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能量 | 在生物學方面，能量是任何生物生存所必需的的。在生物體中，能量驅動了下至每一個細胞上至所有多細胞有機體所表現的生命現象。並透過如碳水化合物（醣類等），酯質和蛋白質等分子，儲存在細胞中，並在呼吸氧氣進而進行呼吸作用時，自化學鍵中釋放出來。以人類來說，人類的代謝當量（人體能量轉換）顯示，一定的能量消耗是被用來維持人類的新陳代謝。假設一個人類平均每天消耗 12500kJ，而以基礎代謝率 80 瓦。舉例來說，假設我們身體以 80 瓦消耗（平均）在運行，此時一個 100 瓦的燈泡的運作，就相當於人類 80 瓦的 1.25 倍（100÷80）。對於一個為時數秒的艱難任務，人類可以產生千瓦的功率；假設任務持續幾分鐘，一個正常人或許可以產生 1000 瓦特，如果在維持一小時活動的前提下，輸出功率大概下降到 300 左右，至於一整天的活動，150 瓦已經算相當大。人體的代謝當量，幫助我們了解能量在物理和生物系統間的變換，提供我們以具體化的指標。
這顯示生命體明顯低效率（以物理觀點來看）地使用得到的能量。而大部份的機械則能夠更有效地使用。一生命體將能量轉換成熱，最主要的目的是為了讓有機體的組織有序排列。根據熱力學第二定律，任何系統均有趨向混亂失序的傾向：為了要將能量（或物質）集中在一特定地方，需釋放更多的能量（如熱）到外界。以在維持自身結構的狀態下使整體的亂度滿足定律要求。
在食物鏈的的第一個環節裡，大約有 124.7Pg/a 的碳用來進行光合作用，64.3Pg/a（52%）的碳作為綠色植物代謝用途，即是轉換回二氧化碳和熱。
### 能量在地球科學方面的應用
在地質學方面，大陸飄移、山脈、火山和地震等自然現象，都可以根據能量在地球內部的轉換來解釋；而風、雨、冰雹、雪、閃電、龍捲風、颶風等氣象現象，是由太陽能作用在地球大氣，所造成的能量轉換的結果。
### 能量在天文學方面的應用
在物理宇宙學方面，恆星、新星、超新星、類星體、伽瑪射線暴等現象，都是物質所轉換的輸出能量。所有恆星（包括太陽）都是以質能轉換為能量來源的。星際氣體因引力聚縮，產生足夠壓力後便啓動了核融合反應，反應中總質量虧損，釋放出能量。
而太陽的能量最終有一部份傳播到地球上，驅動了從水循環到光合作用等現象，間接供給了所有參與碳循環的生命形式。 | [
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能量 | 創造宇宙的大爆炸同時釋放出巨大的能量，產生第一批的物質和反物質，隨著宇宙擴張，溫度下降，容許了夸克之間，核子之間的結合，最後允許原子核捕捉游離的電子，第一批原子於焉誕生。原本游離的電子雲於是消散，容許了最初的光傳播於宇宙中。
### 能量和功率的差別
功率並非和能量完全相同，功率是指能量轉換時的速率，（或者可說是功在執行時的速率）。因此一個讓水壩上的水通過渦輪機的水力發電廠，會將水的位能轉換成動能，最後再轉換成電能。在這過程中每單位時間所產生的電能便稱之為電功率。相同的總能量在更短的時間內通過會造成更大的功率。
## 能量的轉換
不同形式的能量間通常能透過工具的輔助而彼此轉換，例如電池能把化學能轉換成電能；水壩能把重力位能轉換成動能並最終透過發電機轉換成電能。相同的，在氧化反應的例子裡，化學能轉換成動能和熱能（有時包括光能和聲能）。鐘擺也是一例。鐘擺在最高點的動能為零而重力位能為最大值，但是在最低點的動能為最大值而重力位能為最小。假設鐘擺機件間沒有任何摩擦力，則能量之間的轉換是完美的，所以鐘擺將永遠保持擺盪。
### 能量與質量轉換守恆
在一個動量為零（mv=0 表示 v=0）的密閉系統中，能量（E=m $v^{2}$ /2）會使質量增加。質能方程式可以描述質量與能量的關係。公式 $E=mc^{2}$ ，是愛因斯坦用相對論的概念所推導出的，能量和質量之間的關係。在其他的理論中，類似的公式也被 J. J. Thomson（1881）、Henri Poincare（1900）、Friedrich Hasenohrl（1904）等人推算出來。（詳情請見質能等價）
物質可被轉換成能量（反之亦然），但能量不會被破壞；能量在任何物質和能量的轉換中都不會消失（只會化為質量的形式存在）。而相對於日常所接觸到的能量尺度來說 $c^{2}$ 是很大的，例如一公斤的物質全部轉換成能量（如熱，光或其他輻射）可以釋放極大量的能量 （~ $9\times 10^{16}$ 焦耳 = 21 百萬噸的 TNT），遠超過現行核反應器和核武器短時間內釋放的的能量。相反的，一單位能量僅相等於極小的質量，因此大部份的反應裡很難利用重量來計算質量的流失，除非其反應所牽涉到的能量非常巨大。
### 可逆和不可逆的轉換 | [
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能量 | 將能量轉換成有用的功是熱力學的重要課題。在大自然界裡，能量的轉換可以分成兩類：可逆的與不可逆的。可逆的熱力學過程不會有能量的損耗。例如，不同位能形式之間的轉換是可逆的，例如前文所提到的鐘擺運動。而當一個過程中有熱產生的時候，一部分的能量將不能完全恢復成可利用的能量，此時便歸類不可逆。
### 能量轉換和宇宙的年齡
隨著宇宙的演化，越來越多的能量被困在不可逆的狀態裡（如熱或其他無序的能量形式），這就是熱寂理論。熱寂理論是猜想宇宙最終命運的一種假說。根據熱力學第二定律，作為一個獨立系統，宇宙的熵會隨著時間的流逝而增加，由有序走向無序，當宇宙的熵達到最大值時，宇宙中的其他有效能量已經全數轉化為熱能，所有物質溫度達到熱平衡。這種狀態稱為熱寂。這樣的宇宙中再也沒有任何可以維持運動或是生命的能量存在。
### 陽光之於能量
陽光驅動了許多天氣現象。其中一個說明太陽驅動天氣的例子就是颱風，颱風發生在大面積且不穩定的溫暖海洋，當太陽加熱海水，蒸發上升的水氣釋放熱能，而形成持續幾天的活躍天氣系統，也就是颱風。太陽光也會被植物所吸收利用，在光合作用中轉換為化學能 (使二氧化碳和水轉換成高能量的化合物，如葡萄糖)。植物也會在光合作用的過程中釋放氧氣，而氧氣被生物所利用做為電子受體，用以釋放儲存在碳水化合物、脂類和蛋白質的能量。
## 能量守恆
能量必須遵守能量守恆定律。根據這個定律，能量只能從一種形式變為另一種形式而無法憑空產生或者是消滅。能量守恆是時間的平移對稱性得出的數學結論（參閱諾特定理）
根據能量守恆定律，流入的能量等於流出的能量加上內能變化。
此定律是物理界中相當基本的準則。依照時間的平移對稱性，宇宙中絕大部分現象都可以獨立於時間變化之外，因此想將昨天、今天和明天發生的現象區分開來，事實上是不可能的。
這是因為能量是時間的正則共軛（canonical conjugate）量，數學上它們便存在了不確定性：要在有限的時間間隔裡定義精確的能量值是不可能的。但這種不確定性不應該和能量守恆搞混。更準確來說，它提供了原則上可以被定義和測量的能量的數學極限值。
在量子力學中能量會以 Hamiltonian 算符來表示。在任何時間範圍裡，能量中的不確定性會以
: $\Delta E\Delta t\geq {\frac {\hbar }{2}}$ | [
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能量 | 來計算。這跟海森堡的測不準原理非常類似，但並非真正數學上的相同，因為 H 和 t 不論在古典或量子力學中皆不是共軛之變數.。
## 能量觀念的應用
能量必須遵守「守恆定律」，也就是說不論測量或計算一個粒子系統的能量，其粒子間的行為和時間無關，它的系統總能量永遠保持一定。
* 一個系統的總能量可以被細分成不同類型，並以不同方法來歸類。比方說，有時候把位能從動能區中區分開來會比較方便。也有時建立重力位能、電能、熱能和其他形式的能量是相對方便的。這些分類定義可能會重疊，像是熱能就可以由部分動能和部分位能所組成。
* 能量的轉換也有很多形式，常見的例子如：功、熱流和移流（advection），這部分會在下一個小節討論。
在古典物理中，能量被認為是一種純量，它和時間的導數有關。在狹義相對論中，能量亦是純量（雖然它不是勞倫茲純量（Lorentz scalar），但時間卻是四維動量中的組成份子之一）。換句話說，能量在空間的循環下是固定不變，但在不保證在時間和空間的循環下，依然是不變。
## 能量的傳輸
因為能量必須守恆，且只要能被定義，連局部的能量也將守恆。因為能量在系統與相鄰區域中的能量傳輸就是功。常見的例子就是機械功，僅考慮簡單的情境，可以將方程式寫成：
:
當沒有其它能量變化時， $E$ 代表所有傳輸的能量總合， $W$ 則代表系統內所作的功。
更普遍而言，能量傳輸可分為兩類：
:
其中 $Q$ 代表系統增加的熱能。
一個開放系統要得到或損失能量有許多方式，比如在一個化學系統中，可加入各種含有化學能的物質以增加能量；上緊時鐘的發條可以增加機械能，這些能都可以被增加到上述的方程式，它們都可被歸類在「能量增加項（ $E$ ）」（"energy addition term $E$ "）中， $E$ 表示穿過部分或系統的表面積的任何形式的能量。除了上述這些，還有許多例子，比方說增加粒子流的動能到系統中或是加入雷射光的能量到系統中，在此不討論加入的能量是作功還是熱能的形式。故可將方程式改寫成：
:
其中 E 代表其他外加能量，不包含系統所做的功或是外加的熱。
能量亦可從位能（ $E_{p}$ ）轉成動能（ $E_{k}$ ）再換回位能。這是因為力學能守恆。在這類型的封閉系統裡，能量不會增加或減少，因此初始的總能量和最終的總能量必定相同。它可被表示成：
: | [
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能量 | 由於 $E_{p}=mgh$ （質量乘以重力加速度乘以高度）和 $E_{k}={\frac {1}{2}}mv^{2}$ （質量的一半乘以速率平方），能量總值可透過將二者加起來 $E_{p}+E_{k}=E_{total}$ 求得。
## 能量和運動定理
古典力學中，因為能量是一守恆量，不論在概念或數學形式上它都是非常有用的特性。有些公式更是以能量為核心觀念而改進。
### 哈密頓等式
有時候一個系統的總能量可以用「哈密頓等式」來表示。不論是複雜或是抽象的系統皆可以以此表示之，這些等式和非相對性的量子力學有明顯的相似處。
### 拉格朗日量
另一和能量相關的觀念便是「拉格朗日量」。它甚至比哈密頓量更基本而且可用來導出運動方程式。這一詞是在古典力學中被發明，卻普遍使用於近代物理。「拉格朗日量」被定義成動能和位能的差。在非保守的系統中（像是有摩擦力的系統），拉格朗日量比哈密頓在使用上更方便。
### 諾特定理
諾特（第一）定理指出任何具有可微分的對稱性運動的物理系統都有一個相對應的守恆定理。
諾特定理是討論現代理論物理和變分法中相當重要且基本的工具。依照哈密頓等式和拉格朗日量所歸納出的方程式得知：諾特定理不適用於不遵守拉格朗日的系統。舉例來說，一個有連續對稱性但分散的系統是沒有相對應的守恆定律。
## 能量及熱力學
### 內能
內能是創造物體系統所必須的能量。它指的是系統中微觀能量的總和，而且和位能（比如說：分子結構、晶體結構及其他幾何結構）和微粒的運動產生的動能有關。熱力學主要在在討論內能的變化值，而非內能的絕對數值（絕對數值不可能單只靠熱力學即可決定）。
### 熱力學定律
根據熱力學第二定律，功可以完全轉換成熱，但反之不成立。這是由統計力學得出的結論。熱力學第一定律闡述能量是守恆的且熱算是能量的一種形式。常用來解釋熱力學第一定律的例子是壓力及熱的轉換。在這類系統中，能量的微小變化可以表示為：
: $\mathrm {d} E=T\mathrm {d} S-P\mathrm {d} V\,$ ，
右邊第一項代表轉換進入系統的熱能，為溫度（T）及熵（S）的函數（此系統在加熱過程中，熵會增加，且變化量 dS 是正值）；第二項則表示作用在系統的「功」（P 是壓力；V 是體積），冠以減號是因為功作用於壓縮系統時體積會改變，因此 dV 是負值。 | [
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能量 | 雖然這個式子常在熱力學被用作解釋能量守恆的範例，但它實際上可說是特例，因為所有熱以外的能量形式都必須忽略（比如說：化學能、電能和重力位能… 等），而且等式中有一個變數和溫度有關。最普遍的第一定律敘述（即能量守恆）是不需要考慮溫度的。能量有時會這樣表示：
: $\mathrm {d} E=\delta Q+\delta W$ ，
但嚴格來說這是不符合規定的，因為右側的 Q 和 W 無法用於熱力學的正式敘述裡。
### 能量均分定理
一個機械的簡諧振子所含有的能量在動能和位能間互相轉換而形成的簡諧振盪（例：彈簧系統）中，一個週期裡有會有兩個時間點是能量全部轉換成動能；兩個點全部轉換成位能。在一個或多個循環中，淨能會分布於動能與位能間。此稱為能量均分定理。一個有許多自由度的系統所含的能量會均分在所有有效的自由度中。
這個定理對於了解「熵」有很大的幫助，「熵」是評估能量於各部分系統亂度的方法。當一個孤立系統被給予更多自由度時（例：給系統一個新的能階，這個能階和舊的能階完全一樣），總能量會平均分給「所有」可用的自由度，不會因為是「新」或「舊」而有差別，這結果被稱為熱力學第二定律。
### 功和虛功
功是力乘以位移，也是能量的其中一種形式。
: $W=\int _{C}\mathbf {F} \cdot \mathrm {d} \mathbf {s} $
以上公式表示功（W）等同於力沿曲線 C 的線積分（詳情請見機械功的文章）。
### 量子力學
在量子力學中我們可以定義出能量運算子，而能量運算子跟波函數的時間微分有關係。薛丁格方程式中能量運算子等於粒子或是系統裡的所有能量，因此可將其定義成在量子力學中測量能量的方法。薛丁格方程式可以用來形容非相對論量子系統的波函數，此方程式在侷限系統中的解是不連續的，在這邊即可引入能階和量子的概念。對於振子和任何真空中的電磁波而言，薛丁格方程式的解所得到的能態與頻率有關，可由普朗克方程式 E＝hν（h 為普朗克常數，ν 為頻率）將它們作一個連結。因此，對電磁波而言這些能態稱為光的能量量子化或是光子。
### 相對論
當計算相對論中的動能時（一物質從靜止加速到一定速率所做的功）—— 需利用勞侖茲轉換而非牛頓力學，愛因斯坦由這些計算裡發現一意想不到的結果，就是有一能量項即使在速率為零時也不會是零。他將該項能量命名為靜止能量 —— 即使在靜止時，所有物質都具備的能量。能量的大小與物質質量成正比： | [
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能量 | : $E=mc^{2}$
其中
: m 為質量，
: c 為真空時的光速，
: E 為靜止能量，
例如，研究電子與正子的湮滅時，兩個單一粒子的靜止質量被銷毀了，產生沒有質量的慣性光子，但在慣性系統中仍具有兩個粒子的質量，仍符合能量守恆（由於所有的能量與質量有關）。相反地，兩個（或更多）的光子消滅會成對的產生電性相反的粒子。然而，在這些反應中系統的質量和能量總和並不改變。
在廣義相對論中，應力 - 能量張量（為描述能量與動量在時空中的密度與通量，其為牛頓物理中應力張量的推廣）為重力場的源，有點類似牛頓重力理論中質量是重力場源一般。
我們常常可以聽到能量「相等於」質量。更準確地說，每個能量其實都擁有慣性和萬有引力的等價項，因為質量也是一種能量形式，所以質量也與慣性和萬有引力有關。
從宏觀角度看：能量是憑藉質量而穩定存在的；從微觀而言：任何可觀測量的熵總是在不斷增加。
## 測量
由於能量被定義為物體做功的能力，因此沒有儀器能夠測量能量的確切值。能量只能夠在一系統的狀態轉變時被測量出來，因此能量是在一相對情況下才能被測量的。量測的起始點一般而言是可以任意選定的，如此一來可以更方便的簡化量測問題。
### 條件
測量能量的條件通常都是根據科學原理常用到的描述量，即質量、距離、輻射、溫度、時間、電荷和電流。
一般測量熱能使用的技術是熱量測定 —— 利用溫度計測量溫度或利用測輻射熱計測量輻射強度的熱力學技術。
### 能量密度
能量密度是用來表示在特定的系統或空間每單位體積的所儲藏之有用的能量。對於燃料而言，每單位體積的能量是很有用的參數。在一些應用中，如比較氫氣燃料和汽油的效率，氫氣比汽油具有更高的比能（specific energy，單位質量的能量）。但即使是在液態形式，氫的能量密度亦較低。
## 相關條目
* 功
* 內能
* 熵
* 焓
* 力
* 動量
## 備注
## 外部連結
* （英文）Conservation of Energy （頁面存檔備份，存於網際網路檔案館）
* （英文）能量與生活 （頁面存檔備份，存於網際網路檔案館）
* （英文）What does energy really mean? 物理世界 （頁面存檔備份，存於網際網路檔案館） | [
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電阻值 | 在電磁學裏，**電阻**是一個物體對於電流通過的阻礙能力，以方程式定義為
: $R\ {\stackrel {def}{=}}\ {\frac {V}{I}}$ ；
其中， $R$ 為電阻， $V$ 為物體兩端的電壓， $I$ 為通過物體的電流。
假設這物體具有均勻截面面積，則其電阻與電阻率、長度成正比，與截面面積成反比。
採用國際單位制，電阻的單位為歐姆（Ω，Ohm）。電阻的倒數為電導，單位為西門子（S）。
假設溫度不變，則很多種物質會遵守歐姆定律，即這些物質所組成的物體，其電阻為常數，不跟電流或電壓有關。稱這些物質為「歐姆物質」；不遵守歐姆定律的物質為「非歐姆物質」。
電路符號常常用 R 來表示，例: R1、R02、R100 等。
## 導體與電阻器
像電線一類的物體，具有低電阻，可以很有效率地傳輸電流，這類物體稱為「導體」。通常導體是由像銅、金和銀一類具有優等導電性質的金屬製造，或者次等導電性質的鋁。電阻器是具有特定電阻的電路元件。製備電阻器所使用的原料有很多種；應該使用哪種原料，要視指定的電阻、能量耗散、準確度和成本等因素而定。
### 直流電
在物理學裏，對於物質的微觀層次電性質研究，會使用到的歐姆定律，以向量方程式表達為
: $\mathbf {E} =\rho \mathbf {J} $ ；
其中， $\mathbf {E} $ 是電場， $\rho $ 是電阻率， $\mathbf {J} $ 是電流密度。
在導體內任意兩點 g、h，定義電壓為將單位電荷從點 g 移動到點 h，電場力所需做的機械功：
: $V_{gh}{\stackrel {def}{=}}\ {\frac {\mathrm {d} w}{\mathrm {d} q}}=\int _{g}^{h}{\mathbf {E} \cdot \mathrm {d} \mathbf {l} }=\rho \int _{g}^{h}{\mathbf {J} \cdot \mathrm {d} \mathbf {l} }$ ；
其中， $V_{gh}$ 是電壓， $w$ 是機械功， $q$ 是電荷量， $\mathrm {d} \mathbf {l} $ 是微小線元素。
假設，沿著積分路徑，電流密度 $\mathbf {J} =J{\hat {\mathbf {l} }}$ 為均勻電流密度，並且平行於微小線元素： | [
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電阻值 | : $\mathrm {d} \mathbf {l} =\mathrm {d} l{\hat {\mathbf {l} }}$ ；
其中， ${\hat {\mathbf {l} }}$ 是積分路徑的單位向量。
那麼，可以得到電壓：
: $V_{gh}=J\rho l$ ；
其中， $l$ 是積分路徑的徑長。
假設導體具有均勻的電阻率，則通過導體的電流密度也是均勻的：
: $J=I/a$ ；
其中， $a$ 是導體的截面面積。
電壓 $V_{gh}$ 簡寫為 $V$ 。電壓與電流成正比：
: $V=V_{gh}=I\rho l/a$ 。
總結，電阻與電阻率的關係為
: $R=\rho l/a$ 。
假設 $J>0$ ，則 $V>0$ ；將單位電荷從點 g 移動到點 h，電場力需要作的機械功 $w>0$ 。所以，點 g 的電位比點 h 的電位高，從點 g 到點 h 的電位差為 $-V$ 。從點 g 到點 h，電壓降是 $V$ ；從點 h 到點 g，電壓升是 $V$ 。
### 交流電
假設電線傳導的電流是高頻率交流電，則由於趨膚效應，電線的有效截面面積會減小。假設平行排列幾條電線在一起，則由於鄰近效應，每一條電線的有效電阻會大於單獨電線的電阻。對於普通家用交流電，由於頻率很低，這些效應非常微小，可以忽略這些效應。
## 測量電阻
電阻計是測量電阻的儀器。由於探針電阻和接觸電阻會造成電壓降，簡單電阻器不能準確地測量低電阻。高準確度測量工作必須使用四端點測量技術（four-terminal measurement technology）。
### 能帶理論概述
根據量子力學，束縛於原子內部的電子，其能量不能假定為任意數值，而只能占有某些固定能階，在這些能級之間的數值不可能是電子的能量。這些能級可以分為兩組，一組稱為導帶，另一組稱價帶。導帶的能級通常比較高一些。處於導帶的電子可以自由地移動於物體內部。
在絕緣體和半導體中，原子之間會相互影響，使得導帶和價帶之間出現能隙，電子無法處於能隙。為了要產生電流，必須給予電子相當大的能量，協助電子從價帶，跳過能隙，進入導帶。因此，即使對這些物質施加很大的電壓，產生的電流仍舊很小。
## 電阻種類
* 碳膜電阻
* 金屬氧化膜電阻
* 精密電阻
* 繞線電阻
* 水泥電阻
* 固定瓷管電阻
* 低感瓷管電阻
* 鋁殼精密電阻
* 光敏電阻：收到光線改變就會跟著改變電阻值的電阻 | [
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電阻值 | * 熱敏電阻
* 壓敏電阻
## 各種不同材料的電阻
### 金屬
金屬是一群原子以晶格結構形成的晶體，每個原子都擁有一層（或多層）由電子組成的外殼。處於外殼的電子能脫離原子核的吸引力而到處流動，形成一片電子海，使得金屬能夠導電。當施加電勢差（即電壓）於金屬兩端時，因為感受到電場的影響，這些自由電子會呈加速運動。但是每當自由電子與晶格發生碰撞，其動能會遭受損失，以熱能的形式將能量釋放，所以，電子的平均移動速度是漂移速度，其方向與電場方向相反。由於漂移運動，會產生電流。在現實中，物質的原子排列不可能為完全規則，因此電子在流動途中會被不按規則排列的原子散射，這是電阻的來源。
給予一個具有完美晶格的金屬晶體，移動於這晶體的電子，其運動等價於移動於自由空間、具有有效質量的電子的運動。所以，假設熱運動足夠微小，週期性結構沒有偏差，則這晶體的電阻等於零。但是，真實晶體並不完美，時常會出現晶體缺陷，有些晶格點的原子可能不存在，可能會被雜質侵佔。這樣，晶格的週期性會被擾動，因而電子會被散射。另外，假設溫度大於絕對零度，則處於晶格點的原子會發生熱震動，因而出現熱震動的粒子 —— 聲子 —— 移動於晶體。溫度越高，聲子越多。聲子會與電子發生碰撞，這過程稱為晶格散射（lattice scattering）。主要由於上述兩種散射，自由電子的流動會被阻礙，晶體因此具有有限電阻。
### 半導體和絕緣體
對於金屬，費米能級的位置在導帶區域內，因此金屬內部會出現自由的傳導電子。可是，對於半導體，費米能級的位置在能隙區域內。
本征半導體是未被摻雜的半導體，其費米能級大約為導帶最低值與價帶最高值的平均值。當溫度為絕對零度時，本征半導體內部沒有自由的傳導電子，電阻為無窮大。當溫度開始上升，高於絕對零度時，有些電子可能會獲得能量而進入傳導帶中；假設施加外電場，則這些電子在獲得外電場的能量後，會移動於金屬內部，因而形成電流。
雜質半導體是經過摻雜的半導體。靠著捐贈電子給導帶，或價帶接受電洞，外質半導體內部的雜質原子能夠增加電荷載子的密度，從而減低電阻。高度滲雜的半導體的導電性質類似金屬。在非常高溫度狀況，熱生成電荷載子的貢獻會超過雜質原子的貢獻；隨著溫度的增加，電阻會呈指數遞減。
### 離子液體／電解質
在電解質中，電流是由帶電的離子的流動產生，因此液體的電阻很受鹽的濃度所影響。譬如蒸餾水是絕緣體，但鹽水就是很好的導電體。 | [
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電阻值 | 在生物體內的細胞膜，離子鹽負責電流的傳送。細胞膜中的小孔道，稱為離子通道，會選擇什麼離子可以通過。這直接決定了細胞膜的電阻。
## 非歐姆元件
有些電路元件不遵守歐姆定律，它們的電壓與電流之間的關係（I-V 線）乃非線性關係。PN 接面二極體是一個顯明範例。如右圖所示，隨著二極體兩端電壓的遞增，電流並沒有線性遞增。給定外電壓，可以用 I-V 線來估計電流，而不能用歐姆定律來計算電流，因為電阻會因為電壓的不同而改變。具有這種特性的電阻或元件稱為「非線性電阻」或「非歐姆元件」。
非歐姆元件的常見實例包括二極體、氣體放電燈（螢光燈）、壓敏電阻等。
對於這類元件在特定電壓電流下的電阻量，使用 V-I 線的斜率（或是 I-V 曲線斜率的倒數） ${\mathfrak {r}}$ ，稱為小信號電阻（small-signal resistance）、增量電阻（incremental resistance）或動態電阻（dynamic resistance），定義為
: ${\mathfrak {r}}\ {\stackrel {def}{=}}\ {\frac {\mathrm {d} V}{\mathrm {d} I}}$ ，
此動態的電阻量適用於計算非歐姆元件，動態電阻的單位一樣也是歐姆。
## 溫度對電阻的影響
溫度對不同物質的電阻會有不同的影響。
### 導電體
假設溫度接近室溫，則典型金屬的電阻 $R$ 通常與溫度 $T$ 成正比：
: $R=R_{*}[\alpha (T-T_{*})+1]$ ；
其中， $R_{*}$ 是典型金屬在參考溫度為 $T_{*}$ 時的參考電阻， $\alpha $ 是電阻溫度係數。
$\alpha $ 是電阻變化百分比每單位溫度。每一種物質都有其特定的 $\alpha $ 。實際而言，上述關係式只是近似，真實的物理是非線性的；換句話說， $\alpha $ 本身會隨著溫度的改變而變化。因此，通常會在 $\alpha $ 字尾添加測量時的溫度。例如， $\alpha _{15}$ 是在溫度為 15 °C 時測量的電阻溫度係數；使用 $\alpha _{15}$ 為電阻溫度係數，則參考溫度 $T_{*}$ 為 15 °C，參考電阻為金屬在參考溫度為 15 °C 時的參考電阻，而且上述關係式只適用於計算溫度在 15 °C 附近的電阻 $R$ 。
稍加排列，這方程式又可表示為 | [
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電阻值 | : $\alpha ={\frac {R-R_{*}}{R_{*}(T-T_{*})}}$ 。
取 $R-R_{*}\to 0$ 的極限，則可得到微分方程式
: $\alpha ={\frac {1}{R_{*}}}\left({\frac {\mathrm {d} R}{\mathrm {d} T}}\right)_{*}$ 。
所以，在溫度為 $T_{*}$ 時，物質的電阻溫度係數是，其電阻對溫度的曲線在溫度為 $T_{*}$ 時的斜率，除以溫度為 $T_{*}$ 時的電阻。
