CH 1.3
defn: quanta
discrete bundles of energy emitted as electromagnetic radiation from matter
eqn: energy of a quantum
E = hf
h = Planck’s constant = 6.626 x 10 ^ - 34 Js
f = frequency of radiation
eqn: Bohr’s angular momentum of an electron orbiting a hydrogen nucleus
n = principal quantum number
h = Planck’s constant
changes in quantized amounts
when you see a formula on test day, what should you do?
focus on ratios and relationships –> this simplifies our calculations to a conceptual understanding which is usually enough to lead us to the right answer
the MCAT tends to ask how one variable might affect another variable, rather than a plug-and-chug application of complex equations
eqn + what does it tell us conceptually: Bohr’s energy of the electron
R(H) = Rydberg unit of energy = 2.8 x 10 ^ -18 J/electron
changes in quantized amounts
the energy of an electron increases (becomes less negative) the farther out from the nucleus it’s located (increasing n)
what does the negative sign in Bohr’s energy of the electron equation represent?
the electron in any of its quantized states in the atom will have an attractive force toward the proton
defn: orbit
the defined pathway around a proton forming a dense core, around which a single electron revolves
defn: ground state of an atom
the state of lowest energy, all electrons are in the lowest possible orbitals
defn: excited state of an atom
when at least one electron has moved to a subshell of higher than normal energy
are electrons restricted to specific pathways as Bohr positied?
no, but they tend to be localized in certain regions of space
mnemonic: what happens to electrons as they go from a lower to higher energy level?
they get AHED
Absorb light
Higher potential
Excited
Distant from the nucleus
at room temperature, are the majority of atoms in a sample in the ground state or excited state?
ground state
why do electrons return rapidly to ground state and what happens when they do?
WHY: the lifetime of an excited state is brief
WHAT: there is an emission of discrete amounts of energy in the form of photons
the wavelength of the photon is characteristic of the specific energy transition it undergoes
eqn: electromagnetic energy of emitted photons from ground state transition
h = Planck’s constant
c = speed of light in a vacuum
lambda = wavelength of radiation
expln (2): atomic emission spectrum
why does each element have its own unique atomic emission spectrum?
because each element can have its electrons excited to a different set of distinct energy levels
defn: Lyman series, Balmer series, Paschen series
Lyman: the group of hydrogen emission lines corresponding to transitions from energy levels n ≥ 2 to n = 1
Balmer: the group corresp. to transitions from energy levels n ≥ 3 to n = 2
Paschen: the group corresp. to n ≥ 4 to n = 3
defn and concept: the energy of an emitted photon
E = hc/lambda = Rh (1/ni^2 - 1/nf^2)
The energy of the emitted photon corresponds to the difference in energy between the higher-energy initial state and the lower-energy final state
expln (2): absorption spectrum
identification of elements in what phase of matter requires absorption spectra?
the gas phase
what are the 4 key takeaways of atomic emission and absorption spectra?
CH 1.1
where are protons found? what is the charge of a proton? what is the mass of a proton?
the nucleus of an atom
1.6 x 10^-19 = e (written as + 1 or +1e)
1 amu (atomic mass unit)