1. ELECTRONIC STRUCTURE OF ATOMS/ RELATIONSHIP BETWEEN ATOMS AND
QUANTUM THEORY (CHAPTER 7) ENERGY
What have we learned ? Atoms + energy emit light
1) Atoms are the building blocks of matter. A GOOD EXAMPLE IS:
2) Atoms are composed of a dense nucleus
) m mp f
(protons and neutrons) with electrons far Different elements (atoms) emit
removed from the nucleus. light of different colors (red, green,
3) Stoichiometry. yellow, orange, blue).
4) Elements are arranged in a periodic table.
5) Behavior of gases (laws and theory).
6) Basics of thermochemistry.
What we don't know ? M* M + light
excited emission
atom
1) Why atoms combine to form molecules ?
2) Why the periodic table has its particular
arrangement of the elements ?
M + light M*
3) What is the detailed structure of an atom absorption excited
(electrons) ? atom
4) Why atoms combine to form compounds
with particular formulas ? Light interacts with atoms in specific ways –
5) Why elements (main group, Group A) form gain information on the electronic structure of
stable monatomic ions with a particular atoms by studying this interaction.
charge (e.g., Na+, Ca2+, O2-, Cl-) ?
MOLECULAR FORMULAS
• Atoms combine to form molecules with
specific formulas. Light is electromagnetic radiation and is a
• How atoms combine depends on the wave and it has wavelike characteristics.
distribution or arrangement of electrons
around the nucleus of the atom (i.e.,
electronic structure).
l i ) Wave: Vibrating disturbance by which energy
• Early experimental evidence aided in is transmitted.
developing an understanding of atomic
structure: Water waves, sound waves, etc.
– J. J. Thomson’s discovery of the electron. Waves are characterized by: frequency
– Rutherford’s Nuclear Model of the Atom. wavelength
amplitude
1

2. Figure 7.2
Frequency/Amplitude(intensity) of
Various Waves
Figure 7.2
WAVE CHARACTERISTICS Speed of wave propagation =  X 
1  distance
Wavelength (  lambda): The distance distance  
   speed speed
(length) between adjacent peaks on the wave.  time  time
SI unit: meter (m). Electromagnetic radiation (radiant energy, light).
q y
Frequency (  nu): The number of waves Speed of light (c) = 3.00 X 108 m/s (in a vacuum)
p g ( )
(wavelengths) that pass a point per second. (186,000 miles/s or 671,000,000 mph)
The SI unit of frequency is the hertz (Hz). This radiation does not need a medium for
SI units: 1/s or s-1 or hertz (Hz). propagation - can travel through a vacuum.
c =    = constant
Amplitude (intensity): The vertical distance
from the mid-line to the peak (intensity). If  increases, then  decreases (inverse
relationship).
2

3. Example: Frequency and Wavelength
What is the frequency () of radiation that
has a wavelength () of 1.5 X 10-2 m ?
Start this problem with c =  
Rearrange the equation and solve for :
R h i d l f
c 3.00 X 10 8 m/s
    2 X 1010 s -1
 1.5 X 10 - 2 m
or 2 X 1010 Hz
Figure 7.4
Electromagnetic Radiation
Max Planck (1900)
Maxwell (1873): Developed a theory for light.
Studied radiation emitted by
He proposed that light waves consists of two matter (objects). All objects
components; a vibrating electric field and a emit electromagnetic radiation.
vibrating magnetic field.
Hence, the term “electromagnetic radiation”.
This radiation involves the transmission of
energy from one place to another.
Postulated that atoms and molecules can emit or
absorb energy (radiation) only in discrete
quantities.
Figure 7.3 Energy in matter is quantized, not continuous !!
3

4. QUANTIZED ENERGY
PHOTOELECTRIC
What is a quantum of energy ? EFFECT
– The smallest increment of energy that can be These observations of the
emitted or absorbed in the form of photoelectric effect could not be
electromagnetic energy (light) by matter.
explained by the wave theory of light.
Energy (E) of a single quantum is given by:
E = h Albert Ei t i (1905) Considered that li ht i
Alb t Einstein (1905): C id d th t light is
E = energy (J) composed of a stream of particles that are
 = frequency (1/s) called photons (or quanta-packets of
h = Planck's constant (6.63 X 10-34 J · s) energy).
– Units: E = (J · s)(1/s) = J (energy)
Extended Planck’s idea’s.
PHOTOELECTRIC EFFECT: Light can cause Photoelectric Effect
electrons to be ejected from a metal surface.
light
elec t r o n
met al surf ace
There is a threshold frequency () for electron
ejection and if light has a  less than the
threshold, no electrons are ejected.
At a  greater than the threshold, the number
of electrons ejected is proportional to the light
intensity. Figure 7.5
4

