臺灣

多變色膽固醇型液晶面板為利用具雙穩態(Bistable)特性及因螺距不同而反射特定波長的膽固醇型液晶(CLC)。本研究創新作法為二：一、利用固化的方式使膽固醇型液晶螺距大小不同，使變色機制不同於一般電腦液晶面板，所製的液晶面板為以液晶的特性變色。二、將液晶螢幕中控制液晶的IPS 系統、側邊電極應用於液晶白板中。雙層液晶白板上層為混合E7(向列型液晶)+S811(旋光物質)的Bistable CLC，下層為混合RM82、CB15、BL006、I-369 的多變色(Multi-color)CLC 面板。The main purpose of the research plan lies in the application of the CLC. By using the Cholesteric －the bistable and the wavelength due to different pitch sizes－ we can make liquid crystal whiteboard. First, by heating and curing, we are able to cause the pitch sizes of CLC to be different. Unlike the commonly used LCD in computers, the features of CLC itself are applied to the color changing mechanism we make. Second, we apply the IPS horizontal electric field and flank electrode to our LCD whiteboard. In making the Multi-color CLC Display, we mix RM82, CB15 and BL006.

本實驗合成之奈米銀粒子產物分為水溶液與固態形式。奈米銀粒子水溶液態製造方法以多芽基之檸檬酸根離子當保護劑，再以NaBH4 還原生成奈米銀粒子。而固態形式之奈米銀粒子是先以四級銨鹽界面活性劑當保護劑，經過NaBH4 還原生成奈米銀粒子水溶液後，再用二氧化矽包覆奈米銀粒子，藉由高溫燒去保護劑，得到含奈米銀粒子之二氧化矽分子篩材料。 將含奈米銀粒子之二氧化矽分子篩材料產物浸在純水中，除了不會改變水溶液性質外，又能以分子篩通透的特性，讓奈米銀漸進地釋放出銀離子，而達到長效性抗菌效果。 至於具抗菌性棉衫或濾網的製作，則採直接浸泡在奈米銀粒子水溶液中的方法，使奈米銀粒子吸附於上，針對上述實驗非常成功，洗滌超過十次且放置時間長達一個月以上，其抗菌效果仍佳，表示此簡易法製成的棉衫或濾網具有長效性的抗菌功效，為本研究重大突破。 奈米銀粒子對環境的影響是利用黑殼蝦來測試，控制適當奈米銀粒子濃度，使黑殼蝦能生存，亦可達到水中殺菌的效果。本實驗為首次針對奈米銀粒子對環境影響的測試並獲得重大的成果。;In this study, two Ag nanoparticles samples including Ag nanoparticles in aqueous solution and in solid form were prepared. The Ag nanoparticles aqueous solution readily obtained from reduction of AgNO3 aqueous solution with NaBH4solution in the presence of the sodium citrate as protecting agent. To prepare the Ag nanoparticles@porous silica sample, cationic alkyltrimethylammonium surfactant was used as the protecting agent of Ag nanoparticles and template of the porous silica. The Ag nanoparticles@porous silica was synthesized via reduction by NaBH4, silicification in silicate solution and calcination for the removal of surfactant. When adding the Ag nanoparticles@porous silica, the property of the aqueous solution was not changed. In addition, the Ag+ ion was gradually released from the accessible silica matrix to achieve a long-lasting effect on anti-bacteria. To prepare anti-bacteria clothes and sieves, these objects were soaked in Ag nanoparticles aqueous solution. The Ag nanoparticles were spontaneously absorbed into the clothes and sieves. The anti-bacteria efficiency of the Ag-nanoparticles containing clothes and sieves still remains even after ten-time washing and a period of time longer than one month. These worthy results indicate that this synthetic method provides a simple way to prepare the long-lasting Ag-nanoparticles containing clothes and sieves for anti-bacteria application. To investigate the influence of the Ag nanoparticles on the environment, shrimps are used as testing objects. With a well control on the Ag nanoparticles concentration, the shrimps survived well and the bacteria content was reduced. It is the first time to have testing result about the effect of the Ag nanoparticles on the environment. Thus, this is the most remarkable achievement in our experiments.

