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Fundamental of
Surface Tension
Kyowa Interface Science Co., Ltd.
2
Interfacial phenomena familiar with our life
Natural phenomena
Barberpoles swim on water surface.
Dews remains on lotus leaves.
Windows are clouded over with condensation.
Hairs are bound with moisture.
Plants drink up water from the soil.
Life environment
Detergents clean dishes and clothes.
Waxes on flooring materials to protect from soils
Ink-jet printers print.
Water/oil-repellent pan enables non-stick baking.
Hydrophilic finishing avoids condensation on windows.
Adhesive agents attach two objects.
Cosmetics are worn on skins
Cleaning up by water
3
Surface tension
Well, why water does not overflow?
A reason is that water has force to round of itself and remains at the
border of cup by shaping an arch. The force to round of itself (to reduce
area of surface) is Surface Tension.
Unit of surface tension is “mN/m” now. Once “dyne/cm” was being used
and the scale of those units are same.
When filling a cup with water, water does not overflow even if its
surface exceeds the level of cup border a little.
4
One Yen coin floats on water
Why Japanese one Yen can float on water?
Why the coin sinks when detergent is added?
5
Essentiality of Surface tension
It originates in Intermolecular forces between molecules.
In the bulk, Intermolecular forces work every direction and keep
balance.
On the surface, the balance is off and molecules exposed in the
surface are pulled inside.
The surface molecules demand others for interaction and surplus
energies generates there, which is Surface Tension.
Surface tension is peculiar physical property of each material has.
surface
bulk
6
Surface tension and Wettability
If the surface tension of a target liquid is large…
↓
Force to make the liquid round of itself will be strong.
↓
The liquid will be apt to be repelled by solid surfaces.
↓
Contact angle results larger. Wetting becomes worse.
If the surface tension of a target liquid is small…
↓
The liquid will allow to wet over the solid surfaces.
↓
Contact angle results smaller. Wetting becomes better.
↓
It will contribute better spreading and permeating.
7
Applications of Surface tension
Evaluation focusing to liquids
Ability of surfactant to decrease S.T.
Wettability, permeability between solid and
liquid
Permeation to clearance, fibers
Ink, surfactant
Coating
Characterization of liquids
Ink, surfactant
Emulsification
Dressing, mayonnaise, cosmetics
Quality control of detergent, guilt
Management of change cycle
Rolling up
Emulsifying
8
Kyowa’s  Surface/Interfacial  Tensiometers
DyneMaster series - Balance mechanical system
Available 3 types DY-700, DY-500, DY-300
Measuring method: Wilhelmy Plate method (standard)
du Noüy Ring method (option)
Other characterization: Dynamic contact angle, Lamella length
Powder contact angle, Liquid density
DropMaster series – Image analysis system
Available 4 types DM-701, DM-501, DM-CE2, DM-CE1
Measuring method: Pendant Drop method
Other characterization: Contact angle, Surface free energy
BP series - Dynamic surface tension measurement
Available 2 types BP-D5, BP-D5L
Measuring method: Maximum Bubble Pressure method
Other characterization: Decreasing slope by Rosen fitting
9
Principle of Wilhelmy Plate methods
A detecting plate is hanged on the balance and the plate bottom is
touched to the liquid surface .
Kyowa uses Platinum Plate as standard.
Surface tension of liquid works along the plate bottom and causes a
downward force.
The downward force detected by the balance is converted to
Surface tension.
The equation is given as below.
gSxLmgF cos
buoyancy
mg: gravity worked on plate
L: plate peremeter
θ: C.A. (θ=0 is assumed generally.)
10
Principle of du Noüy Ring methods
A detecting platinum ring is hanged on the balance and the ring
bottom is touched to the liquid surface .
Same system can be used for Plate and Ring in common.
Surface tension of liquid does not work along the ring bottom at this
condition. Then, let the liquid surface down to detach it from the ring.
The peak downward force detected by the balance before detaching
the ring from the liquid surface is converted to Surface tension.
The equation is given as below.
k
R
F
4
Correction factor
Liquid
Ring
Liquid is pulled down until detached
from the ring and the force increases.
11
Principle of Pendant Drop methods
A liquid is pushed our from the tip of needle toward the vertical
direction.  The  hanging  drop  on  the  needle  tip  is  called  “Pendant  Drop”.  