5. Each photon of light has an energy, E:
E = h ·  (Planck’s ideas)
Energy of a photon is directly proportional to
the frequency.
Energy of a p
gy f photon is important and dictates
p
how light interacts with matter.
Electromagnetic radiation (light) has both
wave-like and particle-like properties.
The dual nature of light!!!
Figure 7.4
Problem: Quantized Energy
A typical laser pointer has red light -
Energy of Electromagnetic Radiation
wavelength 630 nanometers (6.3 X 10-7 meters).
• Given by E = h = hc/
What is the energy of one photon of light
with  = 630 nm? • Short wavelengths ()  high energy;
e.g., X rays - very dama in to life
e X-rays damaging
hc (6.63 X 10 - 34 J s)(3.0 X 10 8 m/s) • Long wavelengths ()  low energy;
E  hν   e.g., radio waves - safe
λ (6.3 X 10 - 7 m)
 3.16 X 10 -19 J
Electromagnetic Spectrum ATOMIC SPECTRA
Radio waves Experimental observations of the interaction of
Some Facts radiation with matter.
Microwave
Inverse relationship Atom + h Atom* absorption
Infrared between  and 
Atom* Atom + h emission
Visible  (lambda) ranges
from 1013 to 10-3 nm Atoms absorb and emit light with discrete energy
Ultraviolet (’s and ’s). They can have only particular
 (nu) ranges from amounts of energy – energy of atoms is quantized.
104 Hertz (Hz) to
X-rays
1020 Hz
Energy levels of atoms - it's the electrons that
Gamma rays are important - energy levels of the electrons.
 
5

6. Atomic Spectrum of Hydrogen Atoms
Simplest element, it has the simplest spectrum.
See a series of lines in the atomic spectrum of
hydrogen atoms.
Only discrete ’s and ’ of li ht are absorbed
O l di t ’ d ’s f light b b d
or emitted by hydrogen atoms.
This resulting spectrum is unique for hydrogen -
different from all other elements.
Experiment to View the Atomic Spectrum of H
Atomic Spectra of Hydrogen
Numerous lines ranging from the ultraviolet ( <
400 nm) to the infrared region ( > 800 nm).
Figure 7.6 J. J. Balmer (1885): Studied the lines in the
visible portion of the the spectrum (400 nm to
700 nm).
energy energy emission
H2 H H* H + light
Continuous Spectrum
Found a simple equation (
F d i l ti (empirical) for calculating
i i l) f l l ti
the emission wavelengths in the visible region:
1  1 1 
Figure 7.6  RH  2  2  RH = Rydberg constant
λ 2 n  = 109,678 cm-1
Each type of atom (element) has its own
unique spectrum (lines). n = 3, 4, 5, and 6
6

7. Atomic Spectra of Hydrogen
General equation for calculating all emission Will the
lines in the hydrogen spectrum: photon be
absorbed ?
1  1 1  RH = Rydberg constant
 RH  2  2  = 109,678 cm-1
,
λ n 
 i nf 
Restriction: ni and nf are whole numbers
1st Bohr orbit
If of the proper
ranging from 1 to infinity. 2nd Bohr orbit energy, the photon
is absorbed and the
The above equation is called the Rydberg 3rd Bohr orbit electron jumps to a
equation. higher energy orbit.
Different Series of Spectral Lines
for H atoms
Absorption
1st Bohr orbit
Lyman series: nf = 1; ni = 2, 3, 4,…(ultraviolet)
2nd Bohr orbit
Electron can return to
Balmer series: nf = 2; ni = 3, 4, 5,…(visible) 3rd Bohr orbit the ground state by
Paschen series: nf = 3; ni = 4, 5, 6, …(infrared) emitting a photon of
Brackett series:nf = 4; ni = 5, 6, 7, …(infrared) the same energy.
EXPLANATION OF H-LINE SPECTRUM
Niels Bohr (1913), Danish physicist
Developed a theoretical model for the Emission
hydrogen atom.
Bohr viewed the electron as moving around the
nucleus in only fixed (discrete) radii or orbits
(planets in a solar system). 1st Bohr orbit
This placed restrictions on the sizes of the orbits
2nd Bohr orbit
and the energy that the electron can have in a 3rd Bohr orbit
given orbit (departure from classical physics).
7

