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Aufbau Principles
electrons occupy orbitals of increasing energy
Hund’s Rule
electrons occupy all degenerate orbitals before putting 2 electrons in the same orbital
Pauli Exclusion Principle
No 2 electrons can have same set of 4 quantum #s
Primary bonds
- Ionic bond
- Covalent bond
- Metallic bond: atomic orbitals combine to form delocalized electron cloud shared by many atoms
Secondary bonds
- Van Der Waals: weak bonding induced by fluctuating/permanent molecular dipoles
- Hydrogen bonding: bonding between protons and available electron pair
Effects of bonding on melting temperature
- Tm larger if bond energy larger
- Tm is depth of potential energy curve
Effects of bonding energy on modulus of elasticity
- E is larger if bonding energy is larger
- E is related to curvature at unstretched length
Effects of bonding energy on coefficient of thermal expansion
- It’s larger if bonding energy is smaller
- Thermal expansion is mean interatomic distance which increases with thermal energy
- Related to symmetry of potential structure
Melting temperature hardness relationship
- Materials with high Tm are harder
- Hardness is resistance of surface to plastic deformation and is influenced by height of total force curve (bonding energy)
Ionic + covalent bonds in ceramics leads to…
- Large bond energy
- Large Tm
- Large E
- Small thermal expansion coefficient
Metallic bonds in metals leads to…
- Variable bond energy
- Moderate Tm
- Moderate E
- Moderate thermal expansion coefficient
Covalent + secondary bonds in polymers leads to…
- Directional properties
- Secondary bonding dominates
- Small Tm
- Small E
- Large thermal expansion coefficient
Valence band
Has highest energy electrons at 0 degrees K
Conduction band
Next band at energy > valence band
Fermi energy
- At 0 degrees K all electrons have energy smaller or equal to Fermi energy
- Energy where probability of occupancy is 50% for any T>0K
Movement of electrons in conductors
Energy needed is very small to move in a conduction region and become a free electron
Movement of electrons in insulators
Large energy band gap exists between full valence band + conduction region
Movement of electrons in semi-conductors
Same as insulators w/small band gap
Consequences of imperfections in a crystal
- Resistance of pure metals near absolute 0 temperature is very small
- Resistance increases with T
What happens when normal atoms are replaced with impurity atoms?
- Local strains are produced that scatter electrons
- Resistance increases even at absolute 0 temperatures
- Very good conductors must be pure
- Bad conductors are usually alloys
Does metal deformed by work hardening have lower or higher resistivity than the same metal in the stabilized state?
Higher
Intrinsic semiconductors
- Fermi energy is in the middle of the band gap
- Area above gap ~ # electrons in conduction
- Area below gap ~ # missing electrons in valence band (AKA holes in valence band)
Extrinsic semiconductors
- Fermi energy position changes according to doping
n-type extrinsic semiconductors
- Surplus of 1 electron for each atom added which goes easily to conduction band so required energy is small
- Have higher fermi levels than p types
- Happens when you add phosphorus to silicon
p-type extrinsic semiconductors
- Missing 1 electron for each atom added creating a hole
- Hole easily goes to valence band so required energy is small
- Happens when you add boron to silicon
Transistor
- Constituted of 3 semiconductor sections
- Current can flow between emitter + collector only if potential applied at base
- Applied in amplifiers + electronic switches
Peltier effect
- When current forced through bi-metal junction, electron going from point A to B gains energy at interface so energy taken from material (cooling effect)
- When electron goes from B to A it loses energy at interface –> heating effect
- When electron goes from p to n type it gains energy and energy taken from material so cooling effect (from lower to higher Fermi energy)
Amorphous
- Non-dense + random packing
- Solids w/out long range order/crystallinity
- When fast solidification doesn’t allow time to organize crystal structure the result is liquid like appearance
Crystalline
- Dense + regular packing
- Have lower energy than amorphous solids
Single crystal
Imply long range orders
Polycrystals
Imply several crystals packed together
Metallic crystal structures
- Densely packed
- Simplest crystal structures
Why are metallic crystal structures densely packed?
- Only 1 element present so all atomic radii are same
- Metallic bonding non-directional
- Nearest neighbour distances are small in order to lower bond energy
- Electron cloud shields cores from each other
Unit cell
Smallest repetitive volume which contains complete pattern of crystal
Atomic packing factor
APF = volume of atoms in unit cell / total unit cell volume
Coordination number
of first touching neighbours in hard sphere model
Simple cubic structure
- 1 atom/unit cell
- CN = 6
- a = 2R
- APF = 0.52