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Questions and Answers
What is band theory?
What is band theory?
Connected to MO theory, it describes a continuum of overlapping orbitals, where the lowest energy orbitals have no nodes between neighboring atoms, and the highest energy orbitals have nodes between every pair of neighbors. The energy separation between neighboring orbitals approaches zero, creating a near-continuous energy spectrum.
What is the s band in band theory?
What is the s band in band theory?
Forms between s orbitals.
What is the p band in band theory?
What is the p band in band theory?
Forms between p orbitals.
How do conductors relate to band theory?
How do conductors relate to band theory?
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What characterizes insulators in band theory?
What characterizes insulators in band theory?
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Which types of semiconductors are mentioned?
Which types of semiconductors are mentioned?
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What is ionization energy?
What is ionization energy?
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What is the periodic trend of ionization energy?
What is the periodic trend of ionization energy?
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Why is a half filled subshell so stable?
Why is a half filled subshell so stable?
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What is exchange interaction?
What is exchange interaction?
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What is pairing energy?
What is pairing energy?
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Is it easier to ionize high energy or low energy electrons?
Is it easier to ionize high energy or low energy electrons?
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What happens when a 3d series metal is ionized?
What happens when a 3d series metal is ionized?
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What is lanthanide contraction?
What is lanthanide contraction?
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What are lanthanides?
What are lanthanides?
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What do Slater's rules tell us?
What do Slater's rules tell us?
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What is shielding?
What is shielding?
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What is penetration in atomic orbitals?
What is penetration in atomic orbitals?
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What is electron affinity?
What is electron affinity?
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What does electronegativity measure?
What does electronegativity measure?
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What is polarizability?
What is polarizability?
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Why do we use the hydrogen system approximation?
Why do we use the hydrogen system approximation?
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What is the formula for the energy of a hydrogen orbital?
What is the formula for the energy of a hydrogen orbital?
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In which units can energy be expressed?
In which units can energy be expressed?
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What does quantum number N represent?
What does quantum number N represent?
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What does quantum number L represent?
What does quantum number L represent?
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What does quantum number Ml represent?
What does quantum number Ml represent?
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What does quantum number Ms represent?
What does quantum number Ms represent?
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What is radial wavefunction?
What is radial wavefunction?
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What is a radial distribution function?
What is a radial distribution function?
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What is the Bohr radius?
What is the Bohr radius?
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What orbitals correspond to l=0 through l=4?
What orbitals correspond to l=0 through l=4?
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What is the building up principle/Hund's rule?
What is the building up principle/Hund's rule?
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What is the Pauli exclusion principle?
What is the Pauli exclusion principle?
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What does VSEPR stand for?
What does VSEPR stand for?
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What is the relative repulsion strengths in VSEPR?
What is the relative repulsion strengths in VSEPR?
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What is valence bond theory?
What is valence bond theory?
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How is hybridization used in valence bond theory?
How is hybridization used in valence bond theory?
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What is the effect of a lone pair on geometry?
What is the effect of a lone pair on geometry?
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What is molecular orbital theory?
What is molecular orbital theory?
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What are MO theory assumptions?
What are MO theory assumptions?
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What is orbital approximation?
What is orbital approximation?
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What is a linear combination of atomic orbitals?
What is a linear combination of atomic orbitals?
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What occurs in H2 and H2-like molecules?
What occurs in H2 and H2-like molecules?
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What is the energy contributing in Li2 through N2?
What is the energy contributing in Li2 through N2?
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Why can't Ne2 exist?
Why can't Ne2 exist?
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What is H-X interaction?
What is H-X interaction?
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What is X-Y interaction?
What is X-Y interaction?
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What are the relative energies of molecular orbitals?
What are the relative energies of molecular orbitals?
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What is a polyatomic MO?
What is a polyatomic MO?
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What is LCAO notation?
What is LCAO notation?
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What are LCAO energies?
What are LCAO energies?
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What is bond order?
What is bond order?
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How to calculate bond order?
How to calculate bond order?
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How to assign bonding character in bonding orbitals?
How to assign bonding character in bonding orbitals?
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How to assign bonding character in nonbonding orbitals?
How to assign bonding character in nonbonding orbitals?
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How to assign bonding character in antibonding orbitals?
How to assign bonding character in antibonding orbitals?
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What are HOMO interactions?
What are HOMO interactions?
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What are LUMO interactions?
What are LUMO interactions?
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Why are HOMO/LUMO important?
Why are HOMO/LUMO important?
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What is paramagnetism?
What is paramagnetism?
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What is metallic bonding?
What is metallic bonding?
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What is ionic bonding?
What is ionic bonding?
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What is a lattice in crystallography?
What is a lattice in crystallography?
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What is a unit cell?
What is a unit cell?
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What are the 7 types of crystal systems?
What are the 7 types of crystal systems?
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What is a primitive unit cell?
What is a primitive unit cell?
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What is body-centered structure?
What is body-centered structure?
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What is face-centered structure?
What is face-centered structure?
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What is close packed structure?
What is close packed structure?
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What is coordination number?
What is coordination number?
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What is cubic close packed?
What is cubic close packed?
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What is face-centered cubic structure?
What is face-centered cubic structure?
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What is a hole in crystallography?
What is a hole in crystallography?
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What is polymorphism?
What is polymorphism?
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What is an alloy?
What is an alloy?
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What is a substitutional solid solution?
