Airborne nitrogen input at four locations in the German State of Saxony-Anhalt--measurements using the 15N-based ITNI-system

The amount of atmospheric N deposition in Germany is actual rather uncertain. Estimates using standard methods indicate an N deposition of 30-35 kg N/ha x year. However, the results of long-term field experiments and newly by the ITNI (Integrated Total Nitrogen Input) system could prove a much higher N input of about 50-60 kg N/ha x year. The reason for this difference is that standard methods use wet-only or bulk collectors, which neglect gaseous and organic N deposition as well as direct N uptake by aerial plant parts. By contrast, the ITNI-system is able to measure the total atmospheric N input using the 15N isotope dilution method. The input of airborne N into a soil/ plant system leads to a dilution of the abundance of a previously applied 15N tracer over a defined time period. The atmospheric N deposition can be calculated from this dilution. To estimate the actual N input in Central Germany, ITNI measurements were carried out from autumn 1998 to autumn 2000 at four locations in the German state of Saxony-Anhalt. Atmospheric N depositions between 45 and 75 kg N/ha x year were determined depending on the location. These results closely match to N balances of long-term field experiments. Furthermore, a relationship was found between N deposition and the plant species used as well as plant development.     

Lysimeter Investigations on the Effect of Winter Catch Crops and Weeded Fallow on the N-Dynamics in a Sandy Treposol Soil of Northeast Germany

Abstract

Lysimeter experiments (soil: sandy treposol, from the region “Havelländisches Luch”, Brandenburg, Germany) with application of ¹⁵N labelled fertilizer (80 kg N per ha as ¹⁵NH₄ ¹⁵NO₃, 10 at.-%¹⁵N exc.; for simulating mineralization in the early autumn period) were carried out to determine to what extent the amount of mineral- N was temporary conserved by winter catch crops, taken up subsequently in the vegetation periods by following crops, taken by subsequently in the vegetation periods by following crops, or percolated in the leaching water, respectively. The results were as follows:

1) Until winter or spring respectively, the catch crop uptake rates of applied mineral-N were 32% for phacelia (Phacelia tanacetifolia BENTH.), 25% for winter rape (Brassica napus L. cv. ‘AKELA’), and 16% for white mustard (Sinapis alba L.).

2) In the year after, following maize incorporated from 2.1 to 4.5% of the fertilizerborne N. The following plant community of fallow took up from 0.2 to 0.5% N originating from the fertilizer-N.

3) In comparison with the catch crops, N-leaching losses under fallow conditions were highest and equivalent to 17% of the applied fertilizer-N amount. In contrast to 3% of white mustard, phacelia and winter rape reduced N-leaching losses to 0.2 and 0.3% of the applied fertilizer-N amount.

4) In spring of the first year after the beginning of investigations, N-leaching losses were highest under fallow conditions and white mustard cultivation. Thus, the amounts of nitrate losses would exceed the EU limit for drinking water.

5) Three years after the investigations had been started, 10% (white mustard) and 20% (fallow) of the applied fertilizer-N was still found in th lysimeter soil.     

Using the natural 15N abundance to assess the main nitrogen inputs into the sand dune area of the North-Western Negev desert (ISRAEL)

The variation of the natural ¹⁵N abundance is often used to evaluate the origin of nitrogen or the pathways of N input into ecosystems. We tried to use this approach to assess the main input pathways of nitrogen into the sand dune area of the north-western Negev Desert (Israel). The following two pathways are the main sources for nitrogen input into the system:

1. Biological fixation of atmospheric nitrogen by cyanobacteria present in biological crusts and by N₂-fixing vascular plants (e.g. the shrub Retama raetam);

2. Atmospheric input of nitrogen by wet deposition with rainfall, dry deposition of dust containing N compounds, and gaseous deposition.

