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ATOMIC STRUCTURE

AND PERIODIC

TRENDS

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CHARACTERISTICS

wavelength (λ) — (lambda) length between 2 successive crests.frequency (υ) — (nu in chemistry; f in physics—either is OK),

number of cycles per second that pass a certain point in space (Hz - cycles per second)

amplitude — maximum height of a wave as measured from the

axis of propagation.

nodes — points of zero amplitude (equilibrium position); always

occur at λ/2 for sinusoidal waves

velocity — speed of the wave, equals λ υ

speed of light, c — 2.99792458 × 108 m/s; we will use 3.0 x 108 m/

s (on reference sheet). All electromagnetic radiation travels at this speed. If “light” is involved, it travels at 3 × 108 m/s.

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PRACTICE ONE

Frequency of Electromagnetic Radiation

The brilliant red colors seen in fireworks are due to the emission of light with wavelengths around 650 nm when strontium salts such as Sr(NO3)2 and SrCO3 are heated. Calculate the frequency of red light of wavelength 6.50 × 102 nm. You must be able to convert nm to m because the

(6)

THE NATURE OF MATTER

In the early 20th century, certain experiments showed that

matter could not absorb or emit any quantity of energy - this did not hold with the generally accepted notion.

1900 - Max Planck solved the problem. He made an

incredible assumption: There is a minimum

amount of energy that can be gained or lost by an atom,

and all energy gained or lost must be some

integer multiple, n, of that minimum.

There is no such thing as a transfer of energy in fractions

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CALCUALTING ENERGY

ΔEnergy =

n

(

h

υ

)

where

h

is a proportionality constant, Planck's

constant,

h

= 6.6260755 × 10

-34

joule • seconds.

We will use 6.626 x 10

-34

Js (on reference sheet).

This υ is the lowest frequency that can be

absorbed or emitted by the atom, and the

minimum energy change,

h

υ, is called a

quantum

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PRACTICE TWO

The Energy of a Photon

The blue color in fireworks is often achieved by heating

copper(I) chloride to about 1200°C. Then the compound emits blue light having a wavelength of 450 nm. What is the increment of energy (the quantum) that is emitted at 4.50 × 102 nm by CuCl? Planck's formula requires

(9)

THE PHOTOELECTRIC EFFECT

In 1900 Albert Einstein was working as a clerk in the

patent office in Bern, Switzerland and he proposed that electromagnetic, EM, radiation itself was quantized. He

proposed that EM radiation could be viewed as a stream of particles called photons.

photoelectric effect — light bombards the surface of a metal and electrons are ejected.

A Demonstration:

http://www.youtube.com/watch?v=0qKrOF-gJZ4

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PHOTOELECTRIC EFFECT

frequency

— a minimum υ must be met or

alas, no action! Once minimum is met, intensity

increases the rate of ejection.

photon

— massless particles of light.

Use Planck’s formula and constant

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CALCULATING MASS

Rearrange Einstein’s famous formula:

m = E

c

2

Therefore

m = E = h

c/λ =

h

c

2

c

2

λc

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SUMMARY

Energy is quantized.

It can occur only in discrete units called quanta [hυ].EM radiation exhibits wave and particle properties.

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MORE

Since light which was thought to be wavelike now has

certain characteristics of particulate matter, is the converse also true?

French physicist Louis de Broglie (1923):

If m = h/λc, substitute v [velocity] for c for any object NOT

traveling at the speed of light, then rearrange and solve for lambda (wavelength).

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PRACTICE THREE

Calculations of Wavelength

Compare the wavelength for an electron (mass = 9.11 ×

10-31 kg) traveling at a speed of 1.0 × 107 m/s with that for

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FUN FACTS

The more massive the object, the smaller its associated

wavelength and vice versa.

Davisson and Germer @ Bell labs found that a beam of

electrons was diffracted like light waves by the atoms of a thin sheet of metal foil and that de Broglie's relation was followed quantitatively.

ANY moving particle has an associated wavelength.

