arrangement of electrons in atoms (chapter 4) notes part 1 electromagnetic radiation

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Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

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Page 1: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Arrangement of Electrons in Atoms (Chapter 4) Notes

Part 1 Electromagnetic Radiation

Page 2: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

I. Properties of Light-Different types of electromagnetic radiation (x-rays, radio waves, microwaves, etc…) SEEM to be very different from one another. Yet they share certain fundamental characteristics. All types of electromagnetic radiation, also called radiant energy, move through a vacuum at a speed of 3.00 x l08 meters per second.

Page 3: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

A. Wavelength – distance between identical points on successive waves; may be measured in any length unit but is usually dependent on how long the wave is (X-rays are usually measured in nanometers or Angstroms while the very long radio waves might be measured in meter. The Greek letter lambda, , is used to depict wavelength (pg 92)

Page 4: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

B. Frequency – the number of complete wave cycles that pass a given point in one second: the unit is cycles/second but is written as sec-1, or Hertz. The Greek letter nu,, is used to depict frequency.

Page 5: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

If the frequency and wavelength are known then the product of the two (wavelength x frequency) is always equal to the same speed. It is known as the speed of light or c.

c = speed of light = 3.00 x l08 m/s

c = = wavelength (in m) = frequency (in Hz)

Page 6: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

1. What is the wavelength of radiation whose frequency is 6.24 x l013 sec-1? A: 4.81X10-6 m

2. What is the frequency of radiation whose wavelength is 2.20 x l0-6 nm? (1 m = 1,000,000,000 nm) A: 1.36X1023 s-1 or Hz

Page 7: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

II. The Photoelectric Effect (pg 93) – refers to the emission of electrons from a metal when light shines on the metal.

Page 8: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

The wave theory of light (early 1900) could not explain this phenomenon. The mystery of the photoelectric effect involved the frequency of the light striking the metal. For a given metal, no electrons were emitted if the light’s frequency was below a certain minimum – regardless of how long the light was shone. Light was known to be a form of energy, capable of knocking loose an electron from a metal. But the wave theory of light predicted that light of any frequency could supply enough energy to eject an electron. Scientists couldn’t explain why the light had to be of a minimum FREQUENCY in order for the photoelectric effect to occur.

Page 9: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Let’s Review Energy – Radiation of different wavelengths affect matter differently – certain wavelengths (near infrared) may burn your skin with a heat burn, overexposure to X radiation causes tissue damage. These diverse effects are due to differences in the energy of the radiation. Radiation of high frequency and short wavelength are more energetic than radiation of lower frequency and longer wavelength.

Page 10: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

THE QUANTITATIVE RELATIONSHIP BETWEEN FREQUENCY AND ENERGY WAS DEVELOPED THROUGH THE QUANTUM THEORY OF MAX PLANCK.

The explanation of the photoelectric effect dates back to 1900 when Max Planck revised classical ideas of light by proposing that light, which before was thought of as a collection of waves, consisted of BUNDLES OF ENERGY called QUANTA. A quantum is the minimum quantity of energy that can be lost or gained by an atom.

Max Planck

Page 11: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Planck proposed the following relationship between a quantum of energy and the frequency of radiation:

E = hh = Planck’s constant = 6.63 x l0-34 Joules sec E = energy (in Joules) = frequency (in Hz)

Page 12: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Examples:

1. If a certain light has 7.18 x l0-19 J of energy what is the frequency of this light?

A: 1.08X1015 s-1or Hz

b. What is the wavelength, in nm, of this light?

A: 278 nm

2. If the frequency of a certain light is 3.8 x l014 Hz, what is the energy of this light? A: 2.5X10-19 J

Page 13: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Albert Einstein expanded on Planck’s theory by explaining that electromagnetic radiation has a dual wave-particle nature. While light exhibits many wavelike properties, it can also be thought of as a stream of particles. Each particle of light carries a quantum of energy. Einstein called these particles PHOTONS. A photon is a particle of electromagnetic radiation having zero mass and carrying a quantum of energy.

