Electromagnetic Radiation and Energy

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Electromagnetic

Radiation and Energy

Electromagnetic Radiation:

Energy traveling through space

Three Characteristics of Waves:

1.

Wavelength: (symbolized l)

1. Distance between two consecutive peaks or troughs in a wave

2.

Frequency: (symbolized n)

1. How many waves pass a given point per second

3.

Speed: (symbolized c)

1. How fast a given peak moves through space

1

2

Electromagnetic

Radiation and Energy

c = λ x ν c = speed of light = 2.9979 x 10 8 m/s

ν = frequency (s -1 or Hz)

λ = wavelength (m)

3

4

Spectra

Sunlight yields continuous spectrum

Energized gaseous elements yield certain wavelengths

– Line emission spectrum

5

Rydberg

Why did gaseous atoms emit certain wavelengths?

– Didn’t find out why, but came up with an equation

Rydberg equation

– N=3, red line

– N=4, green line

– N=5, blue line

Lyman series

– n > 1 to n = 1

UV (invisible)

1 l

R (

2

1

2

 n

1

2

Balmer series

– n > 2 to n = 2

Visible wavelengths

-1

6

The Bohr Model of the Atom

Explained Rydberg

Electron energy quantized

– Electron only occupies certain energy levels or orbitals

• If it didn’t, electron would crash into protons in nucleus

• As “n” increases energy becomes less negative

– Increases

Only certain amts of E may be absorbed/emitted

• If electron in lowest possible energy level

Ground state

If electron in excited energy level

– Excited state

One can calculate energy needed to raise H electron per atom from ground state (n=1) to first excited state (n=2)

E = E - E = () ( f i

Rhc

2 2

 

Rhc

; J/atom n 2

Rhc

)

984kJ/mol

1 2

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Bohr’s Model

Explains emission spectrum of H

– Movement of electrons from one quantized energy level to a lower one gave distinct emission wavelengths

Model only good for one electron system

8

Atomic orbital

The probability function that defines the distribution of electron density in space around the atomic nucleus.

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The s-orbital

• The simplest orbital

The only orbital in the s-subshell

Occurs in every principal energy level

• “s” stands for “sharp”

• The first energy level only houses this orbital

• Can house up to 2 electrons

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The p-orbitals

Start in second principle energy level (n=2)

There are three p-orbitals in the p-subshell (see below)

– And one s-orbital

• “p” stands for “principle”

• Can house up to 6 electrons

• Has one nodal surface

– Nodal plane = a planar surface in which there’s zero probability of find an electron

2p x

2p y

2p z

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The d-orbitals

• Start in third principle energy level (n=3)

There are five d-orbitals in the d-subshell

– And one s-orbital

– And three p-orbitals

Can house up to 10 electrons

• “d” stands for “diffuse”

Has two nodal surfaces

3d yz

3d xz

3d xy

3d x 2 -y 2

3d z 2

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The f-orbitals

Start in fourth principle energy level (n=4)

There are seven f-orbitals in the f-subshell

– And one s-orbital

– And three p-orbitals

– And five d-orbitals

Can house up to 14 electrons

• “f” stands for “fundamental”

Has 3 nodal surfaces

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Electron configuration

• Electron must be identified as to where it is located

– Hydrogen:

• One electron in first energy level and s-subshell

– Thus, 1s 1 (= Aufbau electron configuration)

• 1 states energy level (n)

• s designates subshell

• Superscript 1 tells how many electrons are in the ssubshell

• Can also use orbital box or line diagrams

– Let’s take a look

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Pauli Exclusion Principle

An atomic orbital holds a maximum of two electrons

• Both electrons must have opposite spins

• m s

= +1/2 & -1/2

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Hund’s Rule

Electron configuration most stable with electrons in half-filled orbitals before coupling

16

Subshell filling order – not what one expected

17

Using the Periodic Table to advantage

18

Short-hand vs. long-hand

Aufbau electron configuration

F

Al

Ca

Br

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Exercises

Give me the Aufbau electron configurations for:

– Y

– Te

– Hf

– Tl

– 112

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Sundry matters pertaining to d-block metals

Stability is increased when:

– d-subshell is half-filled (d 5 )

– d-subshell is completely filled (d 10 )

• Electrons will be taken from the s-subshell to fill the dsubshell

– But there is a limit

• No more than 2 electrons taken from s-subshell

• Given the above, which subshell electrons will d-block metals lose first when they ionize?

• So what are the correct electron configurations of Cr and Ag?

• Caveat

– Not all metals follow the above; i.e., take from s-subshell and give to dsubshell

Ni & Pt, for example

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Sundry matters pertaining to f-block metals

Stability is increased when:

– f-subshell is half-filled (f 7 )

– f-subshell is completely filled (f 14 )

Electron will be taken from the d-subshell to fill the f-subshell

– Eu & Yb

– Am & No

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