掃描式穿隧顯微鏡(Scanning Tunneling Microscope)，是在奈米尺度下觀察物體表面的一大利器。但一台精密的STM，造價動輒數百萬元新台幣，本研究嘗試利用簡單、便宜的材料，製作一台簡易的掃描式穿隧顯微鏡。眾所皆知：掃描式穿隧顯微鏡的關鍵，就是量子力學中的穿隧效應原理，及壓電材料的應用，所以這些主題都是本實驗涉及的內容。除此之外，我們也運用簡單的物理原理，取代價格高昂的儀器，例如：利用彈簧代替昂貴的避震系統等。此研究利用穿隧效應的原理，並進而利用電腦得知樣品表面的結構，以達顯微鏡觀察分析物體之功用。 ;The major purpose of our project is to assemble a simple scanning tunneling microscopy with cheap and available materials for ordinary senior high school students. For example, we use springs for damping instead of electromotive force device. Weweld all the electronic circuit boards for ourselves in order to not only lower the cost but also inspect the inner structure more clearly and precisely. After the microscopy is assembled, we will use it as an appliance to observe the samples of nano-particles. We must repeat this procedure several times so as to make sure that the images we’ve gained is true, not just some disturbances produced by the environment. Finally, the microscopy can be applied to research fields as well as academic courses.

運用自製低頻噪音( The relations between vehicle average speed with low frequency engine exhaust noise(

本研究以b04課程中的巴斯卡三角形為研究對象，將原先巴斯卡以「1」為首、「+」為運算符號的規律三角形，改為以「-1」及「ω 」為首、「×」為運算符號，分別就其產生的新三角形作探討，發現其中似乎隱藏著原先三角形所沒有的規律性。為了更瞭解這種規律，藉由電腦軟體繪出其圖形，圖形顯示出如碎形般的複製關係，不論放大或縮小，其中的遞迴關係並未改變，頗令人好奇，因此著手研究。研究過程中對於圖形的規律性採用先臆測、接著歸納、最後給予證明的方式呈現。得到以下的結論：一、分別以數列呈現新三角形圖形的規律性。二、分別將新三角形中每一列中的某數字（如-1、ω 或ω 2 ）的個數予以通式表之。三、分別推算出新三角形第n 列第j 行的數是「1」或「?1」及「1」或「ω 」或「ω 2 」。四、相同的模式，在特定的圖形範圍中，不斷重複出現。許多研究將巴斯卡三角形中的所有數，以某數為模的餘數紀錄下，去探討其餘數在新產生的巴斯卡三角形中的分布情形；而在碎形的研究中，大部份著重如何畫出碎形。本研究著重圖形其規律性的探討，提供上述研究不同角度的詮釋與探討。 This research subject is based on Pascal’ s triangle in senior high school curriculum. The regular triangle begins with「1」and use「+」as operation. Let 「1」 be replaced with「-1」and「ω 」, the operation sign「+」be changed into「×」. I do research on the new triangle and discover the seemingly hidden regularity which doesn’t exist in the original one. To understand more about this regularity, I draw figures through the computer. The figures show the relationship of reproduction as fractal. Whether the figure is enlarged or minimized, it’s surprising curious the recursive relationship doesn’t change, so we begin to work on research. In the process of the research, we make careful observations, assumptions and deductions about the regularity of the figure. Finally, we come to some conclusions by means of giving proofs:（1）Present the regularity of the new triangle figure with progression.（2） Present such numbers as「-1」, 「ω 」, 「ω 2 」 in each row of the new triangle with formulas separately. （3）Figure out the number in the row n and in the column j of the new triangle is「1」or「-1」,and「1」or「ω 」or「ω 2 」. （4）The same model appears again and again in the specific range of figure. Many researches record Pascal’s triangle modulo certain number to explore the distribution of remainders in the new triangle. In the research of fractal, how to draw fractal is mostly focused on. The exploration of this research emphasizes the regularity of figure, offering the interpretation and exploration of researches above from different angles.

