再訪廣島
【德】麥考·帕默 著
郎倫友 譯
第二章 電離輻射和放射性入門知識
這一章隻是解釋一些基本的科學概念,這些概念在以後的章節中都用得著;它並不是對聲稱投到日本的是原子彈進行任何具體研究。有必備的科學基礎的讀者跳過這一章也無妨。
2.1 原子和亞原子粒子
放射性涉及單個原子的構件塊,所以它就是我們導覽的起點。每個原子都有一個核,這個核含有一個或多個質子和0個或多個中子,(圖2.1)而且還有一個殼層,這個殼層包括若幹個電子。原子核裏質子的數量決定該原子所屬的化學元素。然而給定的化學元素的原子可能因為中子的數量不同而不同;相同元素的原子並擁有相同數量的中子,屬於同種同位素。例如,氫有三種同位素,每一種都有一個質子。氕是最多的氫同位素,沒有中子;氘和氚分別有一個和兩個中子。擁有相同數量的質子和中子的原子核也被稱為同一種核素,(腳注1)這個術語是“同位素”的同義詞,但專門在討論原子核的性質時使用,而不是用在具體的化學元素上。例如圖2.1所表示的三種不同的核素。
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)
Hydrogen:氫;molecular hydrogen:氫分子;helium:氦;lithium:鋰。
圖2.1 原子結構的波爾模式。原子由質子(藍色)、中子(橙色)和電子(紅色)組成。質子和中子在原子核內;它們的質量相似,但隻有原子核帶有正電荷。前綴的下標代表質子數,上標是質子與中子(即核子)之和。電子帶負電荷,在原子殼裏。不管是在單原子(如氦)內還是在由兩個或更多原子組成的分子(如氫氣)內,電子都喜歡結對。詳見正文。
用來表示一個核素組成的簡單符號常常是采用化學元素符號,例如用H表示氫,用下標前綴表示質子數,上標前綴表示核子數。我們以此來指出質子和中子的數量。例如氫的同位素分別是 , 和 ;而鈾的兩個主要的同位素是 和 。由於質子數在元素中是已知的,相應的前綴常常被省略,例如,用235U而不用 ;或用3H而不用 。
質子和中子在質量上相近,但電荷(庫侖)不同。中子不帶電,每個質子帶一個正電荷。質子電荷的大小與電子電荷大小相等,然而後者的電荷是負的。一般情況下,原子核中的質子數等於原子殼層中的電子數,該原子沒有靜電荷。另一方麵,如果原子的電子數量不足,或者有多餘的電子,它就會帶正的或負的靜電荷。帶電狀態的原子(還有分子)稱作離子。
【腳注】
1,這個核素定義沒有考慮某些與原子核的不同能量狀態有關的更細微的區別。在這一章裏將有許多簡化處理的實例。這一章的目的是盡快入門,而不是全麵的參考資料。
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