8. Potential
Energy
Figure 7.9
Bohr described the potential energy of the Bohr’s Model of H-atom
electron in the hydrogen atom by a simple (?)
n = 1: First Bohr orbit, ground state, lowest
equation:
potential energy.
2 4
2π me
E If the hydrogen atom in the ground state
n2 h2 absorbs energy, then the electron goes to a
m = mass of the electron (9 109 X 10-31 kg)
(9.109 higher energy (larger) orbit (n = 2, 3, 4, ...);
g gy ( g ) ( )
e = charge of the electron (1.602 X 10-19 C, called excited states.
(1.519 X 10-14 kg1/2 m3/2 s-1) For transitions in the Bohr Model of the H-atom
h = Planck’s constant (6.63 X 10-34 J · s)
n = quantum number (1, 2, 3, ….) n = 1 to n = 2 absorbs energy
2
2π me 4 same energy
R'H   2.18 X 10-18 J n = 2 to n = 1 emits energy
h2
Bohr’s Hydrogen Atom
Bohr’s Equation of Energy
 R' 
E n  - 2H  n  1, 2, 3, ...  (integers)
 n 
R’H: constant (2.18 X 10-18 J)
n: quantum number
(has values from 1 to  )
Negative sign: Potential energy of the atom <
potential energy of H+ and a free electron. b  R’H
Lowest energy, n = 1 (E < 0)
Highest energy, n =  (E = 0)  R' 
E n  - 2H  n  1, 2, 3, ...  (integers)
 n 
8

9. Example: What is the change in energy of the
hydrogen atom when the electron goes from the
n = 3 to the n = 1 level ?
Use the equation for the change in energy for H-
atom:
 1 1 
ΔE  R' H  2  2
R 
n n 
 i f 
 1 1
ΔE  2.18 X 10 -18 J  2  2   1.94 X 10-18 J
3 1 
A photon of light energy is emitted, since ni
> nf , E is negative.
Figure 7.9
Energy of Transitions in Bohr H-Atom What is the frequency () and wavelength ()
of this photon ?
Use Einstein‘s equation and solve for :
Energy of the  R' H  ΔE  hν
Initial State: E i   2
 n 

 i  ΔE 1.94 X 10 -18 J
ν   2.93 X 1015 Hz
h 6 63 X 10 - 34 J  s
6.63
 R'  Calculate wavelength () :
Energy of Final
E f   2H 
State:  n  c  λν
 f 
c 3.00 X 10 8 m/s
λ   1.02 X 10 - 7 m  102 nm
ν 2.93 X 1015 /s
Energy of Transitions in Bohr H-Atom
 - R'   - R' 
ΔE  E f  E i   2 H    2 H 
 n   n 
 f   i 
 1 1 
ΔE  R' H  2  2   hν
R
n n 
 i f 
If ni > nf , then a photon is emitted, E is
negative.
If ni < nf , then a photon is absorbed, E is
positive.
9

10. Relationship between Bohr’s equation and the de Broglie’s Hypothesis (1924)
Rydberg equation: • If electromagnetic radiation (light) can have
particle-like properties (photon), then electrons
Bohr’s equation: may also possess wave-like properties.
• Electrons do indeed have both particle and
 1 1 
ΔE  R' H  2  2  wave-like properties !!! Electrons are similar to
n n  g
light.
 i f 
• From Einstein's theory of relativity:
Rydberg Equation:
E  mc 2
1  1 1  m  mass
 RH  2  2  c  speed of light
λ n 
 i nf  This equation relates energy and mass.
Rydberg constant calculated from Bohr’s theory: de Broglie’s Hypothesis
ΔE  hv 
hc 1
 hc   Using photon equation for light:
λ λ
hc c  
E  h 
R' H in J   c