The pendant drop shape is determined by the factors: droplet volume,
density, surface tension.
This method analyzes the shape to compute out the surface tension.
The following two methods are in general:
ds/de method:
Measures maximum diameter de of the drop and
diameter ds where has de risen from the lowest end.
Young-Laplace method:
Fits a curve of Young-Laplace equation on the
drop profile. (Equation omitted.)
: density difference
g: gravitational acceleration
1/H: correction coefficient
determined by de/de
H
gde
12
12
Surface tension of water
The following is an example of surface tension measurement of water.
Surface tension is specific physical property of each material but the
accuracy is varied a little bit depended on measuring methods.
Measuring method Nos. Average S.D. Min. Max. range
Wilhelmy plate 5 73.24 0.13 73.1 73.4 0.3
Pendant drop
(Young-Laplace fitting)
5 73.00 0.48 72.3 73.6 1.3
Pendant drop
(ds/de method)
5 73.16 1.36 71.2 74.4 3.2
Sample: water (value in literature 72.8 mN/m at 20 C)
Room temperature: 19 - 21 C
13
35
45
55
65
75
0 50 100 150
液温度 [℃]
表面張力[mN/m]
0.00
0.05
0.10
0.15
0.20
0.25
72.0 72.5 73.0 73.5 74.0
20℃換算の水表面張力 [mN/m]
確率Accuracy of pure water by Wilhelmy
0.000.050.100.150.200.2572.072.573.073.574.020℃換算の水表面張力
[mN/m]確率
σ=0.2mN/m normal distribution
Water has a temperature slope “-0.15[mN/m]/[ C]” around
ambient temp.
Optimized method for managing water surface tension.
Pure water
Methylene iodide
Provability
Surfacetension(mN/m)
Liquid temp ( C)
Water surface tension corrected at 20 C (mN/m)
14
Pendant Drop method
Surface tension is figured out from the shape of pendant which is
characterized  by  γ/ρ.
Density is multiplied to the surface tension value figured out.
With the optional heating chamber, surface tension measurement of molten
polymers and solders are possible. But the surface should be shaped by itself.
63.4±0.1 mN/m22.0±0.1 mN/m
Ethanol Glycerol
50.5±0.4 mN/m
Water/Hexane
(22.3 mN/m) (63.4 mN/m) (51.0 mN/m)
Hexane
water
The data shown in case arc are from literatures.
15
Surface tension of Surfactant
Surfactants have characteristics to change surface tension over time and
the curves vary depended on surfactant concentration.
Surfactants have a point of critical concentration that surface tension does
not  get  lower.  That  point  is  called  “CMC”  (Critical  Micelle  Concentration).
In the lower concentration than CMC, the surface tension will change until
equilibration.
A B C
C
A
B
CMC
equilibration
γ
< <
?
Surfacetension
Surfacetension
log (concentration)
Time
16
Dynamic surface tension & its necessity
In the most fields of R&D or QC purposes, measurements of
equilibrated surface tension are done. Static status
But the most liquids are actually used under circulating or being
stirred. Dynamic status
In that condition, the concentration distribution and the
absorbing amount to surface of surfactant should be uneven
and not appear equilibrated conditions. These may cause
troubles.
Study of dynamic surface
tension is important to select
proper adding agents and the
quantity.
17
Measurements of CMC of surfactants
The below charts are the plotting of CMC (Critical Micelle Concentration)
by three different methods: Wilhelmy Plate, du Noüy Ring, Pendant Drop
Cationic surfactant causes problem of wetting to the Wilhelmy plate, which
causes inaccurate results.
20
40
60
80
1 10 100 1000 10000
濃度 [0.001mM]表面張力[mN/m]
懸滴法
白金プレート
白金リング
20
40
60
80
1 10 100
濃度 [mM]
表面張力[mN/m]
白金プレート
白金リング
懸滴法
20
40
60
80
1 10 100
濃度 [mM]
表面張力[mN/m]
白金リング
白金プレート
懸滴法
SDS (anionic) DTAB (cationic) Triton X100 (nonionic)
Surfacetension(mN/m)
Concentration (mM) Concentration (mM) Concentration (mM)
Pt plate
Pt ring
PD
Pt plate
Pt ring
PD
Pt plate
Pt ring
PD
18
1. When pressurized air is flown constantly through the probe, the
pressure inside the probe changes periodically. (1) – (2)
2. When the curvature radius of bubble R equals to the radius of capillary
tip r, the pressure should reach maximum. (3)
3. After that, the pressure drops rapidly by expansion of the bubble. (4)
4. The Maximum Bubble Pressure technique is a method for determining
the surface tension form the maximum pressure.
