物理

「風笛」是台灣原住民鄒族的信號用具及祈雨法器，由一條繩子綁一支竹片構成。轉動風笛時，竹片會繞繩子自轉並拍打空氣而發出聲音，並有上下飛舞的現象。 \r 風笛產生聲音的原因，為竹片拍打空氣而造成的渦流共振現象；又由於繩子扭力大小及方向改變，使風笛的音調忽高忽低、響度忽大忽小、且竹片會在兩個平面上公轉，而有週期性變化。 \r 施力使風笛公轉轉速加快時，竹片自轉速率也變快，使其音調愈高、響度愈大；而繩愈短、愈粗時，竹片的公轉週期將愈短。

本實驗主要是探討磁色效應，光通過狹縫會產生繞涉現象產生繞涉圖形，為了要了解繞涉現象，要先瞭解光柵的結構。要探討光柵，就要先探討探討磁流體的結構結構，磁流體乃是將一般磁性物質製成小粒子，再使其懸浮於非磁性液體中，根據統計力學，只要粒子夠小，就可經由布朗運動均勻散佈在溶液中。而散佈在溶液中的磁性粒子會因為磁力及凡得瓦力而聚集，所以一般都會在小粒子周圍覆蓋一層介面活性劑，防止發生『沈澱』的聚集現象。磁流體具有磁性特徵及流體特徵，磁性特徵是磁流體的居禮溫度和一般鐵磁固體相當，而且在外加磁場時磁性顆粒會連接成磁柱，而流體特徵則表現在其具有各式各樣的、流動性、黏滯性、揮發性、飽和性及導熱性。我分別將磁流體薄膜在加入不同磁增率的磁場、不同大小的電場、混入液晶等的狀態下，做各種的光柵樣本。接著再打入平行光，觀察繞涉圖形，其中加入磁場的，磁性顆粒會連接成磁柱，縱切面會形成點狀的六角行有序結構，非常適合做光柵，繞涉圖形是一七彩圓環。加入電場的，並沒有規則的排列，沒有如加上磁場般有規律的變化，但是觀察到很多磁性顆粒的擾動和聚集，還有電極邊界的一些變化。而加入液晶混和均勻之後，為一個比原本顏色更深黑的流體，磁流體的粒子即固定不動，成黑色團塊混合乳白色的液晶，對電場磁場都沒有反應。就實驗觀察到的，我們發現了，最是合作光柵的是在磁場下的磁流體，而電場對磁流體的結構也有一定的影響，在探討光柵的實驗中，也觀察到了很多磁流體的特殊現象。

A cylinder rolling on an inclined plane and a sphere on grooved tracks are discussed in details.Using elementary mechanics, the formulas are derived for the time interval (t) and the final speed (vas a function of release height (h). (1) A cylinder is rolling down an inclined plane. The speed and time of the center of mass ofthe cylinder which changed with position (x) are recorded by a motion sensor. We can get theplots of v vs. √x and t vs. √ x, and find that the acceleration of the center of mass of thecylinder is constant, whether the cylinder is in rolling or a combination of rolling and slipping. (2) A sphere is rolling down an inclined grooved track. The final speed at the bottom of thetrack can be calculated from the physics of projection motion after the sphere leaves the track to thefloor. The time t for the sphere starting from rest to the bottom can be recorded by using photogate detectors. From the v-√h and t-1/√h graphs, μs between the sphere and track can be obtained. (3) When a sphere is released from the vertical height h of a cycloidal slide, the time tof pure rolling is the same independent of release position. But, when the sphere moves at a combination of rolling and slipping, the time t' will be different from t. We measure t and t' with photogate detectors and get the plot of t vs. h. The value ofμs can be calculated from the t - h graph. 圓柱或鋼珠從斜面或有槽曲面形成的軌道上滾下時，利用基本力學，可推導出時間 (t) 、速率 (v) 隨高度改變的函數關係。 (1) 利用運動感應器記錄圓柱由斜面上滾下時，圓柱質量中心的速度及運動時間隨位置 (x) 的變化，可繪出 v 對√ x 及 t 對 √x關係圖，由v－√x 及 t－√ x圖可知不論圓柱純滾動或滾動兼滑動，其質心均等加速度運動。 (2) 鋼珠由有槽斜板滾下時，到達底端的速率可由從底端至地面的拋體運動算出，而其時間t則可利用光電計時器直接記錄，利用 v－√h 圖及 t－1/√ h 圖可求出鋼珠和軌道的靜摩擦係數 μs。 (3) 鋼珠從旋輪線上方純滾動至底端時，所經歷的時間 (t) 和釋放高度無關，但是當鋼珠滾動兼滑動時，所經歷時間 t' 會改變，利用光電計時器量出 t 及 t'並作圖，利用 t－h 圖可出 μs。

