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Exam 2 Preparation Notes
Page 1: Quantum Mechanics
Key Concept: Energy calculations related to quantum states
Formula: ( E = -2.18 imes 10^{-18} \text{ J} \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) )
Initial state: ( n = 3 )
Final state: ( n = 1 )
Energy change: ( \Delta E = E_f - E_i ) and can be calculated using the above formula.
Important Observations:
Energy values become more negative as you go to lower n levels.
Change in energy is positive when moving to higher energy levels and negative when moving to lower.
Page 2: Quantum Numbers
Quantum Numbers:
Principal quantum number (n): Represents energy level and size of orbital.
Azimuthal quantum number (l): Defines the shape of the orbital.
Magnetic quantum number (m): Indicates orientation of the orbital.
Spin quantum number (s): Represents the electron's spin.
Pauli Exclusion Principle:
No two electrons in an atom can have the same set of four quantum numbers.
Aufbau Principle:
Electrons fill orbitals in order of increasing energy.
Page 3: Electron Configuration
Electron Configurations:
Example of Argon: ( 1s^2 2s^2 2p^6 3s^2 3p^6 )
Includes total number of protons/electrons in neutral atoms.
Cations and Anions:
Cations: Positively charged (loss of electrons).
Anions: Negatively charged (gain of electrons).
Page 4: Periodic Trends
Valence Electrons:
Electrons in the outermost shell; dictate chemical properties.
Noble Gases: Inert and stable due to complete valence shells.
Core Electrons: Inner shell electrons, not involved in bonding.
Page 5: Transition Metals
Transition and inner transition metals have unique configurations.
Example for Chromium: ( [Ar] 4s^1 3d^5 )
Example for Copper: ( [Ar] 4s^1 3d^{10} )
Page 6: Charges and Effective Nuclear Charge
Cation (+) and Anion (-) definitions
Effective Nuclear Charge (Z_eff): Calculated as ( Z - S ) (Z = atomic number, S = core electrons).
Page 7: Atomic Properties
Trends in the Periodic Table:
Atomic radius increases down a group and decreases across a period.
Ionization energy increases across a period and decreases down a group.
Electron affinity generally more negative across a period.
Page 8: Bonding Types
Ionic vs Covalent Bonds:
Ionic bonds involve electron transfer (metal + non-metal).
Covalent bonds involve electron sharing (non-metal + non-metal).
Examples of molecular formulas vs empirical formulas:
Molecular: C4H8, Empirical: C2H4
Page 9: Ionic Compounds
Ionic compounds are typically salts, formed from metal cations and non-metal anions.
Formula writing involves balancing charges.
Page 10: Naming and Formulas
Learn common names for cations/anions and how to name ionic compounds using roman numerals for transition metals.
Example: Iron (III) chloride for ( FeCl_3 )
Page 11: Oxyanions and Polyatomic Ions
Important oxyanions: Nitrate (NO3^-), Sulfate (SO4^2-), and Phosphate (PO4^3-).
Page 12: Salts and Electrolytes
Ionic compounds act as strong electrolytes, while molecular compounds are typically weak electrolytes.
Page 13: Hydrated Ions
Hydrated ionic compounds contain water in their crystalline structure ( i.e. ( BaCl_2 \cdot 2H_2O )).
Page 14: Chemical Calculations
Review how to calculate molecular weights and mass percent composition of compounds.
Page 15: Mass Percent Composition
Use formula: ( , %X = \left( \frac{mass \ of \ X}{mass \ of \ compound} \right) \times 100 % )
Page 16: Types of Bonds and Polarity
Bonds can be classified as ionic, covalent, and metallic based on how electrons are shared or transferred.
Electronegativity (EN) is a key factor in determining bond polarity.
Page 17: Lewis Dot Structures
Construct Lewis Dot Structures showing valence electrons and bonding.
Page 18: Formal Charges and Expanded Octets
Calculate formal charges to assess stability and resonance structures.
Page 19: Resonance Structures
Understand that resonance structures denote the same connectivity but differ in electron placement.
Page 20: Polyatomic Ions and Naming
Recognize common polyatomic ions and know how to calculate formal charges in compounds.