First-principles density functional theory calculations were performed on a number of important energetic molecular crystals, pentaerythritol tetranitrate (PETN), cyclotetramethylene tetranitramine (HMX), cyclotrimethylene trinitramine (RDX), and nitromethane. Simulations of hydrostatic and uniaxial compressions, as well as predictions of ground-state structures at ambient conditions, were performed using the DFT codes CASTEP and VASP. The first calculations done with CASTEP using GGA-PW yielded reasonable agreement with experiment for the calculated isothermal EOS for PETN-I from hydrostatic compression data, yet the EOS for β -HMX shows substantial deviation from experiment. Interesting anisotropic behavior of the shear-stress maxima were exhibited by both crystals upon uniaxial compression. It was predicted that the <100> direction, the least sensitive direction of PETN, has significantly different values for shear stress maxima τyx and τzx, in contrast to the more sensitive directions, <110> and <001>. In addition, non-monotonic dependence of one of the shear stresses as a function of strain was observed upon compression of PETN in the <100> direction. VASP calculations were later performed, and the results yielded good qualitative agreement with available experimental data for the calculated isothermal EOS and equilibrium structures for PETN-I, β-HMX, α-RDX, and nitromethane. Using VASP, uniaxial compression simulations were performed in the <100>, <010>, <001>, <110>, <101>, <011>, and <111> directions for all crystals up to the compression ratio V/V0 = 0.70. The VASP calculations of PETN reproduced the CASTEP results of significantly different values of τyx and τzx for the insensitive <100> compression, and relatively high and equal values of τyx and τzx for the sensitive <110> and <001> compressions. A correlation between this behavior of shear stress upon uniaxial compression and sensitivity was suggested, and predictions of anisotropic sensitivity of HMX, RDX, and nitromethane were made. Further analysis of the VASP results for PETN do not indicate a correlation between sensitivity and shear stress maxima as a function of longitudinal stress, where longitudinal stress is an appropriate experimental independent variable for comparison. The validity of a correlation between shear stress maxima and sensitivity requires further investigation. Further characterization of the anisotropic constitutive relationships in PETN was performed.

Pentaerythritol tetranitrate (PETN), a nitrate ester, is widely used as a powerful explosive and is classified as a munitions constituent of great concern by DoD in U.S.A. It is an environmental concern and poses a threat to ecosystem and human health. Our objective was to examine potential remediation strategies for both PETN-contaminated water and soil. Flow-through iron columns were used to determine the potential for using granular iron to degrade PETN in aqueous phase. PETN transformation in both a 100% iron column and a 30% iron and 70% silica sand column followed pseudo-first-order kinetics, with average half-lives of 0.26 and 1.58 minutes, respectively. Based on the identified intermediates and products, the reaction pathway was proposed to be a sequential denitration process, in which PETN was stepwisely reduced to pentaerythritol with the formation of pentaerythritol trinitrate (PETriN) and pentaerythritol dinitrate (PEDN). Although pentaerythrito mononitrate was not detected, an approximately 100% nitrogen mass recovery indicated that all nitro groups were removed from PETN. Nitrite was released in each denitration step and subsequently reduced to NH4+ by iron. Nitrate was not detected during the experiment, suggesting that hydrolysis was not involved in PETN degradation. Furthermore, batch experiments showed that PETN dissolution was likely a rate-limiting factor for PETN degradation, especially in the case with high amount of iron. Using 50% methanol as a representative co-solvent, PETN solubility was greatly enhanced and thus the removal efficiency was improved. The results demonstrate the use of granular iron to remediate PETN-contaminated water. The biodegradability of aqueous PETN was examined with a mixed microbial culture from a site contaminated with PETN. The mixed culture was enriched and selected using a mineral medium containing acetate and yeast extract as carbon and nutrient sources in the presence of nitrate or sulfate. The final enrichment cultures were used as inocula for studying PETN biodegradation under nitrate-reducing