Atomic Properties and Ionization Energy Quiz
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Questions and Answers

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?

Forms between s orbitals.

What is the p band in band theory?

Forms between p orbitals.

How do conductors relate to band theory?

<p>Conductors have partially filled bands at low energy levels which allow electrons to be easily promoted. Vigorous vibrations due to thermal energy can disrupt the band structure and decrease conductivity.</p> Signup and view all the answers

What characterizes insulators in band theory?

<p>Insulators have filled bands with a large energy differential separating them, where the filled band is called the valence band, and the next higher band is called the conduction band.</p> Signup and view all the answers

Which types of semiconductors are mentioned?

<p>Extrinsic semiconductor</p> Signup and view all the answers

What is ionization energy?

<p>Energy required to remove the least tightly bound electron from a neutral atom in the gas phase.</p> Signup and view all the answers

What is the periodic trend of ionization energy?

<p>Highest at top right, smaller electron means harder to remove.</p> Signup and view all the answers

Why is a half filled subshell so stable?

<p>It serves to maximize the stabilizing interactions while minimizing the destabilizing interactions among electrons.</p> Signup and view all the answers

What is exchange interaction?

<p>Pie, stabilizing, result of electrons pairing in degenerate orbitals with parallel spin.</p> Signup and view all the answers

What is pairing energy?

<p>Destabilizing, coulomb interaction, energy of electron-electron repulsion in a filled orbital.</p> Signup and view all the answers

Is it easier to ionize high energy or low energy electrons?

<p>High energy electrons; they already contain more energy so they require less energy input.</p> Signup and view all the answers

What happens when a 3d series metal is ionized?

<p>The first electron to be ionized will come from the 4s orbital; the other s electron will enter the d orbital.</p> Signup and view all the answers

What is lanthanide contraction?

<p>Reduction in atomic radius following the lanthanide series, contrary to the overall trend observed for the periodic table.</p> Signup and view all the answers

What are lanthanides?

<p>Elements 57-71, first appearance of f orbitals where electrons added will have a higher effective nuclear charge, shrinking the radius.</p> Signup and view all the answers

What do Slater's rules tell us?

<p>They determine the effective nuclear charge, Zeff = Z - sigma, where sigma is the sum of the number of electrons in a given subshell multiplied by a weighting coefficient.</p> Signup and view all the answers

What is shielding?

<p>The reduction in charge attraction between the nucleus and electrons due to electrons between the nucleus and the electron in question.</p> Signup and view all the answers

What is penetration in atomic orbitals?

<p>When an electron of a higher atomic orbital is found within the shell of electrons of a lower atomic number.</p> Signup and view all the answers

What is electron affinity?

<p>The difference in energy for a neutral gaseous atom and the gaseous anion; more positive means more stable with the additional electron.</p> Signup and view all the answers

What does electronegativity measure?

<p>Overall measure of an atom's ability to attract electrons to itself when part of a compound.</p> Signup and view all the answers

What is polarizability?

<p>An atom's ability to be distorted by an electric field, which can result in partial positive or negative charges.</p> Signup and view all the answers

Why do we use the hydrogen system approximation?

<p>Systems involving multiple electrons are much more complex and require the use of quantum mechanics.</p> Signup and view all the answers

What is the formula for the energy of a hydrogen orbital?

<p>E = -13.6 eV * (Z^2/n^2), where h is Planck’s constant.</p> Signup and view all the answers

In which units can energy be expressed?

<p>Joules, wavenumber, inverse centimeters.</p> Signup and view all the answers

What does quantum number N represent?

<p>Principle quantum number, defines energy and size of orbital.</p> Signup and view all the answers

What does quantum number L represent?

<p>Orbital angular momentum quantum number, defines the magnitude of the orbital angular momentum.</p> Signup and view all the answers

What does quantum number Ml represent?

<p>Magnetic quantum number, describes the orientation of the angular momentum.</p> Signup and view all the answers

What does quantum number Ms represent?

<p>Spin magnetic quantum number, defines intrinsic angular momentum of an electron.</p> Signup and view all the answers

What is radial wavefunction?

<p>(R(r)), along with the angular wavefunction, gives us the orbitals.</p> Signup and view all the answers

What is a radial distribution function?

<p>A plot of R^2(r)r^2, indicating the probability of finding an electron at a certain distance from the nucleus.</p> Signup and view all the answers

What is the Bohr radius?

<p>The most probable distance to find the electron in a one proton, one electron system is 52.9 picometers.</p> Signup and view all the answers

What orbitals correspond to l=0 through l=4?

