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Chapter 7 Electrons in Atoms

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Page 1: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Chapter 7Electrons in Atoms

Page 2: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Properties of Electrons• Electrons display both particle properties and

wave properties.• Electrons were discovered by JJ Thompson• Thompson also measured the charge/mass

ratio• Milikan was able to determine the charge on

an electron• Davisson and Germer discovered the wave

nature of an electron at Bell Labs in 1927

Page 3: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Atom ModelDifferent models of atoms• Thompson developed the plumb pudding model

of an atom 1898• Rutherford suggested the planetary model (i.e.

electrons orbit the nucleus)• Bohr applied concepts of quantization to

Rutherford’s model to develop the Bohr model• Bohr model lasted 10 years, and was replaced by

a wave model, called the quantum mechanical model, based on the wave nature of electrons.

Page 4: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Properties of Waves

Wavelength (m)Amplitude (m)Speed 3.0X108

Energy (j)

m/s

Frequency (1/s, Hz)

Energy has properties of waves, for example electromagnetic energy

Page 5: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Properties of Waves• Wavelength () is the

distance from one wave crest to another in meters.

• The frequency () of a wave expresses the number times a wave passes a given point in some unit of time in 1/s.

• Amplitude of a wave is the height of the crest or depth of the trough with respect to the center line of the wave in meters.

Page 6: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electromagnetic Radiation

10-12 10-10 10-810-7 10-4 10-2 100 102

Gamma rays X- rays Uv-rays Visible rays

Infrared rays

MicroWaves(Radar)

Radio and Television waves

Increasing wave length in meters

Increasing energy

Page 7: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Visible Radiation

Page 8: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electromagnetic RadiationOur major source of EM comes from our sun.

EM travels at the speed of light 3.0x108m/s

Has both wave properties and particle properties

Photons are the particles possessed by EM

Page 9: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Behavior of Waves• Waves refract or bend when they pass from one

medium to another with different densities.

• Diffraction is the bending of electromagnetic radiation as it passes around the edge of an object or through narrow openings.

• Interference is the interaction of waves that results in either reinforcing their amplitudes or canceling them out.

Page 10: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Diffraction and Interference

Page 11: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Refraction

R

G

OY

BIV

The shortest wave lengths bend longer ones, thus violet is the shortest

Davisson and Germer discovered the wave nature of an electron at Bell Labs in 1927 by observing electron diffraction.

White Light

Page 12: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Evidence of Quantization

The red-orange light from hydrogen gas passes

through a prism to form a line spectra. Each different colored light has its own unique energy.

Page 13: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Atomic Spectrum of Sodium

Page 14: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ
Page 15: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Absorption Spectra

Page 16: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Types of Spectra• Atomic emission spectra consist of bright

lines on a dark background.

• Atomic absorption spectra consist of characteristic series of dark lines produced when free gaseous atoms are illuminated by external sources of radiation.

Page 17: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Hydrogen Line Spectrum

Page 18: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Quantum Theory• Max Planck proposed that light can have

both wavelike and particle-like properties.• A quantum is the smallest discrete quantity

of a particular form of energy.• Particles of radiant energy are known as

quanta.• Quantum theory is based on the idea that

energy is absorbed and emitted in discrete quanta.

Page 19: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Quantum Theory• Something that is quantized has values that

are restricted to whole-number multiples of a specific base value.

• The energy of a quantum of radiation is: E = h where h is Planck’s constant h = 6.6260755 x 10-34 J•s Or E = hc/

Page 20: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Particle Nature• Each packet of

electromagnetic radiation energy is called a quantum.

• Einstein called the packets photons.

Page 21: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Photoelectric Effect• The photoelectric effect is

the release of electrons from a metal as a result of electromagnetic radiation.

• The photoelectric effect can be explained if electromagnetic radiation consists of tiny particles called photons.

Page 22: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Hydrogen Spectrum• Johannes Rydberg revised Balmer’s equation

to describe the complete hydrogen spectrum.

