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麥克斯韋-玻爾茲曼分佈 | : $f(v)={\sqrt {{\frac {2}{\pi }}\left({\frac {m}{kT}}\right)^{3}}}\,v^{2}\exp \left({\frac {-mv^{2}}{2kT}}\right)$
其中速率 _v_ 定義為：
: $v={\sqrt {v_{x}^{2}+v_{y}^{2}+v_{z}^{2}}}$
注意：在這個方程式中，f (v) 的單位是機率每速率，或僅僅是速率的倒數，如右圖那樣。
由於速率是三個獨立、呈常態分布的速度分量的平方之和的平方根，因此這個分布是馬克士威 - 波茲曼分布。
我們通常更感興趣於粒子的平均速率，而不是它們的實際分布。平均速率、最概然速率（眾數），以及均方根速率可以從馬克士威 - 波茲曼分布的性質獲得。
### 典型的速率
雖然以上的方程式給出了速率的分布，或具有特定速率的分子的比例，我們通常更感興趣於粒子的平均速率，而不是它們的實際分布。
#### 最概然速率 (最大可能速率)
最概然速率 _v_p，是系統中任何分子最有可能具有的速率，對應於 _f_(_v_) 的最大值或眾數。要把它求出來，我們計算 _df_/_dv_，依極值法，將其設為零，然後對 _v_ 求解：
: ${\frac {df(v)}{dv}}=0$
得出：
: $v_{p}={\sqrt {\frac {2kT}{m}}}={\sqrt {\frac {2RT}{M}}}$
其中 _R_ 是氣體常數，_M_ = _NA__m_ 是物質的莫耳質量。
對於室溫（300K）下的氮氣（空氣的主要成分），可得 $v_{p}=422$ m/s。
#### 平均速率
平均速率是速率分布的數學期望：
: $\langle v\rangle =\int _{0}^{\infty }v\,f(v)\,dv={\sqrt {\frac {8kT}{\pi m}}}={\sqrt {\frac {8RT}{\pi M}}}$
近似得：
: $\langle v\rangle ={\sqrt {\frac {8RT}{\pi M}}}\approx 1.6{\sqrt {\frac {K_{b}T}{m}}}\approx 1.6{\sqrt {\frac {RT}{M}}}$
#### 方均根速率
方均根速率 _v_rms 是速率的平方的平均值的平方根： | [
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麥克斯韋-玻爾茲曼分佈 | : $v_{\mathrm {rms} }=\left(\int _{0}^{\infty }v^{2}\,f(v)\,dv\right)^{1/2}={\sqrt {\frac {3kT}{m}}}={\sqrt {\frac {3RT}{M}}}$
#### 三種典型速率的關係
它們具有以下的關係：
: $v_{p}:v_{average}:v_{\mathrm {rms} }\approx 1:1.128:1.224$ 。
#### 非統計的推導方式
馬克斯威 - 波茲曼速率分布也可直接由氣體速率均向性以及分離變數的假設以微分方程式計算得到指數函數之形式，微分方程式解的未定數項則由粒子總數以及方均根速率和波茲曼常數的氣體動力論關係兩者聯立得解。詳見外部連結.
### 相對論氣體的速率分布
當氣體越來越熱時，_kT_ 趨於或超過 _mc2_，這個相對論馬克士威氣體的速率分布由 Maxwell-Juttner 分布給出：:
: $f(\gamma )={\frac {\gamma ^{2}\beta }{\theta K_{2}(1/\theta )}}\mathrm {exp} \left(-{\frac {\gamma }{\theta }}\right)\qquad (11)$
其中 $\beta ={\frac {v}{c}},$ $\gamma ={\frac {1}{\sqrt {1-{\beta ^{2}}}}},$ $\theta ={\frac {kT}{mc^{2}}},$ 和 $K_{2}$ 是第二類變形貝索函數。
## 參考文獻
## 外部連結
* Maxwell Distribution at Mathworld
* 簡易推導 (非統計)
* 詳細推導 (非統計)
## 參見
* 波茲曼因子
* 瑞立分布
* 理想氣體狀態方程式
* 詹姆斯・克拉克・馬克士威
* 分子運動論 | [
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Α衰變 | **α 衰變**（英語：Alpha decay），又稱 **alpha 衰變**，是一種放射性衰變（核衰變）；發生 α 衰變時，一顆 α 粒子會從原子核中射出（附註：α 粒子，又名阿爾法粒子，即氦 - 4 核，4
2He
，即一顆由 2 顆質子和 2 顆中子組成的原子核）； α 衰變發生後，原子核的質量數會減少 4 個單位，其原子序也會減少 2 個單位。
下面之反應式式（I）是 α 衰變的一個例子。例如，鈾 - 238 通過 α 粒子發射的衰減以形成釷 - 234 可以表示為：
${}^{2}{}_{92}^{38}{\hbox{U}}\;\to \;{}^{2}{}_{90}^{34}{\hbox{Th}}\;+\;{}_{2}^{4}{\hbox{He}}$
式（I）也可寫成式（II）：
$$
{}^{238}{\hbox{U}}\;\to \;^{234}{\hbox{Th}}\;+\;\alpha
$$
α 衰變是一種核分裂，當中涉及量子物理學中的穿隧效應，和 β 衰變不同的是 α 衰變是由強核力力場產生和控制。
一顆 α 粒子帶有 5 百萬電子伏特的動能（約等於一顆 α 粒子的總能量的 0.13%），其移動速度是每秒 15,000 公里，即是只達到 5% 光速（光速是時速 1,079,252,848.8 公里，每秒 300,000 公里）；由於 α 粒子相對大的質量，其 + 2 的電荷，以及相對慢的移動速度，它們實在太容易就會和其他原子核和粒子反應及失去其能量，α 粒子在幾厘米厚度的空氣內就會被吸收。
地球上大多數的氦氣都是來自地下蘊藏的礦物，如鈾和釷的 α 衰變產生的。
## 參看
* α 粒子
* β 衰變
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電波 | **電磁輻射**是由源傳遞電磁場能量到空間的現象，其波動形式為電磁波。電磁波在空間中以波的形式傳遞能量和動量。古典電磁學裡，電磁波由同相振盪的電場與磁場組成。在均質且各向同性的介質中，電場與磁場的振盪方向互相垂直，並且垂直於波與能量的傳播方向，形成橫波。
電磁輻射的量子形式是光子。電磁波不需要依靠介質進行傳播，在真空中傳播速度為光速。電磁波可按照頻率分類，從低頻率到高頻率，主要包括無線電波、微波、兆赫輻射、紅外線、可見光、紫外線、X 射線和伽馬射線。人眼可接收到的電磁波，波長大約在 380 至 780nm 之間，稱為可見光。只要是本身溫度大於絕對零度的物體，除了暗物質以外，都可以發射電磁輻射，而世界上並不存在溫度等於或低於絕對零度的物體，因此，人們周邊所有的物體時刻都在進行電磁輻射。儘管如此，只有處於可見光頻域以內的電磁波，才可以被人們肉眼看到，對於不同的生物，各種電磁波頻段的感知能力也有所不同。
## 發現歷史
在可見光波長以外的電磁輻射被發現於 19 世紀初期。紅外線輻射的發現歸因於天文學家威廉・赫歇爾，他於 1800 年在倫敦皇家學會發表了他的成果。
電磁波首先由詹姆斯・馬克士威於 1865 年預測出來，而後由德國物理學家海因里希・赫茲於 1887 年至 1888 年間在實驗中證實存在。馬克士威推導出電磁波方程式，一種波動方程式，這清楚地顯示出電場和磁場的波動本質。因為電磁波方程式預測的電磁波速度與光速的測量值相等，馬克士威推論光波也是電磁波。無線電波被海因里希・赫茲在 1887 年第一個刻意產生，使用電路計算出比可見光低得多的頻率上產生振盪，隨之產生了由馬克士威方程式所建議的振盪電荷和電流。赫茲還開發檢測這些電波的方法，並產生和特徵化這些後來被稱為無線電波和微波。
威廉・倫琴發現並命名了 X 射線。 在 1895 年 11 月 8 日的應用於真空管上的高電壓試驗後，他注意到在附近的鍍膜玻璃板的熒光。在一個月內，他發現了 X 射線的主要性質。
## 概念
電動力學專門研究電磁波的物理行為，是電磁學的分支。在電動力學裏，根據馬克士威方程組，隨著時間變化的電場產生了磁場，反之亦然。因此，一個振盪中的電場會產生振盪的磁場，而一個振盪中的磁場又會產生振盪的電場，這樣子，這些連續不斷同相振盪的電場和磁場共同地形成了電磁波。 | [
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電波 | 電場，磁場都遵守疊加原理。因為電場和磁場都是向量場，所有的電場向量和磁場向量都適合做向量加運算。例如，一個行進電磁波，入射於一個介質，會引起介質內的電子振盪，因而使得它們自己也發射電磁波，因而造成折射或繞射等等現象。
在非線性介質內（例如，某些晶體），電磁波會與電場或磁場產生交互作用，這包括法拉第效應、克爾效應等等。
當電磁波從一種介質入射於另一種介質時，假若兩種介質的折射率不相等，則會產生折射現象，電磁波的方向和速度會改變。斯涅爾定律專門描述折射的物理行為。
假設，由很多不同頻率的電磁波組成的光波，從空氣入射於稜鏡。而因為菱鏡內的材料的折射率跟電磁波的頻率有關，會產生色散現象：光波會色散成一組可觀察到的電磁波譜。
量子電動力學是描述電磁輻射與物質之間的交互作用的量子理論。電磁波不但會展示出波動性質，它還會展示出粒子性質（參閱波粒二象性）。這些性質已經在很多物理實驗中證實，例如，楊氏雙縫實驗展示出電磁波的波動性質、光電效應展示出電磁波的粒子性質。有時候，波動性質和粒子性質會出現於同一個實驗，例如，在雙縫實驗裏，當單獨光子被發射於兩條細縫時，單獨光子會穿過這兩條細縫，自己與自己干涉，就好像波動運動一樣。可是，它只會被光電倍增管偵測到一次。當單獨光子被發射於馬赫 - 曾德爾干涉儀或其它種干涉儀時，也會觀測到類似的自我干涉現象。
### 波動模型
波是由很多前後相繼的波峰和波谷所組成，兩個相鄰的波峰或波谷之間的距離稱為波長。電磁波的波長有很多不同的尺寸，從非常長的無線電波（有一個足球場那麼長）到非常短的伽馬射線（比原子半徑還短）。
描述光波的一個很重要的物理參數是頻率。一個波的頻率是它的振盪率，國際單位制單位是赫茲。每秒鐘振盪一次的頻率是一赫茲。頻率與波長成反比：
: $v=\nu \lambda \,\!$ ；
其中， $v\,\!$ 是波速（在真空裏是光速；在其它介質裏，小於光速）， $\nu \,\!$ 是頻率， $\lambda \,\!$ 是波長。
當波從一個介質傳播至另一個介質時，波速會改變，但是頻率不變。
干涉是兩個或兩個以上的波，疊加形成新的波樣式。假若這幾個電磁波的電場同方向，磁場也同方向，則這干涉是建設性干涉；反之，則是摧毀性干涉。
電磁波的能量，又稱為輻射能。這能量，一半儲存於電場，另一半儲存於磁場。用方程式表達： | [
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電波 | : $u={\frac {1}{2\mu _{0}}}B^{2}+{\frac {\epsilon _{0}}{2}}E^{2}\,\!$ ；
其中， $u\,\!$ 是單位體積的能量， $E\,\!$ 是電場數值大小， $B\,\!$ 是磁場數值大小， $\epsilon _{0}\,\!$ 是電常數， $\mu _{0}\,\!$ 是磁常數。
### 粒子模型和量子理論
電磁輻射擁有像粒子的性質。電磁輻射是由離散能量的波包形成的，這波包又稱為量子，或光子。光子的能量與電磁輻射的頻率成正比。由於光子可以被帶電粒子吸收或發射，光子承擔了一個重要的角色：能量的傳輸者。根據普朗克 - 愛因斯坦關係式，光子的能量是
: $E=h\nu \,\!$ ；
其中， $E\,\!$ 是能量， $h\,\!$ 是普朗克常數， $\nu \,\!$ 是頻率。
光子的動量 $p\,\!$ 與頻率、波長之間的關係為
: $p={\frac {E}{c}}={\frac {h\nu }{c}}={\frac {h}{\lambda }}\,\!$ ；
當一個光子被原子吸收的同時，也會激發它的束縛電子，將電子的能級升高。假若光子給出的能量足夠大，電子可能會逃離原子核的束縛吸引，成為自由電子。這程序稱為光離化 。逆反過來，一個躍遷至較低能級的電子，會發射一個能量等於能級差額的光子。由於原子內的電子能級是離散的，每一種原子只能發射和吸收它的特徵頻率的光子。
綜合在一起，這些效應解釋了光波的吸收光譜。在介質內的原子，因為吸收不同頻率的光波，造成了光譜的 "暗線"。光波所通過的介質的組成成分，決定了吸收光譜的表徵。舉例而言，一個遙遠的恆星的光譜，其暗線與恆星的大氣塵的原子組合有關．這些暗線對應於原子的容許能級。類似的現象也會發生於光波的發射．當電子從高能級量子態躍遷至低能級量子態的同時，光波也會被發射出來，其能量等於兩個能級的差值。這現象顯現於星雲的發射光譜。今天，科學家用這現象來觀測恆星的內部結構．這現象的紅移被用來計算恆星離地球的距離。
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電波 | 呈加速運動的電荷或隨著時間而變化的電磁場，會產生電磁輻射。在自由空間裏，電磁輻射以光速傳播。準確的計算其物理行為必須引用推遲時間的概念。這會增加電場和磁場的表達式的複雜程度（參閱傑斐緬柯方程式）。這些多加的項目詳細地描述電磁輻射的物理行為。當任意一根導線（或別種導電體，像天線）傳導交流電的時候，同頻率的電磁輻射也會被發射出來。
在量子層次面，當帶電粒子的波包振盪或加速時，會產生電磁輻射帶電粒子的量子態可以用幾個本徵量子態的含時形式的疊加來表達（請參閱雙態系統）。當系統處於穩定狀態時，由於含時形式會被其複共軛刪除，帶電粒子處於每一個本徵量子態的機率是常數。但是，當系統被微擾時（例如，外電場被開啟），機率變為跟時間有關。帶電粒子處於某本徵量子態的機率會隨時間而變化。這樣，帶電粒子會從某個本徵量子態躍遷至另外一個本徵量子態，因而產生電磁輻射。
依狀況的不同，電磁輻射的物理行為，可能像波動，又可能像粒子。從波動角度，電磁輻射的主要物理特徵是速度、波長、頻率。從粒子角度，電磁輻射是由一群稱為光子的粒子組成。每一個光子的能量 $E\,\!$ 與波動的頻率 $\nu \,\!$ 的關係則是由普朗克關係式給出：
: $E=h\nu \,\!$ ；
其中， $h\,\!$ 是普朗克常數。
不論是粒子還是波動，電磁輻射必然遵守一條定則：不管觀察者的速度有多快或多慢，相對於觀察者，電磁波永遠以光速傳播於真空。愛因斯坦從這洞察發展出狹義相對論，成為狹義相對論的第二條基本原理。
在其它不同於真空的介質內，電磁波傳播的速度會小於光速。一個介質的折射率 $n\,\!$ 是光速 $c\,\!$ 與電磁波傳播於介質的速度 $v\,\!$ 的比例：
: $n=c/v\,\!$ 。
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電波 | 物質的基本結構，是由一群帶電粒子，以各種不同的方式結合組成。當電磁波入射於物質時，會造成物質的帶電粒子的振盪和能量增加。這些能量最終的命運依狀況而定。它們很可能會立刻被重新輻射，成為反射輻射或透射輻射。它們也很可能會消散成為物質內的其它微觀運動，達成熱平衡後，再轉以熱能的形式出現。除了少數像螢光、非線性光學效應（nonlinear optical effect）、光化學反應（photochemical reaction） 和光生伏打效應（photovoltaic effect）等等例子以外，被吸收的電磁波大多會直接地存入其能量，因而將物質加熱。對於紅外輻射和非紅外輻射，都會發生這樣的物理行為。強烈的無線電波能夠熱灼傷活生生的細胞組織，也能夠煮熟食物。紅外線雷射，足夠強烈的可見光雷射和紫外線雷射，都可以很容易地點燃紙張。離子化電磁波可以使得物質內的電子擁有高動能，因而破壞其化學鍵。但是在電子與其它原子碰撞多次後，最終大部分的能量會轉換為熱能。這整個程序只需短短的幾分之一秒。很多人士都認為，紅外線波是熱的一種形式，而其它電磁波不是．這是一個錯誤的物理概念。任何被吸收的電磁波都可以使物質加熱。
吸收輻射的逆反程序是熱輻射。在物質內部大部分的熱能都歸功於帶電粒子的隨機運動。這能量可以從物質內被輻射出。形成的輻射可能後來又被另外一個物質吸收。存入的能量會使物質加熱。熱輻射是熱傳輸的一個很重要的機制。
在一個不透明的空腔內，在熱平衡狀況，電磁波可以等效地視為熱能的一種形式，擁有最大的輻射熵。就像物質一樣，電磁波的熱力勢也是良好定義的。空腔內的熱輻射的能量密度（參閱普朗克定律）是
: ${U \over V}={\frac {8\pi ^{5}(kT)^{4}}{15(hc)^{3}}}\,\!$ ；
其中， $U$ 是空腔中電磁場的總能量， $V$ 是空腔的體積， $k$ 是波茲曼常數， $T$ 是空腔內部溫度， $c$ 是光速。
取對於溫度的導數，電磁場的有效比熱容量 $C_{V}\,\!$ 是
: $C_{V}={\frac {32\pi ^{5}k^{4}T^{3}}{15(hc)^{3}}}\,\!$ 。
## 電磁波譜 | [
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電波 | 按照波長長短，從長波開始，電磁波可以分類為無線電波、微波、紅外線、可見光、紫外線、X - 射線和伽馬射線等等。普通實驗使用的光譜儀就足以分析從 2 奈米到 2500 奈米波長的電磁波。使用這種儀器，可以得知物體、氣體或甚至恆星的詳細物理性質。這是天文物理學的必備儀器。例如，因為超精細分裂，氫原子會發射波長為 21.12 公分的無線電波。
人類眼睛可以觀測到波長大約在 380 奈米和 780 奈米之間的電磁輻射，稱為『可見光』。
每一種電極性分子，會對應著某些特定頻率的微波，使得電極性分子隨著振蕩電場一起旋轉，這機制稱為電介質加熱（dielectric heating）。由於這種機制（不是熱傳導機制），電極性分子會吸收微波的能量。微波爐就是應用這運作原理，通過水分子的旋轉，更均勻地將食物加熱，減少等候時間。
## 從電磁理論推導
馬克士威方程組可以描述電磁波的普遍物理現象。在自由空間裏，源項目等於零（源電荷等於零，源電流等於零）。除了沒有任何事發生的解以外（電場和磁場都等於零），方程式仍舊允許不簡單的解，電場和磁場隨著時間和位置變化。採用國際單位制，處於自由空間狀況的馬克士威方程組表達為
: $\nabla \cdot \mathbf {E} =0\,\!$ 、（1）
: $\nabla \times \mathbf {E} =-{\frac {\partial \mathbf {B} }{\partial t}}\,\!$ 、（2）
: $\nabla \cdot \mathbf {B} =0\,\!$ 、（3）
: $\nabla \times \mathbf {B} =\mu _{0}\epsilon _{0}{\frac {\partial \mathbf {E} }{\partial t}}\,\!$ ；（4）
其中， $\mathbf {E} \,\!$ 是電場， $\mathbf {B} \,\!$ 是磁場， $\epsilon _{0}\,\!$ 是真空電容率， $\mu _{0}\,\!$ 是真空磁導率。
滿足上述條件的一個解是 $\mathbf {E} =\mathbf {B} =\mathbf {0} \,\!$ ，然而這是一個平庸解，並沒有甚麼有意思的物理意義。若想得到有意思的解答，必須稍做一些運算。取公式（2）的旋度， | [
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電波 | : $\nabla \times \left(\nabla \times \mathbf {E} \right)=\nabla \times \left(-{\frac {\partial \mathbf {B} }{\partial t}}\right)\,\!$ 。（5）
應用一個向量恆等式，再將公式（1）代入，則可得到：
: $\nabla \times \left(\nabla \times \mathbf {E} \right)=\nabla \left(\nabla \cdot \mathbf {E} \right)-\nabla ^{2}\mathbf {E} =-\nabla ^{2}\mathbf {E} \,\!$ 。（6）
應用公式（4），公式（5）右邊變為
: $\nabla \times \left(-{\frac {\partial \mathbf {B} }{\partial t}}\right)=-{\frac {\partial }{\partial t}}\left(\nabla \times \mathbf {B} \right)=-\mu _{0}\epsilon _{0}{\frac {\partial ^{2}\mathbf {E} }{\partial t^{2}}}\,\!$ 。（7）
將公式（6）和（7）代回公式（5），可以得到電場的波動方程式：
:
使用類似的方法，可以得到磁場的波動方程式：
:
這兩個方程式就是真空的電磁波方程式，描述傳播於真空的電磁波。更簡易地表達，
: $\Box \mathbf {E} =0\,\!$ 、
: $\Box \mathbf {B} =0\,\!$ ；
其中， $\Box =\nabla ^{2}-{\frac {1}{{v_{0}}^{2}}}{\frac {\partial ^{2}}{\partial t^{2}}}\,\!$ 是達朗白算符， $v_{0}={\frac {1}{\sqrt {\mu _{0}\epsilon _{0}}}}\,\!$ 是波動傳播的速度。 | [
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電波 | 在自由空間裏， $v_{0}\,\!$ 是光速 $c\,\!$ 。馬克士威方程組連結了三個基本物理量：真空電容率 $\epsilon _{0}\,\!$ 、真空磁導率 $\mu _{0}\,\!$ 和光速 $c\,\!$ 。這組關係是在馬克士威的電動力學發展之前就由威廉・愛德華・韋伯與魯道夫・科爾勞施發現，但馬克士威是首個創造與波在光速傳播相一致的場論的人。
前面已經找到了兩個方程式。但是馬克士威方程組有四個方程式，所以，還有很多重要的訊息隱藏在這個方程式裏。思考一個一般的電場向量波動的解，
: $\mathbf {E} =\mathbf {E} _{0}f\left(\mathbf {k} \cdot \mathbf {r} -\omega t\right)\,\!$ ；
其中， $\mathbf {E} _{0}\,\!$ 是常數振幅， $f(...)\,\!$ 是任意二次可微函數， $\mathbf {k} \,\!$ 是波向量， $\mathbf {r} _{0}\,\!$ 是位置向量， $\omega \,\!$ 是角頻率。
波動方程式 $\Box \mathbf {f} =0\,\!$ 的通解是 $f\left(\mathbf {k} \cdot \mathbf {r} -\omega t\right)\,\!$ 。也就是說，
: $\nabla ^{2}f\left(\mathbf {k} \cdot \mathbf {r} -\omega t\right)={\frac {1}{{c_{0}}^{2}}}{\frac {\partial ^{2}}{\partial t^{2}}}f\left(\mathbf {k} \cdot \mathbf {r} -\omega t\right)\,\!$ 。
將電場的公式代入公式（1）：
: $\nabla \cdot \mathbf {E} =\mathbf {k} \cdot \mathbf {E} _{0}f'\left(\mathbf {k} \cdot \mathbf {r} -\omega t\right)=0\,\!$ 。
只要電場垂直於波向量（波動傳播的方向），這函數形式的電場必定滿足馬克士威方程組：
: $\mathbf {E} \cdot \mathbf {k} =0\,\!$ 。
再將電場的公式代入公式（2）： | [
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電波 | : $\nabla \times \mathbf {E} ={\hat {\mathbf {k} }}\times \mathbf {E} _{0}f'\left(\mathbf {k} \cdot \mathbf {r} -\omega t\right)=-{\frac {\partial \mathbf {B} }{\partial t}}\,\!$ 。
所以，電場與其對應磁場的關係為：
: $\mathbf {B} ={\frac {1}{\omega }}\mathbf {k} \times \mathbf {E} \,\!$ 。
在自由空間內，電磁波不只是有以光速傳播的性質，電磁波的電場部分和磁場部分有特定的相對定向、相對大小。它們之間的相位一樣。電場，磁場，波動傳播的方向，都互相垂直於對方。波動傳播的方向是 $\mathbf {E} \times \mathbf {B} \,\!$ 。
從電磁波傳播的方向看去，電場或許是以上下的方式震盪，而磁場以左右的方式震盪。但若將這圖樣旋轉 90 度，則電場以左右的方式震盪，而磁場以上下的方式震盪，而波動傳播的方向仍舊相同。這是波動方程式的另一種解答。對於波動同樣傳播的方向，這定向的任意性現象稱為偏振。
## 輻射的影響
### 人體影響
X 光 、伽馬射線屬於游離輻射，會使生物的基因損壞或突變，甚至導致癌症。這些電磁波輻射允許劑量由法律確定。
### 無線電波
無線電波屬於波長大於 1 米的電磁輻射，這種輻射不直接影響基因，因為它是非游離輻射。
根據國際癌症研究機構（IARC）2001 年進行的致癌性評估，傳輸線等產生的低頻磁場「可能對人類致癌」（2B 組致癌物）。與「咖啡」和「汽油發動機廢氣」屬於相同類別的致癌物。靜電磁場和極低頻電場被歸類為「非致癌性」。這與咖啡因、汞、茶、膽固醇等相同。
此外，國立環境研究所（NIES）在 1997-11 財政年度開展了「極低頻電磁場對健康風險的評估研究」 。
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] |
電波 | 高強度的微波會對生物產生熱效應，因此，諸如無線設備，如手機，對人體動力的吸收比率（SAR：比吸收率單位 [瓦特 / 千克]）使用指定的值歐洲的的國際委員會，非游離輻射防護（英文： International Commission on Non-Ionizing Radiation Protection）和聯合國合眾國的聯邦通信委員會是如已被確定。此外，依據國際委員會關於非游離輻射保護在日本（ICNIRP）的射頻輻射規範的頻率 300 千兆赫（波長評估高達 1 毫米的無線電波對人體的影響。在學術團體等中也進行特定吸收率的計算（FDTD 方法）和模擬人體的人體模型的組成的確定。
