蛙！到底發生了什麼事？探討溪谷生態系畸形蛙的發生原因及其生態學之研?
Our research started from June, 2003 to May, 2004. During these twelve months, we collected and discussed the basic ecology material of malformed “ Rana latouchii ”, which we call it frog in the following paragraphs . Thanks for the favorable geographical position, we collected the first-hand data in the area of Jin-Mian Mountain foothill gully situated in Taipei. Our investtigation project includes：the percentage of the malformed frogs in a whole race, the geographical distribution of dominant-abnormal frogs, the sexual distribution of dominant-abnormal forgs, and the possible roots for the generation of malformed frogs. We have altogether carried seventy-six times field investigations. In those investigations, we focused our research on the randomly-sampled 580 Rana latouchii. In these 580 sample, there are 190 female, 350 male, and 40 adolescent. We discovered seventy-six malformed frogs, constituteed by 21 female, 53 male and 2 adolescent. In another words, the occurance of malformed frog in a race is around 13.1. %. In our observation, we can classify dominant-abnormal frogs, “Rana latouchii”, into eight species. Here are the species: 1. the entire body is obviously malformed, 2. with only one eye, 3. in lack of appendage apod, 4. in lack of arms,5. in lack of palms, 6. with excess webbed toes, 7. the maltfromed of appendiculars, 8. the lack of toes on the palms. Within these 8 species, the last species has the highest occurance, 66.38% in aproximation. If we look at the classfication by sex, the ratio of female to male is around 1 to 2.52(1:2.52). However, the possibility of being maleformed is regarded as the same for female and male frogs in the same group. In statistical term, our research shows that the chi-square is 1.742 while our degree of freedom is 1 and confidence level is 95% (X2=1.742，df=1，p>0.05). During the research, we also observe that each malformed species affect different living activities of malformed frogs. In the worst situation, the malformed nature can result in shorter life. In our sampling area, malformed frogs mostly reside in high concealment and high humidity location. In our research data, within these area, our re-captured rate for malformed frogs is 25% and hirudin-parastical rate is 4.31%. As our research shows, the occurance of malformed “Rana latouchii” in our selected area results from 3 main causes： First, the parasitism of leeches or parasitic worm；Second, the agriculturally chemical contaminants；Third , the injured causes from escape from predator. 本研究自2003年6 月至2004年5月為止，共12個月的期間，於臺北市內湖區金面山南麓溪谷，對拉都希氏蛙(Rana latouchii)族群之畸形蛙個體進行基本生態資料的蒐集與探討，調查項目包括：族群中畸形蛙發生的比例、畸形蛙外部形質異常分佈的情形、族群中雌蛙與雄蛙發生外部形質異常之情況及可能造成畸形蛙產生的原因。 研究期間共進行了76次的野外調查，總紀錄了拉都希氏蛙580隻，雌蛙有190隻，雄蛙有350隻，幼蛙有40隻；畸形蛙個體共紀錄有76隻，雌性畸形蛙有21隻，雄性畸形蛙有53隻，幼體畸形蛙有2隻。族群中畸形蛙發生率約為：13.10％，外部形質異常的畸形拉都希氏蛙總計有八大類，包括：1.整隻個體形質畸形，2.單眼個體，3.附肢缺少，4.附肢缺臂，5.附肢缺掌，6.腳掌多趾，7.附肢腳掌畸形，8.附肢腳掌缺趾，其中以附肢腳掌缺趾類的66.38％發生率最高。畸形蛙中雌雄比約為1：2.52，族群中雌蛙與雄蛙發生畸形的比例並無顯著的差異（X2=1.742，df=1，p>0.05）。 不同部位形質畸形的發生，將會影響畸形蛙的個體活動，甚至可能降低畸形蛙的存活機率。研究調查樣區中，畸形蛙較常活動於濕度高且隱蔽度大的分樣區中，畸形蛙的重複捕捉率為25％，被水蛭寄生的比例則約是4.31％。 由調查研究結果顯示，造成內湖金面山區南麓溪谷拉都希氏蛙畸形蛙發生的主要原因，推測可能有下列幾種：(1)水蛭或是吸蟲類的寄生；(2)農作過程中的化學污染物；(3)逃脫掠食者捕食過程受傷。
大氣層厚度光學測量法之研究及創新
