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What is 𝛎 (nu)
symbol for frequency
does electromagnetic radiation travel at different speeds?
no! all electromagnetic radiation travels at 3 × 10^8 m/s or the speed of light.
whats the speed of light
3 × 10^8 m/s = C
3 characteristics of waves
lengths ( λ lambda)
Amp (height)
Frequency ( 𝛎 Nu )
how is wavelength and frequency related?
C = λν, where c is the speed of light
constructive interference
when the amps of two waves combine- making extra stretched wave
destructive interference
when tops and bottoms of 2 seperate waves cancel out leaving a line
Planck’s theory
that energy can only be absorbed or released from atoms in certain amounts - basically energy releases in these little bursts called quanta
Quantum def:
Smallest amount of energy that can be emitted/absorbed as electromagnetic radiation
what is Plancks constant ( h)
= 6.626 × 10 ^ -34 js
relationship between energy and frequency
E = hv
energy = plancks Constant x Nu
this describes that energy comes in little bursts proportional to its frequency.
what does the photoelectric effect describe?
when the surface of a metal is hit by electromagnetic radiation it ejects electrons
however in order for this to happen the photons in the electromagnetic waves must have enough energy
based on the derived equation
E = h(c/λ) ,
the shorter wavelength something has the more energy it will have - therefore the more electrons it will eject
the maximum wavelength for emitting electrons is 550 nm ( which is equivalent to green light)
Bohr Model 3 main ideas
electrons are confined to specific energy states ( orbits)
1)only orbits of specific radii are permitted for electrons in an atom( electrons must stick to that radii??)
2) an electron in a permitted orbit has a specific energy
3)energy is emitted or absorbed by an electron as it moves from one energy state to another
what happens as electrons move between energy states?
as electrons move to lower energy states light is emitted
as electrons move up energy states light is absorbed
Matter Waves
De Brogile’s theory that if light can have material properties- matter should exhibit wave properties
basically matter has waves - for most objects however the wavelength they emit is so small its pointless
leading to this eq: λ= h/mv
where h is plancks constant ( I assume)
m is mass, and v is velocity
Uncertainty principle
Since everything ( materials and light) have both material and wave properties it sets a limit on how precisely we can know the location and momentum of an object
TLDR : cant find the momentum and location of an object at the same time ( measuring one will interfere with the other ) - obv this applies to subatomic particles not like everyday objects
formula involving uncertainty principle
(uncertainty of x )(uncertainty of mv) ≥ h/4pi
what is Ψ?
Ψ wave function ( symbol being psi) describes the behaviour of a quantum mechanical object ( too advanced for me but what is relevant→) Ψ² gives electron density - a region of high electron density = high probability of finding an electron
basically there are orbitals ( not fixed orbits) where electrons are most likely to be found
What do the three quantum numbers tell u ( theory based)
the three quantum numbers tell you where the orbital is , what shape it is and how its oriented.
What is the principle quantum number n?
n is a positive integer - that describes the main energy lvl( or shell), basically how far the orbital is to the nucleaus
n also correlates to the amount of sub shells that are in that energy lvl
a greater n value correlates to being in a shell further away from the electron nucleaus and therefore higher in energy
What is the angular momentum quantum number 𝓁?
𝓁 tells u the shape of the orbital.
maximum possible value for 𝓁 is n -1 ( 𝓁 can be less than the number quite frequently tho)
and each 𝓁 value correlates to a letter that describes the shape of the orbital.
𝓁: 0 1 2 3
s p d f
What is the magnetic quantum number M (subscript 𝓁) ?
correlates to one orbital with a unique orientation is space ( each orbital with a different orientation is a seperate orbital)
maximum value depends on 𝓁 ( thats why 𝓁 is in subscript) , m𝓁 can take on values from -𝓁 to 𝓁. So basically the greater the 𝓁 value, the more complex the shape and the more possible orientations available ( or possible m𝓁 values)
how can u figure out fuckass number of nodes/node types?
total nodes = n-1
however within the total nodes there are two types, angular and radial
angular nodes define the shape - ( having one sphere, vs 2 , vs a clover shape) and the amount of angular nodes is determined by 𝓁
radial nodes are whatever is left over: basically (n-1) - 𝓁 = amount of radial nodes, since in many cases 𝓁 < n - 1
the radial nodes appear in a certain radius from the nucleus, cutting the orbital up into rings kinda
overall shape tho ( like amount of circles around the nucleaus ) is determined by the angular nodes, then the leftover radial nodes cut the orbital up into rings…
how can u tell where nodes are on diagram?
cause the color of the orbital changes as it passes thru a node ( goes from neg to pos if nodes are 0) color of orbital changes as sign changes
whats the funky d orbital?
dz² , its a nodal cone
4th quantum number? M (subscript S)
spin magnetic quantum number - shows wether electron is spin up or spin down values include +1/2 for spin up and -1/2 for spin down.
Pauli’s exclusion principle
no 2 electrons can have the same set of 4 quantum numbers, therefore if they exist in the same orientiaon (m𝓁) one has to be spin up and one has to be spin down
an example of Paulis exclusion principle would be 3 elections in one box ( or 3 elections in the same sub shell orientation?)
Hunds Rule:
for orbitals of the same energy ( n), the lowest energy is attained when the number of electrons with the same spin is maximized. Filling all the spin ups first will help with stability - minimizes electron-electron repulsion.
What orbital does D start with?
D starts with 3d, even though it’s in the 4 line.
what orbital does f start with?
f starts with orbital 4 even though its in line 6
2 Anomaly electron configurations ( memorize)
Cr [ Ar ] 4s^1 3d^5 ( all shells are half filled for stability)
Cu [ Ar ] 4s^1 3d^10 ( all shells are again half filled for stability)
Aufbau Principles
1) lower energy orbitals (n) fill with electrons first’
2) Any orbital can hold up to 2 electrons. 2 electrons in the same orbital must have opposite spins - Pauli exclusion principle
3)if 2 or more orbitals with the same energy are available, one electron fills each shell until are all half filled ( improves stability ) - Hands Rule
what is orbital digram? ( notation)
what is sub shell notation?
draw different orientations for d orbital
electron configuration of cations and anions?