Astrocytes provide energy to neuron mainly with lactate, which is transported through monocarboxylate transporters (MCTs). Among 14 isoforms of MCTs reported in mammals, only MCT1, 2 and 4 are expressed in brain and the three isoforms are found to differentially expressed in neuron and astrocyte, respectively. Based on these, “astrocyte-neuron lactate shuttle” has been proposed. However, no in vivo evidence was available so far to support this hypothesis. In the present study, zebrafish was used as a model to provide in vivo molecular physiological evidence for the involvements of MCTs in the development and functioning of central nervous system (CNS). Full-length cDNAs of the zebrafish MCT1-4 were cloned from zebrafish. Based on RT-PCR results, zMCT1 and zGLUT4 expressed in brain were chosen for further experiment. Morpholino knockdown experiments provided for the 1st time the in vivo evidence to indicate that the zMCT1 and zMCT4 may be involved in energy translocation and functioning of the developing CNS. 於前人預備實驗中，發現斑馬魚胚胎時期肝醣訊號會於腦部與中樞神經系統區位出現。因此，醣類的分布與在細胞間的傳遞應可視為腦部發育的重要指標。我們以基因體資料庫為工具，研究斑馬魚腦部相關基因異構型分布。目前，我們選殖到數個葡萄糖運輸 (GLUT)、鈉離子/葡萄糖協同運輸(SGLT)與單羧基運輸(MCT)通道在斑馬魚腦部表現，其表現是否與胚胎初期中樞神經系統的發育相關仍未知。經過初步基因分析後，我們決定以MCT 中第一和四異構型作為研究對象，並用Anti-Hu，與PCNA 做神經觀測，將施打反股寡核?酸進行突變操作的斑馬魚，與對照組進行免疫染色分析，以螢光顯微鏡觀察發現：抑制MCT 表現，確實影響胚胎時期中樞神經細胞發育及鰓部細胞分裂；亦可能造成畸形出現。

本研究從理想城鎮(Ideal City)街道開始，討論平面上相異n 點到某一點的最短距離和。經研究後發現：當n 為偶數時，則到相異n 點的最短距離和所形成的區域可能是一個點、一個線段或是一個矩形；當n 為奇數時，則相異n 點的最短距離和所形成的區域將會退化成一個點。此外，本研究將理想城鎮的街道換成正三角形的街道幾何平面，同樣是討論平面上相異n 點到某一點的最短距離和。經研究後發現：當n 為偶數時，則相異n 點的最短距離和所形成的區域可能為一個點、一個線段、一個四邊形、一個五邊形及一個六邊形；當n 為奇數時，相異n 點的最短距離和所形成的區域則可能為點、三角形的情況。假使考量各點重要性的比重，分別加權後再求最小點。研究發現無論在理想城鎮或正三角形幾何平面上，皆可將各點視為多個權數相同之點重疊於此點上，便可利用先前的方式求得最小點區域。透過這次的研究，可以利用n 個相異點到某一點的最短距離和實際應用在貨物運送的問題或是消防設施配置等問題。The present study was intended to start with the Ideal City and proceed to discuss the sum of the shortest distance between a point and n different points on a plane. After the discussion, it was found that if n is even, the formed region could be a point, a line segment, or a rectangle. If n is odd, then the formed region must be a mere point. Further, the current study transformed the Ideal City into the geometric plane of an equilateral triangle. Similar to the previous discussion, if n is even, the formed region could be a point, a line segment, a quadrangle, a pentagon, or a hexagon. On the other hand, if n is odd, then the formed region could be a point, or a triangle. The result of this study, which investigated the sum of the shortest distance of a certain point to n different points can be applied to the real life situation, such as transporting goods or distributing fire control facilities.