於 1860 年代，奧古斯土・馬西森想出馬西森定則（Matthiessen's rule）。這定則表明，總電阻率 $\rho $ 可以分為兩個項目：
: $\rho =\rho _{d}+\rho _{p}$ ；
其中， $\rho _{d}$ 是由於晶體缺陷而產生的電阻率， $\rho _{p}$ 是由於聲子而產生的電阻率。
$\rho _{d}$ 與金屬內部的缺陷密度有關，是電阻率對溫度的曲線外推至 0K 時的電阻率。因此， $\rho _{d}$ 與溫度無關。 $\rho _{p}$ 等於 $\rho -\rho _{d}$ 。假若缺陷密度不高，則 $\rho _{p}$ 通常與缺陷密度無關。 $\rho _{p}$ 與電子跟聲子的碰撞率有關，而碰撞率與聲子密度成正比。假設溫度高於德拜溫度，則聲子密度與溫度成正比，所以， $\rho _{p}$ 與溫度成正比：
: $\rho _{p}=C_{h}T$ 、
: $\rho =\rho _{d}+C_{h}T$ ；
其中， $C_{h}$ 是比例常數。
這方程式等價於前面電阻與溫度的關係方程式。
假設溫度低於德拜溫度，則電阻與溫度的 5 次方成正比：
: $\rho _{p}=C_{l}T^{5}$ ；
其中， $C_{l}$ 是比例常數。
如右圖所示，當溫度接近絕對溫度時，黃金和白金的電阻趨向於常數；而當溫度小於 4.2K 時，水銀的電阻突然從 0.002 歐姆陡降為 10-6 歐姆，成為超導體。
### 半導體
溫度越高，本征半導體的導電性質越優良，電子會被熱能撞跳至導帶，從而可以自由的移動，也因而留下電洞於價帶，也可以自由的移動於價帶。這電阻行為以方程式表達為
: $R=R_{0}e^{-aT}$ ；
其中， $R_{0}$ ， $a$ 是常數。 | [
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電阻值 | 外質半導體的電阻對於溫度的反應比較複雜。從絕對零度開始，隨著溫度增加，由於載子迅速地離開施子或受子，電阻會急劇降低。當大多數的施子或受子都失去了載子之後，電阻會因載子的遷移率（mobility）下降而隨溫度稍為上升。當溫度升得更高，外質半導體的電阻行為類似本征半導體；施子或受子的載子數量超小於因熱能而產生的載子的數量，於是電阻會再度下降。
### 絕緣體和電解質
絕緣體和電解質的電阻與溫度一般成非線性關係，而且不同物質有不同的變化，故不在此列出概括性的算式。
### 超導體
某些材料在溫度接近絕對零度（-273.15°C）或極低的溫度時會出現超導現象，目前發現的超導體的最高溫度約是 203 克耳文（-70°C）。
## 應變對電阻的影響
導體的電阻受應變影響而改變。假設施加張力（一種應力的形式，會引起應變，即導體伸長）於導體，則導體沿張力的方向，其長度會增加，相對而言，導體於垂直張力方向的截面面積會減少。這兩種效應共同貢獻，使得受到張力的導體，其電阻會隨之增加。假設施加壓力，則由於壓縮（方向相反的應變：導體縮短，截面面積增加），導體應變部分的電阻會減少。應用這效應，應變計（strain gauge）可以測量物體的應變與所受張力。
## 參看
* 電測量（electrical measurements）
* 熱阻（thermal resistance）
* 薄膜電阻
* 量子霍爾效應，一種新的電阻測量標準。
* 近藤效應
* 四端點測量技術
## 參考文獻
## 外部連結
* 克萊門森大學車輛電子實驗室網頁：電阻計算機（英文） | [
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内积空间 | **內積空間**（英語：Inner product space）是增添了某種運算的向量空間，這種運算叫做內積，它推廣了原來歐幾里德空間的點積，而從比較一般的角度看待向量的「夾角」、「長度」還有正交性。
## 相關術語
內積空間有時也叫做**准希爾伯特空間**（pre-Hilbert space），因為由內積定義的距離完備化之後就會得到一個希爾伯特空間。
在早期的著作中，本條目所定義的內積空間被稱作**么正空間**，但這些著作裡的「內積空間」反而指的是有限維歐幾里德空間或可數維的 Lp 空間。
## 正式定義
下文中 $F$ 有可能是實數系 $\mathbb {R} $ 或複數系 $\mathbb {C} $ 。
$V$ 是一個定義在域 $\left(F,\,+,\,\times \right)$ 上的向量空間，其**向量加法**記為「 $\oplus $ 」 ，且其**純量乘法記**為「 $\cdot $ 」。若它裝配了一個二元函數 $f:V\times V\to F$ 滿足：（以下將 $f(v,\,w)$ 簡寫為 $\langle v,\,w\rangle $ ）
這樣的話，如果 $F=\mathbb {C} $ 則稱 $V$ 是個**複內積空間，**反之，若 $F=\mathbb {R} $ 則稱 $V$ 是個**實內積空間**。 $f$ 則被稱為定義在 $V$ 上的**內積**。
如果 $\langle v,\,w\rangle =0$ ，也可記為 $v\perp w$ ，並稱「 $v$ 與 $w$ 是**正交的**（perpendicular）」。
### 定義的分歧
為了與量子力學中的狄拉克符號的順序相符，以上線性部分的定義常常被物理學家顛倒過來，也就是
真正會造成影響的是第二條，因為在共軛對稱的前提下修改過的第一條會等價於原來的第一條（參考基本性質一節第一個定理）。但這樣會造成許多定理的內積順序**也要顛倒過來**才會成立，請讀者特別注意。
## 例子
### 實數的乘法
因為實數系 $\mathbb {R} $ 可以視是為定義在自己之上的向量空間，所以可以驗證： $\langle x,y\rangle :=xy$ 滿足內積的各種性質。
### 點積
歐幾里德空間 $\mathbb {R} ^{n}$ 的點積： | [
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内积空间 | : $\langle (x_{1},\ldots ,x_{n}),\,(y_{1},\ldots ,y_{n})\rangle :=\sum _{i=1}^{n}x_{i}y_{i}=x_{1}y_{1}+\cdots +x_{n}y_{n}$
是定義在 $\mathbb {R} ^{n}$ 上的一個內積。
## 基本性質
## 範數
以下根據內積定義的非負性部分，定義 $g:V\to [0,\,\infty )$ 為 $g(v)={\sqrt {\langle v,\,v\rangle }}$ ，並把 $g(v)$ 表記為 $\|v\|$ 。
根據上面的三角不等式， $g$ 的確是個定義在 $V$ 上的範數。**所以內積空間也是一個賦範向量空間**。這樣直觀上 $\|v\|$ 就是向量 $v$ 的長度。這樣內積定義的非退化部分，就可以直觀理解為「任意向量 $v\in V$ 為零向量，若且唯若其長度為零」。另外根據柯西 - 施瓦茨不等式，若 $\langle v,\,w\rangle \in \mathbb {R} $ ，可以把 $\langle v,\,w\rangle $ 跟點積做類比，也就是依據反三角函數的性質，對「 $v$ 和 $w$ 間的夾角」做如下的定義：
: $\angle (v,\,w):=\cos ^{-1}\left({\frac {\langle v,\,w\rangle }{\|v\|\|w\|}}\right)$
這樣柯西 - 施瓦茨不等式可以直觀理解成上述的定義與「 $cos{[\angle (v,\,w)]}=\pm 1$ 等價於 $v$ 和 $w$ 相互平行」。
## 完備化
如果 $V$ 是個複內積空間，可以定義一個函數 $d:V\times V\to \mathbb {R} $ 且 $d(v,\,w)=\|v\ominus w\|$ ，根據上面的三角不等式和內積定義， $(V,\,d)$ 的確是個度量空間。
在希爾伯特空間的文章中有一些內積空間的例子，其中引出自內積的度量誘導一個完備的度量空間。然而也存在誘導不完備度量空間的內積，比如在區間 $[a,b]$ 上連續複數值函數的空間 ${\mathcal {C}}[a,b]$ 上。內積是
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内积空间 | 這個空間是不完備的；比如考慮對於區間 $[0,1]$ ，考慮函數序列 $\{f_{k}\}_{k\in \mathbb {N} }$ ，其中
: $\forall k\geqslant 2,\;\;\;f_{k}(t)={\begin{cases}0,&\forall t\in [0,{\frac {1}{2}}]\\k(t-{\frac {1}{2}}),&\forall t\in ({\frac {1}{2}},{\frac {1}{2}}+{\frac {1}{k}}]\\1,&\forall t\in ({\frac {1}{2}}+{\frac {1}{k}},1]\end{cases}}$
每個 $f_{k}$ 都是連續函數，但 $\{f_{k}\}_{k\in \mathbb {N} }$ 在上面的內積誘導的拓撲中是不收斂於任何一個連續函數的柯西序列，因為它的極限不是連續的函數。
## 在內積空間上的算子
希爾伯特算子，共變異數算子
## 退化內積
## 引用
* S. Axler, _Linear Algebra Done Right_, Springer, 2004
* G. Emch, _Algebraic Methods in Statistical Mechanics and Quantum Field Theory_, Wiley Interscience, 1972.
* N. Young, _An Introduction to Hilbert Spaces_, Cambridge University Press, 1988 | [
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标准模型 | 在粒子物理學裏，**標準模型**（英語：**Standard Model**，**SM**）是描述強力、弱力及電磁力這三種基本力及組成所有物質基本粒子的理論，屬於量子場論的範疇，並與量子力學及狹義相對論相容。到目前為止，幾乎所有對以上三種力的實驗的結果都合乎這套理論的預測。但是標準模型還不是萬有理論，主要是因為還沒有描述引力。
## 歷史背景
1954 年， 楊振寧和羅伯特・米爾斯劃時代提出了非阿貝爾規範群理論（或稱 楊 - 米爾斯理論）。1961 年，謝爾登・格拉肖將弱力和電磁力統一起來考慮，發現電弱交互作用，不過謝爾登・格拉肖的模型缺陷是，沒有以楊 - 米爾斯場論為基礎，因此它缺少對稱性自發破缺的機制。在 1967 年，史蒂文・溫伯格和阿卜杜勒・薩拉姆將電弱統一理論建立在了楊 - 米爾斯場論的基礎之上，將希格斯機制引入格拉肖的弱電理論，從而得到了一個完美而自洽的理論，形成我們現在看到它的形式。希格斯機制被普遍的認為能夠解釋粒子的質量來源，包括 W 及 Z 玻色子、費米子（夸克，輕子和重子）。
1973 年發現由 Z 玻色子引起的弱中性流之後，電弱理論被廣泛的接受。由此貢獻，薩拉姆和溫伯格獲得 1979 年的諾貝爾獎。W 和 Z 玻色子在 1981 年被實驗所發現，而他們的質量已經被當時所逐步建立的標準模型預言了。
至於強交互作用的理論，大多在 1973-74 年做出進步：那會兒正是有關實驗得出成果的時候。強子所帶的分數電荷也是那時候驗證的。
## 標準模型的內容
標準模型共 61 種基本粒子（見表）包含費米子及玻色子 —— 費米子為擁有半奇數的自旋並遵守包立不相容原理（這原理指出沒有相同的費米子能佔有同樣的量子態）的粒子；玻色子則擁有整數自旋而並不遵守包立不相容原理。簡單來說，費米子就是組成物質的粒子而玻色子則負責傳遞各種作用力。
電弱統一理論與量子色動力學在標準模型中合併為一。這些理論都是規範場論，即它們把費米子跟玻色子（即力的中介者）配對起來，以描述費米子之間的力。由於每組中介玻色子的拉格朗日函數在規範變換中都不變，所以這些中介玻色子就被稱為規範玻色子。標準模型所包含的玻色子有：
* 膠子 - 強交互作用的媒介粒子，自旋為 1，有 8 種
* 光子 - 電磁交互作用的媒介粒子，自旋為 1，只有 1 種
* W 及 Z 玻色子 - 弱交互作用的媒介粒子，自旋為 1，有 3 種 | [
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] |
标准模型 | * 希格斯粒子 - 引導規範群的自發對稱性破缺，與費米子有湯川耦合，亦是慣性質量的源頭。
實際上規範玻色子的規範變換是可以準確地利用一個稱為「規範群」的酉群去描述。強交互作用的規範群是 SU (3)，而電弱作用的規範群是 SU (2)×U (1)。所以標準模型亦被稱為 SU (3)×SU (2)×U (1)。
在眾玻色子中，只有希格斯玻色子不是規範玻色子。而負責傳遞引力交互作用的玻色子 —— 引力子則未能被包括在標準模型之中。
標準模型包含了十二種「味道」的費米子。組成大部份物質三種粒子：質子、中子及電子，當中只有電子是這套理論的基本粒子。質子和中子只是由更基本的夸克，受強作用力吸引而組成。以下的標準模型的基本費米子：
費米子可以分為三個「世代」。第一代包括電子、上及下夸克及電微中子。所有普通物質都是由這一代的粒子所組成；第二及第三代粒子只能在宇宙射線或是高能實驗中製造出來，而且會在短時間內衰變成第一代粒子。把這些粒子排列成三代是因為每一代的四種粒子與另一代相對應的四種粒子的性質幾乎一樣，唯一的分別就是它們的質量。例如，電子跟緲子的自旋皆為半整數而電荷同樣是 - 1，但緲子的質量大約是電子的二百倍。
電子與電微中子，以及在第二、三代中相對應的粒子，被統稱為輕子。夸克擁有一種叫「色」的量子性質，並且與強作用力耦合。強作用力不同於其他的作用力（弱力、電磁力、重力），會隨距離增加變得越來越強。由於強作用力的色禁閉特性，夸克永遠只會在色荷為零的組合中出現（如介子、重子），這些不同的組合被統稱為「強子」。
目前實驗中確認的強子有兩種：由三顆夸克組成的費米子，即重子（如質子及中子）；以及由夸克－反夸克對所組成的玻色子，即介子（如 π 介子）。而由更多夸克所組成的四夸克態、五夸克態等奇異強子，目前實驗上的結果仍有爭議。
### 標準模型費米子列表
本列表一部分根據粒子數據團隊（Particle Data Group）的資料。
### 標準模型參數 | [
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标准模型 | 標準模型中含有 19 個自由參數，只能由實驗來確定。包括三個規範耦合常數： $g_{3},g,g'$ ，再加上 9 個費米粒子質量和 4 個 CKM 矩陣混合相角，另外三個是 $v$ ，_λ_（希格斯場 VEV（真空期望值）和希格斯自耦合強度，或等價於 $M_{Z},m_{H}$ ) 和 QCD $~\theta $ 參數。若微中子有質量需擴展標準模型 ，假如微中子是一種馬約拉納粒子（目前還不清楚），則至少需增加 9 個參數：3 個微中子質量和 6 個混合角。
## 測試及預測
在 W 玻色子、Z 玻色子、膠子、頂夸克及魅夸克被發現前，標準模型已經預測到它們的存在，而且對它們性質的預測與實驗數據高度吻合。
希格斯粒子作為由標準模型預測的基本粒子，於 2012 被歐洲核子研究組織的大型強子對撞機發現。至此標準模型所預測的所有基本粒子都被發現。
## 標準模型的推廣
雖然標準模型對實驗結果的解釋很成功，但它也有很大的缺陷。首先，模型中包含了許多參數，如各粒子的質量和各交互作用強度。這些數字不能只從計算中得出，而必須由實驗決定。弱電對稱破缺還沒有滿意的解釋。再次，理論中存在所謂的自然性問題。最後，這理論未能描述引力。
首個與標準模型不相符的實驗結果在 1998 年出現：日本超級神岡微中子探測器發表有關微中子振蕩的結果，顯示微中子擁有非零質量。標準模型的簡單修正（引入非零質量的微中子）可以解釋這個實驗結果。這個新的模型仍叫做標準模型。
大統一理論是標準模型的一個擴展。它假設 SU (3)、SU (2) 及 U (1) 群其實是一個更大的對稱群的成員。只有在高能狀態（比現時實驗能達到的能量還要高）這個對稱性才能保存；在低能狀態，它自發破缺到 SU (3)×SU (2)×U (1)。第一個大統一理論（SU (5) 大統一）是由 Georgi 及 Glashow 於 1974 年提出的。其它流行的還有 SO (10) 和 E (6) 大統一模型。
解決自然性問題的主要方案包括藝彩理論（technicolor theory），超對稱模型，額外維度等等。超弦模型則是描寫包括引力在內所有基本現象的終級理論的最主要代表。
許多標準模型的擴展都預言了質子衰變。這一現象至今沒有為實驗所證實。
## 參閱
* **主要題目**：未解決的物理學問題、大一統理論、萬有理論、宇宙論、非標準宇宙論、物理學、物理學歷史、科學政策
* **理論物理學**：弦論、規範場論 | [
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] |
标准模型 | * **粒子物理學**：光子、電子、基本粒子、規範玻色子、味、緲子、中性子、微中子、希格斯玻色子、重子數、輕子數、太陽微中子問題、光微子
* **概念**：超對稱、基本交互作用、精細結構常數
* **重要實驗**：中子電偶極矩、超環面儀器、大型離子對撞機實驗
## 備註
## 參考文獻
## 外部連結
* New Scientist story: flaws found in the Standard Model? （頁面存檔備份，存於網際網路檔案館）
* short article on standard models of physics and cosmology, F. Wilczek （頁面存檔備份，存於網際網路檔案館）
* 粒子冒險奇境 （頁面存檔備份，存於網際網路檔案館） | [
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现代油画 | **現代油畫**指 20 世紀的油畫，20 世紀科技飛速發展，相對論和量子力學的出現打擊了人們對經驗世界的認識，世界再也不只是你看到的那樣，而是抽象的想像。攝影和現代印刷使得任何描繪對象的繪畫相形見拙。所以繪畫開始向另一個方向發展，即不再力求描畫客觀世界（這是繪畫本來的目的），而是轉而表現畫家的主觀世界，欣賞一幅繪畫，再也不能想像「畫的是什麽？」而是表現「誰畫的？」。每一個畫家都力求表現自己的風格，而不是力求將對象表現的更像一些。繪畫開始和攝影分道揚鑣。在 20 世紀，除了前蘇聯和文化大革命前中國的畫家還在堅持現實主義畫派外，全世界所有的畫家都在轉型。都在追求自己的風格，出現了形形色色的各種流派，以至出現了「動物畫家」、「精神病人畫家」等各式各樣的新聞，其中也不伐短時間的逆潮流，如超現實主義畫派。但是新的潮流也為色彩研究和裝飾藝術提供了許多研究成果。美術的前途又在向原始藝術回歸。
## 連結
北京索洛亞國際文化藝術交流有限公司：中華世紀壇世界藝術館 2009 年 7 月 28 日歐洲西班牙當代油畫展覽 | [
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主义列表 | **主義**（英語：doctrine, principle，常用後綴「–ism」表示），代表理念或有完整體系的思想和信念，也可視為實現不同目標的不同方法。若於政治理論中，冠以「主義」此一後綴，往往具有「思想、運動、體制」三種互為相關之內容。
## 列表
以下是以漢語拼音排列的**主義**列表。
## A
* 阿拉伯民族主義
* 阿拉伯社會主義
* 阿里烏主義
* 阿民念主義
* 愛國主義
* 愛爾蘭共和主義
* 愛爾蘭民族主義
* 艾森豪主義
* 愛滋病否認主義
* 安達盧西亞民族主義
* 奧費主義
* 奧林匹克主義
## B
* 巴斯克民族主義
* 白人民族主義
* 白人至上主義
* 白人主義
* 拜金主義
* 柏柏爾主義
* 斑點主義
* 半伯拉糾主義
* 包浩斯主義
* 保護主義
* 保守改良主義
* 保守自由主義
* 保守主義
* 悖論主義
* 悲觀主義
* 本本主義
* 本土主義
* 本位主義
* 本質主義
* 畢達哥拉斯主義
* 庇隆主義
* 邊際主義
* 變性女性主義
* 辯證唯物主義
* 表現主義
* 波希米亞主義
* 玻利瓦爾主義
* 博愛主義
* 伯拉糾主義
* 柏拉圖主義
* 勃列日涅夫主義
* 部分肉食主義
* 不帶形容詞的無政府主義
* 不可能主義
* 不結盟主義（不結盟運動）
* 不可知主義
* 布朗基主義
* 布列塔尼民族主義
* 部落主義
## C
* 財政保守主義
* 操作主義
* 長槍黨主義
* 徹底經驗主義
* 超級寫實主義
* 超國家主義
* 超人道主義
* 超人類主義
* 超驗主義
* 超現代主義
* 超現實主義
* 朝鮮民族主義
* 抽象表現主義
* 承認主義
* 成年主義
* 重建主義
* 粗野主義
* 傳統主義
* 純粹主義
* 純素食主義
* 純素食無政府主義
* 存疑主義
* 存在主義
## D
* 達達主義
* 達爾文主義
* 大漢族主義
* 大艦巨砲主義
* 大美國主義
* 大同主義
* 大男子主義
* 大眾超現實主義
* 大眾女性主義
* 戴高樂主義
* 單邊主義
* 單元主義
* 蛋素食主義
* 道德懷疑主義
* 道德絕對主義
* 道德普遍主義
* 道德相對主義
* 道德虛無主義
* 道德主義
* 德意志民族主義
* 德國唯心主義
* 德國新人文主義
* 德萊昂主義
* 鄧小平理論
* 笛卡爾主義
* 第二波女性主義
* 滴色主義
* 狄托主義
* 帝國主義
* 地方主義 | [
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] |
主义列表 | * 地方民族主義
* 第三波女性主義
* 第三世界女性主義
* 第三位置主義
* 點描主義
* 東方主義
* 動物主義
* 多邊主義
* 多瑪斯主義
* 多馬主義
* 多元主義
* 多元文化主義
* 杜魯門主義
* 獨神主義
## E
* 俄羅斯民族主義
## F
* 法國民族主義
* 法國女性主義
* 法律實證主義
* 法律形式主義
* 法西斯主義
* 反出生主義
* 反帝國主義
* 反獨裁主義
* 反法西斯主義
* 反觀念主義
* 反共主義
* 反教權主義
* 反美主義
* 反民族主義
* 反現實主義
* 反寫實主義
* 反修正主義
* 反猶主義
* 反智主義
* 反資本主義
* 泛阿拉伯主義
* 泛非主義
* 泛伊斯蘭主義
* 泛凱爾特主義
* 泛神主義
* 泛美洲主義
* 泛蒙古主義
* 泛民族主義
* 泛日耳曼主義
* 泛斯堪地那維亞主義
* 泛斯拉夫主義
* 泛泰主義
* 泛突厥主義
* 泛西班牙主義
* 泛伊朗主義
* 泛伊斯蘭主義
* 梵蒂岡主義
* 放蕩主義
* 放任自由主義
* 仿薩滿主義
* 非道德主義
* 非理性主義
* 非凡主義
* 費邊主義
* 廢除主義
* 分產主義
* 分隔主義
* 分離主義
* 分散主義
* 分體虛無主義
* 分析馬克思主義
* 分享主義
* 風格主義
* 否認主義
* 佛教社會主義
* 副現象主義
## G
* 格瓦拉主義
* 改良主義
* 感覺主義
* 革命社會主義
* 隔離女性主義
* 隔離主義
* 個人女性主義
* 個人無政府主義
* 個人主義
* 共產主義
* 共產主義恐怖主義
* 共和主義
* 工具主義
* 工團主義
* 功利主義
* 功能主義
* 公民民族主義
* 觀點主義
* 管理主義
* 構成主義
* 國際共產主義
* 國際情境主義
* 國際主義
* 國家干預主義
* 國家工團主義
* 國家社會主義
* 國家中心主義
* 國家資本主義
* 國家主義
* 國有社會主義
* 國族主義
* 果食主義
* 過現代主義
* 孤立主義
* 古典保守主義
* 古典自由主義
* 古典主義
* 古拉什共產主義
* 規範主義
## H
* 哈林文藝復興主義
* 漢族沙文主義
* 好政府主義
* 合理利己主義
* 和平主義
* 赫耳墨斯主義
* 赫魯雪夫主義
* 黑人女性主義
* 黑人優越主義
* 後共產主義
* 後過程主義
* 後結構主義
* 後馬克思主義
* 後女性主義
* 後人類主義 | [
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] |
主义列表 | * 後物質主義
* 後現代主義
* 後殖民女性主義
* 胡志明思想
* 懷疑主義
* 環境保護主義
* 幻想現實主義
* 幻想主義
* 荒誕主義
* 貨幣主義
* 活化生食主義
* 霍查主義
* 胡薩克主義
## J
* 基督教法西斯主義
* 基督教社會主義
* 基督教共產主義
* 基督教國教主義
* 基督教基要主義
* 基督教恐怖主義
* 基督教民主主義
* 基督教無政府主義
* 基督教錫安主義
* 極端主義
* 基進女性主義
* 激進女性主義
* 激進主義
* 極簡主義
* 極權主義
* 集權主義
* 集體主義
* 機械唯物主義
* 機能主義
* 基要主義
* 寂靜主義
* 技術中心主義
* 加爾文主義
* 加利西亞民族主義
* 加泰隆尼亞民族主義
* 教皇權威主義
* 教權主義
* 教條主義
* 價值多元主義
* 漸進主義
* 建構主義
* 簡化主義
* 簡約主義
* 矯飾主義
* 結構主義
* 解構主義
* 結果主義
* 捷克斯洛伐克主義
* 金日成金正日主義
* 進步保守主義
* 進步主義
* 禁欲主義
* 經典自由主義
* 經濟自由主義
* 精確主義
* 經驗主義
* 精神主義
* 精英主義
* 精粹主義
* 酒精主義
* 舊保守主義
* 具象主義
* 絕對主義
* 軍國主義
* 軍事凱恩斯主義
* 君主主義
## K
* 卡拉瓦喬主義
* 卡洛斯主義
* 卡斯楚主義
* 卡特主義
* 康德義務主義
* 客觀唯心主義
* 客觀主義
* 科學主義
* 科學社會主義
* 科學現實主義
* 凱恩斯主義
* 凱末爾主義
* 凱山・豐威漢思想
* 恐怖主義
* 空想社會主義
* 苦行素食主義
* 庫特布主義
* 跨文化主義
* 跨性別女性主義
* 狂熱主義
* 擴張主義
* 酷兒民族主義
## L
* LGBT 保守主義
* 盧森堡主義
* 拉馬克主義
* 浪漫民族主義
* 浪漫主義
* 勞動女性主義
* 勞工錫安主義
* 勞工主義
* 樂觀主義
* 雷根主義
* 利己主義
* 歷史唯物主義
* 歷史修正主義
* 歷史虛無主義
* 歷史主義
* 利他主義
* 立體主義
* 李森科主義
* 理想主義
* 理性主義
* 聯邦主義
* 聯結主義
* 量子神秘主義
* 列寧主義
* 領土收復主義
* 羅馬教主義
* 邏輯經驗主義
* 邏輯實證主義
* 邏輯正確主義
* 邏輯主義
* 綠色工團主義
* 綠色無政府主義
## M
* 馬蓋先主義 | [
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主义列表 | * 馬基維利主義
* 馬克思女性主義
* 馬克思主義
* 馬克思列寧主義
* 麥卡錫主義
* 蠻橫主義
* 毛主義
* 蒙博托主義
* 貿易保護主義
* 馬列毛主義
* 美帝國主義
* 美國保守主義
* 門羅主義
* 密契主義
* 免費素食主義
* 民粹主義
* 民主邦聯主義
* 民主社會主義
* 民主主義
* 民族保守主義
* 民族布爾什維克主義
* 民族恐怖主義
* 民族沙文主義
* 民族無政府主義
* 民族虛無主義
* 民族資本主義
* 民族自由主義
* 民族中心主義