1

= (1.0097 x 10 -2 (nm)-1)

1

n12 -

1

n22

N1 is a whole number that remains fixed for a series of calculations in which n2 is also a whole number with values of n1+1, n1+2,… for successive line in the spectrum.

Page 23: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Example What is the wavelength of the line in the

visible spectrum corresponding to n1 = 2 and n2 = 4?

Page 24: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Bohr Model• The electron in a hydrogen atom occupies a

discrete energy level and may exist only in the available energy levels.

• The electron may move between energy levels by either absorbing or emitting specific amounts of energy.

• Each energy level is designated by a specific value for n, called the principal quantum number.

Page 25: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Energy of Electronic Transitions• Neils Bohr derived the following formula for the

possible energy differences (E) be any pair of energy levels with values n1 and n2.

E = 22me4

h2

1

n12 -

1

n22

m and e is the mass and charge of the electron.

Page 26: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Hydrogen Spectrum

• An energy level is an allowed state that an electron can occupy in an atom.

• Movements of electrons between energy levels are called electron transitions.

Page 27: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electronic States• The lowest energy level available to an electron in

an atom is its ground state.

• An excited state of an electron in an atom is any energy state above the ground state.

Page 28: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

In terms of the Bohr model absorption and emission looks like this.

Excited and Relaxed Electrons

Page 29: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electrons move between energy levels by absorbing and emitting energy in the form of light.

We call the lowest energy level the ground state. The higher energy level is called the excited state.

Excited and Relaxed Electrons

Page 30: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Problems with the Bohr Model • The Bohr model applies only to one electron atoms.• The Bohr model doesn’t account for the observed

spectra of multielectron elements or ions.• The movement of electrons in atoms is much less

clearly defined than Bohr allowed.

Page 31: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Particle or Waves?• If electromagnetic radiation behaves as a

particle, de Broglie reasoned, why couldn’t a particle in motion, such as an electron, behave as a wave?

• de Broglie’s Equation = h/mu (m in kg and u in m/s)

Page 32: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electrons as Waves• De Broglie reasoned that

an electron in a hydrogen atom could behave as a circular wave oscillating around the nucleus.

• If electrons are moving around the nucleus in a continuous manor, the state of the electron must be described by a quantum number, n.

Page 33: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Tacoma Narrows Bridge

http://www.youtube.com/watch?v=P0Fi1VcbpAI

Page 34: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Uncertainty Principle• Quantum mechanics allows us to predict the

probabilities of where we can find an electron.• We cannot map out on the path an electron

travels. The Heisenberg’s uncertainty principle

says that you cannot determine the position and momentum of an electron at the same time.

Page 35: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electron Wave Equations• The description of the behavior of particles as

waves is called wave mechanics or quantum mechanics.

• The mathematical description of an electron wave is called the wave equation.

• Wave functions, , are mathematical descriptions of the motion of electron waves as they vary with location and with time.

Page 36: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Quantum Numbers• The principle quantum number, n, is a

positive integer that indicates the shell and relative size of orbital(s).

• The angular momentum quantum number, l, is an integer from zero to n-1. It defines the shape of the orbital and subshell.

Value of l 0 1 2 34 Letter identifier s pd f g

Page 37: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Quantum Numbers

• The magnetic quantum number, ml, is an integer with a value from -l to +l. It defines the orientation of an orbital in the space around the nucleus of an atom.

• The spin magnetic quantum number, ms, is to account for the two possible spin orientations. The values for ms are +1/2 and -1/2.

Page 38: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Quantum Number Relationships

Page 39: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electron IdentifierIt takes a total of 4 quantum numbers to identify an electron in a particular atom. Like it’s student ID no.

