A classroom demonstration of reciprocal space

Morten Hannibal Madsen; Louise Høpfner; Nina Rasmussen; Mikkel Stolborg; Jesper Nygård; Robert Krarup Feidenhans'l; Jan Westenkær Thomsen

doi:10.1119/1.4773979

A classroom demonstration of reciprocal space

Morten Hannibal Madsen, Louise Høpfner, Nina Rasmussen, Mikkel Stolborg, Jesper Nygård, Robert Krarup Feidenhans'l, Jan Westenkær Thomsen

3 Citationer (Scopus)

Abstract

An array of nanowires a laser pointer are used for a simple visualization of two-dimensional reciprocal space. The experiment can be performed without any preparation in any classroom. It aids the teaching of scattering experiments, illustrates the underlying principles of electron, x-ray, neutron scattering. A detailed study of the diffraction pattern was performed by mounting the sample with nanowires on a stage designed for x-ray scattering. The setup is well suited for undergraduate students, who get training in sample alignment in a small lab instead of at a large-scale facility. The exact positions of the diffraction spots are calculated monitored experimentally for a 360o rotation of the sample. By fitting to this set of images, it is possible to determine the lattice vectors of the artificial crystal with an uncertainty of less than 1%.

Originalsprog	Engelsk
Artikelnummer	274
Tidsskrift	American Journal of Physics
Vol/bind	81
Udgave nummer	4
ISSN	0002-9505
DOI	https://doi.org/10.1119/1.4773979
Status	Udgivet - 18 mar. 2013

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10.1119/1.4773979

http://dx.doi.org/10.1119/1.4773979

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title = "A classroom demonstration of reciprocal space",

abstract = "An array of nanowires a laser pointer are used for a simple visualization of two-dimensional reciprocal space. The experiment can be performed without any preparation in any classroom. It aids the teaching of scattering experiments, illustrates the underlying principles of electron, x-ray, neutron scattering. A detailed study of the diffraction pattern was performed by mounting the sample with nanowires on a stage designed for x-ray scattering. The setup is well suited for undergraduate students, who get training in sample alignment in a small lab instead of at a large-scale facility. The exact positions of the diffraction spots are calculated monitored experimentally for a 360o rotation of the sample. By fitting to this set of images, it is possible to determine the lattice vectors of the artificial crystal with an uncertainty of less than 1%.",

author = "Madsen, {Morten Hannibal} and Louise H{\o}pfner and Nina Rasmussen and Mikkel Stolborg and Jesper Nyg{\aa}rd and Feidenhans'l, {Robert Krarup} and Thomsen, {Jan Westenk{\ae}r}",

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AU - Madsen, Morten Hannibal

AU - Høpfner, Louise

AU - Rasmussen, Nina

AU - Stolborg, Mikkel

AU - Nygård, Jesper

AU - Feidenhans'l, Robert Krarup

AU - Thomsen, Jan Westenkær

PY - 2013/3/18

Y1 - 2013/3/18

N2 - An array of nanowires a laser pointer are used for a simple visualization of two-dimensional reciprocal space. The experiment can be performed without any preparation in any classroom. It aids the teaching of scattering experiments, illustrates the underlying principles of electron, x-ray, neutron scattering. A detailed study of the diffraction pattern was performed by mounting the sample with nanowires on a stage designed for x-ray scattering. The setup is well suited for undergraduate students, who get training in sample alignment in a small lab instead of at a large-scale facility. The exact positions of the diffraction spots are calculated monitored experimentally for a 360o rotation of the sample. By fitting to this set of images, it is possible to determine the lattice vectors of the artificial crystal with an uncertainty of less than 1%.

AB - An array of nanowires a laser pointer are used for a simple visualization of two-dimensional reciprocal space. The experiment can be performed without any preparation in any classroom. It aids the teaching of scattering experiments, illustrates the underlying principles of electron, x-ray, neutron scattering. A detailed study of the diffraction pattern was performed by mounting the sample with nanowires on a stage designed for x-ray scattering. The setup is well suited for undergraduate students, who get training in sample alignment in a small lab instead of at a large-scale facility. The exact positions of the diffraction spots are calculated monitored experimentally for a 360o rotation of the sample. By fitting to this set of images, it is possible to determine the lattice vectors of the artificial crystal with an uncertainty of less than 1%.

U2 - 10.1119/1.4773979

DO - 10.1119/1.4773979

M3 - Journal article

SN - 0002-9505

VL - 81

JO - American Journal of Physics

JF - American Journal of Physics

IS - 4

M1 - 274

ER -

A classroom demonstration of reciprocal space

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