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NAG_v-_5Iq NASA/CR- --'77- 207717 Reprinted from EARTH AND PLANETARY SCIENCE LETTERS Earth and Planetary Science Letters 148 (1997) 545-552 Depth profile of 41Ca in an Apollo 15 drill core and the low-energy neutron flux in the Moon K. Nishiizumi a.., D. Fink b,j. Klein c, R. Middleton c, j. Masarik a.,, R.C. Reedy d J.R. Arnold e a Space Sciences Laboratory, Unit_ersity of California, Berkeley, CA 94720-7450, USA bPhysics Ditision, ANSTO, Lucas Heights Research Laboratory, Menai, NSW 2234, Australia c Tandem Accelerator Lahorator3.. Department ofPh)_'ics, Unit,ersity of Pennsyh,ania, Philadelphia, PA 19104-3859, USA aNIS-2, MS-D436, Los Alamos National Laboratory, Los Alamos, NM 87545, USA eDepartment ofChemisto', Unit,ersity of California, San Diego, La Jolla, CA 92037-0524, USA Received 25 September 1996; revised 19February 1997; accepted 21February 1997 ELSEVIER EARTH AND PLANETARY SCIENCE LETTERS EDITORS Dr. F.AlbartMe Prof. M. Kastner Prof. R.J. O'Connell Ecole Normale Su#rieure de Lyon Geological Research Division Department of Earth and Planetary Sciences 46 Alh_e d'Italie, Scripps Institution of Oceanography Harvard University 69364 Lyon Cedex 07, France University of California 20 Oxford Street, Tel.: (33) 72728414 La Jolla, CA 92093, USA Cambridge, MA 02138, USA Fax: (33) 72728080 Tel.: (619) 534-2065/Fax: (619)534-0784 Tel.: (617) 495-2532/Fax: (617) 495-8839 E-mail [email protected], fr E-mail: [email protected] E-mail: [email protected] Dr. A. Cazenave Prof. C. Langmuir Dr. R. van der Voo MEDIAS, Centre National d'Etudes Lamont-Doherty Earth Observatory Department of Geological Sciences Spatiales GRGS/CNES (bpi 2102) Palisades, NY 10964, USA University of Michigan 18, Avenue l_louard-Belin Tel.: (914) 365-8657 1006 C.C. Little Building, 31055 Toulouse Cedex, France Fax: (914) 365-8155 Ann Arbor, MI 48109-1063, USA Tel. (33) 61-332922 E-mail: [email protected] Tel.: (313) 764 1435 Fax (33) 61-253205 Fax: (313) 763 4690 E-mail: [email protected] E-mail: [email protected] ADVISORY EDITORIAL BOARD Australia Germany U.S.A. K. IAMBECK (Canberra, A.C.T.) H. PALME (Mainz) W.S. BROECKER (Palisades, N.Y.) India J.M. EDMOND (Cambridge, Mass.) A.N. HALLIDAY (Ann Arbor, Mich.) Belgium S. KRISHNASWAMI (Ahmedabad) S.L. GOLDSTEIN ( Palisades, N.Y.) A.L BERGER (Louvain-La-Neuve) Italy J.L KIRSCHVINK (Pasadena, Calif.) A. LONGINELLI (Trieste) D. LAL (La Jolla, Calif.) France People's Republic of China J.G. SCLATER (La Jolla, Calif.) C.J. ALLf:t3RE (Paris) TU GUANGZHI (Beijing) N.H. SLEEP (Stanford, Calif.) Y. BOTYINGA (Paris) L. TAUXE (La Jolla, Calif.) J.P. COGNI_ (Pads) United Kingdom S. UYEDA (College Station, Tex.) V. COURTILLOT (paris) J.C. BRIDEN (Oxford) C. JAUPART (Paris) N.J. KUSZN'IR (Liverpool) H.C. NATAF (paris) R.K. 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Arnold e Space Sciences lxzboratoo', Unieersity of Califi_rnia, Berkeley, CA 94720-7450, USA bPhysics Dicision, ANSTO, Lucas Heights Research Izzboratoo', Menai, NSW 2234, Australia Tandem Accelerator Laboratoo', Department of Physics, Unirersity of Pennsyh'ania, Philadelphia, PA 19104-3859, USA dNIS-2, MS-D436, Los Alamos National Laboratoo,, Los Alamos, NM 87545, USA eDepartment of Chemistry, Unirersit3" of California, San Diego, La Jolla, CA 92037-0524, USA Received 25 September 1996; revised I9 February 1997; accepted 21 Fcbruary 1997 Abstract Systematic measurements of the concentrations of cosmogenic 41Ca (half-life = 1.04 × 105 yr) in the Apollo 15 long core 15001-15006 were performed by accelerator mass spectroscopy. Earlier measurements of cosmogenic robe, HC, 26A1, 36C1, and 53Mn in the same core have provided confirmation and improvement of theoretical models for predicting production profiles of nuclides by cosmic ray induced spallation in the Moon and large meteorites. Unlike these nuclides, 4_Ca in the lunar surface is produced mainly by thermal neutron capture