全國中小學科展

2004年

利用電化學合成P型半導體--碘化銅(CuI)光感測器的製作

碘化銅(CuI)為一種P型半導體,在一般文獻中大部分被用做催化劑,合成極為不易。我們利用一簡單電化學合成的方式,可將銅控制在一價銅( Cu?O ),如在有碘離子( I- )的溶液中便形成CuI。在這研究中我們將所合成出之P 型半導體CuI 製成光感測器,在偵測不同光強時有良好的線性關係(r2=0.9961)。在光感測器的實驗中我們利用CuI 電極,讓它接受光照,使其電流產生光電流,如果能儲存其光電流能量,就可成為一太陽能電池,利用其原理,未來可以發展成為替代能源。 CuI is a kind of P type of semiconductor in the general literatures. Most of the CuI is use to catalyst. Except that, CuI is difficult to synthesis. We use a simple way of Electoctrochemistry complex to keep Cu?O under controlling. For example, in the I- solution, Cu becomes CuI. In the study, we make the synthesis P type of semiconductor to be light sensor. In different lightness, the procedure showed good linearity(r2=0.9961) In the light sensor, we use CuI pole to accept sunlight. Then the current will produce light current. If we could store the energy of light current, it will be a solar energy battery. When we apply the theory, it can develop to be substitute energy.\r

正弦桿精確度挑戰與探究

Sine bar is precise measuring angular tool with gage blocks.Basica1 旬, to get height we calculates with H=L×sinOto assemble gage blocks.It is inconvenient to assemble gage blocks and maintain after we measured when wanting to get different dimensions. In out wOItwe have fabricated rap1d positioning sine bar by combining micrometer and sine bar.The purposes ofthis research are producing dimensions accurately and rapidly.Thus,it won't have errors when workp1eces are mached and measured. 正弦桿是測量角度的精密量具,基本上,正弦桿需跟塊規組合使用,再利用H=L Sinθ 算出需組合之高度,在算出需用何種尺寸之塊規需用幾塊,但如果遇到多種不同高度時,則需要更換不同尺寸之塊規,塊規在每次使用時都需清潔乾淨,十分的不方便,在此我們利用測微器,與正弦桿結合,捨去塊規,研製出快速定位正弦桿。此一設計主要包含有原本的正弦桿,一支測微器,結合成新的正弦桿,本正弦桿主要的特性是,在每一種高度算出後,即可利用正弦桿上的測微器直接旋轉到需要之高 度,且轉到需要之高度後可將測微器固定讓測微器不再旋轉,且兩者是一體的,不會出現測量或是加工時,正弦桿移動之現象,使用中也不會去觸摸到測微器之測頭而產生了熱脹冷縮之誤差發生,達到快速定位之需求。

雙孔渦流的奧秘

從直徑數公分的小漩渦,到直徑可達10公尺的巨型海漩;由F1~F5級的龍捲風到輕重度颱風,大自然中有各種渦流。不久之前還有雙眼颱風(杜鵑颱風)經過台灣,颱風出現雙眼時其行進路徑常有不尋常的擺動,行進方向忽而偏北,忽而偏南,擺動的頻率比一般颱風來得頻繁,又其結構紮實,對流旺盛,常造成莫大的災害。研究這個主題主要的目的是嘗試探討此雙渦流運動的起因、其運動方式和可能的控制方法。

Study Biological Deoderization using Bacteria in Rumen of Ostrich

Although it is well known that, unlike the feces of a fowl, those of an ostrich\r do not produce foul smell, the impact of different enterobacteria on elimination of malodorous\r substances has not been seriously investigated. I sought to test the hypothesis that ostrich\r enterobacteria (OE) are useful to eliminate hydrogen sulfide (H2S) and ammonia (NH3), two\r important components of foul smell of the feces.