Albert Einstein

Page 14: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Einstein explained the photoelectric effect by proposing that electromagnetic radiation is absorbed by matter only in whole numbers of photons. In order for an electron to be ejected from a metal surface, the electron must be struck by a single photon possessing at least the minimum energy (Ephoton = hv) required to knock the

electron loose, this minimum energy corresponds to a minimum frequency. If a photon’s frequency is below the minimum, then the electron remains bound to the metal surface. Electrons in different metals are bound more or less tightly, so different metals require different minimum frequencies to exhibit the photoelectric effect.

Page 15: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

 

Example from problem 4: An atom or molecule emitting or absorbing radiation whose wavelength is 589 nm cannot lose or gain energy by radiation except in MULTIPLES OF 3.37x l0-19 J. It cannot, for example, gain 5.00 x l0-19 J from this radiation because this amount is not a multiple of 3.37 x l0-19.

Page 16: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

5. In astronomy, it is often necessary to be able to detect just a few photons because the light signals from distant stars are so weak. A photon detector receives a signal of total energy 4.05 x l0-18 J from radiation of 540 nm wavelength. How many photons have been detected? 

A: 11 photons

6. Excited chromium atoms strongly emit radiation of 427 nm. What is the energy in kilojoules per photon?

A: 4.66X10-22 kJ

7. Light hitting certain chemical substances may cause rupture of a chemical bond. If a minimum energy of 332 kJ is required to break a carbon-chlorine bond in a plastic material, what is the longest wavelength of radiation that possesses the necessary energy? A: 5.99X10-31 m

 

Page 17: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

III. The Hydrogen-Atom Line-Emission SpectrumWhen investigators passed an electric current

through a vacuum tube containing hydrogen gas at low pressure, they observed the emission of a characteristic pinkish glow. When a narrow beam of the emitted light was shined through a prism, it was separated into a series of specific frequencies (and therefore specific wavelengths, c =) of visible light. The bands of light were part of what is known as hydrogen’s LINE-EMISSION SPECTRUM. (page 95)

The lowest energy state of an atom is its ground state.

A state in which an atom has a higher amount of energy is an excited state. When an excited atom returns to its ground state, it gives off energy.

Page 18: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation
Page 19: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

IV. Bohr’s Model of Hydrogen – Neils Bohr incorporated Planck’s quantum theory to explain line-emission spectra. Bohr said the absorptions and emissions of light by hydrogen corresponded to energy changes within the atom. The fact that only certain frequencies are absorbed or emitted by an atom tells us that only certain energy changes are possible.

Bohr’s model incorporated (l) Rutherford’s Experiment, which established a nucleus and (2) Einstein’s theory that used Planck’s quantum theory to determine that light is discrete bundles of energy.

Page 20: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

V. Bohr’s Theory of the Atom:Electrons cannot have just any energy; only orbits of

certain radii having CERTAIN energies are permitted.Thus, when an electron absorbs quanta of energy, it will

cause them to jump away from the nucleus to a higher orbit (energy level or n) and when the electron falls from a high orbit to a lower one, a photon of a particular wavelength is released, and a particular color will be given off. Bohr was able to calculate a set of allowed energies. Each of these allowed energies corresponds to a circular path of a different radius.

Thus the larger the value of n, the farther the electron is from the nucleus and the higher energy it possesses.

The success of Bohr’s model of the hydrogen atom in explaining observed spectral lines led many scientist to conclude that a similar model could be applied to all atoms. It was soon recognized, however, that Bohr’s approach did not explain the spectra of atoms with more than one electron. Nor did Bohr’s theory explain the chemical behavior of atoms.

Page 21: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

V. Bohr’s Theory of the Atom:

Page 22: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Electrons in Atoms (Chapter 4) Notes

Part 2 Quantum Model of the Atom

Page 23: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

So where are the electrons of an atom located?

A. Various Models of the Atom

Dalton’s Model

Thomson’s Plum Pudding Model

Rutherford’s Model

Bohr’s ‘Solar System’ Model – electrons rotate around the nucleus

Quantum Mechanics Model – modern description of the electron in atoms, derived from a mathematical equation (Schrodinger’s wave equation)

Page 24: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

B. In 1926, the Austrian physicist Erwin Schrodinger used the hypothesis that electrons have a dual wave/particle nature (developed by Louis de Broglie in 1924) to develop an equation that treated electrons in atoms as waves.

