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Antibonding Molecular Orbital (Antibonding MO):
A molecular orbital formed by
destructive overlap of atomic orbitals. It has higher energy than the original atomic
orbitals, contains a node between the nuclei, and decreases the stability of the molecule.
Bonding Molecular Orbital (Bonding MO):
A molecular orbital formed by constructive
overlap of atomic orbitals. It has lower energy than the original atomic orbitals,
concentrates electron density between the nuclei, and stabilizes the molecule.
Homonuclear Diatomic Molecule:
A molecule composed of two atoms of the same
element. Examples: H₂, N₂, O₂, F₂.
Hybrid Orbital:
A new atomic orbital formed by mixing two or more atomic orbitals on
the same atom during bonding.
Hybridization:
The process in which two or more atomic orbitals on the same atom
combine to form hybrid orbitals with specific shapes and orientations for bonding.
Molecular Orbital (MO) Bond Order:
A measure of bond strength calculated from the
numbers of bonding and antibonding electrons.
Bond Order
½(Bonding electrons−Antibonding electrons)
Higher bond order indicates a stronger and shorter bond.
Molecular Orbital (MO):
An orbital that belongs to the entire molecule rather than to a
single atom and can contain electrons shared by all atoms in the molecule.
Molecular Orbital (MO) Diagram:
An energy-level diagram that shows the relative
energies of molecular orbitals and how electrons occupy them according to the Aufbau
principle, Pauli exclusion principle, and Hund's rule.
Molecular Orbital (MO) Theory:
A quantum mechanical theory that explains chemical
bonding by treating electrons as occupying molecular orbitals that extend over the entire
molecule.
Nonbonding Molecular Orbital (Nonbonding MO):
A molecular orbital whose energy
is nearly the same as the original atomic orbital because it neither stabilizes nor
destabilizes the molecule.
Pi (π) Bond):
A covalent bond formed by the side-to-side overlap of parallel
unhybridized p orbitals. A π bond accompanies a σ bond in double and triple bonds.
Pi (π) Molecular Orbital (π MO):
A molecular orbital formed by the side-to-side overlap
of p atomic orbitals, with electron density above and below the bond axis.
Sigma (σ) Bond:
A covalent bond formed by the end-to-end overlap of atomic or hybrid
orbitals along the line joining two nuclei. Every single bond is a σ bond.
Sigma (σ) Molecular Orbital (σ MO):
A molecular orbital formed by end-to-end overlap
of atomic orbitals, with electron density concentrated directly along the bond axis.
sp Hybrid Orbital:
A hybrid orbital formed by mixing one s orbital and one p orbital,
producing two equivalent orbitals arranged 180° apart. Associated geometry: Linear
sp² Hybrid Orbital:
A hybrid orbital formed by mixing one s orbital and two p orbitals,
producing three equivalent orbitals arranged 120° apart in a plane. Associated geometry:
Trigonal planar
sp³ Hybrid Orbital:
A hybrid orbital formed by mixing one s orbital and three p orbitals,
producing four equivalent orbitals arranged tetrahedrally. Associated geometry:
Tetrahedral
sp³d Hybrid Orbital:
A hybrid orbital formed by mixing one s orbital, three p orbitals, and
one d orbital, producing five equivalent orbitals. Associated geometry: Trigonal
bipyramidal
sp³d² Hybrid Orbital:
A hybrid orbital formed by mixing one s orbital, three p orbitals,
and two d orbitals, producing six equivalent orbitals. Associated geometry: Octahedral
Valence Bond (VB) Theory:
A quantum mechanical theory that explains covalent
bonding as the overlap of atomic or hybrid orbitals on adjacent atoms, with the shared
electrons localized between the bonded atoms.
Activation energy (Ea)
The minimum energy that reacting particles must possess for
a collision to result in a chemical reaction.
Active site
The specific region of an enzyme where the substrate binds and the
catalyzed chemical reaction occurs.
Arrhenius equation
An equation describing the dependence of the rate constant on
temperature and activation energy:
Average rate
The change in the concentration of a reactant or product divided by the
time interval over which the change occurs.
Bimolecular reaction
An elementary reaction involving the collision and reaction of
two reactant particles.
Catalyst
A substance that increases the rate of a chemical reaction without
undergoing permanent chemical change or being consumed overall.
Chemical kinetics
The study of reaction rates, the factors that affect reaction rates,
and the mechanisms by which chemical reactions occur.
Collision theory
A theory stating that chemical reactions occur when reactant
particles collide with sufficient energy and the proper orientation.
