1/13/2015 1 george mason university general chemistry 211 chapter 8 electron configuration and...

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1/13/201 5 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry: the Molecular Nature of Matter and Change, 7 th edition, 2011, McGraw-Hill Martin S. Silberberg & Patricia Amateis The Chemistry 211/212 General Chemistry courses taught at George Mason are intended for those students enrolled in a science /engineering oriented curricula, with particular emphasis on chemistry, biochemistry, and biology The material on these slides is taken primarily from the course text but the instructor has modified, condensed,

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Page 1: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

1/13/2015 1

George Mason UniversityGeneral Chemistry 211

Chapter 8Electron Configuration and Chemical Periodicity

Acknowledgements

Course Text: Chemistry: the Molecular Nature of Matter and Change, 7th edition, 2011, McGraw-

Hill Martin S. Silberberg & Patricia Amateis

The Chemistry 211/212 General Chemistry courses taught at George Mason are intended for those students enrolled in a science /engineering oriented curricula, with particular emphasis on chemistry, biochemistry, and biology The material on these slides is taken primarily from the course text but the instructor has modified, condensed, or otherwise reorganized selected material.Additional material from other sources may also be included. Interpretation of course material to clarify concepts and solutions to problems is the sole responsibility of this instructor.

Page 2: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration & Chemical Periodicity

Development of the Periodic Table Characteristics of Many-Electron Atoms

The Electron Spin Quantum Number The Pauli Exclusion Principle Electrostatic Effects and Energy-Level Splitting

Development of the Quantum Mechanical Model of the Periodic Table Building up of Periods 1 & 2 Building up of Period 3 Electron Configuration Within Groups Building up Period 4 General Principles of Electron Configuration Unusual Configurations: Transition and Inner

Transition Elements

Page 3: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration & Chemical Periodicity

Trends in Three Key Atomic Properties

Trends in Atomic Size

Trends in Ionization Energy (IA)

Trends in Electron Affinity (EA)

Atomic Structure and Chemical Reactivity

Page 4: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration The work of Balmer (Rydberg equation) and Bohr

(Bohr Postulates) invoked the idea that spectra lines of compounds represented different wavelengths (Balmer) and energy levels (Bohr) of the radiation.

Each energy level was designated by the whole number integer, n.

“n” could have any value from 1 - (infinity)

The higher the value of “n,” the smaller the wavelength, which equates to higher frequency and higher energy

2 22

1 1 1 = R -

λ 2 n

-182 2

f i

1 1E = hν = - 2.18 10 J -

n n

Page 5: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration The work of Balmer, Bohr, and Einstein,

de Broglie, Heisenberg and many others lead to the development of Quantum Mechanics

Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of the wave-particle duality of matter and energy

In quantum chemistry each atom is distinguished by its unique number of electrons, which is matched by an equal number of protons in the nucleus (atomic number, Z)

Each new element has one more electron than its predecessor

Hydrogen (H) 1 e-; Helium (He) 2 e-

Page 6: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electronic Configuration The electrons are configured (distributed) into

“orbitals,” which represent energy levels

Electrons are able to move from one orbital (energy level) to another by emission or absorption of a quantum of energy, in the form of a photon

Knowledge of the electron configuration of different atoms is useful in understanding the structure of the periodic table of elements

The concept is also useful for describing the chemical bonds that hold atoms together

In bulk materials this same idea helps explain the peculiar properties of lasers and semiconductors

Page 7: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration According to quantum mechanics each electron

is described by 4 Quantum numbers Principal Quantum Number

(n) Angular Momentum Quantum Number

(l) Magnetic Quantum Number

(ml)

Spin Quantum Number(ms)

The first 3 quantum numbers define the wave function of the electron’s atomic orbital, i.e., it size and general energy level

The fourth quantum number refers to the

Spin Orientation

of the 2 electrons that occupy an atomic orbital

Page 8: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electronic Configuration Quantum Numbers and Atomic Orbitals

The Principal Quantum Number (n) represents the “Shell Number” in which an electron “resides”

● It represents the relative size of the orbital

● Equivalent to periodic chart Period Number

● Defines the principal energy of the electron

● The smaller “n” is, the smaller the orbital size

● The smaller “n” is, the lower the electron energy

● n can have any positive value from

1, 2, 3, 4 …

(Currently, n = 7 is the maximum known)

Page 9: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electronic Configuration Quantum Numbers and Atomic Orbitals (Con’t)

The Angular Momentum Quantum Number (l) distinguishes “sub shells” within a given shell

● Each main “shell,” designated by quantum number “n,” is subdivided into:

l = n - 1 “sub shells”

● (l) can have any integer value from 0 to n - 1

● The different “l” values correspond to thes, p, d, f designations used in the electronic configuration of the elements

Letter s p d f (g)

l value 0 1 2 3 (4)

Page 10: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electronic Configuration Quantum Numbers and Atomic Orbitals (Con’t)

The Magnetic Quantum Number (ml) defines the atomic orbitals within a given sub-shell

● Each value of the angular momentum number (l) determines the number of atomic orbitals

● For a given value of “l,” ml can have any integer value from –l to +l

ml = –l to +l

● Each orbital has a different shape and orientation (x, y, z) in space

● Each orbital within a given angular momentum number sub shell (l) has the same energy

Page 11: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Quantum Numbers and Atomic Orbitals (Con’t)

The Spin Quantum Number (ms) refers to the two

possible spin orientations of the electrons residing within a given atomic orbital

● Each atomic orbital can hold only:

two (2) electrons

● Each electron has a “spin” orientation value

● The spin values must oppose one another

● The possible values of ms spin values are:

+1/2 and –1/2

Page 12: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Stern-Gerlach Experiment

A beam of H atoms can be separated into 2 beams of opposite electron spin in a magnetic field

ms ( –1/2 ) electrons have a slightly greater energy than

ms ( +1/2 ) electrons

Page 13: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Representation of electron spin

A spinning charged particle aligns in a magnetic field depending on spin state

Page 14: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Summary of Quantum Numbers

principal

n positive integers

(1, 2, 3, …)

orbital energy (size)

angular momentum

l integers from

0 n -1

orbital shapeThe l values 0, 1, 2, and 3 correspond to s, p, d, f orbitals, respectively

magnetic

ml integers from–l 0 +l

orbital orientation

spin ms +1/2 or – 1/2 direction of e- spin

Name

Symbol

Permitted Values

Property

Page 15: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Summary of Quantum Numbers

Name, Symbol(Property)

Allowed Values

Quantum Numbers

Principal, n(size, energy)

Angular momentum, l (shape)

Magnetic, ml

(orientation)

Positive integer (1, 2, 3, ...)

l = 0 n -10(s), 1(p), 2(d), 3(f)

-l,…,0,…,+l

n=3n=1

0 0

n=2

0 0-1 +1 -1 0 +1

0 +1 +2-1-2

l=0 l=0 l=0l=1 l=1 l=2 (1s) (2s) (2p) (3s) (3p) (3d)

Page 16: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration An electron configuration of an atom is a

particular distribution of electrons among available sub shells The configuration notation lists the subshell

symbols (s, p, d, f…) sequentially with a superscript indicating the number of electrons occupying that subshell

Ex: lithium (Period (n) = 2, Atomic No 3) has

2 electrons in the“1s” sub shell

1 electron in the“2s” sub shell

1s2 2s1

Fluorine (Period (n) 2, Atomic No 9) has

2 electrons in the “1s” sub shell

2 electrons in the “2s” sub shell

5 electrons in the “2p” subshell

1s2 2s2 2p5

Page 17: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration A unique set of the first 3 quantum numbers (n, l,

m l) defines an “Orbital” An orbital can contain a maximum of 2 electrons,

each with a different “spin” (+1/2 or -1/2) An orbital diagram is notation used to show how

the orbitals of a sub shell are occupied by electrons Each orbital is represented by a circle Each orbital can have a maximum of 2 electrons Each group of orbitals is labeled by its

Sub Shell Notation (s, p, d, f) Electrons are represented by arrows: up () for ms = +1/2 and down () for ms = -

1/2

1s 2s 2p

Page 18: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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The Pauli Exclusion Principle The Pauli Exclusion Principle

No two electrons in an atom can have the same four quantum numbers

An orbital (unique combination of n, l, m l )

can hold, at most, two electrons

Two electrons in the same Orbital have opposite spins

+1/2 -1/2

Page 19: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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The Pauli Exclusion Principle The maximum number of electrons and their

orbital diagrams are:

Sub Shell

No. ValuesOrbitals (-l to +l)

Max No. Electrons

s (l = 0) 1 (0) 2

p (l = 1) 3 (-1,0,+1) 6

d (l =2) 5 (-2,-1,0,+1,+2) 10

f (l =3) 7 (-3,-2,-1,0,+1,+2,+3) 14

Page 20: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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The Pauli Exclusion Principlen l (n-1) ml

1 0 (1s) 0

2 0 (2s) 0 1 (2p) -1 0 +1

3 0 (3s) 0 1 (3p) -1 0 +1 2 (3d) -2 -1 0 +1 +2

4 0 (4s) 0 1 (4p) 1 0 +1 2 (4d) -2 -1 0 +1 +2 3 (4f) -3 -2 -1 0 +1+2 +3

5 0 (5s) 0 1 (5p) -1 0 +1 2 (5d) -2 -1 0 +1 +2 3 (5f) -3 -2 -1 0 +1+2 +3 4 (5g) -4 -3 -2 -1 0 +1 +2 +3 +4

Page 21: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Noble Gas Electronic Configurations

In the following slides electronic configurations of the elements in the Periodic Table will be discussed

Electronic configurations can become quite complex (lengthy) as the Atomic Number increases

A condensed form of the Electronic Configuration of a given element or ion is often used

A symbol, [X], representing the electron configuration of the Noble gas in the period just above the element of interest is substituted for the detail configuration

The following slide illustrates the Noble Gas configurations and the “Condensed Form” symbol used with other elements

Page 22: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Configurations and the Periodic Table

Condensed Electronic Configurations

Full Electronic ConfigurationCondensedElectronic

Configuration

Helium 1s2 [He] 2 e-

Neon 1s22s22p6 [Ne] 10 e-

Argon 1s22s22p63s23p6 [Ar] 18 e-

Krypton 1s22s22p63s23p63d104s24p6 [Kr] 36 e-

Xenon 1s22s22p63s23p63d104s24p64d105s25p6 [Ze] 54 e-

Beryllium 1s22s2 [He] 2s2 4 e-

Magnesium 1s22s22p63s2 [Ne] 3s2 12 e-

Calcium 1s22s22p63s23p64s2 [Ar] 4s2 20 e-

Sodium Ion (Na) 1s22s22p63s1 (Na+) 1s22s22p6 + 1e- [Ne] + 1e-

Page 23: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Quantum Number n = 1 (Period 1)

l values = 0 to (n-1) = 0 to (1 -1) = 0 l = 0 (s orbital)

ml values = -l,…0,…+l = 0 (1 s orbital)

ms values = -1/2 & +1/2 = (2 e- per orbital)