RH in cm 1  hc


Substitute mc2 for E and solve for :
1
2.18 X 10-18 J  1m 
  
  
6.63 X 10 J  s 3.00 X 10 m/s  100 cm 
- 34 8
hc
mc 2 
 109,600 cm -1 
and
Agrees well with the known Rydberg constant h
value (109,678 cm-1). 
mc
Bohr’s Theory
de Broglie’s Hypothesis
• Only works for the hydrogen atom; not a
general theory, it is limited and incomplete. • Notice that the product, mc, is defined as
momentum (i.e., mass X velocity).
• Used some elements of "classical physics",
which do not apply to atomic and subatomic • This equation then relates wavelength,
particles !!!! mass, and velocity.
• Questions for Bohr: • For an electron, its speed must be less than
– Why is energy of the electron quantized? the speed of light, c. We can simply
– Why are electrons restricted to only certain substitute in for the speed (velocity) of the
orbits? electron, v.
– Why are atoms stable (exist)?
10

11. The wavelength of an electron (a particle) is
given by: de Broglie Wavelength For a Baseball
h

h 
mv mv
v  velocity (m/s)
For the baseball:
m v  momentum (particle property)
(p p p y)
Units : mass is 0.14 kg and velocity is 40 m/s
kg  m
2
6.63 x 10 -34 J  s
s  m (distance, wavelength)   1.2 x 10 -34 m
kg  m
(0.14 kg)(40 m/s)
s
Electrons, protons, and neutrons experience Wave properties of particles only apply to atomic
diffraction - wave property !!!! and subatomic particles – not to baseballs !!!!
Diffraction Pattern for Al with X-rays and
Electrons
QUANTUM MECHANICS (WAVE MECHANCIS)
Erwin Schrödinger (1926)
Nobel Prize (1933)
Applies wave properties of matter to explain
pp p p p
atomic properties.
Bohr’s theory: Electrons move around the nucleus
in fixed (discrete) orbits (e.g., solar system).
electrons X-rays Wave mechanics: Treats electrons as waves –
Figure 7.14 difficult to perceive.
Example: This theory leads to a series of mathematical
Calculate the de Broglie wavelength for an functions called wave functions.
electron travelling at 1 % the speed of light
(3.00 X 106 m/s). The electron wave function is called an orbital
h (atomic orbital).
Use de Broglie’s relationship:   m v
For an electron, The t
Th term “orbital” i used to distinguish f
“ bit l” is d t di ti i h from
Bohr’s ideas of fixed orbits.
m = 9.11 X 10-31 kg; v = 3.00 X 106 m/s
6.63 X 10 - 34 J  s
λ  2.43 X 10 -10 m or 243 pm
9.11 X 10- 31 kg3.00 X 106 m/s 
Follow the units through!!!!
11

12. Interference of Waves Electron Waves
Two waves with the same
frequency add together if
they are “in phase” (their
peaks exactly match).
Constructive interference. 4 wavelengths 3.6 wavelengths
destructive
interference
Interference of Waves
These electron wave functions are quantized.
They must have integral numbers of
Two waves with the same wavelengths, otherwise destructive interference
frequency but exactly will result in annihilation of the electron wave.
“out of phase” (peak of
one wave matches a valley
of the other wave) cancel
f h h ) l
out (destroyed). Energy changes in an atom - simply changes in
wave functions (patterns) which are quantized.
Destructive interference.
Electrons exist only in those regions in which
their waves reinforce each other.
In wave mechanics, the electrons do not orbit the
Allowed (Stable) Orbital: nucleus in fixed, circular orbits (Bohr’s ideas).
4 wavelengths – Rather, the electron wave function takes on a
constructive interference particular shape, a probability of finding the
electron in a particular volume of space.
An atomic orbital is characterized by:
Forbidden (Unstable)
Orbital
energy
4.5 wavelengths – size
destructive interference shape
orientation in space
12

13. The “p” Orbitals: Are not spherical, consist of
TYPES (SHAPES) OF ATOMIC ORBITALS
two lobes of electron density about the nucleus.
The “s” Orbitals: Have a spherical shape:
The “s” Orbitals: Have a spherical shape:
There are three individual “p” orbitals, differ
only in their orientation in space:
Figure 7.18 Figure 7.20
The three individual “p” orbitals, represented
The “s” Orbitals: Have a spherical shape: in an atom:
13