We now know that Energy is really a form of matter, and

ALL matter shows the same types of properties. That is,

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ATOMIC LINE (EMISSION) SPECTRA

emission spectrum — the spectrum of bright lines,

bands, or continuous radiation that is provided by a

specific emitting substance as it loses energy and returns to its ground state OR the collection of frequencies of light given off by an "excited" electron

absorption spectrum — a graph or display relating how

a substance absorbs electromagnetic radiation as a function of wavelength

line spectrum — isolate a thin beam by passing through

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HYDROGEN

ATOMIC EMISSION SPECTRA

Niels Bohr connected spectra and the quantum ideas of

Einstein and Planck: the single electron of the hydrogen atom could occupy only certain energy states, stationary states

An electron in an atom would remain in its lowest E state

unless otherwise disturbed.

Energy is absorbed or emitted by a change from this

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AN EXPLANATION

an electron with n = 1 has the most negative energy and

is thus the most strongly attracted to the positive nucleus. [Higher states have less negative values and are not as strongly attracted to the positive nucleus.]

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AN EXPLANTION

To move from ground to n = 2 the electron/atom must

absorb no more or no less than a prescribed amount of energy

What goes up must come down. Energy absorbed must

eventually be emitted.

The origin or atomic line spectra is the movement of electrons between quantized energy states.

IF an electron moves from higher to lower E states, a

(22)

CALCULATING ENERGY OF ENERGY LEVELS

IN HYDROGEN ATOM

Bohr’s equation for calculating the energy of the E levels

available to the electron in the hydrogen atom:

E = -2.178 x 10-18J Z 2

n2

where n is an integer (larger n means larger orbit radius,

farther from nucleus),

Z is the nuclear charge, the (-) sign simply means that the E

of the electron bound to the nucleus is lower than it would be if the electron were at an infinite distance [n = ∞] from the

(23)

CALCULATING ENERGY OF ENERGY LEVELS

IN HYDROGEN ATOM

This equation can be used to calculate the change in

energy of an electron when it changes orbits. This

happens when electrons gain energy (get excited) and

jump to a higher energy level or lose this energy and drop to a lower energy level.

∆E = difference between the energies for the two levels.If ∆E is (-), energy was lost. If ∆E is (+), then energy was

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CALCULATING ENERGY OF ENERGY LEVELS

IN HYDROGEN ATOM

You can also calculate the wavelength of this

emitted photon using the equation:

= hc

∆E

Use the absolute value of ∆E. Energy flow is

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PRACTICE FOUR

Energy Quantization in Hydrogen

Calculate the energy required to excite the hydrogen

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Two important points about Bohr's Model

1.

The model correctly fits the quantized energy

levels of the hydrogen atom and postulates only

certain allowed circular orbits for the electron.

2.

As the electron becomes more tightly bound,

its energy becomes more negative relative to

the zero energy reference state (corresponding

to the electron being at infinite distance from the

nucleus). As the electron is brought closer to

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Two shortcomings about Bohr's Model

1.

Bohr's model does not work for atoms other

than hydrogen.

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PRACTICE FIVE

Calculate the energy required to remove the electron from a hydrogen atom in its ground state. Removing the

(29)

THE QUANTUM MECHANICAL MODEL OF THE

ATOM

Bohr model would not work.

de Broglie opened a can of worms among physicists by

suggesting the electron had wave properties because that meant that the electron has dual properties.

Werner Heisenberg and Max Born provided the uncertainty

principle - if you want to define the momentum of an electron, then you have to forego knowledge of its exact position at the time of the measurement.

Max Born suggested: if we choose to know the energy of an

(30)

THE WAVE MECHANICAL VIEW OF THE ATOM

 Schrodinger equation: solutions are called wave functions - chemically important. The electron is characterized as a matter-wave

 sort of standing waves - only certain allowed wave functions (symbolized by the Greek letter, ψ, pronounced “sigh”)

 Each ψ for the electron in the H atom

corresponds to an allowed energy. For each integer, n, there is an atomic state

characterized by its own ψ and energy En.