Thus, for n = 1 there is one orbital (s) which can accommodate 2 elements – Hydrogen & Helium

Z = 1 Hydrogen 1s1

Z = 2 Helium 1s2

1s orbital

Page 24: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Quantum Number n = 2 (Period 2)

l values = 0 to (n-1) = 0 to (2-1) = 0 to 1 l = 0(s), 1(p)For l = 0 (s) ml = -l 0 + l = 0 (one 2s orbital, 2 electrons) ms values = -1/2 & +1/2For l = 1 (p) ml = -1 0 +1 (three 2p orbitals, 6 electrons) ms values = -1/2 & +1/2 in each orbital

Z=3 Lithium 1s22s1 or [He]2s1

Z=4 Beryllium 1s22s2 or [He]2s2

Z=5 Boron 1s22s22p1 or [He]2s22p1

Z=6 Carbon 1s22s22p2 or [He]2s22p2

Z=7 Nitrogen 1s22s22p3 or [He]2s22p3

Z=8 Oxygen 1s22s22p4 or [He]2s22p4

Z=9 Fluorine 1s22s22p5 or [He]2s22p5

Z=10 Neon 1s22s22p6 or [He]2s22p6

2p orbitals

2s orbitals

Page 25: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration With Sodium (Z = 11), the 3s sub shell begins to fill

Starting with Z = 13, the 3p sub shell begins to fill

Z=11 Sodium 1s22s22p63s1 or [Ne]3s1

Z=12 Magnesium 1s22s22p63s2 or [Ne]3s2

Z=13 Aluminum 1s22s22p63s23p1 or [Ne]3s23p1

Z=18 Argon 1s22s22p63s23p6 or [Ne]3s23p6

Page 26: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Electrostatic Effects and Energy-Level Splitting

The principal quantum number (n) defines the energy level of an atom

● The higher the “n” value, the higher the energy level

The unique values of the principal quantum numbers of multi-electron atoms (n, l, ml) define a unique energy level for the orbital of a given electron

● The energy of a given orbital depends mostly on the value of the principal quantum number (n), i.e. its size, and to a lesser degree on the shape of the orbital represented by the various values of the magnetic quantum number (l)

Page 27: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration The energy states of multi-electron atoms arise

from2 counteracting forces:

Nucleus – Positive protons attract Negative electrons

Electron – Negative electrons repulse each other

Nuclear protons create a pull (attraction) on electrons

Higher nuclear charge (Z) lowers orbital energy (stabilizes system) by increasing proton-electron attractions

● The energy required to remove the 1s electron from Hydrogen (H), Z =1, is much less than the energy to remove the 1s electron from the Li2+ ion, Z = 3

Page 28: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Effect of Nuclear Charge (Z) on Orbital Energy

Greater Nuclear Charge lowers orbital energymaking it more difficult to remove the electronfrom orbit

The absolute value of the 1s orbital energy is related directly to Z2

Energy required to remove 1s electron from H

1311 kJ/mol (Z= +1, Least stable)

Energy required to remove 1s electron from He+

5250 kJ/mol (Z = +2)

Energy required to remove 1s electron from Li+

11815 kJ/mol (Z = +3, Most stable)

Page 29: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Shielding – Effect of Electron Repulsions on Orbital

Energy

Electrons feel repulsion from other electrons somewhat shielding (counteracting) the attraction of the nuclear protons

Shielding (screening) lowers the full nuclear charge to an “Effective Nuclear Charge (Zeff)

The lower the Effective Nuclear Charge, the easier it is to remove an electron

● It takes less than half as much energy to remove an electron from Helium (He) (2373 kJ/mol) than from He+ (5250 kJ/mol) because the second electron in He repels the first electron and effectively shields the first electron from the full nuclear charge (lower Zeff)

Page 30: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Electron Configuration Penetration: Effects of orbital shape

The shape of an atomic orbital affects how close an electron moves closer to nucleus, i.e., the level of penetration

Penetration and the resulting effects of shielding on a atomic orbital causes the energy level (n) to be split into sublevels of differing energy representing the various values of the magnetic quantum number (l)

The lower the value of the magnetic quantum number (l), the more its electrons penetrate

Order of Sublevel Energies s (l=0) < p(l=1) < d(l=2) < f(l=3)

Each of the orbitals for a given value of l (ml = -l 0 +l) has the same energy

Page 31: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Aufbau Principle Aufbau Principle – scheme used to

reproduce the ground state electron configurations of atoms by following the “building up” order based on relative energy levels of quantum subshells

The “building up” order corresponds for the most part to increasing energy of the subshells

By filling orbitals of the lowest energy first, you usually get the lowest total energy (“ground state”) of the atom

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Aufbau Principle Listed below is the order in which all the possible

sub-shells fill with electrons

Note the order does NOT follow the strict numerical subshell order shown on slide 20

1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f

You need not memorize this order

The next slide provides a pictorial providing an easier way of the viewing the ‘build-up” order

Page 33: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Order for Filling Atomic Subshells

n = 1

n = 2

n = 3

n = 4

n = 5

n = 6

n = 7

1s2s3s4s5s6s7s

2p3p4p5p6p7p

3d4d5d6d7d

4f5f6f7f

• Setup rows for eachPrincipal Quantum No. (n)

• Set columns for eachAngular Momentum (l)

• Draw a series of diagonals

• Order of filling is the orderin which diagonals strike subshells

• Note the 4s subshell isfilled before the 3d subshell because the 4s electronsare at lower energy levels than the 3d electrons

PrincipalQuantumNo. (n)

Angular Momentum (l)

