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Ceramic Technology and Processing, King

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Ceramic Property Measurements 403

Figure 11.15: Contrast By Index of Refraction. A modest difference between the index of the powder and the liquid is needed to see the particles. Transmitted light slide. Scale bar 100 μm.

404 Ceramic Technology and Processing

The picture on the bottom is in a liquid of 1.610 refractive index. Alumina has an index of about 1.76. Due to this large difference, the particles are readily visible. The picture on the top is in an index of 1.76. Although the concentration of particles is about the same, they are almost invisible. Therefore, a ruby in a glass of this index liquid has virtually no contrast. However, the ruby is red and the jewel thief finds himself once again in the slammer. Color is another way to discern the differences between phases.

It is very easy to take a quick look at a ceramic powder on a slide and discern between phases by index, shape, size, or color. With two phases present, when the mixture in an index liquid matches one phase, the other is visible by itself due to contrast. The technique has ppm sensitivity and is easy to do.

Astrophysicists are engaged in a conspiracy against petrographers with their claim that the speed of light is a universal constant, in all directions and regardless of the motion of the light source. What they choose to hide is that the speed of light depends upon the index of refraction of the medium through which it is passing. High index equals low speed. And, the speed of light is not the same in all directions through anisotropic crystals. Those include the multitude of all crystals except cubic. Differences in light speed in the crystal throw the light out-of-phase in polarized light with interference. This is called birefringence and is visible in a powder or thin section when the polaroids are crossed. Figure 11.16 is of two powders where one has a much higher birefringence than the other. This causes it to appear much brighter in the field of view.

The bright particles are zircon where the index in one crystal direction is around 1.923 and in the other 1.968, with a difference of 0.045. The other phase is alpha alumina (corundum) where the indices are 1.767 and 1.759, with a difference of 0.008. Zircon is said to have a high birefringence while alumina is said to have a low birefringence. Zircon is easily spotted in the slide because it is much brighter in polarized light than alumina. The test between two materials of different birefringence is very sensitive, and can easily be in the ppm range just with a glance.

When the index of refraction of the liquid is close to that of the powder, the particles disappear unless they are colored or contain porosity. That is a good way to determine the index of the ceramic, which is one of its diagnostic criteria. Alumina and mullite have an index of refraction of about

Ceramic Property Measurements 405

1.74 to 1.76. For good visualization, the index of the liquid should be about 1.6 to provide some contrast. When the indices are far apart, the contrast will be so high as to render the particles almost opaque. It is advisable to use a liquid with an index closer to that of the ceramic. Always use a cover glass to prevent damage to the objective lens.

Figure 11.16: Contrast by Birefringence. When two or more materials are present, the birefringence can distinguish between them. Transmitted light slide. Scale bar 100 μm.

Check List, Particle Size

Characteristics of the distribution curve

Light diffraction

Ultrasonic dispersion

Stirring

Prevalent technique

Fast

406 Ceramic Technology and Processing

• SEM

Particle shape Foreign materials Stub preparation

Magnification, 20,000X ± max. Particle count labor intensive

• TEM

Great detail Labor intensive 200,000X ± max.

Particle count labor intensive

• Optical Microscope Slide preparation Particle shape Optical properties

Particle count can be labor intensive 1000X, max.

Density Measurements

The density or specific gravity of a sample is an essential measurement. The two cases of permeable and impervious materials are discussed below.

Permeable Materials

Measurement can be performed in two ways. The surface can be sealed and the specific gravity determined. Or, the sample can be saturated with water with the bulk density and apparent porosity measured.

Ceramic Property Measurements 407

Sealing the surface. Perform the following steps:

dry the sample and cool,

weigh,

attach a thin suspending wire or cord that can be weighed,

quickly dip in liquid paraffin just hot enough to be fluid, and

weigh suspended in water. Brush off bubbles.

Using the specific gravity of the paraffin and the layered amount, one can correct the buoyancy and determine the apparent specific gravity of the sample. The wax should not penetrate the pores. This is why one uses a temperature where the paraffin is close to the melting point so that it will freeze quickly. This is also why the dip is quick so that the sample does not have time to heat up.

Saturating the sample with water. The ASTM method involves boiling in water to fill the open pores with water. There is a better way. Figure 11.17 is a chamber for evacuating the air from the open pores in the sample, covering with water, and then applying pressure to force the water into the pores.

Figure 11.17: Vacuum/Pressure for Saturation. The apparatus is used to infiltrate the open porosity with a liquid.

408 Ceramic Technology and Processing

The procedure is as follows.

Clean, dry, cool, and weigh the sample.

Place the sample in a beaker that is then put into the vacuum deairing apparatus, close it, and a draw a vacuum.

