Inorganic Chemistry Flashcards
Lewis Acids and Bases
Lewis acid = electron acceptor (e.g. protons, BF3, SiF4)
Lewis base = electron donator (e.g. NH3, CN-, OH-, H2O)
Bronsted-Lowry Acids and Bases
Bronsted-Lowry acid = proton donator
(e.g. CHCOOH (formic acid), acetic acid)
Bronsted-Lowry Base = proton acceptor
(e.g. NaOH, ammonia)
Representation of hydrated protons
Hydrogen ions do not exist as an ‘naked’ ion in aqueous solutions (it is hydrated, degree of hydration is unknown)
Hydrogen ions are both represented by H+ and H3O+ (hydronium)
All ions/molecules are surrounded by solution to form a SOLVATION SHELL
Conjugate Acid-Base pairs
Conjugate base = acid that lost a proton/electron (paired with a acid)
Conjugate acid = base that gained a proton/electron
We can calculate Ka from the conjugate acid of the base (+ vice versa)
as Ka x Kb = Kw
Ka/Kb is the acid/base dissociation constant (strength of acid/base in a solution)
= [H+][OH-] thus pKa + pKb = 14 (only at 25 degrees)
Ionisation of water
Pure water undergoes self-ionisation where water can behave both like an acid or base (weak acid/base)
As it is a weak acid/base, the left side is favoured
Kw = 1 x 10^-14 at 25 degrees
(ionisation constant of water)
In pure water, concentration of hydrogen and hydroxide is equal
√ Kw = 10^-7 M
(solution is said to be neutral)
Ionisation constant of water is dependent on temperature
-increasing temperature decreases the ionisation constant of water (concentration of ions are lesser)
(adding substances may change concentrations oh H+ and OH- but product of concentrations are always constant at a given temperature)
e.g. of H+ = 10^-1 M then OH- = 10^-13 M
If H+ concentration is > 10^-7 = solution is acid
If OH- concentration is > 10^-7 = solution is basic
pH and pOH scale
Since concentrations of hydrogen/hydroxide is very small, we express them in log scale
pH scale is in logarithmic scale indicate that hydrogen ions increase by a scale of 1,000
Units: mol/L, mol dm3 or M
pH = -log[H+]
pOH = -log[OH-]
(if H+ = 10^-1M then pH = 1, pOH = 13)
pH + pOH = 14
Quantifying acid strength
Ka = acid dissociation constant
Ka = [A-][H3O+] / [HA]
(water does not get included as it is solution and concentration doesn’t change)
STRONG ACIDS = HIGH Ka AND SMALL pKa
large Ka = reaction lies to the right
pKa = dissociation in water (lower value = higher dissociation) pKa = -log[Ka] Ka = 10^-pKa
Quantifying base strength
Kb = base dissociation constant Kb = [BH+][OH-] / [HB]
STRONG BASES = HIGH Kb AND SMALL pKb
pKb = -log[Kb] Kb = 10^-pKb
Strong acids and bases
Strong acids/bases almost fully dissociate in water (we write one arrow in equation)
Strong acids = HCl, HBr, sulfuric acid (H2SO4), HClO4, HBF4
conjugate bases of strong acids are weak acids (anions)
e.g. HCl- or HBr-
We assume concentration of H+ = HA (acid conc at equilibrium) as it has fully dissociated
OH- = HB
Weak acids and bases
Weak acids only go through small degree of ionisation (e.g. carboxylic acids)
Weak bases go through small degree of protonation (e.g. ammonia, amines)
-equilibrium lies to the left
In weak acids, conjugate base conc is assumed same as protons (conjugate acid) [H3O+/H+] = [A-]
How do we know if it is a weak acid/base though?