Energy-Transformation Railway System

There are numerous problems caused by today's railway system. This makes Hong Kong a less attractive place to live in. We have to tackle these problems in order to make Hong Kong a better place. Our model can recycle the energy dissipated in the rail vibration, reuse the sound energy produced by the wheels and the rail by a sound energy conversion system, recycle the wind power in the tunnel by a new type of wind turbine, the Wind Power Generator Underground (WPGU), recycle the thermal energy produced by the air-conditioning system of railway stations by a new system, the Thermal Energy Conversion (TEC). When the rail is bent, the magnets attached to it are also pulled down. When the rail returns to its original position, the magnets attached to it are pulled out of the coils. In both cases, the magnets move against a force. The work done to move the magnets against the force is converted to electrical energy. Also, the bottom of the MTR is designed to be curved. The sound waves produced by the contact point of the wheels and the rail directing towards the bottom of the MTR would be reflected to an elastic material which has a number of magnets attached to it and corresponding number of solenoids are fixed on the ground below the magnets. Sound energy can be converted to electrical energy in this case. When a train approaches or passes through the section that the WPGU is installed, wind is generated. The wind forces the wind turbine to rotate at a certain high speed. The turbine transmits the rotation to the coils in the dynamo, and hence electricity is generated. Heat released from the air-conditioner is absorbed by water. The hot water is then pumped into the system. As the hot water in the pipe flows through the evaporator, liquid ammonia inside will evaporate and flow into the electricity generator. Inside the electricity generator, the gas will push the turbine to rotate and hence electricity is generated. The ammonia gas is then condensed in the condenser and flows back to the evaporator. Hence ammonia is used circularly. In order to explain our principle, we would like to introduce the Lenz's Law, an induced current flows in such a direction as to oppose the movement that started it, the Faraday's Law of electromagnetic induction, the induced electromotive force in a circuit is equal to the rate of change of magnetic flux through that circuit, the Law of Conservation of Energy, energy can neither be created nor destroyed, but can transform from one form to the other.

棋子跳躍問題

This is a study about the solution to a chess flipping game. The game is based on a 4*4 game grid. First, place some chesses on the grid randomly to start a game. Move any chess by jumping over one or two neighboring chesses in the same row (left or right), same column (up or down), or on the same diagonal. Chesses which get jumped over should be flipped. The ultimate aim is to make all the chesses upside down. In this study, I try to find the rules of the beginning arrangement that ensure solution. Here are the steps I take: First, break the restriction of the 4*4 grid, and set the coordinate system. Second, find out a few “basic illustrations” that can be solved and moved in order to cope with certain complicated problems. Third, with “basic illustrations”, find the rules applying to games on n*n grid. 這是關於翻棋遊戲的可行解之探討。棋盤是一個4*4 的方格,遊戲開始時在棋盤上任意擺上一些棋子,均是正面朝上,利用相鄰棋子的水平、垂直、斜向跳躍,棋子被跳躍過一次則翻面一次,遊戲目的在於使所有的棋子都翻為反面。我要探討的是關於棋局可解不可解的問題,找出棋盤上可解棋局的規則。研究步驟大致如下:一、打破棋盤4*4 的限制,將棋盤座標化。二、找出若干個可解並可移動的「基本圖」。三、利用基本圖,找出n 列棋盤可解的規律。

Sub-Explorer

I came up with the idea to build a small submarine after researching the internet and discovering the problems in which divers had to face in dangerous and time consuming tasks. The Remotely Operated Vessel (ROV) was designed to perform hull inspections on boats to look for hull damage and leakage of contaminates such as oil or other chemicals into the water. Search, rescue and recovery, are also common tasks which need to be carried out by the police when searching for objects and items. The ROV has been constructed at a reasonably low cost for submersing in depths down to 10 metres. It is remotely operated therefore needing a tether cable to link up between the computer and the vessel. I built a computer case-top from parts that I already had to eliminate the need for an expensive laptop. A program that I wrote in QBASIC interprets input data from the operator and sends out signals to the various operations on the vessel such as to dive, surface, propel, etc. The entire project consisted of five individual technology processes. Key processes such as Propulsion, Maneuverability, Dive & Surface capability, Imaging system, and the Control system. Each process required a cost effective and practical solution but still needing to function efficiently and be low maintenance. Through continuous testing and trial & error I feel I came up with the best possible solutions with the limited amount of time and money I had to spend. I wouldn’t have got as far as I have without the help and support from friends, family and local businesses. They helped with ideas and advice from time to time, help with funding, and the sponsorship of materials and tools. Now that the ROV is complete, I have been able to trial and test it in a swimming pool. Apart from discovering a few minor leaks in the hull and ‘bugs’ in the computer program, I was able to witness the success of the vessel under operation and find any improvements that could be done to make it work better in future. With further more tests at greater depths the ROV will soon be at the stage where it can perform hull inspections of boats and find lost objects and items underwater. I feel it has the opportunity to be a marketable device to underwater industries all over the world.