Principle of Maximum Bubble Pressure method (1)
19
1. The cycle (1) - (3) of previous slide refers to the life time (life time of
bubbles), from the time that the new interface has been generated in
the probe tip until the maxim bubble pressure is reached.
2. Surfactant absorbed during the lifetime will determine the surface
tension.
3. Data chart as in the below
is obtained.
Principle of Maximum Bubble Pressure method (2)
Life time [ms]
Surfacetension
10 100 100001000
static rangeDynamic range
A
B
20
Ability of surfactant lowering surface tension
(held on http://www00.wipenetworks.com/dks/j/pdf_products/542_1.pdf)
Bubble pressure, 0.1% solution, 25 C
Life time (ms)
Surfacetension
lauryl alcohol-7E0
Secondary alcohol-9E0
noigenTDS-80
noigenXL-80
Ability lowering
surface tension
noigenTDX-80
21
Data examples of dynamic surface tension
Dynamic surface tension of 4 concentration level of SDS solution.
Ability of lowering surface tension does not progress in the range of
concentration more than 0.5wt% Dynamic CMC?
22
Remarks for measuring surface tension
Surface tension value is very sensitive to contamination. Take care
throughout the measurement processes not to touch or contaminate
the sample.
Contamination on measuring tools are also effective to the data. Take
care as well not to use contaminated tools like sample container , lab
dish, measuring unit (plate or ring), needle, probe, etc. Remained
detergent may be also effective much.
Surface tension has temperature dependency. Generally, the higher
temperature is, the lower surface tension is. Data should be always
reported with temperature, and controlling temperature of liquid surface
is recommendable.
Every Kyowa’s surface/interfacial tensiometer requires periodical
calibration and has functions enable to do calibration by users
themselves.
23
Thank you for
your company

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Fundamental of surface tension

  • 1. Fundamental of Surface Tension Kyowa Interface Science Co., Ltd.
  • 2. 2 Interfacial phenomena familiar with our life Natural phenomena Barberpoles swim on water surface. Dews remains on lotus leaves. Windows are clouded over with condensation. Hairs are bound with moisture. Plants drink up water from the soil. Life environment Detergents clean dishes and clothes. Waxes on flooring materials to protect from soils Ink-jet printers print. Water/oil-repellent pan enables non-stick baking. Hydrophilic finishing avoids condensation on windows. Adhesive agents attach two objects. Cosmetics are worn on skins Cleaning up by water
  • 3. 3 Surface tension Well, why water does not overflow? A reason is that water has force to round of itself and remains at the border of cup by shaping an arch. The force to round of itself (to reduce area of surface) is Surface Tension. Unit of surface tension is “mN/m” now. Once “dyne/cm” was being used and the scale of those units are same. When filling a cup with water, water does not overflow even if its surface exceeds the level of cup border a little.
  • 4. 4 One Yen coin floats on water Why Japanese one Yen can float on water? Why the coin sinks when detergent is added?
  • 5. 5 Essentiality of Surface tension It originates in Intermolecular forces between molecules. In the bulk, Intermolecular forces work every direction and keep balance. On the surface, the balance is off and molecules exposed in the surface are pulled inside. The surface molecules demand others for interaction and surplus energies generates there, which is Surface Tension. Surface tension is peculiar physical property of each material has. surface bulk
  • 6. 6 Surface tension and Wettability If the surface tension of a target liquid is large… ↓ Force to make the liquid round of itself will be strong. ↓ The liquid will be apt to be repelled by solid surfaces. ↓ Contact angle results larger. Wetting becomes worse. If the surface tension of a target liquid is small… ↓ The liquid will allow to wet over the solid surfaces. ↓ Contact angle results smaller. Wetting becomes better. ↓ It will contribute better spreading and permeating.