and sulfate-reducing conditions. In addition, PETN degradation was tested using the original microbial culture under the mixed electron acceptor conditions of nitrate and sulfate. The results showed that under all conditions tested, PETN was sequentially reduced, apparently following the same pathway as the abiotic reduction by granular iron. Pentaerythritol mononitrate, a suspected intermediate in the abiotic degradation by iron, was identified in this experiment. The presence of nitrate seemed not to affect the kinetics of PETN degradation, with both PETN and nitrate degrading simultaneously. However, the rate of nitrate reduction was much faster than PETN degradation. With respect to sulfate, its presence did not have an adverse effect on PETN degradation, indicated by the very similar degradation rates of PETN in the presence and absence of sulfate. Under all conditions, PETN appeared to act as a terminal electron acceptor for energy generation during biodegradation. A utilization sequence by bacteria in the order of nitrate, PETN, PETriN, PEDN and sulfate was clearly observed. The study in this phase demonstrated that under anaerobic conditions, with carbon sources provided, PETN can be effectively biodegraded by indigenous bacteria in contaminated soil, most likely by denitrifying bacteria. Based on the successful demonstration of abiotic and biotic degradation of PETN in the aqueous phase, both methods were further tested for remediating PETN-contaminated soil in both laboratory and pilot scale. In the laboratory, a systematic soil microcosm experiment was conducted using soil from a contaminated site and additions of either granular iron or organic materials, with deoxygenated Millipore water. Because of the high concentration in the contaminated soil, solid-phase of PETN was initially present in the microcosms. Two types of DARAMEND products, D6390Fe20 (containing 20% iron + 80% botanical materials) and ADM-298500 (100% botanical materials), were used as sources of carbon and other nutrients. During the 84-day incubation period, more than 98% was removed in all DARAMEND treatments, following pseudo-first-order kinetics with half-lives ranging between 8 and 18 days. The results clearly demonstrated that PETN can be effectively degraded under anaerobic conditions with the addition of carbon and possibly nutrients. As in the aqueous tests, the sequence of microbial utilization was nitrate followed by PETN and sulfate. In contrast to the tests with aqueous PETN, iron was not effective in removing PETN in the contaminated soil, due to iron passiviation caused by the presence of high levels of nitrate in the soil. In addition, a slight enhancement was observed in a combined system of iron and biodegradation over biodegradation only. However, the extent of enhancement is not believed to be significant relative to the extra cost for iron addition. A pilot scale test was conducted at a PETN-contaminated site at Louviers, CO, a waste pond which had received waste water from PETN manufacture for over 20 years. The test involved 10 treatments, one control without amendment, one amended with iron (10%), eight with different types and amounts of organic carbon (1%, 2% and 4% of D6390Fe20; 2% and 4% of ADM-298500 and 1%, 2% and 4% of brewers grain). Each treatment was performed in a plastic tub (45 cm wide × 90 cm long × 25 cm deep), containing approximately 18 cm thick layer of soil and 6-8 cm of standing water. Over 74 days, very little consistent reduction of PETN was found in the iron treatment, which was also due to iron passivation in the presence of nitrate in the soil. In contrast, significant removal of PETN (11,200 to 33,400 mg/kg) was observed in the treatments amended with organic materials, and the extent of removal increased with increasing amounts of organic materials. The pilot test was consistent with the results of the laboratory experiments for iron and biodegradation with carbon addition. For biological treatment, the stoichiometric estimation suggests that the complete remediation in many of the treatments will be ultimately limited by carbon sources. Results of this study showed the great potentials of using granular iron to degrade PETN in solution and using indigenous bacteria present in contaminated soils to biodegrade PETN in both the solution and soil phase. Both iron and biodegradation with carbon addition represent viable approaches for remediation of PETN-contaminated water and soil, though iron may not be appropriate in the presence of high concentration of nitrate.

