Problem: Before quantum mechanics was developed, Johannes Rydberg developed an equation that predicted the wavelengths (λlambda) in the atomic spectrum of hydrogen: 1/λ = R(1/m2 - 1/n2). In this equation R is a constant and m and n are integers. Use the quantum-mechanical model for the hydrogen atom to derive the Rydberg equation.

🤓 Based on our data, we think this question is relevant for Professor Holton's class at UCI.

FREE Expert Solution
  • For an H atom, the energy of an electron in level n is represented as:

  • An electron jumping from higher energy level f to lower energy level i, the energy released by atom will appear as:

  • Use the equation of En to find the ΔE.

View Complete Written Solution
Problem Details

Before quantum mechanics was developed, Johannes Rydberg developed an equation that predicted the wavelengths (λ) in the atomic spectrum of hydrogen: 1/λ = R(1/m2 - 1/n2). In this equation R is a constant and m and n are integers. Use the quantum-mechanical model for the hydrogen atom to derive the Rydberg equation.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Bohr and Balmer Equations concept. If you need more Bohr and Balmer Equations practice, you can also practice Bohr and Balmer Equations practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Holton's class at UCI.