4py+1/2

spin QN; ms=1/2 (clockwise or counterclockwise

magnetic QN; ml=0 (shape orientation) angular momentum QN; l=1 (volume shape)

principal QN; n=4 (size and energy)

Page 40: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Quantum Numbers

n l m l # orbitals

1 0 0 1

2 0 0 1

1 -1,0,+1 3

3 0 0 1

1 -1,0,+1 3

2 -2.-1,0,+1,+2 5

4 0 0 1

1 -1,0,+1 3

2 -2.-1,0,+1,+2 5

3 -3,-2.-1,0,+1,+2,+3 7

Page 41: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Practice What are the letter designations of all the subshells

in the n = 5 energy level or shell? What is total number of orbitals in the n = 5 shell?

Page 42: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Shape and Sizes of Orbitals

• Psi squared, 2, defines the space, called an orbital, in atom where the probability of finding an electron is high.

• A radial distribution plot is a graphical representation of the probability of finding an electron in a thin spherical layer near the nucleus of an atom.

Page 43: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Probability Electron Density for

1s Orbital

Page 44: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Comparison of s Orbitals

Page 45: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Three 2p Orbitals

Page 46: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Five 3d Orbitals

Page 47: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Assigning Quantum Numbers• Pauli’s exclusion principle - no two

electrons in an atom may have the same set of four quantum numbers. An orbital can only hold two electrons and

they must have opposite spins.

Page 48: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Practice Write the set of quantum numbers which describe each electron in the three 2p orbitals.

Page 49: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Practice

Which of the following combinations of quantum number are allowed?

1. n = 1, l = 1, ml = 0

2. n = 3, l = 0, ml = 0

3. n = 1, l = 0, ml = -1

4. n = 2, l = 1, ml = 2

Page 50: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Orbital Energy Notation

E

3s 3p 3d

2s 2p

1s

Hydrogen Atom

Page 51: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Many Electron Atoms• They do not follow the diagram for the

hydrogen atom.

• As l changes the energy of the orbital changes The lower the value of l the lower in

energy the subshell

Page 52: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Beyond the 3p subshell the orbitals don’t fill in an obvious way.

For example the 4s level lies lower in energy than the 3d .

Sublevel Relative Energies

Page 53: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Multi-electron Orbital Notation

Page 54: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Terms• Orbitals that have the exact same

energy level are degenerate.• Core electrons are those in the filled,

inner shells in an atom and are not involved in chemical reactions.

• Valence electrons are those in the outermost shell of an atom and have the most influence on the atom’s chemical behavior.

Page 55: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The way in which electrons are organized into shells, subshells and orbitals in an atom is called the electronic configuration.

The electronic configuration of an atom can be determined using the “Aufbau rule” also known as the “building up principle”.

Aufbau comes from the German

meaning construction although it was

the Danish physicist Neils Bohr who

came up with the idea !!

Electron Configuration

Page 56: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Aufbau Principle states that:

“The orbitals of lower energy are filled in first with the electrons and only then the orbitals of high energy are filled.”

What is the lowest energy orbital of an atom?

What is the third lowest energy orbital of an atom?

Aufbau Principle

Page 57: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Aufbau Principle states that:

“The orbitals of lower energy are filled in first with the electrons and only then the orbitals of high energy are filled.”

What is the lowest energy orbital of an atom?

1s orbital

What is the third lowest energy orbital of an atom?

Aufbau Principle

Page 58: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The Aufbau Principle states that:

“The orbitals of lower energy are filled in first with the electrons and only then the orbitals of high energy are filled.”

What is the lowest energy orbital of an atom?

1s orbital

What is the third lowest energy orbital of an atom?

2p orbital

Aufbau Principle

Page 59: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

Aufbau Principle

Page 60: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

1s subshell

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

Aufbau Principle

Page 61: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

1s subshell

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

Aufbau Principle

Page 62: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

1s subshell

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

Aufbau Principle

Page 63: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

Aufbau Principle

Page 64: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

Aufbau Principle

Page 65: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a Li atom?

Li has Z = 3 so has 3 e-.

