Lec 1-5 Matt Flashcards
What are quantum numbers?
- energies of electrons limited to discrete values called energy levels
- Use wave equation to find them
- electrons are wave functions/equations too
What is Heisenbergs uncertainty principle?
- never know the speed and position of electrons at the same time in their orbitals
- consequence of this is that there’s a 95% chance of electron being in a particular space/boundary
What are the 4 quantum numbers?
- Principle QN
- Orbital Angular Momentum QN
- Magnetic QN
- Spin QN
What is principle quantum number?
- describes row of the periodic table
- can be any positive integer from 1 to infinity
- as n increases, energy and size increases also
What is orbital angular momentum quantum number?
- describes the shape of the orbital
- can be positive integer between 0 and n-1
- for s p and d
What is magnetic quantum number?
- describes the direction/orientation of the orbital
- values for mi are all integer values for +-1
- for px , py, pz
- axis are obituary
Summary of orbitals
- shape and size of an orbital = region of space where there is high probability of finding an electron
- size defined by n
- shape defined by I
- orientation defined by mi
- orientation is defined relative to arbitrary axes (x,y,z)
What is spin QN?
- describes spin of electron
- has only two values (+1/2 or -1/2)
- an orbital can contain only two electrons
- represent spin as up or down
Spin QN - diamagnetic
- compounds with paired electrons (opposite spin)
Spin QN - paramagnetic
- compounds with unpaired electrons (parallel spins)
What are the relative energies of orbitals?
1) between shells the orbital energy increases as n increases
2) within shells the orbital energy increases in the order s<p></p>
Can an electron have the same quantum number as another electron? (in an atom)
NO
What is the Pauli Exclusion Principle?
- No two electrons in an atom have the same four QN
- an orbital can only contain 2 electrons
What is the Aufbau Principle?
- electrons fill orbitals from lowest energy orbital upwards
- orbital energy increases as n does
- orbital energy increases as I does
What is Hunds first rule?
- electrons fill orbitals of the same energy to give maximum number of unpaired electrons
- max number of parallel spins
What is wave particle duality?
- every elementary particle exhibits properties of not only particles but also waves
- this is the fundamental concept of quantum mechanics
- the observed properties will depend on the way that you measure the property
What are you interested in regarding electron density of the schrodinger wave equation?
- how far the electron is from the nucleus: i.e. max electron density which is linked to how easily it can react
- in which direction does the maximum electron density lie: informs us what direction bonds are formed
The two parts of the schrodinger wave equation: 1) the radial function
- describes the wave only in terms of distance from the nucleus
The two parts of the schrodinger wave equation: 2) the angular function
- describes how amplitude of the electron varies with direction
What does Ψ² relate to?
- relates wavefunction to a measurable property
- the probability of finding an electron in a very small volume of space
- doesn’t take into account amount of space though
What is radial distribution function?
- equation which is probability of finding an electron in s a spherical shell of thickness (dr) at a distance (r) from around the nucleus
- maximum in the rdf = most probable distance from the nucleus of finding an electron
- is a 3-dimensional electron distribution description
Shielding and penetration explained
- when there is more than one electron
- ability of an electron to shield other electrons from the Zeff of the nucleus
- between shells n=1>n=2>n=3
- within shells s>p>d>f
What would happen if you had 100% shielding?
- every electron in every element would see a charge of +1
What would happen if you had 0% shielding?
- every electron in every element would see +8 charge
What is effective nuclear charge? (Zeff)
- nuclear charge felt by each electron