reactions on 4°Ca. The maximum production of 4_Ca, about I dpm/g Ca, was observed at a depth in the Moon of about 150 g/cm 2. For depths below about 300 g/cm 2, alCa production falls off exponentially with an e-folding length of 175 g/cm _. Neutron production in the Moon was modeled with the Los Alamos High Energy Transport Code System, and yields of nuclei produced by low-energy thermal and epithermal neutrons were calculated with the Monte Carlo N-Particle code. The new theoretical calculations using these codes are in good agreement with our measured 4_Ca concentrations as well as with 6°Co and direct neutron fluence measurements in the Moon. Keywords: cosmogenic nuclide; thermal neutron; production rate; lunar soil 1. Introduction spallation reactions as a function of depth in the Moon [1]. The model was later expanded and also Reedy and Arnold developed a simple semi-em- used for studies of exposure histories of meteorites pirical model for calculating the production rates of and other bodies [2]. Neutron-capture reactions in the various cosmogenic nuclides made by high-energy Moon were modeled with the ANISN computer code by Lingenfelter et al. and Spergel et al. [3,4]. A new model is now being used for the calculation of " Corresponding author. Fax: +1 510 486 5496. E-mail: cosmogenic-nuclide production rates in the Moon kuni @ssl.berkeley.edu and meteorites by both spallation and neutron-cap- i Present addresses: Department of Nuclear Physics, Comenius ture reactions that is based on the Los Alamos High University, SL-84215 Bratislava, Slovakia; and EAWAG, CH- 8600 Duebendorf, Switzerland. Energy Transport (LAHET) Code System [5,6]. 0012-821 X/97/$17.00 Copyright © 1997 Elsevier Science B.V. All rights reserved. PI1 S0012-82 IX(97)0005 I-4 546 K. Nishiizumi et al./ Earth and Planetary Science Letters 148 (I997) 545 552 Unlike other cosmogenic nuclides, th_ majority of Carlo particle production and transport codes. The 41Ca (half-life = 1.04 x l0 s yr) in the lunar surface transport of high-energy particles is done with the is produced by the capture of low-energy, thermal LAHET code, and neutrons with energies below a (~ 0.02 eV) and epitherma] or resonance (~ 0.1- cut-off energy of 15 MeV are further transported to 1000 eV), neutrons via the 40¢t_.-,a_-.n,y)"41 Ca reaction thermal energies (~ 0.02 eV) by the Monte Carlo instead of high energy spallation reactions. The ther- N-Particle (MCNP) code [24]. LCS, together with its mal neutron cross section for this reaction is 0.43 adaptations to planetary applications, are described barns [7] and calcium captures ~ 10% of thermal in [25]. LCS has been used to calculate cosmogenic neutrons in lunar material of average composition nuclide production rates both in meteorites and lunar [8]. The measurement of _TCa in lunar cores allows samples and gave results that are almost always in us to explore the production versus depth relation for good agreement with experimental data [5,26]. This a cosmogenic radionuclide that is produced almost model has also been used to calculate successfully entirely by the capture of thermal neutrons. The only the production rates Of cosmogenic nuclides in the other information concerning reactions of thermal Earth's atmosphere and on the terrestrial surface neutrons in well documented lunar samples come [27]. from the Apollo 17 Lunar Neutron Probe Experiment Deep lunar drill cores are the best samples avail- (LNPE) for the z3_U fission and I°B(n,o_)TLi reac- able for the study of the GCR production profile. tions [9] and 59Co(n,-/)6°Co measurements [10]. The Earlier measurements of _°Be (half-life = 1.5 × 10_ thermal neutron capture production rates or profiles yr), IZc (5730 yr), 26A1(7.05 X 105 yr), 36C1(3.01 X in some meteorites were also measured for 6°Co 105 yr), and 53Mn (3.7 × 10_ yr) in the same Apollo ([11,12,14], 15 deep core [28-31] have provided confirmation Y. Nakamura, pers. commun., 1978) S_Ni [15], 