Lukas
Brunnbauer
*a,
David Ken
Gibbs
a,
Detlef
Günther
b and
Andreas
Limbeck
a
aTU Wien, Institute of Chemical Technologies and Analytics, Getreidemarkt 9/164, 1060 Vienna, Austria. E-mail: lukas.brunnbauer@tuwien.ac.at
bETH Zurich, Laboratory of Inorganic Chemistry, Department of Chemistry and Applied Biosciences, ETH Zurich, Vladimir-Prelog-Weg 1, 8093 Zürich, Switzerland
First published on 30th June 2025
LA-ICP-MS is a widely used analytical technique for elemental analysis of different solid samples, including carbon-based samples. To compensate for matrix-effects and instrumental drifts during analysis, application of an internal standard is recommended. For carbon-based samples, the application of carbon as an internal standard seems reasonable but is typically not recommended due to the so-called two-phase sample transport where ablated carbon is transported both as particulate and gaseous species. The quantitative deviations in the sensitivity of particulate and gaseous carbon have not been accessible so far but would provide useful insights into the application of carbon as an internal standard. More precisely, if similar sensitivity for particulate and gaseous carbon species is found, application as an internal standard would not be restricted. To investigate this, we analyze the two-phase sample transport of carbon upon ablation of 5 different polymers, which all form different ratios of particulate and gaseous carbon species. Amongst the studied materials, it has been observed that 2 samples provide almost exclusive formation of a gas phase. Correlating these observed signals for selected polymers with the ablated mass of carbon allows us to calculate the sensitivity of gaseous carbon species as 13.8 cts per pg. Using a mass balance approach, we estimated the sensitivity of particulate carbon for the 3 other polymers, where we find significant differences in sensitivity ranging from 1.69 cts per pg to 14.06 cts per pg. This indicates that the sensitivity for particulate carbon species is highly dependent on the sample matrix, resulting in sensitivity differences up to a factor of 7. All in all, the findings of this study support the results of carbon being an inadequate choice for an internal standard in LA-ICP-MS.
However, in previous studies, it was found that carbon experiences a phenomenon called two-phase sample transport, where part of the carbon mass is transported as gaseous species and another part is transported as particulate matter, which hinders its application as an internal standard. This phenomenon was first observed by Todoli et al.8 demonstrating that after ablation of PVC, both gaseous and particulate carbon species are formed. This effect was investigated in more detail by Frick et al.,9 who used a filter and a gas exchange device to separate the particulate and gaseous species. It was found that the ratio of gaseous and particulate carbon formed after LA is matrix-dependent with some relation to the oxygen content of the sample. Additionally, they found that other elements under investigation were only present in the particulate phase. Therefore, the authors concluded that normalization to carbon as an internal standard is not applicable and will not fully compensate for variations in the laser ablation process, transport of the ablated material towards the ICP, as well as vaporization, atomization and ionization in the ICP. Furthermore, Frick et al.9 provided an overview of literature where either carbon was used as an internal standard or specifically not used which highlights the controversy of this topic.
Recent improvements in instrumentations such as the introduction of rapid response cells and next generation ICP-TOF-MS and ICP-Q-MS10 enable the measurement of so-called single pulse response (SPR) profiles representing the transient signal of a single laser shot.11–13 This allows for the investigation of the effect of two-phase sample transport directly in more detail without the need to employ filters or gas exchange devices. In a study by van Helden et al.,14 the authors found that upon ablation of gelatine, both carbon and some other elements exhibited two-phase sample transport. Additionally, they showed that the ratio of gaseous carbon grows with increasing laser energy used for ablation. In a follow-up study, the authors investigated the effect of this two-phase transport on image quality in LA-ICP-MS imaging,15 revealing substantial degradation of image quality for elements experiencing two-phase sample transport.