* 民族主義
* 魔幻現實主義
* 漠視主義
## N
* 拿來主義
* 納粹主義
* 奶蛋素食主義
* 奶素食主義
* 南斯拉夫主義
* 男性至上主義
* 男性主義
* 年齡主義
* 檸檬社會主義
* 農本主義
* 農業主義
* 農業恐怖主義
* 諾斯底主義
* 女本位主義
* 女人主義
* 女同性戀女性主義
* 女性主義
## O
* 奧費主義
* 歐西坦尼亞民族主義
* 歐洲共產主義
* 歐洲懷疑主義
* 歐洲中心主義
* 歐陸自由主義
## P
* 排外主義
* 平等主義
* 平均主義
* 普遍主義
* 普京主義
* 普救主義
* 普世主義
* 皮浪主義
* 片面主義
* 樸野主義
## Q
* 啟蒙主義
* 喬治主義
* 歧視殘疾主義
* 千禧年主義
* 親歐洲主義
* 情感主義
* 全球主義
* 全體主義
* 犬儒主義
* 區域主義
* 缺席主義
* 裙帶資本主義
## R
* 人本主義
* 人道主義
* 人格主義
* 人類中心主義
* 人文主義
* 認知主義
* 日本法西斯主義
* 日本軍國主義
* 日本民族主義
* 肉麻主義
* 肉食主義
## S
* 撒丁民族主義
* 三民主義
* 新三民主義
* 桑卡拉主義
* 沙皇主義
* 沙文主義
* 薩滿主義
* 商業主義
* 社會保守主義
* 社會達爾文主義
* 社會帝國主義
* 社會建構主義
* 社會民主主義
* 社會女性主義
* 社會無政府主義
* 社會現實主義
* 社會自由主義
* 社會主義寫實主義
* 社會主義
* 社群主義
* 社團主義
* 神秘主義
* 聖經直譯主義
* 事大主義
* 世俗人文主義
* 世俗主義
* 生命平等主義
* 生食主義
* 生素食主義
* 生態恐怖主義
* 生態女性主義
* 生態社會主義
* 生態資本主義
* 生存主義
* 生物恐怖主義
* 升學主義
* 失敗主義 | [
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主义列表 | * 食果實主義
* 世界主義
* 士林主義
* 實驗主義
* 實用主義
* 實證主義
* 屬地主義
* 數學直覺主義
* 僧伽羅佛教民族主義
* 史達林主義
* 斯多噶主義
* 絲絨女性主義
* 斯特拉瑟主義
* 塑造主義
* 蘇菲主義
* 蘇格蘭民族主義
* 素食主義
## T
* 台灣民族主義
* 彈性素食主義
* 狄托主義
* 同性戀民族主義
* 投機主義
* 圖蘭主義
* 妥協主義
* 托洛茨基主義
* 托馬斯主義
## U
## V
## W
* 瓦哈比主義
* 外光主義
* 完美主義
* 完全素食主義
* 王朝社會主義
* 文化保守主義
* 文化帝國主義
* 文化女性主義
* 文化民族主義
* 文化取消主義
* 文化虛無主義
* 文化自由主義
* 文藝復興人文主義
* 威權主義
* 威爾斯民族主義
* 唯美主義
* 唯心主義
* 唯物女性主義
* 唯物主義
* 未來主義
* 衛斯理主義
* 無神主義
* 烏托邦主義
* 無產階級國際主義
* 無政府主義
* 無政府共產主義
* 無政府工團主義
* 無政府女性主義
* 無政府資本主義
* 物理主義
## X
* 小女人主義
* 小資產階級社會主義
* 小政府主義
* 西方馬克思主義
* 西方秘契主義
* 西方主義
* 西西里民族主義
* 錫安主義
* 現代保守主義
* 現代自由主義
* 現代主義
* 憲法愛國主義
* 享樂主義
* 現實主義
* 現實主義 (國際關係)
* 憲政主義
* 先驗主義
* 現象主義
* 相對承認主義
* 相對主義
* 象徵主義
* 消費主義
* 辛狄卡主義
* 辛納屈主義
* 新奧斯曼主義
* 新保守主義
* 新表達主義
* 新表現主義
* 新柏拉圖主義
* 新達爾文主義
* 新法西斯主義
* 新黑格爾主義
* 新古典主義
* 新洪堡特主義
* 新康德主義
* 新吉納主義
* 新即物主義
* 新經院主義
* 心理利己主義
* 心理主義
* 心靈女性主義
* 新歷史主義
* 新馬克思主義
* 新民族主義
* 新納粹主義
* 新民主主義
* 新實證主義
* 新塑造主義
* 新托馬斯主義
* 新新聞主義
* 新行為主義
* 新直覺主義
* 新自由主義
* 新殖民主義
* 信仰主義
* 性別女性主義
* 性解放女性主義
* 性別歧視主義
* 性別主義
* 形上學唯物主義
* 形而上自然主義
* 形式主義
* 行為主義
* 行動主義
* 修正主義
* 虛無主義 | [
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] |
主义列表 | * 序列主義
* 漩渦主義
* 血統主義
## Y
* 亞里斯多德主義
* 亞流主義
* 亞馬遜女性主義
* 亞細亞主義
* 嚴格素食主義
* 楊森主義
* 耶穌會主義
* 擬人主義
* 一國保守主義
* 一國社會主義
* 伊比利亞主義
* 伊斯蘭主義
* 伊斯蘭法西斯主義
* 伊斯蘭恐怖主義
* 伊斯蘭民主主義
* 伊斯蘭女性主義
* 伊斯蘭神秘主義
* 伊斯蘭社會主義
* 伊斯蘭原教旨主義
* 義大利民族主義
* 異性戀至上主義
* 異性戀主義
* 印象主義
* 英國保守主義
* 英美自由主義
* 英雄主義
* 擁女主義
* 庸俗唯物主義
* 永恆主義
* 猶太復國主義
* 猶太恐怖主義
* 原教旨主義
* 原始共產主義
* 原型女性主義
* 越山主義
* 右翼民粹主義
* 右翼自由意志主義
## Z
* 左翼共產主義
* 左翼民粹主義
* 左翼民族主義
* 左翼無政府主義
* 折衷主義
* 照相寫實主義
* 整體主義
* 政治行動主義
* 政治自由主義
* 資本主義
* 字母主義
* 中國國家主義
* 中國民族主義
* 中國中心主義
* 中國特色社會主義
* 中華聯邦主義
* 中立主義
* 中間主義
* 中世紀主義
* 中心主義
* 重農主義
* 重商主義
* 重言主義
* 種族主義
* 脂肪女性主義
* 直覺主義
* 直觀主義
* 殖民主義
* 至上主義
* 自動主義
* 自然主義
* 自我主義
* 自我中心主義
* 自由保守主義
* 自由社會主義
* 自由素食主義
* 自由戀愛主義
* 自由主義女性主義
* 自由市場環境主義
* 自由意志保守主義
* 自由意志女性主義
* 自由意志社會主義
* 自由意志主義
* 自由主義
* 自治主義
* 自治社會主義
* 主觀唯心主義
* 主觀主義
* 主題中心主義
* 主知主義
* 專制主義
* 綜合主義
* 宗教排外主義
* 宗教人文主義
* 宗教社會主義
* 宗派主義
* 宗座缺出主義
* 族群主義
* 族群中心主義
## 參考資料
## 外部連結
* 國立編譯館 — 學術名詞資訊網
* 陳力衛：〈「主義」概念在中國的流行及其泛化（頁面存檔備份，存於網際網路檔案館）〉。
## 參見
* 政治意識形態列表
* 政治光譜 | [
-0.04330804944038391,
0.08593658357858658,
0.2743035554885864,
-0.10134623944759369,
0.25527238845825195,
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溶液 | **溶液**（英語：Solution），又稱為**單一相均勻混和物**（英語：Homogeneous Mixture），是將一種純物質以分子或離子的狀態均相、穩定的分布在另一種純物質得到的分散體系；可能是固態、液態或是氣態甚至是其組合；可能導電也可能不導電；可能是固體、膠體或具流動性。溶液不是純物質，不具有一定的組成及一定的性質。但是組成溶液的粒子均勻，肉眼上無法分辨，也無法用傾析法分離組成物。儘管如此，所有的溶液仍可以在物理或化學方法的範圍內分離出內容物。
溶液形成，物質分散的過程稱為溶解。在溶解的過程中，有沒有發生變化的、體積最大的、量多的叫做溶劑，水是最常見的溶劑，故通常將水溶液簡稱為溶液。除了溶劑以外的、量少的叫做溶質，溶劑可以是乙醇、汽油、苯等有機化合物。每升溶液中所含溶質的物量稱為濃度；溶質在穩定態下所能達到的最大濃度稱為溶解度；濃度低於溶解度的稱為未飽和溶液，濃度等於溶解度的稱為飽和溶液，濃度大於溶解度的稱為過飽和溶液。常見的溶液包括:
## 溶液的性質
### 溶解
溶解是指溶劑分子和溶質分子或離子吸引並結合的過程。 當離子溶解時，它們會散布開來並被溶劑分子包裹。 離子越大，能包裹它的溶劑分子就越多。 有時，溶解會產生放熱、吸熱的現象。
#### 濃度
濃度 (英語：Concentration)，是指一定量溶液或溶劑中，一溶質的量。常見表示法包括:
* 質量百分濃度（亦稱質量分數， $P\%$ 或 $W\%$ ）：溶質重除以溶液重，換算為百分比，單位為 $\%$ 。最常見。
* 體積百分濃度（亦稱體積分數， $V\%$ ）：溶質體積除以溶液體積，換算為百分比，單位為 $\%$ 。常用於酒精和有機溶液。
* 體積莫耳濃度（簡稱莫耳濃度， $C_{M}$ ）：每一公升溶液中，所含溶質莫耳數，單位為 $M$ 。常用於液體。
* 質量莫耳濃度（ $C_{m}$ ）：每一公斤溶劑，所含的溶質莫耳數，單位為 $m$ 。較少見。
* 百萬分濃度（亦稱百萬分點濃度、百萬分點濃度，ppm）：指每 1000 克溶液所含的溶質質量（以毫克計）。常用於濃度極低者。
* 十億分濃度（亦稱十億分點濃度、十億分點濃度，ppb）：指每 1000 克溶液所含的溶質質量（以微克計）。常用於濃度極低者。
* 莫耳分率 ( $X$ )：溶質莫耳數除以溶液的總莫耳數。常用於氣體。 | [
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溶液 | * 當量濃度 ( $C_{N}$ ): 每一公升溶液中的溶質當量數，單位為 $N$ 。常用於滴定實驗。
* 質量濃度 ( $M/V$ ）：指每單位體積的溶液中，溶質的質量。較少見。
值得注意的是，在討論溶液時，「濃」和「稀」兩術語任意用於表明一溶液含相當少或相當多的溶質，但他們之間並無一定界線。此二名詞常與「未飽和」和「飽和」混淆，但這兩組名詞所欲表達的性質根本不同。舉例來說，硫酸鋇的飽和水溶液極稀，溶解度 $\mathrm {diluted} \ (0.002g/L\ \mathrm {H_{2}O} ,18^{\circ }\mathrm {C} )$ ；但飽和的硫代硫酸鈉卻很濃，溶解度 $\mathrm {concentrated} \ (500g/L\ \mathrm {H_{2}O} ,25^{\circ }\mathrm {C} )$ 。
#### 加成性
非理想溶液下，溶質溶解後的體積並沒有加成性；且不同的溶質溶解後的體積縮小率不同。其中，溶解後體積增大的稱為**正偏差溶液**，體積減少的稱為**負偏差溶液**。
### 溶解度
溶解性或溶解度（英語：Solubility）是指一種物質能夠被溶解的最大程度。溶解度主要取決於溶質在溶劑中的溶解平衡常數 (溶度積)、溫度、極性、和壓力；相同溶質在不同溶劑下的溶解度不盡相同；相同溶劑在不同溶質下的溶解度不盡相同；即便是相同的溶質和溶液，在不同的環境因素下溶解度也不盡相同。
#### 互溶性
若二物質能無限制量相互溶解，稱其為無限互溶；若溶解度有限制，稱為部分互溶；若溶解度極小，稱為不互溶。
### 理想溶液
宏觀下，任一組分在全部濃度範圍內都符合拉午耳定律的溶液稱為理想溶液。理想溶液在分子尺度上，各分子的大小及作用力彼此相似，當一種分子被另一種取代時，沒有能量的變化或空間結構的變化，符合加成性。
## 固體溶液
固溶體也稱作固體溶液，是指溶質原子溶入溶劑晶格中而仍保持溶劑類型的合金相。通常以一種化學物質為基體溶有其他物質的原子或分子所組成的晶體，在合金和矽酸鹽系統中較多見，在多原子物質中亦存在。當溶劑的晶體結構添加溶質後可以穩定存在且保持均相，則該種混合物可以被視作溶液。
一些混合物可以在很多種濃度情況下形成固溶體，而有一些混合物根本不能形成固溶體。兩種物質混合而形成固溶體的傾向是一個複雜的事情，涉及化學、晶體學及量子物理學。
## 液體溶液
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溶液 | 水溶液是指溶劑是水的溶液。在化學反應中，若反應物或生成物為水溶液，一般會在其化學式右下方加上 $_{(aq)}$ 識別。例如食鹽 $NaCl$ 的水溶液，會用 $NaCl_{(aq)}$ 表示。由於水是自然界蘊含豐富的良好溶劑，因此在化學中常用到水溶液。具有疏水性的物質不溶於水中，而具有親水性的物質才能形成水溶液。像食鹽即為親水性的物質。若依照酸鹼游離理論，酸和鹼也是親水性物質。物質是否溶於水，主要是根據物質和水之間是否可以產生強大的吸引力，而且需要大於水和水之間的分子間作用力。若將無法溶於水的固體物質加入水中，則會產生沉澱。
### 電解質溶液
電解質溶液中有能夠自由移動的離子，因此能導電。
### 膠體溶液
## 氣體溶液
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新视野号探测器 | **新視野號**（New Horizons，不要錯誤的翻譯成**新地平線號**），是美國國家航空暨太空總署旨在探索矮行星冥王星（在發射時間仍然被認為是一顆行星）和古柏帶的行星際機器人太空飛行器任務，它是第一艘飛越和研究冥王星和它的衛星，冥衛一、冥衛二和冥衛三的太空探測器。NASA 可能還會批准它飛越一個或兩個古柏帶天體。任務概要是由美國西南研究院首席研究員艾倫・斯特恩所領導的一個團隊提出。
經過在發射地點的幾個延誤後，新視野號於 2006 年 1 月 19 日在卡納維爾角發射，直接進入地球和太陽逃逸軌道，在最後關閉引擎時相對於地球的速度是 16.26 公里 / 秒，或 58,536 公里 / 小時（10.10 英里 / 秒或 36,373 英里 / 小時）。因此，它是有史以來以最快的發射速度離開地球的人造物體。2015 年 7 月 14 日新視野號飛越冥王星系統。隨後，新視野號將繼續進入古柏帶。
經過與小行星 132524 APL 一個短暫的相遇後，新視野號飛往木星，在 2007 年 2 月 28 日使得其最接近木星的距離為 2.3 × 106 公里（1.4 × 106 英里）。木星飛掠提供重力助推給新視野號的速度增加了 4 km/s（14,000 km/h；9,000 mph）。木星相遇也被用來作為新視野號科技性能的全面測試，傳回關於行星的大氣層，衛星和磁層的數據。在飛掠木星後，探測器繼續前往冥王星。在木星後的大部分旅行中，太空飛行器是處於休眠模式度過，以保護太空飛行器上的系統。在 2006 年 9 月，新視野號第一次拍攝了冥王星，其次是在 2013 年 7 月拍攝了區分冥王星和它的衛星冥衛一作為兩個單獨的對象的圖像。無線電信號從新視野號太空飛行器旅行到地球需要用 4 個多小時。
格林威治時間 2015 年 7 月 14 日上午 11 時 49 分，新視野號接近冥王星 12,500 公里，為旅程中最接近冥王星的位置。 它成為了第一艘探索冥王星的太空飛行器。
協調世界時 7 月 15 日 00 時 52 分 37 秒（美國東部時間 7 月 14 日 20 時 52 分 37 秒），美國國家航空暨太空總署收到了新視野號傳來的訊息，證實了探測器在預定的時間成功地飛越了冥王星，探測器各方面的運作一切正常，和先前預料的一樣。
2019 年 1 月 1 日，新視野號探測器近距離飛掠小行星「天涯海角」進行探測。
## 背景
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新视野号探测器 | * 位於冥王星附近時的功率：228 瓦特
* 位於冥王星時數據傳輸率：768bps
* 發射時間：2006 年 1 月 19 日
* 計劃耗資：5.5 億美元
「新視野」號原定於 2006 年 1 月 17 日美國東岸時間下午 1 時 24 分，在美國佛羅里達州卡納維爾角空軍基地第 41 發射臺發射，但因地面強風和負責該項目之霍普金斯大學應用物理實驗室的控制中心突然停電的原因，兩度推遲昇空。至 1 月 19 日美國東岸時間下午 2 時 00 分，卡納維爾角上空雲層逐漸散去，氣候條件適合發射，「新視野」號終在原定發射昇空時間遲半小時後，順利點火發射昇空。45 分鐘後脫離第三段火箭，離開地球引力，朝木星飛去。其航程途經木星，借用木星引力加速，然後直奔冥王星。它在 2015 年 7 月 14 日最為接近冥王星。
#### 發射窗口
2006 年 1 月 11 日至 2 月 14 日之間一段「發射窗口」時間內，發射一枚探測船飛往冥王星。於 2007 年 2 月經過木星，利用木星引力加速直奔冥王星，已於 2015 年 7 月到達，全程需時九年多。
#### 載具
新視野號探測船以美國擎天神 V551 型火箭攜帶，在美國佛羅里達州卡納維爾角空軍基地發射站發射，將探測器推出外太空，再由半人馬座（Centaur）火箭送入繞地軌道，最後由星 48B 型（STAR 48B）固體燃料火箭衝出地球引力，飛向冥王星。
新視野號將成為人類有史以來最快速的人造飛行物體，它飛越月亮繞地球軌道不用九個小時，到達木星引力區只須 13 個月時間，相對 1960 年代「阿波羅」登月任務相同航程要飛行三天時間，「伽利略號 (Galileo) 」飛抵木星亦需四年時間而言，「新視野號」航速可謂十分驚人。
#### 第二次發射窗口
「新視野號」探測船若未能在 2006 年 2 月 2 日前發射，而在 2 月 14 日「發射窗口」限期前出發，則探測船就不能經過木星，而需直接飛往冥王星。因未能藉助木星重力加速，故需較長飛行時間，最快要 2018 年才能到達。錯過今次「發射窗口」，下一次將會是 2007 年 2 月 2 日至 15 日。探測船直飛冥王星，已在 2019 年到達。
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新视野号探测器 | 探測船在 2015 年 3 月（即到達前四個月）開始收集冥王星及它的衛星冥衛一的資料。2015 年 7 月 14 日，探測船最接近冥王星。探測船在冥王星南半球約 9,600 公里（六千英哩）處高速掠過。而凱倫當時在冥王星另一側，探測船需經過冥王星後，回頭再探測凱倫。探測船飛離冥王星後，觀察工作持續十個星期。而一切對冥王星的探測於九個月後結束，觀察記錄都傳送回地球。
#### 古柏帶任務
在探測過冥王星後，探測船會前往位於古柏帶直徑約 40 公里至 90 公里的天體。探測船已在 2016 年進入古柏帶。
2015 年 8 月，2014 MU69 被選為新視野號於 2019 年 1 月飛掠探測的天體。該探測器於 2019 年 1 月 1 日穿越。
## 探測船的設計與結構
整個「新視野」探測船的設計，是按照美國太空署近年推行小型化、低成本，及多功能的指引而製成。全艘探測船分為三個主要部分：即動力系統，包括提供全艘探測船所有電力的核能電池，以及調節探測船位置的引擎。通訊系統，包括高增益天線及低增益天線，是與地球保持聯絡的裝置。科學平台，是安裝所有探測儀器的地方，提供有效使用儀器的工作環境，以及保護脆弱的儀器。
### 動力系統
全艘「新視野」探測船的動力皆來自兩台核能電池 - 放射性同位素熱電機（RTG），這台發電機利用放射性同位素二氧化鈽自然衰變時所釋放出來的熱能，以電熱隅形式發電。由於冥王星距離太陽太遠，陽光由太陽去到冥王星需要四小時，在冥王星附近能接受的太陽能只及地球千分之一，探測船無法利用太陽能產生充夠的能量供活動所需，因此核能電池是唯一的選擇。為避免放射線傷及電子儀器，所以必須降低電力（僅 228 瓦特）。其實，所有外太陽系探測船都採用相同的設計，包括「卡西尼號」探測船。
探測船有一台引擎提供轉向動力，用以調節探測船相位，在差不多十年多航行時間之間，可以修正飛向冥王星的軌道。當探測船接近冥王星時，要調校船身以便所有探測儀指向冥王星。當飛越過冥王星之後，又要調校船身以便觀察凱倫，待完成探測後，又要再轉校船身，使高增益天線指向地球，將收集到的數據送回地球。這個設計是由於預算所限，「新視野」探測船不可以像它的前輩「航海家」一、二號一樣，使用旋轉式平台，可以較簡單的執行指令，而只能以調節船身相位這個較複雜方法來完成任務。
### 通訊系統 | [
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新视野号探测器 | 「新視野」探測船安裝了一隻直徑 2.1 米（83 英吋）的高增益天線，能夠與地球的深空網路保持聯繫，接收來自地球的指令，以及將收集得到的科學資料輸送回去地球。另外安裝在高增益天線正上方的是低增益天線，是高增益天線的後備，以備不時之須。高增益天線有兩條頻帶收發訊號，頻譜寬濶，上傳下載速度高，相比之下，低增益天線只有一條窄頻帶，效率較低，但是在緊急情況之下，可以頂替高增益天線的工作。該碟型天線也能充當屏障，擋下迎面來的碎屑、微粒，不會損及天線功能而保護設備。
### 科學平台
新視野號探測器本身像一個倒置三角形，三角形尖部延出部分為核動力裝置，三角形平面一方則為通訊裝置，而三角形本身就是安裝所有探測儀器的科學平台。探測船載有七種科學探測儀器，它們分別是：
#### Ralph：可見光與紅外線成像光譜儀
**可見光與紅外線成像光譜儀**（Ralph telescope）主要用於拍攝冥王星及凱倫的地表情況，提供高清晰的彩色影像，從而分析研究冥王星和凱倫地表的物理現象及組成成份，製成地表地圖。儀器分為兩部份，一為可見光相機 MVIC，另一為線性光波長鎖定光譜計 LEISA，兩者共同使用一支 6 厘米（三吋）鏡頭，用以調校焦距，收集影像。
可見光相機使用 CCD 電荷藕合裝置，是近年所有外太空巡遊探測船的標準設備。影像通過鏡頭後，再經過四層濾鏡，在電荷藕合器成像。濾鏡分別有專用作觀察甲烷的濾鏡，其餘則為一般用途的藍、綠、及近紅外線濾鏡。透過製作地表地圖，可以明瞭冥王星及凱倫過去的歷史。
線性光波長鎖定光譜計，利用量度熱輻射光譜，而獲得物質成份及組成的資料。根據量子物理學，每一種物質都有它自己獨特的光譜，猶如人類的指紋，量度光譜就可知道是何種物質。從哈伯太空望遠鏡觀察得知，冥王星表面以甲烷、氮、一氧化碳及冰成份為主，而凱倫則主要是冰。當探測器接近它們時，透過光譜計觀察，可能會發現更多其他物質。
#### REX：電波科學實驗 | [
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新视野号探测器 | **電波科學實驗**（Radio Science Experiment, REX）實際上是一組安裝在通訊系統內的電路板，主要是穩定由地球傳過去的下載訊號，確保資料不會遺失，是一組非常重要的裝置。而另一個作用，就是用作外太空電波科學實驗，測試有關遠距離通訊技術。REX 接收由美國太空署的深空網路傳過來的訊號，然後將訊號經由高增益天線傳回返地球，科學家比較前後同一個訊號的差別，就能了解知道當中因為太陽風、輻射源、磁力場及重力波所產生的影響，求得出有關數據。
當探測船飛到冥王星的後面，接收或傳返地球的訊號都會穿越過冥王星的大氣，電波會被大氣中的氣體分子的重量、高度及溫度的不同而有所改變。REX 將這些改變了的訊號記錄下來，然後傳返地球，有助了解冥王星大氣層、遊離層的結構、壓力、及溫度。REX 還有一種輻射計的工作模式，可以量度微弱的冥王星自己發射出來的電波。當探測船飛越冥王星之後，這些測量可以準確提供冥王星背向太陽一面的溫度資料。
#### Alice：紫外線成像光譜儀
**紫外線成像光譜儀**（"Alice"）能測量由冥王星及凱倫輻射或反射出來的紫外線，得出冥王星及凱倫大氣、地表的組成、分佈、溫度的裝置。Alice 有兩種工作模式，一為探測大氣光模式，是當探測船接近及離開冥王星時使用，直接量度由冥王星及凱倫的大氣輻射或反射出來的紫外線，是較多時間使用的工作模式。另一種模式是測量掩食光模式，是當探測船飛過冥王星之後，進入冥王星日蝕陰影區時，即被冥王星星體遮掩太陽光的地方，利用量度透過冥王星大氣的太陽光，求得大氣的成份、溫度、及濃度的分佈。
#### LORRI：長距離探測成像儀
**長距離探測成像儀**（Long Range Reconnaissance Imager, LORRI）為探測船提供詳細的空間資料，即是探測船本身在航行中精確的位置。從觀察特定的星體，比較有關資料，得出探測船在某一點精細準確的位置及相位，從而指令探測船作出相應的調整。
成像儀有一支直徑 20.8 厘米（8.2 吋）的鏡頭，同樣以 CCD 電荷藕合裝置成像。結構相比於 Ralph 影像及紅外線成像儀 / 分光計簡單得多，全組儀器並無濾鏡及活動部份。當飛臨冥王星時，成像儀同時拍攝冥王星表面影像，精細度為 100 米乘 100 米，大小略大於一個足球場面積。
#### SWAP：太陽風分析儀 | [
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新视野号探测器 | **太陽風分析儀**（Solar Wind Around Pluto, SWAP）是分析在冥王星附近由太陽吹過來的粒子─太陽風，可以探測到冥王星是否有磁場。若而是有磁場存在，就可以得知它的範圍、強弱，以及冥王星大氣中氣體粒子逃逸的速度。
#### PEPSI：離子質譜儀
**離子質譜儀**（Pluto Energetic Particle Spectrometer Science Investigation, PEPSI）是用來測量冥王星陽離子與中性粒子組成、同位素組成等的裝置。從觀察冥王星大氣層頂部的中性粒子被太陽風所激化，而逃離冥王星大氣層的現象，可以推算出冥王星大氣的化學成份。
#### VBSDC：「威妮夏・伯尼」宇宙塵分析儀
**「威妮夏・伯尼」宇宙塵分析儀**（Venetia Burney Student Dust Counter, VBSDC）是由美國科羅拉多州立大學師生主導的研究項目，裝置可以分析探測船在飛往冥王星沿途所收集太陽系各區的宇宙塵，測量及比較這些漂浮粒子的物理及化學性質。離開冥王星之後，研究會繼續，並且成為人類歷史上首次接觸到古柏帶的物體。
名字中的 VBS 指的是「Venetia Burney Student」，源於為當年尚是學生，而為冥王星取名的威妮夏・伯尼女士之名。
* * * * *
### 其他資料
* 全艘探測船包括推進劑在內，重約 450 公斤（一千磅）
* 核能發電機是由美國能源部提供
* 保溫瓶式設計的船艙，確保所有儀器機械，可以在安全的環境中工作
* 首次使用的船載再生測距存儲器，將多獲取三十 dB 的數據
* 使用八種不同的識別信號，來顯示探測船的健康狀態
* 先進的數碼接收器可以節省 60％耗電量
* 裝備有三維立體相位及陀螺儀
* 利用十六個噴嘴來控制船身位置，以便修正航道、觀察目標、改變方向接近古柏帶天體。
* 使用改良的「冬眠」裝置，可以節省寶貴的燃料包括核能電池
* 其他主要輔助儀器包括有：星蹤導航儀及資料數據記錄器等
* 攜帶有冥王星發現人克萊德・湯博（Clyde William Tombaugh）的部分骨灰。
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] |
新视野号探测器 | 在 2006 年 1 月 28 日和 30 日，在任務控制人員引導下進行第一次的軌道校正和儀器測試 (trajectory correction maneuver，TCM)，過程分為兩個部分 (TCM-1A and TCM-1B)。這兩次修正使速度總共變化了 18m/s，TCM-1 精確的校正使得 TCM-2 的校正，三次校正計畫中的第二次，得以取消。
在 2 月 20 日那一週內，控置人員進行 3 個機載科學儀器，Alice 紫外線造影分光計、PEPSSI 離子質譜儀、LORRI 長距離探測成像儀，的首次飛行測試。在沒有科學測量或影像被獲得的情況下，只是儀器的電子設備測試，在 Alice 的例子中，顯示機電系統都能正常的運作。