<p>L=0=s, L=1=p, L=2=d, L=3=f, L=4=g.</p> Signup and view all the answers

What is the building up principle/Hund's rule?

<p>When degenerate orbitals are available, electrons occupy separate orbitals with parallel spin.</p> Signup and view all the answers

What is the Pauli exclusion principle?

<p>No more than two electrons can occupy a single orbital, and to do so, their spins must be paired.</p> Signup and view all the answers

What does VSEPR stand for?

<p>Valence Shell Electron Pair Repulsion.</p> Signup and view all the answers

What is the relative repulsion strengths in VSEPR?

<p>Lone pair &gt; multiple bonds &gt; single bonds.</p> Signup and view all the answers

What is valence bond theory?

<p>Explains chemical bonding by considering the overlap of atomic orbitals.</p> Signup and view all the answers

How is hybridization used in valence bond theory?

<p>Explains bonding where the number of equivalent bonds exceeds the number of valence orbitals.</p> Signup and view all the answers

What is the effect of a lone pair on geometry?

<p>It pushes strongly against all other substituents, governing the shape of a molecule.</p> Signup and view all the answers

What is molecular orbital theory?

<p>An improvement over valence bond theory, extending the description of bonding to all atoms in a molecule.</p> Signup and view all the answers

What are MO theory assumptions?

<p>Orbital approximation and linear combinations of atomic orbitals.</p> Signup and view all the answers

What is orbital approximation?

<p>The wave function describing all of the electrons of a molecule can be written as a product of the one-electron wave functions.</p> Signup and view all the answers

What is a linear combination of atomic orbitals?

<p>The superposition of multiple atomic orbitals of the same type along with weighting coefficients.</p> Signup and view all the answers

What occurs in H2 and H2-like molecules?

<p>The 1s orbitals combine to form a lower energy sigma orbital and a higher energy antibonding sigma orbital.</p> Signup and view all the answers

What is the energy contributing in Li2 through N2?

<p>2s orbitals combine to form bonding and antibonding molecular orbitals.</p> Signup and view all the answers

Why can't Ne2 exist?

<p>Due to the difference in MO diagram's relative energies of the bonding orbitals pi and sigma.</p> Signup and view all the answers

What is H-X interaction?

<p>H bonds through 2p and 2s orbitals; relative energies of the atomic orbitals are crucial.</p> Signup and view all the answers

What is X-Y interaction?

<p>Relative energies are taken into account; more electronegative means lower energy orbitals.</p> Signup and view all the answers

What are the relative energies of molecular orbitals?

<p>4sigma &gt; 2pi &gt; 3sigma &gt; 1pi &gt; 2sigma &gt; 1sigma.</p> Signup and view all the answers

What is a polyatomic MO?

<p>Must use approximations of MO theory, creating a cumulative approximation of atomic orbitals.</p> Signup and view all the answers

What is LCAO notation?

<p>a, b = non-degenerate, e = doubly degenerate, t = triple degenerate.</p> Signup and view all the answers

What are LCAO energies?

<p>Lowest = a (non-degenerate), intermediate = e, highest = t.</p> Signup and view all the answers

What is bond order?

<p>A method to assess overall bond strength between two atoms in a molecule.</p> Signup and view all the answers

How to calculate bond order?

<p>(bonding - antibonding) / 2.</p> Signup and view all the answers

How to assign bonding character in bonding orbitals?

<p>A bonding orbital lies lower in energy than its substituent atomic orbitals.</p> Signup and view all the answers

How to assign bonding character in nonbonding orbitals?

<p>A nonbonding orbital is equal in energy to its corresponding atomic orbitals.</p> Signup and view all the answers

How to assign bonding character in antibonding orbitals?

<p>An antibonding orbital lies higher in energy than its substituent atomic orbitals.</p> Signup and view all the answers

What are HOMO interactions?

<p>Highest occupied molecular orbital, indicates the highest energy electrons reside.</p> Signup and view all the answers

What are LUMO interactions?

<p>Lowest unoccupied molecular orbital, it is the energy level directly above the HOMO.</p> Signup and view all the answers

Why are HOMO/LUMO important?

<p>Critical to electron structure; when excited, an electron is promoted from HOMO to LUMO.</p> Signup and view all the answers

What is paramagnetism?

<p>Occurs if there are two unpaired electrons.</p> Signup and view all the answers

What is metallic bonding?

<p>The bonding and ordering of metals into pure solids or solid solutions.</p> Signup and view all the answers

What is ionic bonding?