## 參見
## 參考文獻
## 外部連結
* Clemson University 的網頁：Electromagnetic Radiation。
* Project PHYSNET （頁面存檔備份，存於網際網路檔案館）的網頁： _Electromagnetic Waves from Maxwell's Equations_ （頁面存檔備份，存於網際網路檔案館）。 | [
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第一周期元素 | **第 1 週期元素**是元素週期表中第一行（即元素週期）的元素。週期表按原子序數排列，以說明元素的化學行為隨原子序數增加的週期性（重複）趨勢：當它們的化學行為開始重複時，新的週期開始，這意味著類似元素會排到相同的族。第一週期包括的元素數量比任何週期少，只有兩個，也就是氫和氦。這種情況可以用原子結構的現代理論來解釋。在量子力學原子結構的描述中，該週期對應 1s 軌域的填充。第一週期元素遵守二隅體規則，它們需要兩個電子來填滿價電子層。
氫和氦是最古老，也是宇宙中最多的元素。
## 週期性
其它的週期都有至少八個元素，對研究週期內的週期性有時會有用。不過，第 1 週期元素只有兩個元素，因此這個週期性研究不適用於此。
在普通的元素週期表中，氦一般都歸類於惰性氣體中，也就是 IUPAC 的 18 族元素。不過氫的化學性質很特殊，不能輕易地被歸類為任何一族。
## 第 1 週期元素在元素週期表里的位置
第一個電子層，_n_ = 1，只有一個電子軌域。因此，第 1 週期元素的價電子最多只有兩個電子，都在 1s 軌域上。第一個電子層缺少 1p 或任何其他類型（如：1d）的軌域。這是由於量子數上的一般的 _l_ < _n_ 約束所導致的。因此，第 1 週期元素只有兩個。儘管氫和氦都是 s 區元素，它們的性質和其它 s 區元素很不同。它們的行為與其他 s 區元素非常不同，以至於在週期表中應將這兩個元素放在何處存在很大的分歧。
氫屬於鹼金屬，被放置在鋰之上。它有時被放在碳之上，氟之上，同時放在鋰和氟上方（出現兩次），或浮在元素週期表上而不歸類於任何一族。
氦有著完整的價電子層，所以幾乎都放在氖（是 p 區元素）之上，屬於惰性氣體一族。不過，由於外層都有兩個電子，氦有時會放在鈹之上。
## 元素
### 氫
氫 (H) 是一種化學元素，原子序數為 1。在標準情況下，氫是一種無色、無臭、非金屬性、無味且極度易燃的雙原子氣體，分子式 H2。氫是最輕的元素，原子量 1.00794 amu。
氫是豐度最高的化學元素，占了 75% 的宇宙原子質量。恆星在主序星階段時的主要成分就是電漿態的氫。自由氫氣在地球較稀有，工業制氫氣技術方法就是以碳氫化合物如：甲烷為原料製成的。之後，大部分氫氣在生產現場直接使用，在化石燃料升級（例如加氫裂化）和氨的生產（主要用於化肥市場）之間平均分配。氫氣也可以由電解水產生，不過成本要比用碳氫化合物為原料的製法高。 | [
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第一周期元素 | 天然氫中含量最高的同位素是氕有一個質子且沒有中子。在離子化合物里，它可以被游離成氫正離子，也就是質子或氫負離子，是氫化物中的陰離子。氫可以形成很多化合物，例如水和幾乎所有的有機化合物。在酸鹼質子理論中，許多反應涉及可溶分子之間的質子交換。這時，氫陽離子起到了特別重要的作用。作為唯一薛丁格方程有解析解的中性原子，氫原子的能階和原子光譜的研究在量子力學的發展中起著關鍵作用。
氫與各種金屬的相互作用在冶金中非常重要，因為許多金屬會遭受氫脆，並需開發安全的方式來儲存它作為燃料。氫在許多由稀土金屬和過渡金屬組成的化合物中可溶，也可以溶於晶體和無定形體金屬中。氫在金屬中的溶解度會受到金屬晶格中局部變形或雜質的影響。
### 氦
氦 (He) 是一種無色、無臭、無味、無毒的惰性單原子元素，是第一個惰性氣體，原子序數為 2。它的沸點和熔點是所有元素中最低的。除了在某些極端條件下，氦都是氣體。
氦氣是由法國天文學家皮埃爾・讓森在 1868 年發現的，他首先發現氦是從日蝕中發現的。在 1903 年，美國天然氣田發現了大量的氦氣，這是迄今為止最大的氦氣供應源。氦氣可用於低溫物理學、在深海呼吸系統中、冷卻超導磁鐵、用於氦測年法、用於充氣氣球、用於在飛艇中提供升力、以及作為工業用保護氣體，例如電弧焊和製作矽晶片。吸入少量氦氣會暫時改變人類聲音的音色。液態氦 - 4 的兩個流體相（氦 I 和氦 II）的行為對於研究量子力學，特別是超流體的現象的研究人員來說非常重要，以及研究物質的溫度接近絕對零度會產生什麼影響，例如超導性。
氦是第二輕的元素，也是可觀測宇宙中第二豐富的元素。大部分氦是從大爆炸產生的，不過氫在恆星中核融合也會產生新的氦。在地球，氦是稀有的物質，由放射性元素的阿爾法衰變而成，因為阿爾法粒子就是氦 - 4 的原子核。這些氦被困在天然氣里，其中天然氣的氦比例可達 7%。人們從中可以通過稱為分餾的低溫分離工藝從中進行萃取。
## 參考資料
## 外部連結
* Bloch, D. R. Organic Chemistry Demystified. McGraw-Hill Professional. 2006 [2020-10-01]. ISBN0-07-145920-0. （原始內容存檔於 2020-08-20）. | [
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] |
第2周期元素 | **第 2 週期元素**是元素週期表中第二行（即週期）的元素。
元素週期表的作用就是顯示元素會隨著原子序增加而產生週期性。 每當有接近性質的兩個元素出現時，新的週期就會產生，形成元素週期表的列。
第二週期元素包括鋰、鈹、硼、碳、氮、氧、氟和 氖。 在量子力學 中，這個週期的原子軌域會填充 (_n_ = 2) 層，也就是 2s 和 2p 亞層。由於沒有 d 軌域，第 2 週期元素的碳、氮、氧、氟、氖遵守八隅體規則（鋰、鈹遵守二隅體規則，而硼是缺電子的。） ，需要八個電子來填滿價電子層。 這八個電子中，兩個電子位於 2s 軌域，而其它六個在 2p 軌域。
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輻射性 | **放射性**或**輻射性**是指某核種的原子核不穩定，會自發性地放出游離輻射（如 α 射線、β 射線、γ 射線等）而**衰變**成另一種核種（衰變產物），這種特性稱為放射性。衡量放射性強弱的國際單位為貝克勒（Bq），傳統單位則為居禮（Ci）。
原子核不穩定、具有放射性的核種稱為放射性核種或放射性同位素，其衰變時放出的能量稱為衰變能量。至於原子核足夠穩定，不會或無法觀測到其發生衰變的核種，則稱作穩定核種或穩定同位素。每種元素都有著許多種放射性同位素，若某元素的所有同位素都具有放射性，則我們稱該元素為放射性元素，原子序數為 83（鉍）以上的元素都屬於放射性元素，而原子序數小於 83 的元素都具有至少一種穩定的同位素（鎝和鉕除外）。
有趣的是，週期表中原子序數為偶數的元素，其穩定同位素的數量通常比相鄰的奇數者來得多，而從原子序 84（釙）開始一直到 97（鉳）之間的放射性元素中，原子序是偶數者，其最長壽同位素的半衰期也都比相鄰的奇數者長。這是由於原子核中的質子或中子互相成對時，能互相抵銷彼此的自旋角動量，使得原子核具有較大的穩定度，因此原子序數（即質子數）為偶數的元素形成穩定核的可能性本身便比奇數者來得高。除了核子是否成對外，原子核中具有特定數目的質子或中子時，將有利於形成特別穩定的配置結構，稱為魔數（皆為偶數）。
對單一原子來說，放射性衰變依照量子力學是隨機過程，無法預測特定一個原子是否會衰變。不過原子衰變的機率不會隨著原子存在的時間長短而改變。對大量的原子而言，可以用量測衰變常數計算其衰變速率及半衰期。放射性核種的半衰期沒有已知的時間上下限，範圍可以到 55 個數量級，短至幾乎瞬間，長至宇宙年齡的一兆倍。穩定性愈高的放射性核種，其半衰期愈長，放射性愈低。在所有元素的放射性同位素中，有 650 種的半衰期超過一小時，而有數千種的半衰期更短。
發生衰變的放射性核種稱為母核種（parent nuclide）或母同位素（parent isotope），其衰變後產生的核種稱作子核種（daughter nuclide）或子同位素（daughter isotope）。子核種有可能是穩定核種，但也可能同樣具有放射性，會繼續衰變形成下一個子核種。大部分放射性核種並不直接衰變成穩定核種，而是經過一連串的衰變反應，最終達至穩定核種為止，稱作衰變鏈。 | [
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輻射性 | 放射性衰變有許多種不同的類型。衰變過程中若原子核的中子數或質子數發生了改變，則稱此衰變為核轉換。若為中子數的改變，則核轉換後的產物為同種元素的另一種同位素；若為質子數的改變，則核轉換後的產物為另一種不同的化學元素。
最常見的衰變種類是 α 衰變和 β 衰變。α 衰變是原子核放出 α 粒子（氦原子核），是發射核子的衰變中最常見的。不過有些原子核也會放出質子（質子發射）或中子（中子發射），或者釋放比 α 粒子更重的原子核（自發分裂或簇衰變）。β 衰變是原子核釋放 β 粒子（電子或正電子）及微中子，並將質子轉變為中子（或是將中子轉變為質子） 。原子核的質子也可能捕獲軌道上的電子，使質子轉變為中子，此為電子捕獲。上述的衰變種類都屬於核轉換。
此外，也有一些核衰變不會改變原子核的組成，產生新的核種，例如 γ 衰變為激發態原子核的能量以 γ 射線的方式釋出，而內轉換則是激發態原子核將能量轉移至軌域電子上，軌域電子再脫離原子的現象。這類衰變通常並不單獨發生，而往往伴隨在 α 衰變、β 衰變或電子捕獲之後而起。
目前地球上有 34 個天然存在的放射性原始核種，分屬於 28 個化學元素。它們的形成可以追溯到太陽系誕生之前，由於它們都具有非常長的半衰期，因此直至今日仍能以相當的量存在於地球上。著名的例子包括鈾、釷等放射性元素，以及鉀 - 40、釤 - 147 等非放射性元素的長壽放射性同位素。除了以上 34 種長壽放射性核種外，地球上也存在著約 50 個非原生的、壽命較短的放射性核種。其中一部分是放射性原始核種衰變後的產物（例如鐳 - 226、氡 - 222 及釙 - 210 等），部分則是宇宙射線散裂產生的宇生放射性核種（例如氚、碳 - 14 及磷 - 32 等），如碳 - 14 就是由宇宙射線撞擊氮 - 14 所產生。
放射性核種也可透過粒子加速器或核反應爐來人工合成。使用人工合成的方式能製造出許多自然界中不存在的放射性核種，稱為合成同位素或人造同位素，它們的壽命通常較短，且不處於自然界的 3 條主要衰變鏈中，因此只能以人工合成的方式生成。所有同位素皆為合成同位素的元素稱作人工合成元素或人造元素，例如鑀、鐨等。
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輻射性 | 放射性是由法國科學家亨利・貝克勒在 1896 年研究磷光材料時發現，磷光材料在暴露在日光下後，在黑暗中會發光，他認為 X 射線碰撞陰極射線管後發出的光和磷光有關。他將照片底片捲在黑色紙張內．上面放置許多不同的磷光材料，一直到用鈾鹽時底片才有影像，即使底片被黑色紙張包覆在內．底片仍顯現出黑色的感光圖像。這種穿透性質的放射線被稱為「貝克勒射線」。
後來很快就發現上述的感光和磷光無關．因為使用非磷光材料的鈾鹽甚至鈾金屬，也會有一樣的效果。因此推斷有一種不可見的放射線可以穿過黑色紙張，使底片感光而變黑。
一開始人們認為這種放射線類似於剛發現的 X 光。而貝克勒、歐尼斯特・拉塞福、保羅・維拉爾、皮耶・居禮、瑪麗・居禮等人的研究發現這種放射線比 X 光複雜。拉塞福是第一個發現具有這種放射線性質的元素會依循著指數形式衰減的人。拉塞福和他的學生弗雷德里克・索迪最早發現元素的衰變過程會使其原子嬗變成另一種元素的原子。隨後，弗雷德里克・索迪和卡西米爾・法揚斯提出索迪 - 法揚斯放射位移定律，用於描述 α 衰變及 β 衰變的產物。
早期的研究者也發現除了鈾之外，一些其他的化學元素也具有這種放射線性質，例如釷等。皮耶・居禮和瑪麗・居禮發現瀝青鈾礦的放射線劑量遠高於理論值，因此推斷其中含有放射性遠強於鈾的未知元素，並經過反覆實驗後成功從中分離出兩種新元素：釙和鐳。鐳一方面具有放射性，而且化學性質類似鋇，增加了分離的難度，瑪麗・居禮也因分離了這二種元素而獲得諾貝爾化學獎。
居禮夫婦對放射性的研究隊科學和醫學界有著重大影響。他們發現了釙和鐳之後，創造了「放射性」（radioactivity）一詞來定義這種重元素發射高能游離輻射的性質（後來該詞的定義被擴展到所有元素）。他們對放射性的研究和鐳的發現開啟了使用鐳治療癌症的時代，不但是核能的首個和平用途，更是現代核醫學的開端。
## 放射性單位
國際單位制（SI 制）的放射性強度單位為貝可勒爾（Bq），得名自科學家亨利・貝克勒爾，1 貝克勒定義為一秒有一個原子衰變。
較早期放射性活度的單位為居禮（Ci），定義為其一克的鐳 226 放射性活度。現在一居禮定義為每秒 3.7×1010 個原子衰變，因此 1 居禮 （Ci） = 3.7×1010 Bq。在放射保護的應用上，美國核能管理委員會允許使用居禮及國際單位制單位
，但歐盟的歐洲測量單位指令要求在公共衛生方面，自 1985 年 12 月 31 日起不能使用居禮單位。
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輻射性 | 放射性衰變是指不穩定的原子核放射出游離輻射並轉換其核子組成或能階的現象。放射性衰變通常都有一定的週期，並且一般不因物理或化學環境而改變，這也就是放射性可用於確定年代的原因。由於一個原子的衰變是自然地發生，即不能預知何時會發生，因此會以機率來表示。假設每顆原子衰變的機率大致相同，例如半衰期為一小時的原子，一小時後其未衰變的原子會剩下原來的二分之一，兩小時後會是四分之一，三小時後會是八分之一。
放射性衰變根據過程和產物的不同分為非常多種類型，某些原子的放射性衰變會生成另一種核種的原子，並釋放出 α 粒子、β 粒子或微中子等粒子，在發生衰變後，處於激發態的原子還會釋出 γ 射線。每種放射性核種通常都有其固定的衰變模式，但有些核種有可能發生多種形式的衰變，稱為分支衰變（branching decay），例如鉀 - 40 有 89.28% 的機率發生 β-衰變形成鈣 - 40，10.72% 發生電子俘獲形成氬 - 40。
通常衰變所生成的產物大多也帶有放射性，因此會進行一連串的衰變過程，直至該原子衰變成一穩定的核種，稱作衰變鏈。但像碳 - 14、鉀 - 40 等核種則只會經過一次衰變便形成穩定核種，並不會一連串地發生衰變。
衰變後的實物粒子靜止質量的總合會少於衰變前實物粒子靜止質量的總和，根據質能方程式，能量可以表現出質量。當物體的能量增加 E，其質量則增加 E/C²，當物體的能量減少 E，其質量也減少 E/C²，如果一個原子核衰變後放出實物粒子，假設該原子核在衰變前相對於某一慣性參照物靜止，衰變後的新原子核和所放出的實物粒子相對於該慣性參照物運動，即對於該慣性參照物而言，新原子核和所放出的實物粒子具有動能，當新原子核或所放出的實物粒子與其他粒子發生碰撞，它便會失去能量。因此，衰變前和衰變後質量和能量都是守恆的，粒子的靜止質量則不守恆。如果該原子核放出光子，同樣的，光子也具有質量，但沒有靜止質量。
發生核衰變的放射性核種中，有的是在自然界中天然存在的，如鈾 - 238、碳 - 14 等，也有很多是經過粒子對撞等方法人工合成的核種，如鈷 - 60、鎝 - 99m 等。
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輻射性 | 放射性原子核能以許多不同的形式進行衰變以使自身達到更穩定的狀態，每種放射性核種均有其固定的衰變模式。下表中總結了主要的幾種衰變類型。一個質量數為 _A_、原子序數為 _Z_ 的原子核在表中描述為（_A_, _Z_），「子核」一欄以這種描述方式指出母核衰變後產生的子核與母核的不同。例如，（_A_ − 1，_Z_ + 1）意為「子核質量數比母核少 1（少一個核子），而原子序數比母核多 1（多一個質子）」。
## 天然放射線的來源
自然界中的放射線是由天然放射性核種所放射出，而天然放射性核種有以下三種可能的來源：
* 原始放射性核種：原始核種是指在地球起源時就存在於地殼中的核種，大多是在恆星核合成和超新星爆炸的過程中產生，包括所有穩定核種和一些半衰期極長的放射性核種，其中一些核種的半衰期甚至長達宇宙年齡的數倍，因此直到近年來才檢測出其放射性。地殼中的原始放射性核種經歷數十億年的長久地質年代，母、子體之間已達到平衡，其中最重的三種核種在地殼中的衰變過程組成了現今自然界中三條最主要的衰變鏈，分別是以 238U 為母體的鈾系、以 235U 為母體的錒系和以 232Th 為母體的釷系，這三條衰變鏈的初始核種具有極長的半衰期，且衰變的終點都是鉛的穩定同位素。除了以上三種核種外，其他代表性的原始放射性核種還包括 40K、48Ca 和 209Bi 等，總共約 34 種。
* 次生天然放射性核種：為上述原始放射性核種的衰變產物。它們的半衰期通常較短，但由於處在自然界的三大衰變鏈中，因此能不斷地作為衰變產物生成。例子包括鐳、氡和釙等的天然同位素。由於它們的半衰期較短，單位時間內的放射劑量較大，因此礦場和地下室的放射性危害通常是由這些短壽命核種造成的。
* 宇生放射性核種：來自外太空的宇宙射線與地球上的物質發生碰撞（即宇宙射線散裂）後會產生許多新的核種，稱為宇生核種，包括穩定核種和放射性核種。代表性的宇生放射性核種包括 3H、14C 和 32P 等。
## 放射性的用途
* **醫學**：X 光檢查、癌症化療
* **礦業**：放射性選礦
* **工業**：核能發電、探測焊接點和金屬鑄件的裂縫、工業生產線上的自動品質控制系統、量度電鍍薄膜的厚度、消除靜電
* **農業**：知道肥料的吸收及流失
* **考古**：鑑定古物所屬的年代（放射性定年法）
* **其他**：大氣核試爆、夜光手錶、煙火感應器、螢光指示牌、藝術品
## 相關的警告標誌
* * * * *
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] |
輻射性 | ## 參考資料
## 外部連結
* 香港天文台 （頁面存檔備份，存於網際網路檔案館） | [
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行波 | 除了電磁波、引力波（又稱「重力波」）能夠在真空中傳播外，大部分波如機械波只能在介質中傳播。波速與介質的彈性與慣性有關，但與波源的性質無關。
## 數學描述
在數學上，任何一個沿某一方向運動的函數形狀都可以認為是一個波。考慮一種最簡單的情況：二維平面波，波的形狀可以用 $xy$ 平面上的曲線 $y=f(x)$ 描述。
如果這個曲線沿著 $x$ 軸以 $\omega $ 的速度向右運動，不難看出，這樣的函數應該滿足如下方程： $y=f(x-\omega t)$
如果沿 x 軸以 ω 的速度向左運動，則為： $y=f(x+\omega t)$
以上兩個方程都滿足如下形式的微分方程：
: ${\frac {\partial ^{2}f}{\partial t^{2}}}=c^{2}{\frac {\partial ^{2}f}{\partial x^{2}}}$
這裡 **c** 通常是一個固定常數，代表波的傳播速率。這個方程稱為**一維波動方程**。
它的通解可以表示為：
: $y(x,t)=f(x+\omega t)+g(x-\omega t)$
它表示一個向左傳播的波和一個向右傳播的波的疊加。
### 行進波
**行進波**，又稱為**前進波**，是一種在空間與時間裏的擾動，可以表達為
: $y(z,t)=A(z,\ t)\sin(kz-\omega t+\phi )\,\!$ ；
其中， $A(z,\ t)\,\!$ 是波的振幅， $z\,\!$ 是位置， $t\,\!$ 是時間， $k\,\!$ 是波數， $\phi \,\!$ 是相數。
波的相速度 $v_{p}\,\!$ 可以表達為
: $v_{p}={\frac {\omega }{k}}=\lambda f\,\!$ ；
其中， $\lambda \,\!$ 是波長。
### 一維簡諧波
一種最基本、最常見的波是簡諧波。它可以表示為：
: $f=Ae^{i(kx-\omega t)}\,$
其中 $k$ 是波數， $\omega $ 是角頻率， $A$ 是振幅。
波數倚賴於波長 $\lambda $ ， $k={\frac {2\pi }{\lambda }}$ 。角頻率倚賴於周期 $T$ ， $\omega ={\frac {2\pi }{T}}$ 。
波速 $v={\frac {\omega }{k}}$ 。
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行波 | _參見駐波_
## 影響波速的因素
**1. 傳播的介質種類**
在固體中的波速最高，液體次之，氣體最小（例如聲音）。溫度越高，空氣分子運動的速率越快，傳遞波的速度亦愈快。在同一介質中，波的速率與頻率無關。
**2. 溫度的高低**
溫度越高，空氣分子運動的速率越快，所以傳遞波的速度亦越快。在一大氣壓下，0℃時空氣中的聲速為 331 公尺 / 秒，溫度每升降 1℃，聲速約增減 0.6 公尺 / 秒。
## 特徵參量
任何一種波都可以用如下的參量進行描述：
* 色散關係，即波的頻率 ω 與波矢量_**k**_之間的關係： $\omega =\omega ({\boldsymbol {k}})$ 。其中，波矢量的方向是垂直于波陣面的，其數值等於波數，即 k=2π/λ。
* 波的相速度 $v_{p}=\omega /k$ 與群速度 ${\boldsymbol {v}}_{g}=\mathrm {d} \omega /\mathrm {d} {\boldsymbol {k}}$ 。相速度的方向與波矢量_**k**_的方向平行，而群速度表示波內能量轉移的大小和方向。
* 波的衰減率 γ
* 波的偏振。可以是無偏振、線偏振、橢圓偏振或者是圓偏振。
## 能量
: 所有的波都攜帶能量，波帶有動能和勢能的特性。波所攜帶的能量常用波內單位體積所具有的能量來計量，叫波的能量密度。在單位時間內通過垂直于波矢的單位面積所傳遞的能量叫波的強度或能流密度，它是波的能量密度和波的傳播速度的乘積。
: $E$ $=$ $0.5$ $(mu$ Δ $x)$ $(2pafR)$ $^{2}$
其中， $E$ 是簡諧運動能量， $f$ 是頻率。
: $E=h\nu $
其中， $E$ 是非力學波能量， $\nu $ 是頻率。
## 類型
波根據振動源的次數可以分為
* 脈波：脈波的波源只對介質作一短暫的擾動。波通過介質時，介質中的質點在短暫振動後，隨即靜止於原位置。
* 週期波：週期波的波源對介質作連續有規律的振動。
波在均勻、無向性的介質中傳遞時，依介質的振動方向分可以分為
* 縱波：又稱疏密波，縱波的特點是介質的振動方向與傳播方向相同，比如空氣中的聲波、地震波中的 P 波。
* 橫波：又稱高低波，橫波的特點是介質的振動方向與傳播方向垂直。如：電磁波、地震波中的 S 波。 | [
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行波 | 如果在非均質介質中傳遞時，介質振動的行為就不是只有橫向與縱向兩種，亦存在像表面波、海浪這種類型的振動。譬如：雷利波其振動方式為橢圓形。
依波動傳遞需要介質來劃分，波可以分為
* 力學波（機械波）：如聲波、水波等
* 非力學波（非機械波）：如電磁波、重力波、光波等
* 物質波則是在近代物理中敘述物質具有粒子與波動的二元性（波粒二象性），近一步的探討則認為物質波是物質在空間中分布的機率，如電子的軌域。
## 傳播
有些波的傳播需要介質，比如聲波等機械波。有些則不需要介質，在真空中也能傳播。如電磁波。
波在介質中傳播時，介質的質點並未隨波前進，而是在原處附近運動。
波的行進速度 v 為其頻率 f 和波長 λ 的乘積，即波長 λ 和週期 T 的比值： $v=f\lambda ={\frac {\lambda }{T}}$
波在繩子上傳播時，波的行進速度 v（SI 單位 m/s）與繩子所受的張力 F（單位 N）及繩子的線密度 μ（單位 kg/m）有關： $v={\sqrt {F \over \mu }}$
## 量子
每種波有相應的量子，譬如：
* 電磁波──光子
* 引力波──引力子
## 參見
* 振幅
* 波形
* 波峰、波谷
* 波長：通常以 **λ** 表示。
* 週期：通常以 **T** 表示。
* 頻率：通常以 **f** 表示。
* 相速度
* 群速度
* 四維頻率
* 干涉
* 波列
* 波包
## 參考文獻
## 外部連結
* 橫行波 Java 模擬 （頁面存檔備份，存於網際網路檔案館）
* 縱行波 Java 模擬 （頁面存檔備份，存於網際網路檔案館）
* 弦線上駐波 Java 模擬 （頁面存檔備份，存於網際網路檔案館）
* 水波的干涉 Java 模擬 （頁面存檔備份，存於網際網路檔案館）
* 水波的繞射 Java 模擬 （頁面存檔備份，存於網際網路檔案館） | [
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Samarium | **釤**（拼音：shān，注音：ㄕㄢㄧ；英語：**Samarium**），是一種化學元素，其化學符號為 **Sm**，原子序數為 62，原子量為 150.36 u，屬於鑭系元素，也是稀土元素之一。釤是一種中等硬度的銀色金屬，在空氣中會緩慢氧化。身為典型的鑭系元素，釤最尋常的氧化態為 + 3，不過也存在釤 (II) 的化合物，其中最常見的是其和氧族元素的化合物 SmO、SmS、SmSe 和 SmTe，以及碘化釤 (II)（SmI2），其中碘化釤 (II) 是化學合成中常見的還原劑。如同其他稀土元素，釤在人體內沒有明顯的生物作用，但毒性也並不高。
釤是由法國化學家保羅・埃米爾・勒科克・德布瓦博德蘭（Paul-Émile Lecoq de Boisbaudran）於 1879 年發現的，並以其發現來源鈮釔礦（Samarskite）命名。該礦物本身的名字是早先以一位俄羅斯礦務官員瓦西里 - 薩馬爾斯基 - 別克霍夫茨上校（Vasili **Samarsky**-Bykhovets）之名所命名的，他因此間接成為第一個名字被用來命名化學元素的人。
儘管屬於稀土元素的一員，釤在地殼中並不算十分稀有，它是第五豐富的鑭系元素（次於鈰、釹、鑭和鐠），也是地殼中含量第 40 高的元素，比錫等金屬還更常見。釤在自然界中總是與其他稀土元素一同出現，主要存在於幾種稀土礦物中，包括矽鈰石、矽鈹釔礦、鈮釔礦、獨居石和氟碳鈰礦等，濃度最高可達 2.8%，其中最後兩種礦石是釤最常見的商業來源。這些礦物主要分布在中國、美國、巴西、印度、斯里蘭卡和澳大利亞，中國在釤的開採和生產方面處於世界領先地位。
釤的主要商業應用是釤鈷磁鐵，其永久磁化強度僅次於釹磁鐵；且釤的化合物可以承受較高的溫度，超過 700°C（1,292°F），因此釤鈷磁鐵的居里點較高，在高溫環境下較不易失去磁性。放射性同位素釤 - 153 是藥物來昔決南釤（153Sm）（商品名：Quadramet）的活性成分，用於治療肺癌、前列腺癌、乳腺癌和骨肉瘤，可殺死癌細胞。另一種同位素釤 - 149 具有良好的中子吸收能力，可作為核反應爐中控制棒的材料。釤的其他應用還包括化學反應的催化劑、放射性年代測定和 X 射線雷射器等。
