Lubricating Oil Analysis by Benchtop WDXRF according to ASTM D6443-14

Application Note XRF1079

Introduction 

Lubricating oils are given specific functional properties by mixing additives with base oil. In order to assure consistent and desirable performance, it is very important to control the concentrations of the additives during the lubricant manufacturing process.

X-ray fluorescence (XRF) spectrometry has become increasingly popular for quantitative elemental analysis of base oils as well as additives and lubricant products due to its high precision and simple sample preparation. With liquids, sample preparation for XRF typically means simply pouring the sample into a plastic cell with a transparent film. Unlike other techniques, such as Inductively-Coupled Plasma Optical Emission Spectroscopy (ICP-OES), XRF does not require time-consuming processes such as chemical decomposition, digestion or serial dilution.

ASTM D6443-14 specifies the use of the wavelength dispersive (WD) XRF technique since it offers sufficiently high precision, resolution and light-element sensitivity to meet the industry’s needs.

Traditionally, WDXRF spectrometers have been large floor-standing models with substantial installation requirements and high replacement cost of faulty components. In its search for greater cost-efficiency, the lubricant industry is turning to tools that not only do the job, but are also easier and less costly to acquire, install and maintain.

This application note demonstrates the capability of low-cost, compact benchtop WDXRF spectrometer for quantitative elemental analysis of Ca, Cl, Cu, Mg, P, S and Zn in base oils, lubricating oils and additives according to ASTM D6443-14. 

Instrument 

The Supermini200 is a benchtop sequential WDXRF spectrometer designed specifically to deliver excellent performance while eliminating typical installation requirements such as cooling water, special power supply and large floor space.

Featuring a unique air-cooled 200 W X-ray tube, two detectors, programmable vacuum or helium atmosphere, and three analyzing crystals, the Supermini200 can analyze all relevant elements in just a few minutes with full spectral separation of all peaks and excellent sensitivity for light elements such as Mg, P and Cl.

The Windows®-based software used to operate the Supermini200 shares the same platform running Rigaku’s popular higher-power WDXRF ZSX family instruments. This means that it has the same advanced algorithms, multiple language support and an intuitive user-friendly interface that have made Rigaku the world’s leader in XRF instrumentation and industrial applications.

Standards and sample preparation 

Organometallic reference standard samples for lubricating oil provided by AccuStandard®, Inc. were used as calibration standards. 

Six grams of each sample was poured into a liquid cell (Chemplex® 1540) with 4.0 μm Prolene® (Chemplex® 416) as sample film. The cells are disposable and inexpensive.

Measurement Conditions 

All elements were measured in helium atmosphere, using standard crystals, with the X-ray tube operating at 50 kV and 4.0 mA. Peak and background intensities were counted for each element line, and the total counting time was less than nine minutes. 

Calibration 

In accordance with ASTM D6443-14, empirical matrix corrections were applied to all analytes except Mg. The calibration results are listed in Table 1, with the corresponding calibration curves shown in Figure 1. 

Table 1:  Calibration results for all elements

Element Calibration range (mass%) Accuracy (mass%) LLD (ppm)
Ca 0 – 0.50 0.0021 1.9
Cl 0 – 0.15 0.0005 0.8
Cu 0 – 0.05 0.0006 1.1
Mg 0 – 0.20 0.0044 20
P 0 – 0.15 0.0004 1.0
S 0 – 0.75 0.0032 0.9
Zn 0 – 0.15 0.0020 1.0

XRF1079 Figure 1 Calibration curve with matrix correction for lubricating oil

Figure 1: Calibration curve with matrix correction for lubricating oil 


The calibration accuracies were calculated by the following formula:

$Accuracy = \sqrt{ \frac{\sum_i{(C_i-\hat{C}_i)^2}}{n-2} }$

$C_i$: calculated value of standard sample
$\hat{C}_i$: reference value of standard sample
n : number of standard samples. 

The lower limits of detection (LLD) were calculated as follows:

$LLD = 3 \cdot \frac{1}{m} \cdot \sigma_B = \frac{3}{m} \cdot \sqrt{\frac{I_B}{1000 \cdot t}}$

$m$  : sensitivity of calibration (kcps/mass%) 
$\sigma_B$  : standard deviation of blank intensity (kcps) 
$I_B$  : blank intensity (kcps) 
$t$  : counting time (s) 

Analysis results 

To confirm that the spectrometer’s repeatability performance is compliant with the requirement of the method, two aliquots of a representative sample were prepared and quantified. This process was repeated twenty times.

