The Measurement of Muscle Protein Synthesis in Broilers with a Flooding Dose Technique: Use of 15N-Labelled Phenylalanine,GC-MS and GC-C-IRMS

Abstract

An experiment was carried out to measure fractional muscle protein synthesis rates (k _s ) in broilers with injection of a flooding dose of phenylalanine (1 ml/100 g body weight of 150 mM phenylalanine; 38 atom percent excess (APE) [¹⁵N]phenylalanine). K _s was calculated from the [¹⁵N] enrichment in phenylalanine of tissue-free and protein-bound phenylalanine using both gas chromatography mass spectrometry (GC-MS) and gas chromatography combustion isotope ratio mass spectrometry (GC-C-IRMS) for measurements after a 10 min isotope incorporation period.

The tertiary-butyldimethylsilyl (t-BDMS) derivatives of phenylalanine were used for gas chromatographic separation in both systems. GC-MS and GC-C-IRMS were calibrated for a range of 7 to 37 [¹⁵N]APE and 0 to 0.62 [¹⁵N]APE, respectively, and for sample sizes of 0.45 to 4.5 nmol phenylalanine and 7 to 40 nmol phenylalanine, respectively. Reproducibility of standards as a measure of precision varied from 0.06 to 0.29 [¹⁵N]APE and from 0.0004 to 0.0018 [¹⁵N]APE in GC-MS and GC-C-IRMS, respectively.

K _s was measured in the m. pectoralis major of broilers fed rye based diets (56%) which were provided either unsupplemented (-) or supplemented (+) with an enzyme preparation containing xylanase. K _s in breast muscles was significantly increased from 21.8%/d to 23.9%/d due to enzyme supplementation.

It can be concluded from the study that the measurement of protein synthesis in broilers with the flooding dose technique can be carried out by using [¹⁵N]phenylalanine, GC-MS and GC-C-IRMS.     

15N/14N Analysis of Amino Acids with GC-C-IRMS - Methodical Investigations and Ecotoxicological Applications

Abstract

In order to perform the ¹⁵N/¹⁴N analysis of amino acids using a gas chromatograph and isotope ratio mass spectrometer linked up via a combustion interface (GC-C-IRMS), the amino acids must be derivatized. Tert-butyldimethylsilylation is examined using various techniques (direct conversion to nitrogen gas, ConFlo-IRMS [1], GC-C-IRMS [2]) and subsequently applied to isotopic characterization of amino acids from wheat protein hydrolyzate obtained from plants exposed to ozone. The method provides a reliable tool for studying ecotoxicological effects on plants at a molecular level in addition to the investigation of the natural variations of different N fractions.     

Long term changes in the distribution and delta(15)N values of individual soil amino acids in the absence of plant and fertiliser inputs

The long-term 'biodegradation' on soil amino acids was examined in the control plots of '42 parcelles' experiment, established in 1928 at INRA, Versailles (France). None of the plots is cultivated, but is kept free of weeds, and mixed to a depth of 25 cm twice yearly. Topsoil (0-10 cm depth) samples collected in 1929, 1963 and 1997 were subjected to acid hydrolysis (6 N HCl) for comparison. The distribution and delta(15)N natural abundance of 20 individual amino acids in the soils were determined, using ion chromatography (IC) and gas chromatography-combustion-isotope ratio mass spectrometry (GC-C-IRMS). The total N and amino acid-N (AA-N), respectively, decreased by 54 % and 73 % in the period from 1929 to 1997. The average N loss was comparable for 1929-1963 (period 1) and 1963-1997 (period 2), but AA-N loss was three times faster in the former period. This significant reduction in total AA-N content was mirrored in the individual amino acids, which decreased by 74 % +/- 1 % (ranging 58-89 %) between 1929 and 1997. The bulk delta(15)N values generally increased from 1929 to 1997, mainly associated with comparable or even higher increase of delta(15)N of the non-AA-N in the soil. The residence time (t(1/2), time in which half of N was lost from a specific soil pool) was ca. 65 +/- 5 years for the bulk soil, and comparable for periods 1 and 2. However, between periods 1 and 2 it decreased from 128 to 41 years in the non-AA pool, but increased from 59 to 92 years in the AA-N pool. Proline and amino acids that appear early in soil microbial metabolic pathways (e.g. glutamic acid, alanine, aspartic acid and valine) had relatively high delta(15)N values. Phenylalanine, threonine, glycine and leucine had relatively depleted delta(15)N values. The average delta(15)N value of the individual amino acids (IAAs) increased by 1delta unit from 1929 to 1997, associated with a similar rise from 1929 to 1963, and no change thereafter till 1997. However, the delta(15)N values of phenylalanine decreased by more than 7delta(15)N units between 1929 and 1997. The delta(15)N shift of IAAs from 1929 to 1963 and from 1929 to 1997 was not influenced by the relative amount of N remaining compared with the 1929 soil concentrations. The only exception was phenylalanine which showed decreasing delta(15)N associated with its decreasing concentration in the soil. We conclude therefore that in the absence of plant and fertiliser inputs, no change in the delta(15)N value of individual soil amino acids occurs, hence the original delta(15)N values are preserved and diagnostic information on past soil N (cycling) is retained. The exception was phenylalanine, its delta(15)N decreased with decreasing concentration from 1929 to 1997, hence it acted as a 'potential' marker for the land use changes (i.e. arable cropping to a fallow). The long term biological processing and reworking of residual amino acids resulted in a (partial) stabilisation in the soil, evidenced by reduced N loss and increased residence time of amino acid N during the period 1963-1997.     

