The Gandolfi Stage: A Novel Approach for the Analysis of Single Crystals and Small Volume Samples

Gregory Schmidt
[Gandolfi Stage]
Gandolfi Stage (with crystal) assembly mounted on the diffractometer.

Introduction

Accurate analysis of single crystals and/or small clusters of crystals requires the use of a single-crystal diffractometer. Conventional powder X-ray diffraction (XRD) systems are extremely limited in their capabilities for such samples. Capillary spinners are capable of accommodating such samples, but cannot accurately provide diffraction from more than a few hkl planes due to the single rotation axis. Other methods for analyzing small volumes on conventional laboratory systems require the grinding of the sample; but many samples, such as rare minerals, gemstones and newly developed materials consisting of only a few crystals, are not conducive to such alterations.

The Gandolfi Stage, developed for use in conventional powder diffractometers, enables the analysis of single-crystal or small-volume samples without the need of a dedicated single-crystal diffractometer. The stage effectively turns the diffractometer into a three-circle system, allowing for the fast analysis of samples previously unsuitable for conventional XRD systems. Combined with proper software applications, the Gandolfi Stage allows for a variety of analyses from phase identification to structure solution.  

Instrument

System

The Thermo Scientific ARL EQUINOX 5000 system utilizes a unique tall vertical goniometer. Samples can be analyzed in either θ/θ or θ/2θ geometries. Its features include a large choice of X-ray sources and higher resolution detectors. The large sample compartment accommodates a large array of sample sizes and sample handling devices such as large assemblies, auto samplers and furnaces. Software capabilities allow expansive analysis capabilities including crystal structure analysis, qualitative analysis, degree-of-crystallinity determination, phase identification and quantification, uniaxial stress, phase transition on various environments and thin-film analysis.  

The ARL EQUINOX 5000 provides faster data collection when compared with other diffractometers due to its unique curved position-sensitive (CPS) detector that measures all diffraction peaks simultaneously and in real time. It is therefore well suited for both reflection and transmission measurements.    

[FEBS lab]Figure 1: ARL EQUINOX 5000 X-ray diffractometer.

Stage

The stage consists of two motors and a goniometer head with a standard brass pin, which is used along with glass fibers to mount the crystal(s) (Fig. 2). Alignment is performed using the USB camera, connected to the controlling computer, and associated software on the stage holder (Fig. 3). The stage is then transferred to the diffractometer; a collimator and beam stop are added to the slit assembly to provide a more accurate analysis (Fig. 4). Then the stage is rotated during data collection to maximize the redundancy of hkls collected.

[FEBS lab]Figure 2: Gandolfi Stage on centering station.
[FEBS lab]Figure 3: Crystal-centering software showing mounted crystal.
[FEBS lab]Figure 4: Gandolfi Stage (with crystal) assembly mounted on the diffractometer.

Experimental

Two different experiments were carried out. The first was a non-destructive phase determination of an unknown gemstone using MDI JADE 2010. The second experiment is the structure solution of a single crystal of acetaminophen recrystallized from IPA using GSAS-II (Toby & Von Dreele, 2013). In each case, the crystal was mounted on a glass fiber (Fig. 5) centered and placed in the instrument. Data was collected for 5 minutes and 1 hour under Cu Kα radiation at 30 kV, 40 mA using a CPS 120 detector.     

[FEBS lab]Figure 5: Gemstone (left) and Acetaminophen crystal (right) mounted on a glass fiber.

Results

Gemstone

The collected intensities were imported into MDI JADE 2010 for phase identification, where they were analyzed in the range 17–104° 2θ. A search–match was performed using the American Mineralogist Crystal Structure Database (AMCSD) (Downs & Hall-Wallace, 2003), and the gemstone was identified as the mineral elbaite (Fig. 6). Elbaite is the most commonly used member of the tourmaline family in jewelry, ranging from dark purplish-red to colorless. After performing a whole pattern fitting Rietveld analysis, the fit had an R factor of 7.29 and a GooF value of 1.08 (Fig. 7). The skewed background is due, at least in part, to the large crystal size.

[FEBS lab]Figure 6: Unknown gemstone sample showing elbaite fit.
[FEBS lab]Figure 7: WPF report on unknown gemstone analysis using MDI JADE 2010.

Acetaminophen

Intensities were extracted from a 1 hour data set of acetaminophens (Fig. 8). The data were first imported into GSAS-II, where the ab initio structure solution was performed by applying a Pawley refinement followed by charge flipping methods to map peaks of the electron density over a range of 10–70° 2θ. The final parameters of the solution and Rietveld refinement (Fig. 9) resulted in Rw = 8.128 with a unit cell of a = 12.816(9), b = 9.3254(8), c = 7.0629(29) Å, β = 115.654(9)° and V = 760.93(22) Å3 in the space group P21/a. The solved structure and atomic parameters are shown in Fig. 10 and Table 1, respectively.     

[FEBS lab]Figure 8: One-hour acetaminophen raw data.
[FEBS lab]Figure 9: Final GSAS-II fit.
[FEBS lab]Figure 10: Final wireframe structure.

Table 1: Solved and refined atomic fractional coordinates

Atom
Xfrac
Yfrac
Zfrac
Uiso
C1
0.4294
0.3701
0.8347
0.025
C2
0.5101
0.3446
0.7307
0.113
C3
0.6089
0.2557
0.8481
0.067
C4
0.6225
0.162
0.9874
0.032
C5
0.561
0.1808
1.1188
0.026
C6
0.4727
0.2653
1.0121
0.072
C7
0.2862
0.4919
0.5828
0.079
C8
0.1675
0.579
0.5613
0.039
N1
0.3377
0.4517
0.7753
0.025
O1
0.728
0.0958
1.0675
0.066
O2
0.3078
0.5038
0.4415
0.088
H1
0.7057
-0.013
1.0771
0.079
H2
0.4957
0.4101
0.6108
0.135
H3
0.6631
0.2569
0.7817
0.08
H4
0.5754
0.1153
1.2387
0.032
H5
0.4185
0.2641
1.0784
0.087
H6
0.125
0.6091
0.4118
0.047
H7
0.1199
0.5212
0.6124
0.047
H8
0.1905
0.6605
0.662
0.047
H9
0.3068
0.4621
0.8815
0.03

Conclusions

The Gandolfi Stage, developed for use in conventional powder diffractometers, enables the analysis of single-crystal or small-volume samples without the need of a dedicated single-crystal diffractometer. Combined with the speed and resolution of the ARL EQUINOX 5000, it allows for the analysis of single crystals or small clusters from phase identification through ab initio structure solutions and expands the capability of a single system to include routine analyses of a variety of sample types and quantities.   

References

Downs, R.T. & Hall-Wallace, M. (2003). Am. Mineral. 88, 247–250.

Toby, B. H. & Von Dreele, R. B. (2013). J. Appl. Cryst. 46, 544–549. 

Acknowledgements

The author would like to express his thanks to Dr Henry Pilliere and Raphael Yerly for collecting the data on the provided samples used in this application note.

Gregory Schmidt is an XRD Applications Scientist at Thermo Fisher Scientific.
7 February 2019

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