Effective collision
A collision between reactant particles that has sufficient energy
and appropriate orientation to produce a chemical reaction.
Elementary reaction (elementary step)
A single molecular event in a reaction
mechanism that occurs exactly as represented by its chemical equation.
Enzyme
A biological catalyst, usually a protein, that increases the rate of a
biochemical reaction without being permanently consumed.
Enzyme–substrate complex (ES)
A temporary complex formed when a substrate
binds to the active site of an enzyme.
Frequency factor (A)
The factor in the Arrhenius equation that accounts primarily for
collision frequency and the probability that reacting particles have the proper orientation
for reaction.
Half-life
The time required for half of the amount of a reactant present at the
beginning of a time interval to be consumed.
Heterogeneous catalyst
A catalyst that is in a different phase from the reactants.
The reaction generally occurs on the surface of the catalyst.
Homogeneous catalyst
A catalyst that is in the same phase as the reactants and
participates temporarily in the reaction mechanism before being regenerated.
Hydrogenation
A reaction in which hydrogen is added to an unsaturated compound,
often using a metal catalyst such as nickel, palladium, or platinum.
Induced-fit model
A model of enzyme action in which substrate binding causes a
change in the enzyme's shape, producing a better fit between the enzyme and substrate
and promoting the reaction.
Initial rate
The reaction rate measured at or very near the beginning of a reaction,
before significant changes in reactant concentrations or product accumulation have
occurred.
Instantaneous rate
The reaction rate at one specific moment in time. Graphically, it
is obtained from the slope of the tangent line to a concentration-versus-time curve at that
instant.
Integrated rate law
An equation relating reactant concentration to time and the rate
constant.
Lock-and-key model
A model of enzyme action in which the active site has a fixed
shape that is complementary to the shape of the substrate.
Molecularity
The number of reactant particles involved in a single elementary
reaction. Elementary steps may be unimolecular, bimolecular, or, less commonly,
termolecular.
Rate constant (kkk)
The proportionality constant in a rate law that relates reaction
rate to reactant concentrations. Its value depends primarily on temperature and the
specific reaction.
Rate-determining step (rate-limiting step)
The slowest elementary step in a
multistep reaction mechanism. It acts as a bottleneck and controls the overall reaction
rate.
Rate law (rate equation)
An experimentally determined equation that relates reaction
rate to reactant concentrations.
Reaction energy diagram
A graph showing the potential energy of a reacting system
as it progresses from reactants through the transition state to products. It shows the
activation energy and overall energy change of the reaction.
Reaction intermediate
A species that is produced in one step of a reaction
mechanism and consumed in a later step. It does not appear in the overall balanced
reaction.
Reaction mechanism
The sequence of elementary reactions through which an
overall chemical reaction occurs.
Reaction order
The exponent of a reactant concentration in a rate law. The overall
reaction order is the sum of all concentration exponents in the rate law..
Reaction rate
A measure of how rapidly reactants are consumed or products are
formed, usually expressed as a change in molar concentration per unit time.
Substrate
A reactant molecule that binds to the active site of an enzyme and
undergoes a catalyzed chemical reaction.
Transition state (activated complex)
A temporary, high-energy arrangement of
atoms formed at the top of the activation-energy barrier. It can proceed toward products
or return to reactants.
Transition state theory
A theory of reaction rates based on the formation of a high-
energy activated complex or transition state between reactants and products.
Unimolecular reaction
An elementary reaction in which a single reactant particle
undergoes a chemical transformation or decomposition.
Alloy
A solid solution composed of two or more elements, at least one of which is a
metal.
Boiling-point elevation (ΔTb )
The increase in the boiling point of a solvent caused
by dissolving a nonvolatile solute in it.
Charge density
The amount of electric charge concentrated in a given region or
associated with the size of an ion. Smaller, more highly charged ions have greater
charge density.
Colligative property
A property of a solution that depends on the concentration or
number of dissolved solute particles rather than their chemical identity. Examples are
vapor-pressure lowering, boiling-point elevation, freezing-point depression, and osmotic
pressure.
Colloid
A stable, nonhomogeneous mixture containing particles larger than those in a
true solution but small enough to remain dispersed rather than settling out.
Desalination
The removal of dissolved salts and other ions from seawater or
saltwater to produce water with a lower salt concentration.
Dipole-induced dipole force
An intermolecular attraction in which a polar molecule
distorts the electron distribution of a nonpolar molecule, temporarily creating a dipole.