Page 34: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Aufbau Principle Every atom has an infinite number of possible

electron configurations (electrons can be raised to any number of energy (n) levels)

The configuration associated with the lowest energy level of the atom is called the

“ground state”

Other configurations correspond to

“excited states”

Tables on the next 3 slides list the ground- state configurations of atoms up to krypton

Page 35: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Partial Orbital Diagrams

Page 36: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Partial Orbital Diagrams Chromium (Cr) relative to Vanadium (V)

The Cr 4s1 subshell is filled before the 3d subshell is completed

An [Ar]3d44s2 orbital configuration would be expected for ground state Cr, but the [Ar]3d54s1 orbital is lower in energy

Cr

Partial Orbital Diagrams and Electron Configurations* for the Elements in Period 4

Page 37: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Partial Orbital Diagrams Copper (Cu) relative to Nickel (Ni)

Copper would be expected to have a ground state configuration of [Ar]3d94s2

The [Ar]3d104s1 configuration is actually lower in energy

Ni

Cu

Partial Orbital Diagrams and Electron Configurations* for the Elements in Period 4

Page 38: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Orbital Energy Levels inMulti-Electron Systems

En

ergy

1s

2s

2p

3s3p

3d4s

3d orbitals would be expected to be filled before 4s orbitals

Actual order of filling depends on total ground state energy of the atom

3d and 4s orbitals are very close in energy

Selected 4s, 5s, 6s, 7s levels are filled before 3d, 4d, 4f, 5f, respectively (see slides 31 & 32)

Page 39: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Configurations and thePeriodic Table

Electrons that reside in the outermost shell of an atom - or in other words, those electrons outside the “noble gas core” - are called valence electrons These electrons are primarily involved in

chemical reactions Elements within a given group have the same

valence shell configuration This accounts for the similarity of the chemical

properties among groups of elements

n = 2 Li – 2s1 Be – 2s2

n = 3 Na – 3s1 Mg – 3s2

n = 4 K – 4s1 Ca – 4s2

n = 5 Rb – 5s1 Sr – 5s2

Page 40: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Configurations and thePeriodic Table

Noble gas core: an inner shell configuration resembling one of the noble gases (He, Ne, Ar, Kr, Xn)

Pseudo-noble gas core: noble gas core + (n-1)d10 electrons: Ex Sn Sn+4

Sn ([Kr] 5s2 4d10 5p2) Sn+4 ([Kr] 4d10 + 4 e-

Page 41: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Configurations and thePeriodic Table

Configurations of Main Group Ions

Noble gases have filled outer energy levels (ns2np6), have very high Ionization Energies (IEs), and positive (endothermic) Electron Affinities (EAs); thus do not readily form ions

Elements in Groups 1A, 2A, 6A, 7A that readily form ions by gaining electrons (1A & 2A) or losing electrons (6A & 7A) attain a filled outer level conforming to a Noble Gas configuration

Such ions are said to be “Isoelectronic” with the nearest Noble gas configuration

Na (1s22s22p63s1) Na+ (1s22s22p6) + 1e-

Isoelectronic with [Ne] + 1e-

Page 42: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Configurations and thePeriodic Table

The energy needed to remove the electrons from metals in groups 1A, 2A, 6A, 7A, is supplied during exothermic reactions with nonmetals

Attempts to remove more than 1 electron from group 1A or 2 electrons from group 2A metals would mean removing core (not valence) electrons requiring significantly more energy than is available from a reaction with a non-metal

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Configurations and thePeriodic Table

The larger metals from Groups 3A, 4A, and 5A form cations through a different process

It would be energetically impossible for them to lose enough electrons to attain a noble gas configuration

Ex: Tin (Sn), Z = 50 would have to lose 14 electrons (two 5p, ten 4d, two 5s) to be isoelectronic with Krypton: Z =36

Instead, tin loses fewer electrons and still attains one or more stable pseudo-noble gas configurations

Sn ([Kr] 5s24d105p2) Sn4+ ([Kr] 4d10) + 4e-

Stability comes from empty 5s & 5p sublevels

and a filled inner 4d sublevel (n-1)d10 configuration

Pseudo-Noble Gas Configuration

Page 44: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Practice ProblemWhich of the following electron configurations represents an excited state?

a. He: 1s2

b. Ne: 1s2 2s2 2p6

c. Na: 1s2 2s2 2p6 3s1

d. P: 1s2 2s2 2p6 3s2 3p2 4s1

e. N: 1s2 2s2 2p3

Ans: d

Ground state for Phosphorus is:

1s2 2s2 2p6 3s2 3p3

The 3p subshell would continue to fill before the 4s subshell would start to fill

Page 45: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Practice ProblemWhat is the electron configuration for the valence electrons of Technetium (Tc, Z = 43)?

a. 4d55s2 b. 5s25d4 c. 4s24d4

d. 4d65s2 e. 3d44s2

Ans: a

4d55s2 5 + 2 = 7 valence electrons

Technetium (atomic no. = 43 = 43 total electrons)

Select “Noble Gas” Configuration prior to Technetium (Kr)

1s22s22p63s23p63d104s24p6 [Kr] 36 e-

[Kr] + 4d55s2 = 36 + 7 = 43 = Technetium

Note: 4d orbitals filled before 5p orbitals (Aufbau)

Page 46: 1/13/2015 1 George Mason University General Chemistry 211 Chapter 8 Electron Configuration and Chemical Periodicity Acknowledgements Course Text: Chemistry:

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Practice ProblemWhat is the electron configuration for the valence electrons of Polonium (Po, Z=84)?