In general, it is expected that gaseous and particulate carbon species show variations in signal response due to differences in transport efficiency as well as differences in vaporization, atomization and ionization efficiency. Compared to particulate species, better atomization and ionization in the ICP are expected for gaseous species since vaporization is not required. Moreover, gaseous species are expected to be transferred from the ablation chamber to the ICP with close to 100% transport efficiency, whereas transport efficiencies reported for particle aerosols in LA range from 8% to 77% (ref. 16–18), depending on the instrumentation used (e.g., pulse width) and ablation atmosphere. Thus, the use of carbon for signal normalization introduces an additional source of error, especially if the sample of interest consists of different carbon containing compounds, since the partitioning between gas and particle phase might vary within the sample matrix. Some examples of carbon-containing matrices, which would suffer from this effect and are commonly analyzed in LA-ICP-MS, include biological and medical samples such as tissues, cells, and plants, or samples from the field of materials science such as polymers or composites.
In this work, we aim to quantify the two-phase sample transport of carbon and compare the sensitivity of gaseous carbon species with the sensitivity of particulate carbon. Therefore, we analyze 5 different polymer types (polyimide (PI), poly(methyl methacrylate) (PMMA), polysulfone (PSU), polyvinyl chloride (PVC), and polyvinylpyrrolidone (PVP)) with a constant laser energy of 5.8 J cm−2 and three different laser spot sizes (20, 30, and 40 μm).
imageGEO193 | NexION5000 | ||
---|---|---|---|
Laser fluence (J cm−2) | 5.8 | RF power (W) | 1600 |
Chamber/cup He (ml min−1) | 250/200 | Ar make-up gas (L min−1) | 1.2 |
Spot size (circular) (μm) | 20, 30, 40 | Detected isotope | 13C+ |
Repetition rate (Hz) | 10 | Dwell time (ms) | 0.3 |
Analysis was performed using 101 shots fired with a distance of 20 μm between each laser shot. Using these conditions, each single laser shot resulted in one ablation crater and the corresponding single-pulse-response signal was not influenced by preceding shots.
Crater volumes were determined using a Dektak XT stylus profilometer (Bruker Corporation, MA, USA), measuring 3D maps with a resolution of 5 μm in the x-direction and 0.07 μm in the y-direction. Obtained craters showed regular spherical shapes with uniform depth for all polymers. The volume of the ablation craters was assessed using the open-source software Gwyddion 2.67.19 A detailed description of the crater shapes and the data evaluation process is provided in the ESI.† The ablated mass for each LA parameter was calculated from the crater volume as well as the known density and carbon content of the individual polymers.
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Fig. 1 Total carbon signal for the investigated polymers for different laser energies with a spot size of 30 μm (n = 101 shots). |
Even though 5.8 J cm−2 is a rather high laser energy for the analysis of polymers (indicated by the non-linear increase of the total carbon signal for some polymers), these conditions allow us to form gaseous species only for two polymers which is a precondition for the assessment of the sensitivity of gaseous carbon species. Thus, further experiments were carried out with a constant laser energy of 5.8 J cm−2 and spot sizes varying from 20 to 40 μm. The transient signals of the SPR (101 shots) obtained for a spot size of 30 μm are averaged and shown in Fig. 2 for qualitative assessments. For each polymer, a single laser pulse generated two separated peaks in the transient 13C+ signal, indicating two-phase sample transport of carbon. Considering that this was also observed by van Helden et al. upon ablation of gelatine,14 we can confirm that particulate carbon arrives first at the ICP-MS followed by gaseous carbon. The delay between particulate and gaseous carbon of approx. 45 ms is similar for all polymers analyzed. Additionally, peak widths for the particulate (∼15 ms) and gaseous carbon (∼25 ms) are different for all polymers investigated.
While PMMA and PVP show almost exclusive signals for gaseous carbon species, the SPRs of PI, PSU, and PVC display a significant amount of both particulate and gaseous carbon species. Additionally, total carbon signals for PMMA and PVP are significantly higher than total carbon signals for PI, PSU, and PVC. Comparing the peak integrals of gaseous and particulate carbon species for PMMA and PVP, it is found that >93% and >95% of the total carbon signal originate from the gaseous peak, respectively. In the case of the other polymers investigated, the contribution of the gaseous carbon signal accounts for 68% (PI), 70% (PSU), and 56% (PVC) of the total carbon signal.
