Total Energy of Hydrogen-like Atoms Calculator

Calculate Electron Energy Levels in Hydrogen-like Atoms

Enter the number of protons in the nucleus (must be a positive integer).
Enter the electron's energy level (must be a positive integer, e.g., 1, 2, 3...).
Calculation Results

Total Energy (En): eV

Discover the total energy of electrons in hydrogen-like atoms with our easy-to-use online calculator. Input the atomic number (Z) and principal quantum number (n) to instantly determine energy levels, crucial for understanding atomic structure and quantum mechanics. Perfect for students and researchers.

Formula:

En = -13.6 × (Z2 / n2) eV

Where:
En = Total energy of the electron in the n-th orbit (in electronvolts, eV)
Z = Atomic number (number of protons, e.g., 1 for H, 2 for He+)
n = Principal quantum number (electron shell level, e.g., 1 for ground state, 2 for first excited state)

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