(31)

THE WAVE MECHANICAL VIEW OF THE ATOM

the square of ψ gives the intensity of the electron wave or

the probability of finding the electron at the point P in space about the nucleus.

electron density map, electron density and electron

probability ALL mean the same thing!

matter-waves for allowed energy states are also called

(32)

THE WAVE MECHANICAL VIEW OF THE ATOM

To solve Schrodinger's equation in a 3-dimensional world,

we need the quantum numbers n, ℓ , and m

The amplitude of the electron wave at a point depends

on the distance of the point from the nucleus.

Imagine that the space around a Hydrogen nucleus is

(33)

THE WAVE MECHANICAL VIEW OF THE ATOM

Plot the total probability of finding the electron in each

shell versus the distance from the nucleus and you get the radial probability graph you see in (b).

(34)

THE WAVE MECHANICAL VIEW OF THE ATOM

The maximum in the curve occurs because of two

opposing effects.

the probability of finding an electron is greatest near the

nucleus [electrons just can’t resist the attraction of a proton!].

BUT - the volume of the spherical shell increases with

distance from the nucleus, so we are summing more positions of possibility, so the TOTAL probability

(35)

QUANTUM NUMBERS

n — principal energy level — 1 to infinity.

Determines the total energy of the electron.

It indicates the most probable distance of the electron

from the nucleus within 90%.

A measure of the orbital size or diameter. 2n2 electrons may be assigned to a shell.

Translation: the energy level that electron is in. If it’s a 3s

(36)

QUANTUM NUMBERS

ℓ - angular momentum — 0,1,2,....(n-1)

electrons within each shell may be grouped into subshells

or sublevels

each characterized by its certain wave shape.

Each is a different orbital shape or orbital type.

n limits the values of to no larger than n-1. Thus, the

number of possibilities for is equal to n. s,p,d,f sublevels → 0,1,2,3 ℓ-values respectively

spdf stand for - Sharp, principle, diffuse, fundamental.

Translation: 3 sublevels for 3rd energy level (s, p, d), 4 for

(37)

QUANTUM NUMBERS

mℓ, magnetic

this designates the orientation of an orbital in a given sublevels = 1 sublevel, p = three sublevels, d = five sublevels, f =

seven sublevels.

Assign the slots in orbital diagrams with zero on the middle

blank and then -through zero to +ℓ; that means that the range of orbitals is from +to -

- The down arrow in the 3p, -1 slot is the last electron placed,

(38)

PRACTICE SIX

For principal quantum level n = 5, determine the number of allowed subshells (different values of ℓ), and give the

(39)

2014 AP Chemistry test

The 2014 AP Chemistry test will not require you to determine the quantum numbers for any given

(40)
(41)

ORBITALS SHAPES AND ENERGIES

s – sharpSpherical

The size increases with n. The nodes you see at right

represent ZERO probability of finding the electron in that

region of space.

The number of nodes equals

(42)

ORBITALS SHAPES AND ENERGIES

p – principle

has one plane that slices through the nucleus and divides

the region of electron density into 2 halves.

(43)

ORBITALS SHAPES AND ENERGIES

d – diffuse

has two nodal planes slicing through the nucleus to create

four sections

(44)

ORBITALS SHAPES AND ENERGIES

f – fundamental

has three nodal planes slicing through the nucleuseight sections

(45)

ELECTRON SPIN AND THE PAULI PRINCIPLE

If electrons interact with a

magnetic field, there must be one more concept to explain the

behavior of electrons in atoms.

ms - the 4th quantum number;

(46)

QUANTUM NUMBERS

ms, electron spin

Each electron has a magnetic field with N and S polesElectron spin is quantized such that, in an external

magnetic field, only two orientations of the electron magnet and its spin are possible

(47)

MAGNETISM

magnetite - Fe3O4, natural magnetic oxide of iron

1600 -William Gilbert concluded the earth is also a large

spherical magnet with magnetic south at the geographic North Pole.

NEVER FORGET: opposites attract & likes repel whether

(48)

PARAMAGNETISM AND UNPAIRED

ELECTRONS

diamagnetic - not magnetic [magnetism dies]; in fact they

are slightly repelled by a magnetic field. Occurs when all electrons are PAIRED.

paramagnetic - attracted to a magnetic field; lose their

magnetism when removed from the magnetic field; has one or more UNPAIRED electrons.

ferromagnetic - retain magnetism upon introduction to and

then removal from a magnetic field

(49)

PARAMAGNETISM AND UNPAIRED

ELECTRONS

H is paramagnetic; He is diamagnetic, WHY?

