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negative enthalpy
heat flows out to surroundings, exothermic, forming bonds releases heat
positive enthalpy
reaction absorbs heat from surroundings, endothermic, breaking bonds absorbs heat
state function
a property that depends only on the current state of the system, not how it got there
examples of what is NOT a state function
heat and work
what to do with a state function problem when the reaction is reversed
flip the ΔH sign
Hess’s law
enthalpy change of a reaction is the sum of the enthalpy changes of the steps into which the reaction can be divided
bond enthalpy
enthalpy change with breaking a particular bond in a gaseous substance
speed of a wave
𝜆v
where are the nodes on a standing wave
locations with 0 amplitude
where are the antinodes on a standing wave
locations with maximum amplitude
photoelectric effect
electrons are only released if intensity is at a certain level
energy of a particle equation
1/2mv2
wavelength of a particle equation
𝜆=h/(mv)
energy of light from orbitals
Elight=hv= Eorbit i - Eorbit f
what happens when atoms go back down from being excited to a higher n state?
they emit light, different spectral line for each possible transition
photon energy in relation to work function and kinetic energy
Ephoton= ɸ + KE = hc/lambda
Born rule
the square of the wave squared gives the probability density of finding the electron at a given location
Heisenberg uncertainty principle
the more precisely we know the position of a particle, the less precisely we can know it’s momentum and vice versa
radial nodes direction
towards/away from the nucleus
angular nodes direction
around the nucleus
what happens to the energy of an electron with more nodes
higher energy
shape of s orbitals
spherical
shape of p orbitals
dumbbell shape, 3 possible
shape of d orbitals
cloverleaf, 5 possible
shape of f orbitals
complex, 7 possible
what does n mean in electron configuration, and what are its possible values?
principle quantum number, number of radial nodes. 1, 2, 3…
what does mean in electron configuration, and what are its possible values?
azimuthal quantum number, number of angular nodes. from 0 to n-1
what does ml mean in electron configuration, and what are its possible values?
magnetic quantum number, orientation of angular wave. from -l to l. the number of possible orientations of orbitals equal 2l+1
what does ms mean in electron configuration, and what are its possible values?
spin quantum number, +1/2, -1/2
what happens to the + or - symbol when you cross a node
phase change (Switch from + to -)
what does the orbital look like when the spherical coordinates are squared
the orbital lies on the axes (specific to d orbitals?)
what do the spherical coordinates mean when they aren’t squared?
the orbital lies between the axes (if there are multiple)
subshell
set of orbitals with same n and l
shell
set of orbitals with same quantum number n
pauli exclusion principle
no two electrons in an atom can have the same set of quantum numbers, each orbital can hold at most 2 electrons which must have opposite spins
Hund’s rule
electrons fill degenerate orbitals singly before pairing up, all unpaired electrons have the same spin. because orbital is in it’s lowest energy state when the number of electrons with the same spin is maximized
Aufbau principle
electrons are added to the lowest energy orbitals available
how does the energy of multi-electron atoms change with increasing n and l
the energy increases
why do some elements have anomaly electron configurations?
Because s and d shells can be close in energy and half-filled and fully filled subshells are particularly stable
what electrons should you count for the “other electrons in same group” part of Slater’s rules for nd or nf shells
only count subshell in question. for ns or np count the other subshells with same n
what are the valence electrons
all electrons with same highest n in the atom’s electron configuration
what electrons should you remove first?
from the outermost shell (highest n number)
what electrons should you remove first from transition metals?
lose highest ns electrons before inner (n-1)d
what are the limitations of this formula used for hydrogen-like atoms (with 1 electron) En= -hcRHz2n2
can’t capture transitions inside a shell, not all electric transitions are possible
work function
minimum energy required to remove electrons from a material
how does the work function change as Zeff increases?
work function increases with Zeff
ionization energy
required to remove an electron (always +)
how does the ionization energy of an anion with -1 charge relate to the electron affinity of a neutral atom?
Ionization energy of an anion with -1 charge is the opposite of the electron affinity of a neutral atom
how does ionization energy change across a period
increases across a period
how does ionization energy change down a group?
decreases down a group
how does ionization energy change across transition metals? Why?
increases slowly across transition metals. added protons to the nucleus almost completely counteracted by the increased shielding of the d shell
how do elements with low ionization energy behave?
lose electrons, good conductors
how does atomic radius change across the periodic table?
decreases up a group and to the right. effects down a group are more significant across a period. because atoms are more attracted to the nucleus toward the top right
electron affinity
how much energy is released when an electron is added to an atom (negative)
if the electron affinity is negative, is the anion or neutral atom + free electron more stable?
the anion is more stable and lower energy than the neutral atom + free electron. A + e- —> A-
does removing an electron absorb or release energy?
always absorbs energy
alkali metals
very reactive, lowest IE, low Zeff
what is the exception to normal alkali metal behavior?
hydrogen. high IE, forms +1 cations and -1 anions
alkaline earth metals
less reactive than alkali
chalcogens
group 16
halogens
group 17, most reactive nonmetals
what changes in reactivity when a solid metal displaces another metal’s ions from solution?
If a solid metal displaces another metal's ions from solution, the solid metal is more reactive than the metal in the ions
what are the 3 quantities used in the Born-Haber cycle?
enthalpies of formation, ionization energies, electron affinities
how to set up lattice enthalpy equation when given enthalpy of formation?
set given enthalpy of formation to the sum of all the other components including lattice energy
what should be the sum of all oxidation numbers in a neutral molecule?
0
what is it called when the oxidation number of a element increases through a reaction?
oxidized, reducing agent
what is it called when the oxidation number of a element decreases through a reaction?
reduced, oxidizing agent
what defines a hydrogen-like atom?
only 1 electron, regardless of amount of protons
what kind of node can be shown on the radial probability function graphs?
radial nodes, don’t know about angular nodes
where does the radial probability graph start for a s orbital?
above zero
where does the radial probability graph start for a p, d, or f orbital?
at zero
how to determine the number of radial nodes from quantum numbers?
Radial nodes= n - l - 1
what transitions between orbitals are allowed?
change in l and ml must be +-1
what quantum number represents number of angular nodes?
l
do cations increase or decrease atomic radius?
decrease
do anions decrease or increase atomic radius?
increase
which atom has a larger atomic radius if both have the same number of electrons?
the one with more protons is smaller, more attraction at the nucleus