密閉容器置入待測液，放入浮沉子，施加壓力，當浮沉子恰要沒入液中瞬間，因表面張力的總力達極大值且向上，外加壓力(p1)為極大值，浮沉子沒入液中；液面減壓，當浮沉子在液面正下方時，外加壓力 p2，量 p1、(p1- p2)，浮沉子的質量 m，外半徑 R，及玻璃管的體積 G V ，可求得液體表面張力。 液面再減壓，浮沉子恰要露出液面時，表面張力的總力達極大值且向下，外加壓力(p3)為極小值，量 p3、(p2- p3)，浮沈子的質量 m，外半徑 R及 G V ，應亦可求得表面張力；但實驗時浮沉子漂移到容器邊，並吸附在器壁上，因此發現浮沉子的”Cheerios effect”。 利用浮沉子和容器的相吸及相斥現象，可解釋西式早餐的小榖片放入牛奶中為何會漂移到碗緣，並支持 Vella在 2005 年 9 月份美國物理期刊(AJP)認為 Cheerios effect的成因除了由於接觸角不同外，浮力、重力、表面張力共同作用，使小榖片間有相吸、相斥現象。 The experiment apparatus is equipped with a Cartesian diver by using a glass tube with air trapped inside that floats or submerses in a closed vessel containing liquid. The external pressure may be varied with a syringe and measured with a water manometer. The maximum pressure P1 inside the vessel is measured when the diver is just about to sink, where the surface tension that acts on the diver is upward. Then the pressure P2 of the vessel is measured when the diver is just beneath the liquid surface, where no surface tension acts on the diver. Finally, the surface tension is calculated from P1, P2 and the radius of the diver, R. When the pressure inside the vessel is decreased, the diver will rise. As the diver is about to emerge from the liquid, we get the minimum pressure P3 inside the vessel, and the surface tension that acts on the diver is downward. By measuring P3, P2, and R, the magnitude of surface tension is found to be the same as above. When the diver is just about to sink into the liquid, it floats to the center of the vessel. When the diver is about to emerge from the liquid, it sticks to the wall of the vessel. This phenomenon is named the “Cheerios effect.” Our results again strongly support that the cause of the effect is due to the different contact angles between the diver and water, as well as the balance of gravity and surface tension in the case of the sinking diver, and the balance of buoyancy and surface tension in the case of rising diver as Vella claimed in his paper (AJP 73, 817 (2005)).

醫學上的植皮手術成功率受皮膚厚度影響，皮膚愈薄癒合速度愈快，其中以取皮厚度介於0.05mm 到0.1mm 為佳。在實驗量測時，需要經過一連串繁複的薄皮標本製作，再放到光學顯微鏡下測量，這種厚度測量方式不但耗時，又因嚴重損毀皮膚而不精確。由於使用螺旋測微器做接觸式測量會有形變的問題，因此我們想做間接接觸式的測量，所以採用氣體為媒介，做非破壞性檢測膜厚，這對於在皮膚上的施力遠小於螺旋測微器或是接觸式膜厚計。我們設計一套三頭連管線，使用空氣為媒介，儀器運作原理為在管線一端針頭非常靠近被測物時，所流出的氣體會受到被測物阻礙產生反壓使管線內的壓力上升，導致連通於另一管路的氣泡指示計壓出氣泡，當氣泡為最大氣泡時（半球形）視為達到平衡狀態。實驗時先用已知厚度且不變形的蓋玻片來當作被測物，此時可以算出針尖至蓋玻片的實際距離做為參考值。在量測軟性薄膜時，設計上採用兩側雙針頭靠近軟性被測薄膜兩側以達到氣流氣泡平衡，這時使用螺旋測微器讀取兩針尖距離，減去已知參考值的兩倍距離，即可測出未形變的軟物質厚度。本研究開發一套能測量軟性薄膜的厚度裝置，尤其在皮膚厚度測定上，不但不會直接接觸標本造成損毀，並且能夠快速地測量出厚度值，此為本儀器的最大特色。The thickness of skin graft has deterministic influences on the success of graft surgery. Experimental measurements of skin graft thickness involve complicated specimen preparation processes followed by optical microscopic examination, which are time-consuming and may incur inaccuracy due to possible damage. Here we propose a novel method using air as the media to avoid direct contact of the measured object. The physical operation relies on the following principles: When the tip of a needle connecting to a catheter system is placed close to the object to be measured, the air pumped forward from the catheter system becomes impeded by the object. The resulting backflow pressure opposing the air flow causes an increase in air pressure within the catheter and inflates the bubble connected at the other end. Balance at maximal surface tension is attained when the bubble reaches its maximum volume in hemispherical shape. In practice, a two-needle design was used, each approaching simultaneously from each side of the object. A micrometer was then used to read the distance between the two needle tips, from which the film thickness was derived, subtracting the thickness of the air layer pre-calibrated using cover glass with known thickness. The system implemented was capable of measuring thickness on soft thin films with an accuracy of ± 0.001mm. In addition to rapid measurements with high accuracy, since the pressure exerted on the skin graft is much less than in conventional calipers requiring direct contact, our method has the unique non-distorted and non-destructive advantages.

在一次課外進行的示範實驗中，化學老師用玻棒將KNO3的飽和溶液塗在白紙上上，以吹風機把水吹乾後，以線香去點塗過KNO3的地方，會發現火星會沿著塗過KNO3的軌跡燃燒，示範後，我們實際操作，發現KCIO3也有這種特質，於是有人嘗試以KNO3加上KCIO3的溶液進行實驗，意外的發現在實驗進行時，軌跡之前端會出現小小的球(爆燃)，邊滾邊燒，且球中有一些氣體，為得知這是什麼，於是設計，進行以下的實驗。

