Abstract
The aim of this project was to study the efficacy of current methods of quality control and quality assurance for ultra-high molecular weight polyethylene (UHMWPE) products, and find improvements where possible. Intrinsic viscosity (IV) tests were performed on three grades of polyethylene with weight average relative molar masses
1 Introduction
This is the first of four reports from IUPAC Sub-Committee 4.2.1: Structure and Properties of Commercial Polymers, which in 2010 set up a Task Group to evaluate the effectiveness of available methods of quality control (QC) and quality assurance (QA) of ultra-high molecular weight polyethylene (UHMWPE) mouldings and to find improvements where possible. This was seen as an important investigation, because prosthetic hip and knee joints are among the most demanding applications of synthetic polymers and UHMWPE is the polymer of choice for this purpose: it is biocompatible, durable, and has robust mechanical properties. In this context, the term ‘ultra-high’ indicates a weight average relative molar mass,
The UHMWPE Biomaterials Handbook covers a wide range of topics related to UHMWPE-based prostheses, ranging from polymerization to in vivo performance [1]. Orthopaedic implants offer great benefits to patients by relieving pain and increasing mobility, but they have a limited lifespan even under the most favourable conditions. The increasing number of treatments and the demand for implants from younger, more active patients have stimulated research to ensure a high level of performance and durability [1], [2].
Unfortunately, medical implants do not come with a guarantee of lifelong satisfaction. Historically, reported rates of recall have been about 1 % per year over the first 10 years, for reasons related to the condition of the patient, the standard of the surgery, or the quality of the implant. Records show that problems occur much more frequently over the following 10 years. Excessive wear has been the principal cause of implant-related failures, and efforts to combat this problem led in 1998 to the clinical introduction of highly crosslinked UHMWPE in place of the conventionally processed polymer. This development has its limitations (in particular, resistance to fatigue crack propagation is reduced), but it has generally proved to be beneficial; technological advances of a similar kind hold out the promise of further increasing the lifespan of orthopaedic implants in the future.
It is important that implants conform to the highest possible quality standards. These are generally achieved by applying two procedures: QA, which provides confidence that quality requirements will be fulfilled; and QC, which ensures that standards are maintained in manufactured products. Applying QA and QC to ordinary general-purpose grades of PE is straightforward. Molecular weight distributions are determined routinely using size exclusion chromatography (SEC), rheological properties of molten samples are characterized over an appropriate range of temperatures and strain rates, and the data are used to model flow behaviour during moulding. If standard design and operating procedures are applied properly, failures due to moulding defects can be eliminated. However, none of these QA procedures is applicable to orthopaedic grades of PE. One difficulty is that gels consisting of persistently entangled long chains cause severe problems in SEC by clogging the columns. Another is that sintering is unable to eliminate grain-boundary ‘fusion defects’ completely. In extreme cases, these defects take the form of voids, but the majority are simply interfaces where consolidation is less than perfect. In response to these challenges, IUPAC Subcommittee 4.2.1 Structure and Properties of Commercial Polymers initiated this research project in 2010, with the aim of developing improved methods for characterizing UHMWPE mouldings, and hence improving QA procedures for hip and knee prostheses. Table 1 lists the laboratories and participants providing experimental data in support of this project, along with their two-letter identifying codes.