We can write this in shorthand as 1s22s1

Aufbau Principle

Page 66: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

If there are multiple orbitals with the same energy how do we decide which orbital to put an electron?

We use Hund’s rule which states:

“Electrons will not join other electrons in an orbital if an unoccupied orbital of the same energy is available”

Hund’s Rule

Page 67: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

As we have seen previously for p, d and f subshells there are multiple orbitals with the same energy.

In particular:

• p subshells have three orbitals with the same energy

• d subshells have five orbitals with the same energy

• f subshells have seven orbitals with the same energy

Each of these orbitals may accommodate a maximum of two electrons.

Degenerate Orbitals

Page 68: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Using Hund’s rule how would we put three electrons in a p subshell ?

px pzpy

p subshell

px pzpy

p subshell

Hund’s Rule

Page 69: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

When we do put two electrons in one orbital then they obey the Pauli exclusion principle.

“only electrons with opposite spin can occupy the same orbital”

px pzpy

p subshell

px pzpy

p subshell

Pauli Exclusion Principle

Page 70: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

Orbital Notation

Page 71: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

We can write this in shorthand as 1s22s22p3

Orbital Notation

Page 72: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

Orbital Notation

Page 73: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

Orbital Notation

Page 74: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

Orbital Notation

Page 75: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

2p subshell

Orbital Notation

Page 76: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

2p subshell

Orbital Notation

Page 77: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

2p subshell

Orbital Notation

Page 78: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

2s subshell

1s subshell

How would we use our rules to “build up” the electron configuration of a N atom?

N has Z = 7 so has 7 e-.

We can write this in shorthand as 1s22s22p3

2p subshell

Orbital Notation

Page 79: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Orbital Diagram Configuration

1s 2s 2p1s 2s 2p

H: 1sH: 1s11

He: 1sHe: 1s22

Li: 1sLi: 1s222s2s11

Be: 1sBe: 1s222s2s22

B: 1sB: 1s222s2s222p2p11

Page 80: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Orbital Diagram Configuration

1s 2s 2p1s 2s 2p

oror

C: 1sC: 1s222s2s222p2p22

C: 1sC: 1s222s2s222p2p22

Hund’s Rule tells us which configuration is correctHund’s Rule tells us which configuration is correct..

Page 81: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Orbital Diagram Configuration

1s 2s 2p1s 2s 2p

C: 1sC: 1s222s2s222p2p22

N: 1sN: 1s222s2s222p2p33

O: 1sO: 1s222s2s222p2p44

F: 1sF: 1s222s2s222p2p55

Ne: 1sNe: 1s222s2s222p2p66

Electron Configuration

Page 82: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electron Configurations

K K 1s1s222s2s222p2p663s3s223p3p664s4s1 1 or [Ar]4sor [Ar]4s11

Ca Ca 1s1s222s2s222p2p663s3s223p3p664s4s2 2 or [Ar]4sor [Ar]4s22

Sc Sc 1s1s222s2s222p2p663s3s223p3p664s4s223d3d1 1 or [Ar]4sor [Ar]4s223d3d11

Ti Ti 1s1s222s2s222p2p663s3s223p3p664s4s223d3d2 2 or [Ar]4sor [Ar]4s223d3d22

V V 1s1s222s2s222p2p663s3s223p3p664s4s223d3d3 3 or [Ar]4sor [Ar]4s223d3d33

Cr Cr 1s1s222s2s222p2p663s3s223p3p664s4s113d3d55 or [Ar]4sor [Ar]4s113d3d55

Mn Mn 1s1s222s2s222p2p663s3s223p3p664s4s223d3d55 or [Ar]4sor [Ar]4s223d3d55

Cu Cu 1s1s222s2s222p2p663s3s223p3p664s4s113d3d1010 or [Ar]4sor [Ar]4s113d3d1010

••••••

Fourth Period Elements

Page 83: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Anomalies in Configurations • Chromium and Copper do not follow the

pattern of the other elements. You should remember these two families,

because other elements in these families exhibit the same types of configurations

• You can use the Periodic Table to guide you in writing electron configurations.

