全國中小學科展

臺灣

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.

竹嵌紋病毒及其衛星核酸5'端非轉譯區與複製競爭關係之探討

RNA 病毒在複製過程中容易產生錯誤,導致其族群具中有很大的遺傳歧異度,累積的錯誤再加上選汰的壓力造成往後之變異。由於RNA 基因體之病毒變異較大,使得RNA 病毒在單一寄主上具有quasispecies 的特性,提供病毒產生新基因體的機會以適應環境或演化成新病毒。例如流行性感冒病毒與之前造成恐慌的嚴重急性呼吸道症候群病毒(severe acute respiratorysyndrome,SARS)以及禽流感病毒 (avain influenza virus) 皆為RNA 病毒,意味著RNA 病毒知不穩定性,並容易造成一些目前我們無法及時反應的危害。大部分的植物病毒又為RNA 病毒,本研究將以竹嵌紋病毒 ( Bamboo mosaic virus , BaMV )及其衛星核酸 (satellite RNA, satBaMV)為材料,進一步探討核?酸序列之變異對其族群在複製競爭上的影響。

跛腳皇后

高斯曾經提出八皇后問題:八個皇后在8 × 8 的棋盤上有幾種放法可以使任意兩皇后不會互相攻擊?我們在原來的問題上加上一些條件,改變皇后攻擊規則,使得皇后失去一條對角線的攻擊方向,稱之為「跛腳皇后」。我們稱一個在棋盤上放置最多跛腳皇后使其不互相攻擊的放法為好放法;研究跛腳皇后放置在各類棋盤上其好放法的個數和性質。我們分別在六種棋盤上做討論:(1) 在平面n x n 棋盤上,我們證明了其好放法與完美極致史考倫型數列之間的對應關係,並歸納出相關的性質和定理。(2) 在平面m x n 棋盤上,我們固定一邊長度n,做出n 較小時好放法數的通式;我們也將其好放法對應至廣義史考倫。(3) 在環面n x n 棋盤上,我們說明了其好放法與完全剩餘系排列之間的對應關係,並歸納出相關的性質和定理。(4) 在環面m x n 棋盤上,我們固定gcd(m,n),做出gcd(m,n)較小時好放法數的通式。(5) 在柱面n x n 棋盤上,我們證明其與環面n x n 棋盤等價,說明其好放法具有和環面n x n 棋盤好放法相同的性質和定理。(6) 在柱面m x n 棋盤上,分成左右柱面以及上下柱面來做討論。我們歸納出相關性質和定理;並固定一邊長度n,做出n 較小時好放法數的通式。Gauss had researched about putting eight queens on the chessboard on the way that doesn’t make any queen attacks another one. Thus, we added some rules on the question: the queen loses one diagonal attacking-way and become the “lame queen”. We call a way that doesn’t make any lame queen attacks another one “a good way”. We have been investigating the amount and properties of good ways based on six kinds of chessboard: (1)We found the correspondences between the “good way” on n × n plane chessboard and the Perfect extremal Skolem-type sequence, and concluded some associated properties and theorems. (2) On m× n plane chessboard, we fixed the length n of one side of the chessboard, and accomplished the amount of good ways when n is small. We also correspond the good way to the Generalized Skolem.(3)We found the correspondences between the “good way” on n × n torus chessboard and the arrayal of complete residue system, and concluded some associated properties and theorems.(4)On m× n torus chessboard, we fixed the gcd(m,n) (greatest common divisor of m and n), and accomplished the amount of good ways when gcd(m,n) is small.(5)On n × n cylinder chessboard, we proved that this kind of chessboard is equal to torus chessboard. So the good ways, characters, and theorems on cylinder chessboard are the same as on the torus one.(6)On m× n cylinder chessboard, we separate it into two cases: left-right cylinder chessboard and up-down cylinder chessboard. We concluded some associated properties and theorems, and we also fixed the length n of one side of the chessboard and accomplished the amount of\r the good ways when n is small.

