chapter 4 Flashcards
nucleons
protons and neutrons (in the nucleus)
*pg 50
atomic number(Z)
the number of protons in the nucleus of an atom. it determines what element the atom is.
This is written on the bottom left of an element
the mass of a proton,electron and neuron
protons and neutrons have a mass slightly more than 1 amu (1 amu = 1.66x10^-27 kg)
electrons has a mass that is about 0.05 percent the mass of either a proton or neutron
-this is why majority of the mass of an atom is due to the nucleus
*pg50
atom’s mass number, A
the number of protons plus the number of neutrons
A = Z + N
this is written on the left top of an element, and can also be written after the name (ex: beryllium-9)
*pg50
isotopes
two atoms of the same element that differ in their number if neutrons. they always have the same atomic number but different mass numbers
*pg51
atomic weight of an element
is a weighted average of the masses of its naturally occurring isotopes.
*pg51
how is the atomic weight of an element calculated
you check how much each isotope accounts for and multiply the percentage by the atomic mass of that isotope. do this with all the isotopes and add all the answers in the end
*pg51
ions
when a neutral atom gains or looses electrons it becomes charged, and therefore an ion.
anions are negatively charged ions and cations and positively charged
this charge goes on the top right of the element
*pg52
strong nuclear force
the force through which protons and neutrons are held together in the nucleus. it’s stronger than the electrical force between charged particles. this force is the most powerful but only works at extremely short distances
*pg53
radioactive nuclei
these are unstable nuclei, and they undergo a transformation to make them more stable.
*pg53
radioactive decay
the process of making a radioactive nuclei more stable, it works by altering the number and ratio of protons and neutrons or just lowering their energy. there are 3 types: alpha, beta, and gamma. the nucleus that goes through this process is known as the parent, and the resulting more stable nucleus is known as the daughter
*pg53
alpha decay
when a large nucleus wants to become more stable by reducing the number of protons and neutrons, it emits an alpha particle. (α with a 4 in the top left and 2 in bottom left, meaning it consists of 2 protons and 2 neutrons). this is equivalent to a helium-4 so it can also be denoted by He with the same subscripts as the alpha.
alpha decay reduces the parent’s atomic number by 2 and the mass number by 4.
although alpha particles are emitted with high energy from the parent nucleus, this energy is quickly lost bc it travels through matter or air. as a result it cannot travel far, and can be stopped by the outer layers of human skin or piece of paper
*pg53
beta decay
three types: β−, β+, and electron capture
each of these involves the conversion of a neutron into a proton, or vice versa, through the action of weak nuclear force
beta particles are more dangerous than alpha particles bc they beta particles are much smaller so they have more energy and a greater penetrating ability, but they still can be stopped by an aluminum foil or a cm of plastic or glass
*pg54
β− decay
when an unstable nucleus contains too many neutrons, it may convert a neutron into a proton and an electron (which is known as β− particle), which is ejected.
the atomic number of the resulting daughter nucleus is 1 greater than the radioactive parent nucleus, but the mass number remains the same.
ex: Carbon-14 would become Nitrogen-14
this one is the most common type of beta decay (if it just says beta decay on a question without referring to an exact one, it means β−)
*pg54
β+ decay
Also known as positron emission
when an unstable nucleus contains too few neutrons, it converts a proton into a neutron and a positron, which is ejected.
this positron is the electron’s antiparticle, it’s identical to an electron except its charge is positive.
the atomic number of the resulting daughter nucleus is 1 less than the parent but the mass number remains the same.
EX: Fluorine-18 would become oxygen-18
electron capture
a way for an unstable nucleus to increase its number of neutrons by capturing an electron from the closest electron shell (the n=1 shell) and use it in the conversion of a proton into a neutron.
this is similar to the β+ in the case that it casues the atomic number to reduce by 1 while the mass number stays the same.
EX: Chromium-51 + electron –> vanadium-51
*pg55
Gamma decay
a nucleus in an excited energy state (usually after going through alpha or any beta decay) can ‘relax’ to its ground state by emitting energy in the form of one or more photons of electromagnetic radiation.