Pentaerythritol tetranitrate (PETN), a nitrate ester, is widely used as a powerful explosive and is classified as a munitions constituent of great concern by DoD in U.S.A. It is an environmental concern and poses a threat to ecosystem and human health. Our objective was to examine potential remediation strategies for both PETN-contaminated water and soil. Flow-through iron columns were used to determine the potential for using granular iron to degrade PETN in aqueous phase. PETN transformation in both a 100% iron column and a 30% iron and 70% silica sand column followed pseudo-first-order kinetics, with average half-lives of 0.26 and 1.58 minutes, respectively. Based on the identified intermediates and products, the reaction pathway was proposed to be a sequential denitration process, in which PETN was stepwisely reduced to pentaerythritol with the formation of pentaerythritol trinitrate (PETriN) and pentaerythritol dinitrate (PEDN). Although pentaerythrito mononitrate was not detected, an approximately 100% nitrogen mass recovery indicated that all nitro groups were removed from PETN. Nitrite was released in each denitration step and subsequently reduced to NH4+ by iron. Nitrate was not detected during the experiment, suggesting that hydrolysis was not involved in PETN degradation. Furthermore, batch experiments showed that PETN dissolution was likely a rate-limiting factor for PETN degradation, especially in the case with high amount of iron. Using 50% methanol as a representative co-solvent, PETN solubility was greatly enhanced and thus the removal efficiency was improved. The results demonstrate the use of granular iron to remediate PETN-contaminated water. The biodegradability of aqueous PETN was examined with a mixed microbial culture from a site contaminated with PETN. The mixed culture was enriched and selected using a mineral medium containing acetate and yeast extract as carbon and nutrient sources in the presence of nitrate or sulfate. The final enrichment cultures were used as inocula for studying PETN biodegradation under nitrate-reducing and sulfate-reducing conditions. In addition, PETN degradation was tested using the original microbial culture under the mixed electron acceptor conditions of nitrate and sulfate. The results showed that under all conditions tested, PETN was sequentially reduced, apparently following the same pathway as the abiotic reduction by granular iron. Pentaerythritol mononitrate, a suspected intermediate in the abiotic degradation by iron, was identified in this experiment. The presence of nitrate seemed not to affect the kinetics of PETN degradation, with both PETN and nitrate degrading simultaneously. However, the rate of nitrate reduction was much faster than PETN degradation. With respect to sulfate, its presence did not have an adverse effect on PETN degradation, indicated by the very similar degradation rates of PETN in the presence and absence of sulfate. Under all conditions, PETN appeared to act as a terminal electron acceptor for energy generation during biodegradation. A utilization sequence by bacteria in the order of nitrate, PETN, PETriN, PEDN and sulfate was clearly observed. The study in this phase demonstrated that under anaerobic conditions, with carbon sources provided, PETN can be effectively biodegraded by indigenous bacteria in contaminated soil, most likely by denitrifying bacteria. Based on the successful demonstration of abiotic and biotic degradation of PETN in the aqueous phase, both methods were further tested for remediating PETN-contaminated soil in both laboratory and pilot scale. In the laboratory, a systematic soil microcosm experiment was conducted using soil from a contaminated site and additions of either granular iron or organic materials, with deoxygenated Millipore water. Because of the high concentration in the contaminated soil, solid-phase of PETN was initially present in the microcosms. Two types of DARAMEND products, D6390Fe20 (containing 20% iron + 80% botanical materials) and ADM-298500 (100% botanical materials), were used as sources of carbon and other nutrients. During the 84-day incubation period, more than 98% was removed in all DARAMEND treatments, following pseudo-first-order kinetics with half-lives ranging between 8 and 18 days. The results clearly demonstrated that PETN can be effectively degraded under anaerobic conditions with the addition of carbon and possibly nutrients. As in the aqueous tests, the sequence of microbial utilization was nitrate followed by PETN and sulfate. In contrast to the tests with aqueous PETN, iron was not effective in removing PETN in the contaminated soil, due to iron passiviation caused by the presence of high levels of nitrate in the soil. In addition, a slight enhancement was observed in a combined system of iron and biodegradation over biodegradation only. However, the extent of enhancement is not believed to be significant relative to the extra cost for iron addition. A pilot scale test was conducted at a PETN-contaminated site at Louviers, CO, a waste pond which had received waste water from PETN manufacture for over 20 years. The test involved 10 treatments, one control without amendment, one amended with iron (10%), eight with different types and amounts of organic carbon (1%, 2% and 4% of D6390Fe20; 2% and 4% of ADM-298500 and 1%, 2% and 4% of brewers grain). Each treatment was performed in a plastic tub (45 cm wide × 90 cm long × 25 cm deep), containing approximately 18 cm thick layer of soil and 6-8 cm of standing water. Over 74 days, very little consistent reduction of PETN was found in the iron treatment, which was also due to iron passivation in the presence of nitrate in the soil. In contrast, significant removal of PETN (11,200 to 33,400 mg/kg) was observed in the treatments amended with organic materials, and the extent of removal increased with increasing amounts of organic materials. The pilot test was consistent with the results of the laboratory experiments for iron and biodegradation with carbon addition. For biological treatment, the stoichiometric estimation suggests that the complete remediation in many of the treatments will be ultimately limited by carbon sources. Results of this study showed the great potentials of using granular iron to degrade PETN in solution and using indigenous bacteria present in contaminated soils to biodegrade PETN in both the solution and soil phase. Both iron and biodegradation with carbon addition represent viable approaches for remediation of PETN-contaminated water and soil, though iron may not be appropriate in the presence of high concentration of nitrate.