a. 6s26p2 b. 6s25d106p4

c. 6s25d106p6 d. 6s26p4 e. 7s26p4

Ans: b

6s25d106p4 2 + 10 + 4 = 16 valence electrons

Polonium (atomic no. 84 = 84 total electrons)

Select “Noble Gas” Configuration prior to Polonium Ze(54)

Xenon 1s22s22p63s23p63d104s24p64d105s25p6 [Ze] 54 e-

84 – 54 = 30 electrons which must include 14 electrons that fill in the 4f orbitals that start with Lanthanum

30 -14 = 16 – 10 (filled 5d10) = 6 = 6s25d106p4

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Configurations and the Periodic Table

The following slide illustrates how the periodic table provides a sound way to remember the Aufbau sequence

In many cases you need only the configuration of the outer electrons

You can determine this from their position on the periodic table

The total number of valence electrons for an atom equals its group (vertical column) number

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Periodic Table (Subshells)

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Configurations and thePeriodic Table

Main block = s + p blockss block p block

d blockTransition Elements

f blockInner

Transition Elements

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Orbital Diagrams Consider carbon (Z = 6) with the ground state

configuration 1s22s22p2

Three possible arrangements are given in the following orbital diagrams.

Each state has a different energy and different magnetic characteristics

Diagram 1:

Diagram 2:

Diagram 3:

1s 2s 2p

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Orbital Diagrams Hund’s rule states that the lowest energy

arrangement (the “ground state”) of electrons in a sub-shell is obtained by putting electrons into separate orbitals of the sub shell with the same spin before pairing electrons

Looking at carbon again, we see that the ground state configuration corresponds to diagram 1 when following Hund’s rule

Note: The 2 e- in the 2p orbitals are shown as “up” arrows representing the +1/2 spin state, which has lower energy the -1/2 spin state

1s 2s 2p

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Orbital Diagrams To apply Hund’s rule to Oxygen, whose ground

state configuration is 1s22s22p4, place the first seven electrons as follows

1s 2s 2p

The last electron is paired with one of the 2p electrons to give a doubly occupied orbital, i.e., a +½ spin state and a – ½ spin state

1s 2s 2p

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Summary Pauli Exclusion principle: no 2 e-s in an atom can

have the same four quantum numbers

Aufbau Principle: obtain electron configurations of the ground state of atoms by successively filling subshells with electrons in a specific order

Hunds Rule: the lowest energy arrangement of electrons in a subshell is obtained by putting electrons into separate orbitals of the subshell with the same spin before paring them

Recall: +1/2 spin has lower energy then -1/2 spin

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Periodic Properties Two factors determine the size of an atom

One factor is the principal quantum number, n. The larger “n” is , the larger the size of the orbital

The other factor is the effective nuclear charge (slide 28), which is the positive charge an electron experiences from the nucleus minus any “shielding effects” from intervening electrons

The Periodic Law states that:

When the elements are arranged by atomic number, their physical and chemical properties vary periodically – across the periodic chart row

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Periodic Properties – Atomic Size Atomic Size, Ionization Energy, Electron Affinity

Atomic radius

● Within each Period (across horizontal row), the atomic radius tends to decrease with increasing atomic number (nuclear charge more dominant than electron repulsion)

● Within each Group (down a vertical column), the atomic radius tends to increase with increasing period number (electron repulsion dominates nuclear charge increase)

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Periodic Properties – Atomic Size Representation of atomic radii (covalent radii) of

the main-group elements (neutral atoms)

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Periodic Properties – Atomic Size

Ionic Size increase down a group Number of

energy levels increases

Ionic Size becomes more complicated across a period Decreases

among cations Increase

dramatically with first anion

Decreases within anions

Elements vs Ions

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Periodic Properties – Atomic Size Ionic Size and Atomic Size

Cations are smaller than their parent atoms

● Electrons are removed from the outer level

● Resulting decrease in electron repulsions allows nuclear charge to pull remaining electrons closer

Anions are larger than their parent atoms

● Electrons added to outer level

● Resulting in increased electron repulsion allowing them to occupy more space

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Periodic Properties – Ionization Energy

Ionization energy

● The first ionization energy of an atom is the minimal energy needed to remove the highest energy (outermost) electron from the neutral atom

● For a Lithium atom, the first ionization energy is illustrated by:

Li(1s22s1) → Li+(1s2) + e- IE = 520 kJ/mol

Endothermic (requires energy input)

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Periodic Properties – Ionization Energy

Ionization energy (IE)

There is a general trend that ionization energies increase with atomic number within a given period

This follows the trend in size, as it is more difficult to remove an electron that is closer to the nucleus

For the same reason, we find that ionization energies, again following the trend in size, decrease descending down a column of elements

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Ionization Energy vs Atomic Number

Noble gases have highest IE’s

Alkali metals have lowest IE’s

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Periodic Properties – Ionization Energy

Ionization Energies to the “Right” of the a vertical line correspond to removal of electrons from the “Core” of the atom

Successive Ionization Energies of the First Ten Elements (kJ / mol*

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Periodic Properties – Ionization Energy

Ionization energy (IE)

● The electrons of an atom can be removed successively

The energies required at each step are known as the first ionization energy, the second ionization energy, and so forth

Successive Ionization Energies increase because each electron is pulled away from an ion with a progressively higher positive charge, i.e., a more effective nuclear charge

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Exceptions to Ionization Energy Trends

A IIIA element , such as Boron (2s22p1), has a smaller ionization energy (IE) than the preceding IIA element Beryllium (2s2) because one np electron is more easily removed than the second ns electron

