Bohr Model and Discrete Atomic Energy Levels

Bohr Model and Discrete Atomic Energy Levels

What is it?

The Bohr model describes the hydrogen atom using discrete allowed electron energy levels rather than a continuous range of energies.

In simple words

• Atomic energies are discrete rather than continuous.

Full school-level explanation

The Bohr model describes the hydrogen atom using discrete allowed electron energy levels rather than a continuous range of energies.

Quantized Angular Momentum

Bohr proposed that an electron in hydrogen can occupy certain stationary states. In the historical Bohr model: mvr = nħ where: `n=1,2,3,...`

Energy Levels of Hydrogen

The allowed energy levels are: Eₙ = −13.6eV/n² For: `n=1` E₁=−13.6eV This is the ground state. As `n` increases: energy becomes less negative. At: `n→∞` E→0 corresponding to the ionization limit.

Transitions

When an electron changes energy level: ΔE = E_f−E_i A photon is emitted or absorbed with: |ΔE|=hf Emission: electron moves to lower energy. Absorption: electron moves to higher energy.

Formula / Key Relation

**Eₙ=−13.6eV/n²** **|ΔE|=hf=hc/λ**

Remember

• mvr = nħ
• Eₙ = −13.6eV/n²
• E₁=−13.6eV
• E→0
• ΔE = E_f−E_i
• |ΔE|=hf
• Eₙ=−13.6eV/n²
• |ΔE|=hf=hc/λ

Deeper understanding

Go deeper on Bohr Model and Discrete Atomic Energy Levels: connect the definition to reasons, relationships, exceptions, and exam wording.

Common mistakes

Exam focus

Hydrogen

Exam focus

Quick revision

• mvr = nħ
• Eₙ = −13.6eV/n²
• E₁=−13.6eV
• E→0
• Quantized Angular Momentum: Bohr proposed that an electron in hydrogen can occupy certain stationary states. In the historical
• Energy Levels of Hydrogen: The allowed energy levels are: Eₙ = −13.6eV/n² For: `n=1` E₁=−13.6eV This is the ground

For long answers on Bohr Model and Discrete Atomic Energy Levels: define clearly → explain the main parts → give one example → state one exam caution.