we need 3 numbers to describe the system in hydrogen atoms and 4 numbers for non-hydrogen atoms
the quantum numbers: principal (n), orbital angular momentum (l), magnetic angular momentum (ml), electronspin (ms)
the principal quantum number relates to the energy and probable distance of the electron from the nucleus
angular momentum describes the shape of the orbital where the electron is located
the angular momentum number cannot be greater then the n value
the number of subshells in the principal shell = the number of possible l values
s subshell: L = 0
p subshell: L = 1
d subshell: L = 2
f subshell: L = 3
the magnetic quantum number can have a negative or positive whole-number value ranging from -L to L
the number of orbitals in a subshell is equal to the number of allowed ml values for that subshell (2l + l)
s orbitals have a spherical shape
p orbitals have 2 lobes with a node in the middle
electrons cannot be in a node
d orbitals have multiple lobes and nodes
the number of nodes is equal to the n value minus 1
electrons with a higher n value will generally be higher in energy
in a single electron atom, subshells (L) with the same n value are degenerate (have the same energy)
in a multi electron atom, the l and n values have to be the same to be degenerate
electrons close to the nucleus can shield the electrons further out from the full nuclear attraction, causing them to experience a lower effective nuclear charge (Zeff) and have a higher energy
s orbitals (because they have no nodes at the nucleus) are able to get closer to the nucleus and experience a greater attractive force (penetration), and be at a lower energy
electrons fill electron configuration to minimize the overall energy of the atom
only two electrons can be in the same orbital, and they must have opposite spins
instead of having a full ns orbital, chromium, copper, molybdenum, silver, and gold move one electron up to the nd orbital from ns
when an electron is in an excited state, the electron will be missing from a lower energy subshell and moved into a higher energy subshell
when an atom loses electrons (forms a cation) it loses the highest principal energy level (n) first
the smaller the sum of the n value and the l value, the less energy present in the subshell
electron configuration of transition metals: ns^2 (n-1)d^(1-10)
electron configuration of f-block element: ns^2 (n-2)f^(1-14) (n-1)d^1
group number for an element refers to the amount of valence electrons it has
electrons in the same period have the same number of core electrons
cations will cease to lose electrons once the outermost, highest energy subshell present in the neutral species is emptied
anions will add enough electrons to fully fill their highest energy subshell and no more
effective nuclear charger (Zeff) increases across the periodic table
Zeff = number of valence electrons in an element
ionization energy is always endothermic
second and higher ionization energies are almost always larger (more endothermic) than the first ionization energies
ionization energy increases across a row and up a group
exceptions of ionization energy: group 2 > group 13 (3A) and group 15 > group 16