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Final Exam Terms 2

QuestionAnswer
Wave Nature of Matter (de Broglie, 1925) Electrons have wave properties. Quantized energies explained by: only wavelengths that fit perfectly around the orbit are allowed. His orbit idea was wrong, but electron wave behavior is real.
Davisson and L.H. Germer Dual Slit Experiment (1927) Shot electrons at a nickel crystal. Electrons produced a diffraction/interference pattern. Proves electrons behave like waves (wave–particle duality).
Heisenberg Uncertainty Principle (1927) Cannot know position and velocity of a particle exactly at the same time. Applies significantly only to small particles like electrons. Bohr model violates it because it assumes a precise orbit.
Heisenberg Equation Δx · mΔv ≥ 5.27 × 10⁻³⁵ kg·m²/s. Δx = uncertainty in the position of the particle. m = mass of particle. Δv = uncertainty in the velocity of the particle.
Quantum Mechanical Model (Schrödinger, 1926) Treats electrons as 3D waves. Schrödinger equation gives: Allowed energies & probability of where the electron is likely found. Atomic orbitals = regions of high probability, not paths.
Schrödinger Equation Written as: HΨ = EΨ. Ψ (psi) = wavefunction → describes electron behavior. H = mathematical operator. E = electron energy
Principal Quantum Number (n) Positive integer. Defines the shell; indicates orbital size and energy level. Larger 𝑛 = larger orbital, higher energy, electron farther from nucleus.
Angular Momentum Quantum Number (ℓ) Defines the subshell; determines orbital shape. Values range from 0 to 𝑛 − 1
Magnetic Quantum Number (mℓ) Defines orbital orientation in space. Values range from −ℓ to + ℓ. Number of values = number of orbitals in subshell.
Spin Quantum Number (ms) Describes electron spin direction. Values are +½ (spin-up) or –½ (spin-down).
s orbital (ℓ = 0) Spherical shape; one per shell.
p orbital (ℓ = 1) Dumbbell shape; three per shell (px, py, pz).
d orbital (ℓ = 2) Clover shape (with one donut-shaped variant); five per shell.
f orbital (ℓ = 3) Complex shapes; seven per shell.
Number of Orbital in Subshell Number of mℓ values. Ex; -1, 0, 1 = 3.
Total Number of Orbitals in Shells = n^2
Pauli Exclusion Principle No two electrons can have the same set of four quantum numbers; each orbital holds max two electrons with opposite spins.
Orbital Naming Orbitals are named by shell number 𝑛 and subshell letter (ℓ): e.g., 1s, 2p, 3d, 4f.
Energy vs. Shell Number Energy increases with increasing shell number.
Hydrogen & One Electron Ions → Orbitals in the same shell (same n) have equal energy.
Multi‑Electron Atoms Subshells differ in energy due to electron–electron repulsion (shielding).
Shielding Effect s electrons penetrate closer to nucleus, shielding p and d electrons, raising their energy.
Aufbau Principle Electrons fill lowest‑energy orbitals first.
Orbital Capacity Each orbital holds max two electrons with opposite spins.
Orbital Diagrams Box notation shows electron placement in orbitals. Half up and down arrows. Always do all the up arrows first then down arrows.
Condensed Configurations Use noble gas core, then add remaining electrons (e.g., Mg: [Ne] 3s²).
Valence Electrons Highest occupied shell (main group) or highest s/d orbitals (transition metals). Mainly the s and p. But sometimes s and d if no p.
Core Electrons All other electrons not involved in bonding.
Group Trends Elements in same group share similar valence configurations → similar chemical properties.
Excited Electrons Absorb energy and move to higher orbitals (e.g., Li: 1s²2s¹ → 1s²2p¹).
Transition Metal Exceptions Some elements deviate from expected filling (e.g., Cu actual: [Ar] 4s¹3d¹⁰ vs. expected [Ar] 4s²3d⁹).
Stability Rule Half‑filled or fully filled d subshells are often more stable.
Trend Exceptions become more common in larger period numbers.
Valence Electrons (Main Group) Electrons in the highest occupied shell.
Valence Electrons (Transition Metals) Electrons in highest s and d orbitals after noble gas core.
Core Electrons All other electrons not involved in bonding.
Bonding Role Valence electrons participate in chemical reactions.
Group Pattern Valence configurations follow same pattern → similar chemical properties.
Excitation Highest‑energy electron absorbs energy and moves to higher orbital.
Main Group Ions Gain/lose electrons to achieve filled s + p subshell (noble gas configuration).
Group Charges IA = 1⁺, IIA = 2⁺, IIIA = 3⁺, VA = 3⁻, VIA = 2⁻, VIIA = 1⁻.
Ions Ex: Na Neutral → 1s² 2s² 2p⁶ 3s¹. Na⁺ → 1s² 2s² 2p⁶ ([Ne]). F Neutral → 1s² 2s² 2p⁵. F⁻ → 1s² 2s² 2p⁶ ([Ne]). Fe Neutral → [Ar] 4s² 3d⁶. Fe²⁺ → [Ar] 3d⁶. Fe³⁺ → [Ar] 3d⁵.
Atomic Size Factors Nuclear attraction (protons pull electrons), electron repulsion, and shell number (n).
Effective Nuclear Charge (Zeff) Z – shielding factor; higher Zeff = stronger pull, smaller atom.
Effective Nuclear Charge (Zeff) (Across a Row) Size decreases (more protons increase pull).
Effective Nuclear Charge (Zeff) (Down a Group) Size increases (electrons in higher shells farther from nucleus).