## 物理性質
釤是一種銀白色的、中等柔軟的鑭系金屬，硬度和密度與鋅相近。釤的沸點為 1794℃，在鑭系元素中揮發性僅次於鐿和銪，這一特性有利於將釤從礦石中分離出來。 | [
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Samarium | 釤在常溫常壓下通常呈現菱方結構（α 相）。當加熱到 731°C 時，其晶體結構變為六方最密堆積（hcp），轉變溫度取決於釤金屬的純度。進一步加熱到 922°C 時，釤金屬會轉變為體心立方結構（bcc）。在 300°C 以及 40kbar 的壓力下，釤會形成雙六方最密堆積結構（dhcp）。向其施加數百或數千千巴的高壓則會引起一系列的相變，特別是在約 900 千巴時出現四方晶系結構。在一項研究中，dhcp 相的釤可以在不施加壓力的情況下，使用非平衡退火法讓溫度在 400-700℃之間快速變化中產生，證實了釤元素晶體結構的瞬變特性。另外，通過氣相沉積法得到的釤的薄膜在常溫常壓條件下可能含有 hcp 結構或 dhcp 結構。
釤及其倍半氧化物在室溫下具有順磁性，對應的有效磁矩在 2μB 以下，是鑭系（及其氧化物）中的第三低，僅次於鑭和鎦。在冷卻到 14.8 K 時，金屬會轉變為反磁性狀態。單個釤原子可以利用富勒烯分子，將其封裝並分離出來。將釤原子摻雜在富勒烯固體中的 C60 分子間可使其在 8K 以下的超低溫度下具有超導性。此外，在鐵基超導體中摻雜釤可以將其臨界溫度提高到 56K，是迄今為止鐵基超導體系列中的最高值。
## 化學性質
新製備的釤具有銀色光澤。室溫下，釤在空氣中會緩慢氧化，即使保存於礦物油中，釤也會逐漸氧化，並在表面形成灰黃色的氧化物 - 氫氧化物混合物粉末，釤形成的氧化層不像鑭、鈰、鐠等更輕的鑭系元素一樣那麼疏鬆、容易剝落。將釤樣品密封在惰性氣體如氬氣下，可保持其具有光澤的金屬外觀。釤在 150℃時容易自燃。
如同其他鑭系元素，釤最尋常的氧化態為 + 3。釤具有相當大的電正性，能與水反應形成氫氧化釤，釤與冷水反應速度較慢，而與熱水反應速度則較快。反應的激烈程度遠弱於鑭、鈰、鐠、釹等較輕的鑭系元素：
2 Sm (s) + 6 H2O (l) → 2 Sm(OH)3 (aq) + 3 H2 (g)
釤很容易溶解在稀硫酸中，形成含有黃色至淡綠色的 Sm3+ 離子的溶液，以 [Sm (OH2)9]3+ 錯合物的形式存在：
2 Sm (s) + 3 H2SO4 (aq) → 2 Sm3+ (aq) + 3 SO42-(aq) + 3 H2 (g)
釤是少數能形成較穩定的 + 2 氧化態的鑭系元素之一，Sm2+ 離子在水溶液中呈血紅色。
## 化合物
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Samarium | 釤最穩定的氧化物為三氧化二釤（Sm2O3）。如同許多其他的釤化合物，它存在多種結晶相。其中三方相是從熔融態緩慢冷卻得到的。Sm2O3 的熔點相當高（2345℃），因此通常不以直接加熱來達到其熔點，而是通過一個射頻線圈感應加熱。Sm2O3 的粉末可以經由火焰熔融法（Verneuil 的過程）產生 Sm2O3 結晶的單斜晶的對稱晶體，晶體為筒狀的晶柱約數厘米長，直徑大約一厘米。當晶柱是純淨的時候為透明，否則則為橙色。加熱三角形的 Sm2O3 至 1900℃，可將它轉換到更穩定的單斜晶相。
釤是少數可以形成一氧化物 SmO 的鑭系元素之一。在升高的溫度（1000℃）和高於 50 千巴的壓力下，Sm2O3 的減少能得到有光澤的金黃色的化合物，降低的壓力導致一個不完整的反應中得到。SmO 有岩鹽立方晶格結構。
### 硫屬化合物
釤形成三價的硫化物，硒化物，碲化物。也被稱為二價硫族化合物，SmS，SMSE 和 SMTE 為立方岩鹽晶體結構。它們處於顯著狀態為在室溫下提高壓力從半導體轉換到金屬態。由於過渡是連續且發生在 20-30 千巴在 SMSE 和 SMTE，在 SmS 只需要 6.5 千巴。這種效應會使 SmS 的顏色從黑色變成金黃色，其晶體薄膜被劃傷或拋光。過渡不改變晶格的對稱性，但結晶體積會急劇下降（〜15％），顯示當壓力下降，SmS 返回到半導體狀態時的遲滯。
### 鹵化物
金屬釤與所有的鹵素反應，形成三鹵化反應：
2 Sm (s) + 3 X2 (g) → 2 SmX3 (s) （ X = 氯、溴或碘 ）
它們與釤、鋰或鈉金屬在高溫（約 700-900℃）進行還原反應而產生的二鹵化物。可以通過加熱 SmI3，或在室溫下金屬與無水四氫呋喃中 1,2 - 二碘乙烷反應製備而成：
Sm (s) + ICH2-CH2I → SmI2 + CH2=CH2
除了鋁二鹵化物，還原反應也產生大量有明顯晶體結構的非化學計量的釤鹵化物，如 Sm14F33、Sm3F7、Sm27F64、Sm11Br24、Sm5Br11 和 Sm6Br13。 | [
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Samarium | 釤鹵化物改變其晶體結構，一個類型的鹵原子取代另一個，對大多數元素（例如，錒系元素）而言這是一種罕見的行為。許多鹵化物的結構有兩個主要的結晶相，其中之一是更穩定，另一個是亞穩態。後者的形成為先壓縮或加熱，然後進行驟冷至室溫。例如壓縮單斜晶系二碘化釤再釋放壓力會造成 PBCL2 型的斜方晶系結構（密度 5.90 克 / 厘米 3）的壓力的結果，在一個新的階段三碘化釤（密度 5.97 克 / 厘米 3）也有類似反應。
### 硼化物
在真空中，釤和氧化硼的燒結粉末含有幾個釤硼化物相，混合比例可以控制它們的體積比。依賴於不同的熔點 / 結晶溫度 SMB （2580°C），SMB （約 2300°C）和 SMB 66（2150°C），特定的釤硼化物粉末可以被使用電弧或區熔技術熔化轉換成較大的晶體。所有這些材料是硬，脆，暗灰色的固體與硬度隨著硼含量上升而增加。釤硼化鈦的揮發性過高無法使用這些方法產生，需要高壓力（約 65 千巴）和低溫 1140 和 1240°C 之間穩定其增長。溫度上升使 SMB6 優先形成。
#### 六硼化釤
六硼化釤是一個典型的中間價化合物，其中 Sm2+ 和 Sm3+ 的比率為三比七。它屬於一種近藤絕緣體，在高溫下（高於 50 K），它的屬性是典型的近藤金屬，強電子散射使其具有金屬導電性，而在低溫下，它表現為具有窄約 4-14 毫電子伏特帶隙的非磁性的絕緣層。SmB6 伴隨著由熱導率急劇增加使冷卻引起的金屬 - 絕緣體轉變，峰值在約 15 K，增加的原因是電子低溫下無助於熱導率，使佔主導地位的電子濃度的減少降低電子 - 聲子散射率。
一項新的研究指出，它可能是一個拓撲絕緣體。
### 其他無機化合物
釤碳化物是在惰性氣氛中通過熔化金屬石墨的混合物製備而來。合成後它們在空氣中不穩定，需在惰性氣體下進行研究。釤 monophosphide SMP 是為 1.10 電子伏特帶隙的半導體，和矽相同，且矽為高導電性的 n - 型半導體。它可以在 1100℃下熱處理含有磷和釤的混合粉末的真空石英安瓿製備而來。磷在高溫下具有高揮發性，有可能發生爆炸，所以加熱速率要保持在低於 1℃/ 分鐘。類似的程序被採用在 SMAS 的 monarsenide，但合成溫度高於 1800℃。 | [
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Samarium | 大量的結晶性二元化合物是釤和一個基團 - 4，5 或 6 的元素 X 形成，其中 X 是矽，鍺，錫，鉛，銻，釤和金屬合金形成另一個大型基。它們都從何相應元素的混合粉末熱處理製備而來。所得到的化合物是許多非化學計量的，有標稱組合物的 Sm a X b ，其中 b /a 的比率變化範圍在 0.5 和 3 之間。
### 有機金屬化合物
釤形成一個基環戊二烯的 Sm（C5H5）3 和 chloroderivatives 的 Sm（C5H5）2Cl 和 2Sm（C5H5）Cl。氯。它們是三氯化鈦與四氫呋喃中的 NAC5H5 反應製備來。和大多數其它鑭系元素的環戊二烯相反，在 Sm（C5H5）3 中，一些 C5H5 彼此環橋形成環的頂點 η1 或邊緣 η2 朝向另一個相鄰釤原子，產生聚合鏈。chloroderivative 的 Sm（C5H5）2Cl 具有二聚體結構更精確地表示為 (η5- C5H5) 2Sm (µ-Cl) 2 (η5 -C5H5) 2。在那裡氯橋可以被更換，例如，碘，氫或氮的原子或 CN 基團。
釤環戊二烯中（C5H5）- 離子可以被 indenide（C9H7）- 或環戊二烯（C8H8）2 - 環替代，產生 Sm（C9H7）3 或 KSM（η8-C8H8）2。後者的化合物 uranocene 具有相似的結構。也有一個二價釤的環戊二烯，Sm（C5H5）2 - 固體，在約 85℃下昇華，和二茂鐵相反，在 Sm（C5H5）中 2C5H5 的環是不平行的，但傾斜 40°。
釤的烷基和芳基在在四氫呋喃或乙醚中分解反應得到：
Sm(OR)3 + 3 LiCH(SiMe3)2 → Sm{CH(SiMe3)2}3 + 3 LiOR
## 同位素
天然存在的釤由七種同位素組成，分別是穩定的 144Sm、149Sm、150Sm、152Sm、154Sm 和長壽命的原始放射性核種 147Sm（半衰期 1.06×1011 年）、148Sm（半衰期 7×1015 年）。其中，152Sm 是最常見的，占了天然釤的 26.75%。天然釤的放射性活度約為 127Bq/g，主要是由其中 147Sm 的衰變造成的。 | [
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Samarium | 除了以上 7 種天然同位素外，釤還有 31 種人工合成的放射性同位素，其中壽命最長的是 146Sm，半衰期長達 6.8×107 年，但仍遠短於地球的年齡，因此至今已衰變殆盡，為一絕跡放射性核種。完全由人工合成產生的釤同位素中，最長壽的是 151Sm（半衰期 88.8 年）和 145Sm（半衰期 340 天）。其餘放射性同位素的半衰期都短於 2 天，大部分低於 48 秒。釤還有 12 個已知的核同質異能素，其中較穩定的有 141_m_Sm（半衰期 22.6 分鐘）、143_m_1Sm（半衰期 66 秒）和 149_m_Sm（半衰期約 10.7 秒）。
釤的放射性同位素中，最長壽的 146Sm、147Sm 和 148Sm 主要發生 α 衰變形成釹的同位素，比三者輕的放射性同位素主要發生電子俘獲衰變成鉕的同位素，而較重的放射性同位素主要發生 β 衰變形成銪的同位素。
147Sm α 衰變為 143Nd 的半衰期為 1.06×1011 年，可用於測定岩石和隕石年齡，稱作釤–釹定年法。
值得一提的是，理論計算顯示五種穩定的釤同位素都有機率衰變成釹或釓的同位素，然而其衰變現象從來都沒有被科學家實際觀測到過。以下列出這五種同位素的預估衰變模式以及測得的半衰期下限：
: 144Sm：雙 β 衰變為 144Nd
: 149Sm：α 衰變為 145Nd，半衰期 > 2×1015 年
: 150Sm：α 衰變為 146Nd
: 152Sm：α 衰變為 148Nd
: 154Sm：負雙 β 衰變為 154Gd，半衰期 > 2.3×1018 年
## 存在和生產
儘管屬於稀土元素的一員，釤在地殼中並不算特別稀有的元素，平均濃度約為 8ppm，在地殼中的元素豐度排名為第 40 位，是第五豐富的鑭系元素和第七豐富的稀土元素。雖然釤在輕稀土元素中屬於豐度較低者，但其豐度仍高於所有重稀土元素，也比錫（2.1ppm）等常見金屬來得高。
土壤中釤的濃度介於 2 到 23ppm 之間，海洋中的釤含量則約為 0.5 至 0.8ppm。釤在土壤中的分佈非常不均勻，其豐度很大程度上取決於土壤中的化學狀態。在沙質土壤中，土壤顆粒表面的釤濃度比顆粒間水分中的釤濃度高了約 200 倍。在黏土中，該比例甚至可以超過 1000 倍。 | [
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Samarium | 釤在自然界中並不以游離的純元素態存在，而是與其他稀土金屬一同出現在獨居石、氟碳鈰礦、鈰矽石、矽鈹釔礦和鈮釔礦等稀土礦物中，其中獨居石和氟碳鈰礦是釤最主要的商業開採來源，獨居石中釤的濃度可高達 2.8% 之多。釤在稀土礦物中總是做為次要成分存在，以釤占主導地位的礦物非常罕見，例如釤獨居石和磷鋁釤石等。
全世界釤的儲量估計約為 200 萬噸。釤的主要礦區位於中國、美國、巴西、印度、斯里蘭卡和澳大利亞，年產量約 700 噸。中國是迄今為止稀土產量最高的國家，每年開採約 12 萬噸的稀土，其次是美國（約 5000 噸）和印度（2700 噸）。釤通常以氧化物的形式出售，價格約為 30 美元 / 公斤，是最便宜的鑭系氧化物之一。
雖然混合稀土金屬（含有約 1% 的釤）在工業上的應用已久，但直到最近人們才通過離子交換工藝、溶劑萃取技術和電化學沉積法分離出純度相對較高的釤。釤金屬通常是透過電解氯化釤 (III) 與氯化鈉或氯化鈣的熔融混合物來製備。也可以透過以鑭還原氧化釤來獲得釤，然後將產物蒸餾以分離釤（沸點 1794°C）和鑭（沸點 3464°C）。
放射性同位素釤 - 151 主要由鈾的核分裂所產生，約占鈾的所有裂變產物中的 0.4%。它也可由釤 - 149 俘獲中子而生成，而釤 - 149 常被用作核反應爐控制棒的材料，用於吸收多餘的中子。因此，釤 - 151 存在於乏核燃料和放射性廢料中。
## 應用
釤最重要的用途是製造釤鈷磁鐵 —— 一種高強度的永久磁鐵的合金材料。釤鈷磁鐵依照其中釤原子和鈷原子的比例分為 SmCo5 和 Sm2Co17 兩種，具有很高的永久磁化強度，約為鐵的 10000 倍，在磁性物質中僅次於釹磁鐵。但釤鈷磁鐵具有較高的居禮溫度，抵抗退磁的能力較佳，在 700°C 以上的高溫下仍能維持穩定的磁性，而釹磁鐵在溫度超過 300–400°C 時就會失去磁性，應用於汽車馬達和發電機等中的釹磁鐵必須添加鋱和鏑等重稀土元素來提高其矯頑力，改善耐熱性能，但也造成價格更為昂貴。釤鈷磁鐵應用於入耳式耳機、吉他和低音吉他拾音器、渦輪機及壓縮機等產品中。 | [
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Samarium | 釤及其化合物的另一個重要用途是作為催化劑和化學試劑。釤化合物催化劑能加速塑膠的分解、多氯聯苯等污染物的脫氯過程以及乙醇的脫水和脫氫。三氟甲磺酸釤（Sm (OTf)3，即 Sm (CF3SO3)3）是促進鹵素與烯烴進行傅 - 克反應的最有效的路易斯酸催化劑之一。碘化釤 (II) 是有機合成領域中非常常見的還原劑和偶合劑，例如去磺醯化反應、增環反應、丹尼謝夫斯基、向山光昭、桑嶋功和霍爾頓等紫杉醇全合成、士的寧全合成、巴比耶反應和其他碘化釤 (II) 的還原反應。
氧化釤被添加到陶瓷和玻璃中，能增加其對紅外線的吸收量。
釤是混合稀土金屬的次要成分，用作許多打火機和手電筒的發火裝置之材料。
人造放射性同位素釤 - 153 是一種 β 放射源，半衰期為 46.3 小時。在醫療領域中用於殺死肺癌、前列腺癌、乳腺癌和骨肉瘤的癌細胞。釤 - 153 通常與乙二胺四亞甲基膦酸（EDTMP）鹽螯合後進行靜脈注射。螯合能防止放射性的釤 - 153 在人體內積累，以免其過度輻射、促成新癌細胞的生成。相對應的藥物有多個名稱，例如來昔決南釤（153Sm）（商品名：Quadramet）等。
釤 - 149 具有很高的中子俘獲截面（41000 靶恩），是核反應爐控制棒的理想材料。與硼和鎘等主流材料相比，釤 - 149 的優勢在於其吸收中子的穩定性 —— 大多數釤 - 149 的融合和衰變產物是釤的其他同位素，而它們也是很好的中子吸收劑。例如釤 - 151 的橫截面為 15000 靶恩，釤 - 150、釤 - 152 和釤 - 153 的截面為數百靶恩，而由多種同位素混合組成的天然釤的截面約為 6800 靶恩。由於其大中子吸收截面，在核反應爐的衰變產物中，釤 - 149 被認為是繼氙 - 135 之後第二重要的中子毒物，是反應爐的設計和運行中重要的考量因素。
近期已證明六硼化釤（SmB6）是一種拓撲絕緣體，在量子電腦中具有潛在用途。
## 生物作用
如同其他稀土元素，釤在人體內沒有已知的生物作用，但其毒性也並不高。釤鹽會刺激新陳代謝，但目前尚不清楚此現象是由釤還是與釤伴生的其他鑭系元素所導致。成人體內約含有 50 微克的釤，主要存在於肝臟和腎臟中，溶解在血液中的釤濃度約為 8μg/L。植物體吸收的釤含量一般微小到無法測得，因此通常不是人類飲食的一部分。然而，一些植物和蔬菜的釤濃度可能高達百萬分之一。不溶性的釤鹽是無毒的，可溶性釤鹽則只有微毒。 | [
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Samarium | 釤被攝入體內時，只有約 0.05% 的釤鹽會被吸收到血液中，其餘的則被排出體外。血液中的釤約有 45% 進入肝臟，而 45% 沉積在骨骼表面，並存留約 10 年；剩餘的 10% 則被排洩出體外。
## 參考資料
## 外部連結
* 元素釤在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 釤（英文）
* 元素釤在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素釤在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 釤（英文） | [
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氢气 | **氫氣**是氫元素標準狀況下以氣態形式存在的物質，化學式為 H2，由兩個氫原子構成，又稱分子氫。氫氣是最輕的氣體，可用於熱氣球中，但後來因其浮力而使用的氫氣被逐漸替換為危險性較小的不可燃氣體氦氣。氫氣也曾用於肉製品的保鮮。氫氣的英語 hydrogen 來自希臘語的ὕδωρ（水）和 γεννᾰν（產生），即產生水的物質；而中文氫氣來自「輕氣」。
## 歷史
最先記錄氫氣製備的科學家是帕拉塞爾斯，他將硫酸倒至鐵粉上發現了這種氣體，但當時他並不知道實驗中放出的氣體的具體性質。後來，英國科學家亨利・卡文迪什用不同的金屬重複了帕拉塞爾斯的實驗，發現產生的氣體和空氣不同，其密度小且可燃，他稱這種氣體為「可燃性空氣」，並發現其燃燒生成水。法國化學家拉瓦節確認了卡文迪什的發現，提出用「氫氣」（hydrogène）一詞來取代「可燃性空氣」。
## 結構
氫氣分子由兩個氫原子透過一個 σ 鍵組成，鍵長約 74.14 pm。基態之氫氣分子的 σ 鍵由兩個氫原子分別貢獻一個 1s 軌域的電子參與鍵結，並形成 σ 軌域。而氫分子以及其陽離子（H2+ 陽離子）因為結構簡單，而成為科學家在研究化學鍵本質時所用的重要對象。早在量子力學發展成熟整整半個世紀以前，詹姆斯・克拉克・馬克士威就觀察到了氫氣分子的量子效應。他注意到，H2 的熱容量在低於室溫的溫度下，開始偏離雙原子氣體的性質，在極低溫下更像單原子氣體。根據量子理論，這一現象源自於分子旋轉能級之間的間距。在質量尤其低的 H2 分子中，能級之間的間距特別大。在低溫下，較大的能級間距使得熱量無法均分到分子的旋轉運動上。由更重的原子所組成的雙原子氣體會有較小的能級間距，所以在低溫下不呈現這種現象。
### 哈密頓算符
氫氣分子在哈密頓算符中可以表示為：
: ${\hat {H}}=-{\frac {\hbar ^{2}}{2M}}\Delta _{R_{1}}-{\frac {\hbar ^{2}}{2M}}\Delta _{R_{2}}-{\frac {\hbar ^{2}}{2m}}\Delta _{r_{1}}-{\frac {\hbar ^{2}}{2m}}\Delta _{r_{2}}+{\frac {e^{2}}{|\mathbf {R} _{1}-\mathbf {R} _{2}|}}+{\frac {e^{2}}{|\mathbf {r} _{1}-\mathbf {r} _{2}|}}$ | [
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] |
氢气 | : : : : : : : : : : $-{\frac {e^{2}}{|\mathbf {R} _{1}-\mathbf {r} _{1}|}}-{\frac {e^{2}}{|\mathbf {R} _{1}-\mathbf {r} _{2}|}}-{\frac {e^{2}}{|\mathbf {R} _{2}-\mathbf {r} _{1}|}}-{\frac {e^{2}}{|\mathbf {R} _{2}-\mathbf {r} _{2}|}}$ ,
其中 M 為質子的質量、m 為電子的質量、 $\mathbf {R} _{i}$ 為原子核的座標、 $\mathbf {r} _{i}$ 為電子的座標。
### 分子軌域
氫氣分子是最小、結構最簡單的分子，由兩個氫原子透過一個 σ 鍵組成，鍵長約 74.14 pm。由於每個氫原子都有 1 個 1s 軌域電子，因此，2 個氫原子各用一個 1s 軌域的電子參與鍵結。在分子軌域圖中，其可以表示如右圖，其中左側和右側為原本的原子軌域、中間是鍵結後對應的分子軌域、左側坐標軸的縱軸代表軌域的能量、並用箭頭表示該軌域中的電子，箭頭方向表示電子自旋的方向。
當 2 個 s 軌域端對端重疊後，所形成的分子軌域為 σ 軌域，當電子填入氫氣分子的 σ 軌域時，電子出現機率最高之處位在兩個氫原子核中心連線中間的位置。
:
相反的，兩個 1s 軌域也有可能是以反向的方式結合，其所形成的波則互相干涉抵消，而形成反鍵軌域，稱為 σ\* 軌域，電子填入 σ\* 軌域時，電子出現在兩個氫原子核中心連線中間位置的機率降為 0，因此形成一個波節。σ\* 軌域的能量比 σ 軌域高，因此在基態的情況下，電子填入氫氣分子的分子軌域時，不會優先填到這個軌域。
:
在分子軌域理論中，氫氣的電子組態為 1σg2，其鍵級為 (2-0)/2 = 1。其光電子譜在 16 至 18eV 之間有一組多重峰。
電子填入氫氣分子的分子軌域時會先從低能量的 σ 軌域開始填，而 σ 軌域可以容納 2 個電子，氫氣分子共有兩個電子，因此電子在基態的氫氣分子將會填滿 σ 軌域。
:
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氢气 | 雙原子氫分子有兩個原子核相對自旋不同的自旋異構物。其中正氫的兩個質子自旋平行，形成三重態，分子自旋量子數為 1；仲氫的兩個質子自旋反平行，形成單重態，分子自旋量子數為 0。在標準溫度和壓力下，氫氣含 74.87% 正氫和 25.13% 仲氫。正氫和仲氫的平衡比例受溫度影響，但由於正氫屬於激發態，而非穩定態，所以無法純化分離出來。在極低溫度下，處於平衡狀態的氫幾乎完全由仲氫組成，如在 25K 下仲氫的含量為 99.01%；隨著溫度的升高，正氫和仲氫的平衡比例趨向於 3:1。純正氫在液態和氣態時的熱力屬性與混合態截然不同，這是因為兩者在旋轉熱容上有很大的差異。其他含氫分子和官能基也有正、仲之分，例如水和亞甲基，但它們在熱力屬性上的差別極小。
在沒有催化劑的情況下，正氫和仲氫之間的轉換速率隨著溫度的升高而增加，所以急速冷卻的氫會含有高比例的正氫，且這些正氫會非常緩慢地轉變為仲氫。氫在冷卻後的正、仲比例對液氫的製備和儲存十分重要：正氫向仲氫的轉化是一個放熱過程，其產生的熱量足以使一部份液氫蒸發並流失出去。在氫冷卻過程中協助正、仲氫轉化的催化劑有：三氧化二鐵、活性炭、鉑石棉、稀土金屬、鈾化合物、
三氧化二鉻及某些鎳化合物等等。
## 製備
### 實驗室製備
在實驗室里，氫可以通過活潑金屬和稀酸反應，或者兩性金屬和鹼的溶液反應得到。
: ${\ce {Zn\ +H2SO4->ZnSO4\ +H2\uparrow }}$
: ${\ce {2Al\ +2NaOH\ +6H2O->2Na[Al(OH)4]\ +3H2\uparrow }}$
### 水電解
對水進行電解。淡水。鹽水。海水。處理過的汙水，搭配相對的觸媒電極片，都能電解出氫氣，以很容易地製成氫氣。當低電壓的電流通過水的時候，氧氣會在陽極積累，而氫氣則在陰極積累。在製備氫氣作儲存之用時，陰極的材料一般選用鉑等惰性金屬，以避免與氫氣發生反應。如果製成的氫氣須要當場用來燃燒，則氧氣可助燃，所以陽極也應該用惰性金屬作為材料。理論上的最大能源效率，即產出的氫氣所含潛在能量佔投入電能的比例，為 80% 至 94%。
: ${\ce {2H2O->2H2\uparrow +O2\uparrow }}$ | [
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氢气 | 用鋁鎵合金製成的顆粒，加入水中，會產生氫氣。這一反應也會產生氧化鋁，但用於防止顆粒表面形成氧化層、成本較高的鎵在反應之後可以回收再用。這一反應有潛力成為氫能經濟的基礎，因為氫氣可以在現場生成，無須運輸。
### 工業生產
在眾多氫氣製備方法中，經濟效益最高的是從碳氫化合物中提取出氫氣。商業上，一般是對天然氣進行蒸汽重整來大規模生產氫氣。在高溫下（1000–1400K，700–1100°C，1300–2000°F），水蒸汽和甲烷會發生反應，產生一氧化碳和氫氣：
: ${\ce {CH4 + H2O -> CO +3H2}}$
以上的反應在低壓進行時效率更高，但卻通常在高壓下進行（2.0MPa，20atm，600inHg），因為高壓氫氣是市場上最為普及，且變壓吸附純化系統更適合在高壓下工作。由於反應所產生的一氧化碳 - 氫氣混合物經常直接用於生產甲醇及其他相關的化合物，所以也稱為合成氣。甲烷以外的碳氫化合物也可以用來製造合成氣，但產物比例可能會有所不同。在缺水的情況下，焦炭就會形成，影響合成氣的產量：
: ${\ce {CH4 -> C + 2H2}}$
因此，在進行蒸汽重整過程時，通常應注入過量的蒸汽。利用水氣轉移反應，並以氧化鐵作為催化劑，可從蒸汽中提取出更多的氫氣。蒸汽重整也是二氧化碳的一大工業來源：
: ${\ce {CO + H2O -> CO2 + H2}}$
氫氣的其他生產方法還包括，碳氫化合物的部份氧化反應：
: ${\ce {2CH4 + O2 -> 2CO + 4H2}}$
以及對煤炭反應的碳產物進行以上的轉移反應：
: ${\ce {C + H2O -> CO + H2}}$
氫氣在生產後，有時會在同一道工業程序中直接被使用，期間不經分離。在用於生產氨的哈柏法中，氫氣是從天然氣中提取出來的。對鹽水進行電解，在產生氯氣的同時，也會生成氫氣作為副產品。
## 化學性質
### 氫氣和單質反應
氫氣的燃點雖然高達攝氏 573.6 度，由於氫氣的比熱低，只要吸收一點熱量，就能瞬間達到燃燒所需要的溫度，不過非發煙式且低於 573.6°C 的高溫不會使氫氣燃燒，所以說氫氣只是閃火點低
而氫氣在普通條件下是動力學穩定的，如和氧氣混合併無明顯反應，但其混合物在火花的引發下會發生連鎖反應並爆炸。
: ${\ce {2 H2 + O2 -> 2 H2O}}$ | [
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] |
氢气 | 氫氣和鹵素也能直接反應，反應的劇烈程度隨著鹵素的活潑性的升高而加劇，如氫氣和氯氣反應可由光或熱引發，而和氟氣在黑暗處接觸即可爆炸：
: ${\ce {H2 + Cl2 -> 2 HCl}}$
: ${\ce {H2 + F2 -> 2 HF}}$
除了非金屬外，活潑金屬（如鈉、鈣、鈾等）也能和氫氣反應，生成氫化物：