41Ca and improvement of theoretical models [1,2] for [12,16-18], and 36CI([12,19,20], Y. Nakamura, pers. production of these and other nuclides by cosmic commun., 1978). However, the determination of ab- ray-induced spallation in the Moon and in large solute depth scales in meteorite studies is much more meteorites. Lunar samples have been exposed at a complex and uncertain than that for lunar cores. A known location in the solar system (1 A.U.) and depth profile of 41Ca was measured in the surface have been exposed at accurately known shielding layers (top 16 g/cm 2) of lunar rock 74275 [21] to depths and geometries. Among the three Apollo deep study the flux of solar protons from the spallation drill cores, 15001-15006, 60001-60007, and production of _1Ca from titanium. 70001-70009, the Apollo 15 core is the best for The depth profile of neutron-capture-produced cosmogenic nuclide studies because it is the least 4tCa mimics the acute sensitivity of the fluxes of disturbed core. The other two cores are less suitable. low-energy (thermal and epithermal) neutrons to The Apollo 16 long core had poor extraction during depth, composition, and effective radius of the irradi- coring recovery of the core was incomplete [32] and ated body (e.g. [4]). Knowing the 41Ca production the Apollo 17 long core had a recent large cratering rate versus depth profile will allow the use of 41Ca in event followed by a filling of surface material [33]. determining sample locations and meteoroid radii. A We report here a series of systematic measure- detailed kn0wledge of the depth profile for neutron- ments of 4_Ca concentrations in the Apollo 15 drill capture reactions is also very important for the deter- core. Theoretical calculations with LCS, especially mination of elemental composition of planetary sur- MCNP, of depth profiles of low-energy neutrons and faces using gamma rays made by neutron-capture the rates for nuclear reactions, such as neutron cap- reactions [8,22] ..... ture, that they induce are presented and compared The nuclear processes involved in the interaction with available data sets. of high-energy galactic cosmic ray (GCR) particles, which penetrate deep inside the irradiated body and 2. Experiment and results produce a large number of secondary particles, were numerically simulated in detail by the LAHET Code Nine soil samples were selected from the Apollo System (LCS) [23], which is a system of 3D Monte 15 drill core 15001-15006. The sample depth cov- K. Nishiizumi et al./ Earth and Planetary Science Letters 148 (1997) 545-552 547 ered was from the surface to 218 cm (388 g/cm2). spectrometry measurements (3%), but excludes the Each soil was dissolved with HF/HNO 3 mixture uncertainty of the absolute activity of the standard and used for the previous roBe, -6AI, and 36C1 mea- (9.2%). surements [29,30]. After Be, A1, and CI extraction, The weights of samples shown in the table are Ca was separated from each of the remaining solu- different from the previous reports on 1°Be, 26AI, and tions by anion and cation exchange column from the 36C1 measurements because the Ca was extracted solution. After the Ca concentration was measured in from a fraction of the remaining solution. Each the separated fraction, Ca cartier was added in order weight was calculated to be equivalent to that of the to provide a sufficient amount of Ca for preparation original sample times the Ca fraction used here. The of the accelerator mass spectroscopy (AMS) target. average chemical composition of the core sample is Ca oxalate was precipitated from the solution by 4% 0.238% K, 7.39% Ca, 1% Ti, and 12.0% Fe. The ammonium oxalate. The Ca oxalate was ignited in a deepest sample, I5001,361, shows a quite different small quartz vial to form CaO. The CaO was con- chemical composition from the average, containing verted to Call 2 for use in the AMS ion source. The relatively low K (0.154%) and Ca (6.17%) but high 4_Ca measurements were