Page 84: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

There is an easy way to remember the sequence of the energies of the subshells.

Diagonal Rule

Page 85: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Using the Periodic Table

Page 86: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Practice

Write the electron configuration for Pt.

Write the electron configuration for I-.

Write the electron configuration for Rh2+.

Page 87: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electron Configurations of Ions• Start with the configuration for the neutral

atom, then add or remove electrons from the valence shells to make the desired ion.

• Atoms or ions that are isoelectronic with each other have identical numbers and configurations of electrons.

Page 88: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Sizes of Atoms and Ions

Page 89: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Orbital Penetration andOrbital penetration occurs when an electron in an outer orbital has some probability of being close to the nucleus

•Penetration ability follows this order: s > p > d > f.

Page 90: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Penetration Ability of s Orbitals

Page 91: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Effective Nuclear ChargeEffective nuclear charge (Zeff) is the attractive force toward the nucleus experienced by an electron in an atom, usually the outer (valence electrons).

• Electrons in between the nucleus and the designated electron shield the designated electron from the nucleus.

• Electrons between the nucleus and the designated electron also repelled the designated electron

• Shielded electrons are further away from the nucleus than they would be if not shielded

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Radii of Atoms and Ions

Page 93: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Ionization Energy The quantity of energy required to

remove 1 mole of electrons from 1 mole of the gaseous atom or ion.

X(g) ---> X+(g) + e-(g)

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Ionization Energy Trends

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Ionization Energies

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Periodic Trends• First ionization energy:

increases from left to right across a period;

decreases going down a group.

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Successive Ionization Energies (kJ/mol)

Elements IE1 IE2 IE 3 IE4 IE5 IE6

H 1312

He 2372 5249

Li 520 7296 12040

Be 897 1758 15050 21070

B 801 2426 3660 24682 32508

C 1087 2348 4617 6201 37926 46956

N 1402 2860 4581 7465 9391 52976

O 1314 3383 5298 7465 10956 13304

IE1is the first ionization energy, which is the energy to remove a valence electron from an atom to produce a cation.

IE2 is the second ionization energy and is the energy required to remove the second electron from a cation.Note: IE2>IE1, since more energy is required to remove an electron from a positive ion

compared to a neutral atom.

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Successive Ionization Energies (kJ/mol)Elements IE1 IE2 IE 3 IE4 IE5 IE6

H 1312

He 2372 5249

Li 520 7296 12040

Be 897 1758 15050 21070

B 801 2426 3660 24682 32508

C 1087 2348 4617 6201 37926 46956

N 1402 2860 4581 7465 9391 52976

O 1314 3383 5298 7465 10956 13304

Note: The large jump in ionization energy to the right of the red line is due to destroying the noble gas configuration, which we know to be very stable. Also notice that ionization energy increases as we remove an electron from a more positive cations, going left to right

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THE END

Page 100: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

ChemTour: Electromagnetic Radiation

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This ChemTour explores the relationship of frequency, wavelength, and energy using animations, interactive graphs, and equations. The quantitative exercises include graph reading and calculations using Planck’s constant and the speed of light.

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ChemTour: Light Diffraction

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This animation recreates Thomas Young’s double-slit experiment and demonstrates how constructive and destructive interference occur.

Page 102: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

ChemTour: Doppler Effect

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A boat moving with or against the direction of wave movement demonstrates the motion-induced shifts in wavelengths and frequency that are examples of the Doppler effect.

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ChemTour: Light Emission and Absorption

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This ChemTour examines the emission and absorption spectra for sodium and hydrogen and relates them to energy level transitions.

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ChemTour: Bohr Model of the Atom

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This ChemTour explores the idea that energies of electrons surrounding atomic nuclei are quantized. In Practice Exercises, students learn to calculate the energies of specific states of hydrogen, and the energies involved in electronic transitions.