H ____

H has one unpaired electron

He ____

He has NO unpaired electrons; all spins offset and cancel

(50)

FERROMAGNETIC

clusters of atoms have their unpaired electrons

aligned within a cluster, clusters are more or less

aligned and substance acts as a magnet.

Don't

drop it!!

When all of the domains, represented by the

arrows, are aligned, it behaves as a magnet.

If you drop it: The domains go in all different

(51)

PAULI’S EXCLUSION PRINCIPLE

No two electrons in an atom can have the

same set of four quantum

numbers

.

This means no atomic orbital can contain more

than 2 electrons

When two electrons occupy the same orbital, they

(52)

ATOMIC ORBITAL ENERGIES AND ELECTRON

ASSIGNMENTS

Order of orbital energies - the value of n determines the

energy of an electron.

Use the diagonal rule.

subshell orbitals contract toward the nucleus as the

value of ℓ increases.

contraction is partially into the volume of space occupied

by the core electrons.

the energy of the electrons in these subshells is raised

due to the repulsions between the subshell electrons and the core electrons.

(53)

Order of Orbital Assignments

each electron is lazy and occupies the lowest

energy space available

based on the assumption inner electrons have no

effect on which orbitals are assigned to outer or

valence electrons

You should always use the energy order for filling

(54)
(55)
(56)
(57)

ELECTRON CONFIGURATION

Need energy level, orbital, and number of electrons in

orbital

2s

2

Principle quantum number

orbital

Number of electrons in orbital

Maximum electrons allowed:

(58)

14e-ORBITAL DIAGRAMS

Using the electron

configuration, draw arrows for the electrons in each orbital.

Use lines or boxes to

(59)

ORBITAL DIAGRAMS

http://intro.chem.okstate.edu/WorkshopFolder/

Electronconf.html

Click on Electron Configuration Animation. Once the animation comes up, click on the

screen to advance from Hydrogen on up by atomic

(60)

HUND’S RULE

The most stable arrangement of electrons is that with the

maximum number of unpaired electrons

WHY?? it minimizes electron-electron repulsions

(everyone gets their own room)

all single electrons also have parallel spins to reduce

electron-electron repulsions.

When two electrons occupy the same orbital they must

(61)

PRACTICE SEVEN

Write the electron configuration for the following elements. The first one is done for you.

S 1s22s22p63s23p4

Cd

La

Hf

Ra

(62)

PRACTICE SEVEN

Write the electron configuration for the following elements. The first one is done for you.

Cd 1s22s22p63s23p64s23d104p65s24d10

La 1s22s22p63s23p64s23d104p65s24d105p66s25d1

Hf 1s22s22p63s23p64s23d104p65s24d105p66s24f145d2

Ra 1s22s22p63s23p64s23d104p65s24d105p66s24f145d106p67s2

(63)

PRACTICE EIGHT

Write the orbital diagrams for the following elements

Cd

La

Hf

Ra

(64)

PRACTICE EIGHT

Write the orbital diagrams for the following elements Cd (Z = 48)

↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓

La (Z = 57)

↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ /↑↓ / ↑

Hf (Z = 72)

↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ /↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑ ↑

Ra (Z = 88)

↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ /↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ / ↑↓ ↑↓ ↑↓ / ↑↓ /

Ac (Z = 89)

(65)

ELECTRON CONFIGURATION EXCEPTIONS and ION

ORBITAL ENERGIES

Elements in the transition and inner transition areas do

not always follow the appropriate filling. This is sometimes referred to as the dfs overlay.

Exceptions do not occur in ion configurations since the

valence electrons are the first to go. The shell energy ranges separate more widely as electrons are removed.