Table 2:  Repeatability test results 

  Ca Cl Cu Mg
  Avg. Diff. Avg. Diff. Avg. Diff. Avg. Diff.
1 0.0102 0.0001 0.0107 0.0000 0.0118 0.0002 0.0332 0.0020
2 0.0102 0.0001 0.0106 0.0002 0.0118 0.0001 0.0324 0.0004
3 0.0102 0.0000 0.0106 0.0001 0.0119 0.0001 0.0326 0.0000
4 0.0103 0.0001 0.0106 0.0000 0.0118 0.0002 0.0340 0.0027
5 0.0103 0.0001 0.0105 0.0002 0.0117 0.0000 0.0351 0.0005
6 0.0102 0.0000 0.0105 0.0002 0.0118 0.0002 0.0332 0.0033
7 0.0103 0.0002 0.0107 0.0001 0.0120 0.0001 0.0337 0.0044
8 0.0104 0.0001 0.0107 0.0000 0.0118 0.0004 0.0340 0.0039
9 0.0103 0.0001 0.0107 0.0000 0.0117 0.0001 0.0342 0.0043
10 0.0102 0.0001 0.0107 0.0001 0.0118 0.0001 0.0338 0.0050
11 0.0103 0.0003 0.0106 0.0001 0.0119 0.0002 0.0331 0.0035
12 0.0105 0.0001 0.0106 0.0001 0.0120 0.0000 0.0353 0.0009
13 0.0104 0.0002 0.0106 0.0001 0.0119 0.0002 0.0341 0.0032
14 0.0102 0.0003 0.0106 0.0001 0.0118 0.0001 0.0338 0.0025
15 0.0102 0.0003 0.0106 0.0001 0.0117 0.0000 0.0342 0.0016
16 0.0103 0.0000 0.0105 0.0000 0.0118 0.0001 0.0338 0.0008
17 0.0104 0.0002 0.0106 0.0001 0.0118 0.0000 0.0340 0.0005
18 0.0104 0.0002 0.0105 0.0003 0.0118 0.0001 0.0333 0.0009
19 0.0102 0.0002 0.0104 0.0001 0.0118 0.0002 0.0338 0.0019
20 0.0100 0.0003 0.0105 0.0001 0.0118 0.0002 0.0339 0.0016
Max   0.0003   0.0003   0.0004   0.0050
r   0.0007   0.0007   0.0004   0.0053
  P S Zn  
  Avg. Diff. Avg. Diff. Avg. Diff.    
1 0.0100 0.0001 0.0474 0.0003 0.0113 0.0000    
2 0.0100 0.0001 0.0476 0.0001 0.0114 0.0001    
3 0.0100 0.0001 0.0477 0.0002 0.0115 0.0001    
4 0.0100 0.0000 0.0476 0.0005 0.0114 0.0002    
5 0.0101 0.0001 0.0474 0.0002 0.0113 0.0001    
6 0.0100 0.0003 0.0477 0.0003 0.0114 0.0003    
7 0.0098 0.0000 0.0478 0.0000 0.0115 0.0001    
8 0.0100 0.0003 0.0476 0.0005 0.0114 0.0001    
9 0.0102 0.0002 0.0477 0.0007 0.0113 0.0000    
10 0.0102 0.0003 0.0479 0.0002 0.0113 0.0000    
11 0.0101 0.0001 0.0479 0.0001 0.0114 0.0002    
12 0.0102 0.0001 0.0478 0.0002 0.0115 0.0000    
13 0.0101 0.0002 0.0477 0.0001 0.0115 0.0000    
14 0.0100 0.0000 0.0478 0.0003 0.0115 0.0000    
15 0.0099 0.0002 0.0477 0.0004 0.0116 0.0001    
16 0.0099 0.0002 0.0474 0.0003 0.0115 0.0002    
17 0.0100 0.0001 0.0474 0.0003 0.0114 0.0001    
18 0.0101 0.0003 0.0474 0.0002 0.0114 0.0001    
19 0.0100 0.0004 0.0474 0.0002 0.0114 0.0000    
20 0.0098 0.0000 0.0474 0.0002 0.0114 0.0000  
Max   0.0004   0.0007   0.0003    
r   0.0008   0.0015   0.0005    

The test data compiled in Table 2 shows the average and the difference between the two-aliquot measurement results. ASTM D6443-14 specifies that “the difference between successive test results obtained by the same operator with the same apparatus under constant operation conditions on identical test material...in the long run” must not exceed the values in Table 3, which shows the formula for the maximum allowed repeatability “r” of each analyte. All units in Table 3 are in terms of mass%, including the standards’ concentration.

“Max” indicated in Table 2 is the maximum actual obtained difference between successive results, while “r” represents the maximum permissible difference as prescribed by the ASTM method (see Table 3). Since “Max” never exceeds “r”, the repeatability performance of the Supermini200 easily satisfies the requirements of ASTM D6443-14.

Table 3:  Repeatability as defined in ASTM D6443-14 (unit: mass%)

Element Concentration range Repeatability [r]
Ca 0.001 – 0.200 0.006914 (X+0.0007)0.5
Cl 0.001 – 0.030 0.0356 (X+0.0086)
Cu 0.001 – 0.030 0.002267 (X+0.0013)0.4
Mg 0.003 – 0.200 0.01611 (X+0.0008)0.333
P 0.001 – 0.200 0.02114 X0.7
S 0.030 – 0.800 0.02371 X0.9
Zn 0.001 – 0.200 0.01225 X0.7

Note) X: concentration in mass%


Qualitative scans of each analyte element are shown in Figure 2 which demonstrate the excellent peak -to-background ratio and spectral resolution of the wavelength-dispersive technology in the Rigaku Supermini200.

XRF1079 Figure 2 Qualitative chart

Figure 2:  Qualitative chart 

Conclusions 

This application note demonstrates that lubricating oils and additives can be routinely analyzed with excellent accuracy, sensitivity and repeatability using a benchtop WDXRF spectrometer with minimal installation requirements. 

In particular, the Rigaku Supermini200 sequential WDXRF spectrometer meets the specifications of ASTM D6443-14, as well as those of ASTM D4927-10, which applies to higher concentrations of additive elements. 

Reference 

ASTM D6443-14 (2019) Standard Test Method for Determination of Calcium, Chlorine, Copper, Magnesium, Phosphorus, Sulfur, and Zinc in Unused Lubricating Oils and Additives by Wavelength Dispersive X-ray Fluorescence Spectrometry (Mathematical Correction Procedure) 

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