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Liquids and solids Liquids and solids
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Liquids and solids compared to gases. They are incompressible. Their density doesn’t change with temperature. These similarities are due ◦ to.

Dec 26, 2015

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Page 1: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Liquids and solidsLiquids and solids

Page 2: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

compared to gases. They are incompressible. Their density doesn’t change

with temperature. These similarities are due

◦to the molecules being close together in solids and liquids

◦and far apart in gases What holds them close

together?

Page 3: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Inside molecules (intramolecular) the atoms are bonded to each other.

Intramolecular forces are covalent, ionic and metallic bonds

Intermolecular refers to the forces between the molecules...these may also involve those listed above.

These are what hold the molecules together in the condensed states.

Page 4: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Strong◦ covalent bonding◦ ionic bonding

Weak◦ Dipole-dipole◦ London dispersion forces

During phase changes the molecules stay intact.

Phase changes involve energy input or release…

Energy used to overcome I.M. forces.

Page 5: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Remember where the polar definition came from?

Molecules line up in the presence of a electric field. The opposite ends of the dipole can attract each other so the molecules stay close together.

1% as strong as covalent bonds. Weaker with greater distance. Small role in gases. (Which correction factor in the Van der

Waals Equation?)

Page 6: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Especially strong dipole-dipole forces when H is attached to N, O, or F

These three because-◦ They have high electronegativity.◦ They are small enough to allow close approach

of the dipoles. Affects boiling point, melting point, and

other colligative properties (freezing point

depression, boiling point elevation and osmotic pressure).

Page 7: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

CH4

SiH4

GeH4SnH4

PH3

NH3 SbH3

AsH3

H2O

H2SH2Se

H2Te

HF

HI

HBrHCl

Boiling Points

0ºC

100

-100

200

Page 8: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

+-

+

Page 9: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Ionic substances are soluble in water due to the high degree of polarity.

Ionic solubility in other solvents depends upon the solvent polarity.

Examine the solubility of an ionic compound K2SO4 in water vs. isopropyl alcohol.

70% isopropyl alcohol

Saturated K2SO4 soln.

Page 10: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Non-polar molecules also exert forces on each other.

Otherwise, nonpolar substances could not exist as solids or liquids.

Electrons are not evenly distributed at every instant in time.

Have an instantaneous dipole. Induces a dipole in the atom next to it. Induced dipole-induced dipole

interaction.

Page 11: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

H H H HH H H H

+ +

H H H H

+ - +

Page 12: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Weak, short lived. More significant at lower temperatures. Eventually enough to change gases to liquids. More electrons on a particle = more

polarizable. Bigger molecules, higher melting and boiling

points. Much, much weaker than other forces when

compared…but…can be strong! Also called Van der Waal’s forces.

Page 13: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Many of the properties due to internal attraction of atoms.◦ Beading◦ Surface tension ◦ Capillary action

Stronger intermolecular forces cause each of these to increase.

Page 14: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Molecules in the middle are attracted in all directions.

Molecules at the the top are only pulled inside.

Minimizes surface area.

Page 15: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Liquids spontaneously rise in a narrow tube. Intermolecular forces are cohesive,

connecting like things. Adhesive forces connect to something else. Glass is polar. It adhesively attracts water molecules.

Page 16: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 17: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

If a polar substance is placed on a non-polar surface (think of water beading up on a waxed car).◦ There are cohesive,◦ But no adhesive forces.

Page 18: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

How much a liquid resists flowing. Large forces, more viscous. Large molecules can get tangled up, which

increases viscosity (corn syrup). Cyclohexane has a lower viscosity than

hexane (examine their structures). Because it is a circle-more compact.

Page 19: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

◦ Hydrogen bonding◦ Polar bonding◦ LDF◦ Compare iodine, water and oil…

Page 20: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

The phase of a substance is determined by three things.

The temperature. The pressure. The strength of intermolecular

forces.

Page 21: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Two major types.Amorphous- those with much disorder in their structure.

Crystalline- have a regular arrangement of components in their structure.

Page 22: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Lattice- a three dimensional grid that describes the locations of the pieces in a crystalline solid.

Unit Cell-The smallest repeating unit in of the lattice.

Three common types.

Page 23: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 24: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 25: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 26: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

There are many amorphous solids.◦ Like glass.

We tend to focus on crystalline solids. Two Types.

◦ Ionic solids have ions at the lattice points.◦ Molecular solids have molecules.

Sugar vs. Salt.

Page 27: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Using diffraction patterns to identify crystal structures.

Talks about metals and the closest packing model.

It is interesting, but trivial…unless you are a crystallographer or geologist!

We need to focus on metallic bonding. Why do metal atoms stay together. How the bonding effects their properties.

Page 28: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

1s

2s2p

3s

3pFilled Molecular Orbitals

Empty Molecular Orbitals

Magnesium Atoms

Page 29: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Filled Molecular OrbitalsEmpty Molecular Orbitals

The 1s, 2s, and 2p electrons are close to nucleus, so they are not able to move around.