在 3 月 9 日 1700 UTC，控制人員執行 TCM-3，三次校正計畫中的最後一次。引擎點燃了 76 秒，將太空飛行器的速度大約調整了 1.16 m/s。
在 2007 年 9 月 25 日 16:04 EDT，引擎再度點燃 15 分又 37 秒，改變了太空飛行器的速度 2.37 m/s。
在 2010 年 6 月 30 日 7:49 EDT，任務控制人員對新視野號進行了第四次的軌道校正，經過 35.6 秒使太空飛行器加速了約 0.44 m/s。
## 飛越火星和小行星帶
在 2006 年 4 月 7 日 10:00 UTC，太空飛行器飛越火星軌道，以大約 21 公里 / 秒的速度遠離太陽，與太陽的距離是 2 億 4,300 萬公里。
新視野號在 2006 年 6 月 13 日 04:05 UTC 以 101,867 公里的距離飛越小行星 132524 APL (早先所知的臨時名稱是 2002 JF56 )。目前對這顆小行星直徑的最佳估計值是大約 2.3 公里，新視野號對 APL 的光譜觀測顯示它是一顆 S - 型小行星。
太空飛行器在 2006 年 6 月 10-12 日成功的追蹤這顆小行星，並由 α 望遠鏡 (α 影像及紅外線成像儀 / 分光計) 觀測影像，這讓任務小組能夠測試太空飛行器追蹤快速移動中天體的能力。
## 木星重力助推
新視野號的長距離探測成像儀 (LORRI) 在 2006 年 9 月 4 日拍下了第一張的木星照片，並於 2006 年 12 月開始對木星系統做進一步的研究。 | [
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新视野号探测器 | 新視野號在 2007 年 2 月 28 日 5:43:40 UTC 最接近木星時得到木星的重力助推。它以每秒 21 公里的相對速度接近木星 (相對於太陽是 23 公里 / 秒)。飛越木星讓新視野號遠離太陽的秒速增加了 4 公里，使太空飛行器以更快的速度航向冥王星，並以 2.5 度的傾角飛離地球的軌道面（黃道）。到了 2009 年 11 月，太陽的引力作用已經使太空飛行器的速度減緩至大約 16.656 公里 / 秒 。新視野號是自 1990 的尤里西斯號 (Ulysses) 任務展開之後，第一艘發射後直接朝向木星航行的太空飛行器。
在觀測木星的同時，新視野號的儀器也對木星的內側衛星進行精細的觀測，特別是阿曼爾。探測器的照相機從 2006 年 9 月 4 日開始觀測木星系統，測量埃歐的火山和仔細的研究 4 顆伽利略衛星，也研究外側距離遙遠的希馬利亞和艾華拉。太空飛行器也研究木星的小紅斑和這顆行星稀薄的環系統。
### 木星觀測
在深入觀測木星的 4 個月期間，最接近木星的距離是以 32 木星半徑 (300 萬公里)。木星是有趣的，它不停地在變化，自伽利略任務結束後仍間歇性的被觀測。新視野號的儀器採用了最新的技術，特別是照相機的領域。相較於從水手號計畫衍生出來的航海家號的版本改進的伽利略號的相機，已經改善了許多。與木星的接觸還擔任了與冥王星接觸的預演，因為木星與地球的距離較近，做為通訊連結的記憶體緩衝區可以傳輸較多的負載。實際上，這個任務送回來的木星資料會比從冥王星送回來的多。木星的影像從 2006 年 9 月 4 日開始，之後還拍攝了一些。
接觸的主要目標包括木星雲層的動力學，但比伽列略號的觀測程式精簡了許多，並且從木星磁層的磁尾中讀取質點的資料。這艘太空飛行器的軌道在磁尾內運行了一個月。新視野號還觀察了木星黑夜側的極光和閃電。
新視野號也提供了長圓形 BA (木星上的一個風暴特徵，非正式的名稱是 "小紅斑") 的第一張特寫，因為這個在卡西尼號經過時仍是白點的風暴變紅了。
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新视野号探测器 | 主要的衛星 (伽利略衛星) 在不利於觀測的位置上，意味著重力助推的瞄準點，使太空飛行器在距離這些衛星數百萬公里之外飛越。不過，新視野號的儀器是為了小且昏暗的目標設計的，所以還是能對那些遠距離的大衛星進行有科學價值的觀測。LORRI 搜尋到埃歐上火山的煙羽；紅外線能力卓越的 LEISA 搜尋到化學的成分 (包括歐羅巴的冰參雜物) 和夜晚側的溫度 (包括埃歐)。Alice 的紫外線解析出大氣中，包括埃歐的托環，極光。
像阿馬塞爾這樣的小衛星，則改進了軌道的精確度。照相機確定了它們的位置，並做為反像光學導航之用。
## 接近冥王星
新視野號在 2006 年 9 月 21-24 日測試 LORRI 時，首度捕捉到冥王星的影像，並在 2006 年 11 月 24 日釋出
。這張影像從距離冥王星 42 億公里 (26 億英里) 遠處拍攝，確認太空飛行器能夠追蹤遙遠的目標，這對航向冥王星和開普帶中的其它天體是極為重要的。
新視野號於 2015 年 7 月 14 日從不到 10,000 公里的距離飛越冥王星，成為首個成功飛掠冥王星系統的人造飛行物。任務中，新視野號向地球發送了大量的冥王星及其矮行星系統的照片。
## 古柏帶任務
在飛越冥王星之後，新視野號將繼續深入古柏帶。任務規劃師正在尋找直徑在 50 至 100 公里這個範圍內的古柏帶天體，進行類似與冥王星接觸一樣的飛越。囿於有限的機動能力，這一階段的任務只能尋找靠近新視野號飛行路徑上的合適古柏帶天體，而排除了任何企圖飛越像鬩神星這種比冥王星大的海王星外天體的計畫。可能的區域將會是之前努力搜索海王星外天體時未曾涵蓋過的區域，和避免過於接近銀河系的平面，因為這會使暗淡的天體難以被偵測到。
由於新視野號的飛行路徑是由掠過冥王星的航線決定的，加上剩餘的聯氨燃料有限，合適的古柏帶天體需在從冥王星延伸出的小於一度的圓錐區域內找到，而且距離不能大於 55 天文單位。一旦超過了 55 天文單位，所有的通訊信號會變得過於薄弱，而且放射性同位素熱電機（RTG）電功率會顯著衰減以至於影響到科學觀測。 | [
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新视野号探测器 | 2014 年 10 月 15 日，美國國家航空暨太空總署用哈伯望遠鏡進行搜索後發現了三個潛在目標，新視野號工作小組把它們的代號分別定為 2014 MU69（PT1, 潛在目標 1），2014 OS393（PT2, 潛在目標 2）以及 2014 PN70（PT3, 潛在目標 3）。所有目標的直徑都估計在 30 到 55 公里之間，這樣小的體積用地面的望遠鏡是無法看到的。它們到太陽的距離在 43 到 44 天文單位間，因此新視野號的掠過時間大約在 2018 年－2019 年間。從新視野號的燃料預算來進行初步預計，這三個目標被探測器到訪的可能性分別是 100%, 7% 和 97%。它們均是低軌道傾角和低軌道離心率的傳統古柏帶天體，和冥王星有很大的不同。
## 里程碑
## 現況
2012 年 10 月 16 日，隨著工作小組透過哈伯太空望遠鏡發現冥王星的兩顆新衛星和眾多星體碎片，新視野號團隊發表了一篇文章，指新視野號在飛越冥王星的時候，有可能毀於冥王星衛星軌道中的星體碎片，所以現在工作小組正研究是否要改變新視野號的軌道，去避免和這些碎片碰撞，以保護新視野號。
2013 年 5 月 16 日，工作小組計算過新視野號和冥王星衛星系統的軌道後，得知新視野號的路徑和冥王星衛星系統的軌道面接近垂直。也就是說，新視野號和新發現的衛星相撞的機會大減，只有在最接近時的風險較高，約 0.3% 的風險造成會中止任務的撞擊。因此，工作小組表示不會對既定路線做大規模變更。
目前探測器以相對於太陽 14.52 公里 / 秒，相對於冥王星 13.77 公里 / 秒的速度飛行。從探測器發出的無線電波需歷時 4 個半小時才能到達地球。 從探測器看到的太陽星等是−19.2。
探測器正朝著射手座的方向進發。
探測器最新的資訊和圖片發佈在美國國家航空暨太空總署官方網站上。
## 參見
* 新視野二號
* 飛往太陽系外的飛行器
* 航海家 1 號
* 航海家 2 號
* 先鋒 10 號
* 先鋒 11 號
* 冥王星
* 冥衛一
* 古柏帶
* 非載人宇宙飛船
* 太陽系探測器列表
* 無線電掩星
## 參考資料
## 外部連結
* 官方網站
* NASA 歷年任務之新視野號頁面
* 官方博客
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新视野号探测器 | * SwRI's New Horizons Science Team Web Site （頁面存檔備份，存於網際網路檔案館）（英文）
* Final Report of the New Horizons II Review Panel （頁面存檔備份，存於網際網路檔案館）（英文） | [
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強核力 | **強交互作用**（又稱**強力**或**強核力**）是作用於強子之間的力，是已知四種基本作用力中最強的，也是作用距離第二短的（大約在 10-15 m 範圍內，比弱交互作用的範圍大）。另外三種交互作用分別是引力、電磁力及弱交互作用。核子間的核力就是強交互作用。它抵抗了質子之間的強大的電磁力，維持了原子核的穩定。強交互作用也將夸克基本粒子結合成為質子及中子等強子，這也是組成大部份物質的粒子。而且一般質子或中子裡，大部份的質能是以強交互作用場能量的形式存在，夸克只提供了 1% 的質能。
強交互作用可以在二個地方看到：較大的尺度（約 1 至 3 飛米）下，強交互作用將質子及中子結合成為原子的原子核，較小的尺度（約 0.8 飛米，約為核子的尺寸）下，強交互作用將夸克結合，成為質子、中子或其他強子。強交互作用的作用力非常強，大到束縛一個夸克的能量可以轉換為新的夸克對的質量，強交互作用的這個性質稱為夸克禁閉。
強交互作用是唯一強度不會隨距離減小的作用力，但因為夸克禁閉，夸克會限制和其他夸克在一起，形成的強子之間會有殘留的強交互作用，也稱為核力，核力會隨距離而迅速減少。撞擊原子核釋放的部份束縛能和產生的核力有關，而核力也用在核能及核融合式的核武器中。
強交互作用一般認為是由膠子傳遞的，膠子會在夸克、反夸克及其他膠子之間交換。膠子會帶有色荷，色荷和人眼可見的顏色完全沒有關係，色荷類似電荷，但色荷有六種（紅、綠、藍、反紅、反綠、反藍），因此會形成不同的力，有不同的規則，在量子色動力學（QCD）中有描述，這也是夸克 - 膠子交互作用的基礎。吳秀蘭等科學家對膠子發現有很大貢獻，因此在 1995 年獲得了歐洲物理學會髙能和粒子物理獎。
在大爆炸後，電弱時期時，電弱交互作用和強交互作用分離，統一弱交互作用和電磁交互作用的電弱統一理論已經獲得實驗證實。科學家進一步預期有一個大統一理論可以統一電弱交互作用及強交互作用，現今有許多是大統一理論的理論，第一個是哈沃德・喬吉和謝爾登・格拉肖於 1974 年提出了最早的 SU (5) 大一統理論，但和實驗不合，其他的理論有 SO (10) 模型、喬吉 - 格拉肖模型，但還沒有一個是廣為科學家接受，且有實驗證實的理論，而且許多大統一理論都預言質子衰變，但目前也還沒有實驗支持，大統一理論也還是未解決的物理學問題之一。
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強核力 | 強交互作用比其他三種基本作用有更大的對稱性，也就是說，在強交互作用中有更多的守恆定律。強交互作用不像引力和電磁交互作用那樣是長程力而是短程力。但是它的力程比弱交互作用的力程長，約為 10-15 m 。大約等於原子核中核子間的距離。
對強交互作用本質的瞭解長期以來是物理學中的難題。人們曾經提出過許多強交互作用的理論，它們取得的成就都很有限。原因之一是理論中沒有小參量，因而找不到可靠的近似方法。人們由強子的夸克模型和規範場的概念出發提出量子色動力學。在這個理論中，強交互作用是組成強子的夸克之間通過一些稱為膠子的規範粒子場傳遞的作用。這個理論有在小距離處作用變弱的性質。它被認為是有希望的強交互作用基本理論。
在 1970 年代以前，科學家不知道核子為何可以被束縛在原子核內。當時已經知道原子核是由質子和中子組成，質子帶正電，中子不帶電。由於正電荷之間會互相排斥，帶正電的質子應該會造成原子核的裂解，但是卻沒有觀測到類似的現象，因此需要有新的物理學說來解釋此一現象。
為了解釋原子核中的質子沒有因電磁力互相排斥，反而聚集在一起，科學家開始假設有一種較強的吸引力的存在，這種假想的作用力稱為「強作用力」，科學家認為是在質子和中子等核子之間的基本作用力。
後來發現質子和中子都不是基本粒子，都是由更小的夸克粒子所組成。最基本作用力是將夸克束縛在質子和中子中的作用力，核子之間的強作用力其實是上述作用力的副作用。量子色動力學解釋夸克具有一種稱為色荷的性質，帶有不同色荷的夸克因著強交互作用會互相吸引，其中的介質是一種稱為膠子的粒子。
## 細節
強交互作用的「強」字，表示若在幾個飛米或是更短的距離內，強交互作用的強度比其他三種基本作用力都強：其強度是電磁力的 137 倍、弱交互作用的 106 倍、重力的 1039 倍。
### 強交互作用的特性
量子色動力學（QCD）是現代對強交互作用的描述，是粒子物理學中標準模型的一部份。在數學上，量子色動力學是非阿貝爾群的規範場論，以稱為 SU (3) 的空間對稱群為其基礎。
基本粒子中，只有夸克及膠子會帶著不會消失的色荷，因此基本粒子中也只有這兩種會參與強交互作用，其作用的強度是依強交互作用耦合常數來決定，強度會被粒子的色荷所調整，這是群論中的性質。 | [
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強核力 | 強交互作用和其他基本作用力不同，隨著距離的增加，強交互作用的強度不會降低。在超過一定距離（約強子的大小）後，即使夸克之間距離多遠，其強度仍有約 10,000 牛頓。在量子色動力學中這稱為夸克禁閉，因此只觀察到由夸克組合成的強子，無法觀察到單獨存在的夸克。其解釋是 10,000 牛頓的力（約是在地球表面一噸物質的重量），所作的功在短距離的作用下就可以足以產生夸克 - 反夸克對。簡單來說，拉住二個夸克的力產生了一對新的夸克，這二個新的夸克和分別和原來的夸克形成夸克對。所有實驗都無法找到自由夸克的結果也可以證實這種觀點。
基本夸克和膠子粒子的作用無法直接觀測到，不過可以由粒子加速器中，當能量衝擊夸克 - 夸克鍵結，或當質子中的夸克被另一個（在中子中）高速的夸克撞擊時，產生的強子得知。
任一個夸克和宇宙中大多數夸克的作用力都不會像以上所述，強度不隨距離而減少，原因是因為夸克禁閉的影響，在一段距離以外只能看到成群的夸克，而成群夸克（即強子）的色荷會互相抵消，因此和幾乎沒有色荷相同。而強子和強子之間幾乎沒有強交互作用，但因為色荷的相消並不完全，會有殘餘的強交互作用，稱為殘餘強交互作用，而殘餘強交互作用會隨著距離而減少，因此在一定距離以外，其作用效果類似「無色荷」的重子，因此稱為「強核力」也稱為核力。
### 殘留強作用力
殘留強作用力的效果稱為核力，核力會在強子之間作用，例如介子或原子核中的核子。殘留強作用力會傳遞膠子，形成 π 介子及 ρ 介子的介子，這些介子會在核子之間傳遞核力。
殘留強作用力是將夸克束縛為質子及中子強作用力的殘留量，因為質子和中子幾乎是無色荷的，因此其作用力比束縛夸克的作用力小很多，就像中性原子之間的電磁力（凡得瓦力）也比原子核和電子之間的電磁力小很多。
殘留強作用力和強作用力本身不同，強作用力不會隨距離增加而變小，但殘留強作用力會隨距離的增加而快速減小。其減小的趨勢接近距離的負指數，不過沒有簡單的表示式（參照湯川勢）。因為上述事實，再加上質子之間的排斥力隨距離不會那麼快下降，造成了原子序數大於 82（鉛）所有原子核的不穩定。
## 相關條目
* 核結合能
* 色荷
* 耦合常數
* 原子核物理學
* QCD 物質
* 量子場論及規範場論
* 標準模型
* 弱交互作用、電磁力和重力
* 分子間作用力
* 湯川耦合
## 文獻
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光量子假说 | **光子**（英語：**Photon**）是一種基本粒子，是電磁輻射的量子。在量子場論裏是負責傳遞電磁力的力載子。這種作用力的效應在微觀層次或宏觀層次都可以很容易地觀察到，因為光子的靜止質量為零，它可以移動至很遠距離，這也意味著它在真空中的傳播速度是光速。如同其它微觀粒子，光子具有波粒二象性，能夠展現出波動性與粒子性。例如，它能在雙縫實驗裡展示出波動性，也能在光電效應實驗裏展示出粒子性。
阿爾伯特・愛因斯坦在 1905 年至 1917 年間發展出光子的現代概念，這是為了解釋一些與光的古典波動模型不相符合的實驗結果。當時被普遍接受的古典電磁理論，儘管能夠論述關於光是電磁波的概念，但是無法正確解釋黑體輻射與光電效應等實驗現象。半古典理論在馬克士威方程組的框架下將物質吸收光和發射光所涉及的能量量子化，而行進的光波仍採古典方法處理；如此可對黑體輻射的實驗結果做出合理解釋。愛因斯坦的主張與普朗克的半古典理論明顯不同，他提出光本身就是量子化的概念，當時愛因斯坦稱之為「光量子」（英語：light quantum）。1926 年，美國物理化學家吉爾伯特・路易斯正式提出「光子（photon）」的命名。 雖然半古典理論對於量子力學的初始發展做出重大貢獻，從於 1923 年觀測到的電子對於單獨光子的康普頓散射開始，更多的實驗證據使愛因斯坦光量子假說得到充分證實。由於這關鍵發現，愛因斯坦於 1921 年獲頒諾貝爾物理學獎。
光子的概念帶動了實驗和理論物理學在多個領域的巨大進展，例如雷射、玻色 - 愛因斯坦凝聚、量子場論、量子力學的統計詮釋、量子光學和量子計算等。在物理學外的其他領域裡，這概念也找到很多重要應用，如光化學、高分辨顯微術，以及分子間距測量等。在當代相關研究中，光子是研究量子計算機的基本元素，也在複雜的光通信技術，例如量子密碼學等領域有重要的研究價值。
根據粒子物理的標準模型，光子的存在可以滿足物理定律在時空內每一點具有特定對稱性的理論要求。這種對稱性稱為規範對稱性，它可以決定光子的內稟屬性，例如質量、電荷、自旋等。光子的自旋為 1，因此是玻色子，不遵守包立不相容原理。
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光量子假说 | 光子起初被愛因斯坦命名為「光量子」。光子的現代英文名稱 photon 源於希臘文 φῶς（在羅馬字下寫為 phôs），即光的意思。這名稱是由物理化學家吉爾伯特・路易斯於 1926 年在他的一個假設性理論中創建的。在路易斯的理論中，photon 指的是一種新種類原子，是光的載子，像原子一般，不能被創造也不能被毀滅。阿瑟・康普頓在一篇發表於 1928 年的論文裏特別提到，路易斯曾經建議使用這術語。在這之前，這術語曾經在不同地方至少有四次被用到過。儘管由於路易斯的理論與大多數實驗結果相違背而從未得到公認，photon 這術語很快被很多物理學家所採用。
在物理學領域，光子通常用希臘字母 γ（音：Gamma）表示。這一符號表示有可能來源於法國物理學家保羅・維拉德於 1900 年發現的伽瑪射線。伽瑪射線由歐尼斯特・拉塞福和英國物理學家愛德華・安德拉德於 1914 年證實是電磁輻射的一種形式。在化學和光學工程領域，光子經常被寫為 hν，即用它的能量來表示；有時也用 f 來表示其頻率，即寫為 hf。
## 物理性質
### 量子關係式
光子遵守基本量子關係式：
: $E=h\nu =\hbar \omega $ ，
: $p={\frac {h}{\lambda }}=\hbar k$ ，
其中
* _E_ 為能量；
* _h_ 為普朗克常數；
* $\hbar $ 為約化普朗克常數或稱狄拉克常數， $\hbar =h/{2\pi }$ ；
* _ν_ 為頻率；
* _ω_ 為角頻率，_ω_ = 2π_ν_；
* _p_ 為動量的大小；
* _λ_ 為波長；
* _k_ 為波數。
### 光子的靜質量
光子的靜止質量嚴格為 0。根據規範場論，如果光子靜質量不為 0，那麼庫侖定律也不是嚴格的平方反比定律。使用上述量子關係式以及愛因斯坦質能等價關係可約略得到光子質量的上限：
: $h\nu =m_{\gamma }c^{2}\,$
此處 $m_{\gamma }\,$ 即是光子質量的上限， $\nu $ 是任意電磁波的頻率，位於超低頻段的舒曼共振已知最低頻率約為 7.8 赫茲。
: $m_{\gamma }<h\nu /c^{2}=6\times 10^{-50}\operatorname {kg} $
這個值僅比現在得到的廣為接受的上限值高出一個數量級。更多細節，請參見光子：規範玻色子一節中對於光子質量的討論。 | [
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光量子假说 | 根據狹義相對論，質量為 $m\,$ 的粒子，其能量 $E$ 和動量 $p$ 的關係為
: $E^{2}=p^{2}c^{2}+m^{2}c^{4}\,$ 。下方內容及本句參考自。
由於光子的質量為 0，光子的能量與動量的關係變為
: $E=pc$ 。
因此前述的量子關係式中，光子的能量與其頻率 $\nu $ 或波長 $\lambda $ 有關：
: $E=\hbar \omega =h\nu ={\frac {hc}{\lambda }}$ ，
這裡用到光速與頻率、波長的關係式：
: $c=\nu \lambda $ 。
同理，光子的動量向量與動量大小的關係式為
: $\mathbf {p} =\hbar \mathbf {k} $ ，
: $p=\hbar k={\frac {h}{\lambda }}={\frac {h\nu }{c}}$ ；
其中， $\mathbf {k} $ 是波向量，其大小 $k\equiv ||\mathbf {k} ||=2\pi /\lambda \,$ 即為波數，方向為光子的傳播方向。
### 其他性質
光子的自旋和宇稱：_J_PC = _1_--_。_
光子本身還攜帶有與其頻率無關的內秉角動量：自旋角動量，其大小為 ${\sqrt {2}}\hbar $ ，並且自旋角動量在其運動方向上的分量，即螺旋性，一定為 $\pm \hbar \,$ ，兩種可能的螺旋性分別對應著光子的兩種圓偏振態，右旋偏振態和左旋偏振態。
光子的波向量決定了它的波長和傳播方向。光子的自旋為 1，質量為 0，因此自旋只能有兩種相互垂直的方向，而且都垂直於波向量。由於自旋決定了偏振，光子具有兩種可能的偏振態，例如，這兩種偏振態可以是垂直偏振態、水平偏振態，也可以是右旋偏振態、左旋偏振態。
光子的電荷為零，半衰期無限長。光子是玻色子，因此輕子數、重子數和味量子數都為 0，而且不遵守包立不相容原理。
光子能夠在很多自然過程中產生，例如：在分子、原子或原子核從高能階向低能階躍遷時會輻射光子，粒子和反粒子湮滅時也會產生光子；在對應於上述過程的時間反演過程中，光子能夠被吸收，即分子、原子或原子核從低能階向高能階躍遷，粒子和反粒子對的產生。 | [
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光量子假说 | 從光子的能量、動量公式可導出一個推論：粒子和其反粒子的湮滅過程必會產生至少兩個光子。原因是在動量中心系下粒子和其反粒子組成的系統總動量為零，由於動量守恆定律，產生的光子的總動量也必須為零，而單個光子總具有不為零的大小為 $p={h\nu }/{c}\,$ 的動量，因此系統只能產生兩個或兩個以上的光子來滿足總動量為零。產生光子的頻率，即它們的能量，則由能量 - 動量守恆定律（四維動量守恆）決定。單光子生成電子 - 反電子對的過程不可能在真空中自發產生，這是因為這過程無法遵守動量守恆，從電子與反電子對的動量中心系觀察，它們的總動量為零，但是光子的動量無法被抵銷，因此，須要有額外一個帶質量粒子參與，例如一個原子核，這過程才能發生。
## 歷史發展
在 17 世紀與 18 世紀時期，在學術界主要有兩種論述光的學說：光微粒說與光波動說。根據光微粒說，光是由無數微小粒子組成的物質。雖然這可以解釋光的直線移動與反射，但並不能正確地解釋折射、繞射等現象。勒內・笛卡爾（1637 年）、羅伯特・虎克（1665 年）和克里斯蒂安・惠更斯（1678 年）等人主張光波動說，認為光是瀰漫在宇宙中的以太所傳播的擾動。雖然光波動說可以解釋光為什麼能夠進行直線傳播與球面傳播，並且解釋反射與折射機制，但是無法解繞射機制。當時由於艾薩克・牛頓的權威影響力，光微粒說仍然占有主導地位。十九世紀初，托馬斯・楊和奧古斯丁・菲涅耳的實驗清晰地證實了光的干涉和繞射特性，並且用光波動說合理解釋這些特性。到 1830 年左右，光波動說已經完全被學界接受。1865 年，詹姆斯・馬克士威的理論預言光是一種電磁波，證實電磁波存在的實驗由海因里希・赫茲在 1888 年完成，這被認為標誌著光微粒說的徹底終結。
然而，馬克士威理論下的光的電磁說並不能解釋光的所有性質。例如在古典電磁理論中，光波的能量只與波場的能量密度（輻照度）有關，與光波的頻率無關；但很多相關實驗，例如在光化學的某些反應中，只有當光照頻率超過某一閾值時反應才會發生，而在閾值以下無論如何提高輻照度，反應都不會發生。類似的例子還有光電效應實驗，只有當照射足夠高頻率的光束於金屬版時，光電子才會被發射出來；光電子的能量只與頻率有關，而與輻照度無關。 | [
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光量子假说 | 與此同時，由眾多物理學家進行的對於黑體輻射長達四十多年（1860-1900）的研究因普朗克建立的假說而得到終結，普朗克提出任何系統發射或吸收頻率為 $\nu \,$ 的電磁波的能量總是 $E=h\nu \,$ 的整數倍。愛因斯坦由此提出的光量子假說則能夠成功對光電效應作出解釋，愛因斯坦因此獲得 1921 年的諾貝爾物理學獎。愛因斯坦的理論先進性在於，在馬克士威的古典電磁理論中電磁場的能量是連續的，能夠具有任意大小的值，而由於物質發射或吸收電磁波的能量是量子化的，這使得很多物理學家試圖去尋找是怎樣一種存在於物質中的約束限制了電磁波的能量只能為量子化的值；而愛因斯坦則開創性地提出電磁場的能量本身就是量子化的。愛因斯坦並沒有質疑馬克士威理論的正確性，但他也指出如果將馬克士威理論中的古典光波場的能量集中到一個個運動互不影響的光量子上，很多類似於光電效應的實驗能夠被很好地解釋。在 1909 年 和 1916 年，愛因斯坦指出如果普朗克的黑體輻射定律成立，則電磁波的量子必須具有 $p={\frac {h}{\lambda }}$ 的動量，以賦予它們完美的粒子性。光子的動量在 1926 年由康普頓在實驗中觀測到，康普頓也因此獲得 1927 年的諾貝爾獎。
愛因斯坦等人的工作證明了光子的存在，隨之而來的問題是：如何將馬克士威關於光的電磁理論和光量子理論統一起來呢？愛因斯坦始終未能找到統一兩者的理論，但如今這個問題的解答已經被包含在量子電動力學和其其後續的標準模型理論中。
## 早期的反對意見
愛因斯坦在 1905 年提出的光量子理論在二十世紀的前二十年中多次由不同的實驗方法得到證實，這一點在羅伯特・密立根的諾貝爾演講中有敘述。然而在康普頓實驗證明光子具有和其頻率成正比的動量之前，大多數物理學家都不願意相信電磁輻射也有粒子性的一面（參見維因、普朗克、密立根的諾貝爾演講）。考慮到馬克士威理論的高度完備性和正確性，這種質疑是可以理解的，基於這種質疑，很多物理學家都從物質結構中尋找這種吸收或輻射量子化能量的未知原因。波耳和索末菲等人建立了帶有量子化軌道的原子模型，從而能夠定性地解釋原子譜線和物質吸收或發射光的能量量子化問題；這種原子模型和實際的氫原子符合得相當好，但不適用於其他任何原子。只有當康普頓做了光子被自由電子散射的實驗後，光本身即是量子的理論才被廣泛接受（由於電子沒有內在結構，因此不存在光子在其中不同能階間躍遷的可能）。 | [
