1-2-4循環還有其他組循環，即有些正整數在經過數次考拉茲猜想的計算後，會進入一組非1-2-4循環的循環。 因此，在此篇報告中我們透過討論每一個奇數在經由乘3再加1的計算後，所得到的偶數的2的冪次，再經由反證法證明除了1-2-4循環不會有其他組循環。

植物行光合作用時，電子吸收光能後在能階上躍遷，形成ATP，藉此原理，利用葉綠素吸收光能後產生的化學反應，可製作出太陽能葉綠素電池。本研究主要針對萃取葉綠素之方式、葉綠素放置天數、電池電極與電解液之成分、電池的放置環境等變因進行實驗，根據實驗結果，葉子加入酒精後，以研磨方式萃取出的葉綠素再搭配碘液、鋁箔紙、碳棒，能做出電壓：1.136V 電流：0.4mA 電功率：0.4544mW的葉綠素電池。 葉綠素電池裝置的設計不只考量到裝置的可行性，對環境友善且永續也是很重要的考量因素，因此將會從下列面向進行研究：裝置如何防水、裝置的使用期限、裝置的素材是否環保，最後成功做出了一組環保的水上漂浮葉綠素電池，未來會再提高此電池產能並且運用在農漁業上。

聚苯乙烯(S)-聚乙烯(E)-丁二烯-1(B)-聚苯乙烯(S) (polystyrene-block-poly(ethylene-ran-butylene)-block-polystyrene，簡稱SEBS)是目前直接甲醇燃料電池的質子交換膜研究中常用於與Nafion比較的膜材。Nafion的價格昂貴，且其高甲醇滲透率將造成電極毒化，故本研究探討不同製程與添加不同奈米粒子所製作之質子交換膜特性，以有效降低甲醇滲透。結果發現，添加之ZrP為層狀結構，增加甲醇通過親水區域端的難度，能有效阻擋甲醇滲透。且藉由磺酸根官能基團，以及本身帶有質子傳導性質，所以與Nafion的PTC數據差距不大，因此C/P值較Nafion高。未來可改變不同磺酸化程度，並在SSEBS內添加不同奈米粒子，並對於質子交換膜的持久性及實際應用之探討。

一般人從小就知道如果要判斷西瓜有無成熟，只要用手輕拍瓜皮，利用聲音的特性就可以知道西瓜是否成熟，此技術看起來容易，卻需有多年經驗之西瓜商始可為之。本研究利用拍擊西瓜所造成之聲音進行非破壞性音波檢測，來探討西瓜之成熟度。換言之，本研究希望在依照西瓜商拍擊的習慣下，從客觀的科學角度，探討存在於西瓜商手上「聽音辨瓜」的奧秘。由研究結果得知，西瓜的拍聲在頻譜中可分為三個頻區，即西瓜殼所造成的高頻區，水及含水量高的果肉所形成的中頻區，及由空洞及含水量低的果肉所造成的低頻區，而西瓜商就是藉由這三種音頻所表現出的綜合效果進行判斷。The method, tapping the watermelon rind and listening to the sound, has been often used to judge whether the watermelon is mature or not. Although it is not difficult to tap the rind of a watermelon, it is not so easy to have a correct judgment of the maturity just from the sound you heard, unless you are an experienced watermelon farmer. In order to investigate the secret that the farmers have, this research detects and analyzes the sound of tapping watermelons in an objectively scientific way. According to the experimental results, the sound could be approximately partitioned into three regions in the frequency spectrum, denoted as high-frequency, mid-frequency, and low-frequency regions. The high-frequency region and mid-frequency region are resulted from the hard solid rind and the juicy flesh of a watermelon, respectively. As for the low-frequency region, it comes from the vacant holes or flesh with little amount of water. Based on the experiment, it can be concluded that the maturity of a watermelon can be correctly judged from the combination of these three frequency regions, just like the farmer’s method.