導電高分子發光二極體製作及性能研究

高分子發光二極體乃是利用電子和電洞在發光工作層結合而形成激子,激子在形成後隨即以光的形式衰退,而發出光來。一般而言,高分子發光二極體是一種三明治的形式,電子注入層/發光工作層(高分子)/電動注入層,而通常我們會選擇加入電子傳遞層和電動傳遞層,來增加其發光效果。本研究係針對聚苯胺做為電洞傳遞層對發光二極體之影響,分別對有電洞傳遞曾和無電洞傳遞層之發光二極體作導電度測量、循環伏安法、電位-電流測量、亮度-電位測量。發光二極體中所須之高分子層,須利用旋轉塗佈機,將其均勻的披覆在載體上,由於本校並無此儀器,所以將離心機改造成簡易旋轉塗佈機,並觀察其披附之效果。另外,在封裝元件時,係因學校缺乏真空蒸鍍的儀器,所以將利用電鍍法把鋅鍍在ITO玻璃上,或將鋁片和ITO玻璃緊靠在一起,針對此二替代方法,本研究將探討其所製出原件成效。Polymer light emitting diode (PLED) utilizes the energy gap between the layer of electron and electric hole that emits the light due to the decay of solitron. PLED is always in the sandwich from, that means the conducting polymer is contained between metal as an cathode and indium tin oxide as an anode. It is used the addition of another electric transfer layer and electric hole transfer layer to improve the lighting efficiency of PLED. The purposes of this study are to discuss the effect of polyaniline as the electric hole transfer layer. The study methods are conductivity measure, the cyclic voltametry, the luminance-voltage curve. The simplified spin coating machine was designed to coat the polymer onto the ITO. The zinc was electroplated onto the graphite as an cathode.

門神保全機器人(Door Angle Robot)

The larceny is always annoys our family and our society. They usually steal on the day when people working in the office or studding in the school. They always wait for people leave the house, and try the bell until them confirm the owner of the house leaved and nobody at home. Then they will open the door or break the lock of door. So we can find that if any body home or the lock is very hoard to open or to break. Then the thief is always choice to give up. That prove if we con let the thief think the house is some body home. Then it can to avoid larceny. This project is about how to design a system which is used AI technology to be a robot that is like a human. That robot can talk to the thief and can be a special lock when the thieves try to break the lock of door. The goal of this project is to design a robot that will be a door angel. It will let thief thinks that is some people always in the house. So they can not to steal in this house. We use the AI speech recognition & house environment control I/O system to be a robot which is setup in the door. It is like an angel to protect our home and family. And can stop the larceny. 「住宅竊盜犯罪」一直持續困擾著人類社會,住宅竊案最常發生於大白天,小偷常趁著家中成員上班、上學等時機,稍加觀察,再加以測試(按門鈴) ,確定家中無人,下手破壞鎖具侵入搜括;小偷只要遇到非常難開的鎖或認為有人在家就不會進一步的行竊。所以這證明只要讓小偷認為家裡有人,就能防止竊案的發生,而我們的研究目的就是如何在小偷還在徘徊尋找目標時,就要讓他感到這一家不能偷,如何讓他感覺家裡有人,進而打消入侵行竊的意念。我們希望能設計一套系統,利用AI人工智慧語音辨識及家庭環境控制,來建立一個充滿智慧的門神機器人,來事先嚇阻小偷的行動,就像門神一樣,可以預防竊案的發生,並整合大門門鎖內鎖與家電,形成智慧型的門神機器人,來保佑我們的家庭,也讓竊盜率降低,作為竊盜犯罪防治的利器。

