Bohr Model Of Atom Topic

Shortcut Methods and Tricks to Solve Bohr’s Model of Atom Numericals:#

Radius of an electron orbit (r):

• Formula: r = (n²/Z) × 0.529 Å

Energy of an electron orbit (E):

• Formula: E = -13.6 eV × Z²/n²

Wavelength of emitted radiation (λ):

• Formula: λ = (1/R) × [1/n₁² - 1/n₂²]

Ionization energy (IE):

• Formula: IE = 13.6 eV × Z²/n²

Rydberg constant (R):

• Formula: R = 1.0974 × 10⁷ m⁻¹

Quantum numbers (n, l, ml, ms):

• n: Principal quantum number (positive integer)
• l: Azimuthal quantum number (0 to n-1)
• ml: Magnetic quantum number (-l to +l)
• ms: Spin quantum number (+1/2 or -1/2)

Electron configuration:

• Aufbau principle: Electrons fill orbitals in the order of increasing energy.
• Pauli exclusion principle: No two electrons can have the same set of quantum numbers.
• Hund’s rule: Electrons in the same orbital have the same spin if possible.

Atomic spectra:

• The wavelengths of the lines in the atomic spectra can be calculated using the Rydberg formula.
• The series of hydrogen spectrum are named after the scientists who discovered them: Lyman, Balmer, Paschen, Brackett, and Pfund.