What is a substitutional solid solution?
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What is an interstitial solid solution?
What is an interstitial solid solution?
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What is lattice enthalpy?
What is lattice enthalpy?
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What is the Born-Haber cycle?
What is the Born-Haber cycle?
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What is a van der Waals interaction?
What is a van der Waals interaction?
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What is a non-stoichiometric compound?
What is a non-stoichiometric compound?
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What is a conductor?
What is a conductor?
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What is a semiconductor?
What is a semiconductor?
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What is an insulator?
What is an insulator?
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What is a superconductor?
What is a superconductor?
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What is a band in solid-state physics?
What is a band in solid-state physics?
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What is a band gap?
What is a band gap?
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What is an s/p band?
What is an s/p band?
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What is the fermi level?
What is the fermi level?
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What are the parameters for a substitutional solid solution?
What are the parameters for a substitutional solid solution?
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What are the parameters for an interstitial solid solution?
What are the parameters for an interstitial solid solution?
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What is the most stabilizing influence on a solid?
What is the most stabilizing influence on a solid?
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What effect does high lattice enthalpy have on solid stability?
What effect does high lattice enthalpy have on solid stability?
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What effect does low lattice enthalpy have on solid stability?
What effect does low lattice enthalpy have on solid stability?
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What is the Born-Mayer equation?
What is the Born-Mayer equation?
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Why does solubility depend on lattice enthalpy?
Why does solubility depend on lattice enthalpy?
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What is solvent leveling?
What is solvent leveling?
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Study Notes
Ionization Energy
- Energy required to remove the least tightly bound electron from a neutral atom in the gas phase.
- Periodic trend shows that ionization energy is highest at the top right of the periodic table, where smaller atoms have tighter electron hold.
Stability of Half-Filled Subshells
- Half-filled subshells maximize stabilizing interactions and minimize destabilizing electron interactions.
Electron Interaction Concepts
- Exchange interaction causes stabilizing effects from electrons pairing in degenerate orbitals with parallel spins.
- Pairing energy is a destabilizing factor, associated with electron-electron repulsion in filled orbitals.
Ionization of Electrons
- High energy electrons are easier to ionize; they require less energy input due to their initial higher energy state.
- The first electron ionized from a 3d series metal comes from the 4s orbital.
Lanthanides and Atomic Properties
- Lanthanide contraction refers to the reduction in atomic radius across the lanthanide series, contrary to general periodic trends.
- Lanthanides (elements 57-71) demonstrate the first appearance of f orbitals, which poorly shield additional electrons increasing effective nuclear charge (Zeff).
Effective Nuclear Charge and Shielding
- Slater's rules determine Zeff using the formula: Zeff = Z - sigma, where sigma accounts for shielding electrons.
- Shielding is the reduction in nuclear attraction due to inner electrons, while penetration describes how higher energy electrons can occupy lower energy shells.
Electron Affinity and Electronegativity
- Electron affinity measures the energy difference between a neutral gaseous atom and its corresponding anion, with a more positive value indicating greater stability.
- Electronegativity is the atom's ability to attract electrons in a compound, with fluorine being the most electronegative element.
Quantum Mechanics and Orbitals
- Quantum numbers describe various electron properties:
- Principal quantum number (N) defines energy and size.
- Angular momentum quantum number (L) determines the shape of orbitals.
- Magnetic quantum number (Ml) indicates orientation of the orbital.
- Spin magnetic quantum number (Ms) describes electron spin.
- Radial wavefunctions define orbitals, while radial distribution functions indicate electron probability at varied distances from the nucleus.
Molecular Structure Theories
- VSEPR theory predicts molecular geometries based on minimizing electron pair repulsions.
- Valence bond theory explains bonding via atomic orbital overlaps, with hybridization accounting for equivalent bonds exceeding valence orbitals.
- Molecular orbital (MO) theory applies to polyatomic molecules, treating electrons as delocalized within molecular orbitals.
Bonding Characteristics
- Bond order reflects overall bond strength, calculated using the formula (bonding - antibonding) / 2.
- Nonbonding, bonding, and antibonding orbitals differ in energy relative to atomic orbitals.
Conductivity and Band Theory
- Conductors have partially filled bands allowing easy electron promotion, while insulators feature filled bands with significant energy gaps hindering electron transitions.
- Band theory addresses overlapping atomic orbitals, yielding a continuous energy spectrum affecting conductivity based on band filling and electron mobility.
Crystal Structures and Solutions
- Crystals are defined by their lattice and unit cell structures, with various types including body-centered, face-centered, and primitive unit cells.
- Solid solutions form when different metals substitute or occupy interstitial sites within a crystal lattice, influenced by atomic radii and crystal structure compatibility.
Lattice Properties and Enthalpy
- Lattice enthalpy indicates the strength of ionic solids and is critical in determining solubility.
- High lattice enthalpy leads to increased stability in solids, while low lattice enthalpy indicates instability.
Summary of Types
- Distinctions among conductors, semiconductors, and insulators based on their electronic properties.
- Semiconductors can be intrinsic or extrinsic (n-type, p-type), with varying conductivity behaviors influenced by temperature changes.
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Description
Test your knowledge on ionization energy and electron interactions in atomic structures. This quiz covers concepts such as the stability of half-filled subshells and the ionization of electrons, particularly in lanthanides and transition metals. Evaluate your understanding of periodic trends and electron behavior.