14. The “d” Orbitals: Have a more complex shape (four QUANTUM NUMBERS
lobes of electron density about the nucleus).
Five individual “d” orbitals, differ only in their • PRINCIPAL QUANTUM NUMBER (n) Determines
orientation in space: the energy and size of an orbital.
– Allowed values  1, 2, 3,…  (positive
integers)
• As n increases the energy and size of the
increases,
Figure 7.21 orbital increases.
• All orbitals that have the same value for "n" are
in the same "shell".
n = 1 shell (first shell)
n = 2 shell (second shell)
n = 3 shell (third shell)
etc.
The “f” Orbitals: Have a very complex shape (eight
Angular Momentum (Shape) Quantum Number (l):
lobes of electron density about the nucleus).
This quantum number determines the shape of
There are seven individual “f” orbitals that vary
the orbital.
only in their orientation in space.
Divides a shell into smaller groups called subshells.
Only certain "l" values are possible-limited by "n":
Can have integral values from zero to n – 1
(0, 1, 2, 3,
(0 1 2 3 ....n - 1)
Shells Subshells
n=1 l=0
n=2 l = 0, 1
n=3 l = 0, 1, 2
Angular Momentum (Shape) Quantum Number (l)
Typically, a letter code is used to specify the
Quantum Numbers “l” values:
l 0 1 2 3 4 5….
Bohr’s theory used a single quantum number (n)
to describe an orbit. letter s p d f g h….
Quantum mechanics theory (wave mechanics) Letter designations  Nature of spectral
has three quantum numbers (n, l, ml) to describe feature:
an atomic orbital. s  Sharp-very narrow
p  Principle-very strong
d  Diffuse-spread out
f  Fundamental
14

15. Angular Momentum (Shape) Quantum Number (l) MAGNETIC QUANTUM NUMBER (ml):
To designate a subshell, we need to specify • For a "d" subshell:
both "n" (number) and "l" (letter): l = 2 then ml = -2, -1, 0, 1, 2
(five ml values)
Shell Subshell designation
n=1 l=0 1s There are five orbitals i a "d" subshell.
• Th bit l in b h ll
n=2 l=0 2s
n=2 l=1 2p • For the "f" subshell:
l = 3 then ml = -3, -2, -1, 0, 1, 2, 3
n=3 l=2 3d
(seven ml values)
• There are seven orbitals in a "f" subshell.
Angular Momentum (Shape) Quantum Number (l)
• For a given "n" value, there are small
differences in energy for various "l"
values.
• Order of increasing energy of subshells in
the same shell:
s < p < d < f < g….
increasing energy
4s < 4p < 4d < 4f
MAGNETIC QUANTUM NUMBER (ml) REPRESENTATION OF ORBITALS
• Describes the orientation in space relative to (shapes and sizes)
other orbitals of that same subshell (l).
– Divides a subshell into individual orbitals. Electron wave form (function) considers a
• Possible ml values :(-l, -l + 1, ....+l) probability of finding the electron around the
• For the "s" subshell: nucleus.
l = 0 then ml = 0
• There is only a single orbital in an “s” subshell. Define the size and shape of an orbital by a
• For the "p" subshell: 90% probability diagram (90% of the electron
density lies within these boundaries, 90 %
l = 1 then ml = -1, 0, 1
(three ml values) chance that the electron will be found within
this volume).
• There are three orbitals in a "p" subshell.
15

16. The “s” Orbitals:
n = 1 to infinity; l = 0; ml = 0
There are three individual “p” orbitals in a “p”
Have a spherical shape:
subshell, differ only in their orientation in
space:
The “d” Orbitals:
n  3; l = 2; ml = -2, -1, 0, 1, 2
Five individual orbitals in a “d” subshell.
They have a more complex shape, differ
only in their orientation in space.
Each have the same energy, size, and
1s < 2s < 3s
shape.
Increasing size and energy
The “p” Orbitals: Five individual “d” orbitals, differ only in their
orientation in space:
n  2; l = 1; ml = -1, 0, 1
Three individual orbitals in a “p” subshell.
They all have the same shape, size, and
energy - differ only in their orientation in
space.
Consist of two lobes of electron density about
the nucleus.
Figure 7.21
16

