Self Assembly Mechanism of Water Drotlets
這是一系列關於水蒸氣冷凝為極細微小水珠的長程實驗。其中可以分為下列三個階段:第一階段是基礎實驗。將水氣導入至潔淨的光滑表面上(蓋玻片),觀察水珠冷凝的機制。第二階段是在外加磁場及電場作用下,將水氣導入至潔淨的光滑表面(蓋玻片),觀察水珠冷凝的機制。這部分的實驗推翻了一般「水分子是電中性,在電場或磁場中不受影響 」的刻板觀念!實驗所呈現出來的冷凝水珠,不但有明確的自我組成模式( Self assembly pattern)。並且發現:電場會增速凝結水珠的成長(Aggregation),而磁場則會抑制凝結水珠的成長。第三階段是將水蒸氣導引至超聲波的環境中:我們先將超聲波訊號產生器(變頻、定頻)面向於載台旁,再讓水氣導入至潔淨的光滑表面上(蓋玻片),觀察冷凝水珠的機制。當使用固定頻率超聲波波源,我們發現:在超聲波場中水珠的成長會受到抑制,且成長速率會隨著頻率的升高而逐漸減小。第一階段與第二階段的實驗結果與討論已分別發表於2004 年及2005 年的台灣國際科學展覽報告中,本作品將詳述第三階段。 This experiment explores the basic nature of the condensation of water vapor into droplets on the surfaces of cover glasses. This condensation occurs because of the difference in temperature between the water vapor and the cover glass. The condensation process is observed under a microscope. The growth of the droplets can be described as: nucleation, aggregation (piling up) and coalescence. The growth is irrelevant to surfaces or environments. It is found that the temperature difference of moist air over the cover glass do not affect the nucleation size of the droplets in simple plain surroundings; while the change of flow rate does. In general, the coalescence is speeded up at higher temperatures. Furthermore, the effects of electric fields 、magnetic fields and ultrasonic waves are also studied. It can be observed that the size of water droplets become smaller and grow more uniformly under magnetic fields or imposed ultrasonic waves; also, the aggregation rate is decreased by imposed magnetic fields or ultrasonic waves, and it is increased by imposed electric fields. These effects of magnetic fields 、electric fields and imposed ultrasonic waves might be related to the flow conditions and the vibration of surrounding air in the system. This experiment provides the first step in the understanding of the formation of water droplets and their self assembly mechanism in different environment.
聞音起舞一 聲音對跳舞草小葉擺動之影響
跳舞草(Desmodium gyrans) 屬多年生木本豆科植物,其特殊之處在於小葉會對外界的聲音有所感應。本實驗以訊號產生器固定聲音強度,發出2、4、6、8、10 KHz不同聲頻之聲波刺激跳舞草,並以每5秒為單位紀錄小葉擺動角度之變化,分析其擺動週期、擺動幅度等不同的變化。實驗結果為跳舞草小葉之擺動週期與擺動振幅是隨著聲音頻率的增加而呈現sin函數變化之圖形。Desmodium gyrans (Leguminosae) is a perennial woody plant. Acoustic waves can stimulate stipules and cause to oscillation. This experiment used the coroma to immobilize strength, emitted the frequency of 2, 4, 6, 8, 10 KHz acoustic wave to stimulate stipules and recorded the changes of oscillation angle every five seconds. We calculated the oscillation cycle、oscillation span, and analyzed experiment data. The most importance result is that the experiment graphs of oscillation angle and oscillation span with different frequency of acoustic waves display sin function metamorphic diagram.
金屬的盔甲
Our aim to attend this science fair is to design an instrument that can plat and measure the mass at the same time. In hope of designing a simple, accurate and convenient apparatus, we created an electronic circuit to display our original idea. In the process of constant improvements, we finally accomplished a “Super Mass Plating Gauge”, which can be easily and widely utilized in school teaching. The production of microbalance and the arrangement of electric circuit are the most significant parts in our research. The major components of the “Super Mass Plating Gauge” include a straw, metal clips and our creativity—the well-arranged electric circuit. The idea of microbalance originated from the Internet, but we advanced it by numerous experiments. First, we attached a steel cord to one side of the cathode in the electricity supplier. Next, we fixed the other side to the negative plate. And then, on the end of the negative plate, we tied a metal clip with the metal that will be plated. Eventually a new “plating gauge” was invented. By doing so, we could use this instrument to make our experiments. Our experimental goal is to research how different kinds of metal, time, electrode and voltage can affect the reduced mass on the cathode. We made use of such metal as copper, zinc and silver to carry out the experiments. In the end, by analyzing the results, we concluded a plating formula that can be applied to metal plating.
