Bohr Atomic Model: Energy Level Formula
Formula: Eₙ = -(m_e e⁴)/(8 ε₀² h²) (Z²)/(n²) = -(13.6)/(n²) Z² eV Applicable Conditions: Hydrogen atom or hydrogen-like ions (single-electron systems).
Syllabus path: Modern Physics › Atomic Structure
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
Practice related questions (5) · Start mock exam · Sign up — AI explanations · Membership plans
CSCA Physics Formula Reference
Formula and explanation
Formula: Eₙ = -(m_e e⁴)/(8 ε₀² h²) (Z²)/(n²) = -(13.6)/(n²) Z² eV Applicable Conditions: Hydrogen atom or hydrogen-like ions (single-electron systems). Explanation: Eₙ is the energy of the n -th stationary state, Z is the atomic number. The negative sign indicates the electron is bound. The ground state ( n = 1 ) has the lowest energy.
Related tutorial and examples
Atomic Structure
Modern Physics: Atomic Structure 1. Evolution of Atomic Models Understanding the atom has been a progressive journey. For the CSCA exam, you must distinguish between these three historical models: 1. Thomson's "Plum Pudding Model" (1897): Envisioned the atom as a sphere of positi…
Plan your next CSCA study step
Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.