Laboratory | Code | Participants |
---|---|---|
Chinese Academy of Sciences | CA | Jiasong He, Chen-Yang Liu |
Czech Institute of Macromolecular Chemistry | CZ | Miroslav Slouf |
Durham University | DU | Jun Jie Wu |
Helmholtz-Zentrum Geesthacht | HG | Ulrich A. Handge |
LyondellBasell | LB | Iakovos Vittorias |
Martin-Luther University | ML | Goerg Michler |
Oxford University | OU | Paul Buckley |
Centre of Molecular and Macromolecular Studies Polish Academy of Sciences | PA | Andrzej Galeski, Ewa Piorkowska |
University of Bayreuth | UB | Volker Altstädt |
Because the relative molar mass
2 Experiments and results
2.1 Materials
In 2009–2010, a leading manufacturer of UHMWPE (identified in this report by the code letters PM) provided three grades of powder, specifically for this project, as large batches with
2.2 Solution-based measurements
Vittorias (LB in Table 1) was able to prepare gel-free solutions of PE06 from reactor powder and determine its molecular weight distribution using SEC. The results, rounded to two significant digits, are presented in Table 2, where
where the magnitude of a is determined by making experimental measurements. The ASTM standard [3] recommends the Mark–Houwink equation for converting IV [η] into viscosity average molecular weight,
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0.023 | 0.54 | 0.59 | 3.9 |
By contrast, the European standard [4] uses the Margolies equation:
Table 2 shows that the viscosity average
SEC is not a viable option for PE5 and PE9, because neither of these polymers is sufficiently soluble in any solvent. Even at low concentrations, UHMWPE gels clog the separation columns. They also deplete the upper end of the molecular weight distribution. For these reasons, even when SEC data can be obtained, they are often disputed. An additional problem is that exceedingly long PE chains tend to crystallize in cooler sections of the chromatography equipment. Nevertheless, Talebi et al. have shown that it is possible to use SEC to make valid measurements of molecular weight distributions in UHMWPE, provided the polymerization process is carefully designed to avoid the formation of entanglements [5]. Using homogeneous catalysts and low-temperature polymerization conditions, they produced ‘monomolecular crystals’ which were fully soluble in 1,2,4-trichlorobenzene. When the resulting solutions were injected at 140 °C into high-temperature chromatography equipment, they produced reproducible relative molar mass distributions extending to 11 × 106. Such high levels of solubility are lost if the reactor powder is heated to a temperature at which reptation takes place and entanglements are formed. Consequently, it is impossible to make valid SEC measurements on melt-processed UHMWPE.
Fortunately, there are other ways of characterizing the molecular weights of PE samples. They are much less powerful, but potentially helpful for QA and QC purposes. Commercially-produced reactor powders are usually sufficiently soluble in decalin to permit reproducible and valid measurements of IV, symbol [η], see IUPAC Recommendations [6], provided that adequate precautions are taken. In some cases, it is also possible to perform IV tests on solutions made from compression-moulded or extruded samples. However, processing inevitably results in increased entanglement and the validity of the results is therefore questionable.
Both American and European standards specify that [η] should be measured at 135 °C, using an Ubbelohde capillary viscometer. For an IV of 20 dL g−1, the viscosity average molecular weights,
In the present project, a group led by Liu (CA) made IV measurements on all three grades of UHMWPE by dissolving samples of reactor powder in Finavestane A360B (a pharmaceutical-grade oil consisting of linear alkanes) at mass concentrations between 0.03 and 0.07 g dL−1. They measured specific viscosities [η] at 150 °C, using a TA Instruments AR-2000ex concentric cylinder rheometer, and employed the following equation to calculate
Two of the commercial laboratories involved in this project (codes PM and LB, Table 1) were equipped to handle potentially toxic liquids at elevated temperatures and follow the standard procedure for measuring intrinsic viscosity. A group led by Vittorias (code LB, Table 1) dissolved 15 mg samples of HMWPE and UHMWPE values in 300 mL decalin, added 0.25 wt. % of Irganox 1010 antioxidant as a stabilizer, heated the vials to 165 °C, and allowed the solutions to equilibrate over 6 h, with gentle shaking. They then made solution viscosity measurements at 135 °C in an Ubbelohde capillary viscometer. The PM followed a similar procedure, but, in accordance with ASTM Standard D4020, used stirring rather than shaking to prepare the solutions [3]. The results obtained from IV tests by the three laboratories are presented in Tables 3 and 4. They show substantial discrepancies, for reasons that are unclear. The factors that might be responsible are reviewed in the Section 3.
Lab. | [η]/(dL g−1) | ||
---|---|---|---|
PE06 | PE5 | PE9 | |
CA | 2.9 | 8.5 | 12.5 |
LB | 3.1 | 25.9 | 50.2 |
PM | 5.5 | 20.1 | 30.0 |
Lab. code | Test | θ/°C | PE06 | PE5 | PE9 | |||
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CA | IV Finavestane | 150 | 0.69 | – | 4.3 | – | 8.1 | – |
CA | Constant σ | 150 | – | – | – | 3.8 | – | 5.6 |
CA | Constant
|
150 | – | – | – | 4.2 | – | 5.6 |
LB | SEC | 135 | 0.54 | 0.59 | – | – | – | – |
LB | IV Decalin | 135 | 0.29 | – | 6.9 | – | 18.4 | – |
PM | IV Decalin | 135 | 0.70 | – | 5.7 | – | 8.5 | – |
Liu (code CA, Table 1) also made IV measurements on samples cut from compression-moulded PE06 sheet, which gave [η] of 2.1 dL g−1 and
2.3 Tensile testing to large strains
In addition to the results from IV tests, Table 4 contains two sets of molecular weight data obtained from uniaxial tensile tests at 150 °C. Although PMs rely heavily on size-exclusion chromatography to characterize their products wherever possible, melt rheology is widely used as an alternative source of information about molecular weight. Available methods range from simple melt-flow index testing to the complete characterization of relaxation spectra. In the case of UHMWPE, it is possible (at least in principle) to determine
Data on creep strain ε(t) and applied tensile stress τ0 were used to calculate the tensile creep compliance D(t), where:
In the most general case, D(t) can be expressed as the sum of three terms:
where D0 is the initial elastic compliance; Drec is the recoverable, time-dependent, viscoelastic response; and t/ηnrec is the non-recoverable tensile creep compliance. As shown in Fig. 1, these terms represent contributions from (a) a linear (Hookean) spring, (b) a Hookean spring in parallel with a simple (constant viscosity) dashpot, and (c) a simple dashpot (Burgers model).