Erwin Schrodinger

Page 25: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Electrons as Waves

Louis de Broglie (1924)

Applied wave-particle theory to electronselectrons exhibit wave properties

QUANTIZED WAVELENGTHS

Adapted from work by Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Standing Wave 200

150

100

50

0

- 50

-100

-150

-2000 50 100 150 200

Second Harmonic or First Overtone 200

150

100

50

0

- 50

-100

-150

-2000 50 100 150 200

Fundamental mode 200

150

100

50

0

- 50

-100

-150

-2000 50 100 150 200

Louis de Broglie~1924

Page 26: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Electrons as WavesQUANTIZED WAVELENGTHS

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

n = 4

n = 6

Forbiddenn = 3.3

n = 5

Page 27: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Schrodinger’s equation results in a series of so called wave functions, represented by the letter (psi).

Although has no actual physical meaning, the value of 2 describes the probability distribution of an electron.

(Same concept covered in Algebra II when dealing with linear regressions and finding best fit lines.)

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Electron Probability vs. Distance

Ele

ctro

n P

roba

bilit

y (%

)

Distance from the Nucleus (pm)

100 150 200 2505000

10

20

30

40

Orbital

90% probability offinding the electron

Page 28: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

We cannot know both the location and velocity of an electron (Heisenberg’s uncertainty principle), thus Schrodinger’s equation does not tell us the exact location of the electron, rather it describes the probability that an electron will be at a certain location in the atom. Here is an overview of electron properties:

1. Waves are confined to a space and can only have certain frequencies.

2. Electrons are considered waves confined to the space around an atomic nucleus. Electrons can only exist at specific frequencies. And according to E=hv (Planck’s hypothesis), these frequencies correspond to specific energies (or quantified amounts of energy.)

3. Electrons, like light waves, can be bent or diffracted.

Orbital

90% probability offinding the electron

Page 29: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

C. Heisenberg’s Uncertainty Principle says that there is a fundamental limitation on just how precisely we can hope to know both the location and the momentum of a particle. It turns out that when the radiation used to locate a particle hits that particle, it changes its momentum. Therefore, the position and momentum cannot both be measured exactly. As one is measured more precisely, the other is known less precisely.

Today we say that the electrons are located in a region outside the nucleus called the electron cloud.

Werner Heisenberg

Page 30: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Heisenberg Uncertainty Principle Impossible to know both the velocity and

position of an electron at the same time

Microscope

Electron

g

Werner Heisenberg~1926

Page 31: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

I. Electron Cloud – Energy LevelsElectrons are found in various energy levels around the nucleus. The energy levels are analogous to the rungs of a ladder. The lowest rung of the ladder corresponds to the lowest energy level. A person can climb up or down a ladder by going from rung to rung. Similarly, an electron can jump from one energy level to another. A person on a ladder cannot stand between the rungs; similarly, the electrons in an atom cannot exist between energy levels.

Page 32: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

A. Quantum: To move from one rung to another, a person climbing a ladder must move just the right distance. To move from one energy level to another, an electron must gain or lose just the right amount of energy. The exact amount of energy required to move from one energy level to another is called a quantum of energy.

B. Photon: When electrons move from one energy level to another energy level we see light – going from one energy level to another energy level gives off an exact amount of light (called a photon).

Electron Absorbing Energy (Photon)

Electron will move from a ground state to an excited state.

Electron Emitting Energy (Photon)

Electron will move from an excited state to a ground state.

Page 33: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

II. Quantum Mechanics Model of the Atom and Quantum Numbers

Periodic Table with predicted ending electron configurations.