performed at the University Fe (14.7%). of Pennsylvania AMS facility using established pro- cedures [34]. The 41Ca standard was prepared from the neutron irradiation of commercial Call 2 and had 3. Discussion a _lCa/4°Ca value of (5.41 + 0.50)× 10-12 calcu- lated from neutron flux and thermal neutron cross Fig. 1 shows the measured depth profile of 4_Ca section. The standard was typically measured by in the Apollo 15 drill core. Two facts are immedi- AMS to within 95% of the nominal ratio. ately apparent. First, the peak production occurs at a The measured 41Ca/4°Ca ratios ranged from depth of ~ 150 g/cm 2, which corresponds to the 1.5× 10-13 to 1.9× 10 i2. The chemical blank, peak low-energy neutron flux as observed at the prepared in an identical fashion starting from the Ca Apollo 17site by the LNPE [9]. This is much deeper carrier solution, gave a 41Ca/4°Ca ratio of than the peak _roduction (~ 40 g/cm 2) of spallation 5 x 10-_s. The measured ratios were normalized to nuclides like _6A! [I,35,30] or 53Mn [28] by galactic the 4_Ca standard. The results are shown in Table 1 cosmic ray particles. Second, the absolute production along with the sample's depth and the Ca and Fe at the peak, close to 80 dpm/kg, is far higher than chemical composition [29]. Each quoted error repre- expected for spallation reactions in samples of this sents the quadrature of the [o" AMS measurement composition [1]. The measured 4_Ca concentrations error (2-6%) and errors in the Ca atomic absorption in small iron meteorite falls [36] and in the metal Table 1 _lCa results in the Apollo 15deep drill core Sample Depth Depth Weight Ca _ Fe '_ 4_Ca 4_Ca h (cm) (g/cm 2) (mg) (c_) (c/_) (dpm/kg) (dpm/g Ca) 15006 267 2.6 4.2 33.3 7.30 I1.8 22.9 ± 1,0 0.289 ± 0.014 15006 266 25.6 41.9 42,8 6.92 12.2 40.1 ± 1.5 0.557 ± 0.022 15005 463 41.3 68.1 40.5 7.17 I1.7 61.4 ± 3.7 0.840 ± 0.052 15005 462 64.3 110.1 45.7 7.13 11.5 72.0 ± 3.8 0.998 ± 0.054 15004 2[4 93.0 162.2 71.6 7.52 12.3 79.7 ± 2.7 1,052 ± 0.035 15003 673 125.3 220.4 119,2 8.23 12.0 72,8 ± 2.7 0.880 ± 0.033 15002 582 165.0 290.8 !97.4 7.23 12.1 50.6 ± 1.8 0.697 ± 0.025 15002 581 191.7 336.3 223.8 7.61 12.0 41.6 ± 2.3 0.545 ± 0.030 15001 361 217.7 387.8 296.7 6.17 14.7 25.0 ± 1.0 0.403 ± 0.017 " From [29]. bLow-energy neutron production by the 4°Ca(n,y)41Ca reaction. 548 K. Nishiizumi etal./ Earth and Planetarr Science Letters 148(1997) 545-552 phase of larger chondrites [16,37] indicate that 41Ca production from spallation alone ranges from 24 +_ 1 41Ca i to 21 + 2 dpm/kg Fe, respectively. Extrapolation to I the lunar surface would reduce this amplitude by about a factor of 2, which would then correspond to a contribution of ~ 1.4 dpm/kg due to iron in the Apollo 15 core (12.0% Fe). The spallogenic 41Ca in the core is calculated to decrease from about 1.8 • Experimental data •_"_1 ] dpm/kg at the surface to 0.I dpm/kg using the Reedy-Arnold model [1]. Thus our measured peak Calculated 0_1 activity of 4tCa is _ 50 times larger than expected 100 200 300 4OO Depth(_cm z) by spallation reactions alone. The low-energy neutron-capture production of Fig. 2.Low-energy neutron produced ,_lCa activities inthe Apollo 15drill core. The experimental data have been normalized to Ca 4_Ca is calculated by subtracting the spallation con- concentrations after subtraction of small amounts of spallation tribution from the measured activity. The low-energy contribution (see text). The solid line is the calculated production neutron-capture 41Ca concentration normalized to the rate using the LAHET Code System, assuming "_1Cafrom 4°Ca Ca content, dpm 4_Ca/g Ca, of each sample is (n.7) reaction. shown in the last column of Table 1 and in Fig. 2. The deepest sample, 15001,361, shows values for both 36C1 [29] and 41Ca that fall below a semi-log capture resonances at epithermal energies and varia- straight line when expressed as dpm/kg sample tions in cosmic-ray fluxes over the 11 year solar (Fig. !). Using a unit of specific activity, dpm/g Ca, cycle make this comparison less direct. The 41Ca the value moves up to the straight semi-log relation- data show a peak position and curve shape in good ship. The significantly lower Ca content of this agreement with the 235U fission rate curve (Fig. 5) of sample than the mean value explains this result. The Woolum and Burnett [9]. low 36CI in this sample was also explained by a Except possibly for the near-surface (4.2 g/cm 2) lower Ca content [29]. sample, we believe that the 4_Ca results presented The _°Co (half-life = 5.27 yr) activities measured here are unaffected by 'gardening' of the lunar re- by Wahlen et al. [10] in the Apollo 15 long core golith on this time scale [38]. Although it is known (Fig. 4) are also consistent with our 41Ca data, that the top ~ 3 g/cm 2 or more were lost during or although complications due to strong 59Co neutron- subsequent to sampling, based on solar cosmic ray (SCR)-produced __2Na profiles [39], the near-surface sample, 15006,267, depth 4.2 g/cm 2, also contains SCR-produced 2_AI [30]. 4tCa is also produced via t 41Ca 4_K(p,n), 42Ca(p,pn), and Ti(p,x) reactions by SCR panicles. In a study of lunar basalt 74275 (7.6% Ti 50 content), the SCR production of 4tCa was shown [21] to be no larger than 10 dpm/kg on the surface .¢ and is exhausted at depths greater than 5-8 g/cm 2. Moreover, the SCR-produced 4_Ca in sample 20 15006,267 is low because of the low isotopic abun- dance of 41K (6.73%) and 42Ca (0.647%) and the low elemental abundance of K (0.225%) and Ti i i a t i I , h i , t I i 10 100 200 300 400 0%). Some of the 41Ca observed in 15006,267 was Depth (g/era21 produced by high-energy GCR panicles. As indi- Fig. I. Measured 4'Ca actMties in the Apollo 15 drill core cated above, the 4_Ca production rate by spallation is 15001-15006. The error bars include + Io" AMS measurements calculated to be about 1.8 atom/kg, rain at the and chemical analysis of Ca and exclude error of absolute activity of the 41Ca standard (+ 9.2%). depth of 4 g/cm z, much lower than the observed K. Nishiizumi et al./ Earth and Planetary Science Letters 148 (1997) 545-552 549 activity of 22.9 + 1.0 dpm/kg. Hence, we conclude For the LCS calculations, the target body was that the majority of 4tCa in near surface samples is simulated as a sphere with the radius of the Moon, produced by low-energy neutron capture. It is, how- 1738 km. Irradiation of the lunar surface was simu- ever, possible that the near-surface sample 15006,267 lated with an isotropic GCR omnidirectional particle is somewhat affected by mixing with deeper mate- flux of 4.56 nucleons/s •cm 2,with an energy distri- rial, resulting in an enhanced 41Ca content. bution corresponding to the GCR primary particle The e-folding attenuation length for the produc- flux averaged over a solar cycle [26]. The only tion of 4_Ca from thermal neutron capture is 175 normalization made to the LCS calculations was the g/cm z for depths larger than about 300 g/cm 2. A incident flux, which was obtained by fitting cosmo- similar result is observed in the Apollo 17 LNPE genic radionuclides in the Apollo 15 deep drill core data for the fission of 23SU(shown in Fig. 5). In both [26]. As the particle fluxes are strongly depth depen- cases, the LCS-calculated lengths, discussed below dent, the outer (surface) part of the sphere was for pure exponential attenuation for depths beyond divided into concentric shells with a thickness of 300 g/cm 2, isalso 175 g/cm 2.This e-folding length, 6 g/cm 2. In each shell proton and neutron fluxes which characterizes the reduction in 41Ca production were calculated. Statistical errors of the calculated from low-energy neutron reactions and, conse- fluxes, running 100,000 primary GCR particles, were quently, the attenuation in the lunar thermal neutron less than 3%. flux, is similar to the e-folding lengths of 173-177 We started our calculations with the study of g/cm 