<p>Ions of different elements held together in rigid arrays due to attraction between opposite charges.</p> Signup and view all the answers

What is a lattice in crystallography?

<p>A 3D infinite array of lattice points defining the repeating structure of a crystal.</p> Signup and view all the answers

What is a unit cell?

<p>An imaginary, parallel sided region from which the entire crystal can be built.</p> Signup and view all the answers

What are the 7 types of crystal systems?

<p>Cubic, tetragonal, orthorhombic, monoclinic, triclinic, rhombohedral, hexagonal.</p> Signup and view all the answers

What is a primitive unit cell?

<p>Contains only one lattice point.</p> Signup and view all the answers

What is body-centered structure?

<p>Contains two lattice points per unit cell.</p> Signup and view all the answers

What is face-centered structure?

<p>Contains four lattice points per unit cell.</p> Signup and view all the answers

What is close packed structure?

<p>Structure type with the least unfilled space.</p> Signup and view all the answers

What is coordination number?

<p>The number of nearest neighbors, the number of spheres a single sphere touches in the unit cell.</p> Signup and view all the answers

What is cubic close packed?

<p>ABCABC repeating layer of spheres.</p> Signup and view all the answers

What is face-centered cubic structure?

<p>Same as cubic close packed.</p> Signup and view all the answers

What is a hole in crystallography?

<p>Unoccupied space between spheres; can be octahedral or tetrahedral.</p> Signup and view all the answers

What is polymorphism?

<p>The ability of a metal to adopt different crystal structures based on temperature and pressure.</p> Signup and view all the answers

What is an alloy?

<p>A blend of different metals, more formally called a solid solution.</p> Signup and view all the answers

What is a substitutional solid solution?

<p>When solute metal atoms take up the positions of solvent metal atoms in the crystal structure.</p> Signup and view all the answers

What is an interstitial solid solution?

<p>When solute metal atoms occupy positions in the holes of the solvent crystal structure.</p> Signup and view all the answers

What is lattice enthalpy?

<p>The standard enthalpy change accompanying the formation of a gas of ions from a solid.</p> Signup and view all the answers

What is the Born-Haber cycle?

<p>A flow chart used to determine the lattice enthalpies and other parameters governing how a solid behaves.</p> Signup and view all the answers

What is a van der Waals interaction?

<p>Non-electrostatic contributions to the lattice enthalpy.</p> Signup and view all the answers

What is a non-stoichiometric compound?

<p>Substance that exhibits variable composition but retains the same structure type.</p> Signup and view all the answers

What is a conductor?

<p>A substance with electric conductivity that decreases as temperature increases.</p> Signup and view all the answers

What is a semiconductor?

<p>A substance with electric conductivity that increases as temperature increases.</p> Signup and view all the answers

What is an insulator?

<p>Negligible conduction, but if measurable, it increases with temperature.</p> Signup and view all the answers

What is a superconductor?

<p>Substances that have zero resistance below a critical temperature.</p> Signup and view all the answers

What is a band in solid-state physics?

<p>A near continuous array of energy levels due to many symmetrically oriented atomic orbitals.</p> Signup and view all the answers

What is a band gap?

<p>A separation of bands, due to the absence of energy values for the molecular orbital.</p> Signup and view all the answers

What is an s/p band?

<p>The bands built from s and p orbitals.</p> Signup and view all the answers

What is the fermi level?

<p>The highest occupied energy level in a solid at T=0.</p> Signup and view all the answers

What are the parameters for a substitutional solid solution?

<p>Atomic radii of elements within 15% of each other and compatible crystal structures.</p> Signup and view all the answers

What are the parameters for an interstitial solid solution?

<p>Small atom must not transfer electrons; must have a radius enough to fit in the hole (0.414 * radius of metal).</p> Signup and view all the answers

What is the most stabilizing influence on a solid?

<p>Lattice enthalpy.</p> Signup and view all the answers

What effect does high lattice enthalpy have on solid stability?

<p>If high charge and small distance, strongly stabilizing.</p> Signup and view all the answers

What effect does low lattice enthalpy have on solid stability?

<p>Small charge and large distance make the solid unstable.</p> Signup and view all the answers

What is the Born-Mayer equation?

<p>Allows us to estimate the lattice enthalpy from charge and separation at T=0.</p> Signup and view all the answers

Why does solubility depend on lattice enthalpy?

<p>Solubility is a product of lattice enthalpy and hydration enthalpy.</p> Signup and view all the answers

What is solvent leveling?

<p>Ordering of water molecules around a dissolved ion.</p> Signup and view all the answers

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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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.

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