Electromagnetic spectrum Waves, frequency, and energy Photons and energy Orbitals The shapes of atomic orbitals Atomic quantum numbers
Amplitude is the ___ and it determines ___
- Height of a crest or trough
- A lights intensity
Wavelength is the ___ and it determines ___
- Distance between crests or troughs
- A lights color
Frequency (also velocity) is the ___ and it measures ___
- Number of waves that pass a point in a give time
- Wave speed
Total energy of an electromagnetic wave is equal to ___
total energy = the amplitude and frequency of the wave
Characteristics of a low energy wave (3)
- Smaller amplitude
- Longer waves
- Lower frequency (longer waves = lower frequency)
Characteristics of a high energy wave (3)
- Larger amplitude
- Shorter waves
- Higher frequency (shorter waves = higher frequency)
Speed of light constant (c)
3.00x108 m/s
Planck's constant (h)
6.626x10-34 J · s
Wavelength of light formula
wavelength = speed of light ÷ velocity
Frequency of light formula
Frequency (v) = speed of light ÷ wavelength
Energy of a single photon formula
E = h · v
- h is Planck's constant
- v is speed of light ÷ wavelength (frequency formula)
Energy of multiple photons formula
E = n · h · v
- n is # of photons
- h is Planck's constant
- v is speed of light ÷ wavelength (frequency formula)
nm → m
nm → m = multiply by 10-9m
m → nm = divide by 10-9nm
What are the lowest frequencies of light below visible light
- Radio (lowest)
- Microwave
- Infrared
What are the highest frequencies of light above visible light
- Ultraviolet
- X-ray
- Gamma ray (highest)
On an emission spectrum, electromagnetic radiation is ___ by ___ a photon and the electron transitions from a ___ energy level to a ___ one
- Electromagnetic radiation EMITTED by releasing a photon
- Electron transitions from a higher energy level → a lower energy level
(bright lines on a dark background)
On an absorption spectrum, electromagnetic radiation is ___ by ___ a photon and the electron transitions from a ___ energy level to a ___ one
- Electromagnetic radiation ABSORBED by absorbing a photon
- Electron transitions from a lower energy level → a higher energy level
(dark lines on a bright background)
What does quantized mean (2)
- To divide something into small but measurable increments that limit the values or states that it can occupy
- Allows us to make discrete and measurable values
Energy of a single electron constant (E)
E = - 2.178x10-18
Energy spectra of a hydrogen atom formula
E = - 2.178x10-18 J · n2
Energy of an electron transition in a hydrogen atom formula
E = - 2.178x10-18 J · (1/n2f - 1/n2i)
- f is final energy state
- i is initial energy state
What is an orbital (what is it determined by)
- A probability distribution map of where an electron is likely to be found
- Is determined by a set of quantum numbers
Principal quantum number (n) determine the ___ and ___ of the orbital and can only be ___ numbers
- The size and energy of the orbital
- Can only be in integers
Angular momentum quantum number (ℓ) determines the ___ of the orbital and is equal to ___
- The shape of the orbital
- Is = (n - ℓ)
Magnetic quantum number (mℓ) specifies the ___ of the orbital and is equal to ___
- The orientation of the orbital compared to other orbitals
- Is = -ℓ...0...ℓ+ (all integers in-between)
Spin quantum number (ms) specifies the ___ of the electron and represents it as either ___ or ___
- The orientation of the spin of the electron
- (+1/2) = spin up
- (-1/2) = spin down
Level vs. sublevel of orbitals
Level (n) = refers to the total # of energy levels within an atom (contains all orbitals)
Sublevel (s p d f) = Divides up each n level into s p d f levels (only refers to the orbitals within a single n level)
s p d f notation of ℓ quantum numbers
- ℓ = 0 → s
- ℓ = 1 → p
- ℓ = 2 → d
- ℓ = 3 → f
s orbitals have ___ orbitals and ___ electrons
- 1 orbital
- 2 electrons
p orbitals have ___ orbitals and ___ electrons
- 3 orbitals
- 6 electrons
d orbitals have ___ orbitals and ___ electrons
- 5 orbitals
- 10 electrons
f orbitals have ___ and ___ electrons
- 7 orbitals
- 14 electrons
Higher energy levels contain orbitals that are ___ from the nucleus, lower energy levels contain orbitals that are ___ to the nucleus
higher energy levels = further away orbitals
lower energy levels = closer orbitals