A VIA element, such as oxygen (2s22p4), has smaller ionization Energy than the preceding VA element nitrogen (2s22p3). As a result of repulsion it is easier to remove an electron from the doubly occupied 2p orbital of the VI element that from a singly occupied p orbital of the preceding VA element

Nitrogen 2s22p3 Oxygen 2s22p4

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Periodic Properties – Electron Affinity

Electron Affinity (EA): the energy change for the process of adding an electron to a neutral atom in the gaseous state to form a negative ion, i.e., an Anion

● 1st Electron Affinity – Formation of 1 mole of monovalent (1-) gaseous ions

Atoms(g) + e- ion-(g) E = EA1

● For the formation of the Chloride ion (Cl-) from the Chlorine atom, the first electron affinity is illustrated by: 2 5 - 2 6-Cl([Ne]3s 3p ) + e Cl ([Ne]3s 3p )

Electron Affinity = EA1 = 349 kJ/molExothermic (releases energy)

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Periodic Properties – Electron Affinity Electron Affinity (EA)

● The more negative the electron affinity, the more stable the negative ion that is formed

● Broadly speaking, the general trend goes from lower left to upper right as electron affinities become more negative

● Highest electron affinities occur for halogens, F and Cl

● Negative values indicate that energy is released when the Anion forms

● Note: Electron Affinity is not the same as Electronegativity – relative ability of a bonded atom to attract shared electrons

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Periodic Properties – Electron Affinity

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Periodic Properties – Atomic Size Atomic Size

Atomic Size (neutral atoms & ions) increases down a main group

Atomic Size (neutral atoms & ions) decreases across a Period

Atomic Size remains relatively constant across a transition series

Ionization Energy

First Ionization Energy (remove outermost e-) is inversely related to atomic size

1st Ionization Energy decreases down a group

1st Ionization Energy increases across period

Successive IEs show very large increases after 1st electron is removed

Electron Affinity

Similar patterns (with many exceptions) to ionization Energy (lower left to upper right)

Highest electron affinities occur for halogens, F and Cl

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Periodic Properties - Summary

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Atomic Structure / Chemical Reactivity

Metals

Metals are located in the left and lower three-quarters of the Periodic Table

Typical Properties

● Shiny Solids

● High Melting Points

● Good Thermal & Electrical Conductors

● Malleable – Drawn into wires and rolled into sheets

● Lose electrons to non-metals

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Atomic Structure / Chemical Reactivity

Non-Metals

Non-metals are located in the upper right quarter of the Periodic Table

Not Shiny

Low Melting Points

Poor Thermal & Electrical Conductors

Crumbly Solids or gases

Gain Electrons from Metals

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Atomic Structure / Chemical Reactivity

Metalloids (semi-metals) Located between Metals & Non-Metals in the

Periodic Chart

boron, silicon, germanium, arsenic,

antimony, tellurium, and polonium An element that exhibits the external

characteristics of a metal, but behaves chemically more as a nonmetal

Arsenic, for example, is a metalloid that has the visual appearance of a metal, but is a poor conductor of electricity

The intermediate conductivity of metalloids means they tend to make good semiconductors

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Atomic Structure / Chemical Reactivity

Metalloids (semi-metals)

The electronegativities and ionization energies of the metalloids are between those of the metals and nonmetals, so the metalloids exhibit characteristics of both classes

The reactivity of the metalloids depends on the element with which they are reacting

Ex. Boron

● Acts as a nonmetal when reacting with Sodium

● Acts as a metal when reacting with Fluorine

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Atomic Structure / Chemical Reactivity

Metalloids (semi-metals)

The boiling points, melting points, and densities of the metalloids vary widely

As a rule, metalloids do not form multiple bonds

Compounds containing these elements will often show an incomplete octet around the central atom

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Atomic Structure / Chemical Reactivity

Metallic Behavior decrease from left to right and increases from top to bottom in Periodic Tables

f-block Inner Transition Elements

Transition Elements

Non-Metals

Meta

ls

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Atomic Structure / Chemical Reactivity

Metallic Behavior

Metals tend to “Lose” electrons

Metals tend to lose electrons during chemical reactions because they have “Low” ionization energies compared to non-metals

Elements generally tend to increase their metallic character going down a Periodic Table group

The greatest contrast in changing metallic character is in groups 3A – 6A

● Elements at the top tend to form “Anions”, i.e., more non-metallic character, while those at the bottom tend to form metallic “Cations”

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Atomic Structure / Chemical Reactivity

Metallic Behavior (Con’t)

Nitrogen (N) & Phosphorus (P), both non-metals tend to form 3- anions

Arsenic (As) (period 4) & Antimony (Sb) (period 5) are metalloids and generally do not form ions

Bismuth (Bi) (period 6) is a typical metal forming mostly ionic compounds as a 3+ cation

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Atomic Structure / Chemical Reactivity

Metal Behavior (Con’t)

Metallic behavior decreases going from left to right across the Period table

● Increasing group number (left to right)

Ability to lose electrons (form cations) becomes more difficult with as Ionization Energy (IE) increases

Ability to gain electrons (form anions) increases as Electron Affinity (EA) decreases (becomes more negative)

● Elements on the left (more metallic) tend to form positively charged “Cations”

● Elements on the right (more non-metallic) tend to form negatively charged “Anions”

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Atomic Structure / Chemical Reactivity Metallic Behavior (Con’t)

Sodium (Na) group 1 – Very Metallic● Readily loses electron (Na+ ion) which reacts

immediately with oxygen to form an oxide Aluminum (Al) group 3 – Metalloid

● Form some Al3+ ionic compounds, but is covalently bonded in others

Silicon (Si) group 4 – Metalliod ● Does not occur as a monoatomic ion

Phosphorus (P) group 5 – non-metal● Forms a few 3- ions

Sulfur (S) group 6 – non-metal● Forms 2- anions, such as Sulfide

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Atomic Structure / Chemical Reactivity