In contrast to the work by Frick et al.,9 there does not seem to be any correlation between the oxygen content within polymers (Table 2) and the formation of gaseous carbon species. While PMMA has the highest oxygen content in its repeating unit and the majority of the total carbon signal stems from gaseous species, PVP exhibits a similar SPR despite its repeating unit only containing approximately half the amount of oxygen. In fact, the oxygen content of both PI and PSU is similar to that of PVP, but they display vastly different SPR profiles. Additionally, PVC, which contains no oxygen at all, shows a significant formation of gaseous carbon species. Nevertheless, residual oxygen in the high purity He used as a carrier gas, or oxygen outgassing from components in the ablation chamber and tubing may lead to the formation of CO/CO2, subsequently detected as gaseous species.
Oxygen content (wt%) | Oxygen atoms per repeating unit (—) | |
---|---|---|
PI | 18.9 | Structure not known |
PMMA | 32.0 | 2 |
PSU | 14.46 | 4 |
PVC | 0 | 0 |
PVP | 14.4 | 1 |
Further insights into the two-phase transport of carbon can be obtained by analyzing the correlations between ablated mass of carbon and the integrated signal of both gaseous carbon (Fig. 4(a)) as well as particulate carbon (Fig. 4(b)) for all polymers. A linear relationship is found between the signal of gaseous carbon species and ablated mass of carbon for PMMA and PVP which exclusively (>93% and >95%, respectively) form gaseous carbon species (Fig. 4(a)). Since PMMA and PVP exhibit the same signal trend, we can assume that transport and atomization/ionization of the gaseous species are similar. This is confirmed by calculating an individual linear regression for the PMMA and PVP data resulting in slopes of 14.23 ± 0.01 cts per pg and 12.69 ± 0.30 cts per pg, respectively. Applying a two-sided t-test with one degree of freedom results in a p-value of 0.12, indicating that there is no reason to believe that the slopes of PMMA and PVP differ at a 5% level of significance. This outcome indicates that the chemical nature and properties of the formed gaseous species have no effect on the signal response, since observed carbon signals depend only on the introduced mass of carbon. Calculating a linear regression based on the combined data of PMMA and PVP allows us to estimate the sensitivity for the gaseous carbon based on the slope. For gaseous carbon, we determined a sensitivity of 13.8 cts per pg carbon. It should be mentioned that an intercept (43.69 cts) was observed for the obtained calibration function. This indicates either insufficient background correction or some systematic error in the determined ablated carbon masses. Nevertheless, the intercept is relatively small compared to the signals observed (varying between 2440 cts and 10895 cts), making its influence negligible for the data evaluation.
Polymers which form both gaseous and particulate carbon species (PI, PSU, and PVC) show a lower signal for the gaseous carbon species in relation to the ablated mass of carbon than the calibration obtained for PMMA and PVP (Fig. 4(a)), since the proportion of particulate carbon is significantly higher. Nevertheless, a relationship between the detected gaseous carbon signal and the ablated carbon mass with an offset and smaller slope compared to the calibration for PMMA and PVP is found, indicating a linear increase in the formed gaseous species with increasing ablated carbon mass.
Fig. 4(b) shows the relationship between the signal for the particulate carbon species and the total ablated carbon mass. A constant low signal for the particulate carbon species in relation to the ablated carbon mass is found for PMMA and PVP. PVC shows an increase in the signal of the particulate carbon species with larger ablated mass which is the expected result. For PI and PSU on the other hand, the signal of particulate carbon species depletes slightly with increasing ablated carbon mass. This can either be explained by a decrease of the transport efficiency with increasing mass of ablated carbon or by incomplete vaporization/atomization/ionization in the ICP.