Periodic Trends Definition Trends in physical and chemical properties across rows or down columns of the periodic table.
Periodic Trends Factors Determined by nuclear attraction (protons pulling electrons), electron–electron repulsion, and shell number (n).
Atomic Size Definition Radius of atom = half the distance between nuclei of two bonded atoms.
Atomic Size (Across a Row) Size decreases; more protons increase nuclear pull, outweighing added electron repulsion.
Atomic Size (Down a Group) Size increases; valence electrons occupy higher shells, farther from nucleus.
Ionic Radii Cations Lose electrons; fewer electrons, same nuclear charge → smaller radius than neutral atom.
Cation Charge Effect Higher positive charge = smaller radius (e.g., Fe²⁺ vs. Fe³⁺).
Ionic Radii Anions Gain electrons; more repulsion, same nuclear charge → larger radius than neutral atom.
Ionic Radii (Trend Down Group) Both cations and anions increase in size; valence electrons in larger shells.
Isoelectronic Species Definition Atoms/ions with same electron configuration.
Isoelectronic Species Rule Greater nuclear charge = smaller radius (e.g., Na⁺ vs. Ne).
Isoelectronic Species Practice Na⁺ smaller than F⁻; K⁺ smaller than Cl⁻; Cu²⁺ smaller than Cu⁺, Na smaller than K.
Ionization Energy Definition Energy required to remove an electron from an atom in the gas phase.
First Ionization Energy (IE₁) Removes highest‑energy electron: X + energy → X⁺ + e⁻.
Second Ionization Energy (IE₂) Removes next electron: X⁺ + energy → X²⁺ + e⁻.
Ionization Energy (Trend Across a Row) IE increases; atoms smaller, electrons closer to nucleus, harder to remove.
Ionization Energy (Trend Down a Group) IE decreases; atoms larger, electrons farther from nucleus, easier to remove.
Successive Ionizations IE₁ < IE₂ < IE₃ …; big jump occurs when removing core electrons.
Electron Affinity (EA) Definition Energy change when an atom in gas phase gains an electron: X + e⁻ → X⁻.
Positive Electron Affinity (EA) Energy required; atom less stable.
Negative Electron Affinity (EA) Energy released; atom more stable.
Electron Affinity (EA) Trend More negative EA = atom more readily gains electrons.
Electron Affinity (EA) Exceptions Noble gases and alkaline earth metals resist gaining electrons (would require higher‑energy orbitals).
Metal Properties Shiny, ductile, malleable, good conductors, high boiling points.
Metallic Behavior (Across a Row) Metallic character decreases; reactivity of metals decreases as IE increases.
Metallic Behavior (Down a Group) Metallic character increases; reactivity of metals increases as IE decreases.
Metallic Behavior Reactivity Rule Metals react by losing electrons to form cations.
Ionic Compounds Metal + nonmetal (or polyatomic ion).
Molecular (Covalent) Compounds Nonmetal + nonmetal.
Polyatomic Ions Covalently bonded clusters with overall charge (e.g., NH₄⁺, OH⁻, NO₃⁻, CO₃²⁻, SO₄²⁻, PO₄³⁻, CH₃COO⁻).
Ionic Compounds: Writing Formulas Charge Balance Neutral compounds; sum of charges = 0.
Ionic Compounds: Writing Formulas Ratio Rule Use smallest whole‑number ratio of ions. Examples → Li⁺ + Br⁻ → LiBr; K⁺ + N³⁻ → K₃N; Mg²⁺ + O²⁻ → MgO. Polyatomic Examples → Ca²⁺ + CO₃²⁻ → CaCO₃; Mg²⁺ + OH⁻ → Mg(OH)₂; Ca²⁺ + PO₄³⁻ → Ca₃(PO₄)₂.
Identifying Ions in Formulas KI → K⁺, I⁻. CaBr₂ → Ca²⁺, Br⁻. Li₂CO₃ → Li⁺, CO₃²⁻. Al₂(SO₄)₃ → Al³⁺, SO₄²⁻. CuCl₂ → Cu²⁺, Cl⁻. K₂CO₃ → K⁺, CO₃²⁻. NaCH₃COO → Na⁺, CH₃COO⁻.
Ionic Compounds: Binary Ionic Metal + nonmetal. Name = cation name + anion root + “ide.” Examples → LiBr = lithium bromide; Na₂O = sodium oxide; KF = potassium fluoride; MgCl₂ = magnesium chloride.
Ionic Compounds: Variable Charge Metals Use Roman numeral for cation charge. Examples → CuCl = copper(I) chloride; CuCl₂ = copper(II) chloride; FeO = iron(II) oxide; Fe₂O₃ = iron(III) oxide.
Ionic Compounds: Polyatomic Compounds Name = cation + polyatomic ion. NaNO₃ = sodium nitrate; NH₄F = ammonium fluoride; Ca₃(PO₄)₂ = calcium phosphate; BaCO₃ = barium carbonate; Li₂SO₄ = lithium sulfate; MgSO₃ = magnesium sulfite.
Molecular Compounds: Composition Two nonmetals. Formula cannot be predicted from periodic table.
Molecular Compounds: Naming Rule First element: prefix + name. Second element: prefix + root + “ide.” Use prefixes (mono, di, tri, tetra, etc.). Drop “mono” from first element and vowels to avoid double vowels. Examples: CO = carbon monoxide, N₂O₄ = dinitrogen tetroxide.
Created by: LaurenMaue
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