Quantum Numbers – a series of numbers which describe several properties of an energy level (or orbit)

Page 34: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

UPPER LEVEL

Four Quantum Numbers:Specify the “address” of each electron

in an atom

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Page 35: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

Principal Quantum Number ( n )

Angular Momentum Quantum # ( l )

Magnetic Quantum Number ( ml )

Spin Quantum Number ( ms )

Page 36: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

A. Principal Quantum Number, “n” (Energy Levels): energy levels (represented by the letter n) are assigned values in order of increasing energy: n=1,2,3,4, and so forth…. which correspond to the periods in the periodic table. The principle q. n. is related to the size and energy of the orbital. n=1, n=2, n=3, n=4, n=5, etc… Which energy level is furthest away from the nucleus and has electrons with the highest energy - 1, 2,3, or 4?

Page 37: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Relative Sizes 1s and 2s

1s 2sZumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 334

Page 38: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

Principal Quantum Number ( n )

Energy level

Size of the orbital

n2 = # of orbitals in the energy level

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

1s

2s

3s

Page 39: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

B. Angular Momentum or Azimuthal Quantum Number, “l” (Sublevels): Within each energy level, the electrons are located in various sublevels – there are 4 different sublevels s, p, d, and f. “l” defines the shape of the orbital (s, p, d, & f). The possible values of “l” are limited by the value for “n”. If n = 3, “l” can be 0, 1, or 2, but not 3 or higher. This q.n. is related to the shape of the orbital.

Page 40: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Shapes of s, p, and d-Orbitals

s orbital

p orbitals

d orbitals

Page 41: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

p-Orbitals

Zumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 335

px pypz

Page 42: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

d-orbitals

Zumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 336

Page 43: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Atomic Orbitals

Page 44: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Copyright © 2007 Pearson Benjamin Cummings. All rights reserved.

Page 45: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

l = 0, is referring to the s sublevel

l = 1, is referring to p sublevel

l = 2, is referring to d sublevel

l = 3, is referring to f sublevel

1s 2s 2p 3p

Page 46: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

s p d f

Angular Momentum Quantum # ( l )Energy sublevelShape of the orbital

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Page 47: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

Orbitals combine to form a spherical

shape.

2s

2pz2py

2px

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Page 48: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum NumbersMagnetic Quantum Number ( ml )

Orientation of orbitalSpecifies the exact orbital within each sublevel

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Page 49: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Feeling overwhelmed?

Read chapter 4.2!

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

"Teacher, may I be excused? My brain is full."

Chemistry

Page 50: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

C. Orbitals: Where are the electrons in the various sublevels located in relation to the nucleus? Electrons are NOT confined to a fixed circular path, they are, however, found in definite regions of the atoms – these regions are called atomic orbital’s! Each orbital can only hold 2 electrons at a time (Pauli exclusion principle).

Page 51: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Within the s sublevel (l=0) there is only 1 orbital (which is spherical) it is called the s orbital.http://www.shef.ac.uk/chemistry/orbitron/AOs/1s/index.html

Within the p sublevel (l=1) there are 3 orbital’s (which are dumbbell shaped) called the px, py, pz orbital’s.

Within the d sublevel (l=2) there are 5 orbital’s (4 of which are cloverleaf shaped) called the dxy, dxz, dyz, dx2-y2, dz2 orbital’s.

Within the f sublevel (l=3) there are 7 orbital’s - which are too complex to draw

Page 52: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

The magnetic quantum number, ml,

refers to the position of the orbital in space relative to other orbital’s. It may have integral numbers ranging from 0 in the s sublevel, 1 to –1 in the p sublevel, 2 to –2 in the d sublevel and 3 to –3 in the f sublevel.

Page 53: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

ml = 0, is referring to the s orbital

ml = -1, 0, +1, are referring to the three p orbital’s (px, py, and pz)

ml = -2, -1, 0, +1, +2, are referring to the five d orbitals

ml = -3, -2, -1, 0, +1, +2, +3, are referring to the seven f orbitals

Page 54: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

D. D. How many electrons can go into each energy level?

Each orbital can hold two electrons. (2n2 = number of electrons per energy level)

The 1st energy level (n=1) only has 1 sublevel called 1s. s only has 1 orbital called the s orbital, so only 2 electrons will be found in the 1st energy level. (2n2 = 2)

Page 55: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

The 2nd energy level (n=2) has 2 sublevels called 2s and 2p. s only has 1 orbital called the s orbital, p has 3 orbital’s called px, py, and pz orbitals, so 8 electrons will be found in the 2nd energy level. (2n2 = 8)

Page 56: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

The 3rd energy level (n=3) has 3 sublevels called 3s, 3p, and 3d. s only has 1 orbital called the s orbital, p has 3 orbital’s called px, py, and pz orbitals, and d has 5 orbital’s, so 18 electrons will be found in the 3rd energy level. (2n2 = 18)

Page 57: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

How about the 4th energy level?

