<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2005000100008</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Response matrix of a multisphere neutron spectrometer with an ³He proportional counter]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vega-Carrillo]]></surname>
<given-names><![CDATA[H.R.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Manzanares-Acuña]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Dávila]]></surname>
<given-names><![CDATA[V Martín]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mercado Sánchez]]></surname>
<given-names><![CDATA[G.A.]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Autónoma de Zacatecas Cuerpo Académico de Radiobiología Unidad Académica de Estudios Nucleares]]></institution>
<addr-line><![CDATA[Zacatecas Zac.]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Autónoma de Zacatecas Cuerpo Académico de Radiobiología Unidad Académica de Ingeniería Eléctrica]]></institution>
<addr-line><![CDATA[Zacatecas Zac.]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Autónoma de Zacatecas Cuerpo Académico de Radiobiología Unidad Académica de Matemáticas]]></institution>
<addr-line><![CDATA[Zacatecas Zac.]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2005</year>
</pub-date>
<volume>51</volume>
<numero>1</numero>
<fpage>47</fpage>
<lpage>52</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2005000100008&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2005000100008&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2005000100008&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The response matrix of a Bonner sphere spectrometer was calculated by use of the MCNP code. As thermal neutron counter, the spectrometer has a 3.2 cm-diameter ³He-filled proportional counter which is located at the center of a set of polyethylene spheres. The response was calculated for 0, 3, 5, 6, 8, 10, 12, and 16 inches-diameter polyethylene spheres for neutrons whose energy goes from 10~9 to 20 MeV. The response matrix was compared with a set of responses measured with several monoenergetic neutron sources. In this comparison the calculated matrix agrees with the experimental results. The matrix was also compared with the response matrix calculated for the PTB C spectrometer. Even though that calculation was carried out using a detailed model to describe the proportional counter; both matrices do agree, but small differences are observed in the bare case because of the difference in the model used during calculations. Other differences are in some spheres for 14.8 and 20 MeV neutrons, probably due to the differences in the cross sections used during both calculations.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La matriz de respuesta de un espectrómetro de Esferas de Bonner ha sido calculada mediante el código MCNP. Como detector de neutrones térmicos se utilizó un contador proporcional de 3.2 cm de diámetro que se ubica en el centro de un conjunto de esferas de polietileno. La respuesta, ante neutrones de 10-9 a 20 MeV, se calculó para esferas cuyo diámetro es de 0, 3, 5, 8, 10, 12 y 16 pulgadas. La matriz de respuesta se comparó con un conjunto de respuestas determinado experimentalmente con varias fuentes de neutrones monoenergéticos. En esta comparación la matriz calculada coincide con los resultados experimentales. La matriz también se comparó con la matriz calculada para el espectrómetro PTB C donde el detector se modeló en forma detallada. De esta comparación, se observaron pequeñas diferencias debidas a que en esta investigación el detector se modeló en forma simple. Otras diferencias se observaron para algunas esferas y para neutrones de 14.9 y 20 MeV, la explicación probable de estas diferencias se atribuya a que en ambos cálculos se utilizaron versiones diferentes de los valores de las secciones eficaces.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Monte Carlo simulations]]></kwd>
<kwd lng="en"><![CDATA[neutron transport]]></kwd>
<kwd lng="en"><![CDATA[gas filled counters]]></kwd>
<kwd lng="es"><![CDATA[Monte Carlo]]></kwd>
<kwd lng="es"><![CDATA[transporte de neutrones]]></kwd>