: ${\ce {Ca + H2 -> CaH2}}$
### 氫氣和金屬化合物的反應
氫氣可以將活動性順序表中錳及錳之後的元素的氧化物還原為單質，對於變價金屬也可以得到部分還原的物質，以氧化鐵為例，被氫氣還原在 325 °C 以下得到的是四氧化三鐵，在此溫度之上得到金屬鐵：
: ${\ce {3 Fe2O3 + H2 -> 2 Fe3O4 + H2O}}$
: ${\ce {Fe2O3 + 3 H2 -> 2 Fe + 3 H2O}}$
金屬鹽也可以被氫氣還原，較為容易被還原的有氯化鈀等物質，在溶液中即可反應：
: ${\ce {PdCl2(aq) + H2 -> Pd v + 2 HCl}}$
### 氫分子錯合物
H2 可以直接作為配位基，和金屬形成錯合物。例如氯化氫化雙 (dppe) 鐵和氟硼酸鈉在氫氣氛圍中反應，可以得到 H2 錯合物：
: ${\ce {HFeCl(dppe)2 + NaBF4 + H2 -> [HFe(H2)(dppe)2]BF4 + NaCl}}$
### 氫氣和有機物反應
不飽和烴如烯烴或炔烴可以和氫氣發生加成反應得到相應的烷烴，這一反應通常由鎳、鉑催化劑催化；如果要完成部分氫化，可以採用林德拉催化劑，如毒化的 Pd-CaCO3。
: CH3CH2C≡CCH2CH3 + H2 —Lindlar cat.→ CH3CH2CH=CHCH2CH3
芳香烴作為不飽和烴的一種，也能和氫氣發生加成反應，如果使用釕系催化劑，可以使反應停留在環己烯一步上：
: C6H6 + 3 H2 —Ni→ C6H12
: C6H6 + 2 H2 —Ru cat.→ C6H10
## 應用
### 礦物加工 | [
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氢气 | 石油和化學工業都需要大量的氫氣，其中以化石燃料加工及經哈伯法生產氨為主要應用。在石油化工廠中須消耗氫氣的過程有：加氫脫烷基反應、加氫脫硫反應和裂化反應等。氫氣可以用來對非飽和脂肪和油類進行氫化，增加飽和程度（如固體植物牛油），也可以用於生產甲醇和氫氯酸。氫氣可以對金屬礦物進行還原。
氫氣極易溶於許多稀土金屬和過渡金屬之中，同時也可溶於奈米晶態和非晶態金屬。氫氣在金屬中的可溶性受到了晶格局部變形和雜質的影響。利用這一屬性，可將氫氣在高溫鈀圓盤上通過，提高氫氣的純度。不過，氫氣在金屬中的溶解會導致氫脆現象，使運輸管和儲存罐的設計更為複雜。
### 工業輔助物質
除了用在化學反應中以外，氫氣在物理學和工程學上也有廣泛的應用。它在一些焊接方法中可用作保護氣體，例如原子氫焊接法。氫氣的分子質量很低，因此它密度低，熱容量和熱導率亦為所有氣體中最高，很適合用作發電機的轉子冷卻劑。液氫可用於低溫物理學中，例如對超導現象的研究。
氫氣和氮氣混合後稱為合成氣體，可以作為示蹤氣體，用於探測微小的漏氣點，在汽車、化學、發電、航空航天和電信等工業中都有應用的空間。氫氣在許多國家屬於合法的食物添加劑（E 949），可以用來探測包裝有無洩漏，以及防止食物氧化。
氫可以用來飽和無定形碳和無定性矽的斷鍵（懸鍵），使物質屬性變得更加穩定。氫在各種氧化物材料中可以作為電子供體，包括：ZnO、SnO2、CdO、MgO、ZrO2、HfO2、La2O3、Y2O3、TiO2、SrTiO3、LaAlO3、SiO2、Al2O3、ZrSiO4、HfSiO4 和 SrZrO3 等。
氘和氚同位素也有其各自的特殊應用。氘可用於核融合反應中，也可用作核分裂反應的中子減速劑。化學和生物學都會利用氘化合物來研究各種化學反應的動力學同位素效應。核反應爐所產生的氚可以用來製造氫彈，在生物科學中用作同位素標識，以及在發光顏料中作為輻射源。
1990 年國際實用溫標（ITS-90）把氫在平衡態下的三相點溫度定義為 13.8033 K，從而為克耳文溫標定下了國際標準。
### 能量載體
氫本身並不是一種能源資源。但氫的質量密度很低，稍高於空氣密度的四分之一，所以歷史上有氣球和飛艇都曾經用氫氣來提供升力。但 1937 年的興登堡號空難造成 36 人死亡後，氫氣在載人飛艇及氣球填充上的應用已被較穩定的氦氣所完全取代。 | [
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氢气 | 利用氘或氚同位素來進行核融合發電的技術，目前還遠沒有達到發展成熟的階段。雖然太陽的能量來自於氫的核融合反應，但要在地球上穩定控制這一過程卻是極為困難的。用太陽能、電能或生物過程產生單質氫所需要的能量，比氫燃燒後所得的能量要高，所以氫只能是一種能量載體，就像電池一樣。氫可以取自甲烷等化石燃料，但這些燃料都屬於不可再生資源。
液氮和壓縮氫氣的單位體積所含能量密度比傳統燃料低得多，但單位質量所含能量密度卻更加高。氫氣被認為有潛力成為一種常用的能源載體，作為新的經濟基礎。舉例來說，在從化石燃料提取氫氣的同時，可以對二氧化碳進行收集及封存。汽車在燃燒氫氣時的污染較低，除一些氮氧化物以外，不會排放任何的碳。燃料電池將氫氣和氧氣轉化為電力，效率比內燃機更高。然而，要從現狀完全轉變到氫經濟，則需要龐大的基建成本。
### 醫療
2007 年，太田成男發表了一項關於氫氣可在醫療上扮演抗氧化劑角色的研究，其中指出氫氣可選擇性地減少具細胞毒性之氧自由基。但並無廣泛承認的實驗論證其為一種標準化的療法，而有人以此行醫，造成拖延疾病最終致死的案例。多地行政部門指出，類似於「氫氣機」、「水素水」等氫氣療法相關的產品並非合法醫療器材，亦不具醫療效果而屬於欺詐產品。
### 食品生產
在食品生產業，氫氣也用於氫化處理過程。
## 參考文獻
## 參見
* 氫
* 氫的同位素：氕、氘、氚
* 氫原子
* 氫的物態：氫氣、壓縮氫氣、液氫、固態氫、金屬氫 | [
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化学计量学 | **化學計量學**（chemometrics）是一門應用數學、統計學和計算機技術的原理和方法來處理化學數據的學問，它是分析化學的三級學科，化學計量學可以優化化學量測過程，並從化學量測數據中最大限度地提取有用的化學信息，與其他以理論計算的化學分支如量子化學不同的是，化學計量學是以化學實驗數據為基礎的學科，其一切理論和方法都是建立在試驗數據的基礎上的。
## 概念與應用
國際化學計量學學會給化學計量學作出了如下的定義：
化學計量學是一門通過統計學或數學方法將對化學體系的測量值與體系的狀態之間建立聯繫的學科。
化學計量學的研究覆蓋了很廣泛的範圍，其所涉及的不同方法均可以應用於化學。化學計量學可以應用於優化實驗方法以獲得較好的實驗數據（如實驗參數的最優化、實驗設計、信號處理等）；同時化學計量學還可以從這些數據中獲取有用的信息（如數據的統計處理、模式識別、模擬等）。
總之，化學計量學的任務就是儘量在其所研究的方法與這些方法在化學中的應用之間建立一種聯繫。
## 化學計量學的興起
### 興起的背景
* **計量經濟學的產生**：1920 年代開始的大蕭條時代對西方經濟體系產生了嚴重的衝擊，同時也衝擊到了傳統的經濟學領域，一些經濟學家試圖引入數學和統計學的方法研究和分析經濟現象，以期避免經濟的劇烈周期性波動。他們引入了數學中的主成分分析、因子分析等方法，對經濟走勢、股票價位等海量信息進行處理，獲得了空前的成功。
* **儀器分析技術的發展**：進入 20 世紀之後，隨著物理學和工程技術的發展，化學科學發生了質的變化，從早期的描述性的定性學科，逐漸轉變為定量科學，各種光譜、質譜、核磁共振譜、光度分析等技術的產生和分析儀器的出現更是將化學的定量程度和精確性帶到一個新的階段，同時也產生了大量的數據，如何處理和應用這些由儀器產生的海量數據成為化學家面臨的一個難題
### 化學計量學的產生
化學計量學的產生始於計量學與化學數據的結合。化學領域出現的海量數據與此前在經濟學領域出現的海量數據具有相似性，這提示化學家們應用計量經濟學的處理方法來處理化學問題，1960 年代，Crawford 以及 Morrison 以計量學方法處理質譜數據取得成功，證明了化學數據也就有「結構」的，而且可以利用這種內在結構獲得有用的信息，從此開啟了化學計量學的大門。但是他們應用的方法還僅僅是計量經濟學方法的簡單移植，雖然取得成功但並非最適合化學數據的處理方法。 | [
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] |
化学计量学 | 1972 年 Bruce Kowalski 發展了適應於化學數據的處理方法「線性學習機器」程序，這是一套全新的並專門適用於化學領域的方法，這個方法的誕生標誌著化學計量學的產生。同年，Svante wold 根據化學與測量學的英文單詞創造了 **chemometrics** 一詞，即中文的化學計量學。
1974 年，國際化學計量學學會成立，標誌著化學計量學作為一門新型學科得到了國際學術界的承認。
### 化學計量學的發展
隨著計算科學和化學分析的發展，人們對物質世界的認識越來越深刻，各種測量手段層出不窮，人們面對的測量數據也越來越多，電子計算機的出現和迅速發展更是極大地刺激了化學計量學的發展。現在的化學計量學不僅僅應用於多維化學數據的處理，還與化學工程相結合，為化學工程優化決策提供理論指導；與藥物化學相結合研究定量構效關係，是合理藥物設計的一個理論基礎。
## 化學計量學方法
* 早期的化學計量學處理數據應用的都是計量經濟學的方法如：主成分分析法、因子分析、典型相關性方法等
* 1970 年代出現了線性學習機器、非線性映射等方法轉麼用於處理化學數據
* 1980 年代微型計算機逐漸普及，出現了專家系統和資料庫技術
* 1990 年代出現了人工神經網絡、模擬退火算法、遺傳算法等方法
* 中文化學計量計算器
## 參見
* 分析化學
* 計算化學
* 量子化學
* 俞汝勤 | [
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中間子 | **介子**是自旋為整數、重子數為零的強子，參與強相互作用。介子屬於強子類。它是比電子重的帶電或不帶電的粒子。
根據夸克模型，介子是由一個下夸克和一個反上夸克組成的束縛態，這一對夸克和反夸克可以不同味，例如
π+
＝(
u
d
)；也可以同味，例如
J/ψ
＝(
c
c
)，由同味的夸克和反夸克組成的介子被稱作夸克偶素。
自旋為 0 的介子，在量子場論中是用純量波函數描述，根據其宇稱為 - 1 或 + 1 分別稱為贗標介子和純量介子。自旋為 1 的介子，在量子場論中是用矢量波函數描述，根據其宇稱為 - 1 或 + 1 分別稱為矢量介子或軸矢介子。
## 歷史
1934 年，湯川秀樹預測介子的存在與其近似的質量，介子用來作為核力的載體，核力用來維持住原子核，若沒有核力，所有含兩個以上質子的原子核其質子將會因為電磁斥力的關係而分離。湯川稱這個載體粒子為 meson，名稱來自希臘字 _mesos_，意義是**中間**，會這麼稱呼是因為他預期其質量在電子與質子之間（應該為電子的 200 倍），質子的質量約是電子的 1836 倍，湯川最初稱它為「mesotron」，不過後來被海森堡糾正。海森堡指出希臘字的「mesos」裡面沒有「tr」。
1936 年，美國物理學家卡爾・戴維・安德森在宇宙射線中發現一種帶單位正電荷或負電荷的粒子，質量為電子的 206.77 倍，人們以為它就是湯川秀樹預言的介子，把它叫做 μ 介子，後來發現這種粒子其實並不參與強相互作用，是一種輕子，所以改名 μ 子。
1947 年英國物理學家塞西爾・鮑威爾在宇宙射線中又發現一種粒子，帶單位正電荷或負電荷，質量為電子的 273 倍，與核子有很強的相互作用，平均壽命 2.60310×10-8 秒，這才是湯川秀樹預言的介子，叫做 π 介子。π+ 介子和 π-介子互為反粒子。1950 年又發現 π0 介子。
## 命名
† 軸矢量介子又稱贗矢量介子（Pseudovector meson）。
**介子的分類與命名**
† C - 宇稱只與中性介子有關。
†† 當 _J_PC=1−−，1³_S_1 時 ψ 介子被稱為
J/ψ
介子
由於一些符號可能指向一個以上的粒子，因此有一些額外的規則：
* _J_PC=0 的是純量介子，_J_PC=1 是矢量介子，對於其餘的介子，_J_ 數被添加到下標：_a0_、_a1_、_χc1_ 等。 | [
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] |
中間子 | * 對於大多數 _ψ_、_ϒ_、_χ_ 的狀態，通常會增加能級信息的表示：_ϒ(1S)_、_ϒ(2S)_。第一個數字是主量子數，字母是能級符號 _L_，省略了多重性，因為它隱含在符號中，_J_ 在需要時標識：_χb1(1P)_，如果沒有獲得光譜信息，則在括號中添加質量（單位：MeV/_c_2）：_ϒ(9460)_。
* 符號不能區分乾淨夸克態和膠球態，因此膠球使用同樣的標記方案。對於具有 _J_PC 奇特量子數 (_J_PC = 0−−，0+−、2+−、4+− …、1−+、3−+、5−+…) 的介子，使用與 _J_P 相同介子的相同符號，將 _J_ 標識出，同位旋（I=0）的 _J_PC = 1−+ _標記為 ω1_。當粒子的量子數未知時被稱為 _X_,_Y_,_Z_，在括號中用質量表示。
* $K^{0}\,({\bar {s}}d)$ 與 ${\bar {K}}^{0}\,(s{\bar {d}})$ 混合產生，短壽命的 $K_{S}^{0}={\begin{matrix}{{\sqrt {2}} \over 2}\end{matrix}}(K^{0}-{\bar {K}}^{0})$ （ _PC_ = +1），長壽命的 $K_{L}^{0}={\begin{matrix}{{\sqrt {2}} \over 2}\end{matrix}}(K^{0}+{\bar {K}}^{0})$ （ _PC_ = -1）。
* 如果**_J_PC** 是正規級數，包括正宇稱 (_J_P = 0+, 2+, …) 和負宇稱 (_J_P = 1−, 3−, …) 在符號上添加上標（ **∗** ）。
* 如果不是贗純量介子（_J_P ＝ 0−）或矢量介子（_J_P ＝ 1−）將 (**_J_PC**) 添加為符號下標。
* 當介子的共振態已知時，在括號中加上。當共振狀態未知時，在括號中添加質量（單位：MeV/_c_2）。介子處於基態時，括號中不加任何東西。
## 參見
* 介子列表
* 基本粒子列表
* 夸克模型
## 外部連結
* A table of some mesons and their properties（頁面存檔備份，存於網際網路檔案館） | [
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] |
中間子 | * Authoritative information on particle properties is compiled by the _Particle Data Group_ http://pdg.lbl.gov（頁面存檔備份，存於網際網路檔案館）
* hep-ph/0211411: The light scalar mesons within quark models（頁面存檔備份，存於網際網路檔案館）
* Naming scheme for hadrons（頁面存檔備份，存於網際網路檔案館）（a pdf file）
### 最新發現
* What Happened to the Antimatter? Fermilab's DZero Experiment Finds Clues in Quick-Change Meson（頁面存檔備份，存於網際網路檔案館）
* CDF experiment's definitive observation of matter-antimatter oscillations in the Bs meson（頁面存檔備份，存於網際網路檔案館） | [
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原子物理学 | **原子物理學**（英語：atomic physics）是研究原子的結構和性質及原子與電磁輻射和其它原子交互作用的科學。
## 背景
### 原子的起源
對原子概念的記述可以上溯到古印度和古希臘。有人將印度的耆那教的原子論認定為開創者大雄在公元前 6 世紀提出，並將與其同時代的彼浮陀伽旃延和順世派先驅阿夷陀翅舍欽婆羅的元素思想也稱為原子論。正理派和勝論派後來發展出了原子如何組合成更複雜物體的理論。在西方，對原子的記述出現在公元前 5 世紀留基伯和德謨克利特的著作中。對於印度文化影響希臘還是反之，亦或二者獨立演化是存在爭議的。
### 對於光譜的研究
光譜是研究原子物理學的重要途徑之一。不同元素原子光譜中譜線的發現和深入研究標誌著原子物理學的開端。譜線是指光譜中細銳的峰，出現於受激發的原子（輻射或熱激發的離子（參見火焰））或發光自由原子（自由原子是指氣體或蒸汽狀態下存在的原子，與其他原子距離足夠遠，交互作用可以忽略）。
在對於譜線的研究基礎上，產生了波耳模型，直至現今描述原子中電子殼層結構的原子軌道模型，該模型是今天我們對於化學的所有認識的基礎。這些結論並不是顯而易見的，而是人們經過了一個世紀的探索，最終成功地為化學建立起堅實的基礎，同時，原子物理學也在其他許多方面有著廣泛的應用。
### 近代物理中的原子
1911 年物理學家歐尼斯特・拉塞福實驗用 α 粒子穿過金箔產生的散射現象，證明原子含有直徑約 10 費米質量與電荷中心，完整的原子尺寸約 0.1 奈米。他設想原子中心為帶正電的核，核周圍有帶負電的電子做軌道運動。但根據古典力學原理，這樣的原子會因為電子發射電磁波而不穩定。而且，所發射出來的電磁波波譜不符合所觀測到的原子光譜。
這些問題在 1913 年被丹麥物理學家波耳改進的原子模型所解決，在波耳模型中位於特殊軌道的電子具有取決於軌道半徑才擁有特定的能量（這個能量值後來被稱作能級）。因為僅允許有特定軌道，所以電子只具有特定能量，產生特定允許能階圖。電子在允許軌道上部發射電磁能，但電子從一個軌道躍遷到另一個軌道上時，發射或吸收的能量為兩軌道允許能量的差值，而這正與所觀察到的原子光譜一致。 | [
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原子物理学 | 雖然波耳模型提供了一種有用的形象化模型，但近代原子理論還是採用量子力學而向前發展。電子具有波動性，因此波耳軌道模型可以解釋為一種要求，以適合繞核電子波的總波數。原子中的電子較好地被表示為標以特定量子數組合的電荷分布，而不是在圓軌道上的點狀粒子。量子數的每種可能的組合對應到一個階級，雖然不完全能被立即佔據 。波耳的理論能部份地解釋原子光譜，而現代量子理論則能明確地詳細計算光譜。
基態原子的電子的量子數，嚴格地確定了原子在週期表上的位置；而電子結構則確定與其它原子形成化學鍵的類型。氫原子的特性可以非常精確的計算，但對於較複雜的原子，預期特性的問題就變的非常困難。光譜學與原子間的碰撞被用於檢測對能階何其他特性所做的預測。原子物理的直接技術應用包括雷射和原子鐘。
## 與核物理學的區別和聯繫
由於「原子」（atomic）和「核」（nuclear）在英語中常常作為同義詞使用，很多人把「原子物理學」這一概念和核能或者核武器聯繫在一起。然而，物理學家將原子物理學同研究原子核內的核子交互作用，以及研究改變、融合、分拆核子的核反應的核物理學區別開來：原子物理學主要研究原子中電子雲的行為，以及其在核子的總自旋，電荷作用下產生的效應。
## 研究論題
一些前沿的研究論題為：
* 使用雷射光譜學的技術來測量 μ- 氫原子的蘭姆位移，物理學者發現，質子的尺寸小於先前測量結果，這個質子半徑之謎意味著，超精準的量子電動力學是否可能有瑕疵。
* 在未來對於反氫原子進行精密光譜學測量時，是否能夠探測到物質與反物質的微小差別？
* 應用原子鐘的精準計時能力，物理學者正在做實驗測量基礎常數是否會緩慢地改變。
## 參考文獻
## 外部連結
* （英文） 網際網路上的原子物理學
## 參見
* 原子鐘：原子物理學的典型應用
* 量子光學：和原子物理學有很多重疊的領域
* 塞曼效應、史塔克效應：早期原子物理學的重要的基本結果
* 雷射冷卻、低溫物理學、玻色 - 愛因斯坦凝聚、簡併費米氣體：現代原子物理學新發展 | [
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0.13746115565299988
] |
底数 | **底數**，很多時亦稱基數，可以指：
* 底數 (指數), 指數 _b_n 中的數字 _b_，對數中的底數和此意義類似。
* 底數 (進位)：進位記數法中 10 所代表的數字，亦是所需數字符號的個數。
* 底數 (物理學)，粒子物理學中的一個量子數。
## 參見
* Base
* Root | [
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元素87 | **鍅**（英語：**Francium**；中國大陸譯為**钫**、港澳譯為**鈁**【拼音：fānɡ，注音：ㄈㄤ】，台灣譯為**鍅**【拼音：fǎ，注音：ㄈㄚˇ】），是一種化學元素，其化學符號為 **Fr**，原子序數為 87。鍅是一種放射性極高的金屬，半衰期很短，是前 105 種化學元素中穩定性最低的，比許多超鈾元素都要不穩定，其同位素會快速衰變成砈、鐳或氡。它最長壽的同位素－－鍅 - 223 的半衰期僅 22 分鐘。鍅的電負度是所有元素第二低的，僅次於其上方的銫。鍅的電子組態為 [Rn] 7s1，因此該元素被歸類為鹼金屬。
塊體的鍅金屬從未被觀察到。根據元素週期表的同族元素特性規律，當足量的鍅聚集在一起形成一塊固體或液體時（因鍅熔點低，室溫時可能為液態），它會是高活性金屬，然而獲取如此高活性的鍅是幾乎不可能的，因為鍅的半衰期短，放射性強，其衰變放出的熱會立即使鍅汽化成蒸氣。
1939 年，法國物理學家瑪格麗特・佩里在法國（鍅的名字由此而來）從 227Ac 的衰變產物中發現了鍅元素。鍅是最後一個從自然界中發現，而非經由人工合成發現的元素。鍅在實驗室以外極為罕見，它會痕量出現在鈾和釷礦石中，不斷地形成與衰變，地殼中只有約 20 至 30 克的鍅同時存在，在天然元素中的含量僅高於砈。除了鍅 - 223 和 221 以外，其他同位素都是在實驗室中人工製得。在實驗室中產生最大量的鍅元素為超過 300,000 個鍅原子的團簇。
## 特性
鍅是最不穩定的天然元素之一，其最穩定同位素鍅 - 223 的半衰期也只有 22 分鐘。唯一不穩定性可以和鍅比較的天然元素是砈，雖然人造的砈 - 210 有較長的半衰期（8.1 小時），但在天然中存在的最穩定砈同位素砈 - 219（鍅 - 223 的 α 衰變產物）的半衰期只有 56 秒。所有鍅同位素都會衰變為砈、鐳或氡。鍅的穩定性甚至比原子序 106（𨭎）以下的所有人工合成元素都要低。 | [
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元素87 | 鍅是一種鹼金屬，化學屬性與銫相近，同樣只有一顆價電子。它在所有元素中有最高的等效質量。如果成功製成，液態鍅在熔點下的表面張力將為 0.05092 N/m。鍅的熔點預測在 8.0 °C（46.4 °F）左右，也有數據稱是 27 °C（81 °F），但由於鍅既罕有又具放射性，所以這些數字並不一定準確。基於門德列夫的方法給出了 20 ± 1.5 °C（68.0 ± 2.7 °F）的值。鍅的預測沸點 620 °C（1,148 °F）也是不確定的，598 °C（1,108 °F）、677 °C（1,251 °F）還有門德列夫方法外推出來的 640 °C（1,184 °F）也都是有人建議的預測值。鍅的密度預測在 2.48
g/cm3 左右（門德列夫的方法計算出的值為 2.4 g/cm3）。
萊納斯・鮑林估計鍅的電負度為 0.7，當時與銫相同。銫的電負度之後被修正為 0.79，但因數據不足，不能同樣地修正鍅的電負度數字。正如相對論效應所預測的那樣，鍅的游離能（392.811 (4) kJ/mol）比銫（375.7041 (2) kJ/mol）稍高，這意味著銫是兩者中電負度較小的。鍅的電子親和能應該也比銫高，Fr−離子也會比 Cs−離子更易極化。不像其它已知的異核雙原子分子，CsFr 分子的負電荷預計在鍅的部分。超氧化鍅（FrO2）比較輕的鹼金屬超氧化物有更顯著的共價性，這歸因於鍅中的 6p 電子更多地參與到鍅 - 氧鍵合。
鍅會和多種銫鹽共沉澱，如過氯酸鍅會和過氯酸銫共沉澱，從而分離出鍅。其他能共沉澱的銫鹽包括碘酸銫、苦味酸銫、酒石酸銫、氯鉑酸銫以及矽鎢酸銫。同樣可與鍅共沉澱的有矽鎢酸和過氯酸，而不需要任何鹼金屬載體。幾乎所有鍅鹽都可溶於水。
## 歷史
1870 年，化學家就開始猜想銫以下存在著一種尚未發現的鹼金屬，原子序為 87。當時人們稱其為「eka-caesium」（銫下元素）。多個研究團隊嘗試發現並分離出這種新元素，在真正發現之前，至少出現了 4 次錯誤發現。
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元素87 | 蘇聯化學家 D. K. 多布羅謝爾多夫（Dobroserdov）是第一位聲稱發現了鍅的科學家。1925 年，他在一個鉀樣本中觀察到弱放射性，錯誤地認為這是 87 號元素所造成的。實際上放射性來自自然產生的鉀 - 40。他而後發佈了一篇有關預測 87 號元素的屬性的論文，當中將其以他的國家俄羅斯（Russia）命名為 Russium。不久後，多布羅謝爾多夫開始專注於他在敖德薩理工學院的教學工作，而並沒有繼續研究這一元素。
翌年，英國化學家傑拉爾德・德魯斯（Gerald J. F. Druce）和費德里克・羅林（Frederick H. Loring）分析了硫酸錳的 X 光片，以為觀察到的光譜線來自於 87 號元素。他們發佈了這項發現，把該元素命名為「Alkalinium」，因為它是最重的鹼金屬（alkali metal）。
1930 年，美國阿拉巴馬州理工學院的弗雷德・艾利森在用磁光儀器研究銫榴石和鋰雲母後，聲稱發現了 87 號元素，並建議以他的家鄉佛吉尼亞州（Virginia）命名為 Virginium，符號 Vi 或 Vm。然而在 1934 年，伯克利加州大學的 H. G. 麥佛森（H. G. MacPherson）證明艾利森的儀器是無效的，並且推翻了他的發現。
1936 年，羅馬尼亞物理學家霍里亞・胡盧貝伊與法國物理學家伊維特・哥舒瓦也研究了銫榴石，使用的是高解析度 X - 光儀器。他們觀察到幾條弱發射光譜線，以為它們來自 87 號元素。胡盧貝伊和哥舒瓦發佈了這項發現，並以胡盧貝伊的誕生地羅馬尼亞莫耳達維亞省（Moldavia）命名為 Moldavium，符號為 Ml。1937 年，美國物理學家 F. H. 赫士（F. H. Hirsh Jr.）對胡盧貝伊的研究手法進行了批判。赫士非常肯定 87 號元素不會在自然界中發現，並聲稱胡盧貝伊觀察到的其實是汞和鉍的 X - 射線光譜線。胡盧貝伊堅持自己的 X - 光儀器和實驗方法足夠準確，他的發現不可能是錯誤的。胡盧貝伊的導師，諾貝爾獎得主讓・佩蘭也支持他的發現。馬格利特・佩里在 1939 年確實發現鍅之後，一直都批評胡盧貝伊的研究，直到自己被承認為鍅的正式發現者為止。