Entropy (SS)
A thermodynamic quantity related to the dispersal of matter and energy
in a system.
Fractional distillation
A method for separating a mixture of liquids by repeated
cycles of evaporation and condensation, taking advantage of differences in their vapor
pressures or boiling points.
Freezing-point depression (ΔTf)
The decrease in the freezing point of a solvent
caused by dissolving a solute in it.
Heat (enthalpy) of hydration (ΔHhydr )
The enthalpy change that occurs when
gaseous ions become surrounded and stabilized by water molecules.
Heat (enthalpy) of solution (ΔHsoln )
The overall enthalpy change that occurs when a
solute dissolves in a solvent.
Henry’s law
The principle stating that, at constant temperature, the solubility of a gas
in a liquid is directly proportional to the partial pressure of that gas above the solution.
Hydration
The process in which dissolved solute particles, especially ions, become
surrounded by water molecules.
Hydration shell
The organized layer of water molecules surrounding and interacting
with a dissolved ion or polar particle.
Ideal solution
A solution in which the intermolecular interactions between unlike
molecules are approximately equal in strength to those between like molecules and each
volatile component obeys Raoult’s law.
Immiscible
Describes two liquids that do not mix appreciably to form a homogeneous
solution.
Ionic atmosphere
The region surrounding an ion in solution in which there is a
greater concentration of oppositely charged ions than similarly charged ions.
Ion-induced dipole force
An attraction that occurs when an ion distorts the electron
distribution of a nearby nonpolar molecule, creating a temporary dipole.
Like-dissolves-like rule
The general guideline that substances dissolve most readily
in solvents with similar polarity and intermolecular forces: polar dissolves polar and
nonpolar dissolves nonpolar.
Mass percent [% (w/w)]
The mass of solute divided by the total mass of the solution,
multiplied by 100%.
Miscible
Describes two liquids that mix completely with one another in any proportion
to form a homogeneous solution.
Molality (m)
The number of moles of solute per kilogram of solvent.
Mole fraction (X)
The number of moles of one component divided by the total
number of moles of all components in the mixture.
Nonelectrolyte
A substance that dissolves without forming ions and therefore
produces a solution that does not conduct electricity significantly.
Osmosis
The net movement of solvent through a semipermeable membrane from a
region of lower solute concentration toward a region of higher solute concentration.
Osmotic pressure (Π\PiΠ)
The pressure that must be applied to a solution to prevent
the net movement of solvent into it by osmosis.
Raoult’s law
The principle stating that the vapor pressure of a solvent above an ideal
solution equals the mole fraction of the solvent multiplied by the vapor pressure of the
pure solvent.
Reverse osmosis
A process in which pressure greater than the osmotic pressure is
applied to a solution, forcing solvent through a semipermeable membrane in the
direction opposite to normal osmosis.
Saturated solution
A solution containing the maximum amount of dissolved solute
possible at a particular temperature.
Semipermeable membrane
A barrier that allows solvent molecules to pass through
but prevents solute particles from passing.
Soap
A salt of a long-chain fatty acid whose ions contain a nonpolar hydrocarbon tail
and a polar or ionic head, allowing oily substances to disperse in water.
Solubility (SSS)
The maximum amount of a solute that can dissolve in a given
quantity of solvent under specified conditions of temperature and pressure.
Solute
The component of a solution that is dissolved in the solvent and is generally
present in the smaller amount.
Solvation
The process in which solvent molecules surround and interact with
dissolved solute particles.
Solvent
The component of a solution that acts as the dissolving medium and is
generally present in the largest amount.
Strong electrolyte
A substance that dissociates or ionizes essentially completely into
ions when dissolved in water.
Supersaturated solution
An unstable solution containing more dissolved solute than
is normally present in a saturated solution at the same temperature.
Suspension
A heterogeneous mixture containing relatively large particles that
eventually settle out of the dispersing medium.
Tyndall effect
The scattering of visible light by colloidal particles, making the path of
a light beam visible as it passes through a colloid.
Unsaturated solution
A solution containing less than the maximum amount of solute
that can dissolve at a given temperature, meaning that additional solute can still
dissolve.
Vapor-pressure lowering (ΔP\Delta PΔP)
The decrease in a solvent’s vapor
pressure caused by the presence of a dissolved solute.
Volume percent [% (v/v)]
The volume of solute divided by the total volume of the
solution, multiplied by 100%.
Weak electrolyte
A substance that only partially ionizes in water, producing a mixture
of ions and un-ionized molecules in solution.