  • 7. 7 Applications of Surface tension Evaluation focusing to liquids Ability of surfactant to decrease S.T. Wettability, permeability between solid and liquid Permeation to clearance, fibers Ink, surfactant Coating Characterization of liquids Ink, surfactant Emulsification Dressing, mayonnaise, cosmetics Quality control of detergent, guilt Management of change cycle Rolling up Emulsifying
  • 8. 8 Kyowa’s  Surface/Interfacial  Tensiometers DyneMaster series - Balance mechanical system Available 3 types DY-700, DY-500, DY-300 Measuring method: Wilhelmy Plate method (standard) du Noüy Ring method (option) Other characterization: Dynamic contact angle, Lamella length Powder contact angle, Liquid density DropMaster series – Image analysis system Available 4 types DM-701, DM-501, DM-CE2, DM-CE1 Measuring method: Pendant Drop method Other characterization: Contact angle, Surface free energy BP series - Dynamic surface tension measurement Available 2 types BP-D5, BP-D5L Measuring method: Maximum Bubble Pressure method Other characterization: Decreasing slope by Rosen fitting
  • 9. 9 Principle of Wilhelmy Plate methods A detecting plate is hanged on the balance and the plate bottom is touched to the liquid surface . Kyowa uses Platinum Plate as standard. Surface tension of liquid works along the plate bottom and causes a downward force. The downward force detected by the balance is converted to Surface tension. The equation is given as below. gSxLmgF cos buoyancy mg: gravity worked on plate L: plate peremeter θ: C.A. (θ=0 is assumed generally.)
  • 10. 10 Principle of du Noüy Ring methods A detecting platinum ring is hanged on the balance and the ring bottom is touched to the liquid surface . Same system can be used for Plate and Ring in common. Surface tension of liquid does not work along the ring bottom at this condition. Then, let the liquid surface down to detach it from the ring. The peak downward force detected by the balance before detaching the ring from the liquid surface is converted to Surface tension. The equation is given as below. k R F 4 Correction factor Liquid Ring Liquid is pulled down until detached from the ring and the force increases.
  • 11. 11 Principle of Pendant Drop methods A liquid is pushed our from the tip of needle toward the vertical direction.  The  hanging  drop  on  the  needle  tip  is  called  “Pendant  Drop”.   The pendant drop shape is determined by the factors: droplet volume, density, surface tension. This method analyzes the shape to compute out the surface tension. The following two methods are in general: ds/de method: Measures maximum diameter de of the drop and diameter ds where has de risen from the lowest end. Young-Laplace method: Fits a curve of Young-Laplace equation on the drop profile. (Equation omitted.) : density difference g: gravitational acceleration 1/H: correction coefficient determined by de/de H gde 12
  • 12. 12 Surface tension of water The following is an example of surface tension measurement of water. Surface tension is specific physical property of each material but the accuracy is varied a little bit depended on measuring methods. Measuring method Nos. Average S.D. Min. Max. range Wilhelmy plate 5 73.24 0.13 73.1 73.4 0.3 Pendant drop (Young-Laplace fitting) 5 73.00 0.48 72.3 73.6 1.3 Pendant drop (ds/de method) 5 73.16 1.36 71.2 74.4 3.2 Sample: water (value in literature 72.8 mN/m at 20 C) Room temperature: 19 - 21 C
  • 13. 13 35 45 55 65 75 0 50 100 150 液温度 [℃] 表面張力[mN/m] 0.00 0.05 0.10 0.15 0.20 0.25 72.0 72.5 73.0 73.5 74.0 20℃換算の水表面張力 [mN/m] 確率Accuracy of pure water by Wilhelmy 0.000.050.100.150.200.2572.072.573.073.574.020℃換算の水表面張力 [mN/m]確率 σ=0.2mN/m normal distribution Water has a temperature slope “-0.15[mN/m]/[ C]” around ambient temp. Optimized method for managing water surface tension. Pure water Methylene iodide Provability Surfacetension(mN/m) Liquid temp ( C) Water surface tension corrected at 20 C (mN/m)
  • 14. 14 Pendant Drop method Surface tension is figured out from the shape of pendant which is characterized  by  γ/ρ. Density is multiplied to the surface tension value figured out. With the optional heating chamber, surface tension measurement of molten polymers and solders are possible. But the surface should be shaped by itself. 63.4±0.1 mN/m22.0±0.1 mN/m Ethanol Glycerol 50.5±0.4 mN/m Water/Hexane (22.3 mN/m) (63.4 mN/m) (51.0 mN/m) Hexane water The data shown in case arc are from literatures.
