3: Ionic interactions Flashcards
what are the two major sources of energy in chemical reactions?
interactions between charged species (ions)
making / breaking of covalent bonds
what practical testing method is used to determine lattice structure?
X-ray diffraction
locates position of nuclei and maps e- density
ionic radii is…
more or less independent of the salt
name the force between ions in a lattice
electrostatic / coulomb interaction
electrostatic energy is proportional to… and inversely proportional to…
proportional to the charges involved (q1 and q2)
inversely to the distance r between the two charges
the sign of the energy for a favourable interaction will be…
NEGATIVE, indicating a lowering of the energy due to favourable interaction
describe the energy of interaction at the equilibrium distance
the distance at which the energy is at a minimum
what is the Madelung constant, M?
when using a model to calculate the energy of the interactions of any one ion with those around it, the constants add up to the Madelung constant (approx 1.6-2.5, depending on the particular arrangement)
what is the Born-Lande equation used to calculate?
the energy at equilibrium separation of ions (also, at a minimum)
or the energy of interactions between ions in a crystal lattice
what does the Born-lande equation take into considerations apart from the electrostatic energy?
the repulsion between ions (which is inversely proportional to r^n)
born-lande equation (simplified)
energy at equilibrium = - M N(Avogadro) x electrostatic energy (1 - 1/n)
what is the value of M when calculating energy between an ion pair?
M = 1
bc only one single interaction between oppositely charged ions
define lattice energy
energy needed to take ions from lattice into gas phase (no longer interacting)
trends of ionic radii
increase going down group
anions > cations, generally
same period, 2+ ions < 1+, and 2- ions > 1-
what do the kapustinskii equations express?
lattice energy
simplified: bc ratio M/v (v=# ions in formula) v similar, and take n=9