1s

2s2p

3s

3p

Magnesium Atoms

Page 30: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Filled Molecular OrbitalsEmpty Molecular Orbitals

1s

2s2p

3s

3p

Magnesium Atoms

The 3s and 3p orbitals overlap and form molecular orbitals.

Page 31: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Filled Molecular OrbitalsEmpty Molecular Orbitals

1s

2s2p

3s

3p

Magnesium Atoms

Electrons in these energy levels can travel freely throughout the crystal.

Page 32: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Filled Molecular OrbitalsEmpty Molecular Orbitals

1s

2s2p

3s

3p

Magnesium Atoms

This makes metals thermal and electrical conductors…

and malleable because the bonds are flexible.

Page 33: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

There are three types of solid carbon molecules (called allotropes)

Amorphous- coal…uninteresting. Diamond- hardest natural substance on

earth; electrical and thermal insulator.

Graphite- slippery, conducts electricity.

How the atoms in these network solids are connected explains these phenomena.

Page 34: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Carbon atoms are locked into tetrahedral shape.

Strong bonds give the huge molecule its hardness.

Page 35: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

The space between orbitals make it impossible for electrons to move around

Empty MOs

Filled MOs

E

Page 36: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Each carbon is connected to three other carbons and

sp2 hybridized. The molecule is flat

with 120º angles in fused 6 member rings.

The bonds extend above and below the plane.

Page 37: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Electrons are free to move throughout these delocalized orbitals.

The layers slide by each other. However, he bonding within the layer is very

strong CARBON FIBER!!!

Page 38: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 39: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Molecules occupy the corners of the lattices. Different molecules have different forces

between them. These forces depend on the size of the

molecule. They also depend on the strength and nature

of dipole moments. Molecular solids with dipoles are typically in

a condensed state of matter at room temp.

Page 40: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Dipole-dipole forces are generally stronger than L.D.F.

Hydrogen bonding is stronger than Dipole-dipole forces.

No matter how strong the intermolecular force, it is always much, much weaker than the forces in bonds.

Stronger forces lead to higher melting and boiling points.

What about vapor pressure? Examples?

Page 41: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Most are gases at 25ºC. The only forces are London Dispersion

Forces. These depend on the size of the particle. Large molecules (such as I2 ) can be solids

even without dipoles. Examine the phases of the halogens!

Page 42: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Each molecule has two polar O-H bonds.

HO

H

-

Page 43: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Each molecule has two polar O-H bonds.

Each molecule has two lone pairs of electrons on its oxygen.

HO

H

Page 44: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Each molecule has two polar O-H bonds.

Each molecule has two lone pairs on its oxygen.

Each oxygen can interact with 4 hydrogen atoms.

UNIQUE!

HO

H

Page 45: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

This gives water an especially high melting and boiling point.

HO

H

HO

H

HO

H

Page 46: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 47: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.
Page 48: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

The extremes in dipole-dipole forces…atoms are actually held together by opposite charges.

VERY HIGH melting and boiling points. Atoms are locked in lattice, making the

substance hard and brittle. Every electron is accounted for so they are

poor conductors-good insulators. Molten ionic substances will conduct (free

moving ions or e- = conductors)

Page 49: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Vaporization - change from liquid to gas at boiling point.

Evaporation - change from liquid to gas below boiling point

Heat (or Enthalpy) of Vaporization

(Hvap )- the energy required to

vaporize 1 mol at 1 atm.

Page 50: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Vaporization is an endothermic process - it requires heat.

Energy is required to overcome intermolecular forces.

Responsible for cool earth. Why we sweat (boys) or perspire (girls)!

Page 51: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Change from gas to liquid. Always exothermic! Achieves a dynamic equilibrium

with vaporization in a closed system. A closed system means matter can’t

go in or out. What the heck is a “dynamic

equilibrium?”

Page 52: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

When first sealed the molecules gradually escape the surface of the liquid.

Page 53: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

When first sealed the molecules gradually escape the surface of the liquid.

As the molecules build up above the liquid some condense back to a liquid.

Page 54: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

When first sealed the molecules gradually escape the surface of the liquid.

As the molecules build up above the liquid some condense back to a liquid.

As time goes by the rate of vaporization remains constant but the rate of condensation increases because there are more molecules to condense.

Page 55: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

When first sealed the molecules gradually escape the surface of the liquid

As the molecules build up above the liquid some condense back to a liquid.

As time goes by the rate of vaporization remains constant but

the rate of condensation increases because there are more molecules to condense.

Equilibrium is reached when

Page 56: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Rate of Vaporization = Rate of Condensation

Molecules are constantly changing phase

“Dynamic” The total amount of liquid and vapor

remains constant “Equilibrium”

Page 57: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

The pressure above the liquid at equilibrium.

Liquids with high vapor pressures evaporate easily. They are called volatile.

Decreases with increasing intermolecular forces. ◦ Bigger molecules (bigger LDF)◦ More polar molecules (dipole-dipole)

Page 58: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Increases with increasing temperature. Easily measured in a barometer. Diagramed in the next series of slides…

Page 59: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Dish of Hg

Vacuum

Patm=

760 torr

A barometer will hold a column of mercury 760 mm high at one atm

Page 60: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Dish of Hg

Vacuum

Patm=

760 torr

A barometer will hold a column of mercury 760 mm high at one atm.