前饋(feed-forward)是一種於生理反應發生之前，所進行的調節機制，為即將發生的生理作用進行準備。前人對於蟑螂消化道的前饋作用，大多著墨在酵素分泌的調節作用。本研究以美洲蟑螂作為實驗動物，觀察蟑螂消化道中前腸的組織型態，並以肌肉電位圖(electromyography, EMG)的記錄方式，探討探討味覺刺激對蟑螂嗉囊與砂囊肌肉活動的調節作用。我們發現蟑螂的消化道由橫紋肌所構成，有別於人類消化道主要由平滑肌所構成。由EMG的紀錄得知，餵食葡萄糖溶液時，可增加蟑螂嗉囊肌肉的放電幅度；而餵食味精(麩胺酸)溶液時，可增加砂囊肌肉放電幅度，推測葡萄糖與麩胺酸各可引發嗉囊與砂囊肌肉的收縮活動，皆屬於前饋機制的例子；若以清水清洗口器時，亦會引發前腸肌肉的放電行為，推測為清洗口器時引發吞嚥反射所致。

因特殊的地理關係而形成奇特之新竹北埔冷泉，其水溫長年偏低且水質特殊。本研究報告主要在探討生長於冷泉中的蝦子其所屬物種、生命力、生態及新竹科學園區所排放的廢水對其生存之影響等議題。為能獲得科學與客觀性的結果，我自己設計了實驗以及適當的實驗步驟來幫助我找到解答，這也讓我對問題有深入的瞭解。我發現這些黑殼沼蝦，螯足各節間有粗糙橙斑，可以耐7℃的低溫，靠嗅覺覓食，小蝦在前4 週呈快速的成長，污水中的蝦子短期內一定死亡，從基部斷肢才能有再生能力等結果。茲條列所探討的問題如下:1.探討北埔冷泉蝦的身體構造與其功能。2.了解北埔冷泉蝦和一般食用蝦身體構造的差異性。3.探討北埔冷泉蝦的生長環境與其行為之關係。4.探討北埔冷泉蝦的食性。5.探討北埔冷泉蝦的覓食行為。6.探討北埔冷泉蝦與養殖蝦存活率的差異性。7.探討北埔冷泉蝦與養殖蝦的耐溫能力。8.瞭解北埔冷泉蝦的雌、雄判定。9.探討北埔冷泉蝦交配與孵卵方式。10.探討北埔冷泉蝦小蝦的成長曲線。11.探討不同水質對北埔冷泉蝦的影響。12.探討北埔冷泉蝦斷肢後的再生現象。經由這次的研究，讓我對北埔冷泉蝦子的身體構造、生長環境、覓食行為、耐溫能力、交配與孵卵、小蝦的成長、斷肢後的再生、甚至水質對蝦子生存之影響等等已能深入瞭解。除此之外之外，更重要的是從疑問的產生，實驗方法與步驟的構思、做實驗的過程，及獲得可信的結果，再再使我深刻體會到科學精神的真諦。Bei-Pu cold spring of Hsinchu was formed due to the unique geographical feature. This paper investigates the species, livability, ecology and affection of water quality of the wildlife shrimps that live in this special environment. I design my own experiments and suitable procedures to help me to get the scientific and objective results. The research topics on Bei-Pu wildlife shrimps are listed below. 1. Body structure. 2. Distinguish bred and this wildlife shrimp. 3. Growth environments and its behavior. 4. Foods. 5. Hunting 6. Livability. 7. Tolerance of low temperate. 8. Male and female. 9. Mating and incubating. 10. Growth characteristics. 11. Affection of water quality. 12. Limbed and re-generation. These crayfishes can survive under 7℃. Hunting behavior is guided by olfaction other than vision. They grow rapidly in the first 4 weeks. Regeneration occurs only from the joint. Water quality is vital to them. From this study, I understood the species, hunting, mating, incubating, growth, temperature tolerance and regeneration of this wildlife shrimps. Moreover, I deeply appreciate what real scientific essence is through defining the questions, designing the experiments, procedures and obtaining the results finally.

