4E: Atoms, nuclear decay, electronic structure, and atomic chemical behavior Flashcards
atomic # (Z)
of protons in a nucleus and also # of electrons in neutral atom
isotopes
atoms of a single element (same Z) that differ in # of neutrons in their nuclei (diff masses)
atomic mass
aka amu, is the avg mass of all the isotopes of an element
1 amu in g and kg
1.660539 x 10^-24 g = 1.66054 x 10^-27 Kg
Mass of a proton in amu
1.00727647
Mass defect
predicted mass of an element (sum of all masses of all protons and neutrons within it) is larger than the actual mass. The mass defect is a result of matter that was converted into energy when nucleus formed.
Nuclear Binding Energy
allows protons and neutrons to come together and form nickels. When P and N (nucleons) come together to form nucleus, they are attracted to each other by the STRONG NUCLEAR FORCE, that compensates repulsive force between protons. Energy is released when nucleus is formed and also energy needed to break nucleus. Nucleus is stabled because energy given off when formed
Nuclear binding energy equation
E = MC^2 where E is energy in J that is released when nucleus is formed. Mass in Kg. C is speed of light (m/s^2) = 3x10^8
alpha decay
alpha particle ejected from unstable nucleus.. Alpha particle has the same composition as He, having 2 protons and 2 neutrons (charge 2+)
U238_92→He2_4+Th 234_90
Beta decay
A neutron and loss and a proton is gained, and an electron is emitted. Beta negative decay is the decay of a neutron into a proton with emission of an electron
Beta positive is positron emission. Decay of a proton into a neutron with emission of positron (e+)
Th23490→e−0-1 + Pa234_91
Gamma decay
emission of gamma ray, made up of photons, which coverts a high-energy nucleus into a more stable nucleus. A gamma ray has no charge and no mass (energy)—-nucleus goes from excited state to ground state
Half life
(grams of element) x 1/2^# of half lives
Exponential decay
rate at which radioactive nuclei decay is proportional to the number of nuclei that remain
eta = etanaught x e^-lambdaxt
where eta = number of undecided nuclei. eta naught = # of undercayed nuclei at t=0. Lambda = known decay constant. t= time
Photoelectric effect
when light of a sufficiently high frequency (usually blue of UV light) hits a metal in a vacuum, the metal atoms emit (release) electrons called photoelectrons.
Work function: amount of energy needed to free electron (depends on metal)
W = hF_t where H is plank’s constant and f_t is THRESHOLD ENERGY: the min freq of light that causes ejection of electron (depends on metal)
The max kinetic energy in photoelectric effect
K_max = hf-W in other words Kmax = hf = hft
Plank’s constant
6.62607004 × 10-34 m2 kg / s
Angular momentum of electron orbiting nucleus
L = nh/2pi where n = principal quantum number, h = Planck’s constant. The only variable is the principle quantum number so angular moment of electron changes only with respect to N
Energy of an electron formula
E = -R_H/n^2 where Rh is Rydberg unit of energy = 2.18 x 1^-18 J/electron
- energy proportional to principal quantum number. If you increase n, lower negative number thus higher energy.
- energy of an electron increases farther out from nucleus that it is located
Absorption
an electron can jump from a lower-energy to a higher-energy orbit by absorbing a photon of light of the same frequency as the energy difference between the orbits (absorbed when n increases).
—as an electron go from a lower energy level to a higher energy level they get AHED (absorb light, higher potential, excited, and distant from nucleus
Emission
when electron falls from a higher-energy to a lower energy orbit, it emits a photon of light of the same frequency as the energy difference between the orbits. The energy of an emitted photon corresponds to difference in energy between higher energy initial state and lower energy final state
E = hf = hC/lambda = -Rh [1/n^2 initial = 1/n^2 final]
Rydberg Equation
to determine amount of light emitted when electron changes energy levels
1/lambda = R (1/i^2 - 1/j^2) I = lower energy level j = higher energy level Rydbergg constant = 2.18 *10^-18 J/electron
Balmer series
n> or equal to 3 to n=2, visible light
lymann seriess
UV light. N > or equal to two to n = 1
Paschen Series
Infared n > or equal to 4 to n = 3
Heisenberg uncertainty principle
position and momentum of a particle cannot be accurately measured at the same time; the more accurately you know the momentum, the less you known the position because they are inversely proportional
Ground state
state of lowest energy; all electrons in lowest possible orbitals