The purpose of this research is to create a device that is able to precisely measure small dynamic changes which cannot be recognized by the human eyes. The Vernier Caliper and the screw micrometer are common tools used to precisely measure lengths of objects. However, things which are measured by the Vernier Caliper or the screw micrometer have to be in a solid state, and the shape cannot be changed. By applying the light lever principle on Lego bricks, this research uses the LabVIEW graphical programming system to design a device which is able to automatically measure small dynamic changes. The precision of this device is higher than that of the Vernier Caliper and the screw micrometer. Moreover, this device is able to precisely detect the small dynamic changes of solids and liquids as well. Through numerous tests, the least count of the device can reach the level of 10-3cm. Also, this device has successfully measured small changes, such as the height of the liquid surface by one drop of water, the evaporation of water in one minute, and the growth of a plant in one hour. By popularizing this device, people will be able to precisely measure small dynamic changes which are difficult to be measured in a short time.

隨著科技的發達，工業廢棄物應運而生，在地小人稠的台灣，每年就產生約6000 公噸的廢觸媒，為了讓環境免於遭受廢棄物的污染，本實驗著重於廢觸媒的再利用，探討廢觸媒作為混凝土中礦物摻料對水泥(砂)漿流動性的影響。 本實驗所採用的廢觸媒來自石油裂解廠的靜電集塵廢觸媒，主要由SiO2 及Al2O3 所組成且具有部份非結晶相和卜作嵐材料之特性，外觀為乳灰白色粉末、含水量2.8﹪，溶於水中有放熱現象，pH 值為3.85。廢觸媒對水的親和力大，添加至水泥(砂)漿中會使得漿體的流動性減小，因此必須藉由提昇強塑劑劑量才能提高工作度。 在水膠比(W/B)為0.42 時，隨著強塑劑HPC-1000 劑量的增加，水泥漿的流度明顯增加，而且適當量的廢觸媒取代水泥，能維持水泥漿一定的流度。當強塑劑HPC-1000 劑量為3.0﹪、砂/水泥＝2.75 時，隨著水灰比(W/C)的增加，水泥漿的流度也明顯增加，而同條件下，不論水膠比(W/B)0.485 或0.55 時，廢觸媒取代水泥之水泥砂漿的流度比飛灰、爐石、高嶺土好，與矽灰相當，其最佳取代水泥量為15﹪。 As technology continues to develop, a considerable amount of industrial wastes have been produced.In Taiwan, over 6,000 tons of spent catalysts were brought out yearly. If such wastes can be reused in some ways, it may be helpful to protect our environment from being polluted. This study was taken to determine the influence of spent catalysts on the flowability of mortar while the catalysts were used as mineral additives for concrete. Since the catalysts could reduce the flowability of cement pastes because of the affinity between the catalysts and water, it was necessary to have superplasticizers added to improve the fluidity of the mortar. The spent catalysts used in this study were spent electrostatic precipitator cracking catalysts, called Epcat, which were provided by petroleum refining companies. Comprising mainly silicon oxide and aluminum oxide, the off-white catalyst powder present water content of 2.8%, pH value of 3.85 and exothermic reaction with water. In this study, it was found that while the ratio of water to binder (W/B) was 0.42, the flowability of the cement pastes increased with the increasing addition of superplasticizers. Besides, the flowability of cement pastes kept steady while a proper amount of Epcat was used to replace cement.When the ratio of sand to cement (W/C) was 2.75, with 3.0% superplasticizers HPC-1000 added,the flowability of the mortars markedly increased while the W/C increased, and the replacement with spent catalysts made the mortars show similar flowability as silica fume but better flowability than fly ash, slag and kaolinite, no matter the W/B value of the cement pastes was 0.485 or 0.55. In fact, the best Epcat replacement for cement was 15%.

吊白塊是一種在現切水果中常見的食品添加物，它可使剛切的水果不易被氧化，並同時具有漂白的效果，但此種添加物會對人體造成許多疾病。本研究針對吊白塊作嘗試性的初級檢驗，選用一般常見的氧化劑和染料，自行研發簡易的檢驗方法，且進一步製作安定性佳且攜帶方便的試紙。本實驗結果發現，由衛生局提供的「藍吊試劑」本身不甚穩定，且顏色變化不明顯；在自製檢驗試劑方面，效果最佳的是過錳酸鉀，濃度可測至0.0005M，且反應相當快速，唯試液容易與水果表面的Fe(II)離子反應；孔雀綠和晶紅酸等染料效果亦佳，且變色相當明顯，但反應時間較長。Rongalit is a bleaching agent commonly used as a food additive. It can prevent fresh fruits to be oxidized (without color-changed), especially when they were cut for sale. However, as for this additive, it is not good on health and is necessary to be detected. The test-paper currently used, the so-called “blue-test paper”, can be obtained from the Department of Health (Taipei). However, its stability is poor; the color change is not clear when it reacts with Rongalit. For this reason, I developed simple methods for detecting Rongalit by using various oxidizers and dyes. A test-paper, with better stability and easily for carry, was successfully developed. The findings show that the use of KMnO4 on the homemade test-paper provides the best result. The reaction time is short and the limit of detection can be improved to 5 × 10-4 M. The color changes were also clear when malachite green and fuchsin acid were used, but the reaction times were longer.