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ChemTour: de Broglie Wavelength

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In this ChemTour, students learn to apply the de Broglie equation to calculate the wavelength of moving objects ranging from baseballs to electrons. Includes Practice Exercises.

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ChemTour: Quantum Numbers

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In this ChemTour, students explore the rules for designating quantum numbers. Includes Practice Exercises.

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ChemTour: Electron Configuration

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This ChemTour explains how electrons are distributed within atomic orbitals. Students learn how to determine an element’s electron configuration and learn how to complete an orbital box diagram. Includes practice exercises.

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Suppose two photons combine in a crystal to form a single photon of green light or "green photon."

Which of the following could be the colors of the two combining photons?

A) Green & green B) Blue & yellow C) Infrared & infrared

 

Combining Two Photons

Page 109: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Combining Two Photons

Please consider the following arguments for each answer and vote again:

A. A green photon can only be produced by the combination of two other green photons of the same wavelength.

B. The color green is the result of combining the colors blue and yellow, just as a green photon will result from the combination of blue and yellow photons.

C. Only two infrared photons have the proper total energy needed to form a green photon.

Page 110: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

An electron in the ground state absorbs a single photon of light and then relaxes back to the ground state by emitting an infrared photon (1200 nm) followed by an orange photon (600 nm).       

What is the wavelength of the absorbed photon? A) 400 nm B) 600 nm C) 1800 nm

 

Absorption and Fluorescence of Light

Page 111: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Absorption and Fluorescence of Light

Please consider the following arguments for each answer and vote again:

 A. The wavelength is inversely proportional to the energy,

so for energy to be conserved the absorbed photon must have a wavelength of 400 nm.

B. The wavelength of the absorbed photon is the difference of the wavelength of the two emitted photons, which is 600 nm.  

C. For the energy to be conserved, the sum of the wavelengths must be conserved. So the wavelength of the absorbed photon is 1800 nm.

Page 112: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

The diagram to the left depicts the interference pattern that results from the constructive and

destructive interference of light waves that are diffracted as they pass through two slits. If the pattern is the result of green light passing through two slits, which of the following patterns would be the result of blue light passing through the same two slits?

A) B) C)

 

Two-Slit Diffraction and Interferometry

Page 113: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Two-Slit Diffraction and Interferometry

Please consider the following arguments for each

answer and vote again:

A. The wavelength of blue light is shorter than that of green light, so constructive and destructive interference occurs at smaller intervals.

B. The interference pattern is dependent only on the width of and distance between the two slits. Therefore, the interference pattern should not change.

C. Blue light is higher in energy than green light and therefore would be less affected by the two slits.

Page 114: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

When a photon of red light hits metal X, an electron is ejected. Will an electron be ejected if a photon of yellow light hits metal X?

 

Photoelectric Effect: Red and Yellow Light

A) Yes B) No C) Can't tell

Page 115: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Photoelectric effect: Red and Yellow Light

Please consider the following arguments for each answer and vote again:

A. Photons of yellow light possess more energy than photons of red light, so a yellow photon also must eject an electron.

B. Each metal has a specific wavelength of light that will cause electrons to be ejected. If red light has the correct wavelength, yellow cannot.

C. Whether a yellow photon will eject an electron from the metal will depend on how tightly the electron is bound to the metal.

Page 116: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

When a photon of blue light hits metal X, an electron is ejected. Will an electron be ejected if a photon of green light hits metal X?

 

Photoelectric Effect: Blue and Green Light

A) Yes B) No C) Can't tell

Page 117: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Photoelectric effect: Blue and Green Light

Please consider the following arguments for each answer and vote again:

A. So long as enough photons of light hit the metal, an electron will always be ejected, regardless of the wavelength of the light.

B. The energy of a blue photon is higher than the energy of a green photon so an electron removed with blue light will not be removed with green light.

