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energy hydrogen-like atom ground state –122.4 eV

by 영원파란 2023. 7. 8.

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energy hydrogen-like atom ground state –122.4 eV

 

 

The energy of a hydrogen-like atom (or ion )

in its ground state is –122.4 eV. It may be

A. hydrogen atom

B. He^+

C. Li^2+

D. Be^3+

 

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En = –R_H (Z^2 / n^2)

 

En = –13.6 eV × (Z^2 / n^2)

( 참고 https://ywpop.tistory.com/14147 )

 

 

 

ground state ---> n = 1 이므로,

–122.4 = –13.6 × (Z^2 / 1^2)

 

122.4 = 13.6 × Z^2

 

Z^2 = 122.4 / 13.6

 

Z = (122.4 / 13.6)^(1/2)

= 3

 

 

 

답: C. Li^2+

 

 

 

 

[키워드] hydrogen-like atom 기준문서

 

 

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