2 measured in the Apollo 15 core for spallo- depth and energy dependencies of neutron yields. genic production of 1°Be, 26AI, and 53Mn [28-30] The total neutron yield calculated by LAHET is but is slightly shorter than the e-folding length of (29.3 +0.15) neutrons per primary GCR nucleon, 190 g/cm 2 observed for 36C! [29]. and (15+_0.1) of them are produced or slowed below the 15MeV energy cut-off for neutron trans- 3.1. Theoretical calculations port by LAHET. Similar neutron yields were re- We compared our and similar measurements for ported by [40]. The depth distributions of neutrons products of neutron-capture reactions with two dif- produced with energies above and below 15 MeV ferent sets of theoretical calculations, those of Lin- and their sum are presented in Fig. 3. The depth genfelter et al. [3] (often used for such reactions) and distribution of the source neutrons with energies the ones that we did using LCS. LCS uses a different below 15 MeV exhibits a shallow maximum at a sets of computer codes that have been developed depth of ~ 40 g/cm 2and decreases exponentially at since the work of [3] and has worked well with greater depths, with an e-folding length of cosmogenic nuclides made by spallation reactions. 165 g/cm 2.This neutron source profile is similar to Lingenfelter et al. [3] modeled the lunar neutron those used in earlier calculations [3,4]. However, this fluxes, spectra, and capture rates as a function of the source e-folding length is not that for the lunar macroscopic cross section. An effective total macro- thermal-neutron flux because source neutrons (~ scopic capture cross section, "_eJf, for the Apollo 15 0.1-15 MeV) undergo much scattering in the drill core is calculated to be 0.0080 cm2/g using the volatile-poor Moon before they are thermalized (~ average chemical composition of the core, including 0.02 eV). 14 ppm Sm and 19 ppm Gd. Lingenfelter et al. [3] Running MCNP with the above source neutron calculated the peak (~ 150 g/cm 2) neutron capture spatial and energy distribution, differential fluxes of rate for a 100 barn I/v cross section as a function of thermal and epithermal neutrons were calculated. the effective total macroscopic cross section (their Having calculated these final (equilibrium) neutron fig. 6). Using the value of 0.0080 for _erf in Apollo fluxes, the rates of the reactions investigated were 15 core and a I/v thermal cross section for Ca of calculated .by integrating over energy the product of 0.43 barn [7], we calculate from [3] the peak steady- these fluxes with corresponding cross sections taken state decay rate (or production rate) of 41Ca to be from the ENDF/B-VI library [41], which is coupled 0.88 dpm/g Ca, which is ~ 15% lower than the with MCNP. Several calculated profiles are pre- observed value. sented in Figs. 2, 4 and 5. The good agreements 550 K. Nishiizumi et al./ Earth and Planeta O' Science Letters 148 (1997) 545-552 23SU fission " /-_ Neutron production inMoon _ Or 6 _ o / '--._% , i T_tal k - M,_ ....--'-_ E' <1. MeV 0.8 _' 0.6 • Experimental data ] W,,w,lum and Bumett (1974) Calculated 100 200 300 400 100 200 300 400 Depth (g/cm 2) Depth(g/clll a) Fig. 3. Neutron production by GCR particles vs. depth in the Fig. 5. Calculated fission rate for 23_U (solid line) vs. depth Moon. The depth distributions of neutrons produced with energies compared with 23SU fission rates measured in the Lunar Neutron above and below 15 MeV and their sum are presented. Probe Experiment [9]. between the calculated depth profiles and the mea- There is a similarly good agreement of LCS calcula- sured data a°Ca(n,"/)_lCa and 59Co(n,y)6°Co [10] tions [22] with the results of the LNPE [13] for the are presented in Figs. 2 and 4. We do not know why lO_/_,n,a) "7 Li reaction. the deeper measured 4tCa points are to the left of the calculated curve in Fig. 2 while the 23SU fission measurements and calculations in Fig. 5 show no 4. Conclusions such displacement. As