這個專題研究的目的是要發展出一套簡單可靠的方法和廉價自製的器材，在地面上即能有效估測大氣層的厚度。我們小組研究光學中雷氏(Rayleigh)散射的原理，針對空氣分子對光線散射作用和特定方向之偏極效應，利用一已知散射長度之路徑，測量其偏極光的強度，同時比對由大氣層散射而來，在同一偏極面上的散射光強度，即能估算大氣層的厚度，方法簡單新穎，自製器材經實際測量和改進，有發展和推廣的價值。\r The main idea of the experiment is to set a system in order to effectively estimate the thickness of the atmosphere. On the theory of “Rayleigh Scattering” (small air molecules sizing about 10-4μm), we developed an equipment that has two tubes. The tubes lead the scattered lights from two paths. One is called “air light” scattered in the ground air, and the other “sky light” is scattered in the sky and reflected by a beam splitter. The two paths are on the same plane; the scattered lights are perpendicular to the direction of sunlight and 100% polarized. We could adjust and measure the distance “d” of the air light path. We simultaneously observe and compare the intensity of the lights from the two paths with the electronic instrument made by ourselves. By using the known distance “d” and the reflection “x” of the beam splitter, we can calculate the thickness of the atmosphere. The experiment is simple, novel and easy to do in an extensive field at school. Researchers don’t have to use a bloom, radar or satellite to discover the atmosphere, but you could use a simple equipment to observe the features of it.
大安水蓑衣(Hygrophila pogonocalyx)的復育對黑擬蛺蝶(Junonia iphita iphita)食性偏好??
大安水蓑衣（Hygrophila pogonocalyx）為局限分佈於臺中縣沿海溼地之稀有植物。大量境外復育栽殖後，造成近年來黑擬蛺蝶(Junonia iphita iphita)利用此種新寄主植物的比例增加。本實驗比較黑擬蛺蝶在原寄主植物臺灣馬藍(Strobilanthes formosanus)及新寄主植物大安水蓑衣上之生長環境遮蔽度、幼蟲生長發育、雌蝶產卵偏好的差異，探討大安水蓑衣復育對黑擬蛺蝶族群可能造成的影響。實驗結果發現利用大安水蓑衣之幼蟲生長發育較佳、羽化後成蟲體型較大、有效積溫常數較低。雌蝶產卵行為可能存在兩種偏好性，且子代雌蝶對寄主植物的偏好性與親代一致，不受幼蟲期取食植物影響。偏好新寄主植物之雌蝶其子代的生長發育，利用新寄主植物者顯著較利用原寄主植物者佳，顯示其對原寄主植物的適應顯著下降。本研究認為大安水蓑衣的復育結果，造成黑擬蛺蝶族群在可能共域的情況下，因為利用新的寄主植物可能已產生初步分化的現象。Hypgrophila pogonocalyx is a rare plant species which is distributed in wetlands along seashore of Taichung County. Recently, I found that the common butterfly Junonia iphita iphita recognized H. pogonocalyx as a new hostplant because of the restoration practices of H. pogonocalyx. We compared the differences of forest overstory coverage, larval growth performance and female oviposition preference between J. iphita iphita individuals exploiting the H. pogonocalyx and those utilizing the original hostplant Strobilanthes formosanus. Possible effects on J. iphita iphita by restoration of H. pogonocalyx are analyzed and discussed. It turns out that better growing performance and longer adult forewing length were found on the larvae feeding on H. pogonocalyx than those on the S. formosanus. Besides, the larvae feeding on H. pogonocalyx demonstrated lower constant value of effective accumulated temperature, suggesting that the new host may provide more energy to the larvae than the original host does. Two types of female oviposition preference seem to exist. No matter which hostplant the larvae fed on, the female adults still maintained the oviposition preference of the parental generation. Offspring of H. pogonocalyx-preferring female had better performance on this new hostplant. Our studies showed that the restoration of H. pogonocalyx might have caused primary differentiation of J. iphita iphita by using new hostplant in sympatry with the original hostplant.