Samples were taken from selected environmental compartments such as biological crusts, sand underneath these crusts (down to a depth of 90?cm), N₂-fixing and non-N₂-fixing plants, atmospheric bulk deposition as well as soil from arable land north of the sandy area in three field campaigns in March 1998, 1999 and 2000. The δ¹⁵N values measured were in the following ranges: grass ?2.5‰ to +1.5‰; R. reatam: +0.5‰ to +4.5‰; non-N₂-fixing shrubs +1‰ to +7‰; sand beneath the biological crusts +4‰ to +20‰ (soil depth 2–90?cm); and arable land to the north up to 10‰. Thus, the natural ¹⁵N abundance of the different N pools varies significantly. Accordingly, it should be feasible to assess different input pathways from the various ¹⁵N abundances of nitrogen. For example, the biological N fixation rates of the Fabaceae shrub R. reatam from the ¹⁵N abundances measured were calculated to be 46–86% of biomass N derived from the atmosphere. The biological crusts themselves generally show slight negative ¹⁵N values (?3‰ to ?0.5‰), which can be explained by biological N fixation. However, areas with a high share of lichens, which are unable to fix atmospheric nitrogen, show very negative values down to ?10‰. The atmospheric N bulk deposition, which amounts to 1.9–3.8?kg?N/ha?yr, has a ¹⁵N abundance between 4.4‰ and 11.6‰ and is likely to be caused by dust from the arable land to the north. Thus, it cannot be responsible for the very negative values of lichens measured either. There must be an additional N input from the atmosphere with negative δ¹⁵N values, e.g. gaseous N forms (NO _x , NH₃). To explain these conflicting findings, detailed information is still needed on the wet, particulate and gaseous atmospheric deposition of nitrogen.     

Measuring of the Integral Airborne Nitrogen-Input into a Soil-Plant System by the 15N-Isotope Dilution Method

Abstract

Airborne nitrogen-inputs so far have only been measured in single fractions (deposition on plant surfaces or on soil and direct absorption of nitrogen containing gases by plants) by intensive exposition experiments in gas chambers, measurement of wet and dry N-deposition in the field and very expensive micrometereological field measurements. It is very difficult to estimate any overall N-input with practical relevance from these single N-component measurements. In this introduced field experiment an isolated measuring system is labelled with a ¹⁵N-tracer since it is not possible to label the nitrogen compounds of the atmosphere (e.g. NH₃, NO_x) which are to be absorbed. Through the dilution of this ¹⁵N-tracer by nitrogen derived from the atmosphere the total input of airborne nitrogen is determined. As soil resembling substrate sand was used and summer wheat was planted. With the regular and automated irrigation of nitrogen-free nutrient solution and the collection of precipitation surpluses this system measured the total input of airborne nitrogen for one vegetation period.

The first application of the described system gave an airborne nitrogen input into the soil-plant system during a vegetation period of 10 weeks (April-June) of about 32 kg ha^?1.     

Characteristics of suspended matter in the River Sava watershed,Slovenia

A combination of C/N ratios, δ¹³C and δ¹⁵N values in suspended matter was used to examine the seasonal (late summer 2004 and spring 2005) relationship with hydrological characteristics of the River Sava watershed in Slovenia. The values of C/N ratios range from 1.2 to 19.1, δ¹³C values range from?29.2 to?23.0 ‰ and δ¹⁵N values from 0.5 to 16.7 ‰ and indicate that the samples are a mixture of two end members: modern soils and plant litter. A simple mixing model was used to indicate that soil organic carbon prevails over plant litter and contributes more than 50% of suspended material. The calculated annual particulate organic carbon flux is estimated as 5.2×10¹⁰ g C/year, the annual particulate nitrogen flux 8.5×10⁹ g N/year and the total suspended solid flux is estimated to be 1.3×10¹² g/year. Anthropogenic impact was detected only in a tributary stream of the River Sava, which is located in an agriculture–industrial area and is reflected in higher δ¹⁵N values in suspended matter and high nitrate concentrations in the late summer season.     

Aufnahme von 15NO2 und Einbau des 15NO2-Stickstoffs in verschiedene Stickstofffraktionen bei Sonnenblumen (Uptake of 15NO2 and Metabolic Transfer of the 15NO2 Nitrogen to Various Nitrogen Fractions of Sunflowers)

Abstract

Sunflowers were exposed to ¹⁵NO₂ at a range between 4,9 and 42,0 ppb. The ¹⁵NO₂ uptake was quantified and the fate of the ¹⁵N in different parts and pools of nitrogen was investigated. The very high δ¹⁵N-values of the free amino acid pool can't give an answer to the question whether the NO₂-nitrogen is incorporated by a different pathway, compared to the nitrogen which derives from root uptake. Or does a compartmentation of the nitrate pool in the plant cell cause a dilution of the ¹⁵N enrichment in the mineral nitrogen pool during sample preparation?     