"Nitrates and phosphates cause eutrophication when present in high concentrations.\r This project aims to employ macrophytes to reduce such macronutrients in water bodies via growth and kinetic studies, which is a unique fusion of methodologies. It also involves a novel design and analysis of several enclosure prototypes to introduce macrophytes into waterways and their effects on the waterway’s ability to convey storm water rapidly away from flood-prone areas.\r Tropical macrophytes (emergent macrophytes Typha angustifolia and Cyperus haspan, submerged macrophytes Hydrilla verticillata and Cabomba aquatica, floating macrophytes Lemna minor) were grown in simulated wastewater with high nitrate and phosphate concentrations. Analysis of the growth and uptake kinetics of the macrophytes showed a correlation between high growth rate and high nitrates and phosphates uptake. C. aquatica had the highest uptake rate for nitrates and phosphates as well as the highest growth rate of 6.11 ± 1.2 % day-1 . The remaining macrophytes were proven to exhibit good phytoremediative properties, with emergent macrophytes C. haspan and T. angustifolia having great affinity (as indicated by a low Km value) for phosphate and nitrate respectively. An analysis of the phytoremediative abilities of each macrophyte was done to provide recommendations for growth in different aquatic areas.\r A total of eight nettings, made from different materials-linen and plastic, and pore sizes were used to design the enclosure prototypes. These enclosures possess a metal skeletal structure for greater stability. Results show that a combination of 2 different nettings provided the best trade-off between ensuring that the macrophytes were contained within the enclosures and minimising the enclosure’s impact on the flow velocity of the waterways. Enclosures could then be attached to existing infrastructure like the float booms as a platform for large scale phytoremediation locally."

Our research started from June, 2003 to May, 2004. During these twelve months, we collected and discussed the basic ecology material of malformed “ Rana latouchii ”, which we call it frog in the following paragraphs . Thanks for the favorable geographical position, we collected the first-hand data in the area of Jin-Mian Mountain foothill gully situated in Taipei. Our investtigation project includes：the percentage of the malformed frogs in a whole race, the geographical distribution of dominant-abnormal frogs, the sexual distribution of dominant-abnormal forgs, and the possible roots for the generation of malformed frogs. We have altogether carried seventy-six times field investigations. In those investigations, we focused our research on the randomly-sampled 580 Rana latouchii. In these 580 sample, there are 190 female, 350 male, and 40 adolescent. We discovered seventy-six malformed frogs, constituteed by 21 female, 53 male and 2 adolescent. In another words, the occurance of malformed frog in a race is around 13.1. %. In our observation, we can classify dominant-abnormal frogs, “Rana latouchii”, into eight species. Here are the species: 1. the entire body is obviously malformed, 2. with only one eye, 3. in lack of appendage apod, 4. in lack of arms,5. in lack of palms, 6. with excess webbed toes, 7. the maltfromed of appendiculars, 8. the lack of toes on the palms. Within these 8 species, the last species has the highest occurance, 66.38% in aproximation. If we look at the classfication by sex, the ratio of female to male is around 1 to 2.52(1:2.52). However, the possibility of being maleformed is regarded as the same for female and male frogs in the same group. In statistical term, our research shows that the chi-square is 1.742 while our degree of freedom is 1 and confidence level is 95% (X2=1.742，df=1，p>0.05). During the research, we also observe that each malformed species affect different living activities of malformed frogs. In the worst situation, the malformed nature can result in shorter life. In our sampling area, malformed frogs mostly reside in high concealment and high humidity location. In our research data, within these area, our re-captured rate for malformed frogs is 25% and hirudin-parastical rate is 4.31%. As our research shows, the occurance of malformed “Rana latouchii” in our selected area results from 3 main causes： First, the parasitism of leeches or parasitic worm；Second, the agriculturally chemical contaminants；Third , the injured causes from escape from predator. 本研究自2003年6 月至2004年5月為止，共12個月的期間，於臺北市內湖區金面山南麓溪谷，對拉都希氏蛙(Rana latouchii)族群之畸形蛙個體進行基本生態資料的蒐集與探討，調查項目包括：族群中畸形蛙發生的比例、畸形蛙外部形質異常分佈的情形、族群中雌蛙與雄蛙發生外部形質異常之情況及可能造成畸形蛙產生的原因。 研究期間共進行了76次的野外調查，總紀錄了拉都希氏蛙580隻，雌蛙有190隻，雄蛙有350隻，幼蛙有40隻；畸形蛙個體共紀錄有76隻，雌性畸形蛙有21隻，雄性畸形蛙有53隻，幼體畸形蛙有2隻。族群中畸形蛙發生率約為：13.10％，外部形質異常的畸形拉都希氏蛙總計有八大類，包括：1.整隻個體形質畸形，2.單眼個體，3.附肢缺少，4.附肢缺臂，5.附肢缺掌，6.腳掌多趾，7.附肢腳掌畸形，8.附肢腳掌缺趾，其中以附肢腳掌缺趾類的66.38％發生率最高。畸形蛙中雌雄比約為1：2.52，族群中雌蛙與雄蛙發生畸形的比例並無顯著的差異（X2=1.742，df=1，p>0.05）。 不同部位形質畸形的發生，將會影響畸形蛙的個體活動，甚至可能降低畸形蛙的存活機率。研究調查樣區中，畸形蛙較常活動於濕度高且隱蔽度大的分樣區中，畸形蛙的重複捕捉率為25％，被水蛭寄生的比例則約是4.31％。 由調查研究結果顯示，造成內湖金面山區南麓溪谷拉都希氏蛙畸形蛙發生的主要原因，推測可能有下列幾種：(1)水蛭或是吸蟲類的寄生；(2)農作過程中的化學污染物；(3)逃脫掠食者捕食過程受傷。