我們的研究報告，是對校園中所種植的各種變葉木所做的一個研究，經過一連串的實驗證明後，我們確信花青素對變葉木的光合作用會有所影響。接著，我們測定出未氧化的植物色素與已氧化的植物色素吸光能力有很大的差異，我們假設花青素可以吸收某些特定波長的光以防止植物色素的氧化程度過強，實驗後證明我們的假設是正確的。另一方面，我們預期花青素具有保溫的機制，故設計了一個在低溫下花青素可保溫的實驗以證明之，結果和我們的假設相符合。我們預期花青素可利用保溫的特性降低植物因低溫所造成的傷害，減少農業上的損失。This study is about the Codiaeum variegatum which is grown on campus. After a series of experiments, it was proved that “anthocyanin” has a significant influence on the photosynthesis processing in Codiaeum variegatum. A great difference in the pigment of plant’s light-absorbing ability between the oxidized plants and the non-oxidized ones was also found in the experiments. Therefore, it was supposed that anthocyanin could absorb some special range of wavelength to avoid the pigment of plant to over-oxidize. The result of this experiment is in accordance with our supposition. In addition, we anticipated that anthocyanin has the ability to stay warm. By a designed experiment we successfully found that the result is exactly the same as our assumption. According to the findings of our study, we expect the characteristic -- ”staying warm” of anthocyanin could be applicable to decrease the harm to plants caused by the low temperature, and thereby to reduce the loss in agriculture.

當流體由圓管流下，在碰撞到物體後水流會產生類似駐波的形狀。為瞭解此現象的產生機制，及影響此現象的變因，我們改變流體的表面張力、流速及與碰撞物體間的距離，以探討各變因對波形所產生的影響，進而研究此現象的成因。由實驗結果發現波形會因流速加快、擋板距離增加、表面張力減少而有波長變短的趨勢，且可以用表面張力波的理論解釋。由理論推導的結果，可測量液體表面張力。由於圓球狀的外型使表面積增大，可增加液體之散熱的面積，因此可應用在水冷系統方面。A phenomenon similar to the standing wave, which occurs when a slow-velocity fluid jet collides with an obstacle, was observed. Because the free surface profile was observed to be stable, the phenomenon was not considered as standing wave. To understand the mechanism of this phenomenon and the factors that can affect the free surface profile, the surface tension of the fluid, jet velocity and the distance between the exit of the tube and the obstacle are varied to study their influences on the free surface profile. According to our experiment, the wave length is shortened when the jet velocity or the distance between the tube and the obstacle increases or when the surface tension decreases. The tendency of the investigated phenomenon can be explained by the capillary wave theory. Based on Bernoulli’s principle, continuity principle and surface tension\r equation, an ODE (ordinary differential equation) could be formulated. By using numerical method to solve this ODE, we predict the free surface profile which could match the experimental photo well. The tendency of the phenomenon can also be explained by the ODE. In order to measure the surface tension of the fluid, we wish to minimize the experiment apparatus. To enhance our assumption we use laser to locate the individual particle that we add in the fluid and calculate the velocity field of the flow jet.

在本次實驗中，我發現膠狀電解質溶液中的帶電離子，會因為離子團的熱運動，和電偶極的庫倫吸引力 (electric dipole) 的交互作用下，使溶液的I-V curve (電流-電壓曲線)，具有類似磁滯曲線(Hysteresis curve) 的效果；而膠狀溶液之濃度越高，電解起始點的對應I-V 值也越大。此外，白金電極與銅箔電極的距離若改變，也會使溶液的I-V curve 變的不一樣。另一方面，我也發現，在給予膠狀電解質溶液一緩慢外加的電壓或衝擊電壓並持續維持此一定額外加電壓時，會因為該溶液的黏度持續增高、帶電離子濃度增高且反應不斷變化下，而使該溶液的對應電壓，形成一重複出現「先降-後升-再降」的震盪現象，且電壓值節節升高。最後，我利用掃描式電子顯微鏡（SEM）及能量分散光譜儀（EDS）觀察銅箔電極之表面變化並分析其上之化學組成，藉此嘗試解釋上述這些有趣的現象。In this experiment, with the interaction of the heating action of ionic atmosphere and electric dipole, I find that ions in the gel make the I-V curve in the colloid electrolyte liquor show up with the effect similar to Hysteresis curve. The higher concentration of the colloidal solution, the bigger value of I-V at the initial electrolysis reaction was found. Furthermore, the shape of I-V curve is dependent on the distance between platinum electrode and cupper electrode. On the other hand, I find that when I apply a gradual extra-voltage or a fast extra-voltage to the colloidal electrolyte solutions and then maintain to a fixed value, this will make a unique ‘two peaks’ state oscillation of corresponding voltage. The reason is owing to the climbing viscosity and ion concentration in the solution. With the methods of scanning electron microscope (SEM) and energy dispersive spectrometer (EDS), I observe the change and analyze the components of chemicals on the surface of the cupper electrodes. Finally, I present the interesting results and try to interpret these phenomena.

