Chapter Two: Quantum Mechanical Model of an Atom Overview

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Quantum theory

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88 Terms

1

Quantum theory

Study of matter at subatomic levels.

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2

Electromagnetic radiation

Wave of oscillating electric and magnetic fields.

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3

Photoelectric effect

Emission of electrons when light hits a material.

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Line spectra

Discrete wavelengths emitted by atoms.

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5

Bohr model

Early atomic model focusing on electron orbits.

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6

Quantum Mechanical model

Explains electron behavior in atoms.

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Quantum numbers

Set of values describing electron properties.

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Atomic orbitals

Regions where electrons are likely found.

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Wavelength (λ)

Distance between corresponding points on waves.

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Frequency (ν)

Number of waves passing a point per time.

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Speed of light (c)

Constant at 3.00 x 10^8 m/s.

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Constructive interference

Waves combine to form a larger wave.

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13

Destructive interference

Waves cancel each other out.

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14

Diffraction

Bending of waves around obstacles.

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15

Subatomic particles

Electrons, protons, and neutrons in matter.

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Reactive elements

Elements that readily undergo chemical reactions.

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Inert elements

Elements that do not readily react.

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18

Helium-Neon laser

Emits red light at 632.8 nm wavelength.

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19

Cell phone frequency

Uses 835.6 MHz for communication.

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20

Periodic table trends

Patterns in element properties based on electron behavior.

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Chemical bonding

Attraction between atoms forming compounds.

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22

Photoelectric effect

Electrons emitted when light strikes metal surface.

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23

Threshold frequency

Minimum frequency for electron emission regardless of intensity.

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24

Work function (Φ)

Energy needed to dislodge an electron from metal.

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Kinetic energy of electrons

KEelectron = hν - Φ, where h is Planck's constant.

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Photon

Quantum of electromagnetic radiation with energy hν.

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Emission spectrum

Unique light pattern emitted by excited atoms.

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28

Line spectra

Non-continuous spectra identifying specific elements.

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Continuous spectrum

Unbroken range of wavelengths, like white light.

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30

Atomic spectroscopy

Technique to identify elements using emission spectra.

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Flame tests

Method to identify elements via color in flames.

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Bohr model

Atomic model with quantized electron orbits.

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Stationary states

Fixed electron orbits around the nucleus.

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34

Energy quantization

Energy levels in an atom are discrete.

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35

De Broglie wavelength

Wavelength associated with a particle's mass and velocity.

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Matter waves

Wavelike behavior of particles proposed by De Broglie.

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37

Electromagnetic radiation

Energy waves including visible light and others.

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38

Energy of a photon

E = hν, where E is energy, h is Planck's constant.

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Energy of 1 mole of photons

Multiply energy of one photon by Avogadro's number.

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40

Laser pulse energy

Total energy contained in a laser pulse.

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Frequency (ν)

Number of cycles per second of a wave.

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Wavelength (λ)

Distance between consecutive peaks of a wave.

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Ionization energy

Energy required to remove an electron from an atom.

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DeBroglie Wavelength

Wavelength associated with a moving particle.

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Electron Diffraction Pattern

Interference pattern showing electron wave nature.

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Wave Duality

Electrons exhibit both wave and particle characteristics.

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Interference Pattern

Pattern formed by overlapping waves.

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Heisenberg's Uncertainty Principle

Position and velocity uncertainties are inversely proportional.

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Complementary Properties

More knowledge of one property reduces knowledge of another.

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Electron Energy

Kinetic energy related to electron position.

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51

Kinetic Energy Formula

KE = ½mv², where m is mass.

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52

Schrödinger Equation

Equation incorporating wave-particle duality of electrons.

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53

Wavefunction (Ψ)

Describes all information about an electron.

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54

Orbital

Region of high probability for finding an electron.

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55

Quantum Numbers

Set of numbers defining electron's state.

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56

Principal Quantum Number (n)

Indicates energy level and size of orbital.

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Energy Level Formula

En = -2.18 × 10⁻¹⁸ J (1/n²).

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Angular Momentum Quantum Number (l)

Determines shape of the orbital.

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s-Orbital

Spherical shape, l = 0.

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p-Orbital

Dumbbell shape, l = 1.

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d-Orbital

Four-leaf clover shape, l = 2.

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f-Orbital

Eight balloons shape, l = 3.

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Multi-Electron Systems

Require approximations to solve Schrödinger's equation.

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High Probability Region

Area where electron is likely to be found.

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Wave Function Squared (Ψ²)

Defines the probability density of finding an electron.

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Magnetic Quantum Number (ml)

Describes orbital orientation; values from -l to +l.

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Spin Quantum Number (ms)

Indicates electron spin; +½ or −½ values.

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Principal Energy Level (n)

Indicates the energy level of an electron.

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Sublevel (l)

Defines shape of orbitals; values from 0 to n-1.

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Orbital

Region where an electron is likely found.

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Subshell

Group of orbitals with same n and l values.

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Energy Level Count

Number of sublevels equals n; orbitals = n².

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Orbital Count in Sublevel

Number of orbitals = 2l + 1.

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Hydrogen Emission Spectrum

Photon energy equals difference between electron states.

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Probability Density (ψ²)

Probability of finding an electron at a point.

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Radial Distribution Function

Total probability of finding an electron at distance r.

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Node

Point where probability density drops to zero.

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s Orbital (l=0)

Spherical shape; one orbital per principal energy state.

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p Orbitals (l=1)

Dumbbell shape; three orbitals oriented along axes.

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d Orbitals (l=2)

Five orbitals; complex shapes, some aligned with axes.

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f Orbitals (l=3)

Seven orbitals; complex shapes, often eight-lobed.

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Phase of an Orbital

Sign of wave function; affects orbital interaction.

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Emission Spectrum Line

Represents energy transition between electron states.

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Electron Relaxation

Electron emits light when transitioning to lower energy.

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Quantum Number Set

n, l, ml define unique orbital characteristics.

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Energy Transition Requirement

Electron must gain specific energy to move states.

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87

Principal Shell

Another term for principal energy level.

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Subshell Type

Also known as subshell; defined by n and l.

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