高血壓所誘發的機械性展延是造成心肌肥大的基本因子，本實驗即藉由微陣列基因分析法同時大量的分析機械性展延所造成心肌細胞的基因表現。將新生鼠的心肌細胞施以 20﹪的機械性展延，抽取其 mRNA製作成 cDNA 探針與現成的 cDNA 晶片進行雜漬反應 （此晶片上包含了 480個如訊息傳遞、控制細胞生長週期、細胞骨架等的已知基因），在眾多有因為機械性展延而造成基因表現差異的基因中，我們選擇了 eNOS 基因（內皮細胞 NO合成?）進行西方墨點法及 NOS活性和 NO 產生量測定的實驗，進一步證實 eNOS 的基因表現量的確是增加的，此一結果與微陣列基因分析所得之結果不謀而合。 Mechanical stretch induced by high blood pressure is an initial factor laeding to cardiac\r hypertrophy. The use of cDNA microarrays has made it possible to simultaneously analyze\r stretch-induced gene expression in cardiomyocytes. Neonatal rat cardiomyocytes were cultured on\r malleable silicone dishes and were stretched by 20%. We compared the transcript profiles of\r cardiomyocytes under mechanical stretch for 60 minutes by hybridization of cell-derived cDNA to\r DNA probes immobilized on microarrays. The microarrays contained probes for 480 known genes\r including signal transduction, cell cycle regulators, cytoskeleton and cell motility, and so on. Eighteen\r genes were indentified that showed significantly differential expression in response to mechanical\r stretch in cardiomyocytes. Of the represented genes expressed, endothelial nitric oxide synthase (eNOS)\r genes was the most interesting one. Northern blot and western blot analysis further quantified the\r expression of eNOS gene. Mechanical stretch also increased constitutive NOS activity and NO\r production. Our results indicate that mechanical stretch induces eNOS gene expression thus increases\r constitutive NOS activity and NO production in cardiomyocytes.