我們先假設有一正方體及一截過正方體之平面，並設正立方體為一k*k*k 之立體。為計算平面截過之單位正立方體個數，我們必須先分別計算各層被切過之個數再將之相加，因此將各層面投影至同一平面，簡化為平面上之問題，並討論其性質／規律，計算平面截此正立方體之個數。如此，便可以一般化數學式計算平面截正立方體個數之問題。接著，用以上方法為基礎，討論各種平面切正立方體之類型，將被平面所截之單位立方體個數以電腦程式算出，觀察數字變化及其性質規則，並找出最大值發生之條件。 We initially supposed that there are a regular hexahedron consists of unitary n × n cubes and a plane which incises the regular hexahedron. To calculate the total number of the unitary cubes incised by the plane, we can first calculate them layer by layer and then sum them up. And further, we project each layer on the same plane, so the three-dimensional problem is simplified into two-dimension. By making use of the character which results from projection, we can easily calculate the number of the unitary cubes incised. Consequently, we are able to calculate them with a general equation. Afterward, we research each circumstance that the plane incises the regular hexahedron on the base of the mentioned methods. Calculate them with self-designed computer programs, and observe the regulation and change of the result. Furthermore, we can find out when it will achieve the maximum.

桃園虎頭山是位於林口台地南端的低海拔(約240~260M)丘陵地,表土層屬於紅土層,紅土主要成分為細沙(直徑>50μm，約佔50%)、粉沙(直徑2~50μm，約佔30%),其餘以黏土為主,加上少量含鐵礦物,採樣地點字圖二中的三聖宮旁的登山步道,其坡面面向東南方,對位處北緯25度的桃園屬於向陽波,經日曬適當時間後所產生的龜裂現象,是我們探討的對象;We have focused the study on the sun cracks found in the Mts.Hu-To are located in the southern part of the Mesa Lin Kou, which are 240m to 260m above the sea level. Mainly red clay, the surface soil is a composition of fine sand(diameter>50μm,up to50%)and silt(diameter>2~5 μm,up to 30%),including clay and a limited amount of iron minerals. The soil sample was gathered at the trail beneath the Hil Gue-Lun(241m,see pic.1)from the southeastern latitudes.

COVID-19肺炎病毒肆虐全球，強調用肥皂多洗手，已是大家認為最有效的防疫作為。有鑑於此，本研究希望透過學習肥皂製作過程，探討「皂化反應」的溫度、重量與pH的變化，以及「皂化現象」的影響因素，最後嘗試製作防疫抗菌手工皂分送給全校班級，共同為防疫盡一份地球公民的責任。研究中分別觀察皂化過程的pH值、硬度與去污力，發現皂化過程中的油品種類、油品溫度、鹼水與油品間的溫度差、氫氧化鈉的量、油品比例、環境溫度，都會不同程度的影響成皂情形。我們也發現，在實驗中設定的任何溫度都能成皂，而非一般認知的特定溫度。最後，利用實驗室培養的純化大腸桿菌，測定以艾草液、左手香液製成的肥皂有不錯的殺菌效果喔！

我們使用C++撰寫了一個音準練習程式：使用者輸入聲音後，經由音頻辨識方法求出其頻譜中最高能量之頻率，以之為基頻，再將其與目標音高相較，得到誤差率及走音程度。此外程式還可秀出所唱的樂譜，和發出對應的鋼琴或正弦波的聲音，方便使用者校音。而為了做音高辨識，我們也收集了許多聲音檔案，觀察其特色，研究不同音色的頻譜或是波形特性，並利用其特徵完成一個音色自動辨識程式。\r 首先我們測試了各種演算法，並且選用了快速傅利葉轉換作為主要製作的演算方法；接著我們利用Microsoft Visual C++撰寫我們的程式。這個程式主要可分為錄音、辨識以及樂譜繪製三大部分，皆會在此份報告中詳細說明。\r 文中將說明音頻及音色辨識的方法，一些關於音樂的基本知識，微軟公司的wave檔格式，此系統之應用，以及音色的波形頻譜分析。我們使用FFT 求得聲音的頻譜，且將針對此部分演算法做簡單的說明，並探討如何達到所需之頻率準確度，如何以較高效率辨識，及如何找出不同音色的特性。

人類目前廣泛的應用奈米鑽石，奈米鑽石粒子極為微小因此很容易進入生物體內，對於生物體所產生的影響為本次的研究對象：奈米鑽石、奈米磁性粒子之生物毒性與其在生物體的分布。\r 加入奈米鑽石、奈米磁性粒子之後綠豆發芽數減少。發芽的綠豆中加入不同量的奈米鑽石、奈米磁性粒子，發現濃度越高生長速度越慢。在綠豆吸收奈米鑽石、奈米磁性粒子後，在根、莖、葉細胞內都有發現奈米鑽石、奈米磁性粒子。在麵包蟲的研究中發現，在0.25克濃度下，有些微的影響，而在0.75克和1克之影響甚大。在人類胎盤滋養層細胞中，發現加入奈米鑽石800微克以上對其有毒性。在細胞的分布，可發現細胞質及細胞核中都有奈米鑽石，當細胞內太多或作用太久時，會出現細胞凋亡的現象，此時奈米鑽石會大量聚集在細胞核，這可能是造成細胞死亡的原因之一。本研究意外發現在細胞分裂時，奈米鑽石只分布在細胞核周圍的細胞質，但是在赤道板及染色體上並沒有。