There is an alarming increase of explosions with devastating consequences, the ultimate being loss of life. Furthermore, these kinds of substances have a toxic effect on animals, nature and humans if they are incorrectly disposed. In order to counteract the rising trend and increase the feeling of security within the society, the Swedish Defense Research Agency (FOI) has started a new project which in the future might be used by the police in order to prevent possible terrorist attacks. The aim with this new project is to perform trace analysis of explosives in wastewater in order to receive an indication of where illegal production of explosives takes place. This method has the potential to be used for other matrixes, such as soil instead of wastewater or other water matrixes, thereby exposing possible harmful and contaminated places.   The aim with this thesis was to develop a method for an Ultra-High-Performance Liquid Chromatography (UHPLC) instrument in order to perform trace analysis of explosives in wastewater. Furthermore, the aim was also to develop a method for an automated solid phase extraction (SPE) instrument for sample clean-up. Lastly mass spectrometry was performed with a triple-quadrupole. A performance analysis was made for the developed UHPLC-method which resulted in a good repeatability. Furthermore, several experiments were conducted on the SPE-instrument in order to receive a yield close to 100%. The different experiments included comparison between the most beneficial eluent, volume of eluent and evaporation step. The highest yield was received with 3 ml acetonitrile without any evaporation step. A performance analysis was made of the developed method for the SPE-robot, which resulted in a good accuracy and precision. In hopes of lowering the detection limit, mass spectrometry was conducted by a preciously validated instrument based at FOI. A lower detection limit was received for all substances; R-salt 0,025 µg/ml, TNT 0,094 µg/ml and PETN 0,103 µg/ml.

PETN is characterized by its sensitivity to environmental conditions. However, anhydrous low-temperature decomposition is poorly understood. This research undertook the search for the decomposition products of naturally aged PETN. This study did not detect any decomposition products. The methods tried were NMR, HPLC, mass spectrometry, and HPLC. PETN's behavior was sensitive to mass spectral conditions and resulted in adduct formation and artifactual decomposition. Artifacts could be sources of misinterpretation for true decomposition. Such behaviors included PETN's autonitration and nitrate's clinging to instrument surfaces. Additionally, PETN seemed able to autooxidize which produced an [M] − ion and [M+H] − ion that obscured isotopic information. Conditions that enhanced the abundance of the [M−H] − ion also increased PETN artifactual decomposition. Because an ion at m/z 330 could represent PETRIN, it was studied and candidated to be an artifact. This PETRIN-acetate isobar was formed from PETN in the presence of acetate. An illusion that a new mass at m/z 330 materialized could be due to spray chamber temperatures. The ion stayed relatively constant throughout a temperature increase while the abundance for other PETN ions decreased. This created an illusion of increasing abundance when the mass spectrum was displayed in normalized mode. An HPLC gradient of acetonitrile/water with addition of 3% NH 4 OH and 0.1 M ammonium acetate in methanol produced chromatographic peaks. However, these species were artifacts formed in the presence of hydroxide ion. Hydroxide accelerated the disappearance of the ion at m/z 315, but not the ion at m/z 378. A second HPLC system used an acetonitrile/water gradient with added 3.3 M ammonium acetate in methanol. However, no difference between PETN and naturally aged PETN chromatograms was evident. In an additional experiment, with the HPLC effluent collected in aliquots and analyzed separately, no condensed phase decomposition product was observed. Because the NMR, HPLC and mass spectrometry experiments did not detect condensed phase decomposition products, the decomposition products might be gas(es). In support, the explosives HMX and RDX are known to decompose in gas phase reactions. It is reasonable that naturally aged PETN proceeds through the same mechanism. The findings of this dissertation supported this viewpoint.