瓦斯熱水爐一氧化碳觸媒轉化器之研究
瓦斯熱水爐使用大火時廢氣的CO 濃度非常高是導致一氧化碳中毒事件的關鍵原因，要解決這個問題觸媒轉化是一種可行的方式。影響觸媒性能的因素中以活性中心的種類最為重要，我們發現對轉化一氧化碳為二氧化碳的反應而言鈷有最好的催化效果，其次分別為：鎳、銅、鐵。最好的載體是三氧化二鋁，鈷的含量使用10％，煅燒溫度使用300℃可兼顧性能與成本。
本研究中所研發的 Co/Al2O3 觸媒具備有實用的潛力，可以在空間速度高達1000min-1 的情況下將濃度14,632ppm 的CO 百分之百轉化為CO2，而僅需233℃的反應溫度。因此，應該可以應用在瓦斯熱水爐上以降低一氧化碳中毒的風險。
The incorrect usage of a natural gas powered water heater always generates high carbon monoxide concentration in a closed environment. The dangerous CO gas can be fatal to the careless user of the water heater. Catalytic conversion of CO to CO2 can be a convenient method to solve this problem.
The effect of the support, the supported metal, loading of the metal, reaction temperature, gas concentration, and reactants flow rate on the performance of the CO oxidation catalysts have been investigated. X-ray diffraction, gas adsorption and Infrared spectroscopy were applied to study the characteristics of catalysts.
A 100% conversion of CO to CO2 can be achieved when 1.46% CO/6% oxygen/N2 reactants was catalyzed by a 10% Co/Al2O3 catalyst at 233℃ with a space velocity of 1000min-1 .
This reaction condition is sufficient to remove the entire CO generated by a family-sized natural gas water heater.
氣泡在黏滯性液體中的運動
本研究目的在探索不同大小之氣泡在不同黏滯性液體中運動情形。實驗結果發現大氣泡向上運動的速度較大，其下方會漸漸向內凹。並且觀察到氣泡間結合時的相互作用：氣泡在相同黏滯性膠水中上升時，若下方氣泡體積較大，其較快的速率會使距離縮短。此時小氣泡的下半向內凹，大氣泡的下半則向外呈現流線型尖端並且在接近小氣泡時速率增加，最後與小氣泡結合。若上方氣泡體積很小，與下方大氣泡的距離縮短至相互貼合，小氣泡會先停留在大氣泡的上半表面，再沿大氣泡表面下滑至大氣泡的下半才與大氣泡結合。This research traces the motions of bubble with different volume in viscid liquid. The experimental results show that the bigger bubble rises at faster speed. The shape of the small bubble is round. As the volume of the bubble increases, it turns hamburger-like. And if the bubble is big enough, its underside would be concaved. In viscid liquid, the speed of the bubble is not smooth but waved. The smaller the bubble is, the more the variation in speed is. The interaction of two bubbles is also studied. There are two types of the combination of two bubbles. While the big one closes to the small one, it is accelerated. The underside of the small one becomes concave. And the big one becomes streamline shape. If the difference in volume between two bubbles is significant, the small one slides along the surface of the big one, and goes into the concave beneath it, then combines with it.
隨機物體轉移過程的實驗時間之初探
有二系統A和B，A中一開始有2k個物體，，B中有0個物體。在一個單位時間內，兩系統可以互相轉移最多一個物體。當B中物體的個數為 i-1，i∈{1,2,...,k+1}，我們稱其為狀態 i，從狀態1﹝初態﹞開始計時，到達狀態 k+1﹝相同態﹞便即刻停止實驗，經過之時間為一隨機變數T，稱之為實驗時間。問當兩個系統的物體數剛好相等時，經過的實驗時間之分佈為何？本文將以上述問題為核心，分別探討不同條件下系統的實驗時間所反映出來的現象，如機率、期望值、變異數等等。
Define two systems, A includes 2k objects, and B has none. They can transfer at most one object from one system to another in a time unit. When the number of objects in B is i-1, i∈{1,2,...,k+1} , we say the system is at state i. As soon as system transfer form state 1 ( initial state ) to state k+1 ( the same state ), the experiment stop. Random variable T, called the experiment time, is the time before stop. What would be the distribution of the experiment time if all systems have the same amount of objects within? This article will focus on the described question and discuss what property the experiment time of the system under various conditions has, such as probability, mean, and variance.