Data on D(t) were used to determine η0,e, the steady-state extensional viscosity in the linear viscoelastic regime, which is higher than the zero shear rate viscosityη0 by a factor of three. The value of η0,e (which is equal to ηnrec in the Burgers model) is defined as the limiting value of t/D(t), as t tends to infinity and the applied stress τ0 tends to zero:
The application of this equation is illustrated in Fig. 2, which shows the calculated viscosity reaching a limit after 10 000 s. For PE5, η0,e is 1.4 GPa s. For PE9, η0,e is 5.2 GPa s. These results convert to a
Liu’s group also used another, slightly different method to measure
and L(t) is the length of the specimen at time t. Tests were conducted at 150 °C in a nitrogen atmosphere at a strain rate of 0.0001 s−1. The time-dependent elongational viscosity, ηe, was then expressed as the ratio of true stress, τ(t), to Hencky strain rate:
where F(t) is the applied force and A(t) is the cross-sectional area of the specimen at time t.
Figure 3 shows results for PE5 and PE9 at a constant Hencky strain rate of 0.0001 s−1. It is clear from the force-time curves that there is a marked difference in deformation behaviour between the two materials. As the specimens were 1 mm thick and 4 mm wide, PE5 reached a maximum stress of 0.13 MPa, while the maximum for PE9 was 0.25 MPa. By contrast, stress-strain curves obtained from tensile tests at 23 °C show very little difference between PE5 and PE9 — see Part 3 in this series. The elongational viscosity curves in Fig. 3 do not extend far enough to define limiting values accurately, but the extrapolation of the two curves beyond t of 10 000 s suggests an approximate limit at an η0,e of 1.8 GPa s for PE5 and of 5.0 GPa s for PE9. Applying the following equation to these data:
The estimated values of
2.4 Oscillatory shear tests on melts
To obtain worthwhile information about distributions of molecular weight from the relaxation time spectra of UHMWPE melts, it is necessary to make measurements of storage and loss moduli G′ and G″ over a wide range of frequencies. Ideally, these should extend to frequencies that are low enough, or relaxation times that are long enough, for G′ to fall below G″ in what is called the terminal regime, with characteristic slopes of unity for G″ and of two for G′ on a double-logarithmic scale. This is difficult to achieve when
For this reason, Vittorias (code LB, Table 1) carried out oscillatory shear tests at 210 °C on discs about 1 mm thick and 25 mm in diameter, which were prepared by compression moulding reactor powder mixed with 0.25 % by weight of Irganox 1010 stabilizer. Mouldings were held for 10 min at 200 °C under a pressure of 200 bar. As both PE5 and PE9 samples generated significant normal forces when first inserted between the rheometer plates, trials were conducted with various specimen thicknesses and preparation procedures, involving different conditioning times, temperatures, and pressures. These showed that preheating for up to 1 h at 210 °C was necessary to obtain a stable sample, while the stabilizer prevented significant damage involving degradation or crosslinking. The results from tests on the stabilised specimens are summarised in Fig. 4. In contrast to Fig. 3, the curves for PE5 and PE9 are close together, with a small separation only at low frequencies. There is a more substantial difference in rheological behaviour between PE06 and the two UHMWPE grades. However, none of the curves extends into the region where the magnitude of the complex viscosity modulus |η∗| is independent of angular frequency ω. Consequently, it is not possible to define a viscosity at zero shear rate in the accessible frequency range.
