upper level precession photography and the lorentz-polarization correction. part ii

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Upper Level Precession Photography and the LorentzPolarization Correction. Part II H. J. GrenvilleWells and S. C. Abrahams Citation: Review of Scientific Instruments 23, 328 (1952); doi: 10.1063/1.1746267 View online: http://dx.doi.org/10.1063/1.1746267 View Table of Contents: http://scitation.aip.org/content/aip/journal/rsi/23/7?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Erratum: Some Comments on UpperLevel Precession Photography Rev. Sci. Instrum. 26, 888 (1955); 10.1063/1.1715337 Some Comments on Upper Level Precession Photography Rev. Sci. Instrum. 26, 612 (1955); 10.1063/1.1715260 Crystal Settings for Upper Level Photography, Precession Method Rev. Sci. Instrum. 25, 928 (1954); 10.1063/1.1771222 Upper Level Precession Photography and the LorentzPolarization Correction. Part I Rev. Sci. Instrum. 23, 321 (1952); 10.1063/1.1746266 Lorentz and Polarization Correction for the Buerger Precession Method Rev. Sci. Instrum. 22, 567 (1951); 10.1063/1.1746005 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitationnew.aip.org/termsconditions. Downloaded to IP: 130.216.129.208 On: Tue, 25 Nov 2014 03:47:21

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Page 1: Upper Level Precession Photography and the Lorentz-Polarization Correction. Part II

Upper Level Precession Photography and the LorentzPolarization Correction. PartIIH. J. GrenvilleWells and S. C. Abrahams Citation: Review of Scientific Instruments 23, 328 (1952); doi: 10.1063/1.1746267 View online: http://dx.doi.org/10.1063/1.1746267 View Table of Contents: http://scitation.aip.org/content/aip/journal/rsi/23/7?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Erratum: Some Comments on UpperLevel Precession Photography Rev. Sci. Instrum. 26, 888 (1955); 10.1063/1.1715337 Some Comments on Upper Level Precession Photography Rev. Sci. Instrum. 26, 612 (1955); 10.1063/1.1715260 Crystal Settings for Upper Level Photography, Precession Method Rev. Sci. Instrum. 25, 928 (1954); 10.1063/1.1771222 Upper Level Precession Photography and the LorentzPolarization Correction. Part I Rev. Sci. Instrum. 23, 321 (1952); 10.1063/1.1746266 Lorentz and Polarization Correction for the Buerger Precession Method Rev. Sci. Instrum. 22, 567 (1951); 10.1063/1.1746005

This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitationnew.aip.org/termsconditions. Downloaded to IP:

130.216.129.208 On: Tue, 25 Nov 2014 03:47:21

Page 2: Upper Level Precession Photography and the Lorentz-Polarization Correction. Part II

THE REVIEW OF SCIENTIFIC INSTRUMENTS VOLUME 23, NUMBER 7 JULY, 1952

Upper Level Precession Photography and the Lorentz-Polarization Correction. Part II*

H. J. GRENVILLE-WELLS AND S. C. ABRAHAMS

Laboratory for Insulation Research, Massachusetts Institute of Technology, Cambridge, Massachusetts

(Received December 3, 1951)

CHARTS are presented of the Lorentz-polarization correction for upper level precession photographs

obtained with a precession angle ,ii=30°. Seven charts, comparable with Waser's Lorentz-polarization correc­tion chart for the zero level, are given at intervals of 0.05 rIu above the zero level, corresponding to a magnification factor F= 5.5 cm. .

In Part 1,1 the Lorentz polarization correction for precession photographs with the precession angle ,ii=30° has been evaluated at about 1300 points in reciprocal space. The most convenient way of expressing this function is probably in the form of charts compar­able with Waser's2 chart for the Lorentz polarization correction of the zero level in precession photographs. A set of charts, Figs. 1-7, derived from large scale drawings of Figs. 1-7 in Part I, are now offered, drawn

(.O.O~r.1.u. obovt t!l'O foyer.

at intervals of 0.05 rIu above the zero level. The errors in these diagrams are comparable with the error of about 0.35 percent in the evaluated function.

Figures 1-7 may be used directly with upper level precession photographs having a magnification factor3 F=S.S cm. Corrections for reciprocal levels at inter­mediate heights may be made by linear interpolation, this operation becoming very rapid if the charts are reproduced on transparent film, and if the reciprocal lattice is drawn out, instead of using the film directly. In these charts, the horizontal direction is parallel with the oscillation axis of the crystal, 7=0°.

ACKNOWLEDGMENT

We wish to thank Dr. R. D. Burbank for making his charts available to us prior to publication.

FIG. 1. Lorentz polarization correction chart at .I = 0.05 rlu above the zero level, ,ii=30°.

* This work has been sponsored jointly by the ONR, the Army Signal Corps, and the Air Force under ONR contracts N5ori-07801 and N5ori-07858.

1 R. D. Burbank, Rev. Sci. lnstr. 23, 321 (1952). 2 J. Waser, Rev. Sci. lnstr. 22, 567 (1951). 3 M. J. Buerger, "The photography of the reciprocal lattice," Am. Soc. X-ray and Electron Diffraction Monograph No.1 (1944).

328

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Page 3: Upper Level Precession Photography and the Lorentz-Polarization Correction. Part II

UPPER LEVEL PRECESSION PHOTOGRAPHY. PART II

FIG. 2. Lorentz polarization correction chart at t=O.1O rIu above the zero level, jl=30°.

FIG. 3. Lorentz polarization correction chart at t=0.15 rIu above the zero level, ji=30°.

329

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Page 4: Upper Level Precession Photography and the Lorentz-Polarization Correction. Part II

330 H. J. GRENVILLE.WELLS AND S. C. ABRAHAMS

t-O.20r.!.u. Cl~ rero loyer.

FIG. 4. Lorentz polarization correction chart at t= 0.20 rlu above the zero level, ji = 30°.

FIG. 5. Lorentz polarization correction chart at t=0.25 rlu above the zero level, ji=30°.

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Page 5: Upper Level Precession Photography and the Lorentz-Polarization Correction. Part II

UPPER LEVEL PRECESSION PHOTOGRAPHY. PART II

FIG. 6. Lorentz polarization correction chart at \=0.30 rlu above the zero level, jl=30°.

FIG. 7. Lorentz polarization correction chart at \=0.35 rlu above the zero level, jl=30°.

t -0.30 rlu above zero layer

,-0,35 r,l.u. above zero loyer.

331

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