Incorporation of 15NO2 Nitrogen into Individual Amino Acids by Sunflowers Using Gc-C-Irms

Abstract

The nitrogen isotopic composition of individual amino acids in sunflower leaves after exposures to ¹⁵NO₂ in the range of ambient NO₂ concentrations (5–37 ppb) was analysed by Gas Chromatography-Combustion-Isotope Ratio Mass Spectrometry (GC-C-IRMS). Amino acids as well as the amides glutamine and asparagine were converted with MTBSTFA (N-methyl-N-(tert.-butyldimethylsilyl)-tri-fluoroacetamid) in pyridine to their corresponding TBDMS derivatives (N, O-tert.-butyldimethylsilyl) in a simple one-step silylation reaction. The derivatized amino acids were separated by gas chromatography, combusted on-line, and the products were sent continuously to an isotope ratio mass spectrometer. Accurate measurements were obtained, when more than 7 nmol N₂ were introduced into the ion source of the mass spectrometer per gas chromatographically separated and combusted compound. No interferences of the silicate and fluor containing derivatization agents on the performance of the system were observed.

In the range of ambient NO₂ concentrations sunflower leaves predominately incorporate the nitrogen derived from atmospheric NO₂ into soluble amino acids. The highest δ¹⁵N values were measured for alanine. The ¹⁵N enrichments of the detectable amino acids increased with increasing ¹⁵NO₂ concentration.     

Determination of 13C Enrichment by Conventional GC-MS and GC-(MS)-C-IRMS

Abstract

Isotopic enrichment of branched-chain L-amino acids (BCAA) and branched-chain 2-oxo acids (BCOA) in standard preparations and in human plasma samples withdrawn after oral loads with 1-¹³C labelled BCAA were measured on a conventional GC-MS system and an on-line GC-C-IRMS employing O-TMS quinoxalinol derivatives. It was concluded that the recently introduced GC-C-IRMS, owing to its high sensitivity, is the adequate analytical tool when tracer doses of stable isotope labelled compounds of low enrichment are to be used in biomedical in vivo studies.     

Sample preparation techniques for the determination of natural 15N/14N variations in amino acids by gas chromatography-combustion-isotope ratio mass spectrometry (GC-C-IRMS)

In order to identify natural nitrogen isotope variations of biologically important amino acids four derivatization reactions (t-butylmethylsilylation, esterification with subsequent trifluoroacetylation, acetylation and pivaloylation) were tested with standard mixtures of 17 proteinogenic amino acids and plant (moss) samples using GC-C-IRMS. The possible fractionation of the nitrogen isotopes, caused for instance by the formation of multiple reaction products, was investigated. For biological samples, the esterification of the amino acids with subsequent trifluoroacetylation is recommended for nitrogen isotope ratio analysis. A sample preparation technique is described for the isotope ratio mass spectrometric analysis of amino acids from the non-protein (NPN) fraction of terrestrial moss. 14N/15N ratios from moss (Scleropodium spec.) samples from different anthropogenically polluted areas were studied with respect to ecotoxicologal bioindication.     