  • 15. 15 Surface tension of Surfactant Surfactants have characteristics to change surface tension over time and the curves vary depended on surfactant concentration. Surfactants have a point of critical concentration that surface tension does not  get  lower.  That  point  is  called  “CMC”  (Critical  Micelle  Concentration). In the lower concentration than CMC, the surface tension will change until equilibration. A B C C A B CMC equilibration γ < < ? Surfacetension Surfacetension log (concentration) Time
  • 16. 16 Dynamic surface tension & its necessity In the most fields of R&D or QC purposes, measurements of equilibrated surface tension are done. Static status But the most liquids are actually used under circulating or being stirred. Dynamic status In that condition, the concentration distribution and the absorbing amount to surface of surfactant should be uneven and not appear equilibrated conditions. These may cause troubles. Study of dynamic surface tension is important to select proper adding agents and the quantity.
  • 17. 17 Measurements of CMC of surfactants The below charts are the plotting of CMC (Critical Micelle Concentration) by three different methods: Wilhelmy Plate, du Noüy Ring, Pendant Drop Cationic surfactant causes problem of wetting to the Wilhelmy plate, which causes inaccurate results. 20 40 60 80 1 10 100 1000 10000 濃度 [0.001mM]表面張力[mN/m] 懸滴法 白金プレート 白金リング 20 40 60 80 1 10 100 濃度 [mM] 表面張力[mN/m] 白金プレート 白金リング 懸滴法 20 40 60 80 1 10 100 濃度 [mM] 表面張力[mN/m] 白金リング 白金プレート 懸滴法 SDS (anionic) DTAB (cationic) Triton X100 (nonionic) Surfacetension(mN/m) Concentration (mM) Concentration (mM) Concentration (mM) Pt plate Pt ring PD Pt plate Pt ring PD Pt plate Pt ring PD
  • 18. 18 1. When pressurized air is flown constantly through the probe, the pressure inside the probe changes periodically. (1) – (2) 2. When the curvature radius of bubble R equals to the radius of capillary tip r, the pressure should reach maximum. (3) 3. After that, the pressure drops rapidly by expansion of the bubble. (4) 4. The Maximum Bubble Pressure technique is a method for determining the surface tension form the maximum pressure. Principle of Maximum Bubble Pressure method (1)
  • 19. 19 1. The cycle (1) - (3) of previous slide refers to the life time (life time of bubbles), from the time that the new interface has been generated in the probe tip until the maxim bubble pressure is reached. 2. Surfactant absorbed during the lifetime will determine the surface tension. 3. Data chart as in the below is obtained. Principle of Maximum Bubble Pressure method (2) Life time [ms] Surfacetension 10 100 100001000 static rangeDynamic range A B
  • 20. 20 Ability of surfactant lowering surface tension (held on http://www00.wipenetworks.com/dks/j/pdf_products/542_1.pdf) Bubble pressure, 0.1% solution, 25 C Life time (ms) Surfacetension lauryl alcohol-7E0 Secondary alcohol-9E0 noigenTDS-80 noigenXL-80 Ability lowering surface tension noigenTDX-80
  • 21. 21 Data examples of dynamic surface tension Dynamic surface tension of 4 concentration level of SDS solution. Ability of lowering surface tension does not progress in the range of concentration more than 0.5wt% Dynamic CMC?
  • 22. 22 Remarks for measuring surface tension Surface tension value is very sensitive to contamination. Take care throughout the measurement processes not to touch or contaminate the sample. Contamination on measuring tools are also effective to the data. Take care as well not to use contaminated tools like sample container , lab dish, measuring unit (plate or ring), needle, probe, etc. Remained detergent may be also effective much. Surface tension has temperature dependency. Generally, the higher temperature is, the lower surface tension is. Data should be always reported with temperature, and controlling temperature of liquid surface is recommendable. Every Kyowa’s surface/interfacial tensiometer requires periodical calibration and has functions enable to do calibration by users themselves.