Light is an electromagnetic wave Wave Characteristics Frequency ν number of waves that pass a point in a given period of time Total energy is proportional to amplitude and frequency of waves ID: 728380
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Slide1
Spectroscopy and Electron ConfigurationsSlide2
Light is an electromagnetic wave*.Slide3
Wave Characteristics
Frequency (
ν
)
: number of waves that pass a point in a given period of time
Total
energy
is proportional to amplitude and frequency of waves.
Because
speed of light (c)
is a constant (3 x 10
8
m/s), wavelength and frequency of electromagnetic waves are inversely proportional:
E = h
ν
; c =
νλSlide4
White light is composed of all colors which can be separated into a rainbow, or a spectrum, by passing the light through a prism
.
Each color light has a different wavelength, and, therefore, frequency.
ColorSlide5
5
Amplitude & WavelengthSlide6
Are there other “Colors”?Slide7
The Electromagnetic Spectrum
Visible light comprises only a small fraction of all the wavelengths of light – called the
electromagnetic spectrum.
Short wavelength (high frequency) light has high energy.
- Gamma ray light has the highest energy.
Long wavelength (low frequency) light has low energy.
-
Radiowave light has the lowest energy.Slide8
Electromagnetic SpectrumSlide9
Interactions of light and matter
Emission Transmission
Absorption Reflection
or ScatteringSlide10
What types of light spectra can
we observe?
A hot opaque body produces a
continuous spectrum
, a
complete rainbow of colors without any specific spectral lines
.Slide11
A hot, transparent gas produces an
emission line spectrum
a series of bright spectral lines against a dark background.Slide12
A cool, transparent gas in front of a source of a continuous
spectrum produces an
absorption line spectrum
- a series
of dark spectral lines among the colors of the continuous
spectrum.Slide13
Each chemical element produces its own unique set of spectral lines
.
Oxygen spectrum
Neon spectrumSlide14
Emission and absorption spectra
are inversely related.
Spectra of MercurySlide15
Identifying Elements with
Flame Tests
Na
K
Li
BaSlide16
Exciting Gas Atoms to Emit Light
with Electrical Energy
Hg
He
HSlide17
Analyzing the Hydrogen Emission Spectrum
Rydberg
found the spectrum of hydrogen could be described with an equation that involved an inverse square of integers.Slide18
Bohr Model of Hydrogen Atom
In the Bohr model, electrons:
- have
quantized
energies
.
- have orbits a fixed distance from
the nucleus.
e
-Slide19
The Bohr ModelSlide20
Interference: When Waves InteractSlide21
DiffractionSlide22
Tro, Chemistry: A Molecular Approach
22
2-Slit InterferenceSlide23
If electrons behave like particles, there should only be two bright spots on the target.
Electron DiffractionSlide24
Electron Diffraction
However, electrons actually present an interference pattern, demonstrating they behave like waves.Slide25
The Bohr Model
Integer number of de Broglie wavelengths must fit in the circumference of orbit.Slide26
26
Electron Transitions
To transition to a higher energy state, the electron must
absorb
energy equal to the energy difference between the final and initial states.
Electrons in high energy states are unstable. They will transition to lower energy states and
emit
light.Slide27
Principal Energy Levels in Hydrogen
The wavelengths of lines in the emission spectrum of hydrogen can be predicted by calculating the difference in energy between any two states.Slide28
Bohr Model of H AtomsSlide29
29
Hydrogen Energy Transitions
For an electron in energy state
n
, there are (
n
– 1) energy states to which it can transition. Therefore, it can generate
(
n – 1) lines.Slide30
Chemical Fingerprints
Every atom, ion, and molecule has a unique spectral “fingerprint.”
We can identify the chemicals in gas by their fingerprints in the spectrum.
With additional physics, we can figure out abundances of the chemicals, and much more.Slide31
Other spectroscopy
Many spectroscopic techniques rely on these electronic transitions used with different sources of light.
Energy can also be absorbed and emitted in other “modes” including vibration and rotation, leading to other types of spectra.
OHSlide32
Uncertainty Principle
Heisenberg stated that the product of the uncertainties in both the position and speed of a particle was inversely proportional to its mass.
x
= position,
Δ
x
= uncertainty in position
v = velocity,
Δv = uncertainty in velocitym = massThe more accurately you know the position of a small particle, like an electron, the less you know about its speed.
and vice-versaSlide33
Wave Function,
y
Calculations show that the size, shape and orientation in space of an orbital are determined by three integer terms in the wave function.
added to quantize the energy of the electron
These integers are called
quantum numbers.
principal quantum number,
n
angular momentum quantum number, l
magnetic quantum number,
m
l
spin quantum number,
m
sSlide34
Principal Quantum Number,
n
characterizes the energy of the electron in a particular orbital
corresponds to Bohr’s energy level
n
can be any integer.
The larger the value of
n
, the more energy the orbital has.Energies are defined as being negative.An electron would have E = 0 when it just escapes the atom.The larger the value of n, the larger the orbital.As n gets larger, the amount of energy between orbitals gets smaller. for an electron in H
E
n
= -2.18 x 10
-18
J
1
n
2Slide35
l
= 0, the
s
orbital
Each principal energy state has 1
s
orbital.
lowest energy orbital in a principal energy statesphericalnumber of nodes = (n – 1)Slide36
p
orbitalsSlide37
d
orbitalsSlide38
f
orbitals