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元素87 | 1939 年，法國巴黎居里研究所的馬格利特・佩里在純化錒 - 227 的時候發現了鍅元素。錒 - 227 的衰變能量應該是 220 keV，但佩里卻觀察到衰變能量低於 80 keV 的粒子。她認為這些異常的衰變活動源自尚未發現的一種衰變產物。這種產物在純化過程中已經被分離出去，所以是在純錒 - 227 樣本中自然產生的。經過一系列測試之後，她消除了這種未知同位素是釷、鐳、鉛、鉍和鉈的可能性。該產物具有鹼金屬的屬性（比如可以和銫鹽共沉澱等），佩里因此判斷這就是錒 - 227 經 α 衰變所產生的 87 號元素。佩里隨後試圖確定錒 - 227 中 β 衰變與 α 衰變的比例。她的第一次測試將發生 α 衰變的概率設為 0.6%，後來她將這個數字修改為 1%。
佩里把這一新同位素命名為錒 - K（今天則稱鍅 - 223），又在 1946 年提出正式命名 Catium（化學符號 Cm），因為她相信這種元素正離子（cation）的電正性是所有元素中最高的。佩里的其中一位導師伊雷娜・約里奧 - 居里反對這一命名，因為 Catium 一字更像是「貓元素」（cat），而非正離子。此外，這個命名的化學符號和分配給鋦的化學符號一樣。佩里繼而建議用法國（France）來命名為 Francium，也就是鍅的現名。國際純粹與應用化學聯合會在 1949 年接納了這一名稱，鍅也成為了繼鎵之後第二個以法國命名的元素。鍅最初的符號為 Fa，但不久後便改為 Fr。鍅是 1925 年錸被發現後，最後一個在自然界中發現的元素。歐洲核子研究中心在 1970 年代至 1980 年代間進一步研究了鍅的結構。
## 同位素
鍅共有 34 個同位素，質量數從 199 到 232 不等，另有 7 種亞穩態同核異構物。所有鍅同位素都具有極高的放射性，半衰期很短，非常不穩定。只有鍅 - 223 和鍅 - 221 存在於自然界中，其中鍅 - 221 罕見得多。 | [
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元素87 | 鍅 - 223 是最長壽的鍅同位素，半衰期為 21.8 分鐘。再發現或合成半衰期更長的鍅同位素的可能性極低。鍅 - 223 是錒衰變系的第五個產物，是錒 - 227 的子同位素，錒 - 227 只有 1.38% 的概率會 α 衰變成鍅 - 223。鍅 - 223 會再 β 衰變為鐳 - 223（衰變能量為 1149 keV），另有 0.006% 的 α 衰變路徑，產物為砈 - 219（衰變能量為 5.4 MeV）。鍅 - 223 在出現於自然衰變鏈之前原本被稱為 **actinium K**。
鍅 - 221 的半衰期為 4.8 分鐘。它是錼衰變系的第九個產物，是錒 - 225 的子同位素。鍅 - 221 會再 α 衰變成砈 - 217（衰變能量為 6.457 MeV）。錼衰變系從錼 - 237 開始，一直到砈 - 217 都只有唯一的衰變途徑，因此鍅 - 221 是唯一位在主要衰變途徑中的鍅同位素，惟自然界中的錼衰變系早已衰變殆盡，現時地殼中的錼衰變系初始同位素錼 - 237 主要由鈾 - 238 發生核散裂而痕量生成。
基態最不穩定的同位素是鍅 - 215，半衰期只有 0.12 μs。它會 α 衰變為砈 - 211，能量為 9.54 MeV。其亞穩態同核異構物鍅 - 215m 的穩定性則更低，半衰期只有 3.5 ns。
## 存量
自然界中的錒 - 227 有 1.38% 的概率經 α 衰變產生鍅 - 223，而鍅 - 223 的半衰期僅 22 分鐘，因此鍅只以痕量存在於鈾和釷的礦石中。在一個鈾樣本中，估計每 1×1018 個鈾原子就有一個鍅原子。根據計算，地球的地殼中，同一時間只有約 30 克鍅。
## 合成
鍅可以通過金 - 197 目標在直線加速器里被氧 - 18 束轟擊而成。這個過程最初於 1995 年由石溪大學物理系開發。視氧束的能量，這一過程可以產生鍅 - 209、210 和 211。
: 197Au + 18O → 209Fr + 6 n
: 197Au + 18O → 210Fr + 5 n
: 197Au + 18O → 211Fr + 4 n | [
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元素87 | 核反應產生的鍅會以離子形式離開金目標，靜電透鏡再把鍅離子引導至一個釔金屬片的表面，使鍅離子變回中性原子，鬆散氣體狀態的中性鍅原子再由磁光阱分離出來。原子在磁光阱中只會停留 20 秒左右，之後逃脫或衰變，但新的原子會不斷替代這些失去了的原子。這使得這些鍅原子處於穩態，在長時間內包含相當恆定數量的原子。首次進行這項實驗時，科學家捕捉了幾千個鍅原子；在不斷改進後，實驗最終能夠捕捉超過 30 萬個鍅原子。對捕獲的原子發射和吸收的光的測量提供了關於鍅原子能階之間各種躍遷的第一個實驗結果。初始測量顯示實驗值和基於量子理論的計算之間非常吻合。2012 年的鍅研究項目 TRIUMF 通過這種方法產生了超過 106 個鍅原子，其中有大量的 209Fr 還有少量的 207Fr 和 221Fr。
鍅的其他合成方法有用中子撞擊鐳，或以質子、氘原子核或氦離子撞擊釷。
223Fr 可以從其母同位素 227Ac 分離。通過 NH4Cl–CrO3 陽離子交換劑，可以從含錒物質中得到鍅，這些鍅可以通過其溶液通過含有硫酸鋇載體的二氧化矽純化。
1996 年，石溪大學小組在他們的磁光阱中捕獲了 3000 個鍅原子，這足以讓攝像機捕捉原子發出的螢光。鍅的合成量還不足以稱重。
## 應用
鍅由於極為罕見、穩定性低，因此目前還沒有商業應用。它在化學和原子結構等領域的研究中起到了作用。科學家曾提出用鍅來診斷各種癌症，但這一用途並不現實。
鍅可以被合成、捕捉和冷卻，而且原子結構簡單，因此它被用在一些光譜學實驗中，在能級和亞原子粒子間的耦合常數上提供了新的信息。對鍅 - 210 離子在雷射捕捉下所發出的光譜的研究指出，鍅的實際原子能級符合量子理論的預測。
## 備註
## 參考資料
## 外部連結
* 元素鍅在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 鍅（英文）
* 元素鍅在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素鍅在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 鍅（英文）
* Francium （頁面存檔備份，存於網際網路檔案館） at _The Periodic Table of Videos_ (University of Nottingham) | [
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52號元素 | **碲**（拼音：dì，注音：ㄉㄧˋ；英語：**Tellurium**），是一種化學元素，其化學符號為 **Te**，原子序數為 52，原子量為 127.6 u，是銀白色的類金屬。碲的化學性質與同屬氧族元素的硒及硫類似。碲在整個宇宙中比在地球上常見得多。它在地殼中極端稀有，可與鉑相比，部分原因是因為它會形成揮發性氫化物，導致碲在地球熱星雲形成過程中就流失到太空，而且碲對氧的親和力低，這導致它優先與沉入核心的緻密礦物中的其他親硫元素結合。碲偶爾會以天然的元素晶體被發現。
碲化物礦物於 1782 年首次在特蘭西瓦尼亞的 Kleinschlatten（今羅馬尼亞的茲拉特納）的一個金礦中由奧地利礦物學家弗朗茨 - 約瑟夫・米勒・馮・賴興施泰因發現的，儘管是馬丁・克拉普羅特在 1798 年以拉丁語 "tellus"（意為地球）命名了這個新元素。碲化金礦物是最顯著的天然金化合物。然而，它們本身並不是碲的重要商業來源，它通常是作為銅和鉛生產的副產品提取的。
在商業上，碲的主要用途是製造銅（碲銅）和鋼合金，可以提高機械加工性。碲化鎘太陽能板和碲化鎘半導體中的應用也消耗了相當一部分碲生產。碲被認為是技術關鍵元素。
碲沒有生物學功能，儘管真菌可以用它代替胺基酸中的硫和硒，例如碲半胱氨酸和碲甲硫氨酸。在人體中，碲會部分代謝為二甲基碲 (CH3)2Te，一種具有大蒜味的氣體，存在於暴露於碲或碲中毒的受害者的呼吸中。
## 性質
### 物理性質
碲有兩種同素異形體，晶體和無定形體。碲晶體是銀白色的，有金屬光澤。這些晶體是三方晶系的，具有手性（空間群為 152 或 154），這點類似灰硒。它是一種脆且容易粉碎的類金屬。無定形碲是從亞碲酸或碲酸（Te (OH)6）溶液中沉澱出來的黑褐色粉末。 碲是一種半導體，根據原子的排列，它在某些方向上會顯示出更大的導電性。當暴露在光線下時，碲的電導率略有增加（光電導效應）。熔化的碲對銅、鐵和不鏽鋼具有腐蝕性。在氧族元素中，碲有最高的熔點和沸點，分別為 722.66 K（449.51 °C） 和 1,261 K（988 °C）。
### 化學性質
碲不溶於水和鹽酸，可以和硝酸或硫酸反應。和金反應產生碲化金。碲和同族的硫、硒一樣，在空氣中燃燒的產物是二氧化物 ——TeO2。
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52號元素 | 有八種碲的同位素在自然界中存在。其中六種 ——120Te、122Te、123Te、124Te、125Te 和 126Te 是穩定的。剩下的兩種 ——128Te 和 130Te 有微弱的放射性，半衰期極長，其中 128Te 的半衰期為 2.2 × 1024 年，為所有放射性同位素中最長的。這約為宇宙年齡的 160 兆 (1012) 倍。穩定同位素只占了天然碲的 33.2%。
除了這些同位素，碲還有 31 種放射性同位素，原子量在 104 至 142 之間，半衰期都在 19 天以下。此外，碲也有 17 種同核異構體，半衰期可達 154 天。除了鈹 - 8 和一些較輕的核素中的 β 延遲 α 衰變分支，碲（104Te 至 109Te）是會進行 α 衰變的最輕元素。
碲的原子量 (127.60 g·mol−1) 比下一個元素碘 (126.90 g·mol−1) 還高。
### 存在
在地球地殼中，碲是最稀有的固體元素之一，和鉑相當（約 1 µg/kg）。而即使是穩定稀土元素中豐度最低的銩也有 500 µg/kg 的豐度。
碲在地殼中的稀有性並不能反映在其宇宙豐度上。在宇宙中碲比銣常見，儘管在地殼中銣的豐度是碲的 10000 倍。地球上碲如此稀有的原因被認為是由太陽星雲中吸積前分選過程中的條件引起的。當時某些元素的穩定形式在沒有氧氣和水的情況下，由還原性的自由氫控制。在這種情況下，會形成揮發性氫化物的某些元素，例如碲，會通過這些氫化物的蒸發而嚴重散逸至太空中。碲和硒是在這個過程中消耗最嚴重的重元素。
碲有時以單質存在，但更常見的是作為金的碲化物，例如碲金礦和白碲金銀礦（AuTe2 的兩種不同同質異形體）、碲金銀礦 Ag3AuTe2 和針碲金銀礦 AgAuTe4。特柳賴德鎮的命名是希望這裡有金的碲化物礦物（儘管在那裡發現了金礦石，但這個願望從未實現）。金本身通常以單質存在，但當作為化合物發現時，它最常與碲結合。
儘管碲與金的結合形式比未結合的單質形式更常見，但它更常以更常見金屬的碲化物出現（例如 melonite NiTe2）。天然亞碲酸鹽和碲酸鹽礦物也是存在的，由地球表面附近的碲化物礦物氧化形成。與硒相反，碲通常不會取代礦物中的硫，因為它們的離子半徑差異很大。因此，許多常見的硫化物礦物中含有大量的硒，但碲很少。 | [
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52號元素 | 在 1893 年的淘金熱中，卡爾古利的礦工在尋找純金時丟棄了一種類似黃鐵礦的材料，用於填補坑窪和修建人行道。1896 年，這種材料被發現是碲金礦，一種金的碲化物，並引發了第二次淘金熱，包括在街道上採礦。
## 歷史
碲（名稱來自拉丁文 _tellus_，意為地球）於 18 世紀在羅馬尼亞，靠近今天的阿爾巴縣市的 Kleinschlatten（今茲拉特納）附近的金礦中發現。1782 年，當時擔任奧地利特蘭西瓦尼亞礦山首席檢查員的弗朗茨 - 約瑟夫・米勒・馮・賴興施泰因得出結論，認為該礦石不含銻，但含有硫化鉍。第二年，他報告說這是錯誤的，礦石中主要含有金和一種與銻非常相似的未知金屬。經過三年的徹底調查和五十多次測試，米勒確定了礦物的比重，並指出當加熱時，這種新金屬會散發出白煙和類似蘿蔔的氣味。它的硫酸溶液是紅色的，並且當該溶液用水稀釋時，會產生黑色沉澱物。儘管如此，他還是無法識別出這種金屬，並給它起了名字 _aurum paradoxum_（矛盾的金）和 _metallum Problemum_（問題金屬），因為它沒有表現出和銻一樣的特性。
1789 年，匈牙利科學家 Pál Kitaibel 在來自瑙吉伯爾熱尼的礦石中獨立發現了這種元素。該元素曾被認為是含銀的輝鉬礦，但後來他將其歸功於米勒。1798 年，早先將碲從礦物碲金礦中分離出來馬丁・克拉普羅特命名了這個元素。
1960 年代，碲以碲化鉍的形式用於熱電應用，也用於易加工鋼合金，成為碲的主要用途。
## 生產
大多數的碲和硒是從斑岩銅礦中獲得的。該元素是從陽極污泥中回收的，這些元素來自氣泡銅的電解精煉。它也是高爐精煉鉛產生的粉塵的成分。1000 噸的銅礦中，可以提取到一千克的碲。
陽極污泥中包含抗腐蝕金屬的硒化物和碲化物，化學式 M2Se 或 M2Te (M = Cu、Ag、Au)。在 500°C 的溫度下，陽極污泥在空氣中與碳酸鈉一起焙燒。金屬離子被還原為金屬，而碲化物則轉化為亞碲酸鈉。
亞碲酸鹽可以與水從混合物中浸出，通常以亞碲酸氫鹽 HTeO3- 的形式存在於溶液中。亞硒酸鹽在此過程中也會形成，但可以通過添加硫酸將它們分開。亞碲酸氫鹽會轉化成不溶的二氧化碲，而亞硒酸鹽則留在溶液中。
通過電解或與二氧化硫在硫酸中反應，可以把氧化物還原成碲單質。 | [
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52號元素 | 商業級碲通常以 200 篩目的粉末的形式銷售，但板狀、錠狀、棒狀或塊狀的碲也是可商購的。2000 年，碲的價格為每磅 14 美元。近年來，碲的價格因需求增加和有限的供應而上漲，使得 2006 年的碲價高達每磅 100 美元。 儘管期望改進的生產方法將使碲產量翻倍，美國能源部仍預計到了 2025 年，碲的供應將會短缺。
碲主要產於美國、秘魯、日本和加拿大。英國地質調查局給出了 2009 年的碲產量數據：美國 50 噸，秘魯 7 噸，日本 40 噸，加拿大 16 噸。
## 化合物
在元素週期表中，碲屬於氧族元素。碲化合物和對應的硒化合物類似。碲表現出氧化態 −2、+2、+4 和 + 6，其中 + 4 態最常見。
### 碲化物
還原金屬碲會產生碲化物和多碲化物 Ten2−。碲的 - 2 價態存在於和許多金屬形成的二元化合物中，例如碲化鋅 ZnTe，由碲和鋅直接加熱反應而成。ZnTe 和鹽酸反應，生成碲化氫（H
2Te），一種和其它氧族元素氫化物如 H
2O、H
2S 和 H
2Se 相比非常不穩定的同類物。
H
2Te 不穩定，但它的共軛鹼 [TeH]− 形成的鹽穩定。
### 鹵化物
碲的 + 2 氧化態存在於二鹵化物 TeCl
2、TeBr
2 和 TeI
2 中。它們都還沒得到純品，儘管它們已知在有機溶劑中會分解成四鹵化物，而相關的四鹵合碲 (II) 酸鹽已獲得表徵：
（X = Cl、Br、I）
這些離子都是平面正方形分子構型的。碲的多核陰離子也是已知的，例如深棕色的 Te
2I2−
6 和黑色的 Te
4I2−
14。
碲的氟化物有混合價態化合物 Te
2F
4 和 TeF
6。+6 氧化態的–OTeF
5 基團存在於許多化合物中，如 HOTeF
5、B(OTeF
5)
3、Xe(OTeF
5)
2、Te(OTeF
5)
4 和 Te(OTeF
5)
6。四角反稜柱形的陰離子 TeF2−
8 也是存在的。其它鹵素形成不了 + 6 氧化態，只能形成 + 4 氧化態的四鹵化物（TeCl
4、TeBr
4 和 TeI
4）和低鹵化物（Te
3Cl
2、Te
2Cl
2、Te
2Br
2、Te
2I 和兩種 TeI）。在 +4 氧化態中，鹵碲酸根是已知的，如 TeCl2−
6 和 Te
2Cl2−
10。含鹵碲陽離子也是已知的，包括存在於 TeI
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52號元素 | 6 的 TeI+
3。
### 含氧化合物
一氧化碲於 1883 年首次報導為黑色無定形固體，由 TeSO
3 在真空中熱分解形成，加熱歧化成碲單質和二氧化碲 TeO
2。然而，從那時起，固相一氧化碲的存在就受到懷疑和爭議，儘管它的蒸氣分子是已知的。這種黑色固體可能只是元素碲和二氧化碲的等摩爾混合物。
在空氣中加熱碲會產生藍色火焰，並形成二氧化碲。三氧化碲的一種結構 β-TeO
3 是由 Te(OH)
6 熱分解而成的。另外兩種結構 ——α- 相和 γ- 相併不是真正的氧化碲 (VI)，而是 Te4+
、OH−
和 O−
2 的混合物。 碲也有各種混合氧化物，如 Te
2O
5 和 Te
4O
9。
碲的氧化物和水合氧化物會產生一系列的酸，包括亞碲酸 (H
2TeO
3)、原碲酸 (Te(OH)
6) 和偏碲酸 ((H
2TeO
4)
_n_)。偏碲酸和原碲酸會分別形成含有 TeO2–
4 和 TeO6−
6 陰離子的碲酸鹽，而亞碲酸則形成含 TeO2−
3 陰離子的亞碲酸鹽。
### Zintl 陽離子
當碲用濃硫酸處理時，會得到碲的 Zintl 離子 Te2+
4 的紅色溶液。碲被 AsF
5 在液態 SO
2 中氧化，會產生正方形的 Te2+
4 和黃橙色、三角柱形的 Te4+
6：
其它碲的 Zintl 陽離子包括聚合物 Te2+
7，以及由兩個五元碲環組成、藍黑色的 Te2+
8。後者可以通過碲和六氯化鎢反應而成：
含有其它氧族元素的離子也是已知的，例如 Te
2Se2+
6（扭曲立方體結構）和 Te
2Se2+
8。它們都是由 AsF
5 或 SbF
5 氧化硒和碲的混合物而成的。
### 有機碲化合物
碲並不準備形成碲醇 —— 具有 - TeH 基團的化合物，為醇和硫醇的類似物。類似 H2Te，這些物種對損失氫氣不穩定。碲醚 (R–Te–R) 和碲代亞碸都比較穩定。
## 應用
碲的最大消費者是鐵、不鏽鋼、銅和鉛合金的冶金業。碲添加到鋼和銅中產生的合金會比其他合金更易加工。為了光譜學研究，碲被加入到鑄鐵中以促進冷卻，因為其中導電的游離石墨存在往往會干擾火花發射測試的結果。碲添加到鉛中可以提高強度和耐久性，並降低了硫酸的腐蝕作用。
### 多相催化
碲的氧化物是商業氧化催化劑的成分。含碲催化劑可用於氨氧化製備丙烯腈 (CH2=CH–C≡N) 的催化劑： | [
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52號元素 | 相關催化劑也用於製備 1,4 - 丁二醇：
### 小眾用途
* 用碲交聯的合成橡膠在某些方面顯示出優於硫化材料的機械和熱性能。
* 碲化合物是用於陶瓷器的特殊顏料。
* 硒化物和碲化物大大增加了廣泛用於電信玻璃光纖的玻璃的光學折射。
* 硒和碲的混合物與過氧化鋇一起用作電雷管的延遲粉中的氧化劑。
* 用中子轟擊碲是碘 - 131 最常用的製備方式。碘 - 131 可用於治療某些甲狀腺的病症，也是水力壓裂中的示蹤劑化合物。
### 半導體和電
由於其低電負性，碲可以形成多種帶隙較小的材料，可通過波長相對長的光。這一特性是光電導材料、太陽能電池和紅外探測器潛在應用的基礎。阻礙這些應用的主要問題是這些材料的穩定性和對環境影響的擔憂。
碲化鎘 (CdTe) 太陽能光伏展示了太陽能發電機的最高效率。
基於 (Cd,Zn)Te 的 X 射線探測器已被證明可行。
碲化汞鎘是一種對紅外線敏感的半導體材料。
### 有機碲化合物
有機碲化合物主要在研究中受到關注。人們已經檢查了多種用於有機金屬化學氣相沉積法生長 II-VI 半導體材料的前體。這些前體包括二甲基碲、二乙基碲、二異丙基碲、二烯丙基碲和甲基烯丙基碲。二異丙基碲 (DIPTe) 是通過有機金屬化學氣相沉積法低溫生長 CdHgTe 的首選前體。在這些過程中會使用最高純度的有機硒化合物和有機碲化合物，這些用於半導體工業的化合物是通過加合物純化製備的。
低氧化碲用於可重寫光碟的媒體層，包括可重複刻錄光碟（CD-RW）、可重寫數字視頻光碟（DVD-RW）和可重寫藍光光碟。
二氧化碲用於製造共聚焦顯微鏡的聲光調製器（AOTF 和 AOBS）。
碲也用於英特爾開發的相變化存儲器晶片。 碲化鉍 (Bi2Te3) 和碲化鉛都是熱電設備的工作元件材料。碲化鉛在遠紅外線探測器中有前景。
### 光陰極
碲出現在許多用於光電倍增管的光陰極中和用於驅動現代粒子加速器的高亮度光噴射器。主要是 Cs2Te 組成的 Cs-Te 光電陰極具有 3.5 eV 的光電發射閾值，並表現出高量子效率 (>10%) 和在惡劣真空環境中的高耐久性（可使用數月）。這使其成為用於驅動自由電子雷射器的光發無線電子槍的首選。在此應用中，它通常用 267 nm 的波長驅動，這是常用鈦藍寶石雷射器的三次諧波。人們已經使用其他鹼金屬（例如銣、鉀和鈉）製造了更多含碲的光電陰極，但它們沒有像 Cs-Te 光電陰極那樣受歡迎。
## 生物作用 | [
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52號元素 | 碲沒有已知的生物作用，儘管真菌可以將它替代硫和硒摻入胺基酸中，例如碲半胱氨酸和碲甲硫氨酸。生物體對碲化合物表現出高度可變的耐受性。很多細菌，例如 _Pseudomonas aeruginosa_ 會吸收亞碲酸鹽並將其還原為元素碲，而元素碲會積累並導致細胞顯著變暗。在酵母中，這種還原是由硫酸鹽途徑介導的。碲的積累似乎是其毒性作用的主要部分。許多生物也會部分代謝碲以形成二甲基碲，儘管某些物種形成的是二甲基二碲。在溫泉中有濃度非常低的二甲基碲。
亞碲酸鹽瓊脂用於鑑定棒狀桿菌屬的成員，例如 _Corynebacterium diphtheriae_—— 導致白喉的病原體。
## 危害
碲和碲化合物被認為有輕度毒性，需要小心處理，儘管急性碲中毒很少見。碲中毒非常難以治療，因為在治療金屬中毒時使用的許多螯合劑都會增加碲的毒性。碲沒有致癌的報導。
人類暴露含碲低至 0.01mg/m3 或更少的空氣中會散發出類似大蒜的惡臭，稱為「碲口氣」。
這是由於身體將碲從任何氧化態轉化為二甲基碲 (CH3)2Te 導致的。二甲基碲是一種揮發性的化合物，具有刺鼻的大蒜味。儘管碲的代謝途徑未知，但通常認為它類似於研究更廣泛的硒，因為這兩種元素的最終甲基化代謝產物相似。
人們可以通過吸入、攝入、皮膚接觸和眼睛接觸在工作場所接觸碲。職業安全與健康管理局 (OSHA) 將工作場所中的碲暴露量限制（允許暴露極限）為八小時工作日裡 0.1 mg/m3。美國國家職業安全衛生研究所 (NIOSH) 將八小時工作日的推薦暴露限值 (REL) 設為 0.1 mg/m3。在 25 mg/m3 的濃度下，碲就會立即危及生命或健康。
## 參見
* 氧族元素
## 參考文獻
## 外部連結
* 元素碲在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 碲（英文）
* 元素碲在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素碲在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 碲（英文） | [
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電子構型 | **電子組態**（英語：electron configuration），或稱**電子排序**、**電子構型**，指電子在原子、分子或其他物理結構中的原子軌域或分子軌域上的排序及排列形態。
與其他基本粒子相同，電子遵從量子物理學而不是經典物理學，因此具有波粒二象性。而且，根據量子物理學中的哥本哈根詮釋，任一特定電子在被偵測到前，它的確實位置是不確定的（軌域及軌跡放到一旁不計）。在空間中，該測量將會檢測的電子在某一特定點的概率，和在這一點上的波函數的絕對值的平方成正比。
電子能夠由發射或吸收一個量子的能量從一個能級躍遷到另一個能級，其能量傳輸的形式為吸收或釋放光子。由於包立不相容原理，沒有兩個以上的電子可以存在於某個原子軌域（軌域不等於電子層）；因而一個電子只可跨越到另有空缺位置的軌域。
原子的電子構型可以反映出元素週期表中的元素的結構。這一概念有時用於也描述約束原子的多個化學鍵。在塊體材料的研究中這一理念可以說明雷射器和半導體的奇特性能。
## 原子軌域的種類
根據薛丁格方程，原子軌域的種類取決於主量子數（_n_）、角量子數（_l_）和磁量子數（_ml_）。其中，主量子數就相當於電子層，角量子數相當於亞層，而磁量子數決定了原子軌域的伸展方向。另外，每個原子軌域里都可以填充兩個電子，所以對於電子，需要再加一個自旋磁量子數（_ms_），一共**四個量子數**。
_n_ 可以取任意正整數。在 _n_ 取一定值時，_l_ 可以取小於 _n_ 的自然數，_ml_ 可以取 -_l_ 到 +_l_。不論什麼軌域，_ms_ 都只能取 ±1/2，兩個電子自旋相反。因此，s 軌域（_l_=0）上只能填充 2 個電子，p 軌域（_l_=1）上能填充 6 個，一個軌域填充的電子數為 4_l_+2。
具有角量子數 0、1、2、3 的軌域分別叫做 s 軌域、p 軌域、d 軌域、f 軌域。之後的軌域名稱，按字母順序排列，如角量子數 _l_=4 時叫 g 軌域。
## 組態規則
電子的組態遵循以下規則：
* 遞建原理：原子會選擇能量最低的構建方式。一般而言，新填入的電子都填在能量最低的空軌道上。
* 洪特規則：電子盡可能的佔據不同軌道，且自旋方向相同。整個原子的能量才處於最低。
* 包立不相容原理：在同一體系中，不存在四個量子數完全相同的電子。
* 能級交錯：電子層數較大的某些軌域的能量反低於電子層數較小的某些軌域能量的現象。
有些原子的組態不完全遵守上面的規則，如： | [
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] |
電子構型 | * Cr：[Ar]3d54s1
* Cu：[Ar]3d104s1
這是因為同一亞層中，**全充滿、半充滿、全空**的狀態是最穩定的。這種方式的整體能量比 3d44s2 要低，因為所有亞層均處於穩定狀態。
### 組態示例
以鉻為例：
1. 鉻原子核外有 24 個電子，可以填滿 1s 至 4s 所有的軌道，還剩餘 4 個填入 3d 軌道：
* 1s22s22p63s23p64s23d4
2. 由於半充滿更穩定，組態發生變化：
* 1s22s22p63s23p64s13d5
3. 除了 6 個價電子之外，其餘的電子一般不發生化學反應，於是簡寫為：
* [Ar]4s13d5
4. 這裏，具有氬的電子構型的那 18 個電子稱為「原子實」。一般把主量子數小的寫在前面：
* [Ar]3d54s1
## 電子構型對性質的影響
電子的組態情況，即「電子構型」，是元素性質的決定性因素。為了達到全充滿、半充滿、全空的穩定狀態，不同的原子選擇不同的方式。具有同樣價電子構型的原子，理論上得或失電子的趨勢是相同的，這就是同一族元素性質相近的原因；同一族元素中，由於週期越高，價電子的能量就越高，就越容易失去。
元素週期表中的區塊是根據價電子構型的顯著區別劃分的。不同區的元素性質差別同樣顯著：如 s 區元素只能形成簡單的離子，而 d 區的過渡金屬可以形成錯合物。
## 參見
* 玻恩 - 奧本海默近似
* 基態原子電子組態列表
* 元素的電子組態列表
* HOMO/LUMO
* 族 (化學)
* 擴展元素週期表
* 球諧函數
