CHAPTER 8 ELECTRON CLOUD AND PROBABILITY


8-1, 8-2, 8-3, 8-4, 8-5, 8-6, 8-7, 8-8, 8-9, 8-10, 8-11, 8-12, 8-13, 8-14


8-1 The DeBroglie Hypothesis

Bohr's theory of the atom was revised to include the fine lines of the hydrogen spectrum

DeBroglie suggested that particles have characteristics of waves -it was proven 2 years later BACK TO THE TOP

8-2 The Apparent Contradiction

Electrons can act like particles and like waves

2 sided nature of waves & particles is called wave particle duality of nature
BACK TO THE TOP

8-3 Momentum

Momentum=mass*velocity p=mv

as the momentum of an object increases its wavelength decreases

Quantum mechanics describes the behavior of extremely small particles traveling at velocities near that of light

Speed of ground state e- is 2.19X10(6)m/s BACK TO THE TOP

8-4 Measuring position and momentum

Heisenberg uncertainty principle-the exact position and momentum of an object cannot be determined at the same time BACK TO THE TOP

8-5 Schrodinger's Work

Schrodinger developed a mathematical equation that described the wave like behavior of the electron

The 4 quantum numbers in schrodingers equation are used in describing electron behavior

Probability is ratio between # times e- is in that position divided by the total # times it is at all possible positions BACK TO THE TOP

8-6 Wave-mechanical view of the hydrogen atom

Schrodinger's equation can be used to describe the most probable positions of the hydrogen electron

the position of the electron can best be represented by a cloud

Because of its high speed the electron occupies all the volume defined by the path through which it moves-this volume is called the electron cloud BACK TO THE TOP

8-7 Solving Schrodinger's equation

He+ and H(2)+ are two one electron systems for which Schrodinger's equation has been solved

quantum numbers represent different electron energy states

each electron within an atom can be described by a unique set of four quantum numbers

each electron in an atom can be described by a unique set of 4 quantum numbers, n,l,m,s. BACK TO THE TOP

8-8 Principle Quantum Numbers

The principle quantum number,n, corresponds to the number of the energy level-SHELL, ORBIT BACK TO THE TOP

8-9 Energy Sublevels and orbitals

The second quantum number describes the sublevels in energy level

the number of sublevels in an energy level equals the value of the principle quantum number

sublevels are named, s,p,d,f(named for sharp, principal, diffuse, and fundamental)

s can hold a pair of e-(2), p can hold 3 pairs, d can hold 5 pairs, and f can hold 7 pairs

a pair of electrons is called an orbital BACK TO THE TOP

8-10 Shape of the electron cloud

the size of the charge cloud is not controlled by any single factor

orbitals of the same energy are said to be degenerate

the third quantum number, m, describes the orientation in space of each orbital
BACK TO THE TOP

8-11 Distribution of Electrons

each orbital may contain a pair of electrons

Pauli's exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers

two electrons can occupy the same orbital only if they have opposite spins.

electrons in the same sublevel tend to occupy empty orbitals rather than pair with another electron

Hund's rule-electrons will enter each orbital of equal energy until all of the orbitals contain one electron, the electron spins are parallel in these orbitals

electrons normally occupy the set of orbitals giving the atom the lowest energy
BACK TO THE TOP

8-12 Order of filling sublevels

the 4s fills before the 3d

the arrow diagram on page 157 shows order of filling also use the "ENERGY NUMBER METHOD S=1 P=2 D=3 F=4 ADD SHELL PLUS SUBSHELL EQUAL NUMBERS FILL FROM INSIDE TO OUTSIDE. ELECTRONS ARE LIKE MANY OF YOU THEY WILL GO INTO THE AREA WHERE THEY CAN EXPEND THE LEAST AMOUNT OF ENERGY BACK TO THE TOP

8-13 Electron dot diagrams

Usually only outer energy level electrons are involved in chemical change

In an electron dot diagram, the symbol represents the nucleus and all electrons except those in the outer level

the dots in an electron dot diagram indicate paired and unpaired electrons in the outer energy level BACK TO THE TOP

8-14 Electron Summary

the electron can be thought of as a particle, wave, or a negatively charged cloud

scientist do not have a single, completely satisfactory description of the structure of atoms BACK TO THE TOP



HOME


Virtual Education, Inc.
Virtual Education, Inc
A Non-Profit Education Corporation

For comments, questions,
suggestions or donations

Email Us.


Virtual Education, Inc.
All Rights Reserved, 1998


Website Production Provided by:
Virtual Impact Productions, Inc.