Liu used a rotational rheometer to characterize the viscoelastic behaviour of PE06, PE5, and PE9 at 190 °C. The results are presented in Fig. 5, where the dashed line at 2 MPa defines the plateau modulus of PE at high frequencies. When the data in Fig. 5 are converted to complex viscosities, they are in good agreement with the curves in Fig. 4. Handge (code HG, Table 1) employed rotational rheometry to analyse the viscoelastic properties of the three UHMWPE grades using an MCR 502 rheometer (Anton Paar GmbH, Graz, Austria). This was fitted with 25 mm diameter parallel plates to make oscillatory shear measurements on discs with diameters of 20 mm and thicknesses of 2 mm, which were cut from compression-moulded plaques. They were first dried at 35 °C under vacuum for at least 12 h. Tests were then carried out in a nitrogen atmosphere. When samples were inserted into the rheometer, care was taken that normal forces (resulting from both thermal expansion and slight compression of the sample) were minimized. The stability of each material was first tested during 3-h time sweeps at 150 °C and 190 °C at a fixed angular velocity ω of 0.1 rad s−1 and shear amplitude γ0 of 5 %. Thermal expansion coefficients were used to calculate specimen diameters at the test temperature, following the method used by Sentmanat et al. [9]. Figure 6 shows that the dynamic moduli G′ and G″ of all three grades of UHMWPE were independent of shear strain amplitude when γ0 was increased from 1 to 10 %. Figure 7a shows that the storage modulus G′ remained independent of time in PE5 and PE9 throughout the sweep at both temperatures. However, in Fig. 7b, the storage modulus of PE06 shows a moderate increase from 44 to 54 kPa at 150 °C, as well as a larger increase from 52 to 70 kPa at 190 °C.
2.5 Creep and recovery under shear
Another method for studying the flow behaviour of polymers over long periods of time is the creep recovery experiment [10]. In order to obtain data on PE06, PE5, and PE9 in the linear viscoelastic regime, creep recovery experiments were performed in shear (code HG, Table 1) using an MCR 502 rotational rheometer with plate-plate geometry. All tests were carried out at 150 °C in a nitrogen atmosphere over a creep time tmax of 10 000 s. The applied shear stress, τxy,0, was set at 500 Pa, which is much smaller than the stresses applied in tensile creep tests and belongs to the linear regime. A stress of 500 Pa was chosen after analysing amplitude sweeps in the range 10 to 1000 Pa at an angular frequency of 10 rad s−1. In the creep recovery experiments, shear creep compliance, J(t) = γ(t)/τxy,0, was determined, where γ(t) is the shear strain at time t. After the applied stress was removed, a new time scale (t′ = t−tmax) was employed, and the recovered creep compliance Jr(t′) was recorded, where
and γmax is the shear strain attained at time t = tmax.
Results from these experiments are presented in Fig. 8. They show clearly that the terminal regime, which has a slope of unity, is not achieved in any of the UHMWPE grades selected for this study, and they demonstrate that the regime of Newtonian flow cannot be reached within a reasonable experimental time period. Furthermore, the recovered compliance, Jr(t′), is significantly smaller than the creep compliance, J(t), in PE06, whereas J(t) is equal to Jr(t′) within experimental scatter in PE5 and PE9. This result shows that fully elastic (reversible) behaviour is achieved only in the two ultra-high molecular weight grades. The elasticity of PE5 and PE9 is also indicated by the ‘creep-ringing’ effect shown in Fig. 8, where the compliance oscillates during the first 10th of a second.
3 Discussion
The standard methods for measuring the molecular weights of thermoplastics were not designed for polymers with extremely long chains. Their limitations are highlighted in this report. They are most apparent in the case of SEC, which depends for its viability on complete solubility of the sample, which is hard to achieve. However, difficulties are also encountered in the determination of intrinsic viscosity, where it is possible to make measurements on UHMWPE solutions, but the validity of the data obtained from these measurements depends critically on the history of the original sample, the techniques used to prepare solutions, and the test procedure.
Experiments on solutions prepared from commercially produced UHMWPE reactor powder show that they invariably contain some entanglement gels, which not only distort SEC data by preferentially depleting the upper end of the molecular weight distribution, but also tend to clog the chromatography columns, rendering them unusable. Talebi and co-workers have demonstrated that it is possible to use SEC for characterizing UHMWPE, but only when extreme care is taken to avoid the formation of entanglements during polymerization [5]. Furthermore, it is well known in the industry that gel contents increase dramatically in samples that have been melt-processed. In light of this experience, task group members decided to exclude SEC from the main experimental program. One exception was made; a single SEC test was carried out on PE06, which has a
In response to the limitations of SEC, some manufacturers use IV measurements to measure molecular weights, following ASTM or ISO standards [3], [4]. As noted earlier, the application of IV-based test methods to UHMWPE is not without its difficulties, but these can be minimised by taking great care during the preparation of solutions, to ensure that the concentration of persistently entangled molecules is as low as possible. Factors known to affect the gel content include the concentration of UHMWPE in the initial solution and the method of agitation during its preparation, but there is little (if any) published information on the subject. The ASTM standard recommends stirring [3], while ISO standard specifies shaking [4], which is thought to minimise shear-induced chain scission.