* 不成對電子
* 八隅體規則
* 價電子
## 參考資料
## 外部連結
* （英文）What does an atom look like? Configuration in 3D （頁面存檔備份，存於網際網路檔案館） | [
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Hafnium | **鉿**（拼音：hā，注音：ㄏㄚ，音同「哈」；英語：**Hafnium**），是一種化學元素，其化學符號為 **Hf**，原子序數為 72，原子量為 178.49 u。鉿為 ⅣB 族元素，是帶光澤的銀灰色的過渡金屬，熔點 2233 °C，沸點 4602 °C，密度 13.31 克 / 立方厘米。緻密的金屬鉿性質不活潑，表面形成常溫穩定的氧化物覆蓋層，但粉末狀的鉿容易在空氣中自燃。鉿吸收氫氣的能力很強，最高可形成 HfH₂.₁。高溫下，鉿能與氮發生反應。由於鑭系收縮的影響，鉿的原子半徑幾乎和鋯相等，因此二者性質極為相似，很難分離，主要差異之一是鉿的密度為鋯的兩倍。鉿不與稀鹽酸、稀硫酸和強鹼溶液作用，但易溶於氫氟酸和氟王水，鉿會與熱王水緩慢作用產生氯氧化鉿。鉿的氧化態是 + 2、+3、+4，其中 + 4 價化合物最穩定。
## 發現
1923 年由荷蘭科學家科斯特（D.Coster）和匈牙利科學家喬治・德海韋西（George de Hevesy）由 X 射線光譜中發現。
### 背景故事
在莫斯萊對元素的 X 射線研究後，確定在鋇和鉭之間應當有 16 個元素存在。這時除了 61 號元素和 72 號元素之外，其餘 14 個元素都已經被發現，而且它們都屬於今天所屬的鑭系，也就是當時認為的稀土元素。
那麼 72 號元素應當歸屬於稀土元素？還是和鈦、鋯同屬一族？當時多數化學家主張屬於前者。法國化學家烏爾班 1911 年從鐿的氧化物中分離出鑥後，又分離出一個新的元素。在 1914 年烏爾班去英國將該元素的樣品送請莫斯萊進行 X 射線光譜檢測，得到的結論是否定的，沒有發現相當於 72 號元素的譜線。烏爾班堅信新元素的存在，認為出現這樣的結果是因為新研製的機器靈敏度不夠，無法檢測到樣品中痕量新元素的存在。他回到巴黎後與光譜科學家達維利埃共同用第一次世界大戰後改進的 X 射線譜儀進行檢測。1922 年 5 月，他們宣布測到兩條 X 譜線，因此斷定新元素是存在的。1913 年，丹麥物理學家玻爾提出了原子結構的量子論。接著在 1921-1922 年之間又提出原子核外電子排布理論。玻爾認為根據他的理論，72 號元素不屬於稀土元素，而和鋯一樣是同族元素。也就是說，72 號元素不會從稀土元素礦物中出現，而應當從含鋯和鈦的礦石中去尋找。 | [
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Hafnium | 根據玻爾的推論，在 1922 年，匈牙利化學家德梅韋西和荷蘭物理學家科斯特對多種含鋯礦石進行了 X 射線光譜分析，果真發現了這一元素。他們為了紀念該元素的發現所在地 —— 丹麥的首都哥本哈根，以哥本哈根的拉丁語名稱 Hafnia 命名它為 hafnium，元素符號定為 Hf。後來德梅韋西製得了幾毫克純的鉿的樣品。
## 來源
它存在於大多數鋯礦中，地殼中含量很少。常與鋯共存，無單獨礦石。
## 生產
從含鈦礦石鈦鐵礦和金紅石的重礦物砂礦石的礦床中可以開採出大量的鋯，因此也會產生大部分的鉿。鋯是一種良好的核燃料棒包覆金屬，它的中子捕獲截面非常小，且高溫下化學穩定性良好。然而，由於鉿可以吸收中子，鋯中的鉿雜質對核反應爐有危害，在核電使用中有必要將鋯與鉿完全分離。無鉿鋯的生產會將鋯和鉿分離，這也是鉿的主要來源。
鉿和鋯的化學性質極其相似，故難以分離。最初使用的方法有利用氟代酸銨溶解度不同的分級結晶法，以及利用氯化物沸點不同的分級蒸餾法，但並未工業化。20 世紀 40 年代後，核反應爐對無鉿鋯的需求推進了分離工藝的研發，如使用多種溶劑的液–液萃取法，現在仍然用於鉿的生產。
約半數金屬鉿是提純鋯的副產物。一些分離提純方法的產物是四氯化鉿，被鈉或鎂還原可製備金屬鉿（克羅爾法）。
: : HfCl4 + 2 Mg —1100 °C→ 2 MgCl2 + Hf
Arkel 和 de Boer 利用了化學傳遞反應開發出了進一步提純鉿的方法：在密閉容器中，鉿與碘在 500 °C 下反應，形成四碘化鉿；再在 1700 °C 的鎢絲上，發生逆反應，分解得到碘和鉿。鉿在鎢絲上沉積為固體，而碘可以繼續與剩餘的鉿反應，使轉化趨於完全。
: : Hf + 2 I2 —500 °C→ HfI4
: HfI4 —1700 °C→ Hf + 2 I2
## 性質
晶體結構有兩種：在 1300℃以下時，為六方密堆積（α 型）；在 1300℃以上時，為體心立方（β 型）。具有塑性的金屬，當有雜質存在時質變硬而脆。空氣中穩定，灼燒時僅在表面上發暗。細絲可用火柴的火焰點燃。性質似鋯。不和水、稀酸或強鹼作用，但易溶解在王水和氫氟酸中。
## 化合物
在大部分鉿的化合物中，鉿呈現 + 4 價，在溶液中為無色的。二氧化鉿、四氯化鉿和四碘化鉿是常見的化合物。鉿鹽在水中會發生水解，但傾向比相應的鋯鹽要小。 | [
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Hafnium | 鉿的化合物 Ta4HfC5 是目前已知物質中熔點最高的，為 4,263 K（3,990 °C）；儘管在 2015 年有模擬計算預測一種 Hf-C-N (碳氮化鉿) 材料的熔點比其高 200 K，但尚未經實驗證實。
鉿可以形成各種各樣的配合物，如氟鉿酸鹽有 HfF2−
6、HfF3−
7、HfF4−
8 等幾種，氯、溴、碘代的鉿酸鹽有過報導。乙醯丙酮鉿、乙醇鉿等有機鹽也是已知的。
## 用途
由於它容易發射電子而很有用處，如用作白熾燈的燈絲。鉿和鎢或鉬的合金用作高壓放電管的電極用作Ｘ射線管的陰極。由於它對中子有較好的吸收能力，抗腐蝕性能好，強度高，因此常用來做核反應爐的控制棒，以減慢核子連鎖反應的速率，同時抑制原子反應的 "火焰"。
## 參考文獻
## 外部連結
* 元素鉿在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 鉿（英文）
* 元素鉿在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素鉿在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 鉿（英文） | [
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鈥 | **鈥**（拼音：huǒ，注音：ㄏㄨㄛˇ；英語：**Holmium**；舊譯**錵**），是一種化學元素，其化學符號為 **Ho**，原子序數為 67，原子量為 164.93033 u，屬於鑭系元素，也是稀土元素之一。鈥在常溫常壓下是固體。 1878 年為索里特（J.L.Soret）發現；1879 年又被克利夫（P.T.Cleve）發現。第一電離能 6.02 電子伏特。有金屬光澤。與水能緩慢起作用，溶於稀酸。鹽類是黃色。氧化物 Ho2O3 為淡綠色。溶於礦物酸而產生三價離子黃色鹽。由氟化鈥 HoF3·2H2O 用鈣還原而製得。它和鏑一樣，是一種能夠吸收核分裂所產生的中子的金屬。在核子反應爐中，一方面不斷燃燒，一方面控制連鎖反應的速度。
## 性質
### 物理性質
鈥是一種相對柔軟且具有延展性的元素，在標準情況下，在乾燥空氣中具有相當的耐腐蝕性和穩定性。但是，在較高溫度的濕氣下，鈥會迅速氧化，形成黃色的氧化鈥。純鈥具有金屬般明亮的銀色光澤。
氧化鈥根據光線的不同，顏色有相當大的變化。在陽光下，它是黃棕色的。在三色光下，它是火紅色的，幾乎不能和氧化鉺區別。這些顏色變化與鈥的銳利吸收帶有關，可用作磷光體。
鈥是所有天然的化學元素中，磁矩最高的， (10.6 µ
B) 並具有其他不尋常的磁性。當和釔混合時，會形成有極強磁性的混合物。鈥在標準情況下是順磁性的，但在 19 K 的溫度以下是鐵磁性的。
### 化學性質
鈥可以在空氣中燃燒，發出耀眼白光，產生氧化鈥：
: 4 Ho + 3 O2 → 2 Ho2O3
鈥能與水反應，與冷水反應較緩慢，而與熱水反應較快速：
: 2 Ho (s) + 6 H2O (l) → 2 Ho(OH)3 (aq) + 3 H2 (g)
鈥也能與鹵素反應：
: 2 Ho (s) + 3 F2 (g) → 2 HoF3 (s) [粉紅色]
: 2 Ho (s) + 3 Cl2 (g) → 2 HoCl3 (s) [黃色]
: 2 Ho (s) + 3 Br2 (g) → 2 HoBr3 (s) [黃色]
: 2 Ho (s) + 3 I2 (g) → 2 HoI3 (s) [黃色]
鈥較容易溶解於稀硫酸中，生成 Ho3+ 離子，以 [Ho (OH2)9]3+ 配合物出現：
: 2 Ho (s) + 3 H2SO4 (aq) → 2 Ho3+ (aq) + 3 SO2− | [
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鈥 | 4 (aq) + 3 H2 (g)
鈥最常見的氧化態是 + 3。鈥溶液中的 Ho3+ 被九個水分子環繞。鈥能溶解於酸性溶液。
### 同位素
鈥共有 35 個同位素，其中只有 165Ho 是穩定的。其餘的皆為人工合成的放射性同位素，其中最穩定的是鈥 - 163，半衰期 4570 年。其它基態的鈥同位素的半衰期都不超過 2 天，大部分少於 3 小時。不過，同核異構體 166m1Ho 的半衰期很長，約為 1200 年，這是由於其高自旋而成的。
## 歷史
鈥是由 Jacques-Louis Soret 和馬克・德拉方丹在 1878 年發現的。他們注意到了當時未知的元素（他們稱之為元素 X）異常的光譜吸收帶。
Per Teodor Cleve 在研究鉺土（氧化鉺）時獨立發現了該元素，並且是第一個將其分離出來的人。
使用 Carl Gustaf Mosander 開發的方法，Cleve 首先從 erbia 中去除了所有當時已知的雜質。他得到了兩種新的物質，一個是棕色的，另一個是綠色的。他將棕色物質命名為 holmia（以克利夫家鄉斯德哥爾摩的拉丁名稱命名）和綠色物質 thulia。 後來發現 holmia 就是氧化鈥，而 thulia 就是氧化銩。
在亨利・莫塞萊關於原子序數的經典論文 中，鈥的原子序為 66。顯然，他研究的鈥樣本非常不純，主要是由旁邊（未被列入）的鏑影響的。他會看到這兩種元素的 X 射線發射線，但他假設這些都是鈥，而不是雜質鏑。
## 來源
就像其他的稀土金屬一樣，鈥不會以單質形式出現。鈥一般存在於矽鈹釔礦、獨居石等稀土礦物中。尚未發現以鈥為主的礦物。鈥的主要產地在中國、美國、巴西、印度、斯里蘭卡和澳洲，儲量估計為 400,000 噸。
鈥組成了地殼的 1.4 ppm（質量計），為第 56 常見的元素。鈥組成了土壤的 1 ppm，海水的 0.4 ppt，幾乎不存在於地球大氣中。鈥是鑭系元素中相對罕見的。依質量計，它組成了宇宙的 500 ppt。
鈥是通過離子交換從獨居石（含 0.05% 鈥）中提取的，但仍難以與其他稀土分離。它是通過用金屬鈣還原其無水氯化物或氟化物而分離出來的。 鈥在稀土金屬中相對便宜，價格為 1000 USD/kg.
## 應用
鈥在任何元素中具有最高的磁矩，可用於產生最強的人工磁場。由於它可以吸收核分裂產生的中子，它也被用作可燃毒物來調節核反應爐。 | [
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鈥 | 摻鈥的釔鐵石榴石 (YIG) 和氟化釔鋰 (YLF) 應用於固態雷射器中，而摻鈥的釔鐵石榴石也用於光學隔離器和微波器材（例如 YIG 球體）。鈥雷射器的發射波長為 2.1 微米。 它們用於醫療、牙科和光纖。
鈥是用於立方氧化鋯和玻璃的著色劑之一，可提供黃色或紅色著色。 含有氧化鈥或其溶液（溶劑通常是高氯酸）的玻璃在 200–900 nm 的光譜範圍內有尖銳的光吸收峰。因此它們被用作單色器的校準標準 ，可以商購。
半衰期較長的放射性同位素 166m1Ho 用於校準伽馬射線光譜儀。
在 2017 年 3 月，IBM 宣布他們已經開發出一種技術，可以在氧化鎂上的單個鈥原子上存儲一位元數據。
憑藉足夠的量子和經典控制技術，鈥可能是製造量子計算機的理想物質。
## 生物作用
鈥在人體中沒有用處，但鈥鹽能夠促進新陳代謝。人體通常每年消耗大約一毫克鈥。植物不容易從土壤中吸收鈥。一些蔬菜的鈥含量已經過測量，達到 100 ppt。
### 毒性
如果吸入、食用或注射大量的鈥鹽會對人體造成嚴重損害。鈥的長期影響不明。鈥的急性毒性較低。
## 參見
* Category: 鈥化合物
## 參考文獻
## 外部連結
* 元素鈥在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 鈥（英文）
* 元素鈥在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素鈥在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 鈥（英文） | [
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7440-64-4 | **鐿**（拼音：yì，注音：丨ˋ；英語：**Ytterbium**），是一種化學元素，其化學符號為 **Yb**，原子序數為 70，原子量為 173.054 u。鐿屬於稀土金屬，是倒數第二個鑭系元素，也是第六週期中位於 f 區塊的最後一個元素。由於位於 f 區塊中，所以鐿的 + 2 氧化態相對穩定。但和其他鑭系元素一樣，其最常見的氧化態為 + 3，這包括鐿的氧化物、鹵化物等化合物。在水溶液中，可溶鐿化合物會和 9 個水分子形成配合物，這與其他較後的鑭系元素相似。鐿具有閉殼層電子排布，所以它的密度、熔點和沸點比鄰近元素低得多，鐿的沸點是所有鑭系元素中最低的。
1878 年，瑞士化學家讓 - 夏爾・加利薩・德馬里尼亞從一種稱為「Erbia」的稀土物質中分離出新的成份，並以礦物的發現地瑞典伊特比村將該成份命名為「Ytterbia」。他猜測 Ytterbia 是某新元素的化合物，因此又把該元素命名為「Ytterbium」，即鐿元素。1907 年，喬治・於爾班、卡爾・奧爾・馮・威爾斯巴赫和查爾斯・詹姆士分別從德馬里尼亞的鐿樣本中提取出了又一新元素，即鑥。經過不少的討論之後，科學界決定保留原名鐿，並捨棄了威爾斯巴赫所建議的「Aldebaranium」。1953 年，科學家才製得純度較高的鐿金屬樣本。今天鐿被用在不鏽鋼和雷射活性媒質中作摻雜劑，以及用作伽馬射線源。
自然形成的鐿由 7 種穩定同位素組成，其總豐度為百萬分之 3。鐿存在於獨居石、黑稀金礦和磷釔礦中，在中國、美國、巴西和印度開採。它一般和其他稀土元素一同出現，且含量非常低。由於分離過程的困難，鐿並沒有太多的商業用途。鐿可以作釔鋁石榴石雷射的摻雜劑，三氯化鐿和二碘化鐿也可以做各種有機合成反應的試劑。
## 性質
### 物理性質
鐿金屬質軟、可延展，在純態時有明亮的銀色金屬光澤。
鐿金屬擁有三種同素異形體，分別以希臘字母 α、β 和 γ 表示。相態的轉變溫度分別在−13℃和 795℃，但確切溫度取決於環境壓力及受到的應力。室溫下鐿處於 β 型，具有面心立方晶體結構；高溫下的 γ 型具有體心立方結構；低溫下穩定的 α 型則具有六方晶系結構。β 型的電導率與其他金屬相近，但在 16,000 個大氣壓（1.6 GPa）下會呈現半導體性質。其電阻率在加壓至 39,000 個大氣壓（3.9 GPa）時會增加十倍，但到 40,000 大氣壓（4.0 GPa）時卻會將至室溫電阻率的 10% 左右。 | [
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7440-64-4 | 和低溫下呈反鐵磁性和 / 或鐵磁性的其他稀土金屬不同，鐿在 1.0 K 以上具有順磁性。α 型則有抗磁性。鐿的熔點在 824 °C，沸點在 1196 °C，因此是所有金屬中液態溫度區間最小的。
其他的鑭系元素擁有六方密堆積晶體結構，但鐿卻會結晶成面心立方結構。所以它的密度（6.973 g/cm3）明顯比一些鄰近元素低，如銩（9.32 g/cm3）和鑥（9.841 g/cm3）等。相對這兩種元素，鐿的熔點和沸點也同樣低許多。這是因為其電子排布含有一個閉殼層（[氙] 4f14 6s2），所以只有兩顆 6s 電子可以參與金屬鍵，而其他的鑭系元素則有三顆這樣的電子。
### 化學性質
鐿金屬在空氣中會緩慢失去光澤。鐿細粉在空氣和氧氣中會迅速氧化。如果細粉和聚四氟乙烯或六氯乙烷混合，會燃燒並產生翠綠色火焰。鐿會和氫反應，形成各種非整比氫化物。鐿在水中會緩慢溶解，在酸中迅速溶解，並產生氫氣。
鐿的電正性很高，會和冷水緩慢反應、和熱水快速反應，形成氫氧化鐿：
: 2 Yb (s) + 6 H2O (l) → 2 Yb(OH)3 (aq) + 3 H2 (g)
它也會和所有鹵素反應：
: 2 Yb (s) + 3 F2 (g) → 2 YbF3 (s)（白色）
: 2 Yb (s) + 3 Cl2 (g) → 2 YbCl3 (s)（白色）
: 2 Yb (s) + 3 Br2 (g) → 2 YbBr3 (s)（白色）
: 2 Yb (s) + 3 I2 (g) → 2 YbI3 (s)（白色）
鐿 (III) 離子能吸收近紅外線波長範圍的光線，但不吸收可見光，所以氧化鐿礦物（Yb2O3）呈白色，鐿鹽也是無色的。在稀硫酸中，鐿迅速溶解形成含有無色 Yb (III) 離子的溶液。這些離子與九個水分子鍵合成配合物：
: 2 Yb (s) + 3 H2SO4 (aq) → 2 [Yb(H2O)9]3+ (aq) + 3 SO2−
4 (aq) + 3 H2 (g)
### 二價和三價鐿 | [
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7440-64-4 | 鐿一般呈三價氧化態，但它亦可以形成二價化合物。這種特性在幾乎只形成三價化合物的鑭系元素中較為罕見。二價態的價電子排布為 4f14，因為填滿的 f 殼層能提高穩定性。黃綠色的鐿 (II) 離子是一種強還原劑，會在水中分解後釋放氫氣，所以只有無色的鐿 (III) 離子才能出現在水溶液中。釤和銩的 + 2 態有這樣的化學行為，但銪 (II) 離子在水中是穩定的。鐿金屬的化學性質與銪金屬和鹼土金屬相似，它會在氨中溶解，形成藍色的電子鹽。
### 同位素
自然界中的鐿由 7 種穩定同位素組成：168Yb、170Yb 至 174Yb 及 176Yb，其中比例最高的為 174Yb，其豐度為 31.8%。已被觀測的放射性同位素共有 27 種，其中最穩定的有 169Yb（半衰期為 32.0 天）、175Yb（4.18 天）和 166Yb（56.7 小時）。剩餘放射性同位素的半衰期都在 2 小時以內，大部份甚至短於 20 分鐘。鐿共有 12 種亞穩態（同核異構體），最穩定的是 169mYb（半衰期為 46 秒）。
鐿同位素的原子量在 147.9674 u（原子質量單位）和 180.9562 u 之間。比 174Yb 輕的同位素主要以電子捕獲的方式進行衰變，形成各種銩同位素；而更重的則主要進行 β 衰變，並形成鑥的同位素。
## 存量
鐿和其他稀土元素一同出現在一些稀有礦物之中。常見的商業礦源是含有 0.03% 鐿元素的獨居石。其他含有鐿的礦物還包括黑稀金礦和磷釔礦等。主要的開採地點有中國、美國、巴西、印度、斯裡蘭卡和澳洲，總礦藏估計有一百萬噸。由於商業用途不多，所以其全球年產量只有 50 噸。鐿須從其他稀土元素中分離開來。這一過程非常困難，但 20 世紀中到晚期所發展的離子交換法和溶劑萃取法已將提取過程大大簡化。擁有偶數原子序的鐿在地殼中的含量約為 3 mg/kg，比其相鄰的元素（銩和鑥）高很多，這符合奧多 - 哈爾金斯規則。
## 生產
鐿的性質和其他鑭系元素非常相近，所以分離過程較為困難。首先，獨居石、磷釔礦等礦物須在各種酸中溶解，比如用硫酸。離子交換技術可以把鐿選擇性地分離出來。所得溶液再加入樹脂，然後在螯合劑中溶解，這時各種鑭系元素鍵合方式的不同使相應的化合物各自分離開來。 | [
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7440-64-4 | 除了離子交換法，鐿金屬的製備還可以經鈉汞齊還原而得。這種方法先在酸性稀土元素緩衝液中加入熔融鈉汞合金，這會還原並溶解 Yb3+。合金經氫氯酸處理，鐿金屬再以草酸鹽的形態萃取出來，然後加熱轉化為氧化物。在高真空中把氧化鐿與鑭、鋁、鈰或鋯一齊加熱，可以將其還原為鐿金屬。要進一步純化這一金屬，須將其昇華，並在冷凝板上採集。
## 化合物
鐿的化學性質和其他鑭系元素相似。大部份鐿化合物都處於 + 3 氧化態，而具有 + 3 態的鐿鹽一般都幾乎無色。與銪、釤和銩一樣，氫和鋅粉末可以還原鐿的三鹵化物。二價鐿只出現在固態化合物中，其反應特性和鹼土金屬化合物類似。例如，一氧化鐿的分子結構和氧化鈣相同。
### 鹵化物
鐿可以和氟、氯、溴及碘形成二鹵化物和三鹵化物。二鹵化物在常溫下會受三鹵化物的氧化，在高溫下則會歧化形成三鹵化物和鐿金屬：
: 3 YbX2 → 2 YbX3 + Yb（X = F、Cl、Br、I）
鐿的一些鹵化物被用作有機合成反應的試劑。例如，三氯化鐿（YbCl3）是一種路易斯酸，也是羥醛反應和狄爾斯–阿爾德反應的催化劑。二碘化鐿（YbI2）和二碘化釤一樣可以用作偶聯反應的還原劑。三氟化鐿（YbF3）會不斷釋放氟化物，所以是一種惰性無毒的牙齒填充材料。它還是一種優良的 X 光造影劑。
### 氧化物
鐿可以和氧反應，形成氧化鐿（Yb2O3）。氧化鐿可以經鐿金屬還原後產生一氧化鐿，後者的結晶結構和氯化鈉相同。
## 歷史
瑞士化學家讓 - 夏爾・加利薩・德馬里尼亞（Jean Charles Galissard de Marignac）於 1878 年發現了鐿元素。他在檢驗矽鈹釔礦時，在稱為「Erbia」的氧化鉺礦物中發現了新的成份。他以礦物來源地瑞典的伊特比村（Ytterby）將該物質命名為「Ytterbia」。他懷疑 Ytterbia 是某種新元素的化合物，並把這種元素稱為「Ytterbium」，漢譯為鐿。 | [
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] |
7440-64-4 | 1907 年，法國化學家喬治・於爾班（Georges Urbain）發現德馬里尼亞的 Ytterbia 物質實際上由兩種不同的成份組成：Neoytterbia 和 Lutecia。Neoytterbia（意為「新 Ytterbia」）也就是今天的鐿元素，而 Lutecia 就成了鑥元素（Lutetium）。奧地利化學家卡爾・奧爾・馮・威爾斯巴赫（Carl Auer von Welsbach）在同個時期也分離出這兩種物質，但他卻將它們命名為「Aldebaranium」和「Cassiopeium」；美國化學家查爾斯・詹姆士（Charles James）也同時獨立分離出這些新元素。於爾班和威爾斯巴赫互相指責對方在看過自己的研究結果後才發表論文。當時審理新元素命名的是由弗蘭克・威格爾斯沃斯・克拉克（Frank Wigglesworth Clarke）、威廉・奧斯特瓦爾德和喬治・於爾班所組成的國際原子量委員會。委員會以於爾班最早從德馬里尼亞的樣本中分離出鑥元素作為原因，在 1909 年決定採用於爾班的命名方案，從而解決了爭議。之後，Neoytterbium 一名又改回現名 Ytterbium。
1953 年，科學家利用發展較成熟的離子交換過程，終於製得純鐿金屬，並首次對鐿的化學和物理性質進行準確的測量。在 1953 至 1998 年間，鐿價格穩定維持在每公斤 1,000 美元左右。
## 應用
### 伽馬射線源
在核反應爐中對鐿進行照射所促發的中子活化會產生半衰期為 32 天的 169Yb 和半衰期為 4.2 天的 175Yb 同位素。169Yb 被用作可攜帶 X 光機的輻射源。和 X 光一樣，伽馬射線可以穿透軟組織，但會被骨骼等密度較高物質所阻擋。所以少量的 169Yb 樣本發射伽馬射線，和小型 X 光機有相同的功用，能對細小的物體做放射性成像。實驗顯示，用 169Yb 輻射源拍出的照片約等於 250 至 350 keV 能量 X 光之成像。169Yb 能應用在核醫學中。
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7440-64-4 | 利用頻率較高的可見光所製成的原子鐘可以比利用微波的銫原子鐘更加準確。德國聯邦物理科技機構（PTB）正在研發這種原子鐘。其中一種極為精確的模型使用離子阱束縛單個鐿離子，其精確至小數點後 17 位數。美國國家標準技術研究所所研發的原子鐘用到 1 萬個冷卻至 10 微開爾文的稀土原子。這些原子被束縛在一個由雷射組成的扁平圓形井狀光學晶格當中。另一條雷射束每秒「擺動」518 兆（萬億）次，並激發原子在兩個能級間轉換。原子數量越大，鐘的精度就越高。該原子鐘的擺動偏差小於 2×1018，約比先前記錄更精確十倍。就算鐿原子鐘運行時長為宇宙年齡，其誤差仍小於一秒。
### 摻鐿不鏽鋼
鐿還可以作為摻雜劑，提高不鏽鋼的晶粒細化、強度等機械屬性。一些鐿合金被用於牙醫學上，但應用並不廣泛。
### 摻鐿雷射活性媒質
三價鐿離子可以做雷射活性媒質的摻雜劑，特別用於固態雷射器和雙包層光纖雷射器中。鐿雷射器效率高，壽命長，且能夠產生很短的脈衝。把鐿混入製造雷射器所用的材料是一道較簡單的工序。鐿雷射器的輻射頻帶一般在 1.06 至 1.12 µm，並在 900 nm 至 1 µm 波長抽運，具體數值取決於基質材料和實際用途。鐿的量子虧損很小，所以可做高效率雷射器的摻雜劑，並放大雷射功率。
摻鐿物質的激發能態不複雜，可以使用有效截面概念來描述。對於大部份摻鐿雷射媒質，McCumber 關係成立，但這一關係能如何應用在摻鐿複合材料上，仍是個討論中的議題。
通常鐿的使用濃度較低。在高濃度情況下，摻鐿物質會呈現光暗化現象（玻璃纖維），甚至轉為發出寬頻帶光（晶體及陶瓷），從而降低了雷射功率。這種現象可能和過熱以及高濃度鐿離子的電荷補償情況有關。
### 其他
鐿金屬在高應力下會增加電阻率，因此可用於製造應力計，以監測地震和爆炸所引起的地面形變。
鐿有潛力代替鎂作為紅外線熱誘餌彈內的高密度火藥載荷。由於氧化鐿在紅外線範圍的發射率比氧化鋁高得多，所以鐿基載荷的輻射強度可以比一般的鎂 / 聚四氟乙烯 / 氟橡膠（MTV）載荷高很多。
## 安全 | [
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] |
7440-64-4 | 雖然鐿的化學性質較為穩定，但它一般仍須存放在惰性環境下的密封容器中，例如氮氣乾燥箱，以保護金屬不受空氣和濕氣的侵蝕。所有鐿化合物一般認為都是劇毒，但一些初步研究卻指出其危險性實際上很低。這些化合物可以對人的眼部和皮膚造成刺激，並有可能造成畸胎。鐿金屬粉末可以在空氣中自燃，所產生的煙氣也具有毒性。鐿所產生的火不能用水澆熄，而只能使用 D 級滅火器。
## 參考資料
## 延伸閱讀
* _Guide to the Elements – Revised Edition_, Albert Stwertka, (Oxford University Press; 1998) ISBN 978-0-19-508083-4