酒杯發出之音符
When you draw a wet finger around the edge of a half filled wine glass, a sweet musical sound comes forth. The pitch of this sound is directly correlated to the amount of liquid in the glass- the higher the height of the liquid is, the lower the frequency is. It means that the shorter the air column in the glass is, the lower the frequency is. This phenomenon differs from the variance in pitch in a wind instrument. In a wind instrument such as a flute, the shorter the air column in its chamber is, the higher the resulting pitches are. In order to study the wine glass phenomenon, we used a piezoelectric crystal loudspeaker connected to an oscilloscope. We recorded the resulting data by using a digital video recorder to capture the images of the waveform of sound, and than analyzed the waveform by using the computer. Our conclusions are as follows: 1. The frequency of sound thus produced was the same whether we draw our finger around the rim, or we strike the glass rim. The higher the height of the liquid is, the lower the frequency is. But the frequencies vary when we strike the glass and when we blow on the edge. 2. When we used a glass without liquid in it, the frequency emitted when we drew our finger around the edge, this frequency varied inversely as the cube root of their weights. 3. In a glass with liquid, the emitted frequency did not have any correlation to the weight of the contents. By taking two identically filled glasses and placing in each a solid object of the same size but different weight, we were able to see that there was no change in the frequency emitted between the two glasses as long as the height of the liquid remained constant. 4. According to “The Flying Circus of Physics”, if we tap the side of a glass of beer, because of the air bubbles in the beer, the frequency emitted will be lower than that from a glass of pure water. This is according to the book, because the speed of sound is lower in air than in water, therefore the speed of sound in an air-water mixture would be lower than in pure water. The resonant frequencies of the mixture will also be lower. However, in our experiment, we discovered that\r when the glass contained air bubbles, the frequency emitted higher. Our explanation is that the sound emitted since the rim of the glass oscillated transversely, the frequency depends only on the retard of the rim and that the frequency is independent of the speed of sound. The intention of this research is to clarify the many misconceptions of this interesting phenomenon.以溼的手指在玻璃酒杯邊緣摩擦，會有悅耳的聲音，而且頻率會隨著內裝液體減少（空氣柱變長）而變高，這種變化與管樂器隨空氣柱的變長而音調變低不同，為了研究它的原因，我們利用壓電晶片喇叭連接到示波器上，並且利用數位錄影機錄下示波器上的訊號，再以電腦分析出瞬間的頻率，結果發現：一、摩玻璃杯與敲玻璃杯，杯所發出之頻率相同，都是所裝液體愈多發出之頻率愈低。但敲玻璃管與吹玻璃管所發出之頻率不同。二、不裝液體之高腳杯，摩擦時所發出之頻率與重量之立方根成反比。（與鐘相同）\r 三、裝液體之高腳杯發出之頻率，不再與總重量有關，而是與液體之高度有關，保持液體高度不變，即使在杯子中央加入不同重量之固體，杯子振動頻率還是不變。若改裝不同密度之液體，則密度愈大頻率愈低。四、在“The Flying Circus of Physics”書中提到輕敲裝有啤酒之杯時，會因杯中含有氣泡而聽到較低之音調，書中解釋是”空氣中之音速低於水中之音速，混有空氣之水中音速變低，其共振頻率也會降低。”但我們的實驗結果是有氣泡時頻率反而高。我們的解釋是杯子所發出之聲音是由於杯面之振動也就是杯壁的橫向振盪，振盪頻率與液體對杯壁之阻尼有關，但與液中聲速無關，密度愈大之液體阻尼愈大。有氣泡時接觸杯壁之液體變少，阻尼較少所以頻率高。希望本研究能使大多數人對這有趣之現象不再有誤解。