9. Quantum Mechanics
Bohr Equation
2PRACTICE PROBLEM
The Bohr model of atomic structure is described by the following equation
![](https://lightcat-files.s3.amazonaws.com/problem_images/43efb32fd154214d-1670000261192.jpg)
where Z is the charge on the nucleus, a0 is the Bohr radius, r is the radius of the orbit, and n is a positive integer similar to the principal quantum number. Based on this model, electrons are bound to orbit a nucleus at specific distances. Bohr concluded that the energy level E of an electron in a certain orbit is
![](https://lightcat-files.s3.amazonaws.com/problem_images/958cf389fcdace33-1670000265914.jpg)
where e is the electron's charge.
Illustrate the energy difference between any two energy levels by creating your own equation and comparing it to the Balmer-Rydberg equation.
The Bohr model of atomic structure is described by the following equation
where Z is the charge on the nucleus, a0 is the Bohr radius, r is the radius of the orbit, and n is a positive integer similar to the principal quantum number. Based on this model, electrons are bound to orbit a nucleus at specific distances. Bohr concluded that the energy level E of an electron in a certain orbit is
where e is the electron's charge.
Illustrate the energy difference between any two energy levels by creating your own equation and comparing it to the Balmer-Rydberg equation.