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Page 1: Crystallization and tg

Summary to Date

• Solutions are thermodynamically stable within a range of temperatures and compositions. Solutions more concentrated than their limit will tend to crystallize until the residual solution is back at the saturation limit.

• Crystal formation requires the formation of a nucleus which can be a slow process due to the trade off between surface energy costs (G>0) and volume energy gains giving a free energy barrier for the formation of small crystals.

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• Almost always heterogeneous nucleation is faster than homogeneous nucleation.

• More solid will then deposit on the nuclei (crystal growth) until the supersaturation is relieved.

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• Inventors: Alan J. Forage & William J. Byrne • Assignee: Arthur Guinness Son & Co., Ltd.

• The gas pod in the can is blow molded with nitrogen (N). • A laser zaps a hole in the pod. (they experimented with holes

between 0.2mm and 2.5mm finding that 0.61 mm as ideal) • Pod is inserted in the bottom of can. • Can is filled with CO2/N supersaturated stout. N is present at 1.5%

v/v min up to 3.5% v/v. (FYI, vol/vol is the number of volumes of gas which are dissolved in a unit volume of beverage at 760mm of Hg & 15.6 oC) CO2 is present at between 0.8 and 1.5% v/v.

• During filling, foam rises to top of can. This clears the air. • A charge of liquid N is added to the stout. • Can is sealed. • As liquid N boils off in can during pasteurisation (60 oC for 15-20

min), top of can pressurizes and forces the stout into the pod, thus compressing the ambient pressure N in the pod.

• Equilibrium is reached at about 25 psi.

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Mechanism of Growth

There is a surface tension between phases “Solid” molecules strongly

attract other ice molecules

Crystal Melt

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Small Crystals

“Solid” molecules in small crystals are less strongly attached than those in large crystals

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The Kelvin Equation

r

M

.

..2

s

sln RT

0.01%

0.10%

1.00%

10.00%

100.00%

0.001 0.01 0.1 1

Particle size

incr

ease

in s

olub

ility

r = crystal radiuss = crystal solubility

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Ostwald Ripening

diffusion diffusion diffusion diffusion

<<disappear>>

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Stages in Crystal Growth

• Nucleation (homogeneous or heterogeneous)

• Growth (no change in crystal number)

• “Perfection”

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What if it doesn’t crystallize?

(at a molecular level, how do things crystallize?)

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Fondant Manufacture

• Cook to 114-120°C

• Cool quickly and gently to 45°C

• Vigorously mix until all clarity is lost and a creamed malleable mass is formed

• Ripen and mature for 24 h

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Temperature

Thermodynamic pressure for phase

transition

Molecular mobility

Melting pointGlass transition temperature

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Log

T

15

12

0

Tg Tm

20-100oCG

LA

SS

RUBBER

SO

LU

TIO

N

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Solution

Glass

S.S.soln.

Ice+Soln.

Ice+S.S. glass

TE

Tg

Conc. Solute, %0 100

Tem

p, o C

60

30

0

Ice+S.S. Soln.

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50 m

Ice Crystals in Ice Cream

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Sensory Effects of Ice Crystals

Ice Crystal Size (m)

Cry

stal

det

ecta

bili

ty

Sen

sory

sm

ooth

ness

25 50

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Thermodynamics of Crystallization

Glass

Solution

Concentration

Tem

pera

ture

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Freezing Point Curve

Temp /°C

0 -10 -20 -30 -40

0%

50%

100%

Wat

er f

roze

n

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Simplified Flow Chart

Freezer Hardening Distribution

-5°C -18°C -15°C

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The Ice-Cream Freezer

• Mix is cooled to about -10oC

• Vigorous mixing• Air is incorporated

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Effect of Dasher

1. Ice crystals grow from cold wall

3. Dendrite grows in barrel center

2. Dasher cuts off dendrite

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Domestic vs Commercial Freezers

Why do commercial freezers make smoother ice cream than domestic

freezers?

• Boiling ammonia –30°C

• Saturated brine –10°C

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Hardening

• At the freezer exit the product is packed

and cooled to -18°C in a tunnel freezer

Temp /°C

0 -10 -20 -30 -400%

50%

100%W

ater

fro

zenHow does the

number and size of crystals change in the hardening room?

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Distribution

• Plant freezers

• Refrigerated distribution

• Store freezers

• Domestic freezerstransfer

transfer

transfer

How does the number and size of crystals change during distribution?

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Ice Coarsening

• Ice cream may coarsen during storage, particularly if:– stored too warm– temperature fluctuation during storage

• Coarsened product is associated with a cold, icy, and gritty mouthfeel

• Caused by many, large crystals (>55 m)

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Effect of Unfrozen Matrix

Diffusion

Tg?Stabilizers?

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Simplified Flow Chart

Freezer Hardening Distribution

-5°C -18°C -15°C

~35 m50% Frozen

~45 m80% Frozen

NucleationGrowth

Growth MeltingGrowthRipening