No / The terahertz frequency spectrum of pentaerythritol tetranitrate (PETN) is calculated using Discover[1] with the COMPASS[2] force field, CASTEP[3] and PWscf.[4] The calculations are compared to each other and to terahertz spectra (0.3-3 THz) of crystalline PETN recorded at 4 K. A number of analysis methods are used to characterise the calculated normal modes.

Topical inquiries for the Swedish Defence Research Agency (FOI) include analysis of explosive substances in different sample types. Research into explosives in complex matrixes can provide an analytical support function for forensic investigation i.e. tools for areas such as finding bomb factories, identification and risk analysis of home-made explosives (HME) and improvised explosive devices (IED) as well as preventive measures against maliciously intended use of explosives. Additionally, the research may lay the groundwork for indications of health- and environmental hazards. Utilizing state-of-the-art equipment and years of extensive expertise, FOI is able to carry out these types of research tasks to provide security and sustainability for society. The aim of this thesis project is to establish and validate developed methods for collecting, extracting, separating, and detecting trace amounts of explosives in various bodies of water using a solid-phase extraction (SPE) robot and a high-resolution (HR) mass spectrometer (MS) connected to an ultra-high-performance liquid chromatograph (UHPLC). Particular areas of interest include locations in the Stockholm archipelago where experimental detonations of explosives have taken place. Overall, UHPLC-HRMS analysis provides a powerful tool for analyzing explosives in complex matrixes with unambiguous and reliable measurement data. The compounds of investigation were hexogen (RDX), octogen (HMX), pentyl (PETN), and trotyl (TNT). To summarize, during the course of the thesis, trace amounts of some explosives were detected and quantified in various bodies of water. Furthermore, the applied method for the project was successful in qualitatively and quantitatively analyze the compounds of interest with limit of detection ranging between 0.33–11 μg/L (ppb) in various water sources.

Modelling the full event of an underwater explosion (UNDEX) is complex and requires advanced modelling methods in order to achieve accurate responses. The process of an UNDEX includes a series of events that has to be considered. When a detonation is initiated, a shock-wave propagates and the rest products from the explosive material creates a gaseous bubble with high pressure which pulsates and impacts the surroundings. Reflections of the initial shock-wave can also appear if it hits the sea floor, water surface or other obstacles. There are different approaches how to numerically model the impact of an UNDEX on a structure, some with analytical approaches without a water domain and others where a water domain has to be modelled. This master’s thesis focuses on two modelling methods that are available in the finite element software LS-DYNA. The simpler method is called Sub-Sea Analysis (SSA) and does not require a water domain, thus it can be beneficial to use in an early design stage, or when only approximated responses are desired. To increase the accuracy, a more complex method called S-ALE can be used. By implementing this method, the full process of an UNDEX can be studied since both the fluid domain and explosive material are meshed. These methods are studied separately together with a combination of them. Another important aspect to be considered is that oscillations of a structure submerged in water differs from the behavior it has in air. Depending on the numerical method used, the impact of the water can be included. Natural frequencies of structures submerged in water are studied, how it changes and how the methods takes this into account. To verify the numerical models, experiments were executed with a cylindrical test object where the distance and weight of charge were altered through out the test series. It was found that multiple aspects affects the results from the experiments, that are not captured in the numerical models. These aspects have for instance to do with reflections, how accurate the test object is modelled and the damping effects of the water. It is concluded that the numerical models are sensitive when small charges and fragile structures are studied. High frequency oscillations were not triggered in the experiment but found for both methods. It should be further investigated if the methods are more accurate for larger charges and stronger structures. Experiments with larger water domain would also be beneficial to reduce effects from reflections, as well as a more accurate model of the cylinder in the simulations.