A polysiloxane elastomeric lens was formed by mixing a silicone elastomeric base and silicone elastomer curing agent. It was molded from a +100 glass lens attached to a milled Plexiglas mold. The changing focal length as a result of the application of different degrees and ways of applying strain was observed with the help of a diverging laser beam and 28 and 30- diopter lenses. The shortening of the focal length as a function of applied strain using weights was observed for two treatments namely low weight and high weight. The focal lengths were measured using a vernier caliper and an adjustable white board on which the laser beam was reflected. Data for the experiment involving weights showed that there is a general decrease in the length of the foci of the elastomeric lenses as more weights were added to the set-up. This can be attributed to the increase in curvature of the lenses as more weights were added. Data for the experiment involving spring balances showed that there is a general increase in the length of the foci of the elastomeric lenses as the spring balances are pulled harder. This can be attributed to the flattening or decrease in curvature of the lenses as the spring balances are pulled harder. A stretchable lens can be used to replace intraocular lenses in cataract extraction. By changing the focal length, the lens can work for a wide range of distances, and therefore serve as the definite solution to the development of cataracts and other conditions that affect visual activity.

在綠色能源中太陽能的利用充滿了無限的機會，其中利用太陽熱能發電的太陽能煙囪觀念有很大的潛力。在本研究中，我們以實驗的方法討論煙囪高度、入風口大小、管型等因素對solar chimney 效益的影響，發現就原先的觀念設計中，有相當大的改進空間。整體實驗而言，所改變的各項變數中，以管型之改變有最大的改進效益。就同長度直管與漸擴管而言，漸擴管在風速上有明顯改進效果，且以流速與截面積換算成效率，較原直管設計之效率高出約20 倍，因此推測漸擴管應用在現行之solar chimney 以改進效能是極有可行性的。研究中也發現煙囪管壁的熱傳導也會影響氣體的總體流動，使效率降低。相信此實驗之數據對日後嘗試對solar chimney 進行改進的研究者有相當之參考價值。Solar energy has a great market potential among many clean energies. The new solar chimney concept using solar thermal power in power generation may have a bright future. Experimental work was performed to study the energy conversion characteristics of a solar chimney. The air moving capability and the influences of chimney height, the shape of chimney and air entrance dimension were studied. It was found that there is a great room to improve the current solar chimney design and thus the efficiency. Overall speaking, the chimney pipe geometry may have the most significant impact on the improvement of performance. A diverged pipe configuration can induce nearly 20 times more flow than a traditional straight pipe. Another finding is the heat transfer effect on the chimney pipe may have the effect in reducing the flow. It is believed that the present study0 is valuable for those people in designing a future solar chimney.

能源之獲得為當今半導體科技要突破所必須克服的課題，尤其須顧及到環保之要求。所以太陽能之研究及使用已經越趨重要之地位。本實驗用天然的染色子（葉綠素 A 及亞甲藍）當作觸媒劑加在自行研製的太陽電池薄膜： Cul /光敏物質/TiO? P-N型結構。光敏物質／ CuI/ Cu plate P-型結構。 光敏物質TiO?/ SnO?/glaaa N-型結構。不同層次薄膜分別是以溶膠凝膠法及化學沉積法將 TIO?及CuI長在玻璃甚板、鋼基板及 TIO?薄膜上。本實驗的太陽電池薄膜生長速率極其穩定 ( Cul : 0 . 25um/hr , TIO? :2um/hr) ，薄膜照光電壓 0 .01~0 .1V ，照光電流 0 . 030~0 . 050 mA/cm2。

本研究主要是探討液晶面板在不同的電壓下，對紅外光區及可見光區之穿透光譜。藉由控制外加液晶面板兩側的電壓，改變內部的電場強度，驅使液晶分子長軸方向改變(偏轉)，以達到控制穿透率之目的。施加於液晶面板兩側的電壓V大於起始電壓V0時，液晶分子長軸受電場作用與電場方向平行，減弱引導偏振光扭轉之能力，讓部分光通過偏振片。令及分別代表穿透率達到最大穿透率之10%及90%時的外加電壓，則定義「光-電開關斜率」γ為：γ =(V90-V10)/V10。透射光強度與外加電壓關係曲線則稱為「光-電開關特性曲線」。穿透率除與液晶分子之旋光程度有關，我們也做了在不同電壓下，液晶分子之穿透光譜，並討論其特性。The main idea of the project is to discuss the transmittance spectra of liquid-crystal device in the range of infrared and visual light (400~900 nm) with different electric field by changing voltage. Different biases are applied to the liquid-crystal cell, causing the axis of liquid-crystal to rotate, and the transmittances are measured. If the application of bias is greater than the threshold voltage (V0), the axis of liquid-crystal will be parallel to the electric field, and make the beam pass through polaroid. Electro-optical switching slope γ is defined as γ =(V90-V10)/V10 , where V10 and V90 are the applied voltages enabling output light signal reaches up to 10% and 90% of its maximum intensity, respectively. It is understood that transmittance depends on the optical activity of liquid-crystal cells. Besides, we will discuss the relation between wavelength and transmittance of liquid-crystal cells.

