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Newton’s theory
tiny particles of light, a rainbow of colors combined
Young’s theory
interference → wave behavior.
Maxwell
electromagnetic waves, predicting light behavior as waves.
Wavelength (λ)
distance between peaks (m, nm)
Frequency (ν)
cycles per second (Hz).
Amplitude
half distance between peak & trough.
Speed of light
c = 2.998 × 10^8 m/s.
Electromagnetic spectrum
visible light is a small part; color corresponds to wavelength/frequency.
Planck’s theory
Energy is quantized (like stairs, not ramps).
planck’s constant
h = 6.626 × 10^–34 J·s
Finding frequency (f) from wavelength (λ)
Use the equation f = c/λ
.
Finding wavelength (λ) from frequency (f)
Use the equation λ = c/f
Finding energy (E) from frequency (f)
Use the equation E = hf
photoelectric effect
Shows electrons absorb discrete photon energy.
bohr model
electrons orbit the nucleus in quantized energy levels, absorbing or emitting photons when moving between them.
energy quantization in bohr model
-2.178 × 10–18
Spectral lines
Bright or dark lines showing the specific wavelengths of light emitted or absorbed when electrons change energy levels.
de Broglie hypothesis:
Particles (like electrons) have wave properties.
λ = h/(mu), where m = mass, u = velocity.
Davisson-Germer experiment
confirmed electrons behave like waves.
Principal quantum number (n)
Energy level / shell.
n = 1, 2, 3…
Larger n = higher energy, farther from nucleus.
Angular momentum quantum number (ℓ)
Defines orbital shape.
Values: 0 to n – 1.
ℓ = 0 → s (sphere), ℓ = 1 → p (dumbbell), ℓ = 2 → d, ℓ = 3 → f.
Magnetic quantum number (mℓ)
Orientation of orbital.
Values: –ℓ … 0 … +ℓ.
Number of orbitals in subshell = 2ℓ + 1.
Example: p (ℓ = 1) → mℓ = –1, 0, +1 → 3 orbitals.
Spin quantum number (ms)
Electron spin = +½ or –½.
Pauli Exclusion Principle:
No two electrons can have the same 4 quantum numbers.
Max electrons per orbital = 2 (opposite spins).
Max electrons per subshell
s: 2
p: 6
d: 10
f: 14