GC-MS-gestützte Synthese und Qualitätskontrolle von 15N-markiertem Stickstoffmonoxid mit hoher 15N-Häufigkeit für umweltrelevante Tracer-Untersuchungen

Abstract

[¹⁵N]nitric oxide for investigations on the effect of nitric oxide in biological systems can be synthesized economically from the commercially available [¹⁵N]nitric acid. Difficulties arise, however, for the preparation of highly enriched ¹⁵N-labelled nitric oxide on a lower mmol scale. These difficulties are caused by oxygen and result in both, yield depression and insufficient long-time stability of the NO-containing gas mixture due to its oxidation to NO₂. Therefore, a sensitive in situ oxygen detection during synthesis was carried out by on line coupling of the synthesis apparatus with a GC-MS. Additionally, this equipment offers the advantage that both, conversion and ¹⁵N enrichment may be measured almost continuously and simultaneously. In this way, the yield can be increased up to 85% without increasing by-products. The gas mixture prepared from this [¹⁵N]nitric oxide showed an adequate stability for several months at a concentration of about 100 ppm(v) NO.     

Nitrogen-15 fractionation in the thermal decomposition of nitrous oxide of natural isotopic composition

The 15N fractionation in the thermal decomposition of nitrous oxide (N2O) of natural isotopic composition has been investigated in quartz reaction vessel in the temperature interval 888-1073 K. The formulas relating the observed experimentally 15N fractionations with the primary 15N kinetic isotope effect, (k14/k15)p for 14N15N16O, and secondary 15N kinetic isotope effect, (k14/k15)s for 15N14N16O, have been derived. The experimentally estimated 15N kinetic isotope effects have been compared with the primary and secondary 15N kinetic isotope effects calculated with the absolute rate theory formulations applied to linear three atom molecules. A good agreement was found for the primary 15N kinetic isotope effect, (k14/k15)p, in the temperature interval 888-1007 K. But at 1073 K the decompositions of N2O, accompanied by NO (nitric oxide) formation proceed with a twice times smaller primary kinetic isotope effect, (k14/k15)p of 1.0251 +/- 0.0009, only, suggesting the nonlinear transition state structures with participation of the fourth external atom at high temperature decompositions of nitrous oxide. The nitrogen isotope effects determined in this study correlate well with nitrogen isotope fractionations observed in the natural biological, earth and atmospheric processes.     

Estimation of protein synthesis rates using the flooding method and [15N] lysine

After injection of a single dose of double labelled lysine (1 MBq L-[u-¹⁴C]lysine and 150 μmol L-[α¹⁵N]lysine (95 atom% ¹⁵N)) to growing rats the fractional protein synthesis rates (FSR) of some organs were estimated by the “large dose-” or “flooding method”. Data obtained with both substances were compared and the following conclusions can be drawn:

—In principle lysine is suited as a flooding substance.

—In flooding experiments [¹⁴C]lysine and [¹⁵N]lysine gave identical FSR-values for the investigated organs.

—By application of [¹⁵N]lysine instead of the ¹⁴C labelled amino acid as flooding substance this method is suited for larger animals (pigs, sheep, ruminants) too, because of the absence of any radioactive burden.

Nach einmaliger Verabfolgung von doppelt markiertem Lysin (1 MBq L-[u-¹⁴C]Lysin und 150 μmol L-[α¹⁵N]Lysin (95 Atom% ¹⁵N)) an wachsende Ratten wurden nach der “Large dose-” oder “Flooding-Methode” die fraktionellen Proteinsyntheseraten (FSR) einiger Organe bestimmt und die für beide Substanzen erhaltenen Werte verglichen. Es ergaben sich folgende Schlußfolgergungen:

—Lysin ist grundsätzlich als Flooding-Substanz geeignet.

—[¹⁴C]Lysin und [¹⁵N]Lysin ergeben im Floodingversuch am gleichen Tier für die FSR der Organe identische Werte.

—Durch den Fortfall der radioaktiven Belastung bei Einsatz von [¹⁵N]Lysin anstelle von [¹⁴C]Lysin als Flooding-Substanz ist die Methode auch bei Croßtieren anwendbar.     