These photons are called gamma photons/rays (γ). they have a very high frequency and energy. they have neither mass nor charge, and can therefore penetrate matter most effectively. a few inches of lead or about a meter of concrete will stop gamma rays.
their ejection changes neither the atomic number or the mass number.
EX: Silicon-31 going thu B- –> Phosphorus-31 (excited state) -going through gamma decay –> P-31
basically this decay does not change the identity it is simply an expulsion of energy
*pg55
Half life
different radioactive nuclei decay at different rates. the half life is the amount of time it takes for one half of some sample to decay
denoted by t1/2.
the shorter the half life the faster the decay. it decreases exponentially
1 half life= 50% remaining; 2 half-lives = 25%remaining; 3 half-lives = 12.5%; 4 half lives = 6.25%
equation: N = N0 (1/2)^(T/t1/2) or N = N0e^(-kt)
T = the time elapsed; k = decay constant (k= ln(2)/t1/2).
The shorter the half life the greater the decay constant
*pg58
nuclear binding energy
every nucleus that contains both protons and neutrons has a nuclear binding energy
This is the energy that was released when the individuals nucleons (protons and neutrons) were bound together by the strong force to form the nucleus. it’s also equal to the energy that would be required to break up the intact nucleus into its individuals nucleons. the greater the binding energy per nucleon, the more stable the nucleus.
The greater the binding energy per nucleon, the more stable the nucleus.
*pg60
what happens when the nucleons bind together to form the nucleus
some mass is converted to energy, so the mass of the combined nucleus is less than the sum of the masses of all its nucleons individually.
*pg60
Mass defect
symbol: Δm
The difference bw the mass of the combined nucleus and mass of separate nucleons.
It’s energy is equivalent is the nuclear binding energy.
For a stable nucleus the mass defect = (total mass of separate nucleons) - (mass of nucleus) will always be positive
*pg60
Einstein’s equations for mass-energy equivalence
E_b = (Δm)c^2
c = speed of light = 3x10^8 m/s.
Masses can be in Kg and energy in Joules (1 Kg 9x10^16 J)
In the nuclear domain though, masses are often expressed in amu (1 amu = 1.66x10^-27 Kg) and energy in electronvolts (1 eV = 1.6x10^-19 J). so:
E_b (in eV) = [Δm(in amu)] x 931.5 MeV
*pg61
emission spectrum
the light emitted by an element in its gaseous form when electric current is passed through, put through a prism and have its light separated into its components wavelengths.
An atom’s emission spectrum gives an energetic “fingerprint” of that element because it consists of a unique sequence of bright lines that correspond to specific wavelengths and energies. The energies of the photons, or particles of light that are emitted, are related to their frequencies, f, and wavelengths, λ by the equation:
E_photon = hf = h c/λ
h = Planck’s constnt (6.63 x 10^-34 Jxs)
*pg 61-62
what did Bohr propose in his new model
He said that the electrons in an atom orbitted the nucleus in circular paths, like the planets orbit the sun. The distance from the nucleus was related to the energy of the electrons; the greater their energy the farther they were from the nucleus. He also said there were quantized energy states around the nucleus and electrons could only be on one of them (n = 1, 2, 3 ,4, 1 being the closest to the nucleus)
*pg62
what happens when the electrons absorb or lose energy
if electrons absorb energy that’s exactly euqal to the difference in energy between its current level and that of an available higher lever, it “jumps” to that higher level
if electrons lose energy they “drop” to a lower energy level, emitting a photon with an energy exactly equal to the differences between the levels.
Electrons can gain or lose very specific amounts of energy bc of the quantized nature, which is why only photons with certain energies are observed which correspond to very specific wavelengths
*pg62
what did Bohr’s model predict
It predicted that elements would have line spectra instead of continuous spectra (which would be the case if transitions bw all energies could be expected)
*pg62