本研究利用波以耳定律為基礎，以理論計算推導的方式，模擬水氣壓計的操作模式，並 探討其校準模式與誤差來源。 以此設計出的水氣壓計有以下兩個特色： 1. 大氣壓力的變化與水氣壓計液面的變化為線性關係。 2. 可以得到比水銀氣壓計更佳的靈敏度。 而在水氣壓計的校準上分別探討了標準校準、壓力差校準、溫度校準與重力密度校準。 利用標準校準可以得到水氣壓計液面變化與大氣壓力變化的線性關係式。而溫度校準與密度 校準在儀器操作環境為定溫下則可併入標準校準。 This study based on Boyle's law imitates the operation model of water barometer and discusses its calibration and sources of error. The designed water barometer has two features: 1. The relationship between atmospheric pressure and the height changes of the surface of the water barometer is linear. 2. More sensitive than that of a mercury barometer. We also discuss standard calibration, pressure calibration, thermo calibration and gravidensity calibration. The linearity between atmospheric pressure and the height changes of the surface of the water barometer is known by standard calibration; thermo calibration and gravidensity calibration can be merged into standard calibration under constant temperature surroundings.

本實驗是控制奈米碳管的成長條件，研究奈米碳管的成長機制、電子場發射特性。奈米碳管的物理性質會因捲曲度(helicity)、管壁厚度(單層或多層)、管徑所影響，而不同的捲曲度，會形成不同電性(金屬性或半導體性)的奈米碳管。由此可知，探討奈米碳管的成長機制，以控制奈米碳管的穩定成長，及如何長出電性或光學性質相近的奈米碳管，是極為重要之事。為了研究奈米碳管的成長機制，我們使用微波電漿輔助化學氣相沈積法 (Microwave plasma ehanced chemical vapor deposition) ，在市售的縫衣針針尖上，成長奈米碳管，這個技術能夠經由吸收微波達到局部加熱針尖的方式，再透過控制微波功率、通入氣體的種類、壓力的變化以及催化劑的使用，能夠達到有效控制奈米碳管的成長條件。我們改變三個參數：催化劑的使用、氣體種類(Ar+CH4 或N2+CH4)及壓力，之後利用SEM 觀察奈米碳管的成長情形；再測量場發射(測量電性)，討論不同成長的條件與場發射電流關係。

In our daily life, objects and the contacts between objects they will have mutually affect each other, some initially chaotic systems after a sufficient amount of time will mutually correct each other, and finally achieve synchronization (example: the speed of bird and fish migration, market prices, infantry…), although some are unable to achieve this. We will illustrate and explain the synchronization system, its process and discover the conditions for synchronization. Using linking concepts, we will integrate the coupled map lattices with global coupling and coupled map lattices with intermediate-range models into a synchronization mode in order to simulate a synchronization system. We first used a small system of n≦50 to obtain results that will demonstrate the linking concepts: 1. The more chaotic a system, a longer period of time is required for synchronization. 2. An increase in the number of individual objects requires an increase in the range of concepts and the amount of time in order to achieve an in depth synchronization. 3. Initial concept values which randomly effect synchronization critical point conditions are not obvious in a mathematically incorrect graph. In a closer look, when we increased the synchronization to n≦400 and the number of times to t-->100,000 we discovered:1. Using the function G(x) we hoped the results from the graph after apply the function and correction able to overlap and test with “Scaling and Universality in Transition to Synchronous Chaos with Local-Global Interactions”, but the part which overlapped the measurements was not identical: 2. We can use the significance of the critical point and the Interactive Process to find the approximate value of the critical value up to 4 digits following the decimal point. 3. We can also use the approximate value to find out the range for the simultaneous conditions and the various points on the system itself, as well as obtain a negative correlation between them, and then it can be similarly expressed with using a curve. A computer can calculate values with this kind of enumerating method, even without any special resolution capabilities to quickly obtain large amounts of approximate values of simultaneous conditions, this is especially true when calculating unfamiliar systems. 日常生活中，物件與物件的接觸，彼此會互相影響，有些原本雜亂的系統再經過充裕時間的互相修正後，最後竟能達成同步(例如：鳥群、魚群遷徙的速度、市場價格、行軍步伐…)，有些則不能。因此，我們試著利用描述同步系統的模型，觀察系統同步的過程，並且找出同步的條件。由連結的觀點，我們將Coupled map lattices with global coupling 和Coupled map lattices with intermediate-range 模型的優點整合成Synchronization mode 去模擬同步系統。我們先用小系統(n≦50)得到能印證連結觀點的結果：(一)、系統越雜亂，就需要稍長的時間同步；(二)、個體數越多時，各點需要更大範圍的點數去影響於每單位時間內以及更深的影響才能同步；(三)、起始值隨機影響同步臨界條件並不明顯，在誤差範圍內。更進一步，我們將系統推向n≦400 點,t→100,000 次，我們發現：(一)、在”G(x)”我們希望能將圖形經過函數修正之後能疊和，驗證”Scaling and Universality In Transition to Synchronous Chaos with Local-Global Interactions ”中的結果，但只有部分疊和，尺度不相同；(二)、可以直接利用臨界點的意義用十分逼近法求出臨界值的近似值到小數後四位；(三)、我們用近似值也能發現同步條件與系統各點本身可跳躍的數值範圍是負相關，可用曲線去近似。這種窮舉方式，交由電腦運算，不需要特別的解析能力就能夠快速且大量求得同步條件的近似值，尤其在運算不熟悉的系統時。