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.

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Presentation transcript:

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

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 ħ=6.626*10^-34 j*s/2π.

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) 5.23*10^-67 1 2.61*10^-67 2 1.74*10^-67 3 Energy of a photon (j) Energy level 2.62*10^-67 E1-E2 3.49*10^-67 E1-E3 8.70*10^-68 E2-E3