5% RULE
-if dissociation is less than 5%, we classify it as a weak acid/base
[H+] x 100 / acid concentration to get dissociation percentage
Buffers
Buffer solution = solution that resist pH change when small amounts of acid/base are added
Buffers can be formed by:
-weak acid + conjugate base
-weak base + conjugate acid
(good buffers will have equal proportions of the acid/base and its conjugate pair)
(also can through adding enough strong acid/base to neutralize half of weak acid/base)
Qualitative explanation of buffers
- a buffer from acetic acid and its conjugate base has protons added to it, the conjugate base are able to pick up free protons to form acetic acid
- protons will not be free in solution, causing pH to not change as much
Buffer strength is greatest when pH = pkA
In buffers, pKa range is +/- 1 but when pH = pKa then we can add acid and base to solution
Henderson-Hasselbach Equation
pH = pKa + log [A-] / [HA]
pH = pKa as the concentration ratio between acid and conjugate base is 1, where log(1) = 0
Acid-base titration
Equivalence point = equal amount of acid + base added (pH = 7; for a strong acid-base reaction)
With a weak acid/base + strong acid/base reaction
Buffer region = lots of acid/base has to be added to see small pH change
Equivalence point would be higher/lower than pH = 7
(e.g. adding strong base to weak acid gives equivalence point of pH = more than 7 indicating the conjugate base of weak acid is basic)
Halfway of equivalence point = pH (pKa of weak acid)
Ionic vs Covalent Bonds
Ionic bonds = cations and anions held together by electrostatic forces (bonds held together by the electrostatic forces of oppositely charged ions)
- non directional bonds
- 400-4000 kJ/mol
Covalent bond = bonds held together by the electrostatic force between a positively charged nuclei and shared electrons
-directional bonds
-150-550 kJ/mol
Valence electrons = outer shell electrons are shared between nuclei (bonding will occur if the energy of the molecule if lower than each separate atom)
Lewis Structures
bonding model that demonstrates the arrangement of valence electrons in a molecule
OCTET RULE = many stable compounds have atoms that achieve an octet of electrons
-INTRINSIC (independent of amount present) stability related to having 8 valence electrons (group 18 = noble gases are inert)
PERIOD 2 + 1 ELEMENTS CANNOT BREAK OCTET RULE
Formal charge = charge assigned to an atom assuming all the electrons are shared equally
Equation = [number of valence electrons] - [number of lone pair electrons] - [0.5 x electrons in bonds]
Resonance structures
2 Equivalent lewis structures result in resonance
-lewis structures do not define structure accurately, but defines length is the average length between resonance structures
Ozone (O3) = 2 resonance structures Nitrate ion (NO3-) = 3 resonance structures
Isoelectronic molecules = same number of valence electrons
RESONANCE AND BREAKING OF OCTET RULE SHOWS LIMITATIONS OF LEWIS STRUCTURES
Coodinate (dative) bond + Radicals
Structures where molecule has less than 8 valence electrons (e.g. BF3, it is a lewis acid as it is electron deficient)
Coordinate bonds form when a covalent bond between an atom where electrons are from 1 atom
Radicals = molecules that have unpaired electrons (are very reactive)
e.g. NO, OH・, NO2
VSEPR Theory
Valence Shell Electron Pair Repulsion - demonstrates molecular shape (allowing us to understand chemical and physical properties of compounds)
Assumptions: atoms in a molecule are held together by a pair of electrons, bonding pairs (BP)
- some atoms within a molecule may not have pairs of electrons that were involved in bonding, lone pairs (LP)
- electron pairs are negatively charged and repel each other (electron pairs adopt positions to position themselves as far as possible)
Electron geometry = shape of molecule regarding electron pairs
Shape = actual shape of molecule
We fill out equitorial positions before axial (lone pairs are further from groups at axial positions compared to equitorial)
With multiple bonds, electron-electron repulsion means double/triple bonds take up more space than single bonds (excluding resonance structures)
VSEPR Theory Values
2 bonded pairs, 0 lone pairs = linear (180 degrees)
3 bonded, 0 lone = trigonal planar (120 degrees)
2 bonded, 1 lone = bent/v-shaped (119 degrees)
2 bonded, 2 lone = v-shaped, bent (104.5 degrees)
3 bonded, 1 lone = trigonal pyramidal (107 degrees)