Metallic Behavior (Con’t)

Acid-Base Behavior of Element Oxides

● Metals

Most main group metals transfer electrons to oxygen forming ionic oxides

Ionic oxides act as bases producingOH- (hydroxide) ions from O2-

● Non-metals

Share electrons with oxygen to form covalent oxides

Covalent oxides act as acids producingH+ ions (protons)

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Atomic Structure / Chemical Reactivity

Metallic Behavior (Con’t)

Amphoteric Behavior

● Some metals and many metalloids form oxides that can act as either an acid or a base

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Atomic Structure / Chemical Reactivity

Acid-Base behavior of common oxides

As elements become more metallic going down a group, the oxides become more basic

● Nitrogen Pentoxide (N2O5)

Period 2 non-metallic forms nitric acid, a strong acid

N2O5(s) + H2O(l) 2HNO3(aq)

Tetraphosphorus decaoxide (P4O10)

Slightly more metallic Period 3 non-metal forms a weaker acid

P4O10(s) + 6H2O 4H3PO4(aq)

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Atomic Structure / Chemical Reactivity

Acid-Base behavior of common oxides

Arsenic Pentoxide (As2O5)

● Group 4 metalloid (more metallic) is weakly basic

Bismuth Pentoxide (Bi2O5)

● Group 5 metalloid (most metallic in group)

● Basic oxide, insoluble in water, forms salt & water with an acid

Bi2O3(s) + 6HNO3(aq) 2Bi(NO3)3(aq) + 3H2O(l)

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Atomic Structure / Chemical Reactivity

Acid-Base behavior of common oxides Across a group

● Elements become less metallic across a group

● Oxides becomes more acidic● Metallic Sodium (Na) (group 1) &

Magnesium (Mg) (group 2) form strongly basic oxides

● Metallic Aluminum (group 3) forms amphoteric aluminum oxide (Al2O3), which can act as a base to react with an acid or as an acid to react with a base

Al2O3(s) + 6HCl(aq) 2AlCl3(aq) + 3H2O(l)

Al2O3(s) + 2NaOH(aq) + 3H2O(l) 2NaAl(OH)4(aq)

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Atomic Structure / Chemical Reactivity

Acid-Base behavior of common oxides

Across a group (Con’t)

● Silicon Dioxide (SiO4) group 4

Weakly acidic forming salt & water with a base

SiO2(s) + 2 NaOH(aq) Na2SiO3(aq) + H2O(l)

● Common oxides of Phosphous (group 5) Sulfur (group 6) and Chlorine (group 7) are increasingly acidic forming increasingly stronger acids

Acidity H3PO4 < H2SO4 < HClO4

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Atomic Structure / Chemical Reactivity

Acid-Base behavior of common oxides

Trends in acid-base behavior of Group 5 and Period 3 oxides

● Red – Acidic (non-metal oxides)

● Blue – Basic (metal oxides)

● Other – Metalloid oxides (note gradations )

More MetallicAtomic Size

Ionizatio

n EnergyOxide Basic

ity

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Atomic Structure / Chemical Reactivity

Properties of Monoatomic Ions

Electron Configuration of Main-Group ions

● Recall: Elements in Groups 1 & 2 readily lose electrons to form cations and elements in groups 6 & 7 readily gain electrons to form anions

● The formation of the anions or cations result in a filled outer shell, i.e., the nearest noble gas configuration

Na(1s22s22p63s1) Na+ (1s22s22p6) Ne + e-

Br ([Ar] 4s23d104p5) + e- Br- ([Ar] 4s23d104p6)

([Ar] 4s23d104p6) [Kr]

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Atomic Structure / Chemical Reactivity Properties of Monoatomic Ions (Con’t)

Electron Configuration of Main-Group ions● Energy to remove the outer valence shell

electrons (Ionization Energy) is supplied during the exothermic reaction of a metal with a non-metal

● Removing more than one electron from Na to form Na2+ or two electrons from Mg to form Mg3+ means removing core (non-valence) electrons, which requires much more energy than is available from the chemical reaction

● Similarly, adding 2 electrons to Fluorine to form F2- means adding electrons to the next energy level, which would require a large amount of energy to overcome the shielding of the nuclear charge by the 18 inner core electronsThus, compounds such as Na2F & Mg3O2 do not exist

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Atomic Structure / Chemical Reactivity

Properties of Monoatomic Ions

Electron Configuration of Main-Group ions

● Larger Metals of Groups 3, 4, 5

Energetically impossible for them to lose enough electrons to attain noble gas configuration

Tin (Sn) [Kr] 5s25p24d10 would have to lose 14 electrons (two 5p, ten 4d, and two 5s) to be isoelectronic with Krypton (Kr) – [Ar] 4s24p6

Cations formed through a different process

Sn+4 – loss of two 5s & two 5p electrons, attaining stability from the filled in 4d sublevel

Sn+2 – loss of two 5p electrons, attaining stability from the filled 5s & 4d sublevels

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Atomic Structure / Chemical Reactivity

Properties of Monoatomic Ions

Electron Configuration of Main-Group ions

● Larger Metals of Groups 3, 4, 5

Carbon

Would have to either lose 4 electrons to attain the C4+ Helium configuration or gain 4 electrons to attain the C4- Neon configuration

In either case, the energy requirements are extremely high, i.e. sun-like temperatures of 106k

