• The Lyman series involves transitions where an atom moves to its ground state.

• Balmer and Paschen series: Transitions to n=2 and n=3 states.

• Brackett series: Transitions to n=4 from higher states.

Real-world example: Imagine an elevator. Each floor is a different energy level (n). The elevator moving between floors is like electrons transitioning between energy levels. The elevator stopping at ground floor? That's the Lyman series!

• Bohr model links with Rydberg & Balmer formulas.

• Derived equation for energy of an electron in nth energy level
• E = \(\frac{ -13.6}{n^2}\) eV

Fun Fact: Think of the Bohr model as a puzzle. Each piece (or equation) connects with another, building a bigger picture of the atomic world!

• Angular momentum = moment of inertia × angular speed 

• For a particle in orbit: L = mvr [where v = rω]

For Teens: It's like spinning a ball on a string. The speed of the spin and the length of the string determine its angular momentum.

• Every particle has wave-like properties.

• De Broglie wavelength (λ) relates to momentum (p) of a particle: λ = \(\frac hp\)

Fun Analogy: Picture a skateboarder (particle) cruising along. The trails left behind are like the de Broglie wavelength!

• Electron orbits must match an integer number of de Broglie wavelengths.

• For n = 2, wavelength = \(\frac {circum ference}{2}; for n = 3, \frac {circum ference}{3},\) etc.

  Think:
  If you're looping a song, it should complete perfectly as you finish a lap around a track!