17. THE “f” ORBITALS:
MAGNETIC PROPERTIES OF THE ELECTRON
n  4 ; l = 3; ml = -3,-2, -1, 0, 1, 2, 3
Seven individual orbitals in the “f” subshell.
Very complex shape (8 lobes of electron density)
and differ only in their orientation in space.
Each have the same energy, size and
shape.
Orbitals with the same energy, i.e., the
three p orbs, five d orbs, etc. are said to
be degenerate.
ELECTRON SPIN
MAGNETIC PROPERTIES OF THE ELECTRON
The quantized spin of the electron is
It was found that atoms of some elements have verified by experiment.
magnetic fields.
This was explained by considering that the
electron is spinning.
From electromagnetic theory, a spinning charge
generates a magnetic field.
Hence, electrons behave like very small magnets. Figure 7.17
ELECTRON SPIN
Quantum mechanics theory predicts that the A complete set of quantum numbers to
electron has only two possible spin states. describe an electron’s wave form (function):
Hence, electron spin is quantized.
An l
A electron spin quantum number ( s) i
i b (m is
assigned to the electron. n l ml ms
ms has values of +1/2 and -1/2
These two spin states generate magnetic fields
that are directly opposed.
17

18. Pauli exclusion principle: States that no two
electrons in an atom can have the same set of
four quantum numbers. Electrons in Shells
n, l, ml  specify an orbital maximum # of
Shell (n) Subshells electrons
1 s 2
ms  specify electron spin 2 s, p 8
3 s, p, d 18
Consequently, no more than two electrons can
4 s, p, d, f 32
be in an orbital. If an orbital contains two
electrons, then they must have opposite spin
quantum numbers (ms values).
Quantum Numbers Quantum (Wave) Mechanics
Quantum Numbers:
n l designation ml
(subshell)
Principal - n (energy & size of orbitals)
value value values Angular Momentum - l (shape of orbitals)
1 0 1s 0 Magnetic - ml (orientation of orbitals)
2 0 2s 0 Spin - ms (spin of e-’s in orbitals)
Pauli Exclusion P i i l
P li E l i Principle:
2 1 2p -1, 0, 1
– No two electrons in an atom can have
3 0 3s 0 the same set of four quantum numbers
3 1 3p -1, 0, 1
– n, l, ml  specify an orbital
3 2 3d -2, -1, 0, 1, 2 – e- spin distinguishes the two e-’s in an
orbital (ms)
Electron Configuration (Electronic Structure)
Electrons in Subshells
The distribution of electrons among orbitals of
# of maximum # an atom.
Subshell orbitals of electrons
s 1 2 Ground State electron configuration: Lowest
p 3 6 energy arrangement of electrons.
d 5 10
Electron configuration: List subshells that
f 7 14
contain electrons and designate their
populations by appropriate superscripts.
18

19. Hydrogen Atom Electron Configuration Ground State electron configuration of O:
1s2 2s2 2p4
# of electrons in
the subshell • Orbital Diagram: Shows each orbital by a box
(circle) and how the electrons are placed in
the orbitals with their spins specified.
H 1e- 1s1
• s subshells fill with electron pairs; one spin up
Angular Momentum and one spin down in the 1s; same for the 2s
d d h f h
principal (shape) quantum # • This leaves 4 electrons for the 2p subshell.
quantum # (subshell)
(shell)
Why did we fill the
This electronic structure accounts for the 2p subshell this way?
observed chemical properties of the 1s2 2s2 2p4
hydrogen atom.
Electron Configuration For Helium Many different ways to distribute the four
electrons in the 3 individual p orbitals in the p
Helium is in Group 8A, Period 1 of the Periodic subshell.
Table (Atomic Number 2)
# of electrons in Hund's rule: For a partially filled subshell,
the subshell the lowest energy arrangement will have the
maximum number of unpaired electrons (orbitals
f p (
He 2e- 1s2 with only a single electron) each with the same
Angular Momentum (parallel) spin state.
principal (shape) quantum #
quantum # (subshell)
He: the first Noble Gas; inert, unreactive; Why ?
2p4
Because the n = 1 shell is filled with 2 electrons
Orbital diagrams for a p subshell with 4 electrons
Oxygen, Group 6A, Period 2; Element 8
It doesn’t matter how these three individual p
orbitals are displayed, one orbital must have
Has 8 e-’s, the n = 1 shell is filled with 2 two electrons with paired spins and two orbitals
electrons, the other 6 electrons go into the must each contain one electron with parallel
n = 2 shell. spin.
O 8e- 1 s2 2 s2 2 p 4 These are all
equivalent orbital
diagrams for a p4
subshell.
19