In the next step, we can use the obtained calibration for gaseous carbon species (based on PMMA and PVP) to quantify the mass of gaseous carbon species for the three polymer types (PI, PSU, and PVC), which showed the formation of both gaseous and particulate carbon species. Since no differences in the response of the gaseous carbon species of PMMA and PVP were observed, we assume a similar transport efficiency and atomization/ionization efficiency of the gaseous species formed upon ablating the other polymers. The results are denoted by the estimated gaseous mass (pg) in Fig. 5.
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Fig. 5 Mass balance calculations for PI (a), PSU (b), and PVC (c). Quantification of gaseous carbon is based on the obtained calibration for gaseous carbon (Fig. 4). Expected mass of particulate carbon is obtained by subtracting the quantified gaseous carbon mass from the total ablated mass (grey) determined from the crater volume. |
Knowing the total mass of ablated carbon and due to conservation of mass (mass balance), we can now estimate the expected mass of particulate carbon by subtracting the determined mass of gaseous carbon species from the total mass of ablated carbon (Fig. 5). It should be noted that the total amount of carbon generated upon ablating PI, PSU and PVC with 20, 30 and 40 μm spot sizes is comparable, ranging from 153 pg for 20 μm to 459 pg for 40 μm, indicating an almost similar ablation behavior of these three chemically different polymers. Additionally, the expected mass of particulate carbon is in a similar range, which is surprising considering that the signal intensities for the particle phase of PVC and PSU/PI are quite different ranging from 180 cts to 1450 cts (Fig. 4(b)).
We can now estimate the sensitivity for particulate carbon based on the findings in Fig. 5 by simply dividing the obtained signal for particulate carbon for PI, PSU and PVC for the different spot sizes by the expected mass of particulate carbon. The results are shown in Fig. 6.
Sensitivities for particulate carbon ranging from 1.69 cts per pg (PSU, 40 μm spot size) up to 14.06 cts per pg (PVC, 20 μm spot size) are found. While the sensitivity for particulate carbon for PVC is similar to the sensitivity for gaseous carbon of PVP and PMMA, this is not true for PI and PSU, which further display a dependence on the spot size suggesting a decrease in sensitivity with larger spot size. For a spot size of 20 μm, particulate carbon species formed upon ablation of PVC are detected with a 2.3 times higher sensitivity than PSU and PI. This discrepancy further increases for larger spot sizes up to a factor of 5.3 for PI and 7.3 for PSU (40 μm). These results indicate that the sensitivity of particulate carbon is highly dependent on the chemical nature of the analyte and is also influenced by the spot size.
Both transport efficiency and vaporization/atomization/ionization in the ICP depend on the chemical composition of the analyzed sample influencing the generated size distribution of the aerosol, formation of agglomerates and potential static charging effects. For PVC, we find sensitivities for particulate carbon species in a similar range to that for gaseous carbon species indicating that transport efficiency and vaporization/atomization/ionization are similar.
PI and PSU show a significantly lower sensitivity for particulate carbon which decreases with increasing spot size. This implies that either the transport efficiency is reduced, significant redeposition takes place, or incomplete vaporization/atomization/ionization occurs. Differences in ionization efficiency are expected to be negligible, since van Acker et al.21 reported a linear relationship between the obtained carbon signal and the particle size when analyzing polystyrene (PS) spheres up to a diameter of 20 μm. The mass of carbon introduced into the ICP-MS for a 20 μm spherical PS particle is equal to 4058 pg. Comparing this to the masses of carbon introduced in this work (<777 pg), we can assume complete vaporization/atomization/ionization for our samples, especially considering that we introduce a particle aerosol or gaseous species compared to individual particles as reported by van Acker et al. Therefore, we conclude that the lower sensitivity found for particulate carbon for PI and PSU is mainly caused by reduced transport efficiency from the ablation chamber to the ICP-MS or redeposition.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d5ja00172b |
This journal is © The Royal Society of Chemistry 2025 |