The
Currently, international standards for IV testing of UHMWPE make no mention of its limited solubility, or of possible changes taking place during moulding, as a result of thermal degradation. There is no guidance in the standards on how to minimise the content of insoluble gel when making a solution, or on possible methods for assessing gel content and thus ensuring that test results are valid. Some basic principles are well known within the industry: solutions should always be made from reactor powder; concentrations in initial solutions should be kept as low as possible, in order to minimise entanglement; and stirrer speeds should be kept low, to minimise chain scission. Unfortunately, there is no procedure for determining whether a particular solution is able to provide valid data in IV tests. Manufacturers simply have to develop methods that give consistent results over an extended period of time, and use those methods for QC purposes. International standards could be improved by adding some guidance on possible sources of error in IV testing of UHMWPE, just as standards for fracture mechanics testing always specify thicknesses greater than a calculated minimum for test specimens to ensure the validity of fracture toughness data. It is more difficult to formulate criteria for the validity of IV test solutions, but any soundly-based guidance would be better than none. It might be possible, for example, to use turbidity measurements to detect gels.
There is a further problem with
In the present study, attempts to characterize molecular weights using conventional melt rheology tests proved largely unsuccessful. Ideally, testing would extend over a range of times or frequencies that is sufficiently wide to characterize the entire molecular weight distribution. However, at 150 °C, just above the melting point, relaxation times are extremely long and thermal degradation can become a significant issue during extended tests. For the same reasons, there are limits on the extent to which the temperature can be raised to accelerate relaxation.
The most promising rheological results are the elongational viscosity data shown in Figs. 2 and 3. Again, concern about thermal degradation led to restrictions on this experimental work. The tests extended over 3 h, which was not sufficient to enable limiting values to be determined with any accuracy. On the other hand, these tests demonstrate clear differences between PE5 and PE9, to a degree that other rheological tests do not. In contrast to applied-shear tests, melt elongation is generally associated with large strains, at which the response of the material is nonlinear. Values of
Potentially, elongational rheometry could also provide information about the mechanical integrity of mouldings, where a 100 % integrity rating indicates the complete absence of fusion defects. This possibility is suggested by differences between the calculated values of
4 Conclusions
It is well known that SEC cannot be used to measure molecular weight distributions in commercial grades of UHMWPE, because solutions, however well prepared, always contain entanglement gels. These difficulties can be avoided by using IV tests, but those tests have serious limitations. Most obviously, they provide a simple viscosity average molecular weight, with no information about molecular weight distribution. Furthermore, the reproducibility of IV data from UHMWPE solutions depends critically on the experimental skills and experience of the investigator. Those who are familiar with this area are aware that the concentration of the initial solution is important. It must be high enough to define IV clearly, but not so high that it enables gels to form. Shaking or stirring at elevated temperatures must be used in preparing the solutions, but care must be taken to avoid thermally- or mechanically-induced chain scission. Among experts, opinions differ on whether shaking or stirring is the better choice. These issues raise questions about the suitability of IV testing as a QA or QC procedure. If the results depend so critically on the experience and manual dexterity of the investigator, they cannot be regarded as completely reliable.
Melt rheology provides an alternative approach to the characterization of the molecular weight of polymers with very long chains. The preferred procedure is to produce a complete relaxation spectrum, but frequency sweeps and creep recovery tests show that the spectra of HMWPE and UHMWPE are far too broad to achieve the terminal regime under realistic experimental conditions. Thermal degradation problems place limits on the times over which the tests can be extended and on the temperatures at which measurements can be made: 210 °C is probably near the upper limit. However, tensile melt rheology at high stresses and strains has shown promise as an alternative method for characterizing molecular weight. Tensile tests at 150 °C, at both constant applied loads and constant Hencky strain rates, have provided some interesting data that distinguish clearly between PE5 and PE9. There is a strong case for exploring the potential of these methods further by extending the temperature range and adjusting other experimental conditions.