## 外部連結
* 元素鐿在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 鐿（英文）
* 元素鐿在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素鐿在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 鐿（英文）
* It's Elemental – Ytterbium （頁面存檔備份，存於網際網路檔案館） | [
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7429-92-7 | **鑀**（英語：**Einsteinium**；中國大陸譯為**锿**、港澳譯為**鎄**【拼音：āi，注音：ㄞ】，台灣譯為**鑀** /**𰾭**【拼音：ài，注音：ㄞˋ】；舊譯**釾**），是一種人工合成的化學元素，其化學符號為 **Es**，原子序數為 99。鑀屬於錒系元素，是第七個超鈾元素，具有高度的放射性。
鑀是在 1952 年第一次氫彈爆炸的殘餘物中發現的，並以物理學家阿爾伯特・愛因斯坦命名。其最常見的同位素為鑀 - 253（半衰期為 20.47 天），是通過鉲 - 253 的衰變而人工製造的，每年在高能核反應爐中的產量約為 1 毫克。合成之後，鑀 - 253 要從其他錒系元素及其衰變產物中分離出來，這是個複雜的過程。其他的鑀同位素則在各個實驗室中以較輕元素的離子撞擊錒系元素而合成，但產量少得多。由於鑀的產量少，且最容易生產的鑀 - 253 半衰期又較短，目前鑀在基礎科學研究之外幾乎沒有任何實際應用。鑀曾在 1955 年用於首次合成鍆元素，並一共合成了 17 顆鍆原子。
鑀是一種具高度放射性的柔軟銀白色金屬，具順磁性。其化學屬性符合典型的重錒系元素，容易形成 + 3 氧化態，並特別在固體中也可以形成 + 2 態。鑀 - 253 的高放射性會使它明顯地發光，並會迅速破壞其晶體金屬結構，每克釋放大約 1000 焦耳的熱量。由於鑀 - 253 每天都損失 3% 的質量，並依次衰變為鉳和鉲，因此對鑀的研究十分困難。鑀 - 252 是壽命最長的鑀同位素（半衰期為 471.7 天），可以用於研究鑀的物理特性，但生產鑀 - 252 是極為困難的，每次的產量也極少。鑀是最後一種曾在宏觀尺度下以純元素形態被研究過的元素，即產量能以肉眼所見的最重元素，所用的同位素是較常見但半衰期短的鑀 - 253。和其他的人工合成超鈾元素一樣，鑀是極具放射性的，與其接觸會對健康造成損害。
## 歷史
鑀在 1952 年 12 月由阿伯特・吉奧索等人於伯克利加州大學連同阿貢國家實驗室和洛斯阿拉莫斯國家實驗室合作發現。含有鑀的樣本採自「常春藤麥克」核試驗的輻射落塵。該核試驗於 1952 年 11 月 1 日在太平洋埃內韋塔克環礁上進行，是首次成功引爆的氫彈。對爆炸落塵的初步檢驗發現了一種新的鈽同位素（244
94Pu
），而這只能通過鈾 - 238 吸收 6 顆中子，再進行兩次 β−衰變才會形成。 | [
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7429-92-7 | : $\mathrm {^{238}_{\ 92}U\ {\xrightarrow[{-2\ \beta ^{-}}]{+\ 6\ (n,\gamma )}}\ _{\ 94}^{244}Pu} $
當時一般認為，重原子核多次吸收中子是一件較罕見的現象，但 244
94Pu
的形成意味著鈾原子核可能會捕獲更多的中子，從而產生比鉲更重的元素。
飛機搭載濾紙飛過爆炸殘餘的雲，濾紙再交由吉奧索等人進行分析（244
94Pu
也是用同一種方法發現的）。在核試驗進行地點埃內韋塔克環礁處受污染的珊瑚礁也被送到美國進行處理及分析，從中又提取了更多放射性物質。疑似新元素的分離是在微酸性（pH ≈ 3.5）的檸檬酸 / 銨緩衝溶液中利用離子交換法在高溫下進行的。最後得出的鑀元素只有不到 200 個原子。不過，通過發現 253Es 的特徵性 α 衰變能量（6.6 MeV），還是能夠探測到鑀的存在。該同位素是在鈾 - 238 原子核捕獲了 15 顆中子，再經過 7 次 β 衰變後形成的，半衰期為 20.5 天。之所以能夠有這樣多次的中子捕獲，是因為核爆時所產生的高中子通量，使新產生的同位素能夠在衰變為較輕的元素之前吸收大量的中子。中子捕獲最初只會提高該核種的質量數（中子數加質子數），而不會提高其原子序（質子數）；之後的 β 衰變再依序增加原子序：
: $\mathrm {^{238}_{\ 92}U\ {\xrightarrow[{6\beta ^{-}}]{+\ 15n}}\ _{\ 98}^{253}Cf\ {\xrightarrow {\beta ^{-}}}\ _{\ 99}^{253}Es} $
某些 238U 更能夠另外再吸收兩顆中子（一共 17 顆），形成 255Es，以及 255Fm。鐨（Fm）是在本次核試驗中發現的另一種新元素。由於正值冷戰時期，因此這些新元素的發現被美國軍方列為機密，直到 1955 年才被公佈。這樣的快速多次中子捕獲使 R - 過程有了所需的實驗驗證。R - 過程是一種多次中子捕獲的過程，能夠解釋某些重元素（鎳以上元素）是如何在超新星爆炸中合成的，這是宇宙中許多穩定元素的來源。
同時，位於伯克利及阿貢的實驗室利用氮 - 14 和鈾 - 238 之間的核反應以及對鈽和鉲進行強烈的中子輻射，也產生了鑀（和鐨）的一些同位素： | [
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] |
7429-92-7 | : $\mathrm {^{252}_{\ 98}Cf\ {\xrightarrow {(n,\gamma )}}\ _{\ 98}^{253}Cf\ {\xrightarrow[{17.81\ d}]{\beta ^{-}}}\ _{\ 99}^{253}Es\ {\xrightarrow {(n,\gamma )}}\ _{\ 99}^{254}Es\ {\xrightarrow[{}]{\beta ^{-}}}\ _{100}^{254}Fm} $
研究結果在 1954 年發佈。報告中附有聲明，註明此前已有過對這些元素進行的研究。伯克利的研究團隊也發佈了有關鑀和鐨化學屬性的研究結果。有關「常春藤麥克」核彈的研究在 1955 年解密。
與美國團隊競爭的，有位於瑞典斯德哥爾摩的諾貝爾物理研究所。1953 年末至 1954 年初，該團隊以氧原子核撞擊鈾原子核，成功合成了較輕的一些鐨同位素，如 250Fm。這些結果也在 1954 年發佈。但是，由於發佈日期較早，所以人們一般還是承認伯克利團隊最先發現鑀元素。該團隊因此擁有對該元素的命名權。他們決定將第 99 號元素命名為 Einsteinium，以紀念逝世不久的阿爾伯特・愛因斯坦（Albert Einstein，1955 年 4 月 18 日逝）；並將第 100 號元素命名為 Fermium，以紀念另一位逝世不久的物理學家恩里科・費米（Enrico Fermi，1954 年 11 月 28 日逝）。1955 年 8 月 8 日至 20 日於第一屆日內瓦原子會議（Geneva Atomic Conference）上，阿伯特・吉奧索首次宣佈發現這些新元素。鑀的最初符號為「E」，後改為「Es」。
## 特性
### 物理特性
鑀是一種銀白色的放射性金屬。在元素週期表中，鑀位於鉲之右，鐨之左，鈥之下。其物理及化學特性與鈥有許多共通之處。其密度為 8.84 g/cm3，這比鉲的密度低（15.1 g/cm3），但與鈥的密度相約（8.79 g/cm3）。鑀的熔點（860 °C）比鉲（900 °C）、鐨（1527 °C）及鈥（1461 °C）的熔點低。鑀是一種柔軟的金屬，其體積模量只有 15 GPa，是非鹼金屬中該數值最低的元素之一。 | [
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7429-92-7 | 與更輕的錒系元素鉲、鉳、鋦及鋂不同的是，鑀不呈雙六方晶體結構，而是呈面心立方結構。其空間群為 _Fm3m_，點陣常數為 _a_ = 575 pm。但是有研究稱，鑀能夠在室溫下形成六方晶體，_a_ = 398 pm，_c_ = 650 pm，但在加熱到 300 °C 之後便轉變為面心立方結構。
鑀的放射性非常強，使其自身的晶體結構迅速受輻射破壞；每克 253Es 會通過輻射釋放 1000 瓦的能量，足以產生肉眼可見的亮光。這也可能是鑀擁有低密度、低熔點的原因。由於可用樣本稀少，所以鑀的熔點是通過觀察在電子顯微鏡下對鑀進行加熱而推導出的。少量樣本中的表面效應會降低熔點值。
鑀的化合價為二，而且具高揮發性。為了減少輻射對鑀自身的破壞，大部分對固體鑀及其化合物的測量都在熱退火之後馬上進行。某些鑀化合物是在還原性氣體中研究的，如 H2O+HCl 用於研究 EsOCl，這樣化合物在分解的同時，也會重新形成。
除了輻射導致的自我破壞以外，鑀的稀少和迅速衰變也對研究造成了困難。最常見的同位素 253Es 每年只生產一到兩次，每次份量不超過 1 毫克。每 1 天有 3.3% 的鑀轉變為鉳，再轉變為鉲：
: $\mathrm {^{253}_{\ 99}Es\ {\xrightarrow[{20\ d}]{\alpha }}\ _{\ 97}^{249}Bk\ {\xrightarrow[{314\ d}]{\beta ^{-}}}\ _{\ 98}^{249}Cf} $
因此大部分被研究的鑀樣本都受到了其他物質的污染，而其本身的屬性則是通過長期積累數據推導而得。其他避過污染問題的實驗方法包括用可調諧雷射選擇性地只激發鑀離子，這種方法被用於研究鑀的發光屬性。
對鑀金屬、其氧化物及氟化物磁性的研究指出，這三種物質從在液態氫中到室溫中均顯示出居禮外斯順磁性。推導出的 Es2O3 的有效磁矩為 10.4 ± 0.3 µB，EsF3 的為 11.4 ± 0.3 µB。這兩個值是錒系元素中最高的，相對應的居禮點分別為 53 和 37 K。
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7429-92-7 | 和所有錒系元素一樣，鑀在化學上非常活潑。其 + 3 氧化態在固體及水溶液中最為穩定，並呈淺粉紅色。在固體中，鑀還可以形成 + 2 態。這種 + 2 態在許多別的錒系元素中是不存在的，包括鏷、鈾、錼、鈽、鋦和鉳。Es2+ 化合物可以通過使用二氯化釤還原 Es3+ 來取得。氣態化學研究臆測可能存在 + 4 態，但這仍待證實。
### 同位素
鑀已知共有 19 種同位素及 3 種同核異構物，質量數從 240 到 258 不等，全部都具有放射性，其中最穩定的同位素為 252Es，半衰期為 471.7 天。其他較穩定的同位素包括 254Es（半衰期為 275.7 天）、255Es（39.8 天）及 253Es（20.47 天）。其餘所有的同位素半衰期都在 40 小時以下，大部分的在 30 分鐘以下。三種同核異構物中，最穩定的為 254_m_Es，其半衰期為 39.3 小時。
### 核分裂
鑀具有高核分裂率，因此要持續核連鎖反應所需的臨界質量很低。一個純 254Es 同位素球體的臨界質量為 9.89 公斤，只要加上一條 30 厘米長的鋼條或水反射層就能把臨界值降到 2.9 甚至 2.26 公斤。然而，這一數值遠比目前總共製造出的鑀元素要多，其中 254Es 的總產量則更少。
### 天然存量
由於鑀的所有同位素半衰期都很短，所以一切原始的鑀核種，也就是在地球形成時可能存在的鑀，至今都已全部衰變殆盡。鑀也可以通過地殼中的錒系元素（鈾和釷）發生多次中子捕獲產生，但這發生的可能性極低。因此地球上幾乎所有的鑀都是在科學實驗室、高能核反應爐或是核武器試驗中產生的，並在合成後只存留不超過幾年的時間。從 95 號鋂至 100 號鐨的超鈾元素，包括鑀，都曾位於加彭奧克洛的天然核反應爐中自然產生，但至今已不再形成了。
## 合成與提取
鑀是在核反應爐中通過對錒系元素進行中子撞擊而產生的。鑀元素的主要來源是位於美國田納西州橡樹嶺國家實驗室的 85 MW 高通率同位素反應爐（HFIR），以及位於俄羅斯季米特洛夫格勒核反應器研究所（NIIAR）的 SM-2 環流反應器。這兩個反應器都是專門用於製造超鋦元素的（_Z_ > 96）。兩座設施的功率和通量相約，所以兩者對超鋦元素的生產量應該是相約的，但文獻較少報導 NIIAR 所生產的超鋦元素。該實驗室通過對鋦進行輻射，一般每次可生產數十克（1×101 g）鉲、數毫克（1×10-3 g）鉳和鑀以及數皮克（1×10-12 g）鐨。 | [
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7429-92-7 | HFIR 在 1961 年首次製成微量的 253Es，樣本大約重 10 納克（1×10-9 g）。研究人員使用了一種特殊的磁秤來估計樣本的重量。之後的單次產量增加到 1967 年至 1970 年的 0.48 毫克，然後到 1971 年至 1973 年的 3.2 毫克，再到 1974 年至 1978 年的每年 3 毫克產量。這些數值指的是剛剛完成輻射時的鑀元素總量，而接著的分離過程會將純鑀的量降低大約 10 倍。
### 在實驗室中合成
對鈽進行強烈的中子輻射能夠產生 4 種鑀同位素：253Es（α 衰變半衰期為 20.03 天，自發裂變半衰期為 7×105 年）、254_m_Es（β 衰變半衰期為 38.5 小時）、254Es（α 衰變半衰期為 276 天）及 255Es（β 衰變半衰期為 24 天）。另一種合成方式是以氮離子或氧離子高強度撞擊鈾 - 238。
鑀 - 247（半衰期為 4.55 分鐘）是以碳離子撞擊鋂 - 241，或以氮離子撞擊鈾 - 238 產生的。後者在 1967 年於俄羅斯杜布納進行，參與的科學家因此獲得了列寧共青團獎。
同位素 248Es 是以氘離子撞擊 249Cf 產生的。它主要以放射正電子的形式進行衰變，成為 248Cf，半衰期為 25 ± 5 分鐘；它也會進行能量為 6.87 MeV 的 α 衰變，釋放的電子數大約是 α 粒子數的 400 倍。
: $\mathrm {^{249}_{\ 98}Cf\ +\ _{1}^{2}D\ \longrightarrow \ _{\ 99}^{248}Es\ +\ 3\ _{0}^{1}n\quad (_{\ 99}^{248}Es\ {\xrightarrow[{27\ min}]{\beta +}}\ _{\ 98}^{248}Cf)} $
較重的同位素 249Es、250Es、251Es 和 252Es 能夠通過對 249Bk 照射 α 粒子而產生。這種過程會釋放 1 到 4 顆中子，所以可以用來同時合成 4 中不同的同位素。
: $\mathrm {^{249}_{\ 97}Bk\ {\xrightarrow {+\alpha }}\ _{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 99}^{249,\ 250,\ 251,\ 252}Es} $ | [
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7429-92-7 | 鑀 - 253 是通過對 0.1 至 0.2 毫克的 252Cf 目標進行熱中子照射產生的，中子通量為每秒每平方厘米 2 至 5×1014 顆中子，照射時長為 500 至 900 個小時：
: $\mathrm {^{252}_{\ 98}Cf\ {\xrightarrow {(n,\gamma )}}\ _{\ 98}^{253}Cf\ {\xrightarrow[{17.81\ d}]{\beta ^{-}}}\ _{\ 99}^{253}Es} $
### 在核爆炸中合成
對 1 千萬噸級核彈「常春藤麥克」的輻射落塵所進行的分析是一項長期項目，其目的為研究在高能核爆中超鈾元素的生產效率。使用核爆的原因如下：把鈾轉變成超鈾元素需要多重中子捕獲，而捕獲機率隨中子通量的提升而增加。核爆炸是最強的中子源，每微秒每平方厘米能夠產生 1023 個中子（約 1029 中子 /(cm²・s)）。相比之下，高通率同位素反應爐的中子通量也只有 5×1015 中子 /(cm²・s)。埃內韋塔克環礁爆炸處隨即設立起了一座實驗室，以對輻射落塵進行初步分析，因為某些同位素在被送到美國本土之前，便可能已經衰變殆盡了。飛機帶著濾紙在核爆之後飛過環礁的上空，並把採回的樣本立即送往該實驗室。起初，人們希望能夠以此發現比鐨更重的元素，但在 1954 年至 1956 年於該環礁進行了一系列百萬噸級核試驗之後，卻仍沒有發現這些元素。
由於相信在局限空間內的核爆可能會增加產生重元素的可能性，因此內華達試驗基地（現內華達國家安全區）又在 1960 年代進行地底核試驗，並採集數據。除了一般的鈾之外，核彈還裝有鋂和釷與鈾的混合物，以及鈽與錼的混合物。試驗結果產量偏少，因為裝載的重元素提高了裂變率，並導致較重同位素的流失。對產物的提取分離非常困難，因為原子塵分佈在地下 300 至 600 米處熔化及汽化了的岩石中，而到如此的深度鑽地取樣又缺乏效率。 | [
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7429-92-7 | 在 1962 至 1969 年間進行的 9 次地底核試驗中，最後一次的規模最大，而其超鈾元素產量也最高。在產量與原子質量數的關係圖（左圖）中，質量較低並擁有奇數質量數的同位素有較低的產量，因而在圖中產生鋸齒形的曲線。這是因為擁有奇數核子的同位素有較高的裂變率。研究中最大的問題在於採集爆炸後散落在各處的輻射落塵。載有濾紙的飛機只吸附到總量的 4×10-14，而在埃內韋塔克環礁處所採集到的量也只增加了兩個數量級。在「Hutch」核試驗 60 天後提取的 500 公斤岩石當中也只有總量的 10−7。這 500 公斤岩石，相比在爆炸 7 天後取得的 0.4 公斤石塊，其含超鈾元素的量只不過高出 30 倍。這證明超鈾元素的量與收集的岩石重量是不成正比的。為了加快樣本採集的速度，人們在核試驗之前就在爆炸原點鑽出了若干個豎井，這樣爆炸就會把足夠的樣本從中心通過豎井帶到地表，方便採樣。該方法在「Anacostia」和「Kennebec」核試驗中得到嘗試，並立即為研究提供了數百公斤的物質，但是其中錒系元素的濃度比通過鑽地取得的樣本的少三倍。這種方法雖然能夠有效幫助研究存留時間短的同位素，但卻無法提高整體錒系元素的產量。
儘管這一系列核試驗沒有再產生新的元素（除鑀和鐨外），而所取得的超鈾元素量也不如理想，但是其總體產生的稀有重同位素的量卻仍然比此前實驗室中能夠合成的要多。在「Hutch」核試驗中取得的包括大量稀有的 250Cm 同位素，這是很難從 249Cm 產生的：249Cm 的半衰期（64 分鐘）相對需數個月時間的反應爐輻射來說太短，但對於核爆炸時間段來說就很長了。
### 分離
不同的鑀合成方式需要相應的分離程序。如果使用迴旋加速器使輕離子對重離子進行撞擊，那麼重離子目標體是固定在金屬薄片上的，因此產生的鑀在輻射完畢後只需要從薄片上沖洗下來。不過這種方法的鑀產量相對較低。使用反應器輻射法能夠大大提高產量，但產物將會混有各種錒系元素的同位素，以及核分裂產生的鑭系元素。從這種混合物中分離鑀元素是個非常繁複的過程，須在高溫高壓下重復進行正離子交換，再進行色譜法。鑀與鉳的分離是非常重要的，因為在核反應器中產生的最穩定的鑀同位素 253Es 會衰變為 249Bk，半衰期只有 20 天。這對於多數實驗來說都是個很短的時間段。要分離它們就需要用到鉳的化學特性：鉳能夠輕易地氧化成為 + 4 態的固體，並從溶液中沉澱出來；其他的錒系元素，包括鑀，則會在溶液中保持其 + 3 氧化態。 | [
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7429-92-7 | 要在衰變產物中把三價的錒系元素從鑭系元素中分離出來，可以使用正離子交換樹脂柱，並注入含有 90% 水及 10% 乙醇的氫氯酸飽和溶液，作為洗提劑。其後一般使用負離子交換層析法，所用的洗提劑是濃度為 6 M 的氫氯酸。最後再以經銨鹽處理過的正離子交換樹脂柱（Dowex-50 交換柱）來分離含有 99、100 及 101 號元素的分析層。根據洗提位置隨時間的變化，就可以辨認這幾個元素，可用的洗提劑包括 α- 羥基異丁酸溶液（α-HIB）。
對三價錒系元素的分離也可以通過溶劑萃取層析法進行，使用二 (2 - 乙基己基) 磷酸酯（簡稱 HDEHP）作為靜止的有機相態，並使用硝酸作為流動的水溶相態。錒系元素的洗提順序與使用正離子交換樹脂柱時的順序相反。以這種方法分離出來的鑀不含有機絡化劑，而使用樹脂柱分離的鑀則會含有機絡化劑。
### 鑀金屬的製備
鑀是一種高活性元素，因此要從鑀化合物中提取純鑀金屬，須要使用強還原劑。其中一種方法是使用鋰來還原三氟化鑀：
: EsF3 + 3 Li → Es + 3 LiF
但是，由於熔點很低，而且其輻射也會迅速破壞其自身結構，所以鑀的蒸氣壓比氟化鋰還要高。這大大降低了這條反應的效率。早期的製備程序中曾嘗試用過這種方法，但研究人員很快就轉用鑭金屬來還原三氧化二鑀：
: Es2O3 + La → 2 Es + La2O3
## 化合物
### 氧化物
三氧化二鑀（Es2O3）呈無色立方晶體，可通過燃燒硝酸鑀 (III) 燃燒製成。其首次被研究時的量只有數微克，晶體大小約為 30 奈米。該氧化物還有其他兩種相態，結構分別屬於單斜晶系及六方晶系。Es2O3 形成時的相態取決於其製備方式，目前還沒有相關的相態圖。在鑀的自我輻射及加熱下，三種相態會自發互相轉變。其六方晶系的相態與三氧化二鑭同型：Es3+ 離子被 O2–離子以六配位的形式包圍。
### 鹵化物
鑀的鹵化物具有 + 2 及 + 3 氧化態。從鑀的氟化物到碘化物，+3 態最穩定的。
將氟離子注入三氯化鑀溶液，可以沉澱出三氟化鑀（EsF3）。另一種製備方法是在 1 至 2 個大氣壓及 300 至 400 °C 溫度下，讓三氧化二鑀與三氟化氯（ClF3）或與氟氣（F2）進行反應。EsF3 的晶體結構屬於六方晶系，與三氟化鉲（CfF3）同型，其中的 Es3+ 離子被氟離子以八面體八配位的形式包圍。 | [
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7429-92-7 | 三氯化鑀（EsCl3）的製備方式是在約 500 °C 的亁氯化氫氣體中對三氧化二鑀進行退火 20 分鐘。在溫度降到大約 425 °C 時，它就會開始結晶成一種橙色的固體。其晶體結構屬於六方晶系，與三氯化鈾同型，其中的鑀原子被氯原子以三帽三角菱柱九配位的形式包圍。三溴化鑀（EsBr3）是一種淺黃色固體，晶體結構屬於單斜晶系，與三氯化鋁同型，其中的鑀原子被溴原子以八面體六配位的形式包圍。
鑀的二價化合物可以通過用氫對其三價鹵化物進行還原而取得：
: 2 EsX3 + H2 → 2 EsX2 + 2 HX, X = F, Cl, Br, I
人們已製成了二氯化鑀（EsCl2）、二溴化鑀（EsBr2）、及二碘化鑀（EsI2），並對各個分別進行了光吸收特性的判定。目前沒有有關其結構的資料。
已知的鹵氧化物包括 EsOCl、EsOBr 及 EsOI。其製成方式是將三鹵化物置於水和相應鹵化氫的混合氣體中，使其進行反應。例如，EsCl3 + H2O/HCl 可產生 EsOCl。
### 有機化合物
鑀的高放射性有用於放射性療法的潛力。科學家曾合成鑀的有機錯合物，從而將鑀原子帶到身體中指定的器官裏。曾經有實驗把檸檬酸鑀（以及鐨化合物）注射到狗的體內。Es3+ 也被加入到 β- 二酮螯合物中，因為在紫外線照射下，鑭系元素的 β- 二酮螯合物在所有金屬有機化合物中擁有最強的冷發光效應。當製備鑀錯合物時，要用 Gd3+ 把 Es3+ 稀釋 1000 倍。這樣可以降低化合物被自身輻射破壞的程度，使化合物能夠在實驗所需的 20 分鐘內不至於瓦解。Es3+ 發光的強度太弱，因此未能被探測到。這是因為化合物中各部分的相對能量不理想，所以螯合物框架不能有效地把能量傳遞到 Es3+ 離子中。在換成鋂、鉳及鐨元素後，實驗有相同的結果。
Es3+ 離子的發光效應卻在無機氫氯酸溶液及含有二 (2 - 乙基己基) 正磷酸的無機溶液中被觀測到。波長峰值位於 1064 奈米（半值寬度為 100 奈米），可經由綠光照射來激發（約 495 奈米波長）。發光持續數微秒，量子產額低於 0.1%。Es3+ 的非輻射衰變率比鑭系元素的高，而這是由於 Es3+ 的 f 軌域電子與內層電子間具有較強的交互作用。
## 應用
鑀除了在基礎科學研究中用於製造原子序更高的超鈾元素之外，沒有任何實際用途。 | [
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] |
7429-92-7 | 1955 年，勞倫斯伯克利國家實驗室用迴旋加速器對約 109 個 253Es 原子進行輻射，從而製造出鍆。所用的反應 253Es(α,n)256Md 產生了 17 個鍆原子（原子序為 101）。
稀有的鑀 - 254 同位素常被用於製造超重元素，因為它質量高，半衰期較長（270 天），每次可取得的量也很高（數微克）。故此，在 1985 年，位於美國加州伯克利的 superHILAC 直線加速器使用了鑀 - 254 來合成 Uue（119 號元素）。他們以鈣 - 48 離子撞擊鑀 - 254 目標體，但沒有探測到任何 Uue 原子。這為反應截面設下了 300 納靶恩的上限。
: $\,_{99}^{254}\mathrm {Es} +\,_{20}^{48}\mathrm {Ca} \to \,_{119}^{302}\mathrm {Uue} ^{*}\to $ 無原子
鑀 - 254 曾用於校準測量員 5 號：月球登陸器上的化學分析光譜儀（見 α- 散射表面分析儀）。由於該同位素的質量很高，因此月表上輕元素與鑀 - 254 同位素在分析儀上的信號重疊會大大減少。
## 安全
有關鑀毒性的數據主要來自對動物的研究。當老鼠進食了鑀以後，只有大約 0.01% 的鑀進入了血液。進入血液的鑀中有 65% 進入了骨骼，並存留大約 50 年；25% 進入了肺部，生物半衰期約為 20 年。但由於鑀本身半衰期更短，所以這些數值是沒有實際關係的。另外 0.035% 進入了睪丸或 0.01% 進入卵巢，並永久存留。進食的量中大約 10% 被排放出來。鑀在骨骼表面均勻分佈，這和進食了鈽後的結果相同。
## 備註
## 參考資料
## 書目
* Greenwood, Norman Neill; Earnshaw, Alan. Chemistry of the elements. 2016. ISBN 978-0-7506-3365-9. OCLC 1040112384 （英語）. | [
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] |
7429-92-7 | * Haire, Richard G. Einsteinium. Morss, Lester R.; Edelstein, Norman M.; Fuger, Jean (編). The Chemistry of the Actinide and Transactinide Elements (PDF) **3** 3rd. Dordrecht, the Netherlands: Springer. 2006: 1577–1620. doi:10.1007/1-4020-3598-5\_12. （原始內容 (PDF) 存檔於 2010-07-17）.
