1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Hydrogen molecule as a harmonic oscillator

  1. Mar 20, 2007 #1
    1. The problem statement, all variables and given/known data
    The covalent bond between the two protons in the H2 molecule can be modelled by a harmonic spring with a spring constant k = 1100 N/m.

    a. What is the zero point energy of the H2 molecule as a harmonic oscillator?

    b. What is the energy of the first excited state?

    [tex]m_{p}=1.6726*10^-27 kg[/tex]

    [tex]k=1100N/m[/tex]

    2. Relevant equations
    [tex]m=\frac{m_{p}}{2}[/tex]

    [tex]\omega=\sqrt{\frac{k}{m}[/tex]

    [tex]E=(n+\frac{1}{2})\hbar\omega[/tex]

    3. The attempt at a solution

    [tex]\omega=\sqrt{\frac{1200}{8.363*10^-28}[/tex]

    a. [tex]E_{0}=\frac{1}{2}\hbar\omega=6.047J*10^-20J[/tex] this is CORRECT

    b. ??[tex]E_{1}=\frac{3}{2}\hbar\omega=1.814*10^-19J[/tex] ?? this is INCORRECT

    i don't understand why b. is incorrect but a. is correct. i thought the only difference would be the number for n. what am i doing wrong? can anyone help please?
     
    Last edited: Mar 20, 2007
  2. jcsd
  3. Mar 20, 2007 #2

    Astronuc

    User Avatar

    Staff: Mentor

    Try using /tex instead of \tex in [\tex].
     
  4. Mar 20, 2007 #3
    thanks. i don't use that coding often. it should all be fixed now
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Hydrogen molecule as a harmonic oscillator
  1. Molecule of hydrogen (Replies: 4)

  2. Harmonic Oscillators (Replies: 3)

  3. Harmonic oscillator (Replies: 1)

Loading...