Quantum Flashcards

1
Q

Waves

A

A vibrating disturbance by which energy is transmitted.

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2
Q

Wavelength

A

The distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave.

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3
Q

Amplitude

A

The heights of the peaks or low troughs

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4
Q

Frequency

A

The number of peaks or troughs that pass by a certain point in a certain amount of time

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5
Q

True or False: High amplitude = higher brightness?

A

True

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6
Q

Wavelength units of distance

A

(m/wave)

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7
Q

Frequency units of time

A

(waves/s)

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8
Q

Speed formula

A

distance/time or frequency x wavelength

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9
Q

Frequency formula

A

speed/wavelength

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10
Q

Wavelength formula

A

speed/frequency

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11
Q

Maxwell hypothesis

A

Hypothesized that visible light
consisted of electromagnetic waves

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12
Q

Electromagnetic radiation

A

The transmission of energy in the form of electromagnetic waves

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13
Q

Electromagnetic waves

A

A form of radiation that travel though the universe, they do not need a medium (they travel through a vacuum)

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14
Q

Electromagnetic waves travel at the same speed of

A

c = 2.998 x 10^8 m / s (in vacuum)

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15
Q

Index of refraction

A

Ratio by which velocity of light slows down

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16
Q

Albert Einstein did what

A

Used Mark Planck’s work on the photoelectric effect to show that under certain circumstances, light behaved more like particles NOT waves

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17
Q

Photon

A

Is the smallest piece (quantum) of light

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18
Q

Energy of photons formula

A

E = h x v

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19
Q

Planks constant

A

h = 6.626 x 10^-34 J s

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20
Q

Emission spectra

A

Specific frequencies given off are characteristics of the substance

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21
Q

Emission spectra of atoms

A

Atoms (in gaseous state) do not emit all frequencies
Lines emitted by each element are specific to that element, they are like its fingerprint

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22
Q

Johann Balmer

A

Derived a formula to explain the position of the lines in the visible region of the hydrogen spectrum

23
Q

Johannes Rydberg

A

Generalized to all regions (infrared and ultraviolet)

24
Q

Electron energy levels

A

These lines are the result of an electron going from one energy level to another

25
If an electron goes up in energy it _____ If an electron goes down in energy it _____
1. Asorbs a photon 2. Releases a photon
26
Ground state
Lowest energy state/level
27
Excited states
All the other energy states/levels
28
Rydberg formula
1/λ = R (1/n1^2 - 1/n2^2)
29
Rydberg formula is expressed as
The energy difference between two levels This energy is equal to the energy of the photon that is absorbed or released during the transition
30
Quantum number
Is the number (n)
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Hydrogen energy level
They are all negative, and the ground state is the lowest (most negative)
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The electrical pickle
When electrical current flows through a pickle, the sodium ions are excited to a higher energy level They emit yellow light as they relax down to ground state
33
De Broglie’s Hypothesis
He linked Einstein’s idea about light having particle-like properties with electrons
34
De Broglie’s formula
λ = h / p (p = m * v) Equation implies that a moving particle (mass m & speed v) has an associated wavelength given by λ If you have a wave (with a wavelength λ), it can exhibit particle-like properties (like having a mass) – wave-particle duality
35
C. Davisson & G.P. Thomson
Showed that a beam of electrons could be diffracted by a sample in the same way as X-rays (which are waves)
36
Advanced Atomic Theory
- Rydberg’s equation was a success for the hydrogen atom, but there were unanswered questions - Ex: Theory only worked for hydrogen and other one-electron systems like He+ and Li2+ (with a diff value for R) - Model was incomplete - If electrons are “wavelike”, then how do we define the position of the electron?
37
Heisenberg’s Uncertainty Principle
States that it is impossible to know both the momentum and the position of a particle with certainty
38
Heisenberg’s Uncertainty Principle formula
ΔxΔp≥ h/4π h = Planks constant ΔxΔp = Uncertainties
39
Erwin Schrödinger
- Derived an equation that describes the energies and movement of subatomic particles - Equation combines both particle-like quantities (such as mass) and wave-like quantities such as Ψ, the wavefunction
40
Wavefunction Ψ
Ψ has no physical meaning, but (Ψ2) is related to the probability of finding an electron in a certain region of space
41
Electron density
Describes the probability of finding the electron at any given point at a given time; electron is most likely to be found where the value of Ψ2 is the greatest (highest electron density)
42
Atomic orbital
Related to wavefunction of an electron in an atom – each orbital has a specific energy and distribution of electron density associated with it
43
Quantum numbers
In quantum mechanics, each electron is classified by four quantum numbers
44
1. Principle Quantum Number (n)
- (n) corresponds to the one for the Bohr atom - Can take positive integer values (1, 2, 3, etc.) - In hydrogen atoms (not other atoms), and completely defines the energy of the orbital - Determines the orbital's energy level and size. Higher values of n correspond to higher energy levels and larger orbitals.
45
2. Angular Momentum Quantum Number (ℓ)
- (ℓ) gives the 3-D shape of the orbital and can range from 0 to n-1. - If n = 1, then ℓ can only be 0 - If n = 2, then ℓ can be 0 or 1 - ℓ is generally designated by a letter: s(1), p(2), d(3), f(4)
46
Magnetic Quantum Number (mℓ)
- (mℓ) describes the orientation of orbital (e.g. along the x direction) - ml are integer values from -ℓ to +ℓ (-ℓ, -ℓ + 1, ... 0, ... ℓ - 1, ℓ) – If ℓ= 0, then mℓ must be 0 – If ℓ= 1, then mℓ can be -1, 0, or +1
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Level
A collection of orbitals with the same value of n (ex. 2s & 2p)
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Sublevel
One or more orbitals with the same value of n and ℓ (ex. 2p)
49
s orbitals
- (ℓ = 0) are spherical in shape - Size of orbital increases as n increases - Value (phase) of wavefunction in all s orbitals is always positive - Larger values of n correspond to orbitals that have larger numbers of nodes
50
p oribitals
- “dumb-bell” shape, with one lobe on either side of nucleus - Value (phase) of wavefunction (+ or -) is opposite on two sides of nodal plane - ℓ= 1, therefore there cannot be any p orbitals with n = 1 (n must be larger than ℓ), start at the n = 2 level - Each p sublevel consists of three orbitals (mℓ = -1, 0, +1), generally called px, py, and pz – no simple relation between the subscript and value of mℓ - All three orbitals are identical in size, shape, and energy
51
d orbitals
- ℓ= 2, therefore there cannot be any d orbitals with n = 1 or n = 2, they start at the n = 3 level - Each d sublevel consists of five orbitals (mℓ = -2, -1, 0, +1, +2) - All five can be expressed in a form so they are identical in size, shape, and energy
52
Nodes
Are areas of zero electron density
53