The Fate of [15N]Ammonium and [15N]Nitrate in the Soil of a 140-Year-Old Spruce Stand (Picea Abies) in the Fichtelgebirge (NE-Bavaria)

Abstract

A ¹⁵N tracer-experiment was carried out in a 140-year-old spruce stand (Picea abies (L.) Karst.) in the Fichtelgebirge (NE-Bavaria, Germany). Highly enriched (98 at%) [¹⁵N]ammonium and [¹⁵N]nitrate were applied as tracers by simulation of a deposition of 41.3 mol N ha^?1 with 11 water m^?2. To examine seasonal variations of uptake by spruce and understorey vegetation, different plots were labelled in spring, summer and autumn 1994.

One aim of the present study was to perfect a method of preparation of soil extracts for isotope ratio mass spectrometry (IRMS) measurements. Ammonium and nitrate from soil extracts were prepared for IRMS measurements by steam distillation and subsequent freeze drying. Additionally, tracer distribution and transformations in the soil nitrogen pools were examined. Ammonium, nitrate and total nitrogen were examined in the organic layer and the upper 10 cm of the mineral soil during 3 months after the first tracer application in spring 1994.

In July 1994, three months after tracer application, 40% of the [¹⁵N]ammonium label and 29% of the [¹⁵N]nitrate label, respectively, were recovered in the total N pool of the investigated soil horizons. In the organic layer the L/Of horizon retained most of the recovered tracers. Nitrification, immobilisation and mineralisation occurred even under the conditions of high soil acidity at the study site.     

Sample preparation techniques for the determination of natural 15N/14N variations in amino acids by gas chromatography-combustion-isotope ratio mass spectrometry (GC-C-IRMS)

In order to identify natural nitrogen isotope variations of biologically important amino acids four derivatization reactions (t-butylmethylsilylation, esterification with subsequent trifluoroacetylation, acetylation and pivaloylation) were tested with standard mixtures of 17 proteinogenic amino acids and plant (moss) samples using GC-C-IRMS. The possible fractionation of the nitrogen isotopes, caused for instance by the formation of multiple reaction products, was investigated. For biological samples, the esterification of the amino acids with subsequent trifluoroacetylation is recommended for nitrogen isotope ratio analysis. A sample preparation technique is described for the isotope ratio mass spectrometric analysis of amino acids from the non-protein (NPN) fraction of terrestrial moss. ¹⁴N/¹⁵N ratios from moss (Scleropodium spec.) samples from different anthropogenically polluted areas were studied with respect to ecotoxicologal bioindication.     

Enzymatic synthesis of some 15N-labelled l-amino acids

Our group has developed a stereospecific enzymatic method, which is very efficient for the in vitro synthesis of l-[¹⁵N]serine, l-[¹⁵N]methionine and l-[¹⁵N]glutamic acid. These amino acids were prepared from the corresponding α -ketoacids in the suitable enzymatic systems. The bacterial NAD-dependent amino acid dehydrogenases alanin dehydrogenase, leucin dehydrogenase and glutamate dehydrogenase were used as catalysts. Glucose dehydrogenase was used for the regeneration of NADH and ¹⁵NH₄Cl as isotopically labelled material at 99 at.% ¹⁵N. All reactions are inexpensive and easy to perform on a synthetically useful scale (1-10g) giving high yields of l-amino acids. The ¹⁵N isotope content was determined by mass spectrometry.     

15N-Traceruntersuchungen zum Mechanismus der N2O-Bildung in Böden

Nitrous oxide is a potential environmental hazard responsible for the green house effect and the destruction of the ozone layer in the lower stratosphere. Biological denitrification under anaerobic conditions in soils results in the formation of both N₂O and N₂, whereby highly nitrogen-fertilized agricultural soils contribute to a considerable extent of the N₂O emission. Latest results in the literature indicate that nitrous oxide can also be formed as a byproduct of the microbial nitrification. This is of importance for soils in central Germany because of the non-existence of typical denitrification conditions in a semiaride climate.

This study was conducted to measure the path of N₂O formation in Haplic Phaeozen: using [¹⁵N] ammonium and [¹⁵N] nitrat and a GC-MS aided incubation system. The kinetic isotope method was used to evaluate the experimental data. The results are:

- Under anaerobic conditions (～ 90% of the water holding capacity = WHC) N₂O originates mainly from the nitrate pool by denitrification.

- As expected, the N₂O formation is low under aerobic conditions (～ 80% WHC) but the gas originates directly from the ammonium and not from the nitrate pool, probably as a byproduct of the nitrification process.     