Water with a drop of a wetting agent then enters the beaker through the valve on the top of the lid. Use enough water to cover the sample. The water will splatter in the vacuum due to air bubbles, so a tube, long enough to be below the beaker's rim, is attached to the bottom of the lid.

Either pressure is applied to the chamber or, if not required, air is admitted and the atmospheric pressure forces the water into the pores. Use additional pressure when the sample is difficult to infiltrate with atmospheric pressure alone.

The sample is now saturated. Blot the sample surface and weigh it.

Measurements are made using a balance shown in Figure 11.18.

Figure 11.18: Balance for Specific Gravity Measurement. The balance must have a means to connect the pan to the lower chamber.

Ceramic Property Measurements 409

Density Measurement. For small samples, the balance is a standard analytical balance with a way of connecting a sample holder to the weighing mechanism through the bottom of the balance. The sample holder screws into a connection to the balance pan. The balance is supported on a stand that has a transparent breeze shield and a door. The lab jack is used to raise and lower the sample holder, which, in this case, is a spiral of stainless wire basket with a connector for attachment. The procedure is as follows.

Attach the empty sample holder to the balance and submerge it in a beaker of water containing a drop of a wetting agent up to the mark on the connecting rod and tare the balance.

Disconnect the sample holder from the balance pan.

Then quickly place the sample on the submerging sample holder and place it in a beaker of water containing a drop of a wetting agent.

Tip or swish it to remove bubbles.

Raise the beaker with the labjack and connect the sample holder to the balance keeping the sample submerged.

Raise the beaker again to where the surface of the water is at the mark on the connecting rod.

Now weigh the submerged sample.

The following equations are used for the calculations.

 

Bulk Density = a / (b - c)

(11.1)

 

Apparent Porosity = (b - a) / (b - c)

(11.2)

 

Apparent Specific Gravity = a / (a -c )

(11.3)

Where:

 

a = dry weight

 

b

= saturated weight

 

c

= suspended weight

 

410 Ceramic Technology and Processing

Impervious Materials

Since there is no need for saturating the sample, those steps can all be eliminated. When unsure, the saturation procedure provides the answer when calculations are made.

The procedure is essentially the same, expect the infiltration steps are avoided. As these samples are often small, the procedure has some additional steps to impart more precision.

Handle the sample with tweezers after it has been cleaned.

Wait until the weight swing settles down before recording it.

Measure the temperature of the water and make a correction for the water density. Handbooks on chemistry have these tables.

Specific gravity is simply a / (a-c).

Mercury densitometers are available. Mercury is poisonous and must be handled with great care. The poison is cumulative over many years and has devastating effects on brain function. For these reasons, I do not recommend a mercury densitometer but instead advocate finding alternatives. For example, one can machine the part into a geometrical shape and weigh it.

Check List, Specific Gravity

Permeable Materials Paraffin procedure Saturation apparatus Saturation procedure

Use of vacuum/pressure Measurement procedure Calculations.

Impervious Materials

Saturation is not necessary.

Measure the water temperature and correct for its specific gravity.

• Measuring Procedure

Ceramic Property Measurements 411

3.0 SLIP PROPERTIES

Some slip properties were discussed in Chapter IV on slip preparation. This section provides additional detail on viscosity measurements. Three types of viscometers are described.

Strain Rate Controlled Viscometers

This type of viscometer usually has a rotating element submerged in the slip where the speed of rotation is controlled and the viscosity or stress is measured. Viscometers measure viscosity. Rheometers measure strain rate and shear stress where a stress/strain curve can be obtained. The principle difference is in the software and peripherals. Figure 11.19 is a picture of a common viscometer.

The instrument is digital, with controls for selecting shear rate and rotor speed (which is related). The spindle type is selected to put the measurements on scale. Slip temperature is also measured.

As with most modern instruments, software, a computer, printer, and accessories are available. Accessories include a spiral adapter that can be used for pastes and thixotropic materials, a helipath stand that is even better for thixotropes, temperature controls, and means to prevent evaporation of the sample. Some data taken with an instrument is shown in Figure 11.20.

Measurements are first made by increasing the spindle rpm in increments and then decreasing it with the same settings. The data in the figure shows pronounced shear thinning where the up curve follows the relationship:

Log viscosity

=

- 0.886 log rpm + 4.1495

(11.4)

Correlation coefficient = - 0.9998

(11.5)

The down curve follows the relationship:

 

Log viscosity

=

0.895 log rpm + 4.17

(11.6)

412 Ceramic Technology and Processing

Correlation coefficient = + 0.99995

(11.7)

This very high correlation coefficient indicates an almost perfect correlation. Data this precise instills confidence.

Figure 11.19: Viscometer, Strain Controlled. Rotor speed is varied and the stress measured. (Courtesy of Brookfield)