<kwd lng="es"><![CDATA[contador proporcional]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Investigaci&oacute;n</font></p>  	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="4"><b>Response matrix of a multisphere neutron spectrometer with an</b> <b><sup>3</sup>He proportional counter</b></font></p>  	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>H.R. Vega&#45;Carrillo<sup>a,b,c</sup>, E. Manzanares&#45;Acu&ntilde;a<sup>a</sup>, V Mart&iacute;n Hern&aacute;ndez&#45;D&aacute;vila<sup>a,b</sup>, and G.A. Mercado S&aacute;nchez<sup>c</sup></b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup>a</sup><i>Unidad Acad&eacute;mica de Estudios Nucleares, Cuerpo Acad&eacute;mico de Radiobiolog&iacute;a de la Universidad Aut&oacute;noma de Zacatecas Apartado Postal 336, 98000 Zacatecas, Zac. Mexico.</i></font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>b</sup> Unidad Acad&eacute;mica de Ingenier&iacute;a El&eacute;ctrica, Cuerpo Acad&eacute;mico de Radiobiolog&iacute;a de la Universidad Aut&oacute;noma de Zacatecas Apartado Postal 336, 98000 Zacatecas, Zac. Mexico.</i></font></p> 	    <p align="justify"><font face="verdana" size="2"><i><sup>c</sup> Unidad Acad&eacute;mica de Matem&aacute;ticas, Cuerpo Acad&eacute;mico de Radiobiolog&iacute;a de la Universidad Aut&oacute;noma de Zacatecas Apartado Postal 336, 98000 Zacatecas, Zac. Mexico.</i></font></p> 	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Recibido el 3 de marzo de 2004;    <br> 	aceptado el 3 de diciembre de 2004</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>  	    <p align="justify"><font face="verdana" size="2">The response matrix of a Bonner sphere spectrometer was calculated by use of the MCNP code. As thermal neutron counter, the spectrometer has a 3.2 cm&#45;diameter <sup>3</sup>He&#45;filled proportional counter which is located at the center of a set of polyethylene spheres. The response was calculated for 0, 3, 5, 6, 8, 10, 12, and 16 inches&#45;diameter polyethylene spheres for neutrons whose energy goes from 10~<sup>9</sup> to 20 MeV. The response matrix was compared with a set of responses measured with several monoenergetic neutron sources. In this comparison the calculated matrix agrees with the experimental results. The matrix was also compared with the response matrix calculated for the PTB C spectrometer. Even though that calculation was carried out using a detailed model to describe the proportional counter; both matrices do agree, but small differences are observed in the bare case because of the difference in the model used during calculations. Other differences are in some spheres for 14.8 and 20 MeV neutrons, probably due to the differences in the cross sections used during both calculations.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Monte Carlo simulations; neutron transport; gas filled counters.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>  	    <p align="justify"><font face="verdana" size="2">La matriz de respuesta de un espectr&oacute;metro de Esferas de Bonner ha sido calculada mediante el c&oacute;digo MCNP. Como detector de neutrones t&eacute;rmicos se utiliz&oacute; un contador proporcional de 3.2 cm de di&aacute;metro que se ubica en el centro de un conjunto de esferas de polietileno. La respuesta, ante neutrones de 10&#45;9 a 20 MeV, se calcul&oacute; para esferas cuyo di&aacute;metro es de 0, 3, 5, 8, 10, 12 y 16 pulgadas. La matriz de respuesta se compar&oacute; con un conjunto de respuestas determinado experimentalmente con varias fuentes de neutrones monoenerg&eacute;ticos. En esta comparaci&oacute;n la matriz calculada coincide con los resultados experimentales. La matriz tambi&eacute;n se compar&oacute; con la matriz calculada para el espectr&oacute;metro PTB C donde el detector se model&oacute; en forma detallada. De esta comparaci&oacute;n, se observaron peque&ntilde;as diferencias debidas a que en esta investigaci&oacute;n el detector se model&oacute; en forma simple. Otras diferencias se observaron para algunas esferas y para neutrones de 14.9 y 20 MeV, la explicaci&oacute;n probable de estas diferencias se atribuya a que en ambos c&aacute;lculos se utilizaron versiones diferentes de los valores de las secciones eficaces.</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Descriptores</b><i>:</i> Monte Carlo; transporte de neutrones; contador proporcional.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">PACS: 24.10.Lx; 28.20.Gd; 29.40.Cs</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v51n1/v51n1a8.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Acknowledgments</b></font></p>  	    <p align="justify"><font face="verdana" size="2">The authors gratefully thank Dr. Peter Wynn, visiting professor at UAZ, for his suggestions and discussions that helped to improve the manuscript.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>  	    ]]></body>
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