Energy of an atom

1
Energy of an atom

• Bohr proposed to calculate energy you use the
  following equation
• However, we also know that
• Using substitutions, we get
• Simplifying this equation, we get

2
Energy of an atom (cont.)

• we also know that
• Substituting, we come up with
• Simplifying this, our final equation becomes
• In this equation, m represents the mass of 1
  Hydrogen atom, z the atomic number, e that charge
  of an electron, n as the energy level, and
  h6.62610-34 js/2p.

3
Energy Of an Electron an Photon

• Using the equation
• we can obtain the
• Energy of an electron in a specific energy level
  by substituting that level for n in the equation.
  
• In a 3 energy level atom, the electron can emit a
  photon of 3 different energies, E1-E2, E1-E3, and
  E2-E3. These represent the changes in energy
  between levels. Actual energies can be scene in
  the table.

Energy of eletron(j) N (energy level)
5.2310-67 1
2.6110-67 2
1.7410-67 3
Energy of a photon (j) Energy level
2.6210-67 E1-E2
3.4910-67 E1-E3
8.7010-68 E2-E3