我們做此科展的目的,是要設計一個可以邊電鍍、邊測量質量的儀器,我們希望這個儀器是簡便、精確、且線路簡單,並且能推廣到教學的器材。經過我們不斷改良,終於完成了「便利質量電鍍器」 。 其中製作微量天秤和線路的配置方法,是本研究的重要部分。微量天秤的主要結構是吸管、鱷魚夾、及線路。微量天秤的構想,是參考以前的科展作品並加以改良,可精準測量到0.00010g,而裡面的線路,則是我們的創意(如圖一) 。只要把電源供應器的正極,接上左右任一鋼條,負極接到容器另一端,並加上一個鱷魚夾,夾上被鍍物,便是一個可邊電鍍,邊測量質量的儀器了!如此一來,我們就能以此儀器來作我們以下的實驗。 我們實驗目的在探討電鍍時不同金屬、不同時間、電極大小及電壓,對正極金屬片所減少質量的影響。 最後,我們推導出一個有關電鍍時正極金屬片質量變化量的實驗公式。為此,我們也要做許多次、許多種的實驗,來驗證我們的公式是否正確,並以我們所學的理論來推論。
氣象因子對灰面鵟鷹過境遷徙之影響
本研究主要分析氣象因子對於灰面鵟鷹春季過境八卦山區之影響。分析1994年至2004年灰面鵟鷹遷徙資料發現彰化八卦山區之微氣象與灰面鵟鷹族群遷徙波動性具有顯著的相關性,其中以日平均氣壓、日平均相對濕度、日平均風速及日平均風向等氣象因子分別對起鷹、落鷹之族群數影響最為明顯。而其遷徙週期之動態變化,明顯地集中於約16日內完成主要族群之遷移。不論是同一年度內之高峰期變化,或是高峰期與日期契合之相關性,顯示氣象因子為其遷徙影響的重要因子。然而,從各年度間的遷徙高峰期間的相關性分析結果得知,目前11年過境調查紀錄,應該無明顯的規律性動態變化模式,考量其他對於遷徙過程可能具有影響的因子,應有其他的環境或生物因素影響遷徙期間族群的波動性及週期性。對於建立其遷徙模式而言,可能需要更多且更詳盡的遷徙紀錄,以及配合遷徙過程的各過境點的氣象或其他因素合併分析,方能獲得更為明確的結果。The main purpose of this study is to find the effects of the meteorological factors on the dynamics of the migrating population observed at the Pakuashan area in spring for the gray faced buzzard. The migrating population dynamics observed at the Pakuashan area correlated significantly with the local meteorological factors noted from 1994 to 2004. The daily average atmospheric pressure, average relative humidity, average wind speed and wind direction had significant impact on the soaring and landing populations of the gray faced buzzard. Obviously the annual migrating dynamics observed at the study site was accomplished within 16 days. In addition, the similar variation pattern of the peak migrating populations in the same year as well as the consistency of the date of the peak population observed annually supports the hypothesis that the local meteorological factors have a great impact on the migrating behavior of the populations. However, the correlation analysis of the peak migrating populations among years indicated that little cyclic migrating pattern was found in the past 11 years’ observation records. Other biotic or abiotic factors might have influence on the periodicity and fluctuation of the migrating populations. In order to establish a precise population model to describe the migrating behavior of the gray faced buzzard, detailed records of the migration process and the analyses of the relationships among the meteorological data as well as other factors and the bird populations observed should be gathered and performed.
可表為兩個平方數和的一種特定型式的數及其性質推廣研究~「Concatenating Squa
給定下面範例:\r 058823529411764705882 +235294117647058823532\r =0588235294117647058823529411764705882353,\r 其等式結果與質數17 的倒數結果(1/17)有某種關聯(卻沒有一個決定性的證據),意即\r 1/17=0.0588235294117647=\r 0.058823529411764705882352941176470588235294117647...... ( Len(17) =16 )\r \r 曾經在下列網站上發現過幾組數字(挑戰試題),引起我們極大的興趣。\r http://www.domino.research.ibm.com/Comm/wwwr_pondernsf/challenges/March2000.html\r http://www.math.smsu.edu/~les/POW08_96.html\r \r \r The two examples that I have are 0588 2+23532=05882353 and 058823529411764705882+23529411764705882353 2=0588235294117647058823529411764705882353 These were found by the Canadian professor Alf van der Poorten, and he gave a talk on these identities in December at the west coast number theory conference. He was unspecific as to exactly where these identities were coming from, but they are connected with reciprocals of primes:1/17 = 0.0588235294117647= 0.058823529411764705882352941176470588235294117647 ΛΛ ( Len(17) = 16 ) Though not mentioning how to obtain these equations, Prof. Poorten demonstrated the relationship between the above examples and the reciprocal of the prime numbers 17 (1/17 ) without a definitive proof.
