(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A H2 molecule can be approximated by a simple harmonic oscillator having spring constant k = 1.1*10^3 N/m. Find a() the energy levels, and (b) the possible wavelengths of photons emitted when the H2 molecule decays from the third excited state eventually to the ground state.

2. Relevant equations

En = ( n + 1/2 ) h_bar*ω

w^2 = k/m

3. The attempt at a solution

I solved for omega by √(1.1E3/(2*(mass of electron(kg) + mass of proton + mass of neutron))

then multiplied by the eV version of h_bar and got En=(n+1/2).2668 eV

However the book says its En=(n+1/2).755eV

I tried using the books answer to solve for the mass, and got 8.53E-28 kg but I cant see where they would be getting that answer.

However, I tried solving party b assuming the books answer was correct

First I solved for each energy level drop

E_3→1 = (3+1/2).755 - (1+1/2).755 = 1.52 eV corresponding λ = 815.8 nm books answer = 549 nm

E_3→2 = (3+1/2).755 - (2+1/2).755 = .76 eV corresponding λ = 1631.6 nm books λ=821 nm

E_2→1 = (2+1/2).755 - (1+1/2).755 = .76 eV corresponding λ = 1631.58 nm books λ = 1640 nm

please help me solve this problem Im quite confused

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# Homework Help: Basic Quantum mechanics, H2 approximation with SHO

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