Total neutron cross section of B10 in the thermal neutron energy range

Schmitt, H.W.; Block, Robert C.; Bailey, R.

doi:10.1016/0029-5582(60)90105-x

Cited by 23 publications

(13 citation statements)

References 9 publications

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“…A possible remedy for this is, instead, to do many repeated runs while tightly controlling the experimental apparatus, in order to obtain a homogeneous Poisson process in each run. The second asymptotic result is the asymptotic normality of the estimator of , which we conclude from Schmitt et al (1960). The number of data points used for the estimation of in that paper is 45 and, therefore, arguably on the boundary of what one can accept as an asymptotic normality result.…”

Section: Discussionmentioning

confidence: 73%

“…Furthermore, the coefficient does not depend on the neutron wavelength and has been measured experimentally (cf. Schmitt, Block, & Bailey, 1960). From the results in Schmitt et al (1960), we conclude that the estimator̂of is unbiased and asymptotically normal, that is,…”

Section: Estimation Of the Wavelength Of An Incident Beammentioning

confidence: 80%

“…Furthermore, the coefficient ς does not depend on the neutron wavelength and has been measured experimentally (cf. Schmitt, Block, & Bailey, ). From the results in Schmitt et al (), we conclude that the estimator

\overset{ς}{true}

of ς is unbiased and asymptotically normal, that is,

\sqrt{n^{'}} ({\hat{ς}}_{n^{'}} - ς) \overset{d}{\to} N (0, σ_{ς}^{2}),

as n ′ → ∞ , where n ′ is the number of runs performed in the experiment to estimate ς and

σ_{ς}^{2}

is its asymptotic variance.…”

Section: Inference For the Parametersmentioning

confidence: 99%

“…We recall the relation between χ and ς in and note that ρ at and d l are known. The estimator of ς is assumed to be asymptotically normal, with a mean value of the sample mean and variance equal to a pooled variance estimate using three series of 15 measurements, which give, in total, n ′ = 45 experimental data points (see Schmitt et al, ). Using the results of Schmitt et al (), we have the following estimates for χ :

{\overset{χ}{true}}_{n^{'}} = 2.142 \times 1 0^{8}

m −1 and

{\overset{σ}{true}}_{χ}^{2} = 0.021 \times 1 0^{8}

m −2 .…”

Section: A Simulation Experimentsmentioning

confidence: 99%

“…The estimator of is assumed to be asymptotically normal, with a mean value of the sample mean and variance equal to a pooled variance estimate using three series of 15 measurements, which give, in total, n ′ = 45 experimental data points (see Schmitt et al, 1960). Using the results of Schmitt et al (1960), we have the following estimates for :̂n′ = 2.142 × 10 8 m −1 and̂2 = 0.021 × 10 8 m −2 . First, we analyze the dependence of the approximate confidence interval on the number of detector layers.…”

Section: A Simulation Experimentsmentioning

confidence: 99%

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A stochastic process approach to multilayer neutron detectors

Anevski

Hall-Wilton

Kanaki

et al. 2018

Scandinavian J Statistics

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The sparsity of the isotope Helium‐3, ongoing since 2009, has initiated a new generation of neutron detectors. One particularly promising development line for detectors is the multilayer gaseous detector. In this paper, a stochastic process approach is used to determine the neutron energy from the additional data afforded by the multilayer nature of these novel detectors. The data from a multilayer detector consist of counts of the number of absorbed neutrons along the sequence of the detector's layers, in which the neutron absorption probability is unknown. We study the maximum likelihood estimator for the intensity and absorption probability and show its consistency and asymptotic normality, as the number of incoming neutrons goes to infinity. We combine these results with known results on the relation between the absorption probability and the wavelength to derive an estimator of the wavelength and to show its consistency and asymptotic normality.

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Section: Discussionmentioning

confidence: 73%

Section: Estimation Of the Wavelength Of An Incident Beammentioning

confidence: 80%

\overset{ς}{true}

of ς is unbiased and asymptotically normal, that is,

\sqrt{n^{'}} ({\hat{ς}}_{n^{'}} - ς) \overset{d}{\to} N (0, σ_{ς}^{2}),

as n ′ → ∞ , where n ′ is the number of runs performed in the experiment to estimate ς and

σ_{ς}^{2}

is its asymptotic variance.…”

Section: Inference For the Parametersmentioning

confidence: 99%

{\overset{χ}{true}}_{n^{'}} = 2.142 \times 1 0^{8}

m −1 and

{\overset{σ}{true}}_{χ}^{2} = 0.021 \times 1 0^{8}

m −2 .…”

Section: A Simulation Experimentsmentioning

confidence: 99%

Section: A Simulation Experimentsmentioning

confidence: 99%

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A stochastic process approach to multilayer neutron detectors

Anevski

Hall-Wilton

Kanaki

et al. 2018

Scandinavian J Statistics

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Boron‐polymer composites engineered for compression molding, foaming, and additive manufacturing

Stockdale,

Legett,

Torres

et al. 2024

J of Applied Polymer Sci

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Boron (specifically 10B) is the element of choice to shield thermal neutrons due to its large (n, α) cross‐section; however, very few polymer composites containing high boron concentrations are available. This study aimed to determine the maximum possible amount of boron that could be introduced into a polymer matrix. Diverse manufacturing techniques, ranging from additive manufacturing to compression molding, were employed to fabricate inks and filaments for 3D printing, foams, and flexible pads. Composites using siloxanes, poly(lactic acid), and acrylonitrile butadiene styrene containing up to 80 wt% boron were sucessufully fabricated. The addition of known plasticizers (polyethylene glycol) and reinforcing agents (carbon nanofibers and fumed silica) helped to overcome fabrication problems such as clogging of the printing nozzle or crumbling of compression molded parts. In addition, the thermal‐mechanical properties of these novel boron composites were determined and shown to vary according to boron concentration, presence of additives, and fabrication techniques utilized.

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Diamond Radiation Detector with Built‐In Boron‐Doped Neutron Converter Layer

Miyake

Nakagawa

Masuzawa

et al. 2021

Physica Status Solidi (a)

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Herein, a radiation detector made of polycrystalline diamond with a boron (B)‐doped neutron converter layer is presented. The detector is fabricated by the hot filament chemical vapor deposition technique, and consists of an undoped free‐standing polycrystalline diamond layer and a B‐doped polycrystalline diamond top layer that serves as an electrical contact and a converter for neutron‐alpha conversion. Characterization of the diamond films and detector operation is presented. The results indicate that the B‐doped layer acts as an effective neutron‐alpha converter, whereby neutron detection is demonstrated in particle‐counting mode using a multichannel analyzer.

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Total neutron cross section of B10 in the thermal neutron energy range

Cited by 23 publications

References 9 publications

A stochastic process approach to multilayer neutron detectors

A stochastic process approach to multilayer neutron detectors

Boron‐polymer composites engineered for compression molding, foaming, and additive manufacturing

Diamond Radiation Detector with Built‐In Boron‐Doped Neutron Converter Layer

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