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光量子假说 | 即使是在康普頓實驗之後，波耳、克萊默和約翰・斯萊特仍然提出了所謂 BKS （Bohr-Kramers-Slater）模型，意圖在於在馬克士威理論的框架下為解釋光量子問題做最後的嘗試。這個模型的建立是基於兩個相當偏激的假設：
* 物質與電磁輻射的交互作用中，動量和能量的守恆定律只有在取平均時才成立，而在吸收或發射的微小元過程中守恆律不成立；這個假設避免了討論能階躍遷時出現的能量不連續性，而將其理解為連續釋放能量的漸變行為。
* 因果律被拋棄，例如自發輻射的過程只是一種「虛擬的」電磁場導致的輻射。
儘管如此，在改進的康普頓散射實驗中人們得知光子的動量和能量守恆即使是在微小的元過程中也符合得極其好；而在康普頓散射過程中，從電子的震動到新光子的產生，觀測到的因果律滿足時間達到了 10 皮秒。這使得波耳和他的同行為他們的模型舉行了「儘可能光榮的葬禮」；不過，BKS 模型啟發了海森堡的靈感，幫助發展了他的量子力學。
還有少數物理學家曾一直致力於建立電磁場並非量子化的，而物質遵守量子力學的半古典模型。儘管到了二十世紀七十年代支持光子說的物理和化學實驗依據已經相當豐富，證據可能還是不能被認為絕對確鑿；因為這些實驗都依賴於光與物質的交互作用，而一個足夠複雜的關於物質的量子力學理論則仍然有可能去解釋這些實驗現象。無論如何，七八十年代進行的光子相關性實驗已經完美地否定了所有半古典理論的正確性。由此，愛因斯坦關於光量子化的假說已經完全得到證實。
## 與物質的交互作用
光子在透明物質中的傳播速度要小於其在真空中的速度。例如在太陽內核產生的光子在到達太陽表面的路程中要經過無數次碰撞，到達表面所需時間可達一百萬年，而一旦輻射到太空中只需 8.3 分鐘就可到達地球。基於古典電磁理論的波動光學對此的解釋是光波的電場引起了物質內部電子的極化，極化場和原有的光電場發生干涉造成波的延遲，這種效應在宏觀上表現為幾何光學的折射率；而從光量子的角度來看，這個過程可以被描述為光子與處於激發態的物質粒子（準粒子，如聲子或激發子）混合成為一個偏振子，偏振子具有非零的有效質量，這意味著它的運動速度不能達到光速。對於不同頻率的光，在物質中的運動速度可能是不同的，這種現象叫做色散。偏振子的傳播速度是光波的群速，是真正的光波能量的傳播速度，由能量對動量的導數給出： | [
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] |
光量子假说 | : $v={\frac {\mathrm {d} \omega }{\mathrm {d} k}}={\frac {\mathrm {d} E}{\mathrm {d} p}}$
公式中變量的意義同前， $E$ 和 $p$ 是偏振子的能量和動量， $\omega $ 和 $k$ 是其角頻率和波數。光子與其他准粒子的交互作用能夠從拉曼散射和布里淵散射中觀測到。
光子也能夠被分子、原子或原子核吸收，引發它們能階的躍遷。一個經典的例子是視黃醛（C20H28O，見右圖）的分子躍遷，這是由諾貝爾獎得主、生物化學家喬治・沃爾德和他的同事於 1958 年發現的。光子的吸收甚至能夠打破化學鍵，例如氯的光解過程，這是光化學的研究主題。
## 光子與量子力學
### 波粒二象性和不確定性原理
光子和其他量子一樣，同時具有波和粒子的雙重性質，這種波粒二象性很難直觀地說明。在其波長的尺度上，光表現出干涉、繞射等波的現象；例如一個單個光子在進行雙縫實驗時打到屏上的機率分布與很多個光子（即通常狀態下的電磁輻射）集體通過雙縫時形成的干涉條紋相同，這種干涉條紋的分布可由馬克士威方程組決定。然而，實驗證實單個光子並不等同於一個短暫的電磁脈衝，在傳播過程中光子不會擴散，穿過光學分束器時也不會分成兩個；光子也不是一種傳統的粒子，單個光子在雙縫實驗中的機率分布似乎說明當它穿過雙縫之一時「知道」另一條的存在。光子看上去像是一種無尺寸的粒子，原因是它能夠被那些尺寸遠小於其波長的粒子，例如原子核（10-15 米）和同樣無尺寸的電子，整體地吸收或發射。根據我們當前對光子的理解，光子是產生電磁場的原因，而光子本身的存在是局域的規範對稱性和量子場論定律的結果。
海森堡的不確定性原理，作為量子力學中的一條重要基本法則，指出一個粒子同方向的位置和動量不可能在同一時刻被確定。值得注意的是，對於帶有電荷的物質粒子，不確定性原理本身即要求將光量子化為光子，這裡需要用到光子的動量和能量與頻率的相關性。關於這一點的解說有一個很漂亮的示例，這是海森堡的一個假想實驗，討論的是用一個理想的伽瑪射線顯微鏡去確定一個電子的位置的情形。假設電子的位置確定在顯微鏡的分辨本領可達的範圍之內，這用古典光學表示為
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光量子假说 | 這裡 θ 是顯微鏡的孔徑角。由此得到的位置不確定度 $\Delta x\,$ 可以隨著用來觀測電子的光波長 λ 的減小而變得儘可能小；然而此時由于波長 λ 的減小，用來觀測電子的光子動量增大，這使得光子在電子上發生散射造成電子的動量變得越來越不確定。如果光不是量子化的，則電子的動量不確定度則可以通過減小輻照度來逐漸降低。這種情況是不可能發生的因為同時調節波長和輻照度就相當於能夠同時確定位置和動量，這違反了不確定性原理。與之相反的是，愛因斯坦的光量子理論是符合不確定性原理的：當光子被散射到孔徑角內，傳遞的動量不確定度為
: $\Delta p\sim p_{\text{photon}}\sin \theta ={\frac {h}{\lambda }}\sin \theta $
這就得到了海森堡不確定性原理 $\Delta x\Delta p\,\sim \,h$ ，這意味著整個世界都是量子化的，包括物質和場都遵循量子定律。
對於光子類似的一條不確定性原理是說無法同時測量一束電磁波中光子的數量 n（參見福克態與下文的二次量子化）和這束電磁波的相位 φ，兩者不確定度的關係為
: $\Delta n\Delta \phi \,>\,1$
詳細內容可參考相干態和壓縮相干態。
**光子的波動性是指古典的電磁波呢，還是量子力學的機率波呢？** | [
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光量子假说 | 光子和像電子那樣的物質粒子都能夠在雙縫實驗中形成類似的干涉條紋。在數學上，干涉條紋分布的計算既可以用古典波動干涉的方法，也能夠完全從量子力學波函數的方法推導出。由於單個光子穿過雙縫時也會發生干涉，這種干涉很容易讓人理解為光子的波函數的機率波干涉；因為這種干涉完全無法用古典電磁理論解釋，機率波的概念似乎更接近光子波動性的本質。不過一般教材在討論光子的波動性時只使用古典電磁理論，而物質粒子的波動性只使用波動力學，這涉及到在物理學界光子的波函數本身仍然是一個有爭議的概念。古典波動來自馬克士威方程組，而波函數來自薛丁格方程式，但大多數物理學家都不認為這意味著對於光子而言馬克士威方程式是薛丁格方程式的簡化形式，原因是通常意義下的薛丁格的機率波函數概念無法應用到光子上，光子的波函數無法擁有非相對論波動力學中薛丁格方程式的所有性質。光子沒有質量，無法定域化一個光子，這造成光子沒有一個定義完備的位置本徵態 $|\mathbf {r} \rangle $ ，不確定性原理的一般形式 $\Delta x\Delta p>h/2\,$ 對於光子而言沒有定義。儘管現在有一些建立光子波函數的嘗試，這些都沒有得到廣泛認可和應用。現在被普遍接受的觀點是光子的二次量子化理論，即在量子電動力學中，光子是量子化的電磁場激發模式。
### 玻色 - 愛因斯坦光子氣體模型
1924 年，薩特延德拉・納特・玻色在沒有藉助電磁理論的情形下推導出了普朗克的黑體輻射定律，他所用的方法是對相空間內粗粒計數（coarse-grained counting）的修正。愛因斯坦證明了這種修正等價於認為光子是嚴格的全同粒子，並暗示了一種「神秘的非定域的交互作用」，這種交互作用在今天被理解為量子力學對稱態的要求。此項工作引出了相干態的概念，並導致了雷射的發展。愛因斯坦將玻色的結構體系推廣至物質粒子（玻色子），並預言它們在足夠低的溫度下會凝聚到能量最低的量子態上；1995 年，人們在實驗中成功實現了玻色 - 愛因斯坦凝聚體。 | [
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光量子假说 | 如果電磁場的線性疊加原理成立，光子必須服從玻色 - 愛因斯坦統計。（整數自旋的粒子是玻色子，而 1/2 奇數倍自旋的粒子是費米子；自旋統計定理的結論是所有玻色子服從玻色 - 愛因斯坦分布，而所有費米子服從費米 - 狄拉克分布，或是說它們受到包立不相容原理的制約，每一個量子態上最多只能有一個費米子。）簡單說來，假使光子是費米子，則雷射不可能在任意輻照度下同時輻射出大量處在同一狀態的具有相同運動方向的相干光子，因此光子只能是玻色子。
### 受激輻射和自發輻射
1916 年，愛因斯坦發現普朗克的量子假說 $E=h\nu \,$ 能夠從一個速率方程式中導出。假設有一個處於熱平衡狀態的空腔，內部充滿了能夠被系統吸收或發射的電磁輻射。熱平衡狀態要求系統中具有頻率 $\nu \,$ 的光子的數密度 $n(\nu )\,$ 為不隨時間變化的常數，這樣系統發射光子的速率一定等於吸收光子的速率。
愛因斯坦假設一個系統從低能階 $E_{j}\,$ 向高能階 $E_{i}\,$ 躍遷時吸收頻率為 $\nu \,$ 的光子的速率 $R_{ji}\,$ 與處於低能階 $E_{j}\,$ 的分子數 $N_{j}\,$ ，以及周圍具有此種頻率 $\nu \,$ 的光子數密度成正比：
: $R_{ji}=N_{j}B_{ji}\rho (\nu )\!$
其中 $B_{ji}\,$ 是系統的吸收係數。
愛因斯坦還進一步假設從高能階 $E_{i}\,$ 向低能階 $E_{j}\,$ 躍遷時發射頻率為 $\nu \,$ 的光子的反向速率 $R_{ij}\,$ 由兩項組成：
: $R_{ij}=N_{i}A_{ij}+N_{i}B_{ij}\rho (\nu )\!$
其中 $A_{ij}\,$ 是與系統自發輻射的係數，而 $B_{ij}\,$ 是受激輻射的係數。愛因斯坦證明在系統處於熱平衡時，普朗克的量子假說 $E=h\nu \,$ 是這些假設成立的必然結果，並且這與系統的材料組成無關。
這一運動學模型相當簡單而頗含物理意義。愛因斯坦還證明了系統的吸收係數 $B_{ji}\,$ 等於受激輻射的係數 $B_{ij}\,$ ；以及可能更值得注意的一個關係：
: $A_{ij}={\frac {8\pi h\nu ^{3}}{c^{3}}}B_{ij}$ | [
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光量子假说 | 愛因斯坦沒有嘗試給出係數的形式從而進一步完善這個理論的速率方程式，但他指出 $A_{ij}\,$ 和 $B_{ij}\,$ 的形式應該能夠從「經修正能夠適用於量子假說的力學和電動力學」中推導出，這一預言已經分別在量子力學和量子電動力學中得到證實，計算這些係數的確需要藉助這兩者包含的第一性原理。保羅・狄拉克在 1926 年用半古典近似的方法得到了 $B_{ij}\,$ 的形式，其後在 1927 年通過第一性原理推導出了所有係數的形式。狄拉克的工作是量子電動力學的基石，這種電磁場的量子化又叫做二次量子化或量子場論，這是相對於早期的量子力學所研究的在勢阱中運動的物質粒子的量子化（代表著「一次量子化」）而言的。
愛因斯坦曾為他這一理論的不完整性所困擾，因為方程式並沒有給出自發輻射光子確定的運動方向，而今天我們知道自發輻射的光子不存在確定的運動方向，只存在某些特定的機率，這是量子力學的統計詮釋的結果。最早去思考光微粒運動的機率本性的人是牛頓，他在處理雙折射問題，以及光在界面上部分反射部分折射的問題時做出假設：在光微粒中有某些未知的變量決定了光微粒將走哪條路徑。類似地，愛因斯坦也寄希望於能找到一個更完備的理論，從而能夠完全消除這種不確定性，他和量子力學由此開始分道揚鑣。具有諷刺意味的是，馬克斯・玻恩卻受到愛因斯坦試圖完善這一理論的啟發，建立了波函數的統計詮釋。由全同玻色子組成的孤立系統，處於熱平衡時，分布在能階 εi 的粒子數為，Ni＝gi/（e^(α+βεi）-1）。α 為拉格朗日乘子、β＝1/（kT），由體系溫度，粒子密度和粒子質量決定。εi 為能階 i 的能量，gi 為能階的簡併度。
## 光子與量子場論
### 二次量子化
1910 年，彼得・德拜從一個相對簡單的假設推導出了普朗克的黑體輻射定律。他成功地將一個諧振腔內的電磁場分解成其傅立葉模式，並假設了每一種模式的能量都是 $E=h\nu \,$ 的整數倍，將這些模式求和就得到了黑體輻射定律。不過，德拜的方法沒有能夠給出愛因斯坦於 1909 年得到的黑體輻射能量漲落公式的正確形式。 | [
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光量子假说 | 1925 年，馬克斯・玻恩、海森堡和帕斯庫爾・約當對德拜的概念做了關鍵性的重新闡述。在古典理論中就可以證明，電磁場的傅立葉模式，這個由其波向量 **k** 和偏振態標記的平面電磁波的一組完備集合，和無耦合的諧振子的一組集合等價。在量子力學中，這組諧振子的能階可用 $E=h\nu \,$ 表示， $\nu \,$ 是諧振子的頻率。而下一個關鍵步驟就是證明電磁場的每一種傅立葉模式的能階都對應可用 $E=nh\nu \,$ 表示的具有 n 個光子的一個態，每一個光子的能量是 $E=h\nu \,$ 。這種方法給出了正確的能量漲落公式。
狄拉克在此基礎上做了進一步推導，他將一個電荷和電磁場的交互作用處理為引起光子能階躍遷的微擾，能階躍遷造成了光子數量的變化，但總體上系統滿足能量和動量守恆。狄拉克成功地從第一性原理導出了愛因斯坦係數 $A_{ij}\,$ 和 $B_{ij}\,$ 的形式，並證明了光子的玻色 - 愛因斯坦統計是電磁場量子化的自然結果（玻色的推導過程正好相反，他在假設玻色 - 愛因斯坦統計成立的條件下導出了普朗克公式）。在狄拉克的時代，人們還不知道包括光子之內的所有玻色子都服從玻色 - 愛因斯坦統計。
狄拉克的二階微擾理論會涉及到虛光子，虛光子可以認為是極短暫的電磁場的中間態，如靜電場或靜磁場中的交互作用就是由虛光子來傳遞。在量子場論中，可觀測事件的機率振幅是由對所有可能的中間態求和得到的，包括那些沒有物理意義的態。這樣虛光子並沒有如 $E=pc\,$ 這樣公式的約束，而且可能會存在兩個以外的偏振態，在某些規範條件下光子可能會有三個甚至四個偏振態。儘管虛光子不能被觀測到，它們對可觀測事件的機率的貢獻是可以測量到的。當然，二階微擾以及更高階的微擾在數學上會使求和的結果無限大，對於這種不存在物理意義的結果解決的技巧是重整化。其他種類的虛粒子也能夠對求和產生貢獻，例如在兩個光子的交互作用中的虛電子 - 正電子對。
在現代物理的符號系統中，電磁場的量子態是用一個福克態來表示，這是每一種電磁場模式對應的量子態的張量積：
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光量子假说 | 這裡 $|n_{k_{i}}\rangle $ 表示的量子態意為有 $\,n_{k_{i}}$ 個光子處於模式 $k_{i}\,$ 下。在這種符號系統中，模式 $k_{i}\,$ 下產生一個新光子的過程被記做 $|n_{k_{i}}\rangle \rightarrow |n_{k_{i}}+1\rangle $ 。這只是波恩、海森堡和約當的概念的一種數學表述，並沒有更多的物理內容。
### 光子：規範玻色子
電磁場可用規範場論來理解為要求時空中每一個位置都滿足對稱性要求的結果。對於電磁場，這種規範對稱性是複數的局域阿貝爾 U (1) 對稱性，複數代表著可以自由改變其相位，而不改變其實數部分，例如能量或拉格朗日量是複數的實部。
在對稱不破缺的前提下，阿貝爾規範場的量子必須是無質量的、不帶電荷的玻色子，因此理論預言光子為無質量無電荷並帶有整數自旋的粒子。電磁交互作用的形式決定了光子的自旋一定為 ±1，即螺旋性一定為 $\pm \hbar \,$ ，對應著光子古典概念中的左旋和右旋；而虛光子也可能會具有無物理意義的其他自旋態。物理學家一直在致力於檢查實驗結果和標準模型的預言相矛盾之處，特別是從實驗中計算光子所帶電荷和內秉質量的上限，任何一個值非零都是對標準模型致命的破壞。然而，目前為止所有實驗都證明光子具有的電荷和內秉質量為零，現今最為廣泛接受的上限值分別為 5×10−52 庫侖（3×10−33 倍基本電荷）和 1.1×10−52 千克（6×10-17 電子伏特）。
在流行的標準模型中，光子是電弱交互作用的四個規範玻色子之一，其他三個是參與弱交互作用的 W+, W−和 Z0，它們都具有內秉質量，因此需要一種 SU(2) 規範對稱破缺的機制來解釋。光子和 W、Z 玻色子的電弱理論是由格拉肖、薩拉姆和溫伯格完成的，三人因此項工作獲得 1979 年的諾貝爾物理學獎。而大一統理論的創立，是物理學家試圖將這四種規範玻色子和傳遞強交互作用的八種膠子規範玻色子聯繫起來的嘗試；然而大一統理論的一些關鍵性預言，例如質子的衰減，還沒有在實驗中得到證實。
### 光子的結構
所謂光子結構的測量，在量子色動力學中是指觀測光子場的量子漲落，這種能量漲落用一個光子的結構方程式來描述。目前對光子結構的測量一般都依賴於對光子與電子，以及正負電子的對撞時的深度非線性散射的觀測。
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光量子假说 | 當一個系統輻射出一個光子，從相對系統靜止的參考系來看，能量相應地降低了一個光子對應的能量 $E=h\nu \,$ ，這造成系統質量降低了 $E/c^{2}\,$ ；同樣地，系統吸收光子時質量也會增加相應的值。
這一概念被應用於狄拉克發起的理論 —— 量子電動力學的關鍵性預言中。在這理論裏，電子（或更普遍性的，輕子）的質量被修正，將虛光子的質量貢獻納入計算，應用到重整化技術。這種「輻射修正」在量子電動力學裏給出一些預言，例如，輕子的磁偶極矩、蘭姆位移、束縛輕子對的超精細結構（例如 μ 介子素或正子電子偶）。
既然光子對能量 - 動量張量有貢獻，根據廣義相對論它們也會產生引力場。反過來，光子本身也會受到引力場的作用，在彎曲的時空中它們的路徑也會發生彎曲，在天體物理學中這被應用為引力透鏡。在強引力場中運動時光子的頻率會發生引力紅移，這一點已經在龐德 - 雷布卡實驗中得到證實。當然，這些效應並不僅限於光子，而對古典的電磁波同樣成立。
## 技術應用
這裡討論的是光子在當今技術中的應用，而不是泛指可在傳統光學下應用的光學儀器（如透鏡）。雷射的原理是上文討論的受激輻射。
對單個光子的探測可用多種方法，傳統的光電倍增管利用光電效應：當有光子到達金屬板激發出電子時，所形成的光電流將被放大引起雪崩放電。電荷耦合元件（CCD）應用半導體中類似的效應，入射的光子在一個微型電容器上激發出電子從而可被探測到。其他探測器，如蓋格計數器利用光子能夠電離氣體分子的性質，從而在導體中形成可檢測的電流。
普朗克的能量公式 $E=h\nu $ 經常在工程和化學中被用來計算存在光子吸收時的能量變化，以及能階躍遷時發射光的頻率。例如，在螢光燈的發射光譜的設計中，會使用擁有不同電子能階的氣體分子，然後調整電子的能量並且用這些電子去碰撞氣體分子，這樣，可以得到想要的螢光。
在某些情形下，單獨一個光子無能力激發一個能階的躍遷，而需要有兩個光子同時激發。這就提供了更高解析度的顯微技術，因為樣品只有在兩束不同顏色的光所照射的高度重疊的部分之內才會吸收能量，而這部分的體積要比單獨一束光照射到並引起激發的部分小很多，這種技術被應用於雙光子激發顯微鏡中。而且，應用弱光照射能夠減小光照對樣品的影響。
有時候兩個系統的能階躍遷會發生耦合，即一個系統吸收光子，而另一個系統從中「竊取」了這部分能量並釋放出不同頻率的光子。這是螢光共振能量傳遞的基礎，被應用於分子生物學來研究蛋白質與蛋白質之間的交互作用.。 | [
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光量子假说 | ## 近期研究
量子光學是物理光學中相對于波動光學的另一個分支。未來超快的量子計算機的基本運算元素可能是光子，而在這方面重點研究的對象是量子纏結態。非線性光學是當前光學另一個活躍的領域，它研究的課題包括光纖中的非線性散射效應、四波混頻、雙光子吸收、自相位調變、光學參數振盪器等。不過這些課題中並不都要求假設光子的存在，在建模過程中原子經常被處理為一個非線性振子。非線性效應中的自發參量下轉換經常被用來產生單光子態。光子是光通信領域某些方面的關鍵因素，特別是在量子密碼學中。
2019 年 7 月 31 日，大型強子對撞機的超環面儀器實驗團隊宣布找到光子與光子散射的確切證據，超過背景期望值 8.2 個標準差。
## 參見
* 光
* 電磁波
* 光學
* 雷射
## 註釋
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半导体材料列表 | **半導體材料**是導電能力介於導體和絕緣體之間的一類固體材料。
## 發展
* 1833 年，英國的法拉第（Michael Faraday）發現的其中一種半導體材料：硫化銀，因為它的電阻隨著溫度上升而降低。
* 1874 年，德國的布勞恩（Ferdinand Braun），注意到硫化物的電導率與所加電壓的方向有關，這就是半導體的整流作用。
* 1947 年 12 月 23 日，巴丁與布拉坦（Walter Brattain）進一步使用點接觸電晶體製作出一個語音放大器，電晶體正式發明。
* 1958 年 9 月 12 日，德州的基爾比（Jack Kilby），細心地切了一塊鍺作為電阻，再用一塊 pn 接面做為電容，製造出一個震盪器的電路。
* 1970 年，超晶格概念的提出和超晶格量子阱的研製成功。
## 分類
以原料分為：
* 元素半導體材料：以單一元素組成的半導體，屬於這一材料的有硼、金剛石、鍺、矽、灰錫、銻、硒、碲等，其中以鍺、矽、錫研究較早，製備工藝相對成熟。
* 化合物半導體材料：由兩種或兩種以上無機物化合成的半導體，種類繁多，已知的二元化合物就有數百種。
* 三五半導體：由 Ⅲ 族元素 Al、Ga、In 和 V 族元素 P、As、Sb 組成，比如砷化鎵（GaAs）；它們都具有閃鋅礦結構，在應用方面僅次於 Ge、Si。
* 二六半導體：Ⅱ 族元素 Zn、Cd、Hg 和 Ⅵ 族元素 S、Se、Te 形成的化合物，是一些重要的光電材料；ZnS、CdTe、HgTe 具有閃鋅礦結構。
* 四四半導體：SiC 和 Ge-Si 合金都具有閃鋅礦的結構。 | [
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质子 | **質子**（英語：Proton，日韓漢字稱作陽子、陽性子），是一種帶有 1 個單位電荷正電的穩定強子，通常標記為 **p**, **p+** 或 **H+**。每個原子的原子核內部至少會含有一個質子，質子的數量稱為原子序數；另外，還可能含有中子，這些質子與中子都被稱為核子。由於每種元素的原子都含有獨特數量的質子，每種元素具有獨特的原子序數。
在粒子物理學的現代標準模型裏，質子是由兩個上夸克與一個下夸克組成的強子。夸克的靜質量只貢獻出大約 1% 質子質量，剩餘的質子質量主要源自於夸克的動能與綑綁夸克的膠子場的能量。
因為質子是由三個夸克組成，質子不是基本粒子，質子具有物理尺寸，但這尺寸並不能完美良好定義，由於質子的表面很模糊，因為這表面是由作用力的影響來定義，而這作用力不會突然終止。質子的半徑（更仔細地說，電荷半徑）大約為 0.84–0.87 飛米。
自由質子是不與其它核子或電子結合在一起的質子。自由質子很穩定，尚未被觀察到自發衰變成其它種粒子。質子與電子之間會相互親和，但當能量或溫度高到足以將質子與電子分離之時，就可以自然地找到自由質子。在電漿裏，溫度非常高，質子無法與電子結合在一起，因此自由質子可以存在。在太空裏，傳播了星際距離的宇宙線，其成分有 90% 是具有高能量與高動量的自由質子。自由中子不穩定，會進行衰變，這過程的產物是質子、電子與反微中子。
## 物理性質
質子是自旋為 ½ 的費米子，是由三個夸克組成，因此是一種重子。在這三個夸克之中，有兩個是上夸克，一個是下夸克，它們被由膠子傳遞的強交互作用綑綁在一起。從現代角度來看，更仔細地說明，質子是由三個價夸克（兩個上夸克，一個下夸克）、膠子與短暫存在的海夸克對組成。
質子的正電荷呈指數遞減分佈，離質心越遠，密度越低，方均根半徑約為 0.8 飛米。
在原子核裏的質子與中子都被稱為核子，它們被核力綑綁在原子核內部。氫元素的原子核只有一個質子；在它的所有同位素之中，最常見的是氫 - 1，符號為 1H 或「**H**」，它的原子核不含有任何中子，是個孤寂的質子。另外還有兩種較重的天然同位素，重氫 **2H** 或 **D** 與超重氫 **3H** 或 **T**，它們的原子核分別擁有一個與兩個中子。所有其它種元素的原子核都是由至少兩個質子與各種數量個中子所組成。
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] |
质子 | 質子極為穩定，不會自行衰變，至今為止，還沒有任何實驗觀察到質子的自發性衰變。但是，在粒子物理學裏，有些大統一理論主張，質子衰變應該會發生，例如，格拉肖 - 喬吉模型聲稱，對於衰變管道
p+
→
e+
+
π0
，平均壽命低於 1032 年，有些理論預測，質子平均壽命低於 1036 年。
在日本的超級神岡探測器完成的實驗，對於衰變成反緲子與中性
π
介子，給出質子平均壽命下限為 6.6×1033 年，對於衰變成正子與中性
π
介子，給出質子平均壽命下限為 8.2×1033 年。在加拿大的薩德伯里微中子觀測站進行的一項實驗，尋找從氧 - 16 的質子衰變過程所產生的剩餘核子所發射出的伽瑪射線。這實驗建立了質子壽命下限為 2.1×1029 年。
通過電子捕獲過程（又稱為逆貝他衰變），
p+
+
e−
→
n
+
ν
e，質子可以變為中子。對於自由質子，這過程不會自發性發生，必需提供足夠能量。
電子捕獲過程是可逆的。通過貝他衰變，
n
→
p
+
e−
+
ν
e，中子可以變為質子。這是一種常見的放射性衰變。實際而言，自由中子就是按照這模式衰變，平均壽命大約為 15 分鐘。
### 質量
在量子色動力學裏，使用狹義相對論，可以解釋質子或中子怎樣獲得它所具有的大部分質量。 質子質量大約比組成它的夸克的靜質量還重 80–100 倍，而膠子的靜質量為零；與在量子色動力學真空裏的夸克靜質量相比，在質子內部的夸克與膠子所擁有的額外能量，貢獻出大約質子質量的 99%。質子質量是由移動夸克與移動膠子組成的系統整體所具有的不變質量；在這種系統裏，甚至連零質量粒子的能量仍舊被視為整個系統的靜質量。
當論及組成質子的夸克所呈現的質量時，常會用到兩個術語：「流夸克質量」指的是夸克本身內秉的質量，「組分夸克質量」指的是流夸克質量加上在流夸克四週膠子場的質量。這兩種質量通常具有不同數值。質子質量大部分來自於將幾個流夸克結合在一起的膠子。雖然膠子內秉的質量為零，它們具有能量，更具體地，它們具有量子色動力學結合能，這能量貢獻出很大部分的質子質量。質子的三個價夸克的靜質量只貢獻出 9.4MeV，而質子質量大約為 938MeV，剩餘的質量歸因於膠子的量子色動力學結合能。 | [