流行病的傳染如同一個無尺度網路，但有一些特殊特性在發展一套新傳播模式時，是需要被詳加考慮的。我採用時間位移(t 與ti 分別以t?(ti?1)與ti?(ti?1)來取代)至無尺度網路模式中，再引入一個非連續強力函數H(t; ti?1, L+ti?1)來描述流行病傳播的特定時段與強度，並重新定義機率p 為無效傳染率。之後，我建立了新模式「無尺度流行病模式」－SFE-1與SFE-2。模擬六種病原的傳染途徑，結果證實SFE-1與SFE-2模式是正確與確切可用。案例研究結果，顯示傳染強度H可為固定值或為變數；p可以是一固定值、雙固定值或為新增病例的函數。更進一步解析美國AIDS病例在不同族群與行為上的差異，獲知亞裔/太平洋裔與印第安人/阿拉斯加人的H值低於其他族群，其原因可能是由於小的族群具有較高的接觸所致。異性性接觸的H值低於其他，顯示性交易是傳播HIV的主要途徑。SFE-1與SFE-2模式也可被用在流行病的預測上，因為SFE-2使用已知值而非估算值，所以SFE-2模擬結果較佳；但是SFE-1更可以明確提供一個流行病在失控或控制下的預測結果。無尺度流行病模式可以協助所需警戒的程度與政策決定的計畫結果。因此在幫助政府評估社會經濟成本與健康憂慮上是一個有用的工具。所以我提出一個確切可行的對抗無尺度流行病傳染新方法，並詳細說明運作流程。The course of epidemics resembles a scale-free network, but some specific elements should be considered in developing a new model. I introduced a time shifting (replacing t and ti by t?(ti?1) and ti?(ti?1)) and a discontinuous forcing function H(t; ti?1, L+ti?1) into the scale-free network model to fit the specific period and intensity of the infection, and redefined the probability p as an invalid infection rate. Then I proposed the new Scale-Free Epidemic Models, SFE-1 and SFE-2. The simulation results of six types of epidemic transmission showed that the SFE models were accurate and useful. In the case studies, the results showed that H were constant or variable, and p were a fixed constant, a dual constant, or a function of new addition cases in the epidemic periods. The further studies for comparisons of the difference races/ethnics and the difference transmission category of AIDS cases in USA were analyzed. The H value for Asian/Pacific and Indian/Alaska Native race were lower than others, it may be due to small clusters with constant high contact rates. The H value for heterosexual contact was lower than the others, indicating that whoredom was the main transmission for HIV. Both SFE models can be used to predict epidemics, SFE-2 is better than SFE-1 due to SFE-2 using given indices and not conjectured values, but SFE-1 can more clearly suggest results of epidemics when under control or not. SFE models can help the government to determine the level of caution needed and the projected results of policy decisions. They are useful tools in assisting to balance socio-economic and health concerns. I hereby propose a new method to fight against epidemics with detailed procedures of using the SFE models.

本實作以光學全像術為基礎，拍攝出三維立體的影像。內容主要為分別製作「穿透式」全像片、「反射式」全像片及「彩虹」全像片等三部份。其中，在反射式全像片中，嘗試以不同數量的光束來拍攝。發現以單光束法拍攝出的全像片比較容易成功，但重建影像的視角與效果都不如雙光束拍攝法來的好。在拍攝彩虹全像片的過程中我們令狹縫為變因，做有加狹縫與未加狹縫的實驗，實驗發現效果不同。並以改變狹縫的角度、方位，來觀察底片的變化。最後，觀察出豐富多樣的彩虹變化型態。全像片可重建拍攝的物光與參考光，並顯現拍攝物的三維狀態。可應用於信用卡、紙鈔防偽，廠商標籤，附加商品（如鑰匙圈、貼紙），廣告看板等，用途廣泛。 The purpose of this project is to construct the 3-dimensional images utilized optical holography. The holograms we made can be categorized into three main types: transmission, reflection and rainbow. In reflection hologram, we have tried to construct the hologram by the use of different number of light beams. It could be found that the reconstructed image of the hologram formed by a single beam is better than those of the hologram formed by two beams. However, the field of view and image quality of the two-beam hologram was better than those of single-beam hologram. In rainbow hologram, we varied the orientation and position of slit to investigate the quality of the reconstructed images. The reconstructed images displayed rainbow image diversity. In application, the holograms can display three-dimensional images by reconstructing the hologram. In addition, the holograms are in widespread applied in security applications of credit card、banknotes、labels、stickers etc.