It has 4 sublevels called 4s, 4p, 4d, and 4f. s only has 1 orbital, p has 3 orbital’s, d has 5 orbital’s, and f has 7 orbitals, so 32 electrons will be found in the 4th energy level. (2n2 = 32)

Page 58: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

E. Lets put it all together:

Example of neon atom:

Page 59: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Fourth Quantum Number, ms, refers to the magnetic spin of an electron within an orbital. Each orbital can hold two electrons, both with different spins. Clockwise spin is represented with a value of +1/2 and counterclockwise spin is represented with a value of –1/2. Electrons fill the orbital’s one at a time with the same spin (+1/2), then fill up the orbital(s) with electrons of the opposite spin (-1/2).

ms = +1/2 or –1/2

Page 60: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

4. Spin Quantum Number ( ms )Electron spin +½ or -½An orbital can hold 2 electrons that spin in

opposite directions.

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Page 61: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Copyright © 2006 Pearson Benjamin Cummings. All rights reserved.

Page 62: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers AnalogyEnergy Levels (n) or Principal Q.N.n=1 (Weir) n=2 (Liberty Hill) n=3 (Georgetown) n=4 (Austin)

Sublevels (l) or Azimuthal Q.N.l=0 – s shape 1 bedrooml=1 – p shape 3 bedrooml=2 – d shape 5 bedrooml=3 – f shape 7 bedroom

Orbitals (ml) or Magnetic Q.N.If l=0 then ml=0 (Represents the 1 bed/orbital in the s sublevel)If l=1 then ml= -1, 0, 1 (Represents the 3 bed’s/orbital’s in the p

sublevel) If l=2 then ml= -2, -1, 0, 1, 2 (Represents the 5 bed’s/orbital’s in the p

sublevel)If l=3 then ml= -3, -2, -1, 0, 1, 2, 3 (Represents the 7 bed’s/orbital’s in

the p sublevel)Magnetic Spin – Fourth Q.N. (ms)

ms = +1/2 - 1st electron in orbitalms = -1/2 – 2nd electron in orbital

Page 63: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Level n 1 2 3

Sublevel l Orbital ml

Spin ms

0 0

0 0 1 0 -1 0 1 0 -1 2 1 0 -1 -2

2101

= +1/2

= -1/2

Allowed Sets of Quantum Numbers for Electrons in Atoms

Page 64: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Maximum Number of Electrons In Each SublevelMaximum Number of Electrons In Each Sublevel

Maximum Number Sublevel Number of Orbitals of Electrons

s 1 2

p 3 6

d 5 10

f 7 14

LeMay Jr, Beall, Robblee, Brower, Chemistry Connections to Our Changing World , 1996, page 146

Page 65: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

n shell

l subshell

ml orbital

ms electron spin

1, 2, 3, 4, ...

0, 1, 2, ... n - 1

- l ... 0 ... +l

+1/2 and - 1/2

Page 66: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Electrons In Atoms Notes (Chapter 4) Part 3 Electron

Configurations

Page 67: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

I. Electron Configuration: It should be obvious to you now that it is very difficult to draw a representation or model of atom showing where the electrons are located, so what we do instead is write electron configurations for elements.Definition of electron configuration: An electron configuration is a written representation of the arrangement of electrons in an atom.

Page 68: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

When constructing orbital diagrams and electron configurations, keep the following in mind:Aufbau Principle – electrons fill in order from lowest to highest energy.The Pauli Exclusion Principle – An orbital can only hold two electrons.Two electrons in the same orbital must have opposite spins.You must know how many electrons can be held by each angular momentum number, l. (ie; s can hold 2, 6 for p, l0 for d, 14 for f)Hund’s rule – the lowest energy configuration for an atom is the one having the maximum number of unpaired electrons for a set of degenerate orbitals. By convention, all unpaired electrons are represented as having parallel spins with spin “up”.

