Ultra-Small-Angle X-ray
Scattering
Victor Stepanov1,
Trevor M. Willey2 and Jan Ilavsky3
1US Army, RDECOM-ARDEC, Munitions
Engineering Technology Center
Picatinny Arsenal, NJ 07806, USA
2Lawrence
Livermore National Laboratory, 7000 East Avenue, Livermore, CA 94550, USA
3Advanced
Photon Source, Argonne National Laboratory, Argonne, IL 60439, USA
Introduction
The structure of voids within novel
cyclotrimethylene trinitramine (RDX)-based nanocomposites was investigated. Voids
are an important structural element due to their strong influence on properties
such as sensitivity and performance. In order to probe the “sealed” voids,
synchrotron-based Ultra-Small-Angle X-ray Scattering (USAXS) with Bonse-Hart configuration
was employed. This powerful technique enabled probing voids with sizes ranging
from ca. 1 nm to 3 mm with statistically meaningful
sample sizes. Scattering data on three compositions with varying RDX crystal
size, including 200 nm, 500 nm, and 2 mm, was measured.
Modeling of the scattering intensity profiles revealed bimodal, log-normal void
size distributions for all samples. The mean void size was found to increase
with the RDX crystal size and was found to be of similar dimensions to RDX
crystals.
In
this work, Ultra-Small-Angle X-ray Scattering (USAXS) was employed to
characterize the voids within cyclotrimethylene trinitramine (RDX)-based nanocomposites.
Nanostructured explosive compositions are gaining interest in regard to
lowering the initiation sensitivity and improving performance. Recent work with
nano-RDX-based compositions revealed that the shock and impact sensitivities
were significantly lower compared to compositions with micron- scale HE
crystals [Stepanov, Qiu]. Moreover, an important attribute of such nanocomposites
was low shock sensitivity even at high porosities, ca. 10 %. It is expected
that such behavior is a consequence of a very small mean voids size and the
absence of large voids. Characterization of voids in these compositions is
critical in explaining the observed behavior.
Compositions
with 88 wt. % RDX and 12 wt. % binder were prepared by slurry coating of 200
nm, 500 nm, and fluid energy milled (FEM) RDX specimens. Formulated RDX
specimens were pressed into nominally 5.08 mm x 0.8 mm pellets for USAXS
analysis. The materials were pressed at 110 MPa and room temperature.
Results
Experimental
data reduction and analysis were performed using the Indra[website] and Irena[Ilavsky
2009] codes respectively, which are subroutines created within IGOR Pro
software specifically for treating scattering data. Representative desmeared
scattering intensity profiles for the three compositions are shown in Figure 1.
Figure 1. USAXS intensity
as a function of for 200 nm, 500 nm, and FEM RDX-based
compositions. A reference line with a slope of -4 is included.
The
Maximum Entropy algorithm within the Irena package was used to evaluate the
void size distributions. This inversion method converges to a unique size distribution
for a given form factor by maximizing the configurational entropy of the
calculated size. Among the required input parameters were shape and aspect
ratio, range of diameters, and the scattering length density contrast. The
calculated void size distributions for the three specimens are shown in Figure 2.
All materials exhibit bimodal size distributions with log-normal peaks.
Figure 2.
Void size distributions of 200 nm, 500 nm, and FEM RDX-based compositions
calculated from USAXS data.
Based on the
calculated size distributions it can be concluded that the mean void size is
proportional to the crystal size.