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质子 | 質子內部的動力學行為很複雜，因為涉及到夸克與夸克之間的膠子交換，又涉及到夸克與各種真空凝聚體彼此之間的交互作用。晶格量子色動力學可以從理論直接計算出質子的質量，原則而言，可以達到任意準確性。近期完成的一次電腦計算聲稱，獲得結果準確至誤差小於 4%，甚至已達誤差小於 1%。但是，這聲稱可能仍具爭執性，因為計算所使用的夸克質量比實際質量還重；這意味著是倚賴外推法，將晶格從有限值外推至零，才能達到如此準確的預測結果，因此可能會造成系統誤差。很難說這些誤差已被正確控制，因為計算出的物理量是強子質量，而物理學者先前已知道這些物理量的數值了。
這些近期計算是由大型超級電腦完成。有些物理學者認為，對於核子結構的詳細描述仍舊缺乏，因為遠距離行為要求非微擾與／或數值處理。除了上述方法以外，還有一些更為概念性的方法。例如，原本由東尼・斯科姆給出的拓撲孤立子方法、更為準確的 AdS/QCD 方法涉及到膠子的弦理論、像口袋模型或組分夸克模型一類在 1980 年代非常流行的各種量子色動力學啟發的模型、
允許粗算近似質量的量子色動力學總和守則。這些方法的準確性低於注重蠻力式計算的晶格量子色動力學方法，至今為止，尚未能達到同樣的準確性。
### 電荷半徑
根據國際組織科學與技術數據委員會 2008 年資料，質子的電荷半徑為 0.8768(69) fm。這是從對由質子與電子形成的氫原子做實驗，測量蘭姆位移而得到的結果。2010 年 7 月，保羅・謝勒研究院研究團隊對由質子與緲子形成的奇異原子做測量實驗，經過仔細分析蘭姆位移數據，得到方均根電荷半徑為 0.84184(67) fm；與國際標準數值 0.8768(69) fm 相差 5 個標準差。2013 年 1 月，同樣團隊發佈，更新質子電荷半徑為 0.84087(39) fm；精密度是先前的 1.7 倍，但與國際標準數值相差 7 個標準差；另外，質子的磁半徑為 0.87 (6) 飛米，與先前測量數值相同。
這問題被稱為「質子半徑之謎」。為了解答這問題，保羅・謝勒研究院研究團隊現正嘗試解釋不一致之處，並且重新檢察先前高精密度測量與複雜計算。假若沒有在測量或計算方面發現任何錯誤，則可能必須重新檢察現今世界最精密與經過最嚴格測試的量子電動力學。
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质子 | 不與其它核子或電子結合在一起的質子稱為自由質子。雖然帶正電的質子與帶負電的電子彼此之間具有親和性，自由質子的動能必須足夠低弱，才能與電子結合在一起，成為束縛質子，因為這是一種相當低能量的交互作用。這結合動作並不會改變其質子屬性，束縛質子仍舊是質子。一個以高速度移動的質子，在通過物質時，會因為與電子和核子的交互作用而使得其速度減慢，失去其能量，直到質子的速度足夠緩慢，能夠被正常原子（不具有電漿性質）的電子雲俘獲。這種形成分子的機制稱為「質子化」機制。在化學裏，這種分子時常會變成布朗斯特酸。
在真空裏，假設存在有自由電子，則移動速度足夠緩慢的質子可能會吸引到一個自由電子，從而形成一個中性的氫原子，具有自由基的化學性質。這種「自由氫原子」，只需要很低的能量，很容易就會與其它原子產生化學反應。假設兩個自由氫原子彼此產生反應，它們會形成中性的氫分子（H2），這是在星際空間的分子雲裏最常見的分子成分。在地球實驗室裏，氫分子是很方便的質子源，可以用於質子療法所需的加速器或任何需要將質子加速的強子粒子物理學實驗，例如大型強子對撞機。
在太空裏，傳播了星際距離的宇宙線，其成分有 90% 是具有高能量與高動量的自由質子。在能量方面，這些質子通常高於太陽風質子，但是在輻照度方面，它們比太陽風質子均勻很多，變化較少。太陽質子事件會強烈影響太陽風質子的製成，例如日冕物質拋射。
## 反質子
CPT 對稱對於粒子與反粒子之間的相互性質給出強列約束，因此可以嚴格檢試。例如，質子與反質子所帶有的電荷必需總和為零。這個等號關係已被檢試至 1/108。它們所帶有的質量必須相等，這個等號關係也已被檢試至優於 1/108。對於囚禁在彭寧阱內的反質子做實驗測量電荷質量比，這個等號關係更被檢試至 1/6×109。對於反質子的磁矩所產生的誤差為 8×10−3 核子波耳磁子，測量數值的絕對值與質子的相等。
## 化學中的質子
### 原子序數
在化學裏，一個原子的原子核所含有的質子數量是這原子的原子序數，它決定了一個原子屬於哪種元素。例如，氯的原子序數是 17；這意味著每個氯原子擁有 17 個質子，所有擁有 17 個質子的原子都是氯原子。每種元素的化學性質跟其原子所擁有電子的數量有關。對於中性的原子而言，帶負電的電子與帶正電的質子兩者數量相等，總電荷量為零。例如，中性的氯原子有 17 個質子和 17 個電子，而帶負電的氯離子 Cl−
則有 17 個質子和 18 個電子，總電荷量為 −1。 | [
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质子 | 雖然兩個原子同屬一個元素，它們未必完全相同，因為它們可能分屬中子數不同的同位素，以及能階不同的核同質異能素。例如，氯有兩種穩定的同位素：35
17Cl
有 35 − 17 = 18 個中子，而 37
17Cl
則有 37 − 17 = 20 個中子。
### 氫離子
在化學裏，「質子」這術語指的是氫離子 H+
。因為氫的原子序數是 1，氫離子不帶電子，它的原子核只含有一個質子（並且它最豐沛的同位素氕 1
1H
不含中子）。質子是一個「赤裸的電荷」，其半徑僅相當於氫原子半徑的 1/64,000，所以化學反應性極強。在液體之類的化學系統中，自由質子的生存時間很短；它會立即與任何可以利用的分子的電子云反應。在水溶液中，它形成水合氫離子 H3O+；水合氫離子又進一步被水分子溶解，形成曾德爾陽離子 [H5O2]+ 和艾根陽離子 [H9O4]+ 之類的水合離子團簇。
在酸–鹼反應中發生的氫離子 H+
傳遞通常被稱為「質子傳遞」；根據酸鹼質子理論，可以在水溶液中提供質子的物質一般被稱為酸，可以在水溶液中吸收質子的物質一般被稱為鹼；酸、鹼分別被稱為質子的「給體」和「受體」。類似地，生物化學中的「質子泵」和「質子通道」之類的術語，所討論的也是水合氫離子的運動。
將氫 - 2 原子的電子移除得到的離子叫做氫 - 2 離子；由於含有一個中子，氫 - 2 離子不是質子。類似的結論對氫 - 3 也成立。
### 質子核磁共振
在化學裏，「質子核磁共振」指的是對於在分子（主要是有機分子）裏的氫 - 1 原子核做核磁共振觀察。由於質子感受到的屏蔽效應或質子的自旋 - 自旋耦合，核磁共振譜會出現不同特徵，這可以用來研究樣品分子的結構。此方法的名稱是指對於在化合物裏的氫 - 1 原子核（即質子）做核磁共振檢試，並不意味著自由質子存在於該化合物。阿波羅月表實驗包測量太陽風發現，多過 95% 的太陽風粒子是電子或質子，兩者數量大約一樣：
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质子 | 經過很長一段時期，類似氫原子的粒子參與組成了其他原子的概念才被發展出來。在 1815 年，英國自然神學家威廉・普勞特假設所有原子都是由氫原子構成，這是由於普勞特注意到各種氣體的密度大約為氫氣密度的整數倍數。這被稱為普勞特假設的提議啟發物理學者進一步論述，完成很多更精確的相關實驗，改善出原子量的概念，並且測得準確的原子量，也證實了普勞特的假設是不正確的。1886 年，德國物理學家歐根・戈爾德斯坦發現陽極射線，並且展示出它們是由氣體產生的帶正電粒子所形成。但是，因為從不同氣體產生的粒子擁有不同的電荷質量比，它們不能被歸根為單獨一種粒子，在這方面，這粒子與約瑟夫・湯姆森所發現的電子不同，從不同氣體產生的「電子」擁有相同的電荷質量比。
英國物理學家約瑟夫・湯姆森發現帶負電的電子，暗示中性的原子內也應該存在一些帶正電荷的粒子，提出原子應該是一個帶正電且電荷均勻分布的圓球，而電子則像梅子分散在布丁上，並在 1903 年提出「梅子布丁模型」。日本物理學家長岡半太郎反對湯姆森的模型，並指出相反電荷間是無法穿透的。於是，長岡半太郎在同年獨立提出原子的準行星模型，稱為「半太郎土星模型」，帶正電子的核心在原子中間，周圍環繞著若干電子，類似土星和土星環的狀況。。長岡半太郎建議電子的軌道就像土星環，這是從蘇格蘭學者詹姆斯・馬克士威的土星環穩定理論獲得的靈感，土星環能穩定存在是因為土星質量極大。「半太郎模型」預言原子存在一個質量極大的原子核（類似極大質量的行星）。這項預測被紐西蘭物理學家歐尼斯特・拉塞福在 1911 年進行的粒子撞擊實驗確認。歐尼斯特・拉塞福在 1911 年一篇論述「拉塞福模型」的論文裏，提到了長岡半太郎的半太郎模型。半太郎模型亦預言了質子的存在，但長岡半太郎並沒有明確地説明質子的存在。直至歐尼斯特・拉塞福在 1917 年至 1925 年間以多項粒子撞擊實驗，例如使用 α 粒子撞擊氮原子能成功提取氫原子，証明氫原子核存在於其他更重的原子核內，質子才被主流認為確實存在。由於這重要結果，拉塞福被認為是「質子的發現者」。最後由丹麥物理學家尼爾斯・波耳於 1913 年提出更完善的「波耳模型」，首次引入量子化的概念來研究原子內電子的運動，對於計算氫原子光譜的芮得柏公式給出理論解釋。 | [
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质子 | 拉塞福的粒子撞擊實驗研究出怎樣從 α 粒子與氮氣的碰撞製成氫原子核，並且找到能夠辨識與分離氫原子核射線的方法：恰當厚度的銀箔紙能夠阻擋 α 射線，只讓氫原子核射線通過，當這些氫原子核擊撞於硫化鋅時會產生閃爍信號，顯示出氫原子核的位置，在磁場裏，氫原子核有其特徵的軌道，藉此可以肯定其身分。拉塞福在做實驗時注意到，當 α 射線入射於空氣之時，閃爍器會顯示出氫原子核抵達某特徵位置。經過多次實驗，拉塞福追蹤到是因為空氣中的氮原子造成這現象，當 α 射線入射於純氮氣之時，產生的現象更為明顯，氧氣、二氧化碳、水蒸氣等等都不會造成這現象。拉塞福推斷，氫原子核只能夠源自於氮原子，因此，氮原子肯定含有氫原子核；當 α 粒子撞擊於氮原子時，會從氮原子裏擊撞出一個氫原子核。這是首次被公布的核子反應。後來，於 1924 年，使用雲室，證實這反應為 14N + α → 17O + p 。拉塞福已經知道氫是最簡單與質量最輕的元素。威廉・普勞特的假設對他的思維產生很大的影響。氫原子核以基礎粒子的角色存在於所有其它原子核是一個重要發現，這發現促使拉塞福為氫原子核取了一個特別名字，因為他懷疑質量最輕的氫原子只含有一個這種粒子。他命名這新發現的基礎粒子為「proton」，這名字來自於希臘字「πρῶτον」，意思是「第一」。可是，拉塞福也想到普勞特給出的術語「protyle」。
## 注釋
## 參考文獻
## 外部連結
* http://pdg.lbl.gov （頁面存檔備份，存於網際網路檔案館）
* http://www.cern.ch/lhc/ （頁面存檔備份，存於網際網路檔案館）
## 參見
* 氫正離子
* 質子﹣質子鏈反應 | [
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計算化學 | **計算化學**（computational chemistry）是理論化學的一個分支，主要目的是利用有效的數學近似以及電腦程式計算分子的性質，例如總能量、偶極矩、四極矩、振動頻率、反應活性等，並用以解釋一些具體的化學問題。計算化學這個名詞有時也用來表示計算機科學與化學的交叉學科。
## 簡介
理論化學泛指採用數學方法來表述化學問題，而計算化學作為理論化學的一個分支，常特指那些可以用電腦程式實現的數學方法。計算化學並不追求完美無缺或者分毫不差，因為只有很少的化學體系可以進行精確計算。不過，幾乎所有種類的化學問題都可以並且已經採用近似的算法來表述。
理論上講，對任何分子都可以採用相當精確的理論方法進行計算。很多計算軟體中也已經包括了這些精確的方法，但由於這些方法的計算量隨電子數的增加成指數或更快的速度增長，所以他們只能應用於很小的分子。對更大的體系，往往需要採取其他一些更大程度近似的方法，以在計算量和結果的精確度之間尋求平衡。
計算化學主要應用已有的電腦程式和方法對特定的化學問題進行研究。而算法和電腦程式的開發則由理論化學家和理論物理學家完成。計算化學在研究原子和分子性質、化學反應途徑等問題時，常側重於解決以下兩個方面的問題：
* 為合成實驗預測起始條件
* 研究化學反應機理、解釋反應現象
計算化學的子學科主要包括：
* 原子和分子的計算機表述
* 利用計算機協助存儲和搜索化學信息數據 （參見化學資料庫）
* 研究化學結構與性質之間的關係 （參見定量構效關係 (QSAR) 及定量構性關係 (QSPR)）
* 根據對作用力模擬對化學結構進行理論闡釋
* 計算機輔助化合物合成
* 計算機輔助特性分子設計（例如計算機輔助藥物設計）
2013 年因 **「為複雜化學系統創造了多尺度模型」** ，馬丁・卡普拉斯、邁可・列維特和阿里耶・瓦舍爾一同獲得諾貝爾化學獎。
## 第一原理方法
第一原理方法（_ab initio_），也稱為全始算，常指基於量子力學理論的，完全由理論推導而得，不做任何經驗值的帶入。因是不使用基本物理常數和原子量以外的實驗數據、以及經驗或者半經驗參數的求解薛丁格方程的方法，故為較為精密的計算方法。大多數情況下這些第一原理方法包括一定的近似，而這些近似常由基本數學推導產生，例如換用更簡單的函數形式或採用近似的積分方法。 | [
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計算化學 | 大多數第一原理方法使用波恩 - 奧本海默近似，將電子運動和原子核運動分離以簡化薛丁格方程。計算經常分**電子結構**計算和**化學動力學**計算兩個步驟進行：
### 電子結構
電子結構可以通過求解定態薛丁格方程（也成為不含時薛丁格方程）得到。求解過程常使用原子軌道線性組合（LCAO）得到的基組來進行近似。通過這種近似，薛丁格方程可以轉化為一個 "簡單" 的電子哈密頓量的本徵值方程。該方程的解為離散集。解得的本徵值是分子結構的函數。這種對應關係稱為勢能面。
Hartree-Fock 是最常見的一種第一原理電子結構計算。在 Hartree-Fock 近似中，每個電子在其餘電子的平均勢中運動，但是不知道這些電子的位置。當電子離得很近時，即使是用平均方法考慮電子間的庫侖相互作用，電子也不能相互避開，因此在 Hartree-Fock 中高估了電子排斥。Hartree-Fock 方程需採用變分法求解，所得的近似能量永遠等於或高於真實能量，隨著基函數的增加，Hartree-Fock 能量無限趨近於 Hartree-Fock 極限能。
很多方法先進行 Hartree-Fock 計算，隨後對電子的瞬時相關對此進行修正。相應能量的降低稱為電子相關能。這些方法稱為後 Hartree-Fock 方法，包括多體微擾理論、耦合簇理論（Coupled Cluster） 等。
量子蒙特卡羅（QMC） 是另外一種解決電子相關問題的方法。在量子蒙特卡羅中，體系的基態波函數顯式地寫成關聯的波函數，也就是說波函數是電子 -- 電子之間距離的顯式函數。量子蒙特卡羅採用蒙地卡羅方法對積分進行數值解析。量子蒙特卡羅計算非常耗時，但卻可能是目前精確度最高的第一原理方法。
密度泛函理論（DFT） 的許多常用泛函均包含由實驗數據擬合而來的參數。但在解決分子的電子結構問題時也常將密度泛函理論被當做第一原理方法。密度泛函理論使用電子密度而不是波函數來表述體系能量。在 DFT 計算中，哈密頓量的一項，交換 - 相關泛函，採用近似形式。 | [
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計算化學 | 當採取的近似足夠小的時候，第一原理電子結構方法的結果可以無限趨近準確值。但是，與真實值的偏差往往並不隨近似的減少而單調遞減，有時最簡單的計算反而會有更準確的結果。第一原理計算的主要缺點是運算量巨大，往往需要大量的計算時間、內存和磁碟空間。HF 方法的計算量隨體系的增大以 _N4_ 增長（_N_ 是基函數的數目）–計算兩倍大的體系需要 16 倍的時間–電子相關方法的增長速度更快（DFT 計算大約以 _N3_ 增長，相比之下是效率最高的電子相關方法）。
計算化學方法也可以用來解決固體物理的問題。晶體的電子結構通常用能帶結構來表示。第一原理和半經驗方法得到的軌道能量可以進一步應用於能帶結構的計算當中。
第一原理電子結構方法的常可分為：
* Hartree-Fock 方程
* 多體微擾理論
* 多組態自洽場方法（MCSCF）
* 組態相互作用方法（CI）
* 多參考態組態相互作用方法（MRCI）
* 耦合簇理論（Coupled Cluster）
* 二次組態相互作用（QCI）
* 量子蒙特卡羅
* 密度泛函理論（DFT）
* 廣義價鍵理論（GVB）
* 現代價鍵理論
### 化學動力學
在玻恩 - 奧本海默近似下對原子核坐標變量與電子變量進行分離後，與核自由度相關的波包通過與含時薛丁格方程全哈密頓量相關的演化算符進行傳播。而在以能量本徵態為基礎的另一套方法中，含時薛丁格方程則通過散射理論進行求解。原子間相互作用勢由勢能面描述，一般情況下，勢能面之間通過振動耦合項相互耦合。
用於求解波包在分子中的傳播的主要方法包括
* 分裂算符法
* 多組態含時哈特里方法
* 半經典方法
分子動力學使用牛頓運動定律研究系統的含時特性，包括振動或布朗運動。大部分情況經常加入一些經典力學的描述。分子動力學與密度泛函理論的結合稱作 Car-Parrinello 方法。
## 半經驗方法
### 電子結構
半經驗方法省略或近似處理了 Hartree-Fock 計算中的一些項（例如雙電子積分）。為了修正這些近似方法帶來的誤差，半經驗方法計算使用了一系列由實驗結果擬合的參數。有時，這些參數是根據第一原理計算結果進行擬合的。
經驗方法是對半經驗方法的進一步近似。經驗方法並沒有包括哈密頓量的雙電子部分。經典方法包括埃里克・休克爾提出的應用於 π 電子體系的 Huckel 方法和 Roald・霍夫曼提出的擴展 Huckel 方法。 | [
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計算化學 | 半經驗計算比第一原理計算快很多。但是如果計算的分子與參數化該方法時使用的分子結構不相近時，半經驗方法可能給出完全錯誤的結果。
半經驗方法在有機化學領域應用最為廣泛，因為有機分子的大小適中並主要由少數幾種原子構成。
與經驗方法類似，半經驗方法也可分為兩大類：
* 限於 π 電子體系的半經驗方法
* 限於價電子體系的半經驗方法
目前大部分的方法屬於第二類半經驗方法。
## 分子力學方法
很多情況下，對大分子體系的處理可以完全避免使用量子化學計算。分子力學模擬使用古典力學模型（例如諧振子）描述化合物的能量。分子力學模型的所有常數均通過實驗數據或第一原理計算結果得到。參數和方程的優化結果稱為分子力場。
進行參數化的化合物庫對分子力學方法的計算成功與否至關重要。針對某類分子優化的力場只有在應用於同類分子時才可保證得到可信的結果。
## 軟體包
下面的表格給出了常見量子化學軟體包的所支持的功能列表。另外請參閱價鍵理論程序的列表。
## 參考文獻
### 引用
### 來源
**書籍**
* T. Clark, _A Handbook of Computational Chemistry_, Wiley, New York (1985)
* C. J. Cramer, _Essentials of Computational Chemistry_, John Wiley & Sons (2002)
* F. Jensen, _Introduction to Computational Chemistry_, John Wiley & Sons (1999)
* D. Rogers, _Computational Chemistry Using the PC, 3rd Edition_, John Wiley & Sons (2003)
* A. Szabo, N.S. Ostlund, _Modern Quantum Chemistry_, McGraw-Hill (1982)
* D. Young, _Computational Chemistry: A Practical Guide for Applying Techniques to Real World Problems_, John Wiley & Sons (2001)
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] |
計算化學 | * David Young's Introduction to Computational Chemistry（頁面存檔備份，存於網際網路檔案館）
## 外部連結
* Computational Chemistry List（頁面存檔備份，存於網際網路檔案館）
* Journal of Computational Chemistry
* Center for Computational Chemistry
* NIST Computational Chemistry Comparison and Benchmark DataBase - Contains a database of thousands of computational results for hundreds of molecules
* Computational Chemistry Wiki - Wiki of computational chemistry results
* VigyaanCD（頁面存檔備份，存於網際網路檔案館）: A free software workbench for computational chemistry
* VCCLAB（頁面存檔備份，存於網際網路檔案館）: Virtual Computational Chemistry Laboratory
## 參見
* 量子力學
* 量子化學
* 分子模擬
* 統計力學
* 分子力學
* 分子力場
* 分子動力學
* 蒙地卡羅方法 | [
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无机合成化学 | **無機化學**是研究無機化合物的化學分支學科。通常，無機化合物與有機化合物相對，指不含 C-H 鍵的化合物，因此一氧化碳、二氧化碳、二硫化碳、氰化物、硫氰酸鹽、碳酸及碳酸鹽等都屬於無機化學研究的範疇。但這二者界限並不嚴格，之間有較大的重疊，有機金屬化學即是一例。
## 歷史
由於在有機化學發展初期，所有有機化合物（如尿素和尿酸等）都是從生物體內取得的，而且它們的性質類似，因此取「有機化學」作為其名稱。其中的「機」字帶有「機體」，「身體」的意思。而與之相對便誕生了「無機化學」，用以指研究非生物體化合物的化學，當時主要包含從礦物如雄黃和方鉛礦中製得的化合物。然而，隨著 1828 年弗里德里希・維勒成功由無機的氰酸銨 ${\ce {NH4OCN}}$ 合成了其同分異構體：有機的尿素 ${\ce {CO(NH2)2}}$ ，以是否為生物體來源作為區分有機無機化合物的標準便被打破，取而代之的是依性質上的不同來區分這二者。儘管現在有機化學仍主要是研究含碳化合物的化學，而無機化學主要是研究不含碳化合物的化學，但是這兩者都已經超越了以上的限制，例如：
* 無機含碳的化合物有：二元碳氧化物、碳酸、二元碳硫化物、金屬羰基化合物、碳鹵化物、氰化物、氰酸鹽、異氰酸鹽、雷酸鹽、硫氰酸鹽、碳化物、光氣、硫光氣、簡單的鹵代和氰代烴，以及諸如三甲基胂之類的有機金屬化合物等。而
* 有機不含碳的化合物有：很多 13-17 族的與烷烴類似的元素氫化物及衍生物，尤其是矽烷和肼及其相應的衍生物。
## 基本概念
許多無機化合物是離子化合物，由陽離子和陰離子以離子鍵結合。像氯化鎂 ${\ce {MgCl2}}$ 其中有鎂離子 ${\ce {Mg^2+}}$ 及氯離子 ${\ce {Cl-}}$ ，或是氧化鈉其中有鈉離子 ${\ce {Na+}}$ 及氧離子 ${\ce {O^2-}}$ 。任何一種鹽類，其陰離子和陽離子均維持在一定的比例，使得化合物呈電中性。離子可以依其氧化數來描述，而形成離子的難易程度則依對應元素的電離能（陽離子）或電子親合能（陰離子）來表示。
無機鹽類中重要的有氧化物、碳酸鹽、硫酸鹽及鹵化物等。無機鹽類一般有很高的熔點，在固態時多半不是電的良導體，其他的特徵包括對水的溶解度（參見溶解性表）及容易結晶的程度。不過有些無機鹽類（像氯化鈉）可以在水中溶解，有些（像二氧化矽）則不行。 | [
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无机合成化学 | 最簡單的無機化學反應為複分解反應，在混合二種鹽類時，其離子互換，但氧化態不變。在氧化還原反應中，還原劑的氧化態增加，而氧化劑的氧化態降低。淨反應是電子的轉移。電子的轉移也可以以間接的方式產生，例如在電池中的反應一様，這也是電化學的基礎概念。
當反應物中有可以解離的氫離子時，會產生交換質子（氫離子）的酸鹼反應。釋放質子的是酸，接收質子的是鹼。路易士酸鹼理論是較廣義的酸鹼定義，其中可以和電子對結合的稱為路易士酸，可以提供電子對的稱為路易士鹼。軟硬酸鹼理論除了將化合物分為酸和鹼，也依極化程度及離子大小來分類。
自然界中許多的無機化合物都是礦物。像土壤中含有氧化鐵（黃鐵礦）及硫酸鈣（石膏）。許多無機化合物也是生物分子，有許多不同的作用，例如電解質（氯化鈉）及結構（像 DNA 中的多磷酸結構）。
第一個重要的人造化合物是硝酸銨，利用哈柏法製備。許多無機化合物可作為觸媒（像五氧化二釩及三氯化鈦）或是有機化學中的反應物，像氫化鋁鋰。
無機化學的分支包括有機金屬化學、原子簇化學及生物無機化學。這些也是無機化學的熱門研究領域，主要要找到新的觸媒、超導體及藥物。
## 合成方法
無機化合物的合成方法大多數都採用以下方式：
* 分解反應
* 化合反應
* 置換反應
* 複分解反應
## 無機化合物
無機化合物常會因性質的不同而被分到不同的類別，有時是以化合物最重元素在元素周期表中的位置，有時則以該化合物與其它在結構上的相似性來分類。但這些分類並不是絕對的，它們之間有重疊。
### 配位化合物
以經典配位化學理論的角度來看，主族元素構成的配體（如 ${\ce {H2O}}$ 、 ${\ce {NH3}}$ 、Cl−、CN−）向金屬原子貢獻一對電子，形成配位鍵從而構成配位化合物。而在現代的配位化合物中，幾乎所有無機和有機化合物都可以被作為配體，從某種意義上也可以將所有的化合物都歸到配位化合物的範疇中，經典理論中的「金屬」在這裡通常是 3 到 13 族元素及鑭系和錒系金屬。
配位化合物的異構現象十分普遍。維爾納在 1914 年合成並且而後光學拆分的 Hexol（ ${\ce {[Co((OH)2Co(NH3)4)3]^6+}}$ ）是第一個不含碳的手性化合物， 而相關的領域被稱為超分子配位化學。
例 \* 子：[Co (EDTA)]−、[Co(NH3)6]3+、TiCl4(THF)2。
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无机合成化学 | 主族元素化合物主要指 1-2 族（除氫之外）和 13-18 族元素形成的化合物，有時 3 族的 Sc、Y 和 La 及 12 族的 Zn、Cd 和 Hg 也因為反應性類似而被包含在內。