If we inject a volatile liquid in the barometer it will rise to the top of the mercury.

Page 61: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Dish of Hg

Patm=

760 torr

A barometer will hold a column of mercury 760 mm high at one atm.

If we inject a volatile liquid in the barometer it will rise to the top of the mercury.

There it will vaporize and push the column of mercury down.

Water

Page 62: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Dish of Hg

736 mm Hg

Water Vapor

The mercury is pushed down by the vapor pressure.

Patm = PHg + Pvap

Patm - PHg = Pvap

760 - 736 = 24 torr

Page 63: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Kinetic energy

# of

mol

ecu

les

T1

Energy needed to overcome intermolecular forces

Page 64: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Kinetic energy

# of

mol

ecu

les

T1

Energy needed to overcome intermolecular forces

T1

T2

At higher temperature more molecules have enough energy - higher vapor pressure.

Energy needed to overcome intermolecular forces

Page 65: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

The graph of temperature versus heat applied is called a heating curve.

The temperature a solid turns to a liquid is the melting point.

The energy required to accomplish this change is called the Heat (or Enthalpy) of Fusion Hfus

Page 66: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

-40

-20

0

20

40

60

80

100

120

140

0 40 120 220 760 800

Heating Curve for Water

IceWater and Ice

Water

Water and Steam

Steam

Page 67: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

-40

-20

0

20

40

60

80

100

120

140

0 40 120 220 760 800

Heating Curve for Water

Heat of Fusion

Heat ofVaporization

Slope is Heat Capacity

Page 68: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Melting point is determined by the vapor pressure of the solid and the liquid.

At the melting point the vapor pressure of the solid = vapor pressure of the liquid

Page 69: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Solid Water

Liquid Water

Water Vapor Vapor

Page 70: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Solid Water

Liquid Water

Water Vapor Vapor

If the vapor pressure of the solid is higher than that of the liquid the solid will release molecules to achieve equilibrium.

Page 71: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Solid Water

Liquid Water

Water Vapor Vapor

While the molecules of condense to a liquid.

Page 72: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

This can only happen if the temperature is above the freezing point since solid is turning to liquid.

Solid Water

Liquid Water

Water Vapor Vapor

Page 73: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

If the vapor pressure of the liquid is higher than that of the solid, the liquid will release molecules to achieve equilibrium.

Solid Water

Liquid Water

Water Vapor Vapor

Page 74: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Solid Water

Liquid Water

Water Vapor Vapor

While the molecules condense to a solid.

Page 75: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

The temperature must be below the freezing point since the liquid is turning to a solid.

Solid Water

Liquid Water

Water Vapor Vapor

Page 76: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

If the vapor pressure of the solid and liquid are equal, the solid and liquid are vaporizing and condensing at the same rate…called The Melting point!

Solid Water

Liquid Water

Water Vapor Vapor

Page 77: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Reached when the vapor pressure equals the external pressure.

Normal boiling point is the boiling point at 1 atm pressure.

Super heating - Heating above the boiling point.

Supercooling - Cooling below the freezing point.

Page 78: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

A plot of temperature versus pressure for a closed system, with lines to indicate where there is a phase change.

Page 79: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Water’s triple point diagram is truly an anomaly.

Unfortunately, it is the most widely know substances and familiar to us!

Carbon dioxide’s triple point is much more like that of a “normal” pure substance.

Make sure you are familiar with this fact!

Page 80: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Temperature

SolidLiquid

Gas

1 Atm

AA

BB

CCD

D D

Pre

ssur

e

D

Page 81: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

SolidLiquid

Gas

Triple Point

Critical Point

Temperature

Pre

ssur

e

Page 82: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Solid Liquid

Gas

This is the phase diagram for water. The density of liquid water is higher

than solid water.

Temperature

Pre

ssur

e

Page 83: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

Solid Liquid

Gas

1 Atm

This is the phase diagram for CO2

The solid is more dense than the liquid The solid sublimes at 1 atm.

Temperature

Pre

ssur

e

Page 84: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

For carbon, the space between orbitals makes it impossible for electrons to move around…thus a great insulator! (not graphite)

Empty MOs

Filled MOs

E

Consider Carbon (in comparison to silicon)

Page 85: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

In silicon, the gap between orbitals is smaller…making it possible for electrons to cross the gap.

Empty MOs

Filled MOs

EIn fact…like other semiconductors, the conductivity of Si increases with increased temperatures!

(unlike metals)

Page 86: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.

If you replace some of the Si atoms with some As atoms…you create a n-type semiconductor

As has one more e- than Si…which becomes available for the conduction band.

n-type means a negative type (extra neg. e-) p-type occurs when you replace some Si

atoms with B which has one less valence e- This creates an electron hole (positive area)

Page 87: Liquids and solids  compared to gases.  They are incompressible.  Their density doesn’t change with temperature.  These similarities are due ◦ to.