HYDROGEN ATOM ENERGY LEVELS


INPUT   DATA EXAMPLE Of Input/Output

Title  

Quantum number of higher energy state, nH  integer 

    

Quantum number of lower energy state, nL  integer 


     Reset


OUTPUT   VARIABLES   &   GRAPHS

Variables   Values   Units
 ♦  Energy level at higher state, E2   eV 
 ♦  Energy level at lower state, E1   eV 
 ♦  Energy of emitted photon, ΔE   eV 
 ♦  Wavelength of photon, λ   nm 

THEORY     FORMULAE

Hydrogen Atom Transitions

When an isolated hydrogen atom falls from one energy level to a lower one, a photon is emitted. This photon carries away the energy lost.

The following equations give the energy at each quantized energy level, and the energy and wavelength emitted by the photon:

        

where
     En = energy at quantum state n (i.e. electron in its nth orbit configuration)
     ΔE = energy released in transition to lower state
     nL = lower quantum state
     nH = higher quantum state
     λ = wavelength of emitted radiation
     R = Rydberg constant = 1.0973731x107 m-1

Tips

    ◊ Use link EXAMPLE Of Input/Output  to demo data entry expectations and results; you may edit & use it as starting point

BIBLIOGRAPHY