很多主族元素化合物自從化學被發現之初便被研究，例如很多單質硫、白磷和氧氣的二元化合物，以及卡爾・博施和弗里茨・哈伯在二十世紀初發明的合成氨技術更是極大地激勵了無機合成化學的發展。
典型的主族元素化合物有：SiO2、SnCl4 和 N2O。它們之中有很多都可被歸為「有機金屬化合物」的範疇，例如 B (CH3)3，由於其分子中含有有機基團的緣故。很多主族元素化合物也存在於自然界中 —— 例如體液中的離子、DNA 中的磷酸基團以及許多酶中的中心金屬原子，而它們也因此被劃在「生物無機化學」的範圍之下。相反地，某些缺少氫的有機化合物也可被劃分為無機化合物，比如富勒烯、碳奈米管和二元碳氧化物。
* 例子：四氮化四硫 ${\ce {S4N4}}$ 、乙硼烷 ${\ce {B2H6}}$ 、矽氧樹脂、富勒烯 ${\ce {C60}}$ 。
### 過渡金屬化合物
過渡金屬化合物包含的是 4-11 族元素所形成的化合物。儘管有時也會考慮 3 族和 12 族的元素，但一般主要認為它們屬於主族元素化合物的範疇。
過渡金屬配合傾向很強，其化合物構型也有很大不同，從鈦的四面體型（例如 ${\ce {TiCl4}}$ ）到鈷配合物的八面體型，再到某些鎳配合物的平面正方結構。很多過渡金屬化合物是重要的生物分子，比如血紅素中的鐵。
* 例子：五羰基鐵 ${\ce {Fe(CO)5}}$ 、TiCl4、順鉑 _cis_- ${\ce {Pt(NH3)2Cl2}}$ 。
### 有機金屬化合物
一般把有機金屬化合物定義為含有 M-C-H 鍵的化合物， 其中的金屬 M 既可以是主族元素，也可以是過渡金屬。但在很多情況下有機金屬化合物的範圍被延伸，高度親脂的金屬羰基化合物和金屬醇鹽也被包含在內。
有機金屬化合物之所以被單獨歸為一類，是因為它們中的有機基團對於氧化和水解較為敏感，且製備方法也較經典的配位化合物苛刻。很多包含弱配位能力配體（如烴類、H2 和 N2）的配位化合物，也成功在低配位能力溶劑中製得。
由於配體常是石化工業中的材料而且這一類化合物性質獨特，有機金屬化學近年來發展很快，一些例子有： | [
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无机合成化学 | * 環戊二烯基羰基鐵 ${\ce {(C5H5)Fe(CO)2CH3}}$ 、二茂鐵 ${\ce {Fe(C5H5)2}}$ 、六羰基鉬 ${\ce {Mo(CO)6}}$ 、乙硼烷 ${\ce {B2H6}}$ 、四 (三苯基膦) 鈀 (0) ${\ce {Pd[P(C6H5)3]4}}$ 。
### 原子簇化合物
M
原子簇化合物存在於各類化合物中，通常被定義為：凡以 3 個或 3 個以上原子直接鍵合構成的多面體或籠為核心，連接外圍原子或基團而形成的結構單元。
* 例子：Fe3(CO)12、B10H14、[Mo6Cl14]2−、4Fe-4S。
### 生物無機化合物
* 例子：血紅素、甲基汞、羧肽酶。
### 固相化合物
有關固相化合物的研究以其材料的結構、鍵結以及物理性質為主。在實務上，固相無機化學使用像晶體學的技術來 了解固體的性質，而這些性質是固體中的許多小單位互相作用的結果。金屬、合金及金屬互化物都包括在固相化合物的研究內容中。相關的研究領域包括凝聚態物理學、冶金學及材料科學。
* 例子：矽片、沸石、YBa2Cu3O7。
## 理論無機化學
以原子的玻爾行星模型為起始，現在的理論無機化學以理論化學和計算化學作為基礎，通過定量、半定量的計算或定性分析，得出複雜分子所應具有的性質。由於多電子體系的精確量子力學計算較困難，包括分子軌道理論和配位場理論等的半定量和半實驗的方法，及密度泛函理論之類的近似方法都被應用於理論無機化學中。
除理論外，**定量**和**定性**兩個概念對該領域的發展起到至關重要的作用。譬如根據晶體場理論，CuII2(OAc)4(H2O)2 含有兩個未成對電子，應為順磁性，但事實上它在室溫下幾乎是逆磁性的。定性理論和實驗之間的矛盾導致了「磁性耦合」這一概念的誕生。因此它不僅推進了自身領域的發展，也帶動了新材料和新科技的誕生。
### 定性理論 | [
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无机合成化学 | 定性理論只需很少的量子力學基礎，對於理解無機化學有很大作用。對於主族元素，價層電子對互斥理論（VSEPR）可以較好地預測分子形狀，比如它可以解釋為何 NH3 是三角錐型，而 ${\ce {ClF3}}$ 則為 T 型。對於過渡元素，晶體場理論可以幫助理解簡單配合物的構型和磁性，例如為何 [FeIII(CN)6]3−離子只有一個未成對電子，而 ${\ce {[Fe^{III}(H2O)6]^{3+}}}$ 離子則有五個未成對電子。定性理論中尤其重要的概念是電子計數，通過計算中心原子的價電子數，從而得出化合物的結構和反應性。
### 分子對稱性與群論
無機化學的中心結構是分子對稱性理論。數學中的群論提供了合適的語言依據點群對稱性來描述分子的形狀。群論也使得理論計算得以簡化和因子化。
## 熱力學和無機化學
研究無機化學的另一種方法是關注反應的能量。比如氧化還原電位，酸性，相變等。，其亦屬於物理化學範疇，基礎為熱力學三大定律。
化學熱力學
## 動力學的無機化學
無機化學的一個重要的也是日受關注的方面是研究反應途徑。
化學動力學
## 參考文獻
## 外部連結
* 常見無機化學期刊的連結 （頁面存檔備份，存於網際網路檔案館）（英文）
## 參見
* 無機化合物
* 有機化學 | [
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倒影 | **反射**（拉丁文：Reflectio；法文、英文：Reflection；德文、西班牙文：Reflexion）是一種物理現象，是指波陣面從一個介質進入另一個介質時，在兩個介質的界面處，其傳播方向發生改變，而返回其原介質的現象。常見的例子包括光、聲波和水波的反射。在光的反射現象中，無論是漫反射還是鏡面反射都遵從光的反射定律，即在反射現象中，反射光線，入射光線，法線在同一平面內，反射角等於入射角，反射光線與入射光線分居法線兩側。平面鏡成像就是光的反射造成的。
在聲學方面，反射會引起回音，這在聲納上得到很好應用。在地質學方面，研究地震波時，反射是十分重要的部分，通過對次聲波的檢測以研究地震與海嘯。反射可以在水體的面波上被觀察到，也可以在包括可見光和紅外光在內的多種電磁波上被觀測到。甚高頻以及更高頻的波的反射對於無線電傳輸和雷達十分重要。甚至硬 X 射線和伽瑪射線在角度較淺時，也可以被「擦邊」鏡反射。
## 光的反射
光的反射可以是鏡面反射（如同鏡子）或漫反射（保留了能量，但丟失了像，但仍遵從反射定律），取決於界面性質。
一面鏡子就可以提供光的鏡面反射的最常見模型，鏡子往往由一塊有著金屬塗層的薄玻璃板組成，而這金屬塗層才是反射實際發生的地方。反射在金屬中會增強，因為金屬對於超出它們集膚深度的波能起到抑制傳播的作用。反射同樣能在透明介質的界面上發生，例如水和玻璃。
在示意圖中，一束光線 $PO$ 在點 $O$ 處射到了一面豎直鏡子上，反射光線是 $OQ$ 。在點 $O$ 處作出一條假想的與鏡面垂直的直線，叫做_法線_(_normal_)。有了法線，我們可以測量出_入射角_ $\theta _{i}$ ，和反射角 $\theta _{r}$ 。_反射定律_表述為 $\theta _{r}=\theta _{i}$ ，_換句話說，反射角等於入射角，_同時反射光線，入射光線，法線在同一平面內，反射光線與入射光線分局法線兩側。
事實上，只要光從一個有著特定折射率的介質傳播進入一個有著不同折射率的介質，光的反射就會發生。在絕大多數情況下，只有一部分光會從界面反射，餘下的則會折射。通過解在一束光線射到一個界面上的情況下的馬克士威方程組，派生出了菲涅耳方程組，用它可以預測在特定情況下，多少光發生反射和多少光發生折射。這與阻抗失配在一個電迴路中引起信號反射的方式類似。當光從光密介質入射時，如果入射角大於臨界角，全內反射就會發生。 | [
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倒影 | 全內反射被用來使波集中，此時用一般方法不能將波有效地反射。X 射線望遠鏡是通過為波創造一個輻輳「軌道」來建造的。波以低角度與這個軌道的表面交互作用，與此同時，它們也就朝著目標點反射（或是朝著與軌道表面的另一個交互作用點，最終被導向位於目的地的探測器）。普通的反光體此時無法發揮作用，因為 X 射線會輕易穿過設計好的反光體。
當光反射離開一個比外部介質更密（折射率更高）的材料時，它會經受一次極性倒轉。反之，一個更疏、折射率更低的材料會使光_同相位_反射。這在薄膜光學領域中是一個重要法則。
鏡面反射會形成圖像。平坦表面上的反射形成的是鏡像，它看起來是左右顛倒的，因為我們會把我們看到的圖像，與我們在轉到圖像的位置後的所見作比較。在彎曲表面上的鏡面反射會形成一個放大或縮小的圖像；曲面鏡擁有光學倍率。像這樣的鏡子可能會有著球形或是拋物面形的表面。
### 反射定律
如果反射的表面非常光滑，光發生的反射就被稱作鏡面反射或單向反射。無論鏡面反射還是漫反射都遵從反射定律，反射定律如下：
1. 反射光線、入射光線和反射面在反射發生處的法線位於同一個平面。
2. 反射角等於入射角
3. 反射光線和入射光線處在法線的相對兩邊。
這三條定律全部可以由菲涅爾方程組導出。
#### 機制
在古典電動力學中，光被看作一種電磁波，一種通過馬克士威方程組描述的波。射到材料上的入射光導致了單個原子極化的微小振動（若是金屬材料，則是電子的振動），造成了每一個粒子都向四面八方輻射出微弱的次級波，就像一個偶極子天線。根據惠更斯－菲涅耳原理，所有這些波加起來就給出了鏡面反射和折射。
對於像玻璃這樣的介電質，光的電場影響了材料里的電子，這些移動的電子形成了場並變成新的輻射體。玻璃中的折射光是向前的輻射與入射光的聯合。反射光是所有電子產生的向後的輻射的聯合。
在金屬中，沒有結合能的電子被稱作自由電子。當這些電子隨著入射光振動時，它們的輻射的場和入射光的場之間的相位差是 $\pi $ (180°)，所以向前的輻射終止了入射光，而向後的輻射就是反射光。
在光量子方面的光 - 物質交互作用是量子電動力學的話題，詳細的描述在理察・費曼的暢銷書 QED：光和物質的奇妙理論中有所提及。
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倒影 | 當光射到一個（非金屬的）材料表面上時，它會向各個方向彈離，這是因為材料_內部_極小的不規則（例如，多晶材料的晶粒邊界，有機材料的細胞或纖維邊界），或是因為材料的表面粗糙，因而發生了繁多的反射造成的。因此，不會形成「圖像」。這被稱作漫反射。反射的確切的樣子取決於材料的結構。漫反射的一個普通的模型是朗伯反射率，此時光在各個方向以相同的亮度（光度學上）或輻射率（輻射度學上）進行反射，這在朗伯餘弦定律中有描述。
大多數物體發送到我們眼中的光，都是由於它們表面發生了漫反射，所以這便是我們進行肉眼觀察的主要機制。
註：漫反射時仍遵循反射定律
### 逆反射
有些表面會展示出_逆反射_。這些表面的結構使之將光向射入的方向反射。
當飛過被太陽光照亮的雲層時，飛行器的陰影周圍的區域看起來更亮，相似的效果也會出現在草的露珠上。這種不完整的逆反射的產生，是因為水滴的彎曲表面具有折射的特性，而水滴的後邊具有反射的特性。
一些動物的視網膜起到了逆反射器的作用，這有效地提高了動物的夜視能力。因為它們眼中的許多透鏡往復地改變進出的光線的路徑，眼睛就有了強的逆反射器一樣的效果，所以當它們晚上在荒地上行走時，有時會看到它們的眼睛會發光。
將三面平常的鏡子兩兩垂直地放置，就製成了一個簡單的逆反射器（角反射器）。形成的圖像與單面鏡子所成的相反。在一個表面上放一層微小的具有折射能力的球，或創造一些金字塔形的結構，就可以讓一個表面具有一部分的逆反射特性。在這兩種情況下，內部的反射造成光向它發源的地方反射回去。這被用來使交通標誌和汽車牌照能基本上將光反射回它射來的地方。在這種應用中，完美的逆反射並不是想要的，因為這樣的話，光就會徑直地向駛來的車的車燈射去，而不是射入司機的眼睛。
### 多重反射
當光從一面鏡子反射出來，一個圖像就會出現。兩面精確面對面的鏡子，就會顯出一條直線上有無窮多個圖像的樣子。如果兩面鏡子成一定角度，在它們之間看到的多重圖像就會位於一個圓上。那個圓的圓心位於鏡子假想的相交處。四面鏡子面對面排成方形，就會顯出無窮多個圖像排列在一個平面內的樣子。如果每對鏡子彼此都成一定角度，組成一個金字塔，那麼在它們之間看到的多重圖像就會位於一個球上。如果金字塔的底部是矩形，圖像就會遍布一段環面。 | [
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倒影 | 注意這些都是在理想狀況下的完美模型，需要把絕對光滑、絕對平坦、不吸收任何光的完美反射器完美地校準。實際中，這些情形只能去趨近卻不能去達到，因為反射器表面的任何瑕疵造成的影響都會增加、放大，而對光的吸收會逐漸使圖像黯淡、消失，而且所有的觀測設備（生物的或技術的）都會有干擾。
### 複雜共軛反射
在這個過程中（也被理解為相位共軛），由於經過非線性的光學處理，光精確地向射來的方向反射回去。不僅光的方向顛倒了，而且實際的波陣面也被顛倒了。共軛反射器可以將光線反射，並使反射光再次通過有像差的光學儀器，因此可以用來消除像差。
## 其他類型的反射
### 中子反射
能反射中子的材料，例如鈹，被用於核反應爐和核武器。在物理和生物科學中，將材料的原子中的中子反射出來普遍用於測定材料內部結構。
### 聲反射
當縱向的聲波射到一個平坦表面上時，聲音以一種連貫的方式反射，由反射面的大小與聲音的波長相比有多大來提供。注意可聽聲的頻率範圍廣泛（從 20 赫茲到大約 17000 赫茲），於是波長範圍也很廣泛（從大約 20 毫米到 17 米）。因此反射的總體特性會根據表面的質地和結構而變化。例如，多孔的材料會吸收一些能量，而粗糙（相對于波長而言）的材料往往向多方向反射 —— 將能量擴散而不是協調一致地反射。這就引入了建築聲學的領域，因為這些反射的特性對於一個空間的聽覺感受來說是挑剔的。在外部雜訊控制的理論中，通過將一部分聲音向相反方向反射，反射表面的大小會從隔音屏障的設想中得到輕微減損。
### 地震反射
由於地震或其他來源（例如爆炸）產生的地震波可能會被地球內部許多地層反射。研究地震引起的波的深度反射，使得地震學家可以測定地球的分層結構。更淺的反射通常被用於反射地震學來研究地球的地殼，尤其用於勘探石油和天然氣儲量。
## 參照
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开放源代码软件列表 | 下面是**自由及開放原始碼軟體包** —— 即採用自由軟體授權和開源許可證的電腦軟體的列表。符合自由軟體定義的軟體可能稱為自由軟體更為適宜；GNU 計劃尤其反對他們的軟體被稱為「開源」。欲知更多有關開源軟體資訊及其理論背景，請參考開源軟體運動和自由軟體運動。不過，幾乎所有的符合開源軟體定義的軟體都是自由軟體，故而也在此列出。
## 應用領域
### 人工智慧
* 一般
* OpenCog—— 以構建一般人工智慧（Artificial General Intelligence，AGI）架構為目標的專案。OpenCog Prime 是用於設計增進相當於人類的一般人工智慧相互作用的組件的具體安排
* 電腦視覺
* AForge.NET—— 基於.NET Framework 的電腦視覺、一般人工智慧和機器人技術庫
* OpenCV—— 用 C++ 編寫的電腦視覺庫
* 機器學習
* 參見下文資料探勘
* 參見 R 語言 —— 統計學習和分析工具包
* 計劃
* TREX—— 反應計劃
* 機器人技術
* ROS—— 機器人作業系統（Robot Operating System）
### CAD
* FreeCAD
#### 電子設計自動化（EDA）
### 電腦類比
* Blender，用 C、C++ 和 Python 語言寫成的 3D 類比程式，包含服飾、髮型、形體類比技術
* SimPy，基於佇列理論事件的模擬器，用 Python 編寫
* FlightGear，適用於 Windows、OS X 和 GNU/Linux 的開源航班模擬器
### 財務
* Adempiere——ERP（企業資源計劃）商務套件
* Bitcoin——P2P 分散型數字貨幣
* 博爾尼塔開源解決方案 —— 業務流程管理
* Compiere——ERP 自動化會計解決方案，支援鏈條、銷售清單和銷售訂單
* CiviCRM—— 針對非盈利組織的組織關係管理軟體
* Cyclos—— 用於小額信貸機構、補充貨幣系統和時間銀行（timebanks）的軟體
* Dolibarr—— 基於 Web 的 ERP 系統
* Ebase—— 特別為非盈利組織開發的組織關係管理工具
* Ethereum——P2P 分散型數字貨幣 + 公共區塊鏈電子平台
* EOS （頁面存檔備份，存於網際網路檔案館）——P2P 分散型數字貨幣 + 公共區塊鏈電子平台 | [
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] |
开放源代码软件列表 | * Frontaccounting—— 基於 Web 的複式簿記和 ERP 系統
* GnuCash—— 複式簿記
* Grisbi—— 單式簿記
* HomeBank—— 用於個人
* IDempiere——Adempiere + OSGI ERP 企業資源計劃
* Ino erp—— 基於動態 Pull 的 ERP 系統
* jFin
* JFire—— 用 Java 和 JDO 寫成的 ERP 商務套件
* JQuantLib—— 基於 Java 的定量金融學應用介面（API）框架，適用於金融工具的估值和更多……
* KMyMoney—— 複式簿記
* LedgerSMB—— 複式簿記
* Mifos—— 微型金融機構管理軟體
* MyEtherWallet （頁面存檔備份，存於網際網路檔案館） —— 以太坊加密貨幣錢包
* Openbravo
* OrangeHRM—— 商業人力資源管理
* Postbooks—— 綜合會計及 ERP 商務套件
* QuickFIX —— 用 C++ 寫成，再用 C#、Ruby 和 Python 包裝的 FIX protocol 引擎
* QuickFIX/J—— 用 Java 寫成的 FIX protocol 引擎
* SQL Ledger—— 複式簿記
* SugarCRM—— 商業客戶關係管理
* Tryton
* TurboCASH—— 適用於 Windows 的複式簿記
* vtiger CRM—— 客戶關係管理（Customer Relationship Management，CRM）軟體，具備銷售力量自動化、市場管理、客戶服務／支援、庫存管理
* WebERP—— 基於 Web 的 ERP 系統
### 圖書館整合管理軟體
* Evergreen
* Koha
* NewGenLib
* OpenBiblio
* PMB
* refbase—— 基於 Web 的機構儲存和參考文獻管理軟體
### 圖像編輯器
* Darktable—— 數位影像工作流管理，含 RAW 處理。
* digiKam—— 包含編輯功能的整合圖像工具包。
* GIMP————GNU 圖像處理程式
* Inkscape—— 開源向量圖形編輯器
* Nodebox—— 開源向量圖形編輯器
* Krita———— 自由開源的免費繪畫軟體
* Mtpaint—— 針對像素圖且能在老電腦上運行的繪圖軟體
### 數學 | [
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开放源代码软件列表 | #### 動態幾何軟體
* GeoGebra
* Dr.Geo
* KSEG
#### 符號計算軟體
* Maxima
* Python—— 結合 SymPy 等擴充函式庫
* Yacas
* R—— 結合 rSymPy, Ryacas 等擴充函式庫
#### 科學 (矩陣) 計算，2D、3D 函式繪圖軟體
* Euler Math Toolbox —— 有自己的語法，也可以使用 C 或 Python
* Julia
* JavaScript —— 結合 Rlab 等擴充函式庫
* Octave
* Python—— 結合 NumPy、SciPy、Matplotlib、SymPy 等擴充函式庫
* R 語言 ——R 語言 目前支援數值計算的套件一直在成長，內建矩陣計算的指令很多，數值微分 numDeriv,adapt, 符號運算 Ryacas,rSymPy, 微分方程 dsolve, 線性規劃 linprog,Rglpk, 等等，另外 bigmemory、bigalgebra 可以進行大矩陣計算
* SciLab
### 參考文獻管理軟體
* 參見參考文獻管理軟體的比較。
### 科學
#### 生物資訊學
* 參見開源生物資訊學軟體列表
#### 化學資訊學
* Chemistry Development Kit
* JOELib
* OpenBabel
#### 地理資訊系統
#### 網格計算
* P-GRADE Portal—— 網格計算軟體，可以通過進階的 Web 介面建立、解析和顯示工作流程
#### 顯微圖像處理
* CellProfiler
* Endrov
* FIJI (軟體)
* Ilastik
* ImageJ
* IMOD
* ITK
* KNIME
* OsiriX
* VTK
* 3D Slicer
#### 分子動力學
* Abalone
* Ascalaph Designer
* GROMACS
* LAMMPS
* MDynaMix
* NAMD
* NWChem
#### 分子檢視器
* Avogadro
* BALLView
* Jmol
* Molekel
* MeshLab，能匯入 PDB 資料組並從中構建外觀
* PyMOL
* QuteMol
* RasMol
#### 奈米技術
* Ninithi—— 檢視並分析碳的同素異形體如碳奈米管、富勒烯、石墨烯奈米帶 | [
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] |
开放源代码软件列表 | #### 測繪
### 風險管理
* Active Agenda—— 操作風險管理及快速應用程式開發平台
### 統計學
* R 語言
### 調查
* LimeSurvey—— 線上調查系統
### 量子化學
* CP2K
* GAMESS (US)
## 輔助技術
### 演講（合成與辨識）
* CMU Sphinx—— 卡內基梅隆大學出的演講辨識軟體
* Emacspeak—— 桌面音訊
* ESpeak—— 英語和其他語言的緊湊型軟體語音合成器
* Festival Speech Synthesis System
* Modular Audio Recognition Framework—— 聲音、音訊和演說的 NLP 處理
* NonVisual Desktop Access——（NVDA）Windows 的螢幕閱讀器
* Text2Speech—— 輕量的易於使用的文字到語音（TTS）軟體
### 其他輔助技術
* Dasher—— 獨立的文字輸入軟體
* Gnopernicus——GNOME 2 的 AT 套件
* Virtual Magnifying Glass—— 跨平台的螢幕放大工具
## 資料儲存和管理
### 備份軟體
### 資料庫管理系統（含超級管理員）
### 資料探勘
* Environment for DeveLoping KDD-Applications Supported by Index-Structures (ELKI)—— 用 Java 寫成的資料探勘框架，注重於聚類及離群點檢測方法
* SCaViS—— 基於 Java 的資料分析框架
* Konstanz Information Miner (KNIME)
* OpenNN—— 用 C++ 程式語言寫成的開源神經網路軟體庫
* Orange (軟體)—— 對新手和專家開發的資料虛擬化和資料探勘，通過視覺化編程或 Python 指令碼。擴充於生物資訊學和文字挖掘。
* RapidMiner—— 用 Java 寫成的資料探勘軟體，充分整合 Weka，具有 350 多種操作，用於預處理、機器學習、視覺化等，預覽版以開放原始碼形式發布 | [
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] |
开放源代码软件列表 | * Scriptella ETL——ETL (Extract-Transform-Load) 和指令碼執行工具。支援與 J2EE 和 Spring 的整合。提供對 CSV、LDAP、XML、JDBC/ODBC 及其他資料來源的連接。
* Weka—— 用 Java 寫成的資料探勘軟體，具備用於分類、回歸和聚類機器學習操作
* JasperSoft—— 帶可程式化抽象層的資料探勘軟體
### 資料視覺化組件
* ParaView—— 桑迪亞國家實驗室開發的測繪和視覺化功能，使用多個電腦處理器的大規模並列視覺化的實現
* VTK——3D 電腦成像、圖像處理和視覺化工具
### 數位資產管理軟體
* OpenDAM，自由和開源數位資產管理軟體，用於企業內容管理整合，管理圖像、圖片和視訊檔。
### 磁碟分割區軟體
### 企業搜尋引擎
* ApexKB，舊稱 Jumper
* Lucene
* Nutch
* Solr
* Xapian
### ETL（Extract Transform Load）
* CloverETL 商業版
* Konstanz Information Miner (KNIME)
* Pentaho
* SpagoBI
* Talend
### 壓縮檔案管理器
### 檔案系統
* OpenAFS—— 支援非常多的作業系統的分散式檔案系統
* Tahoe-LAFS—— 具備隱私整合和安全特性的分散式檔案系統 / 雲端儲存系統
* CephFS—— 包含於 Ceph 儲存平台的分散式檔案系統
## 網路及網際網路
### 廣告
* OpenX
### 通訊相關
* Asterisk—— 電話和 VoIP 伺服器
* Ekiga—— 適用於 GNOME 和 Microsoft Windows 的影片會議軟體
* FreePBX—— 適用於 Asterisk 的前端和進階 PBX 組態
* FreeSWITCH—— 電話平台
* Jitsi——Java VoIP 和即時通訊客戶端
* QuteCom—— 自由的聲音、影片和 IM 客戶端應用
* sipX——SIP 通訊伺服器
* Slrn—— 新聞閱讀器
* Twinkle——VOIP 軟體電話
### E-mail
* Mozilla Thunderbird
### 檔案傳輸
### 即時通訊
### IRC 客戶端
### 中介軟體 | [
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] |
开放源代码软件列表 | * Apache Axis2——Web 服務架構（組件可以用 Java 和 C 實行）
* Apache Geronimo
* Bonita Open Solution（軟體）——J2EE web 應用和 Java BPMN2 執行引擎
* GlassFish 應用程式伺服器
* Jakarta Tomcat—— 伺服器小程式容器和獨立網頁伺服器
* JBoss 應用程式伺服器