The Fate of [(15)N]Ammonium and [(15)N]Nitrate in the Soil of a 140-Year-Old Spruce Stand (Picea Abies) in the Fichtelgebirge (NE-Bavaria)

Abstract A (15)N tracer-experiment was carried out in a 140-year-old spruce stand (Picea abies (L.) Karst.) in the Fichtelgebirge (NE-Bavaria, Germany). Highly enriched (98 at%) [(15)N]ammonium and [(15)N]nitrate were applied as tracers by simulation of a deposition of 41.3 mol N ha(-1) with 11 water m(-2). To examine seasonal variations of uptake by spruce and understorey vegetation, different plots were labelled in spring, summer and autumn 1994. One aim of the present study was to perfect a method of preparation of soil extracts for isotope ratio mass spectrometry (IRMS) measurements. Ammonium and nitrate from soil extracts were prepared for IRMS measurements by steam distillation and subsequent freeze drying. Additionally, tracer distribution and transformations in the soil nitrogen pools were examined. Ammonium, nitrate and total nitrogen were examined in the organic layer and the upper 10 cm of the mineral soil during 3 months after the first tracer application in spring 1994. In July 1994, three months after tracer application, 40% of the [(15)N]ammonium label and 29% of the [(15)N]nitrate label, respectively, were recovered in the total N pool of the investigated soil horizons. In the organic layer the L/Of horizon retained most of the recovered tracers. Nitrification, immobilisation and mineralisation occurred even under the conditions of high soil acidity at the study site.     

Whole-body protein turnover in nephrotic subjects: a comparison between different degrees of proteinuria

In contrast to the increased hepatic albumin synthesis in subjects with proteinuria, little is known about the corresponding whole-body protein turnover rates (WPTR). The WPTR and the reutilisation rates (R) were investigated in 20 patients divided in three groups of different degrees of proteinuria (groups I-III: < 1, 1-3, > 3 g/m2/day, respectively). [15N]glycine was administered as a single oral pulse. Urine samples were taken over 2 days. After removing urinary proteins by trichloracetic acid, 15N-enrichment in the supernatant was measured by isotope ratio mass spectrometry. A three-compartment model was used to calculate WPTR and R, which showed a statistically significant difference between groups I and III (2.64 vs. 4.63 g/kg/day, and 70.4% vs. 80.8%, respectively, P < 0.01), whereas the net protein gain remained unchanged (0.13 vs. 0.22 g/kg/day). The higher the protein loss the higher the WPTR and the corresponding R. The severe protein loss provokes increased WPTR and R as well.     

Nitrogen stable isotope composition of leaves and roots of plants growing in a forest and a meadow

In controlled N-nutrition experiments, differences in delta15N composition of leaves and roots are regularly found. In this paper we report results from a survey of nitrogen stable isotope signatures of leaves and roots of 16 plant species growing under natural conditions in a meadow and a forest understorey, which differed in nitrate and ammonium availability. Significant differences between leaf and root were observed. The range of delta15N [leaf-root] values was -0.97 to +0.86 per thousand, small compared to published values from controlled N-nutrition experiment, but almost as large as the range of leaf delta15N values (-1.04 to +1.08 per thousand). Forbs showed the largest differences between leaves and roots and showed a significant difference with respect to habitat. Grasses and legumes did not show significant differences in delta15N [leaf-root] between the two habitats. Care must be taken when using leaf delta15N values as representative for whole-plant 15N composition in these two habitats.     

Long term changes in the distribution and δ15N values of individual soil amino acids in the absence of plant and fertiliser inputs