Transition metals with +2 or higher have no ns electronsFe+2 is paramagnetic to the extent of 4 unpaired electrons

and Fe+3 is paramagnetic to the extent of 5 unpaired

(66)
(67)

EXPLANING THE EXCEPTIONS

The sublevels had differences in energies long ago.The increasing order of energies: s < p < d < f < g…

Now you have to be able to EXPLAIN it on the AP test. Throughout this discussion keep some fundamental scientific principles close at hand

electrons repel each other

electrons are negative and thus, attracted by

the positive nucleus

forces (attractive & repulsive) dissipate with

(68)

EXPLAINING THE EXCEPTIONS

mighty close to the nucleus; energy is very low

(69)

EXPLAINING THE EXCEPTIONS

MORAL: The greater the penetration, the

less energy that orbital has. Since you already knew the order with

respect to energy, s < p < d < f , the degree of penetration is s’s

(70)

THE HISTORY OF THE PERIODIC TABLE

1800ish

Johann Dobereiner, triads

1864

John Newlands octaves

1870

Dmitrii Mendeleev & Julius Lothar

Meyer, by mass

(71)
(72)

BASIC FAMILY FACTS

Group 1, ALKALI METALS — the most reactive metal family; must be stored under oil; react with water violently!

Group 2, ALKALINE EARTH METALS — except for

Be(OH)2, the metal hydroxides formed by this group provide basic solutions in water; pastes of these used in batteries

Group 16, CHALCOGENS — many found combined with metal ores

(73)

BASIC FAMILY FACTS

Groups 18, NOBLE GASES — known for their disinterest in other elements; once thought to never react; neon used to make bright red signs

Groups 3-12, TRANSITION METALS — fill the d orbitals; Anomalies occur at Chromium and Copper to minimize

electron/electron repulsions - it is about lowering energy by minimizing electron/electron repulsions.

RARE EARTH ELEMENTS (Inner Transition) — fill the f

(74)

PERIODIC TRENDS

This is an important section—there is almost always an

essay involving this topic on the AP exam.

There are several arguments you will evoke to EXPLAIN a

periodic trend.

Remember opposites attractand likes repel.

The trick is learning which argument to use when

explaining a certain trend!

(75)

THE ARGUMENTS

1.

Effective nuclear charge, Zeff

essentially equal to the group number. Think of

the Alkali Metals (Group 1) having a Zeff of one

while the Halogens (Group 7) have a Zeff of 7.

The idea is that the higher the Zeff, the more

positive the nucleus, the more attractive force

there is emanating from the nucleus drawing

(76)

THE ARGUMENTS

2. Distance

Attractive forces dissipate with increased distance. Distant electrons are held loosely and thus easily

removed. Relate this to ENERGY whenever possible.

3. Shielding

Electrons in the “core” effectively shield the nucleus’

attractive force for the valence electrons. Use this ONLY when going up and down the table, NOT across. There is ineffective shielding within a sublevel or energy level.

(77)

THE ARGUMENTS

4. Minimize electron/electron repulsions

(78)

THE ARGUMENTS

Trends across a period

Effective Nuclear Charge, Zeff

Minimize electron/electron repulsions

Trends down a group

(79)

ATOMIC RADIUS

Often called covalent atomic radii because of how

they are determined.

Use diatomic molecules and determine radius

then react with other atoms to determine the

radius of those atoms

TREND:

Atomic radii decreases

(

)

moving

(80)
(81)

ATOMIC RADIUS

WHY ↓ across? The effective nuclear charge (Zeff)

increases (more protons for the same number of energy levels) as we move from left to right across the periodic table, so the nucleus has a greater positive charge, thus the entire electron cloud is more strongly attracted and “shrinks”. This shrinks the electron cloud until…the point at which electron/electron repulsions overcome the

(82)

ATOMIC RADIUS

WHY ↑ down? The principal level, n, determines the size

of an atom—add another principal level and the atoms get MUCH larger radii. As we move down a family, the

attractive force the nucleus exerts on the valence

electrons dissipates. Shielding is only a valid argument when comparing elements from period to period (up and down the table) since shielding is incomplete within a

(83)

IONIZATION ENERGY, IE

Energy required to remove an electron from the atom IN

THE GAS PHASE. Costs Energy.