Der Sprengstoff PETN ist äußerst schwer zu detektieren. Ein verbesserter anti-PETN-Antikörper wurde durch Anwendung des Bioisosterie-Konzepts entwickelt. Diese polyklonalen IgGs sind sehr selektiv und sensitiv. Die Nachweisgrenze des ELISAs beträgt 0,15 µg/L. Der Messbereich des Immunoassays liegt zwischen 1 und 1000 µg/L. Die Antikörper sind recht pH-stabil als auch robust gegen Lösungsmittelzusätze. Für die Umweltanalytik von TNT wurde eine HPLC-kompatible Affinitätssäule mit porösem Glas als Trägermaterial hergestellt. Um die anti-TNT-Antikörper selektiv aus den TNT-Seren zu isolieren, wurde eine Trennung an einer Dinitrophenyl-Affinitätssäule durchgeführt. Zur Optimierung der Kopplungsmethode wurden orangefarbene Dabsyl-Proteine synthetisiert und auf der Oberfläche gebunden. Die Färbung wurde als Indikator für die Ligandendichte verwendet. Wegen der hohen Affinitätskonstanten der anti-TNT-IgGs lässt sich TNT nicht reversibel von der TNT-Affinitätssäule eluieren. Daher wurde eine neuartige Elutionsmethode entwickelt, die thermische Online-Elution. Die maximale Kapazität einer TNT- Affinitätssäule betrug 650 ng TNT bzw. 10 µg/mL Säulenvolumen. Um die Ligandendichte der TNT-Affinitätssäulen zu bestimmen, wurde ein neues Verfahren entwickelt, da die spektroskopischen Proteinbestimmungsmethoden nicht geeignet waren. Zur Proteinbestimmung wurde eine HPLC-Trennung der Aminosäuren Tyr und Phe ohne vorherige Derivatisierung entwickelt. Die Proteinhydrolysezeit wurde durch Einsatz einer Mikrowelle von 22 h auf 30 min verkürzt. Zur internen Kalibrierung wurden HTyr und FPhe verwendet. Die Nachweisgrenze bei 215 nm ist sowohl für Tyr als auch für Phe 0,05 µM (~ 10 µg/L). Dieses neue Verfahren, das als Aromatische Aminosäureanalyse (AAAA) bezeichnet werden kann, wurde zur Proteinbestimmung von homogenen Proben mit NIST-BSA validiert, wobei die Nachweisgrenze für Proteine 16 mg/L (~ 300 ng BSA) ist. Die relative Standardabweichung incl. der Hydrolysestufe beträgt 5%. / The explosive Pentaerythritol tetranitrate (PETN) is extremely difficult to detect. An improved antibody against PETN was developed by using the bioisosteric concept. These polyclonal antibodies are highly selective and sensitive. The limit of detection (LOD) of the ELISA was determined to be 0.15 µg/L. The dynamic range of the assay was found to be between 1 and 1000 µg/L. The antibodies are sufficiently pH-stable and resistant to solvent additives. An HPLC-compatible TNT-affinity column with porous glass as support material was prepared for the environmental analysis. In order to isolate the anti-TNT antibodies of the TNT sera a separation was carried out on a dinitrophenyl-affinity column. To optimize the immobilization method, orange-coloured dabsyl proteins were synthesized and bound to the surface. The colour intensity was found to be an indicator for the immobilization rate. In consequence of the high affinity constants of the anti-TNT antibodies, TNT can''t elute by a typical acidic elution step. Therefore, a novel separation approach, the thermal online-elution was developed. The maximum capacity of an affinity column was 650 ng TNT or 10 µg/mL of column volume. To quantify the immobilization rate of proteins, a new method has been developed, because the usual protein determination methods were unsuitable. Therefore an HPLC separation method of Tyr and Phe was developed without prior derivatization. Two internal standard compounds, HTyr and FPhe, were used for calibration. The LOD was estimated to be 0.05 µM (~ 10 µg/L) for Tyr and Phe at 215 nm. The protein hydrolysis time was reduced from 22 h to 30 min using microwave technique. This procedure, that was termed aromatic amino acid analysis (AAAA), has been validated for protein determination of homogeneous samples with NIST-BSA. The LOD for proteins was calculated to be below 16 mg/L (~ 300 ng BSA absolute). The relative standard deviation, including the hydrolysis step, is 5%.

<p dir="ltr">We investigate the crystal plasticity and shock response of single crystal and polycrystalline pentaerythritol tetranitrate (PETN) using mesoscale finite element simulations. The model includes the Mie-Grüneisen Equation of State and a single crystal plasticity model. Simulations with single crystals with different orientations are tested using our plasticity model under shock compression to explore shear stress and slip. Parameters regarding the Mie-Grüneisen Equation of State are also verified in various orientations from 0.50 to 1.75 km/s. A polycrystalline PETN sample with varying grain sizes and orientations are subjected to shock loading with impact velocities ranging from 0.25 to 0.75 km/s. We study how differences in shock orientation affect slip and stress in PETN at different shock strengths.</p>