Purpose of Project: To save energy and to help the underprivileged with a cooler that uses no electricity to make their lives better. Procedure/method followed: STEP 1: Collected 28, used, 2 litre plastic bottles. STEP 2: Chose the window with the best wind flow. Measured the size of the window and the room chosen. STEP 3: A sturdy thick polystyrene board was cut to the size of the window. Holes were drilled to the rim size of the bottles spacing them according to the body size of the bottles. STEP 4: Bottles were cut in half. STEP 5: The bottle necks were slid through the holes with the necks open to the inside of the room and the bodies open to the outside. STEP 6: Fixed a thermometer in the room and measured the temperature and recorded it. STEP 7: Fixed the Powerless Shack Cooler with the necks of the bottles open to the inside and the bodies open to the outside of the room. STEP 8: The temperature variation was checked and recorded every 30 minutes for 3 hours. STEP 9: Another room of the same size and window was also chosen. Fixed a thermometer and temperature variation was checked and recorded every 30 minutes for 3 hours. This served as the control of the experiment. Data/results: The room temperature decreased over time inside the room where the Powerless Shack Cooler was installed onto the window. But the control room maintained the initial room temperature although slight fluctuations in the room temperature were observed over time. Conclusion: The hypothesis was supported. As the air molecules moved through the bottles, it bounced off each other, and off the walls of the container, holding the air. A small volume of air passed at a high velocity. When the molecules moved faster the collision became more often. These collisions and the push increased air pressure. When the container’s space was getting smaller, the molecules picked up speed and the temperature went up. When the air was released out into the room, the volume suddenly expanded. The intermolecular spaces became larger; so less agitation and vibration of molecules took place. The molecules moved slowly. The room temperature reduced. Air inside the room became cooler. During the adiabatic expansion, air molecules used heat energy from the room and converted it into kinetic energy for faster movement.

When you draw a wet finger around the edge of a half filled wine glass, a sweet musical sound comes forth. The pitch of this sound is directly correlated to the amount of liquid in the glass- the higher the height of the liquid is, the lower the frequency is. It means that the shorter the air column in the glass is, the lower the frequency is. This phenomenon differs from the variance in pitch in a wind instrument. In a wind instrument such as a flute, the shorter the air column in its chamber is, the higher the resulting pitches are. In order to study the wine glass phenomenon, we used a piezoelectric crystal loudspeaker connected to an oscilloscope. We recorded the resulting data by using a digital video recorder to capture the images of the waveform of sound, and than analyzed the waveform by using the computer. Our conclusions are as follows: 1. The frequency of sound thus produced was the same whether we draw our finger around the rim, or we strike the glass rim. The higher the height of the liquid is, the lower the frequency is. But the frequencies vary when we strike the glass and when we blow on the edge. 2. When we used a glass without liquid in it, the frequency emitted when we drew our finger around the edge, this frequency varied inversely as the cube root of their weights. 3. In a glass with liquid, the emitted frequency did not have any correlation to the weight of the contents. By taking two identically filled glasses and placing in each a solid object of the same size but different weight, we were able to see that there was no change in the frequency emitted between the two glasses as long as the height of the liquid remained constant. 4. According to “The Flying Circus of Physics”, if we tap the side of a glass of beer, because of the air bubbles in the beer, the frequency emitted will be lower than that from a glass of pure water. This is according to the book, because the speed of sound is lower in air than in water, therefore the speed of sound in an air-water mixture would be lower than in pure water. The resonant frequencies of the mixture will also be lower. However, in our experiment, we discovered that\r when the glass contained air bubbles, the frequency emitted higher. Our explanation is that the sound emitted since the rim of the glass oscillated transversely, the frequency depends only on the retard of the rim and that the frequency is independent of the speed of sound. The intention of this research is to clarify the many misconceptions of this interesting phenomenon.以溼的手指在玻璃酒杯邊緣摩擦，會有悅耳的聲音，而且頻率會隨著內裝液體減少（空氣柱變長）而變高，這種變化與管樂器隨空氣柱的變長而音調變低不同，為了研究它的原因，我們利用壓電晶片喇叭連接到示波器上，並且利用數位錄影機錄下示波器上的訊號，再以電腦分析出瞬間的頻率，結果發現：一、摩玻璃杯與敲玻璃杯，杯所發出之頻率相同，都是所裝液體愈多發出之頻率愈低。但敲玻璃管與吹玻璃管所發出之頻率不同。二、不裝液體之高腳杯，摩擦時所發出之頻率與重量之立方根成反比。（與鐘相同）\r 三、裝液體之高腳杯發出之頻率，不再與總重量有關，而是與液體之高度有關，保持液體高度不變，即使在杯子中央加入不同重量之固體，杯子振動頻率還是不變。若改裝不同密度之液體，則密度愈大頻率愈低。四、在“The Flying Circus of Physics”書中提到輕敲裝有啤酒之杯時，會因杯中含有氣泡而聽到較低之音調，書中解釋是”空氣中之音速低於水中之音速，混有空氣之水中音速變低，其共振頻率也會降低。”但我們的實驗結果是有氣泡時頻率反而高。我們的解釋是杯子所發出之聲音是由於杯面之振動也就是杯壁的橫向振盪，振盪頻率與液體對杯壁之阻尼有關，但與液中聲速無關，密度愈大之液體阻尼愈大。有氣泡時接觸杯壁之液體變少，阻尼較少所以頻率高。希望本研究能使大多數人對這有趣之現象不再有誤解。

