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.