由於低廉成本、無毒及其他原因，由二氧化鈦、有機染料及電解液所製造的光敏有機太陽能電池(DSC)被預測即將成為一種大規模廣泛流行的太陽能電池。本實驗比較合成染料(像紅汞和疊氮離子)及成本較低且無毒的天然植物染料用於太陽能電池的效能。有些天然植物染料的效能大於合成染料的效能，像是紫色高麗菜、地瓜……等。在研製太陽能電池的過程中, 本研究利用自製的幾丁質燒結出的奈米顆粒成效極佳，不但粒徑大小符合，在燒結的過程中也不需經過物理研磨及介面活性劑的輔助，並且在低溫下即可燒結，並由BET 和SEM 測得幾丁質燒結的TiO2 的孔隙度大於標準燒結的TiO2 的孔隙度，因此本實驗決定利用去乙醯化之幾丁質扮演太陽能電池的二種角色:介面活性劑及保護劑。在本實驗中，部分的電池效能不盡理想，或許是因為所有的太陽電池樣本均使用相同的電解液(I3-)。要找到每種太陽能電池最適合的電解液則需要更多的研究。Because of the desirable features of low cost, non-toxin, and other reasons a dye-sensitized nanostructured solar cell (DSC) composed of nanocrystalline TiO2, organic dyes and electroiytes is expected to be in prevalent use. This study compared the differences in the functioning of different dyes in the solar cells, specifically those between the synthetic dyes, such as Merchrochronate and Polypyridyl complexes of ruthenium (N3-), and dyes made of natural plants which cost less and are not toxic. Some natural dyes, such as purple cabbage, sweet potato, etc, were found to have better efficiency than the synthetic dyes. The study makes use of self-made chitin to sinter nano particles, and the result is excellent. First, the particle radius meets the size requirements. Second, in the process of sintering nano particles, no physical pulverizing or surfactant assistance was needed. Third, the nano particles can be sintered at a low temperature. Fourth, from BET and SEM measurements, the degree of aperture of TiO2 sintered with chitin is superior to that sintered with Triton X-100. For these reasons, the de-acetylated chitin was chosen to serve as surfactant assistance and protector in the solar cells in this study. The study also found that some solar cells were not efficient enough. Maybe it is because all the samples of solar cells in this study were produced with the same electrolyte (I3-). Further study is needed to figure out the most suitable electrolytes for each solar cell.

創意發想：在學習三角函數的三角測量應用時，由於立體感並非十分容易在平面中呈現，使得解題過程並相當困難。我們希望能透過程式，實際模擬出所看到的樣子，將有利於解決這方面的問題。學習美術者也需要了解一點透視的立體概念，皆可以透過程式來模擬。作品特色：我們的精神主要在於以高中的數學及物理為基礎，來研究其中的方法。除了研究3D 繪圖之基本原理，並著重於如何以程式實作，以達到高繪圖效能。預期效果：1. 讓電腦繪出有立體感(近大遠小)的圖形。2. 可以由不同位置及角度觀察物體。3. 讓立體影像具有光及影的效果。“想像您坐了一部直升機從1 樓向上到達頂端，觀看101 大樓有何不同的景象?!”Motive ：In learning the technique of triangulation, it is hard to show 3D coordinates on 2D graphics so that this kind of math problems is difficult to solve. We hope that we can simulate the 3D surroundings by programming to provide references in dealing the problems. In addition, painting learners also need the simulation to realize the concept of one-point perspective. Feature ：1. We do all the research based on mathematics and physics techniques learned in high school. 2. We not only figure out the method to draw 3D pictures but put some emphasis on how to use programming to run the method. Objective： 1. Let the computer draw 3D pictures, that is, the object looks big when near and small when far. 2. Making it possible to observe the object from different positions and angles. 3. Making the 3D pictures with lighting and shading effect. “Imagine how the sight would change while you are taking a ride on a helicopter from the ground to the top of Taipei 101.”\r