AFM/ESEM Lab
Two common techniques for observation of 2D surface
structure in polymer samples are atomic force microscopy (AFM) and
environmental scanning electron microscopy (SEM). AFM has
two main advantages over SEM, samples do not need to be coated and
there is no electron charge buildup on non-conducting
surfaces. AFM has the potential for much higher resolution
compared to SEM but is difficult to use as a screening technique
to find a region of interest. For polymers both techniques
are invasive in that there is some potential for sample
modification during analysis. We will use the ESEM
instrument which is an SEM with an elaborate vacuum system that
allows about 20 Torr of pressure of an arbitrary gas at the sample
position while maintaining high vacuum at the electron gun.
Different detectors are used in the ESEM. For polymers ESEM
is of importance due to the breakdown of polymers in the electron
beam leading to significant offgassing which can corrupt
conventional SEM and TEM instruments. Localized heating can
lead to melting of polymer crystals and other thermally induced
modifications of morphology.
Several samples will be imaged using the ESEM and AFM. The lab
highlights some applications of ESEM and AFM to scientific issues
in polymer science.
- Calculation of dispersion and correlation in phase separated
domains by calculation of the correlation function and the
particle size distribution.
- Observation and quantification of disorganized particulate
filler in polymers.
- Observation and description of polymer crystal structure
- Observation and description of fibrillation in
semi-crystalline polymers.
- Observation and description of mass fractal structure in two
common polymer additives, organic pigments and inorganic filler
aggregates.
Please read the linked web pages for more detailed information on
these instruments.
Experimental:
The following samples will be prepared prior to lab, a Jimble
will assist you in obtaining images from these samples.
Samples: (Other samples may be substituted)
- HIPS Phase Separated Domains
- PE, PP, PHB Crystals
- Fiber PP from mechanical testing
- Organic Pigment, Fractal Structure
- Titania, Fractal Structure
Analysis
- Phase separated domains: Measure the diameter, aspect ratio of
a number of rubber domains in HIPS. Also measure the size of a
number of inclusions within the rubber domains. Calculate the
mean and standard deviation for these two structures. Plot a
particle size distribution curve for both of these structures. (Link
to Needle Throwing Method for Pairwise Correlation Function)
- Measure the average fiber diameter and standard deviation for
fibrils in the PP fibers.
- Measure the mean primary particle size, mean aspect ratios and
standard deviations for the organic pigment and the titania
samples.
- Measure the mean aggregate size and standard deviation.
- Estimate the mass fractal dimension, df, for both
of these samples. (M ~ Rdf, M is mass of the
aggregate and R is the aggregate size. Here M ~ N where N
is the number of primary particles and R ~ R/dpp
where dpp is the size of a primary particle, so df
= ln(M)/ln(R/dpp)).
- For several images use ImageJ shareware to determine the
autocorrelation function p(r) using an ImageJ plugin available
from their web page.
p(r) = 1 -S/(4V) + ... for very small r near 0. You need
to scale your image in ImageJ to the micron scale bar.
Determine the Sauter mean diameter from S/V, dp = V/(6S).
- Describe other features of p(r). If there are peaks in
p(r) explain what feature in the micrograph corresponds to the
peaks.
- Use ImageJ to determine the average particle size using thresh
holding in several micrographs.
Questions
- Comment on the problems you encountered in quantifying sizes
from micrographs. Especially consider the usefulness of 2d
depictions to describe 3d structure.
- Are the domains (particles) you observed randomly distributed?
Give support from your data and analysis using the correlation
function.
- Describe the differences between the mass fractal structures
observed.
- Do the mass fractal structures reflect reaction or transport
limited growth? Give a possible aggregate growth mechanism for
both systems and support it with your data. (web
link for this question.)