氢原子能级跃迁波长和频率计算公式

急需答案!!!拜托拉~!!
2025-04-07 02:20:19
推荐回答(1个)
回答1:

1、氢原子能级跃迁波长:En=E1/(n^2) E1≈-13.6eV ε=h*υ c=λ*υ;(ε、E为能量;υ为频率;h为普朗克常量;λ为波长,m、n为量子数,即正整数;c为光速)

2、频率计算公式:h*υ=Em-En ; h*c/λ=E1*[1/(m^2)-1/(n^2)] ;1/λ=[E1/(h*c)]*[1/(m^2)-1/(n^2)] ;

3、能级跃迁(电子跃迁),电子从某一能层(电子层/电子亚层)跃迁到另一能层。其间,电子完成基态、激发态之间的转变。

4、能级跃迁的概念来自于Niels Bohr的氢原子模型。在Bohr-Sommerfeld模型中,氢原子的轨道能级是分立的,电子可以在各个能级间跃迁并放出(或吸收)特定频率的光子,但不能处在两个能级间的状态。这很好地解释了氢原子的发射光谱是分立的而非连续的。


扩展资料:

1、能级公式:En=E1/n2;半径公式:rn=r1·n2

2、在氢光谱中:

n=2,3,4,5,…...向n=1跃迁发光形成赖曼线系;

n=3,4,5,6……向n=2跃迁发光形成巴耳末线系;

n=4,5,6,7……向n=3跃迁发光形成帕邢线系;

n=5,6,7,8……向n=4跃迁发光形成布喇开线系,

3、其中只有巴耳末线系的前4条谱线落在可见光区域内。

4、就是某一固定时间内,通过某一指定地方的波数目,即

5、表达式,可以得到波长和频率的关系式为:

6、式中的传播速度的单位为米。例如,中央人民广播电台第一套节目所用的一个广播频率为639kHz(千赫),电磁波在空气中的传播速度为光速3×108m/s,则可计算得这套节目的无线电波波长为 :

参考资料:百度百科-能级跃迁

参考资料:百度百科-波长

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