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Atomic Structure / Chemical Reactivity

Properties of Monoatomic Ions

Electron Configuration of Main-Group ions

● Most elements that form Monatomic ions that are Isoelectronic with a noble gas lie in the four groups that flank group 8

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Practice ProblemUsing condensed electron configurations, write reactions for the formation of the common ions of the following:

Iodine:

I ([Kr] 5s24d105p5) + e- I- ([Kr] 5s24d105p6) I- [Xe]

Potassium:

K ([Ar] 4s1) K+ ([Ar]) + e-

Indium:

Group 3A – loses 3 electrons or loses 1 electron

In ([Kr] 5s24d105p1) In3+ ([Kr] 4d10) + 3e-

In ([Kr] 5s24d105p1) In+ ([Kr] 5s24d10) + 1e-

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Atomic Structure / Chemical Reactivity

Electron Configurations of Transition Metal Ions

Transition metal ions rarely attain noble gas configurations

Energy required to attain noble gas configuration is very high

● Exceptions

Scandium – forms Sc3+; Titanium – forms Ti4+

In Periods 4 & 5, a transition metal can form more than one cation by losing all of its ns and some of the (n-1)d electrons

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Atomic Structure / Chemical Reactivity

Electron Configurations of Transition Metal Ions

Aufbau electron build-up

At the beginning of Period 4, the 4s orbital is nearer the nucleus than the 3d orbital making it more stable than the empty 3d orbital

The first & second electrons fill the 4s orbital before filling the empty 3d orbitals

● At the beginning of the transition elements (group 3B), however, the previously filled 4s orbitals do not do a very good job of shielding the 3d electrons

● The 3d orbitals now become more stable than the 4s orbitals and begin to fill under the influence of increased nuclear charge - a cross-over in orbital energy

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Atomic Structure / Chemical Reactivity Electron Configurations of Transition Metal Ions

Aufbau electron build-up (Con’t)The 4s electrons, which were added before the

3d electrons, are now lost preferentially before the 3d electrons to form the transition metal electrons

Simple Rules for forming the ion of any “Main Group” or “Transition” Group element● Electrons with the highest “n” value are

removed first● For main-group, s block metals, remove all

electrons with the highest “n” value● For main-group, p-block metals, remove “np”

electrons before “ns” electrons● For transition (d-block) metals, remove “ns”

electrons before “(n-1)d” electrons● For non-metals, add electrons to the “p”

orbitals of the highest “n” value

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Magnetic Properties A spinning electron behaves like a tiny magnet

generating a magnetic field

A single electron (unpaired) in an orbital can be affected by an externally applied magnetic field

A Paramagnetic element (or ion) has 1 or more orbitals with unpaired electrons and is weakly attracted by a magnetic field

Titanium [Ar]4s23d2

A Diamagnetic element (or ion) has only paired electrons and is not attracted by a magnetic field

Copper ion Cu+ [Ar]4s23d10

4s 3d 4p

4s 3d 4p

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Atomic Structure / Chemical Reactivity

Magnetic Properties of Transition Metal Ions

Ag (Z=47) [Kr] 5s14d10

Unpaired – Paramagnetic – split by applied magnetic field

Cd (Z=48) [Kr] 5s24d10

Paired – Diamagnetic – not split by applied magnetic field

5s 4d 5p

5s 4d 5p

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Atomic Structure / Chemical Reactivity

Using Paramagnetism to verify electron configuration

Titanium (Ti) [Ar] 4s23d2 Titanium (II) Ion (Ti2+) ([Ar] 3d2) + 2e-

4s 3d 4p

Ti

Ti2+

4s 3d 4p

Paramagnetic

Unpaired e-

Paramagnetic

Unpaired e-

If Titanium had lost its two “3d” electrons, the Titanium Ion would havebeen “diamagnetic (all electrons shared)

The Titanium Ion actually shows properties of “Paramagnetism”(The mass of the titanium ion is affected when placed in a magnetic field)

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Atomic Structure / Chemical Reactivity

Increasing “Paramagnetism”

Iron (Fe) Iron III (Fe3+)

Fe

Fe3+

4s 3d 4p

4s 3d 4p

Fe ([Ar] 4s23d6) Fe3+ ([Ar] 3d5) + 3e-

The loss of the 2 4s electrons and

one of its paired 3d electrons

results in “increased” paramagnetism

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Practice ProblemUse condensed electron configuration to write the reaction for the formation of Mn2+ ion, and predict whether the ion is paramagnetic

Manganese Mn (Z = 25)

Mn ([Ar] 4s23d5) → Mn2+ ([Ar] 3d5) + 2e-

4s 3d 4p

4s 3d 4p

Rule: Remove “ns” electrons first

The Mn2+ ion is “paramagnetic”

Mn

Mn2+

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Practice ProblemUse condensed electron configuration to write the reaction for the formation of Cr3+ ion, and predict whether the ion is paramagnetic

Chromium - Cr (Z = 24)

Cr ([Ar] 4s13d5) → Cr3+ ([Ar] 3d3) + 3e-

4s 3d 4p

4s 3d 4p

Note irregularity for Cr: 4s subshell fills before 3d subshell is complete

Rule: Remove “ns” electrons first

The Cr3+ ion is “paramagnetic”

Cr

Cr3+

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Summary Equations

N = Principal quantum number (size, energy) values = 1, 2, 3 ….

l = Angular Momentum (orbital shape) values = 0 n-1 0(s), 1(p), 2(d), 3(f)

ml = magnetic (orbital orientation) values = -l ... 0 ... +l

Ms = Spin (direction) values = -1/2 & +1/2