C. Whether a green photon will eject an electron from the metal will depend on how tightly the electron is bound to the metal.

Page 118: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Photoelectric Effect: Kinetic Energies of Electron

A 300-nm photon can eject an electron from a metal surface with a certain kinetic energy. What photon wavelength would be required to eject an electron from the same metal surface with twice the kinetic energy?

A) 150 nm B) 200 nm C) 600 nm

Page 119: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Photoelectric Effect: Kinetic Energies of Electrons

Please consider the following arguments for each

answer and vote again:

A. To eject an electron with twice the kinetic energy, twice the energy must be provided by the photon, so the photon wavelength must be halved.

B. A photon with a wavelength of 200 nm will overcome the work function and provide twice the kinetic energy.

C. To double the kinetic energy of the ejected electron, the wavelength of the impacting photon also must be doubled.

Page 120: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

De Broglie Wavelengths of H20 Molecules

Suppose a hydrogen molecule (1H2) is traveling at 800 m/s and a deuterium molecule (2H2) is traveling at 400 m/s. What can be said of the de Broglie wavelengths of the two molecules?

A) λH > lD B) λH < lD C) λH = lD

Page 121: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

De Broglie Wavelengths of H2O Molecules

Please consider the following arguments for each answer and vote again:

A. The kinetic energy of the deuterium molecule is twice that of the hydrogen molecule. Therefore, the deuterium molecule will have a shorter de Broglie wavelength.

B. Because the speed of the hydrogen molecule is greater than the speed of the deuterium molecule, the de Broglie wavelength of the hydrogen molecule will be shorter.

C. The hydrogen molecule and the deuterium molecule have the same momentum and therefore will have the same de Broglie wavelength.

Page 122: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Laser Cooling of Sodium Atoms

One method for decreasing the temperature of atoms, known as laser cooling, involves bombarding an atom with photons of light, decreasing its overall momentum and thus its kinetic energy (just like one could slow a fast-moving car by colliding it with another car).

A sodium atom at a temperature of 60 K has a de Broglie wavelength of 66 pm (6.6x10-11 m). Approximately how many photons of red light (at λ = 660 nm) would it take to stop a sodium atom at 60 K?

A) ~1 B) ~102 C) ~104

Page 123: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Laser Cooling of Sodium Atoms

Please consider the following arguments for each answer and vote again:

A. A photon travels ~105 times faster than a sodium atom. Therefore, only one photon is required.

B. The kinetic energy of a sodium atom is ~100 times less than the kinetic energy of a red photon.

C. The de Broglie wavelength of a sodium atom at 60 K is ~104 times shorter than the wavelength of a red photon, so it will take 104 photons to stop a single sodium atom.

Page 124: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Transmission of Light through a Color Filter

What color will a yellow object appear when it is seen through a filter with the absorption spectrum shown to the left?

A) Yellow B) Blue C) Black

Page 125: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Transmission of Light through a Color Filter

Please consider the following arguments for each answer and vote again:

A. The filter absorbs no yellow light, so the object will appear yellow.

B. Blue light is absorbed by the filter, so an object seen through the filter will appear blue.

C. No yellow light is absorbed by the filter, so the object will appear black.

Page 126: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Emission Spectra

Photon emission from a system possessing the energy level diagram to the left would produce which of the following spectra?

A) B) C)

Page 127: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Emission Spectra

Consider the following arguments for each answer and vote again:

A. The photon wavelength depends only on the energy of the lowest state, so only 1 wavelength is possible.

B. There are 2 possible transitions—one from each of the 2 upper levels. Thus, 2 wavelengths of light are emitted.

C. The 3 energy levels lead to 2 high-energy transitions and 1 low-energy transition. Therefore, 3 different photon wavelengths are possible.

Page 128: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Energy Levels

Emission from which of the following energy level diagrams would produce the spectrum shown to the left?