Page 69: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Filling Rules for Electron Orbitals

Aufbau Principle: Electrons are added one at a time to the lowest energy orbitals available until all the electrons of the atom have been accounted for.

Pauli Exclusion Principle: An orbital can hold a maximum of two electrons.To occupy the same orbital, two electrons must spin in opposite directions.

Hund’s Rule: Electrons occupy equal-energy orbitals so that a maximum number of unpaired electrons results.

*Aufbau is German for “building up”

Page 70: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Quantum Numbers

1. Principal # 2. Ang. Mom. # 3. Magnetic # 4. Spin #

energy level

sublevel (s,p,d,f)

orbital

electron

Pauli Exclusion PrincipleNo two electrons in an atom can have the

same 4 quantum numbers.Each electron has a unique “address”:

Courtesy Christy Johannesson www.nisd.net/communicationsarts/pages/chem

Wolfgang Pauli

Page 71: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

II. What? How do we write an electron configuration?

A. 1st rule - electrons occupy orbitals that require the least amount of energy for the electron to stay there. So always follow the vertical rule (Aufbau Principle):

You notice, for example, that the 4s sublevel requires less energy than the 3d sublevel; therefore, the 4s orbital is filled with electrons before any electrons enter the 3d orbital!!!! (So just follow the chart and you can’t go wrong!!!!)

Page 72: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

II. What? How do we write an electron configuration?

1st rule - electrons occupy orbitals that require the least amount of energy for the electron to stay there. So always follow the vertical rule (Aufbau Principle):

Page 73: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

You notice, for example, that the 4s sublevel requires less energy than the 3d sublevel; therefore, the 4s orbital is filled with electrons before any electrons enter the 3d orbital!!!! (So just follow the chart and you can’t go wrong!!!!)

Page 74: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

B. 2nd rule – only 2 electrons can go into any orbital, however, you must place one electron into each orbital in a sublevel before a 2nd electron can occupy an orbital. Orbital’s with only 1 electron in the orbital are said to have an unpaired electron in them.

Page 75: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

III. Writing Electron Configurations (3 ways): A. Orbital Notation: an unoccupied

orbital is represented by a line______, with the orbitals name written underneath the line. An orbital containing one electron is written as _____, an orbital with two electrons is written as ____. The lines are labeled with the principal quantum number and the sublevel letter.

Page 76: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Examples: (Remember that you must place one electron into each orbital before a second

electron in placed into an orbital.)Hydrogen ____ Helium __

1s 1s

Lithium ___ ____

1s 2s

Carbon ____ ____ ____ ____ _____ 1s 2s 2px 2py 2pz

You try to write the notation for Titanium

Page 77: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

H = 1s1

1s

He = 1s2

1s

Li = 1s2 2s1

1s 2s

Be = 1s2 2s2

1s 2s

C = 1s2 2s2 2p2

1s 2s 2px 2py 2pz

S = 1s2 2s2 2p4

1s 2s 2px 2py 2pz 3s 3px 3py 3pz

THIS SLIDE IS ANIMATEDIN FILLING ORDER 2.PPT

Page 78: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

H = 1s1

1s

He = 1s2

1s

Be = 1s2 2s2

1s 2s

+1e-

+2e-

e-

+4e-

e-e-

e-

Page 79: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

B. Electron Configuration Notation: eliminates the lines and arrows of orbital notation. Instead, the number of electrons in a sublevel is shown by adding a superscript to the sublevel designation. The superscript indicates the number of electrons present in that sublevel.