渡溪探訪拉都希

本研究自2002 年4 月至2003 年5 月為止,共14 個月,於台北市金面山區\r 南麓溪谷及生態池,以Twitty 去趾法(toe-clipping method)對拉都希氏赤蛙(Rana\r latouchii)進行族群特性和生殖策略之研究。\r 研究期間內共標記了580 隻(包含畸形蛙65 隻),而雌蛙有190 隻(包含雌畸\r 形蛙19 隻),雄蛙有350 隻(包含雄畸形蛙43 隻),無法分辨公母者有30 隻(無畸\r 形蛙),未判定公母者有10 隻(包含畸形蛙3 隻)。\r 在族群特性的部分,拉都希氏赤蛙之雌、雄個體吻肛長、體重及吻眼比皆\r 有顯著性差異(p

數字波的節點探討

數字波是探討在直線上的起始點、位移速度、總數相互變化的節點關係。在直線上,將全部格子數做為總數(m),開始彈跳的點為起始點(i),每次彈跳的格子數為位移速度(s),被踩到的格子就是節點。節點是由位移速度和起始點決定,起始點本身可視為節點之一,之後的節點是由起始點加n 個位移速度產生。我們分別以三種型式討論:起始點等於位移速度,總數增加:使起始點和位移速度所代表的數字相同的彈跳。節點呈2、s、s+2…起始點固定,位移速度與總數增加:觀察位移速度和總數的關係。兩節點的和=s+2位移速度固定,起始點與總數增加:探討起始點和總數的關係。發現節點隨起始點有規律的變化在上述討論的型式中,我們再進一步將位移速度分為質數和合數,進而依其因數變化,可觀測到很多特殊的節點變化。The number wave is to discuss the relationship of the starting point, the moving speed, and the variations of total amount. In straight lines, let all the trellises be total amount (m), and let the starting jumping point be the starting point (i). The trellis number of each jump is the moving speed(s). The trodden trellises are knots. And knots are decided by the moving speed and the starting point. The starting point itself can be viewed as a knot. The following knots produce with the starting point and n moving speeds. We respectively discuss them in three types: When the starting point equals the moving speed, the total amount increases. The number of the starting point is the same with the jumping moving point; the knots are 2, s, s+2…. When the starting point is fixed, the moving speed and the total number increase. From observing the relationship between the moving speed and the total number, the sum of two knots is s+2. When the moving speed is fixed, the starting point and the total number increase. After our research into the relationship between the starting point and the total amount, we find the knots have regular variations with the starting point. From the types discussed above, we further divide the moving speed into prime numbers and non-prime numbers. Furthermore, according to the factor variations, we can see a lot of specific knot variations.

座標平面上任三點與X 軸之最短距離和

我們的題目是”座標平面上任意三點與x軸的最短距離和”。我們一開始直接由尺規作圖著手,把距離和最小時的那點設為p,但始終無法找到一個方法精確畫到p點。後來變轉入公式的研究,我們設第一象限中A B 和C三點,固定A B C的y座標為d,並討論不同d時的情況,求出B點的範圍。另外我們也從橢圓方面著手,但此部份目前還待努力。;A B and C are three points in the plane, and L is a line in the same plane. Our target is to find a point P in L make the sum of PA+PB+PC minimum. At first we undertake by drawing pictures but we can’t find the solution we want in any case. We make L to be X-axis make A B C’s Y-coordinate to be d, and then we discuss various situations of d, and figure out the range of B. We also analyze the situation in oval, but still have no conclusion.