Accuracy and Precision for Measurements of the Mass Ratio 30/28 in Dinitrogen from Air Samples and its Application to the Investigation of N Losses from Soil by Denitrification

Abstract

In the 1950s Hauck introduced a special version of the ¹⁵N dilution technique (¹⁵N flux method) for the determination of N losses from the soil by denitrification. Although this method is very useful and reliable its application has been rather infrequent up to now. This is mainly due to the need to measure the m/z 30 in addition to the usually measured m/z 28 and 29 for dinitrogen, because the ¹⁵N in the enriched air sample taken from an enclosure (cover box) at the soil surface is nonrandom. The signal from the m/z 30 is very low and difficult to measure with sufficient precision because other species (e.g. NO) also having the m/z 30 often interfere with its measurement. In this study the accuracy and precision of an easy to use CF-IRMS with sample batch operation to measure the ratio 30/28 was investigated. The relative standard deviation (RSD = precision) from natural abundance up to 2 at.% was always <1%. After correction of the mass ratio 30/28 (R30), by means of a formula obtained by linear regression of theoretical R30 against measured R30, the accuracy of the abundance calculated from this corrected R30 was very high. From the achieved precision and assuming a cover box height of 10 cm (headspace volume of 7 1), and a collection time of 2 h, a limit of detection for N₂ losses by denitrification equivalent to 16 g N/ha*d or 6 kg N/ha*a can be estimated. The performance of the ¹⁵N dilution method using the equipment and procedure described is demonstrated by means of results from an incubation experiment with [¹⁵N]nitrate-amended soils.     

Differential response of two Pinus spp. to avian nitrogen input as revealed by nitrogen isotope analysis for tree rings

Temporal variations in N concentration and δ¹⁵N value of annual tree rings (1 year of time resolution) of two Japanese Black Pine (Pinus thunbergii) and three Japanese Red Pine (Pinus densiflora) trees under current breeding activity of the Great Cormorant (Pharacrocorax carbo) and the Black-tailed Gull (Larus crassirostris), respectively, in central and northeastern Japan were studied. Both species from control sites where no avian input occurs show negative values (δ¹⁵N = around?4 ‰ to?2 ‰) which are common among higher plants growing under high rainfall regimes. The δ¹⁵N values of P. densiflora show uniformly positive values several years before and after the breeding event, indicating N translocation that moved the absorbed N of a given growth year to tree rings of the previous year while a clear historical value of soil N dynamics was kept intact in the annual rings of P. thunbergii. Long-term N trends inferred from tree rings must take into account tree species with limited translocation rates that can retain actual N annual acquisition.     

The Effect of Catch Crops on the 15N Nitrogen Percolation and Leaching During the Early Winter Period

Abstract

Lysimeter experiments with application of ¹⁵N in growth chambers were used to investigate to what extent the growth of oil radish can prevent by temporary biological N conservation the nitrogen percolation and leaching during late autumn and early winter periods. It could be shown that the oil radish plants incorporated 47% of the applied ¹⁵N and thus reduced substantially the ¹⁵N percolation to the deeper soil layers (60–100 cm) and the ¹⁵N leaching losses. Before giving final recommendations, the fate of the ¹⁵N contained in the oil radish must be examined in the late winter and early spring periods, after freezing of the plants.     