The feasibility of new design approach for dual-band antenna array using genetic algorithm is demonstrated in this study. In the past year, one dual-band printed-strip dipole antenna, which operates at 0.9/1.8 GHz, had been implemented in the laboratory and leads to a satisfactory performance. However, the antenna element is suitable for application at base-station rather than handset. Conventional antennas suitable for base-station application are arrays, which consist of antenna elements and at least one feed network. Feed networks for antenna arrays are usually designed to operate at single-band capability, and therefore, it requires two feed networks for a conventional dual-band antenna array. Nevertheless, a dual-band antenna array fed by signal feed network is feasible in our study. To begin with, a full-wave solver ID3D is applied to evaluate the impedance matrix of antenna array with eight elements. Then, the antenna array is modeled as a cascaded equivalent transmission line such that the genetic algorithm could network of dual-band antenna array and yields a seven-section design, which meets the specification of base-station antennas.在過去的一年裡，本人曾製作過具有雙頻效果的雙面印刷偶極天線，並得到不錯的量測結果。由於此天線單元於實際應用上適於基地台天線陣列之設計，所以本研究著眼於天線陣列的設計。傳統上天線陣列的結構包含了兩個部分，分別是天線單元以及饋入電路。目前基地台所使用的大多都是單頻天線陣列，在雙頻天線陣列部分，通常需要兩個饋入電路分別對不同頻帶作訊號的饋入；因此，我們希望能實現使用單一饋入電路製成雙頻天線陣列的想法。本研究中，我們利用之前所做出來的天線單元來合成陣列，並希望此陣列在0.9HGz和1.8GHz兩個頻段都能產生良好的共振效果。我們利用電磁模擬軟體IE3D估算具有八個天線單元的天線陣列阻抗陣列後，再將此天線陣列轉換成串接式等效傳輸線電路。借由基因演算法(genetic algorithm)對此電路做最佳化，我們可以求得饋入電路各段傳輸線的尺寸。由此研究發現，我們的方法應用於單一饋入電路之雙頻天線陣列的設計是可行的，而此電路的模擬結果亦符合基地台天線陣列的規格。

Because the electrolyte solution used in an alkaline battery is a concentrated KOH solution, the zinc electrode in such a battery undergoes both a charging reaction and a corrosive reaction with the alkaline solution. The corrosive reaction not only reduces the lifetime of the battery but also produces hydrogen, which can cause the battery to explode and burn. Most of the zinc alkaline batteries currently on the market use mercury plating on the zinc electrode to increase its resistance to corrosion. To reduce corrosion of the zinc electrode in an alkaline battery and to avoid the use of toxic mercury, this study aimed to design a device to measure the quantity of hydrogen gas produced during the charging of a zinc-silver battery. We plated the zinc electrode with the immersion electroless plating method, using several different kinds of low-polluting anticorrosive additives(metallic compounds such as lead, tin, and indium)instead of mercury. We also used the vacuum immersion electroless plating method and added zincate ion into electrolyte solution to reduce further the quantity of hydrogen produced. The results of the experiment revealed that either a 10:1 or 100:1 ratio of lead to tin under optimal conditions will yield much better results than mercury.鹼性電池中使用的電解質溶液為濃氫氧化鉀溶液，因此電池中的鋅極除了放電反應之外，也會與濃鹼溶液中發生腐蝕反應。鋅極的腐蝕作用不僅會降低電池放電壽命，而且所產生的氫氣更可能使電池發生爆裂燃燒的危險。目前市面上所售之含鋅鹼性電池，大多是用鋅極鍍「汞」作為鋅極抗腐蝕的方法。為了改善銀鋅鹼性電池中鋅極在放電時的腐蝕效應，以及減少其所產生的氫氣量，本實驗設計了一動態放電裝置，可用於檢測銀鋅電池的放電電壓、放電時間與鋅極腐蝕反應的氫氣生成量。本研究藉由浸鍍其他低污染性金屬溶液 (鉛、錫、銦的化合物)來取代不環保的鍍汞製程，並進一步設計抽真空的浸鍍裝置，以及電解質溶液採用含有ZnO22-的KOH溶液，有效的降低電池中氫氣生成量。最後綜合所有優良條件，以鋅極採用真空浸鍍(Pb:Sn)為(10:1)及(100:1)的條件，此舉非常有效地提高電池中鋅極抗腐蝕性。此項製程所使用的Pb、Sn污染性質遠遠低於目前工業上所使用的汞製程污染，而且製程成本也遠遠低於Hg製程成本。