A) B) C)

Page 129: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Energy Levels

Consider the following arguments for each answer and vote again:

A. The arrangement of the energy levels reflects the arrangement of the lines in the emission spectrum.

B. This energy level diagram allows only 1 low-energy transition, consistent with the emission spectrum.

C. Only this energy level diagram allows 3 high-energy transitions and 1 low-energy transition.

Page 130: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Transition in H and He+

The diagram to the left shows the spacing of the first five energy levels for a hydrogen atom. Which of the following transitions in He+ has the same wavelength as the 4→2 transition in H?

A) 4→2 B) 8→4 C) 16→8

Page 131: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Transition in H and He+

Consider the following arguments for each answer and vote again:

A. He+ has the same electron configuration as H; therefore, the energy level diagram will be the same.

B. The atomic number of He+ is twice that of H. Therefore, to produce the same energy splitting, the energy levels must be twice that of H.

C. The energy of the electron is proportional to Z2, which is 4 for He+. Therefore, the two levels, 4 and 2, must be increased by a factor of 4 to 16 and 8, respectively.

Page 132: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Electron Configurations

Which atom or ion can have the electron configuration 1s22s22p1?

Periodic Table

A) Li B) Be- C) B+

Page 133: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electron Configurations

Consider the following arguments for each answer and vote again:

A. The answer must be lithium because it is the first element in row 2 to possess only one unpaired electron.

B. Beryllium in its ground state has the electron configuration 1s22s2, so Be- in its ground state will have the configuration 1s22s22p1.

C. In its ground state, boron has the electron configuration 1s22s22p1, so B+ must also have this configuration.

Page 134: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Ionization Energies

Which of the following has the lowest ionization energy?

A) H(1s1) B) He(1s13p1) C) He+(4p1)

Page 135: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Ionization Energies

Consider the following arguments for each answer and vote again:

A. Hydrogen has a lower nuclear charge than helium, so it always has a lower ionization energy than any helium atom or ion.

B. He(1s13p1) has almost the same ionization energy as H(3p1), which has a lower ionization energy than either H(1s1) or He+(4p1).

C. Because the electron in He+(4p1) is in the fourth shell, the ionization energy of He+(4p1) is the lowest.

Page 136: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Ionization Energies of He(1s2)

How does the ionization energy of He(1s2) compare to the ionization energies of H(1s1) and He+(1s1)?

A) Higher B) Lower C) In-between

Page 137: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Ionization Energies of He(1s2)

Consider the following arguments for each answer and vote again:

A. It is harder to remove an electron from a doubly occupied orbital than from a singly occupied orbital.

B. Each electron offsets the charge of one of the protons, giving an effective nuclear charge of zero.

C. Each electron partially shields the other, leading to an effective nuclear charge that is between 1 and 2.

Page 138: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Atomic and Ionic Radii

Which of the following atoms (or ions) has the smallest radius?

A) K+ B) Ar C) Cl-

Page 139: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Atomic and Ionic Radii

Consider the following arguments for each answer and vote again:

A. K+ has the highest nuclear charge and so has the smallest atomic radius.

B. Because it is a noble gas, Ar has the smallest atomic radius.

C. Cl- has the nucleus with the lowest mass, so it has the smallest atomic radius.

Page 140: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

 

Electron Affinity of Halogen Atoms

Suppose an electron is transferred from a potassium atom to an unknown halogen atom. For which of the following halogen atoms would this process require the least amount of energy?

A) Cl B) Br C) I

Page 141: Chapter 7 Electrons in Atoms. Properties of Electrons Electrons display both particle properties and wave properties. Electrons were discovered by JJ

Electron Affinity of Halogen Atoms

Consider the following arguments for each answer and vote again:

A. Chlorine has the greatest affinity for electrons and so would release the most energy when an electron is added.

B. Electron donation is most favorable energetically when it occurs between atoms on the same row of the periodic table.

C. Because of its massive nuclear charge and large electron cloud, an iodine atom can most easily accept an additional electron.