* ObjectWeb JOnAS——Java Open Application Server，J2EE 應用伺服器
* SmartVariables—— 通用的網路共享物件的應用程式伺服器
* TAO (software)——OMG 的 CORBA 標準的 C++ 實現
### RSS/Atom 閱讀器 / 聚合器
* Akregator—— 執行於 KDE 的平台
* Liferea—— 執行於 GNOME 的平台
* RSS Bandit——Windows——.NET
* RSSOwl——Windows、Mac OS X、Solaris、Linux——Java SWT Eclipse
* Sage (Mozilla Firefox extension)
### P2P 檔案傳輸
### 門戶伺服器
* Drupal
* eXo Platform
* Liferay
* Oxwall—— 社群網站軟體
* Sun Java System Portal Server
* uPortal
### 遠端存取和管理
* FreeNX
* OpenVPN
* rdesktop
* Synergy
* VNC（RealVNC、TightVNC、UltraVNC）
* FreeRDP
* Remmina
### 路由軟體
### 網頁瀏覽器
### 網路攝錄影機
* Cheese
* Guvcview
### 網頁抓取器
* cURL
* HTTrack
* Wget
### Web 相關
* Apache Cocoon——web 應用框架
* Apache—— 最流行的網頁伺服器
* AWStats—— 紀錄檔檔案分析工具
* BookmarkSync—— 瀏覽器的工具
* Cherokee—— 快速、有特色的富 HTTP 伺服器
* CougarXML—— 用來解析和處理 XML 代碼的 Javascript 框架，基於 W3C DOM Level-3 規格 | [
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] |
开放源代码软件列表 | * curl-loader—— 強大的開源 HTTP/HTTPS/FTP/FTPS 載入和測試工具
* Hiawatha—— 安全、高效能且易於使用的 HTTP 伺服器
* HTTP File Server—— 帶拖拽介面的使用者友好型伺服器軟體
* lighttpd—— 節省資源且快速及功能完善的 HTTP 伺服器
* Lucee——CFML 應用伺服器
* nginx—— 輕量、高效能的 web 伺服器 / 反向代理和 e-mail（IMAP/POP3）代理
* NetKernel—— 網際網路應用伺服器
* Piwik——web 分析系統
* Qcodo——PHP5 框架
* Squid (software)——web 代理快取
* XAMPP—— 含有 Apache 和 MySQL 的 web 應用包
* Zope——web 應用伺服器
### 其他網路程式
* JXplorer——LDAP 客戶端
* OpenLDAP——LDAP 伺服器
* openVXI——VoiceXML 翻譯器
* YaCy—— 基於 P2P 的搜尋引擎
* ownCloud—— 檔案分享及同步伺服器
* Nextcloud—— 雲端檔案分享及同步伺服器
## 教育
### 教育套件
* ATutor—— 基於 web 的教學內容管理系統（Learning Content Management System，LCMS）
* Chamilo—— 基於 web 的電子教學和內容管理系統
* DoceboLMS
* eFront—— 基於圖示的教學管理系統
* FlightPath—— 大學的學術通知軟體
* GCompris
* Gnaural—— 腦波夾帶軟體
* IUP Portfolio
* ILIAS—— 基於 web 的教學管理系統（LMS）
* Moodle
* Omeka
* openSIS—— 基於 web 的學生資訊和學校管理系統
* Sakai Project—— 基於 web 的教學管理系統
* SWAD - 基於 web 的教學管理系統
* Tux Paint——3–12 歲兒童的畫圖應用
* Anki —— 基於間隔重複的字卡軟體
### 地理學
* KGeography
### 教學支援
### 語言
* Kiten
* KVerbos
### 文字輸入
* KTouch
* Tux Typing
### 其他教育軟體 | [
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] |
开放源代码软件列表 | * KEduca
## 檔案管理器
## 遊戲
### 應用層
* WINE
## 系譜
## 圖形化使用者介面
### 桌面環境
### 視窗管理員
### 視窗系統
## 群組軟體
### 內容管理系統
### Wiki
## 醫療服務軟體
## 媒體
### 2D 動畫
* KToon
* Pencil2D
* Synfig
* Tupi
### 3D 動畫
* Art of Illusion
* Blender
* K-3D
* OpenFX
* Seamless3d
### 音訊編輯器、管理器
* Audacity
### CD/USB 燒錄軟體
### Flash 動畫
* Pencil Animation
* SWFTools（用於指令碼）
### 圖形
### 圖庫
### 圖像檢視器
* Eye of GNOME
* F-spot
* Geeqie
* Gthumb
* Gwenview
* Kphotoalbum
* Opticks
### 多媒體編碼器、容器、分離器
### 電視
### 影片轉換器
* Dr. DivX
* FFmpeg
* MEncoder
* OggConvert
* Transcode
### 影片編輯器
* Avidemux
* AviSynth
* Blender
* Cinelerra
* DScaler
* DVD Flick
* Kaltura
* Kdenlive
* Kino
* LiVES
* OpenShot Video Editor
* Pitivi
* Shotcut
* VirtualDub
* VirtualDubMod
* VideoLAN Movie Creator——VLMC 是基於 libVLC 的非線性的用於影片建立的編輯應用程式，執行於 Windows、Linux 和 OS X。
### 影片解碼器
* Avidemux
* HandBrake
### 影片播放器
* VLC
* Media Player Classic
* mpv
### 其他媒體軟體套件
* Celtx—— 媒體預生產軟體
* GNOME Subtitles
## 作業系統
注意這些系統的可用發行版會包含或提供的版本和安裝 / 附加的不自由不開放原始碼的軟體。
### 模擬器和虛擬機器
* Virtual Box | [
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开放源代码软件列表 | ## 密碼管理器
* KeePass
* Password Safe
* Mitro
## 個人資訊管理器
* Chandler—— 由 OSAF 開發
* KAddressBook
* Kontact
* KOrganizer
* Mozilla Calendar—— 基於 Mozilla 的跨平台日曆軟體
* Novell Evolution
* OpenSync (軟體)
* Project.net—— 商業專案管理
* TeamLab—— 專案管理和合作平台
## 程式語言支援
### Bug 追蹤器
* Bugzilla
* Mantis
* Mindquarry
* Redmine
* Trac
### 碼產生器
* Bison
* CodeSynthesis XSD—— 適用於 C++ 的 XML Data Binding 編譯器
* CodeSynthesis XSD/e—— 適用於移動和嵌入式裝置的驗證 XML 解析器 / 串行器和 C++ XML Data Binding 生成器
* Flex lexical analyser—— 詞法剖析器
* Kodos
* Open Scene Graph——3D 圖型應用編程介面
* OpenSCDP—— 開放的智慧卡開發平台
* phpCodeGenie
* SableCC—— 適用於 Java 和.Net 的分析程式的生成程式
* SWIG—— 用於多種語言的簡化包裝和介面生成器
* ^txt2regex$
* xmlbeansxx—— 用於 C++ 的 XML Data Binding 碼產生器
* YAKINDU Statechart Tools—— 用於 C++ 和 Java 的狀態圖碼產生器
### 文件生成器
* Doxygen—— 用於撰寫軟體參考文件的工具。文件以代碼撰寫。
* Mkd—— 從原始碼檔案提取軟體文件，來自虛擬碼或注釋。
* Natural Docs—— 宣稱使用像從注釋輸入的那樣更自然的語言，由此得名。
### 組態軟體
* Autoconf
* Automake
* CMake
### 除錯器（用於測試故障檢測）
* GNU Debugger—— 用於許多程式語言
* Memtest86——x86 裝置的 RAM 壓力測試
* Xnee—— 記錄和回放測試
### 整合式開發環境
### 版本控制系統
## 螢幕保護裝置 | [
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] |
开放源代码软件列表 | * BOINC
* Electric Sheep
* XScreenSaver
## 安全
### 防毒
* ClamAV
* ClamWin
* Gateway Anti-Virus
* Lynis
### 資料遺失防護
* MyDLP
### 資料恢復
* dvdisaster
* Foremost
* PhotoRec
* TestDisk
#### 辨析工具
* The Coroner's Toolkit
* The Sleuth Kit
### 磁碟擦除
* DBAN
* srm
### 加密
* GnuPG
* GnuTLS
* KGPG
* OpenSSL
* Seahorse
#### 磁碟加密
* CrossCrypt
* FreeOTFE 和 FreeOTFE Explorer
* eCryptfs
* TrueCrypt
* VeraCrypt
### 防火牆
* Coyote Linux
* Firestarter
* IPCop
* IPFilter
* IPFire
* ipfw
* iptables
* M0n0wall
* PeerGuardian
* PF
* pfSense
* Rope
* Shorewall
* SmoothWall
* Untangle
* Vyatta
### 網路和安全監視
### SSH
* Cyberduck——Mac OS X 及 Windows 客戶端（4.0 版本起）
* Lsh—— 客戶端及伺服器端（支援 SRP 和 Kerberos 簽章）
* OpenSSH—— 客戶端 / 伺服器端
* PuTTY—— 僅客戶端
### 其他安全軟體
## 神學
### 聖經學習工具
* BibleDesktop — 用於跨平台
* BibleTime — 用於使用 KDE 的 Linux
* Go Bible — 用於 Java 手機
* jSword — 用於 Java
* MacSword — 用於 Mac OS X
* Marcion — 用於 Linux 和 Windows，使用 Qt UI 框架並嵌入 MySQL 伺服器
* openlp.org — 用於教堂的禮拜演示軟體以顯示歌曲、聖經、影片等
* SwordBible — 用於 Windows
* The SWORD Project for Windows — 用於 Windows | [
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开放源代码软件列表 | * Xiphos The\_SWORD\_Project — 用於 GNOME 的 Linux
## 排版
## 參見
### 一般目錄
## 參考資料
### 一般目錄
* Free Software Directory （頁面存檔備份，存於網際網路檔案館） — 自由軟體基金會的目錄
* Open Source Software Directory （頁面存檔備份，存於網際網路檔案館） — 按分類提供開源軟體組織列表
* Open Source Living （頁面存檔備份，存於網際網路檔案館） — 由社群管理的動態的開源軟體存檔
* Ohloh （頁面存檔備份，存於網際網路檔案館） — Ohloh 是人人可編輯的開源目錄
* AlternativeTo （頁面存檔備份，存於網際網路檔案館） - 使用者編寫的流行軟體的選擇物件 —— 開源軟體和非開源軟體都存在，所選物件以其許可發布，而不是要求使用者瀏覽有關目錄。
### 對 Windows 的開源
* List Of Open-source Programs (LOOP list) for Windows （頁面存檔備份，存於網際網路檔案館）
* TheOpenDisc.com Windows 的 OSS 預組裝盤（繼承至 TheOpenCD.org （頁面存檔備份，存於網際網路檔案館））
* The OSSwin project （頁面存檔備份，存於網際網路檔案館）: Open Source for Windows! | [
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扭量 | **扭量理論**是由英國數學家、物理學家羅傑・潘洛斯開創的一門主要用於解決廣義相對論和量子力學結合的數學工具。與迴圈量子重力理論有著緊密的關係而不同於超弦理論。 | [
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納米材料 | Template: 奈米材料**奈米材料**廣義上是三維空間中至少有一維處於奈米尺度範圍或者由該尺度範圍的物質為基本結構單元所構成的材料的總稱。由於奈米尺寸的物質具有與宏觀物質所迥異的表面效應、小尺寸效應、宏觀量子隧道效應和量子限域效應，因而奈米材料具有異於普通材料的光、電、磁、熱、力學、機械等性能。奈米材料的性能往往由量子力學決定。
歐盟執委會則將奈米材料定義為一種由基本顆粒組成的粉狀或團塊狀天然或人工材料，這一基本顆粒的一個或多個三維尺寸在 1 奈米至 100 奈米之間，並且這一基本顆粒的總數量在整個材料的所有顆粒總數中占 50% 以上。
根據物理形態劃分，奈米材料大致可分為奈米粉末（奈米顆粒）、奈米纖維（奈米管、奈米線）、奈米膜、奈米塊體和奈米相分離液體等五類。三維尺寸均為奈米量級的奈米粒子或人造原子被稱為零維奈米材料，奈米纖維為一維奈米材料，而奈米膜（片、層）可以稱為二維奈米材料，而有奈米結構的材料可以稱為三維奈米材料。目前碳奈米管（carbon nanotube）是奈米科技的研究熱點之一。
目前只有奈米粉末實現了工業化生產（如碳酸鈣、白炭黑、氧化鋅等），其它奈米材料基本上還處於實驗室研究階段。
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RSA公钥加密算法 | **RSA 加密演算法**是一種非對稱加密演算法，在公開金鑰加密和電子商業中被廣泛使用。RSA 是由羅納德・李維斯特（Ron Rivest）、阿迪・薩莫爾（Adi Shamir）和倫納德・阿德曼（Leonard Adleman）在 1977 年一起提出的。當時他們三人都在麻省理工學院工作。RSA 就是他們三人姓氏開頭字母拼在一起組成的。
1973 年，在英國政府通訊總部工作的數學家克里福・柯克斯（Clifford Cocks）在一個內部檔案中提出了一個與之等效的演算法，但該演算法被列入機密，直到 1997 年才得到公開。
對極大整數做因數分解的難度決定了 RSA 演算法的可靠性。換言之，對一極大整數做因數分解愈困難，RSA 演算法愈可靠。假如有人找到一種快速因數分解的演算法的話，那麼用 RSA 加密的訊息的可靠性就會極度下降。但找到這樣的演算法的可能性是非常小的。今天只有短的 RSA 鑰匙才可能被強力方式破解。到 2020 年為止，世界上還沒有任何可靠的攻擊 RSA 演算法的方式。只要其鑰匙的長度足夠長，用 RSA 加密的訊息實際上是不能被破解的。
1983 年 9 月 12 日麻省理工學院在美國為 RSA 演算法申請了專利。這個專利於 2000 年 9 月 21 日失效。由於該演算法在申請專利前就已經被發表了，在世界上大多數其它地區這個專利權不被承認。
## 操作
### 公鑰與私鑰的產生
假設 Alice 想要通過不可靠的媒體接收 Bob 的私人訊息。她可以用以下的方式來產生一個**公鑰**和一個**私鑰**：
1. 隨意選擇兩個大的質數 $p$ 和 $q$ ， $p$ 不等於 $q$ ，計算 $N=pq$ 。
2. 根據歐拉函數，求得 $r=\varphi (N)=\varphi (p)\times \varphi (q)=(p-1)(q-1)$
3. 選擇一個小於 $r$ 的整數 $e$ ，使 $e$ 與 $r$ 互質。並求得 $e$ 關於 $r$ 的模反元素，命名為 $d$ （求 $d$ 令 $ed\equiv 1{\pmod {r}}$ ）。（模反元素存在，若且唯若 $e$ 與 $r$ 互質）
4. 將 $p$ 和 $q$ 的記錄銷毀。
$(N,e)$ 是公鑰， $(N,d)$ 是私鑰。Alice 將她的公鑰 $(N,e)$ 傳給 Bob，而將她的私鑰 $(N,d)$ 藏起來。
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RSA公钥加密算法 | 假設 Bob 想給 Alice 送訊息 $m$ ，他知道 Alice 產生的 $N$ 和 $e$ 。他使用起先與 Alice 約好的格式將 $m$ 轉換為一個小於 $N$ 的非負整數 $n$ ，比如他可以將每一個字轉換為這個字的 Unicode 碼，然後將這些數字連在一起組成一個數字。假如他的訊息非常長的話，他可以將這個訊息分為幾段，然後將每一段轉換為 $n$ 。用下面這個公式他可以將 $n$ 加密為 $c$ ：
: $c=n^{e}{\bmod {N}}$
計算 $c$ 並不複雜。Bob 算出 $c$ 後就可以將它遞移給 Alice。
### 解密訊息
Alice 得到 Bob 的訊息 $c$ 後就可以利用她的金鑰 $d$ 來解碼。她可以用以下這個公式來將 $c$ 轉換為 $n$ ：
: $n=c^{d}{\bmod {N}}$
得到 $n$ 後，她可以將原來的訊息 $m$ 重新復原。
解碼的原理是
: $c^{d}\equiv n^{e\cdot d}\ (\mathrm {mod} \ N)$
已知 $ed\equiv 1{\pmod {r}}$ ，即 $ed=1+h\varphi (N)$ 。那麼有
: $n^{ed}=n^{1+h\varphi (N)}=n\cdot n^{h\varphi (N)}=n\left(n^{\varphi (N)}\right)^{h}$
若 $n$ 與 $N$ 互質，則由歐拉定理得：
: $n^{ed}\equiv n\left(n^{\varphi (N)}\right)^{h}\equiv n(1)^{h}\equiv n{\pmod {N}}$
若 $n$ 與 $N$ 不互質，則不失一般性考慮 $n=ph$ ，以及 $ed-1=k(q-1)$ ，得：
: $n^{ed}=(ph)^{ed}\equiv 0\equiv ph\equiv n{\pmod {p}}$
: $n^{ed}=n^{ed-1}n=n^{k(q-1)}n=(n^{q-1})^{k}n\equiv 1^{k}n\equiv n{\pmod {q}}$
故 $n^{ed}\equiv n{\pmod {N}}$ 得證。
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RSA公钥加密算法 | RSA 也可以用來為一個訊息署名。假如 Alice 想給 Bob 遞移一個署名的訊息的話，那麼她可以為她的訊息計算一個雜湊值（Message digest），然後用她的私鑰「加密」（如同前面「加密訊息」的步驟）這個雜湊值並將這個「署名」加在訊息的後面。這個訊息只有用她的公鑰才能被解密。Bob 獲得這個訊息後可以用 Alice 的公鑰「解密」（如同前面「解密訊息」的步驟）這個雜湊值，然後將這個資料與他自己為這個訊息計算的雜湊值相比較。假如兩者相符的話，那麼 Bob 就可以知道發信人持有 Alice 的私鑰，以及這個訊息在傳播路徑上沒有被篡改過。
## 正確性證明
首選取兩個互質數 $p$ 和 $q$ ,
乘法計算 $p*q$ 得到 $N$ 。
然後計算出歐拉 $\Phi (N)$ ：
$\Phi $ 函數 $\Phi (N)$ 是小於或等於 $N$ 的正整數中與 $N$ 互質的數的數目。
根據歐拉公式，由於 $p$ 和 $q$ 都是質數，故
: $\Phi (N)=(p-1)(q-1)$
這時候我們隨機選擇一個整數 $e$ ，條件是 $1<e<\Phi (N)$ ，且 $e$ 與 $\Phi (N)$ 互質。
接著我們計算 $e$ 對 $\Phi (N)$ 的模反元素得到 $d$ ：
: $e*d\equiv 1(mod\Phi (N))$
這個公式簡單的說就是 $e*d$ 除以 $\Phi (N)$ 得到的餘數為 1，這個公式可以轉換成
: $ed\ \%\ ((p-1)(q-1))=1$
即
: $ed=k(p-1)(q-1)+1$
---
於是，RSA 公鑰為 $(N,e)$ , 私鑰為 $(N,d)$ 。
加密原文 $m$ 得到密文
: $x=m^{e}\%N$
解密公式為
: $m=x^{d}\%N$
---
**證明解密邏輯：**
在 $m<N$ 的狀況下證明 $m=x^{d}\%N$ ，就是證明 $x^{d}\%N-m=0$
$$
x^{d}\%N-m
$$
$$
=(m^{e}\%N)^{d}\%N-m
$$
$$
=m^{ed}\%N-m\quad \because a^{b}\%p=((a\%p)^{b})\%p
$$
$$
=m^{k(p-1)(q-1)+1}\%N-m
$$
$$
=m*(m^{k(p-1)(q-1)}-1)\%N
$$ | [
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RSA公钥加密算法 | 當 m 與 N 互質時，根據費馬小定理公式
$$
a^{p-1}\equiv 1(mod\ p)
$$
$$
\Rightarrow (m^{k(q-1)})^{p-1}\equiv 1(mod\ p)
$$
$$
\Rightarrow (m^{k(p-1)})^{q-1}\equiv 1(mod\ q)
$$
$$
\Rightarrow m^{k(p-1)(q-1)}\equiv 1(mod\ pq)
$$
$$
\Rightarrow m^{k(p-1)(q-1)}\equiv 1(mod\ N)
$$
$$
\Rightarrow m*(m^{k(p-1)(q-1)}-1)\%N=0
$$
當 m 與 N 不互質時，不妨設公因子為 p，即 $m=ph_{1}(h_{1}<q)$
假設 q 整除 m。因此 $q\mid ph_{1}$ ，因為 q 與 p 互質，根據歐幾里德引理， $q\mid h_{1}$ 。所以 $q\leq h_{1}$ ，而這與 $h_{1}<q$ 矛盾，所以 q 不整除 m。
此時 m 與 q 互質，根據費馬小定理公式
$$
a^{p-1}\equiv 1(mod\ p)
$$
$$
\Rightarrow m^{q-1}\equiv 1(mod\ q)
$$
$$
\Rightarrow m^{k(p-1)(q-1)}\equiv 1(mod\ q)
$$
$$
\Rightarrow m^{k(p-1)(q-1)}-1=qh_{2}
$$
$\Rightarrow m*(m^{k(p-1)(q-1)}-1)\%N=ph_{1}*qh_{2}\%N=Nh_{1}h_{2}\%N=0$ , 證明完成。
## 安全性
假設偷聽者 Eve 獲得了 Alice 的公鑰 $N$ 和 $e$ 以及 Bob 的加密訊息 $c$ ，但她無法直接獲得 Alice 的金鑰 $d$ 。要獲得 $d$ ，最簡單的方法是將 $N$ 分解為 $p$ 和 $q$ ，這樣她可以得到同餘方程式 $de\equiv 1(\mathrm {mod} (p-1)(q-1))$ 並解出 $d$ ，然後代入解密公式
: $c^{d}\equiv n\ (\mathrm {mod} \ N)$ | [
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RSA公钥加密算法 | 匯出 _n_（破密）。但至今為止還沒有人找到一個多項式時間的演算法來分解一個大的整數的因子，同時也還沒有人能夠證明這種演算法不存在（見因數分解）。
至今為止也沒有人能夠證明對 $N$ 進行因數分解是唯一的從 $c$ 匯出 $n$ 的方法，直到今天也還沒有找到比它更簡單的方法。（至少沒有公開的方法。）
因此今天一般認為只要 $N$ 足夠大，那麼駭客就沒有辦法了。
假如 $N$ 的長度小於或等於 256 位，那麼用一台個人電腦在幾個小時內就可以分解它的因子了。1999 年，數百台電腦合作分解了一個 512 位元長的 $N$ 。一個由 Shamir 和 Tromer 在 2003 年從理論上構建的硬體 TWIRL，使人們開始質疑 1024 位元長的 N 的安全性，目前推薦 $N$ 的長度至少為 2048 位元。
1994 年，彼得・秀爾證明一台量子電腦可以在多項式時間內進行因數分解。假如量子電腦有朝一日可以成為一種可行的技術的話，那麼秀爾的演算法可以淘汰 RSA 和相關的衍生演算法。（即依賴於分解大整數困難性的加密演算法）
假如有人能夠找到一種有效的分解大整數的演算法的話，或者假如量子電腦可行的話，那麼在解密和製造更長的鑰匙之間就會展開一場競爭。但從原理上來說 RSA 在這種情況下是不可靠的。
## 實現細節
### 金鑰生成
首先要使用機率演算法來驗證隨機產生的大的整數是否質數，這樣的演算法比較快而且可以消除掉大多數非質數。假如有一個數通過了這個測試的話，那麼要使用一個精確的測試來保證它的確是一個質數。
除此之外這樣找到的 $p$ 和 $q$ 還要滿足一定的要求，首先它們不能太靠近，此外 $p-1$ 或 $q-1$ 的因子不能太小，否則的話 $N$ 也可以被很快地分解。
此外尋找質數的演算法不能給攻擊者任何訊息，這些質數是怎樣找到的，尤其產生亂數的軟體必須非常好。要求是隨機**和**不可預測。這兩個要求並不相同。一個隨機過程可能可以產生一個不相關的數的系列，但假如有人能夠預測出（或部分地預測出）這個系列的話，那麼它就已經不可靠了。比如有一些非常好的亂數演算法，但它們都已經被發表，因此它們不能被使用，因為假如一個攻擊者可以猜出 $p$ 和 $q$ 一半的位的話，那麼他們就已經可以輕而易舉地推算出另一半。 | [
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Subsets and Splits