A New Approach to Determining the Content and 15N Abundance of Total Dissolved Nitrogen in Aqueous Samples: TOC Analyser-QMS Coupling

Abstract

The standard method for determining the ¹⁵N abundance of total dissolved nitrogen (TDN) in aqueous samples (e.g., soil leachate, sewage, urine) is currently Kjeldahl digestion followed by steam distillation or diffusion to isolate the ammonium, and then ¹⁵N measurement using IRMS. However, this technique is both time-consuming and laborious. One way of overcoming these disadvantages could be to couple a TOC analyser to determine the TDN with a sufficient quadrupole MS to determine the ¹⁵N abundance. The highTOC analyser (Elementar Analysensysteme Hanau, Germany), which catalytically oxidises the sample's total nitrogen with a high, constant yield to nitrogen monoxide (NO), appeared particularly suitable. The quadrupole-MS ESD 100 (InProcess Instruments Bremen, Germany) proved to be a suitable mass spectrometer for the ¹⁵N determination of NO. This combination of instruments was found to provide a workable method in numerous measurements of standard and actual samples. The detection limit concerning the N amount required per analysis is 2 μg, corresponding to an N concentration of 0.7mg/l in a maximum sample volume of 3ml. Depending on the N concentration, ¹⁵N abundances starting from 0.5 at.% can be measured with the required precision of better than 3% (simple standard deviation). For example, measuring the abundance of 0.5 at.% requires about 50 μg N, whereas for 1 at.% or more only about 5 μg N is needed per analysis.     

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.     

Experimental study of conditions for the 3D laser cladding of nickel aluminide

The layerwise laser cladding of powdered alloy based on intermetallic gamma Ni₃Al phase is studied. The effect deposition parameters have on the geometry of the deposited beads is shown. Microstructures are investigated and the cracking susceptibility of the deposited material is analyzed. The effective deposition parameters are determined within a range of specific laser energy inputs of (2–8) × 10⁶ J kg^?1 at beam scanning rates of (1.67–10) × 10^?3 m/s and a powder feed of 6.3 × 10^?5 kg/s^?1.     

Uptake of 15NH3 by Picea abies in Closed Chamber Experiments

Abstract

Above-ground deposition of anthropogenic trace gases like NH₃ and NO_x is considered as a main factor for nitrogen (N) loading of Picea abies ecosystems. In order to quantify NH₃ deposition, tracer experiments with ¹⁵N labelled NH₃ were carried out in fumigation chambers (GSF München).

NH₃ uptake is linearly related to the gas concentration in the air, but the relation differs between organs and depends on N-nutrition of the organs. Plants well supplied with N have a lower NH₃ uptake per g dry weight then plants deprived of N. Only a small amount of the offered gas deposits to the external plant surfaces. The NH₃ uptake rates of spruce indicate that NH₃ may be regarded as being just as or even more important as environmental pollutant than NO_x with respect to N loading of spruce ecosystems.     

Sono-chemical treatment of per- and poly-fluoroalkyl compounds in aqueous film-forming foams by use of a large-scale multi-transducer dual-frequency based acoustic reactor

Aqueous film-forming foams (AFFFs) contain a mixture of organic chemicals, including per- and poly-fluorinated, alkyl sulfonate substances (PFAS) (1–5%, w/w). Some longer-chain PFAS can be toxic, moderately bioaccumulative and persistent in the environment. In the present work, decomposition of PFAS present in two commercially available AFFFs (ANSUL- and 3M-) was investigated using a sono-chemical reactor of volume 91 L. The reactor consists of 12 transducers with operating frequencies of 1 MHz or 500 kHz and total input power of 12 kW. Degradation of PFASs performed using various dilutions of AFFF revealed that release of F⁻ and SO₄⁻² ions was inversely proportional to initial pH of up to 4. Defluorination of ANSUL-AFFF resulted in an increase in the concentration of F⁻ released from 55.6 ± 0.3 µM (500× dilution) to 58.6 ± 0.6 (25× dilution), while for 3M AFFF it increased from 19.9 ± 0.7 µM (500× dilution) to 217.1 ± 2.4 µM (25× dilution). Though amounts of F⁻ released were less for ANSUL-AFFF than for 3M-AFFF, there was a considerable increase in removal of TOC and release of SO₄⁻² present in ANSUL-AFFF. Approximately 90.5% and 26.6% reduction of perfluoroalkyl sulfonates (PFSA) and perfluoroalkyl carboxylates (PFCA) in 3M, respectively, and 38.4% reduction of fluorotelomer sulfonates in ANSUL-AFFF were achieved in 13 h. Estimated costs of energy for the treatment of ANSUL-AFFF and 3M-AFFF at a 500× dilution were $0.015 ± 0.0001/L and $0.019 ± 0.0002/L, respectively.     