當急驚風遇上「玻璃片」-以簡單原理研製便宜準確風速計
本專題研究之目的,在於運用簡單的原理自製出準確、廉價、適用於低風速範圍的風速計;方法是藉由將一連接轉軸的玻璃片迎風,探討迎風時,玻璃片偏轉夾角和風速之間的關係。實驗過程中同時發展出可以用馬達旋臂的裝置與v=rω的原理,產生穩定可計算風速的環境。研究結果發現:在低風速的環境下,θ 範圍小時玻璃片與地夾角和風速大略成正比的關係,所以我們可以得到近似式” v≒aθ+b”,參數(a,b)依玻璃片而定。另外θ 範圍大時,我們可以使用二次逼近曲線的方程式與內插法來作角度與風速的對應。藉由控制玻璃片的厚度、質量與形狀,我們可以製造出相對應風速範圍的風速計。The purpose of our research is to use easy theorems to make accurate and inexpensive anemometer which is available in low wind velocity. To make such anemometers, we made a piece of glass, which was connected to a axle, to face wind; then, we could figure out the corresponding relation between wind speed and the angle created by the original and the resulting positions of the piece of glass. While we were experimenting, we found that we could make a steady-wind-speed environment by using motors, sticks, and the theorem ”v=rω”. The research showed that the angle created by the original and the resulting positions of the piece of glass and wind speed are in direct proportion in low wind velocity in small θ range. Consequently, we\r can derive the formula ” v≒aθ+b” , for each piece of glass (a,b) can be different. In addition, when in bigger θ range, we can use quadratic approximate equation and interpolation to describe the corresponding relation between the angle and wind speed. By adjusting the thickness, mass , and the shape of the glass, we can make anemometers corresponding to different wind velocity ranges.
The unknown gene interacts with dll , abdA,Ubx
We operated the misexpression screen between the EP lines and the pattern lines with the genotypes of eq1>dll, eq1>abdA, eq1>Ubx, eq1-GAL4, ey-GAL4 or dpp-GAL4. After the screening, we found that five of these 1,800 strains of filial generation had special phenotypes. It had shorter antennae and defects in the anterior equatorial region of eyes. We used plasmid rescue and IPCR to sequence the certain target gene, and found that it was escargot, abbreviated as esg. To identify when, where and how the overexpression of escargot induces such phenotype, we operated the staining of eye-antenna disc in third-instar larval period of wild type, eq> esg×UAS-GFP and eq>GFP with anti-dll, anti-caspase3 and anti-esg. The result shows that escargot cannot be detected before puparium formation. But the expression of dll, a gene controls the eye development, was reduced in the eye disc. We except the overexpression cause the defect of distal antennae and the anterior equatorial region of eyes mainly in the 3-day-long pupal life.我們用異位表現法篩選出和eq1>dll、eq1>abdA、eq1>Ubx、eq1-GAL4、ey-GAL4或dpp-GAL4 這些pattern lines有交互作用的EP lines。在這1800種的果蠅子代品系中,有五種具有特殊的性 狀。它們具有觸角短化以及複眼前緣中央區有缺刻的現象(形成心型眼)。我們使用質體救援 法以及IPCR的方法來定序這段未知基因序列,發現這是一個叫做escargot的基因(簡稱esg)。 為了了解過分表現此基因會造成何種分子影響,以至於產生此種性狀,因此我們使用 anti-dll 、anti-caspase3 和anti-esg 進行野生型、eq>esg×UAS-GFP 和eq>GFP 三齡幼蟲的 eye-antenna disc的螢光免疫染色。結果在幼蟲成蛹前都沒有偵測到esg的表現現象;不過在eye disc中,控制眼睛發育的基因dll的表現有被抑制的現象。因此我們推測過分表現esg的過程因 該是發生在為其短短三天的蛹期。也就是說,這種表型應該是在化蛹後形成。