Test 4 study Flashcards
What energy does the electron of an H atom have?
E = -2.178 x 10^-18 J (1/n^2)
- E = energy
- n = energy level or principal quantum number (1, 2, 3, …)
How can electron transitions in H atoms be calculated?
Delta E = energy of final state - energy of initial state
- E = -2.178 x 10^-18 J (1/n^2 f) - [-2.178 x 10^-18 J
(1/n^2 f)]
- E = -2.178 x 10^-18 J (1/n^2 f - 1/n^2 i)
What is the Bohr model?
- That an electron can only have specific amounts
of energy - Electrons travel in orbits at fixed distances from
the nucleus - The electron emits radiation moving from a
higher to a lower energy orbit. The distance
between the orbits determines the energy of the
radiation
What is a wavefunction and what are the three main parts of it?
Wavefunction - gives the probability of finding an electron in a volume of space, used to generate orbitals, has three quantum numbers (variables)
1. Principal quantum number, n - orbital energy,
size
2. Angular momentum quantum number, l -
orbital shape
3. Magnetic quantum number, ml - orbital
orientation
What is principal quantum number n? What does it correspond to?
- Characterizes the energy of an electron in a
given orbital - Larger values of n correspond to higher orbital
energy and larger atomic size - n>/= 1; n=0 is the nucleus
- The largest n of any ground state atom is 7
- As n gets larger, the difference between energy
levels gets smaller
What is angular momentum quantum number l?
- Angular momentum quantum numbers (l) have
numeric and letter values
- 0 s, 1 p, 2 d, 3 f, 4 g - A set of orbitals with the same n value is a shell
or level - A set of orbitals with the same nl value is a
subshell/sublevel
What are forbidden orbitals?
- For any orbital, n>1 must always be true
- n = 1, 2, 3, …
- l = 0, …, (n-1) - no n </= l combinations exist
- 1p, 1d, 2d, 1f, 2f, 3f, 1g, 2g, 3g, 4g
What is magnetic quantum number ml?
- Distinguishes the orbitals available within a
subshell - The set of ml values for any subshell is -1, …, 0,
…, 1 - Subshells always have to have an odd number of
orbitals
- l=0 has 1, l=1 as 3, l=2 has 5, l=3 has 7, l=4
has 9
What does the Uncertainty Principle do?
The Uncertainty Principle limits what we know about electron movement
- The best we can do is describe a region with a
high probability of finding an electron using
wavefunctions
- Solving wavefunction gives a 3-D scatterplot,
90% of the points make up an orbital
What is an electron density map?
Electron density maps are like time-elapsed photos of an electron’s position
- They are darker where the electron is more
often found
- The probability of finding an electron at the
nucleus is zero
Is it accurate to think of orbitals as hard containers that trap electrons?
No, don’t think of orbitals as hard containers that trap the electron
- 10% of the time, the electron is outside them
- There’s a 90% probability an electron will be in
the orbital
s Orbitals
- s orbitals are spherical and centered at the
nucleus (l=0) - as n gets bigger, orbital size and energy increase
What are nodes?
Nodes - planar or spherical surfaces where wavefunctions change sine
- Except for 1s, wavefunctions change sign (+/-) at
least once
- The signs have nothing to do with charge
- Electrons are never found at a node
- For any orbital, numbers of nodes = (n-1)
What are radial distribution functions?
These represent the probability of finding an electron at a given distance from the nucleus
- This probability drops off at and far from the
nucleus
- At large n’s electrons are found further from the
nucleus
p Orbitals
- n >/= 2 shells have three degenerate p orbitals
- ml = -1, 0, +1
- Each is centered along a different axis
- They are bilobal (dumbbell-shaped) with a node
at the nucleus (l=1)
What are degenerate orbitals?
- Hydrogen: orbitals with the same value of n are
degenerate (equal in energy( - Other atoms: oly orbitals with the same n and l
are degenerate
d Orbitals
n >/= 3 , shells have five degenerate d orbitals (l=2)
- ml = -2, -1, 0, +1, +2
f Orbitals
n >/= 4, shells have seven degenerate f orbitals (l=3)
- ml = -3, -2, -1, 0, +1, +2, +3
g Orbitals
- g orbitals exist in n >/= 5 shells
- No element uses them in the ground state; the
lightest would be Z = 121 - Has nine subshells, ml = -4, -3, -2, -1, 0, 1, 2, 3, 4
What is an easy way to identify orbitals?
- Dumbbell shape = p, 1 node, n=2, 2p
- Cloverleaf shape = d, 2 nodes, n=3, 3d
- Sphere shape = s, 3 nodes, n=4, 4s
What is a ground state?
All electrons are in lowest energy orbitals possible
What is electron configuration?
A notation for distribution of electrons into the orbitals of a ground state atom
- The number is n, the leter is l, the superscript is
the number of electrons in that sublevel
- Eg. Li: 1s^2 2s^1
What are the two ways to write electrons configurations?
Examples using configuration of vanadium
- Regular: 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^3
- Empirical gas: [Ar] 4s^2 3d^3
What is an orbital diagram?
Electrons are drawn as arrows, orbitals as boxes
- Same data as electron configuration plus
electron spin
- An orbital can hld 0, 1, or 2 electrons
- If it holds 2, the spins must be opposed