Showing posts with label ATR. Show all posts
Showing posts with label ATR. Show all posts

Wednesday, September 9, 2009

ATR V: Depth Profiling Redux


This is the fifth in my intermittent installment series on Attenuated Total Reflectance (ATR), the sampling technique of choice for many FTIR samples. The second post in the series introduced an equation that determines the depth of penetration (DP) in the ATR experiment, a measure of how far the infrared beam penetrates into the sample. The most recent post in this series discussed how changing the refractive index of the ATR crystal can change the DP and allow spectra to be taken at different depths in samples non-destructively, which is called “Depth Profiling”. This blog post is subtitled “Depth Profiling Redux” because altering the angle of incidence of the infrared beam to the sample, called theta, can also alter DP. Examination of the DP equation shows that theta is in the denominator, so as theta goes up DP goes down. If we had some means of varying theta we could take spectra at different depths in a sample non-destructively i.e. perform depth profiling.

Fortunately, varying theta is not difficult. By adjusting the position of the mirror(s) involved in focusing the IR beam onto the ATR crystal, the angle of incidence of the beam at the sample can be adjusted. There exist ATR accessories where changing theta is simply a matter of moving one or more mirrors. The variable angle ATR accessory I use, the VeeMax from PIKE Technologies (details here: http://www.piketech.com/products/atr.html) allows theta to be adjusted by simply moving a knob up or down. This allows you to easily fine tune theta and hence easily fine tune the DP of your spectrum. This is, I feel, superior to adjusting the refractive index to change DP because in this case only certain fixed DPs are available to us depending upon the refractive indices of the ATR crystals mother nature provides us.

The attached figure shows the spectrum of a sample of polyethylene taken using 9 different angles of incidence varying between 42 and 70 degrees. Note how the peaks stack on top of each other; the absorbances are different sizes for the same sample because the DP for each spectrum is different. Adjusting theta to perform depth profiling will be useful for any sample where you would like to know how composition changes with depth. For example, this technique can be used on polymer laminates that consist of layers of different polymers. For example, a low DP scan can measure the spectrum of first layer. A high DP scan can measure the spectrum of the first and second layers. Subtracting this top layer spectrum from this spectrum will yield the spectrum of layer two non-destructively.

Thursday, February 26, 2009

ATR II : Depth of Penetration

The depth of penetration (DP) in an ATR experiment is a measure of how far the evanescent wave penetrates into a sample. Understanding the variables that determine DP tell us a lot about how the technique works, why ATR spectra look the way they do, and the sorts of interesting applications that can be pursued via ATR. The equation for depth of penetration in an ATR experiment is (the envelope please):

DP = 1/2πWnc(sin2θ – n2sc)1/2

(please pardon the appearance of the equation, it had a rough night...and blogger does not allow subscripts and superscripts. Red is for superscripts, blue is for subscripts.)

Where
DP = Depth of Penetration (in cm)
W = Wavenumber in cm-1
nc = Refractive index of ATR crystal
θ = Angle of incidence of IR beam with crystal surface
nsc = refractive index of sample divided by refractive index of crystal

Note that all the paramaters in the DP equation are in the denominator, so when any of them goes up, DP goes down. The next several blog posts will cover the different parameters in this equation and what they teach us about the ATR experiment.

Monday, February 9, 2009

FTIR Sample Preparation for the 21st Century: ATR




The holy trinity of FTIR sample analyses is speed, accuracy, and cost. Ideally an analysis will be carried out quickly, accurately, and as fast as possible. Sample preparation has long been the Achilles' heal of FTIR, too frequently involving long, tedious, manual operations. For example, even in the hands of a skilled analyst it can sometimes take over 1 hour to prepare a KBr pellet. This is unacceptable in a 21st century lab where time is money and speed is of the essence. Fortunately, there exists a sample preparation technique that is up to the challenge of giving us accurate, fast, and inexpensive analyses, it is called Attenuated Total Reflectance (ATR). This blog post will be the first in a series exploring how ATR works, what applications it is suited for, and why it is such an advantageous technique.

In the ATR technique the infrared beam is brought to a focus on the face of a prism-shaped crystal made of a material that is infrared transparent and has a high refractive index. Common examples of ATR crystals include diamond, Zinc Selenide (ZnSe), and Germanium. The infrared light is refracted by the crystal and travels towards the top surface of the crystal as illustrated above. The magic ocurrs when the infrared beam reaches the top surface of the crystal. Because of a phenonenon too complicated to explain, here a small portion of the infrared beam sticks up above the surface of the crystal. I call this region of space a "hot spot" but it is more properly called the "evanescent wave". Infrared spectra are obtained by bringing samples into contact with the evanescent wave so they can absorb some of the infrared radiation. More to follow...


For more on the topic of ATR you can consult my book Fundamentals of FTIR, available for purchase here: FTIR Books , or take my Hands-On FTIR Sample Preparation Course as outlined here: FTIR Sample Prep. Course Outline.