20. Orbital diagrams for a p subshell with 4 electrons
MAGNETIC PROPERTIES OF ATOMS
Higher energy arrangements of electrons Predict magnetic properties (diamagnetic or
paramagnetic) from ground state electron
configurations and orbital diagrams.
Consider Nitrogen with 7 electrons:
N
7e-
1s2 2s2 2p3
These are higher energy orbital
diagrams for a p4 subshell.
It is paramagnetic with 3 unpaired electrons.
MAGNETIC PROPERTIES OF ATOMS MAGNETIC PROPERTIES OF ATOMS
If all electrons in an atom are paired in orbitals
(i.e., orbitals are filled), then the magnetic
C
moments (fields) of the electrons exactly cancel.
6e-
The atom will not be affected (attracted) by a
magnet. The atom is said to be diamagnetic. 1s2 2s2 2p2
p
paramagnetic with 2 unpaired electrons
g p
diamagnetic
Al
13 e-
1s2
1s2 2s2 2p6 3s2 3p1
e.g., Helium (He - 2e-) paramagnetic with 1 unpaired electron
MAGNETIC PROPERTIES OF ATOMS MAGNETIC PROPERTIES OF ATOMS
If an atom has a subshell that is partially
filled, then the magnetic moments of "unpaired" It has no unpaired
Be
electrons will add together to make the atom electrons, so it is
4e-
magnetic. The atom will be attracted by a diamagnetic.
magnet. It is said to be paramagnetic. 1s2 2s2
H paramagnetic Ne
10e-
1s1
1s2 2s2 2p6
Oxygen Paramagnetic, 2
unpaired e-’s diamagnetic with no unpaired electrons
1s2 2s2 2p4
20

21. Ground-state electron configurations for
atoms with many electrons:
Fill orbitals by energy, lowest energy orbitals
(subshells) are filled according to:
1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f 6d 7p
“Aufbau principle”: German for “building up”;
put electrons into the lowest energy orbitals.
A simple way to
remember this order:
Set
S t up th s subshells
the b h ll
in a column, then the p
subshells in a column
next to it, then the d
subshells in a column
next to it, etc.
Figure 7.23
Then fill along the diagonals of the column
Figure 7.24
1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f 6d 7p
21

22. An Example for a Many Electron Atom Filled shells yield particularly stable electron
Consider Iron, Atomic Number 26 (# of protons) configurations, e.g., the noble gases:
He 2e- 1s2
26Fe  26 e-
Ne 10e- 1s2 2s2 2p6
Electron Configuration: Fill the subshells Ar 18e- 1s2 2s2 2p6 3s2 3p6
according to their energy: K 36e- 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6
Kr
We will be concerned with the outer-shell
1s2 2s2 2p6 3s2 3p6 4s2 3d6 electrons. These are called valence electrons and
they control the chemical properties of the atom.
The electrons in the inner-shells are called the
core electrons. The have little effect on chemical
properties.
What are the magnetic properties for this ABBREVIATED ELECTRON CONFIGURATIONS
electron configuration of Fe??
Focus on the 3d subshell (five orbitals, partially The noble gas core will be indicated by the
filled subshell). appropriate noble gas element symbol in brackets
followed by the additional electrons:
Fe 1s2 2s2 2p6 3s2 3p6 4s2 3d6  [Ar] 4s2 3d6
3d6 For the halogens in Group 7A:
F [He] 2s2 2p5
Fe - Paramagnetic with four unpaired electrons.
Cl [Ne] 3s2 3p5
Br [Ar] 4s2 3d10 4p5
Electron configurations of the elements are Use the periodic table to determine the last
listed in Table 7.3 (page 300). subshell that is being filled:
Some exceptions to our guidelines-we will ignore Groups 1A and 2A s subshells
these exceptions.
Groups 3A to 8A p subshells
For example: Chromium (Cr-24 e-)
F mp m um (
1s 2 2s2 2p6 3s2 3p6 4s2 3d4 expected Transition metals d subshells
1s2 2s2 2p6 3s2 3p6 4s1 3d5 actual
Lanthanides f subshells
For example: Copper (Cu-29 e-)
Actinides f subshells
1s2 2s2 2p6 3s2 3p6 4s2 3d9 expected
1s2 2s2 2p6 3s2 3p6 4s1 3d10 actual
22

23. Figure 7.28
Why do elements in a group have similar
chemical properties? Because they have
similar valence shell (outer shell) electron
configurations.
Group 2A - Alkaline earths
Group 7A - Halogens Be 2s2
F 2s22p5
Mg 3s2
Cl 3s23p5 Ca 4s2
Sr 5s2
Br 4s24p5
Ba 6s2
I 5s25p5 Ra 7s2
ns2 np5 ns2
23