三軸向六自由度動感平台（六軸平台）或稱史都華平台，最常見的用途是做為訓練用途的飛行模擬器或是娛樂用途的動感電影院。然而較鮮為人知的也被用於模擬地震來作為防震研究。六軸平台利用六支線性致動器的伸縮來控制平台姿態與加速度以製造出地震模擬波動來模擬地震。地震研究和人類生活最直接關係的就是房子的耐震研究。耐震取決於建築結構形狀及所使用之材料；結構決定了整個房子吸收或消除震盪能量的方式。本專題即是利用平台模擬集集地震和阪神地震來測試各種材料相同但結構不同之建築結構拓樸，以控制變因法來分析討論各種結構拓樸的耐震能力，把結構所能承受的最大相對振幅為數據做分析。本專題之部份研究亦參與2004年國家地震研究中心所舉辦之抗震盃競賽。 Three Axis Six Degree Of Freedom Motion Platforms, also named the Stewart Platform, are usually used for flight simulator in training purpose or for motion- theater in entertainment. Yet, the use of motion platform in earthquake simulation is rarely known in public. The motion platform uses 6 linear actuators to control position and acceleration to simulate earthquake. The direct connection between human life and earthquake research is to study quake-resistance of buildings. The quake-resistance depends on the structure and the material of the buildings. The structure decides how the building absorbs and/or eliminates the shaking energy. This project studies how different structure topologies stand in the simulated earthquake generated by a motion platform. Controlling factors method is utilized to discuss the quake-resistance of different structures. Data of the maximal resisted acceleration are also analyzed. A part of this research also participates in “IDEERS” contest held by the National Center for Research on Earthquake Engineering (NCREE).

We report an investigation on the synthesis, characterization, and application of photonic crystal. In the study of the synthesis of SiO? nanoparticles for the building blocks of photonic crystal, it is found that by changing the concentration of NH3 solution, we are able to control the size of SiO? nanoparticles. After trying several different methods, we discover that the vertical substrate method is the best way to arrange nanoparticles into a periodic structure. From scanning electron microscope, we confirm that SiO? nanoparticles can form a three dimensional hexagonal photonic crystal. From transmission experiment, we find that the wavelength of the minimum transmission is proportional to the size of nanoparticles. This result implies that using photonic crystals we can control the behavior of electromagnetic wave. Finally, we fabricate CdS nanoparticles on the top of photonic crystals with different diameter of SiO? nanoparticles. Using photoluminescence measurements, we show that by controlling the lattice constant of a photonic crystal the luminescent efficiency of CdS nanoparticles can be substantially enhanced. Out results, therefore demonstrate that photonic crystals are very important for the application of light emitting devices. 本研究主要是著重於探討光子晶體合成、特性分析及其應用。在有關合成光子晶體之奈米二氧化矽顆粒方面， 發現在合成過程中利用氨水的溶量可以控制顆粒的大小。在將奈米顆粒排列成光子晶體的研究中， 嘗試了多種方法後， 發現垂直基座法為最快速有效的方法。從掃瞄電子顯微鏡的觀測， 證實奈米顆粒是以六角對稱排列成整齊的光子晶體。在光子晶體的特性分析中， 利用光穿透實驗， 發現電磁波穿透率最小的波長與奈米顆粒成正比關係， 這顯示出可以利用光子晶體來控制光的行為。最後，本研究將光子晶體與硫化鎘奈米顆粒結合，經由光激螢光譜， 證明光子晶體確實可以增進物體之發光效率,這對發光元件的應用， 將有很大的幫助， 可以節省大量的能源