Molecular weight is not the only factor affecting the performance of products made from UHMWPE. Crystalline structure and the quality of consolidation in the melt state are also very important. Part 2 of this series reviews data on melting, crystallization, lamellar thickness, anisotropy, and fusion defects in the compression mouldings prepared for this project. Part 3 covers a wide range of mechanical properties, including yielding in tension and compression, hardness, and wear. Part 4, the last in this series, describes the extraordinary sporadic crack growth behaviour exhibited by PE06, PE5, and PE9 in fatigue tests on 10 mm thick compact tension specimens, and gives reasons for concluding that it is caused by incomplete consolidation during melt processing.
5 Membership of sponsoring body
Membership of the Subcommittee on Structures and Properties of Commercial Polymers during the preparation of these Reports was: Chair: Yongfen Men (China); Secretary: Yujing Tang (China); Members: Volker Altstädt (Germany); Lijia Am (China); Oliver Arnolds (USA); Dietmar W. Auhl (Netherlands); Paul Buckley (UK); Clive B. Bucknall (UK); Peng Chen (China); lldoo Chung (S. Korea); Dirk J. Dijkstra (Germany); Andrzej Galeski (Poland); Christoph Gögelein (Germany); Chang-Sik Ha (S. Korea); Mijeong Han (S. Korea); Ulrich Handge (Germany); Jiasong He (China); Sven Henning (Germany); Jun-ichi Horinaka (Japan); Wenbing Hu (China); Dae Woo Ihm (S. Korea); Tadashi Inoue (Japan); Takaharu Isaki (Japan); Akihiro Izuka (Japan); Xiangling Ji (China); Michail Kalloudis (UK); Dukjoon Kim (S. Korea); Jin Kon Kim (S. Korea); Sung Chul Kim (S. Korea); Seong Hun Kim (S. Korea); D. Su. Lee (S. Korea); Won-Ki Lee (S. Korea); Jae Heung Lee (S. Korea); Soonho Lim (S. Korea); Chengyang Liu (China); Shu-ichi Maeda (Japan); Mario Malinconico (Italy); Goerg Michler (Germany); Koh-Hei Nitta (Japan); Ewa Piorkowska-Galeska (Poland); Jinliang Qiao (China); Artur Rozanski (Poland); Dong Gi Seong (S. Korea); Tongfei Shi (China); Hongwei Shi (China); Sampat Singh Bhatti (Germany); Miroslav Slouf (Czech Republic); Zhaohui Su (China); Toshikazu Takigawa (Japan); Katsuhisa Tokumitsu (Japan); Kenji Urayama (Japan); Tatana Vackova (Czech Republic); Silvie Vervoort (Netherlands); Iakovos Vittorias (Germany); Yanwei Wang (Kazakhstan); Jun Jie Wu (UK); Donghua Xu (China); Masayuki Yamaguchi (Japan); Myung Han Yoon (S. Korea); Wentao Zhai (China); Wim Zoetelief (Netherlands)
Membership of the IUPAC Polymer Division Committee for the period 2020–2021 is as follows: President: C. K. Luscombe (USA); Past President: G. T. Russell (New Zealand); Vice President: I. Lacík (Slovakia); Secretary: P. D. Topham (UK); Titular Members: M. C. H. Chan (Malaysia); C. Fellows (Australia); R. C. Hiorns (France); R. Hutchinson (Canada); D. S. Lee (Korea); John B. Matson (USA); Associate Members: S. Beuermann (Germany); G. Moad (Australia); Marloes Peeters (UK); C. dos Santos (Brazil); P. Théato (Germany); M. G. Walter (USA); National Representatives: Ana Aguiar-Ricardo (Portugal); Jiasong He (China); C.-S. Hsu (Taiwan); Melina T. Kalagasidis Krušić (Serbia); P. Mallon (South Africa); O. Philippova (Russia); Guido Raos (Italy); M. Sawamoto (Japan); A. Sturcova (Czech Republic); Jan van Hest (Netherlands).
Funding source: IUPAC
Award Identifier / Grant number: 2010-019-140
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Funding: Project 2010-019-1-400 was supported by a grant from IUPAC, Funder ID: 10.13039/100006987. The experimental support of Mrs. Jacqueline Uhm (Universität Bayreuth) and Mrs. Ivonne Ternes (Helmholtz-Zentrum Geesthacht) is gratefully acknowledged.
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© 2020 IUPAC & De Gruyter. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.