The long-term ‘biodegradation’ on soil amino acids was examined in the control plots of ‘42 parcelles’ experiment, established in 1928 at INRA, Versailles (France). None of the plots is cultivated, but is kept free of weeds, and mixed to a depth of 25 cm twice yearly. Topsoil (0–10 cm depth) samples collected in 1929, 1963 and 1997 were subjected to acid hydrolysis (6 N HCl) for comparison. The distribution and δ¹⁵N natural abundance of 20 individual amino acids in the soils were determined, using ion chromatography (IC) and gas chromatography–combustion–isotope ratio mass spectrometry (GC–C–IRMS). The total N and amino acid-N (AA-N), respectively, decreased by 54 % and 73 % in the period from 1929 to 1997. The average N loss was comparable for 1929–1963 (period 1) and 1963–1997 (period 2), but AA-N loss was three times faster in the former period. This significant reduction in total AA-N content was mirrored in the individual amino acids, which decreased by 74 %?±?1 % (ranging 58–89 %) between 1929 and 1997. The bulk δ¹⁵N values generally increased from 1929 to 1997, mainly associated with comparable or even higher increase of δ¹⁵N of the non-AA-N in the soil. The residence time (t _1/2, time in which half of N was lost from a specific soil pool) was ca. 65?±?5 years for the bulk soil, and comparable for periods 1 and 2. However, between periods 1 and 2 it decreased from 128 to 41 years in the non-AA pool, but increased from 59 to 92 years in the AA-N pool. Proline and amino acids that appear early in soil microbial metabolic pathways (e.g. glutamic acid, alanine, aspartic acid and valine) had relatively high δ¹⁵N values. Phenylalanine, threonine, glycine and leucine had relatively depleted δ¹⁵N values. The average δ¹⁵N value of the individual amino acids (IAAs) increased by 1δ unit from 1929 to 1997, associated with a similar rise from 1929 to 1963, and no change thereafter till 1997. However, the δ¹⁵N values of phenylalanine decreased by more than 7δ¹⁵N units between 1929 and 1997. The δ¹⁵N shift of IAAs from 1929 to 1963 and from 1929 to 1997 was not influenced by the relative amount of N remaining compared with the 1929 soil concentrations. The only exception was phenylalanine which showed decreasing δ¹⁵N associated with its decreasing concentration in the soil. We conclude therefore that in the absence of plant and fertiliser inputs, no change in the δ¹⁵N value of individual soil amino acids occurs, hence the original δ¹⁵N values are preserved and diagnostic information on past soil N (cycling) is retained. The exception was phenylalanine, its δ¹⁵N decreased with decreasing concentration from 1929 to 1997, hence it acted as a ‘potential’ marker for the land use changes (i.e. arable cropping to a fallow). The long term biological processing and reworking of residual amino acids resulted in a (partial) stabilisation in the soil, evidenced by reduced N loss and increased residence time of amino acid N during the period 1963–1997.     

Microcombustion of ng Amounts of Carbon in Non-Volatile Materials for isotope Ratio Evaluation

Abstract

A novel microcombustion technique for carbon isotopic analysis of nanogram amounts of carbon in non-volatile materials based on isotope ratio monitoring (irm) mass spectrometry is described. Liquid or solid samples placed in a quartz sleeve are combusted at 1000°C in a continuous stream of helium and oxygen. CO₂ removed from the carrier gas stream by cryogenic trapping is transferred onto a GC column. Following GC separation, the CO₂ is transferred via an open split to the ion source of a gas isotope ratio mass spectrometer. Reproducibility for samples >25 nmol carbon is <1‰. Problems associated with blanks from various sources and with reproducible deposition of small sample amounts led to variable accuracy, which was dependent on the compound class being analysed. Minimum sample size was in the range from 5 to 10 nmol carbon. Measurements of dissolved organic carbon (DOC) of groundwater from Germany yielded consistent values of δ¹³C = -28.8‰.     

Microcombustion of ng Amounts of Carbon in Non-Volatile Materials for isotope Ratio Evaluation

Abstract A novel microcombustion technique for carbon isotopic analysis of nanogram amounts of carbon in non-volatile materials based on isotope ratio monitoring (irm) mass spectrometry is described. Liquid or solid samples placed in a quartz sleeve are combusted at 1000°C in a continuous stream of helium and oxygen. CO(2) removed from the carrier gas stream by cryogenic trapping is transferred onto a GC column. Following GC separation, the CO(2) is transferred via an open split to the ion source of a gas isotope ratio mass spectrometer. Reproducibility for samples >25 nmol carbon is <1‰. Problems associated with blanks from various sources and with reproducible deposition of small sample amounts led to variable accuracy, which was dependent on the compound class being analysed. Minimum sample size was in the range from 5 to 10 nmol carbon. Measurements of dissolved organic carbon (DOC) of groundwater from Germany yielded consistent values of δ(13)C = -28.8‰.     

Pair-Breaking Critical Current Density of Two-Band Superconductor MgB2

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