Electromagnetic Radiation and the Bohr Model of the Atom

Electromagnetic Radiation Electromagnetic Radiation and the Bohr Model of the and the Bohr Model of the

AtomAtomObjective: Students will Objective: Students will

understand the Bohr model of the understand the Bohr model of the atom by understanding light.atom by understanding light.

Review: Rutherford’s ModelReview: Rutherford’s Model

Rutherford’s Contributions Rutherford’s Contributions

• 1. He discovered the nucleus

• 2. Found atom to be mostly empty space.

• 3. Knew that the Electrons went around the atom

Rutherford’s FailureRutherford’s Failure

• He couldn’t explain why the negative electrons aren’t attracted into the positive nucleus, causing the atom to collapse.

http://www.colorado.edu/physics/2000/waves_particles/wavpart2.html

Neils Bohr

Anyone who isn’t shocked by quantum theory doesn’t understand it.

What are the components of a What are the components of a wave?wave?

• A wave has frequency and wavelength

FrequencyFrequency

• The # of peaks that pass by in a given amount of time

• Hz = 1/sec

• MHz = 1,000,000/sec

• KHz = 1,000/sec

Electromagnetic RadiationElectromagnetic Radiation

Name Several Types of electromagnetic Radiation(325)

How do waves differ? How do waves differ?

• They have different wavelengths

• They have different frequencies

• They have different energies

How are they different?How are they different?

• They have different frequencies • They also have different energies

Click here to see how they differ

Then here to see how they are the same!

What do they all have in common? What do they all have in common?

• They all travel at the speed of light

• 3.00 x 108 meter/sec

Wavelength and Frequency Wavelength and Frequency

• If the λ = 2 meters and υ = 10/sec, find the speed

• λ x υ = speed

• 2 meters x 10/sec = 20.0 meters/sec

• 5 meters x ______ = 20.0 meters/sec

• So frequency and wavelength are inversely proportional

KSL Radio’s Wavelength KSL Radio’s Wavelength

• KSL broadcasts at 1160 KHz. Find the λ of KSL’s signal.

• 1160KHz = 1160000 /sec

• Wavelength x frequency = speed

• λ x 1160000 = 3.0 x108 m/sec

(3.0 x108 m/sec)/(1160000/sec) = 258 meters

What is a PhotonWhat is a Photon

• Photons are light particles. A bundle of energy

Energy of PhotonsEnergy of Photons

• The energy of a photon is given by this equation E = υ h.

• The symbol “h” represents Planck’s constant. It has a value of

KSL 1160KSL 1160

• Find the Energy of a photon of light produced by KSL (1160 KHz)

• E = υ h

• E = 1160000 s-1 x 6.626 x 10-34 Js

• E = 7.69 x 10-28 J

Energy and FrequencyEnergy and Frequency

• How are Energy and υ related?

• The higher the frequency the greater the energy.

• How are Energy and λ related?

• The lower the energy the longer the λ

Radio WavesRadio Waves

• Turn your book to page 325. What is the electromagnetic with the lowest energy?

Who or what is Roy G Biv?Who or what is Roy G Biv?

• An acronym for the colors of the rainbow. It is not a person.

Hydrogen and Roy G BivHydrogen and Roy G Biv

• The colors emitted when energy is passed through hydrogen is

The Quantum AtomThe Quantum Atom

• Atoms are quantized because they only emit light at certain frequencies and energies.

• A Quantum is the smallest quantity of radiant energy.

A Staircase Not a RampA Staircase Not a Ramp

• Look at pg 330 Figure 11.15. Like a staircase, the atom has specific energies. A ramp has infinitely small divisions.

What Does “N” represent?What Does “N” represent?

• The Energy Levels inside the atom

What values can N haveWhat values can N have

• 1, 2, 3, ….

• In the hydrogen atom, where does the electron reside?

• In the lowest energy level or n=1

• The electron can move up to higher energy levels by absorbing photons.

• We then say the electron is excited

A relaxing electronA relaxing electron• What happens when an electron relaxes?

• It falls from a high energy level to a lower one.

• What happens to the extra energy?

• It is emitted in the form of light.

• The further an electron falls the more energy it gives off

What Gives off the Most Energy?What Gives off the Most Energy?

Higher Energy

Lower Energy

Finding the energy of n=3Finding the energy of n=3

• The equation to find the energy of the hydrogen energy levels is

• E = -2.178 x 10-18 J (1/N2)

• E = -2.178 x 10-18 J (1/32)

• E = -2.42 x 10-19 J

Finding the difference Finding the difference between n=2 and n=3between n=2 and n=3

• For N=2, E = -5.45 x 10-19 J

• For N=3, E = -2.42 x 10-19 J

• What happens if an electron falls from N=3 to N=2?

• Just take n=2 and subtract n=3, that gives you ΔE

• ΔE = 3.0 x 10-19 J

Calculate the Calculate the υυ

• E = υ h • 3.03 x 10-19 J = υ h• 3.03 x 10-19 J = υ x 6.626 x 10-34Js• υ = 4.57x 1014 Hz

• λ x υ = 3.03 x 108 meters/sec

• λ x 4.57x 1014 = 3.0 x 108 meters/sec

• λ = 6.56 x 10-7 meters

The Lyman and Balmer seriesThe Lyman and Balmer series

• If an electron falls to n=1, the energy is to high for us to see.

• It can be detected but it falls into the UV spectrum

Ultra Violet, Infra Red, VisibleUltra Violet, Infra Red, Visible

• Where the electron falls to determines the type of light it produces.

• If it falls to the n=3, it produces IR.

• We can only se it if it falls to the n=2

The absorption Spectrum The absorption Spectrum

Quiz #1 Quiz #1

• 1. What was the shortcoming of the Rutherford model of the atom?

• a. It couldn’t explain how the electron stayed in orbit.

• b. It couldn’t explain the existence of electrons.

• c. It couldn’t explain the existence of protons.

• 2. Who improved the Rutherford model?

• a. Dalton

• b. JJ Thompsonc. Neils Bohr

• d. Max Plank

• 3. Who is the constant “h” named after?

• a. Dalton

• b. JJ Thompsonc. Neils Bohr

• d. Max Plank

• 4. Which has the longest wavelength?

• a. Red Light

• b. UV Lightc. IR Light

• d. Violet Light

• 5. Which form of electromagnetic energy has the most energy?

• a. Red Light

• b. UV Lightc. IR Light

• d. Violet Light

• 6. Which element’s spectrum did Bohr explain?

• a. Helium

• b. Hydrogenc. Carbon

• d. Oxygen

• 7. Which has the lowest energy in the visible spectrum?

• a. Red Light

• b. UV Lightc. IR Light

• d. Violet Light

• 8. Who found energy levels in the atom?

• a. Dalton

• b. JJ Thompsonc. Neils Bohr

• d. Max Plank

• 9. W?

• a.

• b. c.

• d.

• 10. Which electronic transition gives off the most energy in the hydrogen atom?

• a. N2 to N1

• b. N3 to N2c. N4 to N3

• d. N4 to N2