3 bonded, 2 lone = T-shaped (87.5, 175 degrees)
4 bonded, 0 lone = tetrahedral (109.5 degrees)
4 bonded, 1 lone = seesaw (90, 120, 180 degrees)
5 bonded, 0 lone = trigonal bipyramidal (90, 120, 180 degrees)
5 bonded, 1 lone = square pyramidal (90, 180 degrees)
4 bonded, 2 lone = square planar (90, 180 degrees)
6 bonded, 0 lone = octahedral (90, 180 degrees)
2 bonded, 3 lone = linear
Bond Polarity
Electronegativity = power of an atom in a molecule to attract electrons to itself (the greater the electronegativity difference, the more polar the bond)
Electronegativity increases across a period, decreases down a group
Differences in electronegativity can cause a ‘dipole moment’ (travels from positive end to negative end)
Dipole moment - degree of polarity, measured in Debye (D) (3.356 x 10-30 C m)
(the greater the electronegativity difference, the greater the dipole moment)
(bonds can be polar, but molecule does NOT have to be)
A symmetrical molecule with polar bonds may be non polar (e.g. carbon dioxide) OR unsymmetrical molecule but polar (e.g. water)
Electron affinity = amount of energy required to add 1 mole of electrons in gaseous state (opposite of ionisation energy, first electron affinity is always negative, second is positive)
Valence Bond Theory
Valence bond theory assumes that electrons are either localised in bonds between two atoms or localised on a single atom
We use valence bond theory when describing organic molecules (2s and 2p orbital present), purely covalent solids (e.g. isotopes of carbon)
Hybridisation: sp3 = 2s orbital and 3/3 p orbital sp2 = 2s orbital and 2/3 p orbital sp = 2s orbital and 1/3 p orbital 2px --> 2py --> 2pz
LIMITATIONS:
- does not explain trigonal bipyramidal/octahedral molecules
- does not explain magnetic properties
- incorrectly assumed localisation of electrons (concept of resonance must be added)
- does not handle unpaired electrons well
- does not give information about bond energy
Molecular Orbital Theory (MOT)
Molecular orbitals are obtained by the linear combination of atomic orbitals
e.g. Hydrogen (H2) has 1 atomic orbital each atom
Electrons have wave-like properties that can overlap constructively or destructively
Contructively = increase of electron density (forms a bonding molecular orbital) Destructively = 0 electron density between two atoms (node) (forms an antibonding molecular orbital)
Nodal plane makes an atom lie higher in energy compared to the bonding molecular orbital
Atomic orbitals that DO NOT overlap and remaind the same energy = non-bonding orbitals
(number of molecular orbitals = atomic orbitals)
BOND ORDER = indicator of stability of bond
(number of electrons in bonding orbitals) - (# antibonding electrons) / 2
MOT and molecular ions
Example: H2+ or H2-
H2 + only has one atom contributing one electron meaning there is only one electron present in molecular orbitals
bond order = 1/2
H2- has 1 atom (1 electron) and another atom (2 electrons) combining with a total of 3 electrons
bond order = 1/2 yet it is weaker than h2 as the bond lies further apart
MOT demonstrates that 1 and 3 electron bonds are allowed (compared to valence theory)
With an He2 molecule, the bond order becomes 0 = it does not exist
MOT and linear combination of p orbitals
As p orbitals have 3 orthogonal directions thus overlapping have different positions
P orbitals can overlap end-on-end: 2px orbitals (both left sides) = antibonding molecular orbital (sigma orbital) 2px orbitals (facing each other) = sigma bonding molecular orbital
P orbitals can overlap side to side: 2pz orbitals (opposite ends) = pi antibonding molecular orbital 2pz orbitals (same side) = pi bonding molecular orbital
x and z oriented p orbitals can not overlap as the bonding and antibonding interactions cancel each other out
MOT and non bonding orbitals (HF)
1s orbital of hydrogen is much higher energy compared to 2s orbital of F therefore there is no interaction between the two
2s atomic orbital remains on its own = non bonding orbital
MOT and relative energies
The closer in energy of atomic orbitals are, the better overlapping will occur (end on end is better causing big difference of energy between bonding and antibonding orbitals)
Side on overlap is not as stable compared to end on overlapping
HOWEVER
Antibonding side on overlapping is more stable compared to bonding side on overlapping, therefore it has more energy