Synthese und Qualitätskontrolle 15N-markierter Stickoxide mit hoher 15N-Häufigkeit für umweltrelevante Tracer-Untersuchungen

Für die Untersuchung ausgewählter Probleme des Verhaltens und der Wirkung der Stickoxide NO _x (NO + NO₂) in Ökosystemen, z.B. die Aufnahme und Freisetzung von NOx durch das System “Boden-Pflanze”, bietet sich der Einsatz ¹⁵N-markierter Stickoxide an. Die dazu benötigten ¹⁵N-markierten Gasgemische hoher Reinheit werden aus eigens dafür synthetisiertem [¹⁵N]Stickstoffmonoxid oder [¹⁵N]Stickstoffdioxid mit hoher ¹⁵N-Häufigkeit hergestellt. Beide Synthesen gehen jeweils von der kostengünstig kommerziell erhältlichen [¹⁵N]Salpetersäure aus.

Im Falle des [¹⁵N]Stickstoffdioxids erfolgt die Herstellung über die Präparation von Bleinitrat und dessen thermische Zersetzung. Die Ausbeute liegt bei 70–75% bezogen auf eingesetzte [¹⁵N]Salpetersäure.

Die Herstellung von [¹⁵N]Stickstoffmonoxid erfolgt durch Reduktion von [¹⁵N]Salpetersäure mit Eisen-II-sulfat in stark saurer Lösung. Die Ausbeute beträgt 60–70%, bezogen auf eingesetzte Salpetersäure.

The application of ¹⁵N is very useful for the investigation of the behavior and the effect of the nitrogen oxides NO _x (nitric oxide + nitrogen dioxide) in ecosystems, e.g. the uptake and release of NO _x by the soil-plant system. The ¹⁵N labelled gas mixture needed for that purpose has to be prepared from synthesized highly enriched [¹⁵N]nitric oxide and [¹⁵N]nitrogen dioxide. These two syntheses both use the commercially available and reasonable [¹⁵N]nitric acid.

In the case of [¹⁵N]nitrogen dioxide the synthesis is carried out via [¹⁵N]lead nitrate and its decomposition with increasing temperature. The yield is 70–75% related to the [¹⁵N]nitric acid input. The preparation of [¹⁵N]nitric oxide is done by reduction of [¹⁵N]nitric acid by means of FeSO₄ in strong acid solution. The yield amounts to 60–70%.     

Generation of a Low Flow Atmospheric Pressure Neon ICP

Abstract

A 27.12 MHz low flow (3 1/min), laminar flow, atmospheric pressure neon ICP has been generated. The forward power used is 500 W with a reflected power of less than 5 W. Using higher powers caused the plasma to either extinguish or form numerous filaments. The Hß line is used to determine an electron number density of 8 × 10¹³cm^?3. The N₂ ⁺(0, 0) and OH(0, 0) transitions did not readily emit. This fact, coupled with the low electron density and low input power, indicates a relatively cool plasma.     

Conference Reports

Abstract

One purpose of new land use concepts for degraded fens (organic soils with high N content) is the reduction of the mineralization process due to very high groundwater levels. However, knowledge of nitrogen mineralization process (net and gross) in degraded fen soils affected by reflooding is very small. Therefore, the objectives of our study were (a) to evaluate the suitability of ¹⁵N pool dilution method for measurements of gross mineralization rates in degraded fen soils and (b) to investigate how the reflooding of a degraded fen affects the net and gross nitrogen mineralization in a short-term incubation experiment. The usability of the ¹⁵N pool dilution method was diminished by the low recovery of the applied ¹⁵NH₄ ^? at time zero. The recovery of the added ¹⁵NH₄ ^? in the extractable soil NH₄ ^? pool was only 13.5% for the drained soil and 59.6% for the reflooded soil. However, the gross mineralization rates were similar for both soils and exceeded always the net rates substantially. The cumulative net mineralization rate was higher for the reflooded soil (1.58 μg N?cm^?3?d^?1) than for the drained soil (-0.67 μg N?cm^?3?d^?1). Differences between the two soils were also found in the nitrification intensity and the loss of ¹⁵N. This was probably one reason for the higher net mineralization rate in the reflooded soil.     

