Explain the mathematical relationship between the speed, wavelength, and frequency of electromagnetic radiation.
Discuss the dual wave-particle nature of light.
Discuss the significance of the photoelectric effect and the line-emission spectrum of hydrogen to the development of the atomic model.
Describe the Bohr model of the hydrogen atom.
The Development of the New Atomic Model
Rutherford’s model needed to be improved
Had no place for the negative charges
What prevented the negative electrons form being drawn into the positive nucleus?
New discoveries about the atom where made using the absorption and emission of light.
Properties of Light
Light behaves as both a wave and a particle
Wave Description of light
Electromagnetic radiation- a form of energy that exhibits wavelike behavior as it travels through space. LIGHT
Electromagnetic spectrum- the combination of all the forms of electromagnetic radiation.
X-rays
Ultraviolet and infrared
Microwaves
Radio waves
All forms of electromagnetic radiation move at constant speed of 3.0 X 108 m/s
The important characteristic of waves is the wavelength
The distance between corresponding points on adjacent waves.
Units are meter, centimeter, nanometer
Frequency- as the number of waves that pass a given point in a specific time, usually one second.
Equation- c=l
v
The photoelectric Effect
Definition- refers to the emission of electrons from a metal when light shines on the metal.
Solar panels make use of the photoelectric effect.
Believed to be due to the particle effect of light.
Quantum- the minimum quantity of energy that can be lost or gained by an atom.
Deals with planks constant.
Photon- is a particle of electromagnetic radiation having zero mass and carrying a quantum of energy.
The hydrogen-Atom Line-Emission Spectrum
Ground State- The lowest energy state of an atom
Excited State-a state in which an atom has a higher potential energy than it has in its ground state.
When electron falls back light of a given wavelength is emitted and color is produced.
Bohr model of the Hydrogen Atom
Due to the discovery of the emission of a photon at given quantum’s of energy.
Bohr discovers the idea of energy levels.
Objectives
Compare and contrast the Bohr model and the quantum model of the atom.
Explain how the Heisenberg uncertainty principle and the Schrodinger wave equation led to the idea of atomic orbitals.
List the four quantum numbers and describe their significance.
Relate the number of sublevels corresponding to each of an atom’s main energy levels, the number of orbitals per sublevel, and the number of orbitals per main energy level.
The Quantum Model of the Atom (Section 4-2)
Electrons as Waves-
Investigations into the photoelectric effect and hydrogen atomic emission revealed that light could behave as both a wave and a particle.
De Broglie- related Bohr’s model to the behavior of waves.
Later proved that electrons could be diffracted and interfere with each other.
The Heisenberg Uncertainty Principle-States that it is impossible to determine simultaneously both the position and velocity of an electron or any other particle.
Schrodinger Wave Equation
Took the idea of dual particle
Backed up Bohr’s theories
Heisenberg and Schrodinger together started the quantum model.
Quantum Theory- describes mathematically the wave properties of electrons and other very small particles.
Orbitals- a three-dimensional region around the nucleus that indicated the probable location of an electron.
Atomic Orbitals and Quantum Numbers
Quantum numbers-Specify the properties of atomic orbitals and the properties of electrons in orbitals.
Principal Quantum Number-
Symbol- n
Indicates the main energy level occupied by the electron
As n increases the electron’s energy and distance from the nucleus increases.
Total number of orbitals = n2
Angular Momentum Quantum Number
Symbol- l
Definition-indicates the shape of the orbital.
Sublevels- orbitals of different shapes.
Number of sublevels = n
Table 4-1
Orbital Letter Designations According to Values of l
l
Letter
Magnetic Quantum Number-
Symbol- m
Indicates the orientation of an orbital around the nucleus.
Spin Quantum Number-
Two possible values (+1/2, -1/2)
Indicates the spin of the electron.
Objectives
List the total number of electrons needed to fully occupy each main energy level.
State the Aufbau principle, the Pauli Exclusion principle,and Hund’s rule.
Describe the electron configurations for the atoms of any element using orbital notation, electron configuration notation, and Nobel-gas notation
Electron Configurations (Section 4-3)
Electron configuration- The arrangement of electrons in an atom.
Rules for Electron configurations
Aufbau principle- an electron occupies the lowest-energy orbital that can receive it
Pauli exclusion principle-no two electrons in the same atom can have the same set of four quantum numbers.
Hund’s rule-orbitals of equal energy are each occupied by one electron before any orbital is occupied by a second electron, and all electrons in single occupied orbitals must have the same spin.
Representing Electron Configurations
Orbital Notation
Orbitals represented by a line
The name of the orbital written under the line
Arrows represent the electrons
Electron-Configuration Notation
Eliminates the lines and the arrows
Number of electrons is shown by a superscript
Noble-Gas notation
Use of the nearest noble gas to shorten the notation