Page 80: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Examples:

Hydrogen: 1s1 Helium: 1s2

Lithium: 1s22s1

Carbon: 1s22s22p2

You try to write the notation for Titanium

Page 81: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Fe = 1s1 2s22p63s23p64s23d6

1s 2s 2px 2py 2pz 3s 3px 3py 3pz

+26

e-

e-

e-

e-

4s 3d 3d 3d 3d

Iron has ___ electrons.26

3d

ArbitraryEnergy Scale

18

18

32

8

8

2

1s

2s 2p

3s 3p

4s 4p 3d

5s 5p 4d

6s 6p 5d 4f

NUCLEUS

e-

e-e-

e-

e- e-

e-

e-

e-

e-

e-

e-

e-e-

e-

e-

e-

e-

e- e-

e-

e-

Page 82: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Orbital Filling

Element 1s 2s 2px 2py 2pz 3s Configuration

Orbital Filling

Element 1s 2s 2px 2py 2pz 3s Configuration

Electron ConfigurationsElectron

H

He

Li

C

N

O

F

Ne

Na

1s1

1s22s22p63s1

1s22s22p6

1s22s22p5

1s22s22p4

1s22s22p3

1s22s22p2

1s22s1

1s2

NOT CORRECTViolates Hund’s

Rule

Electron ConfigurationsElectron

H

He

Li

C

N

O

F

Ne

Na

1s1

1s22s22p63s1

1s22s22p6

1s22s22p5

1s22s22p4

1s22s22p3

1s22s22p2

1s22s1

1s2

Page 83: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

C. Short Hand or Noble Gas Notation: Use the noble gases that have complete inner energy levels and an outer energy level with complete s and p orbital’s. Use the noble gas that just precedes the element you are working with.

Page 84: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Boron is ls22s22p1

The noble gas preceding Boron is He, so the short way is [He]2s22p1.

Sulfur is ls22s22p63s23p4

Short way: [Ne]3s23p4

Example: Titanium

Page 85: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

More Practice Problems: Write electron configurations for each of the following

atoms:1. boron2. sulfur3. vanadium4. iodineDraw orbital diagrams for these:5. sodium6. phosphorus7. chlorineWrite shorthand electron configuration for the following:8. Sr9. Mo 10. Ge

Page 86: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Irregular Electron configurations – sometimes the electron configuration is NOT what we would predict it to be. Sometimes electrons are moved because (l) it will result in greater stability for that atom or (2) for some unknown reason??

Page 87: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

It is very important to define “stable” here. STABLE means:

1. all degenerate (equal energy) orbital’s are FULL

2. all degenerate orbital’s are half-full

3. all degenerate orbital’s are totally empty.

Page 88: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Examples – draw the orbital’s (lines or boxes) and fill each orbital with the predicted number of electrons. Predict the electron configuration for Cr #24: [Ar]4s23d6

However, the real E. C. is [Ar]4s13d5. The 4s1 electron has been moved to achieve greater stability.

ALWAYS USE THE ACTUAL E. C. AND NOT THE PREDICTED ONE. YOU WILL HAVE THESE ATOMS WITH IRREGULAR E. C. HIGHLIGHTED OR MARKED ON YOUR PERIODIC TABLE.

Page 89: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

Electron configurations for Ions-First, determine if the element will lose or gain electrons. Secondly, what number of electrons will be gained or lost? It is recommended that you write the e.c. for the atom and then determine what will happen.

Page 90: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

For cations (positive ions) – look at the element and decide how many electrons will be lost when it ionizes and keep that in mind when writing the E. C. The last number in the E. C. will now be LESS than what is written on your periodic table.Ex. Write the electron configuration for magnesium ion: [Ne]3s2 is for the atom. Mg is a metal and will lose its valence (outer) electrons, so the e.c. for Mg2+ is 1s22s22p6

Practice: 1. #32. #123. #194. #13

Page 91: Arrangement of Electrons in Atoms (Chapter 4) Notes Part 1 Electromagnetic Radiation

For anions (negative ions) – look at the element and decide how many electrons that element will GAIN when it ionizes. The last number in the E. C. will be MORE than what is written on the periodic table.Ex. Sulfide ion: Sulfur atom is 1s22s22p4. Sulfur is a nonmetal with 6 valence electrons (2s2 and 2p4) and will gain 2 electrons: 1s22s22p6 is for the sulfide ion.Practice:

1. #172. #73. #164. #30