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Wavelength (λ)
distance between crests (m).
Frequency (ν)
cycles per second (Hz, s⁻¹).
Speed (c)
3.00 × 10⁸ m/s.
c = λν
Formula relating speed, wavelength, and frequency.
E = hν
Energy formula where h = 6.626 × 10⁻³⁴ J·s.
E = hc / λ
Another formula for energy in terms of wavelength.
Emission Spectra
Atoms emit unique spectral lines when excited electrons fall back down → acts as a fingerprint for each element.
Green aurora light
Example with λ = 558 nm → E ≈ 3.56 × 10⁻¹⁹ J.
Energy levels (n)
correspond to periods on periodic table.
Sublevels
s, p, d, f.
Orbitals
s = 1, p = 3, d = 5, f = 7.
Filling Rules
Aufbau principle - fill lowest energy first.
Pauli exclusion
2 e⁻ per orbital, opposite spins.
Hund's rule
fill orbitals singly before pairing.
Max Electrons
s = 2, p = 6, d = 10, f = 14.
Oxygen (Z=8)
Example: 1s² 2s² 2p⁴.
Noble Gas Shorthand
Use the nearest noble gas in brackets.
Stability
Full sublevel (s², p⁶, d¹⁰) = most stable.
Half-full
s¹, p³, d⁵ = also stable.
Exceptions
Chromium: [Ar] 4s¹ 3d⁵ (half-filled d).
Copper
[Ar] 4s¹ 3d¹⁰ (full d).
Excited Electrons
Electrons absorb energy and jump to higher orbitals.
Valence Electrons
Outermost electrons = determine reactivity.
Octet rule
stable with 8 e⁻ (He stable with 2).
Lewis Dot Structures
Show only valence e⁻ as dots.
Ions
Cations (metals): lose e⁻, positive; Anions (nonmetals): gain e⁻, negative.
Isoelectronic
ions with the same electron configuration.
Naming Cations
element + "ion" (Ca²⁺ = calcium ion).
Naming Anions
element root + "-ide" (Cl⁻ = chloride).
Multivalent Metals
Some metals (esp. transition) form multiple charges.
Roman Numerals in Compounds
Indicated with Roman numerals.