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Wave-particle duality
Light and electrons act like both waves and particles.
Photon
One packet of light energy.
Wavelength (λ)
Distance between two crests or two troughs.
Frequency (ν)
Number of wave cycles passing a point each second.
Frequency unit
Hertz (Hz) or 1/s.
Wavelength unit
Meters (m); nanometers (nm) are also used.
Electromagnetic radiation
Energy that travels through space and can travel through a vacuum.
Electromagnetic spectrum
All types of electromagnetic radiation arranged by wavelength.
Electromagnetic spectrum order (longest to shortest wavelength)
Radio, microwave, infrared, visible, ultraviolet, X-ray, gamma ray.
Longest wavelength
Radio waves.
Shortest wavelength
Gamma rays.
Visible light range
400 nm (purple) to 700 nm (red).
Longest visible wavelength
Red.
Shortest visible wavelength
Purple/violet.
Speed of light
3.00 × 10⁸ m/s.
Speed of electromagnetic radiation
All electromagnetic radiation travels at the same speed in a vacuum.
Wavelength and frequency
Inverse relationship: wavelength increases, frequency decreases.
Frequency and photon energy
Direct relationship: frequency increases, photon energy increases.
Wavelength and photon energy
Inverse relationship: wavelength increases, photon energy decreases.
Wave equation
c = λν.
Energy equation
E = hν.
Planck's constant
6.626 × 10⁻³⁴ J·s.
Ground state
Lowest-energy arrangement of electrons.
Excited state
Electron arrangement with more energy than the ground state.
Absorption
An atom takes in energy; an electron moves higher.
Emission
An atom releases a photon; an electron moves lower.
Energy-level diagram
Shows the allowed energy levels of electrons.
Upward arrow
Absorption; energy increases.
Downward arrow
Emission; energy decreases.
Energy gap
Difference between two allowed energy levels.
Continuous spectrum
An uninterrupted range of wavelengths.
Line spectrum
Only certain wavelengths, shown as separate lines.
Atomic emission spectrum
Bright lines produced by excited atoms in a low-density gas.
Spectral line
Represents a photon with a particular wavelength.
Flame test
Uses emitted colors to help identify certain elements.
Bohr model
Electrons are shown in fixed circular orbits with specific energies.
Bohr model limitation
Fixed circular paths do not fully describe electrons.
Wave-like behavior of electrons
Electrons produce diffraction and interference patterns.
Heisenberg uncertainty principle
Exact position and exact momentum cannot both be known at the same time.
Quantum mechanical model
Uses math to describe electron energies and where electrons are likely to be found.
Schrödinger
Developed an equation used in the quantum mechanical model.
Orbital
A 3D region where an electron is most likely to be found.
Pauli exclusion principle
Each orbital holds a maximum of two electrons with opposite spins.
Principal energy level
Main region around the nucleus; labeled n = 1, 2, 3, etc.
Sublevel
Division of an energy level labeled s, p, d, or f.
Energy level structure
Energy level → sublevel → orbital.
Number of sublevels
The number of sublevels equals the principal energy level number (n).
Sublevel energy order
Within the same energy level: s, p, d, f.
s sublevel
1 orbital; holds 2 electrons.
p sublevel
3 orbitals; holds 6 electrons.
d sublevel
5 orbitals; holds 10 electrons.
f sublevel
7 orbitals; holds 14 electrons.
First level with s
n = 1.
First level with p
n = 2.
First level with d
n = 3.
First level with f
n = 4.
Aufbau principle
Fill lower-energy sublevels first.
Hund's rule
Put one electron in each orbital before pairing.
Pauli exclusion principle
Maximum of two electrons per orbital with opposite spins.
Maximum electrons in level 1
2.
Maximum electrons in level 2
8.
Maximum electrons in level 3
18.
Maximum electrons in level 4
32.