Abstracts

Abstract

Uptake of weed-borne nitrogen by maize was tested with ¹⁵N in field experiments on silty loam (haplic phaeozem) after common growth of maize and Chenopodium album L. and incorporating the weeds at the 4- to 6-leaf stage of maize. Maize took up 22–23% of the weed-borne N in the year of incorporating and residual 7–32% in the following year. Uptake of weed-borne N was higher in comparable pot experiments. Different soil humidity after different water supply was mainly reasonable for these differences. Weed-borne nitrogen contributed 7–16% to total N of maize in the year of incorporating and 4–11% in the following year. Yield and N uptake between weeded and unweeded maize differed partly significant.     

Effect of bias voltage and nitrogen pressure on the structure and properties of vacuum-arc (Mo + Ti6%Si)N coatings

Effect of deposition conditions in reactive nitrogen atmosphere on the growth morphology, phase composition, structure, and mechanical characteristics (microhardness) of vacuum-arc multilayer coatings obtained using evaporation of the (Ti6%Si) and Mo cathodes is studied with the aid of raster electron microscopy, energy-dispersive elemental microanalysis, and microindentation. It is demonstrated that nitrogen atoms are redistributed to the region of the strongest nitride-forming element (Ti) in relatively thin layers (about 7 nm) consisting of substances with substantially different heats of formation (−336 kJ/mol for TiN and −34 kJ/mol for MoN). Such a process leads to lamination with the formation of nitride TiN and metal Mo (weaker nitride-forming element). Nitrogen–metal bonds are saturated in the layers of strong nitrideforming elements Ti(Si) when the nitrogen pressure increases from 6 × 10^–4 to 5 × 10^–3 Torr in the condensation procedure. Thus, the compound is filled with nitrogen to the stoichiometric composition and, then, the second system of layers based on molybdenum is saturated with nitrogen with the formation of the γ-Mo₂N phase. An increase in bias potential U _SP from–100 to–200 V stimulates mixing in thin layers with the formation of the (Ti, Si, Mo)N solid solution and leads to a decrease in microhardness from 37 to 32 GPa.

     

Dynamic behavior of implanted nitrogen in zirconium at various stages of implantations

Abstract

Depth profiles of nitrogen implanted into Zr with an energy of 50 keV were calculated by dynamic SASAMAL code with three different assumptions for the diffusion of excess atoms over stoichiometry, i.e., ‘no diffusion', ‘both-sides-diffusion’ and ‘upward-diffusion'. To distinguish nitrogens implanted certain stage of implantations, alternate implantations of ¹⁵N and ¹⁴N were used. The results were compared with the experimental results by the resonance nuclear reaction analysis, NRA. For ¹⁵N implantation with fluences from 1 × 10¹⁷ to 1 × 10¹⁸ ions/cm², the calculated results with ‘upward-diffusion’ agreed very well with the NRA results for all fluences. For the depth profile of pre-implanted ¹⁵N (1 × 10¹⁷ ions/cm²), which was changed by the subsequent ¹⁴N implantation with fluences of 1 ～ 10 × 10¹⁷ ions/cm², the agreement with the NRA results was satisfactory until the ¹⁴N fluence did not exceed 5 × 10¹⁷ ions/cm², but for higher fluences, the retained probabilities of ¹⁵N obtained by the ‘upward-diffusion’ code were too low compared with the experimental value obtained by NRA. For the depth profiles of ¹⁵N (1 × 10¹⁷ ions/cm²) implanted following after implantations of ¹⁴N with fluences of 1 ～ 10 × 10¹⁷ ions/cm², the agreement with the NRA results was quite good for all ¹⁴N fluences. It is concluded that the approximation of ‘upward-diffution’ is proper satisfactorily for the treatment of atoms implanted at the final stage of implantations, but a problem is left for the treatment of atoms implanted at the early stage of implantations.