noted above, LCS reproduces well the observed attenuation lengths of these two Measurements of 41Ca in nine samples from the reactions. The capture rate for 35CI(n,T)36CI was Apollo 15 deep drill core from very near the lunar also calculated, and the 36C] depth profile is identical surface (4 g/cm 2) to a depth of 388 g/cm 2 have with that of 4°Ca(n,y)41Ca but is (atom/min. g. C1) been performed using AMS. The dominant produc- 88 times larger, due to the larger thermal cross tion mode for 4_Ca is via thermal neutron capture on section of 35C1. For the 235U fission rate in Fig. 5, 4°Ca. Following minor corrections for the spallo- the agreement between the Lunar Neutron Probe genie production channel, the resultant 4_Ca depth Experiment data [9] and calculations is very good. profile in the Apollo 15 core maps the development and intensity of the thermal neutron flux in the Moon. A peak 41Ca production of 80 dpm/kg (or 20( T 6°Co 1dpm/g Ca) occurs at a depth of 150 g/cm 2(about 90 cm), which precedes an exponential fall-off in production with an e-folding length of 175 g/cm 2. This is in contrast to the behavior in the production of spallogenic nuclides in the Moon, where produc- tion peaks at ~ 40 g/cm 2. Most spallogenic nu- clides also attenuate with e-folding lengths of ~ 175 g/cm 2. -- Calculated Our 41Ca profile shows good agreement with lO_I_ ........................ calculations based on the LAHET Code System. 0 100 200 300 400 These calculations were extended to other lunar ther- Depth(g/cm2_ mal neutron data sets for 6°C0 and the LNPE data for Fig. 4. Calculated neutron capture rates of 6°Co (solid line) vs. the 235U fission rate, with both also exhibiting good depih compared with the ineasured activity of 6°Co in the Moon [t0]. agreement. The successes observed in modeling these K. Nishiizumi et al./ Earth and Planetary Science Letters 148 (1997) 545-552 551 low-energy and thermal neutron reactions augers well [11] P.J. Cressy Jr., Cosmogenic radionuclides in the Allende and Murchison carbonaceous chondrites, J. Geophys. Res. 77 for the application of LCS to other neutron-capture (1972) 4905-4911. reactions, such as for meteorite shielding and size [t2] H. Mabuchi, Y. Nakamura, H. Takahashi, M. Imamura, Y. studies, planetary elemental mapping studies using Yokoyama, Cosmogenic radionuclides in the Allende mete- gamma rays following neutron capture, and estimat- orite (abstract), Meteoritics 10(1975) 449. ing neutron corrections for spallogenic nuclides such [13] D.S. Woolum, D.S. Burnett, M. Furst, J.R. Weiss, Measure- as 36C1. ment of the lunar neutron density profile, Moon 12 (1975) 231-250. [14] J.C. Evans, J.H. Reeves, L.A. Rancitelli, D.D. Bogard, Cos- mogenic nuclides in recently fallen meteorites: evidence for Acknowledgements galactic cosmic ray variations during the period 1967-1978, J. Geophys. Res. 87 (1982) 5577-5591. [15] P.J. Cressy Jr., J.P. Shedlovsky, Cosmogenic radionuclides in This work was supported by NASA grant NAG the Bondoc meteorite, Science 148 (1965) 1716-1717. 9-33, NAGW 3514, and NASA Work Order W- [16] J. Klein, D. Fink, R. Middleton, S. Vogt, G.F. Herzog, 41Ca 18,284, and was partially performed under the aus- in the Jilin (H5) chondrite: a matter of size (abstract), Meteoritics 26 (1991) 358. pices of the U.S.D.O.E. by LANL under contract [17] K. Nishiizumi, J.R. Arnold, D. Fink, J. Klein, R. Middleton, W-7405-ENG-36. [MK] 41Ca production profile in the Allende meteorite (abstract), Meteoritics 26 (1991) 379. [18] D. Fink, J. Klein, B. D'Arjomandy, R. Middleton, G.F. Herzog, A. Albrecht, 41Ca in the Norton County aubrite References (abstract), Lunar Planet. Sci. 23 (1992) 355-356. [19] K. Nishiizumi, D. Elmore, P.W. Kubik, J.R. Arnold, Depth [I] R.C. Reedy, J.R. Arnold, Interaction of solar and galactic variation in cosmogenic radionuclide production in very large cosmic-ray particles with the moon, J. 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