Removing each subsequent electron requires more

energy: Second IE, Third IE, etc.

Some subsequent IEs cost more E than others!! A HUGE

energy price is paid if the subsequent removal of

electrons is from another sublevel or another principal E level (core).

(84)
(85)

IONIZATION ENERGY, IE

WHY ↓ down a family — increased distance from the

nucleus and increased shielding by full principal E levels means it requires less E to remove an electron

WHY ↑across a period — due to increasing Zeff. The

(86)

IONIZATION ENERGY, IE

EXCEPTIONS

At a half-filled or filled sublevel. When electron pairing first occurs

within an orbital, there is an increase in electron/electron repulsions which makes it require less energy [easier] to remove an electron thus the IE drops.

From p3 to p4. It requires less energy to remove an electron from

oxygen’s valence IN SPITE OF AN INCREASING Zeff because oxygen’s

p4 electron is the first to pair within the orbital thus experiencing increased repulsion. The increased repulsion lowers the amount of energy required to remove the newly paired electron!

From any s2 to p1. This is also IN SPITE OF AN INCREASING Zeff.

This drop in the energy required to remove a valence electron is due to the fact that you are removing a p electron rather than an s electron. The

(87)

ELECTRON AFFINITY

An affinity or “liking” for electrons — force feeding an

element an electron.

Energy associated with the addition of an electron to a

gaseous atom: X(g) + e− → X− (g)

If the addition of an electron is exothermic, then you’ll see

a negative sign on the energy change and the converse is also true. The more negative the quantity, the more E is released.

(88)
(89)

ELECTRON AFFIINITY

WHY ↓ down a family — becomes less negative, a.k.a.

more positive, giving off less energy due to increased

distance from the nucleus with each increasing principal E level. The nucleus is farther from the valence level and

more shielded.

WHY↑ across a period — becomes more negative,

(90)
(91)

ELECTRON AFFIINITY

EXCEPTIONS

First the lines on the diagram above connect adjacent

elements. The absence of a line indicates missing elements whose atoms do not add an electron

exothermically and thus do not form stable isolated anions — remember these are all –1 ions at this point.

An anomaly — No N−1 yet there is a C-1 — this is due to

(92)

ELECTRON AFFIINITY

Exceptions

O-2 doesn’t exist in isolated form for the same reason. It is

p4, so adding the first electron causes a subsequent

pairing BUT it has a greater Zeff than N, so it can form O -1. BUT adding the second electron fills the p’s and that

increased e-/e- repulsion overpowers the Zeff of oxygen.

F has really strong e-/e- repulsion since the p orbitals are

really small in the second level therefore repulsions are high. In subsequent halogen orbitals, it is not as

(93)

IONIC RADII

TREND: Cations shrink big time since the nucleus is now

attracting fewer electrons; Anions expand since the

nucleus is now attracting MORE electrons than there are protons AND there is enhanced electron/electron

repulsion to boot.

Isoelectronic — ions containing the same number of

electrons - consider the # of protons to determine size. Oxide vs. Fluoride. Fluoride has one more proton which further attracts the electron cloud, so it is smaller.

(94)

IONIC RADII

(95)

IONIC RADII

(96)

ELECTRONEGATIVITY, Eneg

The ability of an atom IN A MOLECULE, participating in

a BOND, to attract shared electrons to itself. Higher

electronegativity means it wins the tug of war for the electron(s).

TREND: ↑ across a period, ↓ down a group.

Why is F the most? Highest Zeff and smallest so that the

nucleus is closest to the valence

e-• Why is Fr the least? Lowest Zeff and largest so that the

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(98)

PRACTICE NINE

Trends in Ionization Energies

The first ionization energy for phosphorus is 1060 kJ/mol,

(99)

PRACTICE TEN

Ionization Energies

Consider atoms with the following electron configurations: a. 1s22s22p6

b. 1s22s22p63s1

c. 1s22s22p63s2

Identify each atom. Which atom has the largest first

(100)

PRACTICE ELEVEN

Trends in Radii

Predict the trend in radius for the following ions: Be2+, Mg2+,

http://www.youtube.com/watch?v=0qKrOF-gJZ4

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