* Holleman, Arnold F. and Wiberg, Nils _Textbook of Inorganic Chemistry_, 102 Edition, de Gruyter, Berlin 2007, ISBN 978-3-11-017770-1.
* Seaborg, G.T. (ed.) (1978) _Proceedings of the Symposium Commemorating the 25th Anniversary of Elements 99 and 100 （頁面存檔備份，存於網際網路檔案館）_ , 23 January 1978, Report LBL-7701
## 外部連結
* 元素鑀在洛斯阿拉莫斯國家實驗室的介紹（英文）
* EnvironmentalChemistry.com —— 鑀（英文）
* 元素鑀在 _The Periodic Table of Videos_（諾丁漢大學）的介紹（英文）
* 元素鑀在 Peter van der Krogt elements site 的介紹（英文）
* WebElements.com – 鑀（英文）
* Age-related factors in radionuclide metabolism and dosimetry: Proceedings – contains several health related studies of einsteinium | [
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BOINC_Account_Manager | **柏克萊開放式網路計算平台**（英語：**Berkeley Open Infrastructure for Network Computing**，簡稱 **BOINC**）是目前主流的分佈式計算平台之一，由加州大學柏克萊分校電腦學系發展出的分散式計算系統。原本專為 SETI@home 項目而設計，目前納入的領域包括數學、醫學、天文學和氣象學等。BOINC 匯集全球各地誌願者的電腦或行動裝置，提供運算能力給研究者。截至 2017 年 3 月，BOINC 在全世界有約 815,912 台活躍的主機，提供約 18.971PetaFLOPS 的運算能力。
## 運行原理
安裝 BOINC 軟體的電腦在閒置時，會使用電腦的 CPU 或 GPU 進行運算。即使電腦正在使用，BOINC 將利用空閒的 CPU 週期作計算。如果志願者的電腦裝有 NVIDIA、AMD 或 Intel 的 GPU 並選擇使用其作為運算硬體，則某些 BOINC 專案的計算速度將比單純使用 CPU 的版本提高 2 至 10 倍。
當志願者使用電腦參與 BOINC 專案時，BOINC 會與專案的伺服器連線，伺服器會向電腦提供工作單位（Workunit，簡稱 WU），然後電腦會對工作單位作運算，等待運算完成後，BOINC 將把結果上傳至專案伺服器。
專案伺服器負責協調各志願者電腦的工作，包括發送工作單位、接收已處理的結果、核對大量的結果再作處理，成為研究人員需要的數據。由於個別的電腦可能會在運算過程出現錯誤，所以伺服器一般會把同一工作單位傳送至多個志願者，並比較各個結果。
BOINC 設有積分系統，積分間接反映志願者的貢獻，因為在 BOINC 上可以運行的專案千差萬別。例如專案 A 的工作包在某台電腦上需要 3 個小時完成，而專案 B 的工作包在該電腦上需要 30 個小時才能完成，顯然用完成的工作包的數目來衡量工作量是不可行的；而不同電腦的效能也有差別，用 CPU 時間來衡量工作量亦是不行的。積分系統只能通過一定的演算法得到志願者實際完成的計算量。
BOINC 從版本 6.4.5 起，開始支援 GPU 運算，目前有 GPUgrid.net、Einstein@Home、Milkyway@home、PrimeGrid、Collatz Conjecture 和 DNETC@Home 等多個 GPU 專案。 | [
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BOINC_Account_Manager | 使用者亦可使用 BOINC 帳戶管理器（BOINC Account Manager）方便參與和管理不同 BOINC 平台項目。
## 專案
### 生物學、醫學
* Docking@Home— 研究更深入的蛋白質鍵結和反應的原子等級構造和細節，並藉由其研究結果來研發藥物以治療人類疾病，目前已停止運作。
* DrugDiscovery@Home— 研發藥物以治療人類疾病，目前已停止運作。
* Malaria Control— 類比瘧疾的影響及控制，目前已停止運作。
* Predictor@home— 預測蛋白質的結構，目前已停止運作。
* Proteins@home— 推論 DNA 的次序，目前已停止運作。
* GPUGRID.net（頁面存檔備份，存於網際網路檔案館）— 研究分子生物動力學相關的研究，主要運行環境為支援 CUDA 的 NVidia GPU。
* Rosetta@home— 研究蛋白質的摺疊。
: * RALPH@Home—Rosetta@Home 的測試專案。
* SIMAP（Similarity Matrix of Proteins）－ 一個蛋白質同源計算序列並可以對這些序列數據提供專業的檢索工具的資料庫，目前已停止運作。
* TANPAKU— 利用布朗動力學方法計算蛋白質的結構，目前已停止運作。
* POEM@HOME— 利用能量法來研究蛋白質的結構，目前已停止運作。
* MindModeling@Home— 研究人類腦部的認知科學。
* Superlink@Technion— 幫助科學家研究人類基因及其異常所產生的疾病，目前已停止運作。
* The Lattice Project— 美國馬里蘭大學的研究生物資訊學領域相關的分散式計算平台，目前已停止運作。
* Virtual Prairie
* Cels@Home
* RNA world— 研究分析生物中 RNA 的分子結構。
* DNA@Home— 研究有關生物中 DNA 的基因調控作用，目前已停止運作。
* FightNeglectedDiseases@Home（FiND@Home）
* SIDock@home
### 氣象學、地球科學
* Climateprediction.net（CPDN）— 預測廿一世紀的氣候。 | [
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BOINC_Account_Manager | : * BBC Climate Change Experiment— 與英國廣播公司合作的項目，結果已製作成紀錄片，目前已停止運作並併入 Climateprediction.net 的主計劃中。
* Seasonal Attribution Project— 研究引致極端氣候的人為因素。
* CPDN Beta—Climateprediction.net 的測試專案。
* 地震捕手網路 (Quake Catcher Network)— 利用分佈在全球各地電腦的傳感器來偵測和研究地震現象。
### 物理、化學、天文學
* Einstein@Home— 搜尋脈衝星的引力波，支援 GPU 運算。
* Cosmology@Home— 研究宇宙的模型及其相關的物理天文學資訊。
* Leiden Classical— 類比在經典物理環境下的各種分子和原子，目前已停止運作。
* LHC@home— 類比粒子加速，協助設計及改善 LHC 粒子加速器。
: * vLHC@Home — 亦稱 "LHC2.0"，先前為 Test4Theory 專案。利用虛擬機器類比粒子加速器的項目。
* NanoHive@Home— 類比和研究奈米分子的結構系統和特性，目前已停止運作。
* Orbit@home— 計算近地小行星的軌道路徑，以預防其碰撞地球而對地球造成損害，曾經由於缺乏資金已暫停運作，已在 2014-15 年恢復運行。
* QMC@Home— 發展在量子化學領域廣泛使用的量子統計類比方法，目前已停止運作。
* SETI@home— 搜尋外太空文明，已於 2020 年 3 月 31 日無限期暫停。
: * SETI@home beta— 測試 SETI@home。
* μFluids@Home— 類比微重力和微流體力學問題的兩相現象，目前已停止運作。
* Milkyway@home— 研究銀河系的重力波，支援 NVidia CUDA 及 ATi 的顯示卡運算。
* Spinhenge@home— 研究奈米磁性分子的物理特性，目前已停止運作。
* BRaTS@home— 進行引力波束追蹤的相關計算，目前已停止運作。
* Hydrogen@Home— 研究以氫作為動力的乾淨能源，目前已停止運作。
* Magnetism@home
* SLinCA@Home— 研究物理及材料科學領域。
* Eon— 利用理論化學方法來研究凝聚態物理學和材料科學，目前已停止運作。 | [
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BOINC_Account_Manager | ### 數學
* ABC@Home— 嘗試解決 ABC 猜想。
* Chess960@Home— 研究菲舍爾任意制象棋的開局理論並建立巨型的西洋棋棋局資料庫。
* NQueens@home— 解決西洋棋的 N 皇后問題，目前已停止運作。
* PrimeGrid— 嘗試將巨大的數字進行因式分解，尋找人類未知的質數。
* Rectilinear Crossing Number（頁面存檔備份，存於網際網路檔案館）— 研究平面中最少的交叉數問題，目前已停止運作。
* RieselSieve— 尋找 k\*2^n-1 形式的素數，顯示 k=509203 是最小的黎瑟爾斯數，目前已併入 PrimeGrid 專案中。
* Collatz Conjecture— 研究考拉茲猜想。
* NFS@Home
* Sudoku project— 研究數獨問題，目前已停止運作。
* Ramsey@Home— 研究拉姆西數，目前已停止運作。
* Reversi— 研究黑白棋遊戲，目前已停止運作。
* WEP-M+2 Project— 使用 WEP 演算法對 2^p+1 進行因式分解。
* Sudoku@vtaiwan— 由台灣的交通大學推出的計劃，研究數獨問題，目前已停止運作。
* DNETC@HOME
### 電腦、資訊科技
* World Community Grid— 由 IBM 主持，主要目的為利用分佈式計算來幫助尋找人類疾病的治療方法，和改善人類生活的相關研究。
* AQUA@home— 幫助設計量子電腦，目前已停止運作。
* BURP— 處理及創作三維動畫。
* BOINC@TACC
* DepSpid— 網際網路搜尋器，目前已停止運作。
* EDGeS@Home
* Enigma@Home— 嘗試破解第二次世界大戰時由恩尼格瑪密碼機傳送的原始訊息。
* HashClash
* Project Neuron— 測試 BOINC 框架，目前已停止運作。
* SHA-1 Collision Search Graz— 密碼學：尋找 SHA-1 碰撞，目前已停止運作。
* VGTU@Home（頁面存檔備份，存於網際網路檔案館）— 軟體測試：提供分散式計算平台，改善 BOINC。
* IBERCIVIS— 提供西班牙科學研究的分散式計算平台。
* DistrRTgen— 利用 BOINC 的分佈式運算產生彩虹表。
* SZTAKI Desktop Grid— 搜尋廣義二進制數系。 | [
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] |
BOINC_Account_Manager | * yoyo@home— 利用 BOINC 的封裝技術將現有的分佈式計算項目引入到 BOINC 平台，支援 PS3 運算。
* Pirates@home— 測試 BOINC 專案。
* XtremLab— 研究並改善網格計算，包括 BOINC 平台，目前已停止運作。
## 除分佈式計算以外的應用
儘管 BOINC 一般用於進行志願計算，但其平台也可搭建公司私有計算網格或建立校園虛擬超級計算網格。
### 搭建公司計算網格
搭建 BOINC 網格主要有幾個步驟：
* 架設及安裝 BOINC 伺服器和客戶端
* 關閉外圍網路的帳戶建立
這樣的網格與公用網格相比，具有作弊概率低、運算效率高（工作包不用擔心過期）的優勢。
### 建立校園虛擬計算網格
建立這樣的網格方法類似公司網格，一個較低階的伺服器（約一萬美元）就能勝任幾萬個客戶端的調度工作。倫敦的威斯特斯頓大學建立了一個這樣的網格，據估計，一年可節省約 £125,000。
## 參考文獻
## 外部連結
* BOINC 官方網站 （頁面存檔備份，存於網際網路檔案館）
* BOINC 專案流行度（頁面存檔備份，存於網際網路檔案館）（繁體中文）
* BOINC 在 Github 上的原始碼 （頁面存檔備份，存於網際網路檔案館）
* 中國分散式計算總站上的頁面：BOINC （頁面存檔備份，存於網際網路檔案館）
## 參見
* 分散式計算
* 分散式計算平台
* 網格計算 | [
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電腦視覺 | **電腦視覺**（Computer vision）是一門研究如何使機器「看」的科學，更進一步的說，就是指用攝影機和電腦代替人眼對目標進行辨識、跟蹤和測量等機器視覺，並進一步做圖像處理，用電腦處理成為更適合人眼觀察或傳送給儀器檢測的圖像。
作為一門科學學科，電腦視覺研究相關的理論和技術，試圖建立能夠從圖像或者多維資料中取得「資訊」的人工智慧系統。這裡所指的資訊指香農定義的，可以用來幫助做一個「決定」的資訊。因為感知可以看作是從感官訊號中提取資訊，所以電腦視覺也可以看作是研究如何使人工系統從圖像或多維資料中「感知」的科學。
作為一個工程學科，電腦視覺尋求基於相關理論與模型來建立電腦視覺系統。這類系統的組成部分包括：
1. 過程控制（例如工業機器人和無人駕駛汽車）
2. 事件監測（例如圖像監測）
3. 資訊組織（例如圖像資料庫和圖像序列的索引建立）
4. 物體與環境建模（例如工業檢查，醫學圖像分析和拓撲建模）
5. 交感互動（例如人機互動的輸入裝置）
電腦視覺同樣可以被看作是生物視覺的一個補充。在生物視覺領域中，人類和各種動物的視覺都得到了研究，從而建立了這些視覺系統感知資訊過程中所使用的物理模型。另一方面，在電腦視覺中，靠軟體和硬體實現的人工智慧系統得到了研究與描述。生物視覺與電腦視覺進行的學科間交流為彼此都帶來了巨大價值。
電腦視覺包含如下一些分支：畫面重建，事件監測，目標跟蹤，目標辨識，機器學習，索引建立，圖像恢復等。
## 電腦視覺的發展現狀
電腦視覺領域的突出特點是其多樣性與不完善性。
這一領域的先驅可追溯到更早的時候，但是直到 20 世紀 70 年代後期，當電腦的效能提高到足以處理諸如圖像這樣的大規模資料時，電腦視覺才得到了正式的關注和發展。然而這些發展往往起源於其他不同領域的需要，因而何謂「電腦視覺問題」始終沒有得到正式定義，很自然地，「電腦視覺問題」應當被如何解決也沒有成型的公式。
儘管如此，人們已開始掌握部分解決具體電腦視覺任務的方法，可惜這些方法通常都僅適用於一群狹隘的目標（如：臉孔、指紋、文字等），因而無法被廣泛地應用於不同場合。
對這些方法的應用通常作為某些解決複雜問題的大規模系統的一個組成部分（例如醫學圖像的處理，工業製造中的品質控制與測量）。在電腦視覺的大多數實際應用當中，電腦被預設為解決特定的任務，然而基於機器學習的方法正日漸普及，一旦機器學習的研究進一步發展，未來「泛用型」的電腦視覺應用或許可以成真。 | [
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電腦視覺 | 人工智慧所研究的一個主要問題是：如何讓系統具備「計劃」和「決策能力」？從而使之完成特定的技術動作（例如：移動一個機器人通過某種特定環境）。這一問題便與電腦視覺問題息息相關。在這裡，電腦視覺系統作為一個感知器，為決策提供資訊。另外一些研究方向包括圖型識別和機器學習（這也隸屬於人工智慧領域，但與電腦視覺有著重要聯絡），也由此，電腦視覺時常被看作人工智慧與電腦科學的一個分支。
物理是與電腦視覺有著重要聯絡的另一領域。
電腦視覺關注的目標在於充分理解電磁波 —— 主要是可見光與紅外線部分 —— 遇到物體表面被反射所形成的圖像，而這一過程便是基於光學物理和固態物理，一些尖端的圖像感測器甚至會應用到量子力學理論，來解析影像所表示的真實世界。同時，物理學中的很多測量難題也可以通過電腦視覺得到解決，例如流體運動。也由此，電腦視覺同樣可以被看作是物理學的拓展。
另一個具有重要意義的領域是神經生物學，尤其是其中生物視覺系統的部分。
在整個 20 世紀中，人類對各種動物的眼睛、神經元、以及與視覺刺激相關的腦部組織都進行了廣泛研究，這些研究得出了一些有關「天然的」視覺系統如何運作的描述（儘管仍略嫌粗略），這也形成了電腦視覺中的一個子領域 —— 人們試圖建立人工系統，使之在不同的複雜程度上類比生物的視覺運作。同時電腦視覺領域中，一些基於機器學習的方法也有參考部分生物機制。
電腦視覺的另一個相關領域是訊號處理。很多有關單元變數訊號的處理方法，尤其對是時變訊號的處理，都可以很自然的被擴充為電腦視覺中對二元變數訊號或者多元變數訊號的處理方法。但由於圖像資料的特有屬性，很多電腦視覺中發展起來的方法，在單元訊號的處理方法中卻找不到對應版本。這類別方法的一個主要特徵，便是他們的非線性以及圖像資訊的多維性，以上二點作為電腦視覺的一部分，在訊號處理學中形成了一個特殊的研究方向。
除了上面提到的領域，很多研究課題同樣可被當作純粹的數學問題。例如，電腦視覺中的很多問題，其理論基礎便是統計學，最佳化理論以及幾何學。
如何使既有方法通過各種軟硬體實現，或說如何對這些方法加以修改，而使之獲得合理的執行速度而又不損失足夠精度，是現今電腦視覺領域的主要課題。
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電腦視覺 | **電腦視覺**，**圖像處理**，**圖像分析**，**機器人視覺**和**機器視覺**是彼此緊密關聯的學科。如果你翻開帶有上面這些名字的教材，你會發現在技術和應用領域上他們都有著相當大部分的重疊。這表明這些學科的基礎理論大致是相同的，甚至讓人懷疑他們是同一學科被冠以不同的名稱。
然而，各研究機構，學術期刊，會議及公司往往把自己特別的歸為其中某一個領域，於是各種各樣的用來區分這些學科的特徵便被提了出來。下面將給出一種區分方法，儘管並不能說這一區分方法完全準確。
**電腦視覺**的研究物件主要是對映到單幅或多幅圖像上的三維場景，例如三維場景的重建。電腦視覺的研究很大程度上針對圖像的內容。
**圖像處理**與**圖像分析**的研究物件主要是二維圖像，實現圖像的轉化，尤其針對像素級的操作，例如提高圖像對比度，邊緣提取，去雜訊和幾何變換如圖像旋轉。這一特徵表明無論是圖像處理還是圖像分析其研究內容都和圖像的具體內容無關。
**機器視覺**主要是指工業領域的視覺研究，例如自主機器人的視覺，用於檢測和測量的視覺。這表明在這一領域通過軟體硬體，圖像感知與控制理論往往與圖像處理得到緊密結合來實現高效的機器人控制或各種即時操作。
**圖型識別**使用各種方法從訊號中提取資訊，主要運用統計學的理論。此領域的一個主要方向便是從圖像資料中提取資訊。
還有一個領域被稱為**成像技術**。這一領域最初的研究內容主要是製作圖像，但有時也涉及到圖像分析和處理。例如，**醫學成像**就包含大量的醫學領域的圖像分析。
對於所有這些領域，一個可能的過程是你在電腦視覺的實驗室工作，工作中從事著圖象處理，最終解決了機器視覺領域的問題，然後把自己的成果發表在了圖型識別的會議上。
## 電腦視覺的經典問題
幾乎在每個電腦視覺技術的具體應用都要解決一系列相同的問題。這些經典的問題包括：
### 辨識
一個電腦視覺，圖像處理和機器視覺所共有的經典問題便是判定一組圖像資料中是否包含某個特定的物體，圖像特徵或運動狀態。這一問題通常可以通過機器自動解決，但是到目前為止，還沒有某個單一的方法能夠廣泛的對各種情況進行判定：在任意環境中辨識任意物體。現有技術能夠也只能夠很好地解決特定目標的辨識，比如簡單幾何圖形辨識，臉部辨識，印刷或手寫檔案辨識或者車輛辨識。而且這些辨識需要在特定的環境中，具有指定的光照，背景和目標姿態要求。
廣義的辨識在不同的場合又演化成了幾個略有差異的概念： | [
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電腦視覺 | * **辨識（狹義的）：**對一個或多個經過預先定義或學習的物體或物類進行辨識，通常在辨識過程中還要提供他們的二維位置或三維姿態。
* **鑑別：**辨識辨認單一物體本身。例如：某一人臉的辨識，某一指紋的辨識。
* **監測：**從圖像中發現特定的情況內容。例如：醫學中對細胞或組織不正常技能的發現，交通監視儀器對過往車輛的發現。監測往往是通過簡單的圖象處理發現圖像中的特殊區域，為後繼更複雜的操作提供起點。
辨識的幾個具體應用方向：
* **基於內容的圖像提取：**在巨大的圖像集合中尋找包含指定內容的所有圖片。被指定的內容可以是多種形式，比如一個紅色的大致是圓形的圖案，或者一輛自行車。在這裡對後一種內容的尋找顯然要比前一種更複雜，因為前一種描述的是一個低階直觀的視覺特徵，而後者則涉及一個抽象概念（也可以說是進階的視覺特徵），即『自行車』，顯然的一點就是自行車的外觀並不是固定的。
* **姿態評估：**對某一物體相對於攝錄影機的位置或者方向的評估。例如：對機器臂姿態和位置的評估。
* **光學字元辨識**對圖像中的印刷或手寫文字進行辨識鑑別，通常的輸出是將之轉化成易於編輯的文件形式。
### 運動
基於序列圖像的對物體運動的監測包含多種類型，諸如：
* **自體運動：**監測攝錄影機的三維剛性運動。
* **圖像跟蹤：**跟蹤運動的物體。
### 場景重建
給定一個場景的二或多幅圖像或者一段錄影，場景重建尋求為該場景建立一個三維模型。最簡單的情況便是生成一組三維空間中的點。更複雜的情況下會建立起完整的三維表面模型。
### 圖像恢復
圖像恢復的目標在於移除圖像中的雜訊，例如儀器雜訊、動態模糊等。
## 電腦視覺系統
電腦視覺系統的結構形式很大程度上依賴於其具體應用方向。有些是獨立工作的，用於解決具體的測量或檢測問題；也有些作為某個大型複雜系統的組成部分出現，比如和機械控制系統，資料庫系統，人機介面裝置協同工作。電腦視覺系統的具體實現方法同時也由其功能決定 —— 是預先固定的抑或是在執行過程中自動學習調整。儘管如此，有些功能卻幾乎是每個電腦系統都需要具備的： | [
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電腦視覺 | * **圖像取得：**一幅數位影像是由一個或多個圖像感測器產生，這裡的感測器可以是各種光敏攝錄影機，包括遙感裝置，X 射線斷層攝影儀，雷達，超聲波接收器等。取決於不同的感測器，產生的圖片可以是普通的二維圖像，三維圖組或者一個圖像序列。圖片的像素值往往對應於光在一個或多個光譜段上的強度（灰度圖或彩色圖），但也可以是相關的各種物理資料，如聲波，電磁波或核磁共振的深度，吸收度或反射度。
* **預處理：**在對圖像實施具體的電腦視覺方法來提取某種特定的資訊前，一種或一些預處理往往被採用來使圖像滿足後繼方法的要求。例如：
* 二次取樣保證圖像座標的正確
* 平滑去噪來濾除感測器引入的裝置雜訊
* 提高對比度來保證實現相關資訊可以被檢測到
* 調整尺度空間使圖像結構適合局部應用
* **特徵提取：**從圖像中提取各種複雜度的特徵。例如：
* 線、邊緣提取和脊偵測
* 局部化的特徵點檢測如邊角檢測、斑點檢測
: 更複雜的特徵可能與圖像中的紋理形狀或運動有關。
* **檢測 / 分割：**在圖像處理過程中，有時會需要對圖像進行分割來提取有價值的用於後繼處理的部分，例如：
* 篩選特徵點
* 分割一或多幅圖片中含有特定目標的部分
* **進階處理：**到了這一步，資料往往具有很小的數量，例如圖像中經先前處理被認為含有目標物體的部分。這時的處理包括：
* 驗證得到的資料是否符合前提要求
* 估測特定係數，比如目標的姿態、體積
* 對目標進行分類
## 影響視覺系統的要件
* 光源佈局影響大需審慎考量。
* 正確的選擇鏡組，考量倍率、空間、尺寸、失真。
* 選擇合適的攝影機（CCD），考量功能、規格、穩定性、耐用。
* 視覺軟體開發需靠經驗累積，多嘗試、思考問題的解決途徑。
* 以創造精度的不斷提升，縮短處理時間為最終目標。
## 參考文獻
## 外部連結
* Machine Perception of Three-Dimensional Solids - the paper mentioned by Joseph Mundy in the video
* CVonline: The Evolving, Distributed, Non-Proprietary, On-Line Compendium of Computer Vision （頁面存檔備份，存於網際網路檔案館） | [
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