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Evidence for wave-particle dual nature of electrons
The discrete lines observed in atomic spectra can be explained if electrons, like photons, also display the properties of both particles and waves.
Standing waves
Electrons behave as standing (stationary) waves in an atom.
These are waves that vibrate in time but do not move in space.
There are different sizes and shapes of standing wave possible around the nucleus, known as orbitals.
Quanta
fixed amounts of energy, e.g. possessed by electrons
The angular momentum quantum number l can have values:
from zero to n − 1
The magnetic quantum number ml determines the orientation of the orbital can have values between:
− l and + l
Aufbau Principle
Electrons fill orbitals in order of increasing energy
Hund’s Rule
When degenerate orbitals are available, electrons fill each singly, keeping their spins parallel before spin pairing starts
Pauli exclusion principle
No two electrons in one atom can have the same set of four quantum numbers, therefore, no orbital can hold more than two electrons and these two electrons must have opposite spins In an isolated atom the orbitals within each subshell are degenerate.
Dative covalent bond
Type of covalent bond where both of the electrons in the shared pair are from the same atom, i.e. one atom “donates” the pair of electrons
Resonance structure
Way of describing the structure of a molecule or ion when typical Lewis structures do not apply. The presence of delocalised electrons results in the structure of the molecule or ion to be halfway, or “resonate”, between that of two or more Lewis structures. For example, in benzene and ozone, the bond length is halfway between a single and a double bond.
Using VSEPR (valence shell electron pair repulsion) theory to predict the shapes of molecules and polyatomic ions
taking the total number of valence (outer) electrons on the central atom and adding one for each atom attached
adding an electron for every negative charge
removing an electron for every positive charge
dividing the total number of electrons by two to give the number of electron pairs
Arrangement of electron pairs in an atom
Electron pairs are negatively charged and repel each other and are arranged to minimise repulsion and maximise separation.
Electron pair repulsions decrease in strength in the order:
non-bonding pair/non-bonding pair > non-bonding pair/bonding pair > bonding pair/bonding pair
Name for the molecular shape with three electron pairs
trigonal planar
Name for the molecular shape with five electron pairs
trigonal bipyramidal
d-block transition metals
metals with an incomplete d subshell in at least one of their ions
The filling of the d orbitals follows the aufbau principle. State the two elements which are exceptions to this rule and explain why.
Chromium and copper atoms. These exceptions are due to the special stability associated with the d subshell being halffilled or completely filled.
State which orbital electrons are lost from first when atoms from the first row of the transition elements form ions
4s
Compounds containing metals in high oxidation states are often
oxidising agents
Compounds with metals in low oxidation states are often
reducing agents
Ligands
negative ions or molecules with non-bonding pairs of electrons that they donate to the central metal atom or ion, forming dative covalent bonds
Coordination number
The total number of bonds from the ligands to the central transition metal
Transition metal complex
Central transition metal ion surrounded by and bonded to a number of molecules or ions
Rules for naming transition metal ion complexes
The ligands come first followed by the metal
Ligands are listed in alphabetical order
Negatively charged metal ions end in” –ate” , cuprate is used for copper and ferrate is used for iron
The oxidation state of the central metal ion is stated in roman numeral
Name the ligand with the formula NH3
Ammine
Name the ligand with the formula OH-
Hydroxido
Name the ligand with the formula Cl-
Chlorido
Name the ligand with the formula CN-
Cyanido
Name the ligand with the formula H2O
Aqua
Name the ligand with the formula C2O42-
Oxalato
Explain why in a complex of a transition metal, the d orbitals are no longer degenerate
When the electrons present in the ligands approach the central metal ion, this causes the electrons in the orbitals lying along the axes to be repelled
The d orbitals that lie along the axes now have higher potential energy. This results in the splitting of d orbitals to higher and lower energies
Strong field ligands
Ligands that cause a large difference in energy between subsets of d orbitals
Examples, in increasing order of strength, include H2O, NH3 and CN-
Weak field ligands
Ligands that cause a small energy difference between subsets of d orbitals
Examples, include the ions of group 7 elements. The strength of the ligand increases going down the group
Spectrochemical series
The ordering of ligands based on their ability to split d orbitals. I- < Br- < Cl- < F- < H2O < NH3 < CN-
Explain how colour arises in transition metal complexes
Light is absorbed when electrons in a lower energy d orbital are promoted to a d orbital of higher energy
If light of one colour is absorbed, then the complementary colour will be observed
Note that no photon emission is involved for d-d transitions
If the ligands surrounding the transition metal ion are strong field ligands (those that cause the greatest splitting of the d orbitals) d-d transitions are more likely to occur in the {UV/visible} region of the electromagnetic spectrum.
UV region