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

利用奈米色料製作彩色蠶繭之研究

由於奈米科技進步,奈米材料應用在產業上具有多功能的性質。本研究使用不同波美度的色料餵食家蠶,以找出最佳的彩色蠶繭色澤,並研究其如何影響家蠶所結出的蠶繭及色料附著在蠶繭上的絲。同時對色料附著的蠶繭進行水洗、光照、微結構的觀察,以試圖找出色料與波美度之最佳組合參數。由本實驗結果得知,利用奈米色料溶液60 ml,在紅色:1.048、藍:1.058、黃:1.039 的參數下,混合飼料30g,可獲得最佳的彩色蠶繭結繭成功率、均勻度較佳、耐褪色與耐洗滌等優點,並且可獲得表面結構光滑且較細的絲徑,約為19.87μm。相對的,一般色料粒徑為微米級,色彩度優於奈米色料,但表面結構較奈米色料粗糙且線徑較粗,約為21.51μm,易於褪色及不耐洗滌。 Because of the great progress of nano-technology, it has the quality of multi-functions to make use of nano-materials on industrial property. The purpose of this study is to find the best colored silkworm cocoons by mixing different consistency of pigments to feed silkworms. At the same time, this study wished to explore how the different consistency of pigments influenced the silkworm cocoons that the silkworms produced. Besides, in order to find the better association between pigments and Baume degrees, this study exposed the cocoons under different lights, washed with different detergents and take observations of micro-structure of the cocoons. The results of this study are as follows: using the nano-pigments 60 ml in different density, that is, red:1.048, blue:1.058, and yellow:1.039, then mixed them with silkworms’ forage 30g , in this way, best successful ratio to get colored cocoons, desired high visual effects in color, well distribution, long duration and strong resistance to detergents agents are obtained. In addition, we can still get glossy appearance and fine cocoons; the wire diameter is about the size of 19.87μm. On contrast, feeding with the ordinary pigments, the degree of colored silk is better than feeding with the nano-pigments, but the appearance of cocoons are rough and the wire diameter is about the size of 21.51μm.

節能省碳反射─反射式紅外光液晶智能窗之研發

步步為營

Two soldiers walk on a checkerboard. They can only walk one step once a time and two directions, front and left, are decided randomly. The gunshot is the column and row where a soldier is located, and one will die if he enters the gunshot area of the other. To treat the probability of winning, we first study the cases of 1×n, 2×n, 3×n, and 4×n rectangles iterately. Then we establish a general form of the probability of winning in a general n×k rectangle by using recurrence technique and generating function, respectively. Finally, we extend to the general n×m×k cuboid case to obtain the first soldier’s probability of winning.在一個長方形的棋盤中,兩士兵行走,每一次只走一步,而且上和左兩個方向是隨機的,射程範圍是所在的此行和此列,而進入他人射程範圍則死亡。探討其獲勝機率,從1×n 、2×n、3×n、4×n 矩形的情形逐步研究,並分別運用遞迴式的技巧及生成函數,導出 n×k 矩形中先走士兵獲勝機率的一般式。更進一步地,我們也獲得了n×m×k 立體空間先走士兵的獲勝機率。

巨型小翼效應—未來長程客機經濟省油妙方

本研究主要是探討翼端小翼對飛機飛行的影響,翼端小翼在現在不少的飛機上都有這種設計,假設小翼可以阻止飛機機翼末端的氣流上旋,進而增加升力與推力,讓飛機能提高飛行時的效率,為了驗證這個假設,因此製作了簡易風洞對小翼的升力與阻力進行定性和定量的探討。升力與阻力的定性定量探討是經由10 組主機翼與五個小翼組合,共有2000 次的測試記錄,再轉化成折線圖予以比較研究,而得到一個穩定性數值結果。這測試實驗的數值結果顯示:小翼可以增加升力,但是也會增加阻力,為了降低阻力,小翼的剖面最好是有弧度。The purpose of this research is to find out the effect resulted from the winglet of the plane to the flight. Many a winglet is nowadays designed for the airplane. Assumes the winglet can stop the air of the tail section of the airplane to revolve up, further increase the force of the raise and the push, and uplift the efficiency of the flight. In order to proof this assumption is correct, so makes an easy air hole to do the research of qualitative and quantitative analysis for the force of the raise and resistance. After about 2000 records tested through the combination of ten sets of the main wing and five tiny wings, and transference of curve diagram , we get a steadily value result. This test result appear the first the winglet can increase the force of the raise, and so do the resistance, and the second to have the force of the resistance decreased, it might be better the section of the winglet is not straight but circular.