D. E. Peplow and K. Verghese

"Measured Molecular Coherent Scattering Form Factors of Animal Tissues, Plastics and Human Breast Tissue"

Physics in Medicine & Biology 43, No. 9, 2431-2452 (1998)
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Article at PMB

Abstract:

Photon scattering angular distributions from various animal tissues were measured at two energies of a monochromatic synchrotron x-ray beam. Two plastics and human breast tissue were also measured. From these two measurements, the molecular coherent scattering form factor of each material was extracted. A new data analysis technique that uses Monte Carlo based corrections for air scattering, incoherent scattering and multiple scattering was used. The form factors of the sixteen materials are presented in tabular form, suitable for use in computer calculations.


Postscript File:

The entire article is available in postscript format here. You may have to change the paper size in your postscript viewer (such as ghostview) to "A4". You can also try to access the PMB electronic journals web site which has pdf and postscript versions of recent articles.


Legend: Coherent scattering form factor of water. Blue dotted line: using atomic form factors. Red solid line: the measured molecular coherent scattering form factor.


Other Sources of Data

Dr. Laurence Court (court@cme.canon.co.jp) is also working in this area and has a short list of other helpful resources. I have not checked them myself but they could be useful to researchers in this area.
  1. see http://aapm.org/medphys.html under data
  2. "The spectrum and angular distribution of x-rays scattered from a water phantom" by Cheng, C-W, Taylor, K.W. and Holloway, A.F. Medical Physics 22(8) pp 1235-1245, 1995
  3. Peplow & Verghese (1998),Phys Med & Biol vol 43,2431-2452 (this page)
  4. Dr Agostino tartari`s work, e.g Phys Med Biol, vol 42,(1997),1-10
  5. Hean-Ping Chan , Med Phys,1985,Mar/Apr,12(2). (yet his work didnot include the molecular intreference effects for coherent scattering , which may affect the output data).
  6. Concerening the energy dispersive method, you can see the work of : Shakeshaft et al 1997,Phys Med Biol,42,1403-1413 also you can see the work of Tartari et al 1994 Phys Med Biol,39,219-230.


Molecular Data:

These form factors were extracted from measurements of scattering distributions. The units of the following data sets are actually "F/SQRT(MW)" since most of these materials do not have a known chemical formula or molecular weight (MW).
  1. Molecular coherent form factors for all sixteen materials
    1. A reduced data set, interpolated at the same x values that Hubbell used in his set of relativistic atomic coherent form factors. Range of x is 0 to 10^10 per nm with 100 data points. Values in this table above x=10 per nm are atomic form factors from Hubbell & Øverbø. This is the data set that will appear in the publication.
      Also available with x in units of "per Angstrom"
    2. A full data set from the measured scattering distributions. Range of x is 0 to 13 per nm with 586 data points.
      Also available with x in units of "per Angstrom"
    3. Legend for the data sets above.

  2. More detailed files are also available for each material separately. These files contain four columns: x values (per nm), form factor using atomic form factors, measured molecular form factor and the uncertainty of the measured molecular form factor.
    1. Lucite
    2. Lexan
    3. Kapton
    4. water
    5. pork fat
    6. beef fat
    7. pork muscle
    8. beef muscle
    9. pork kidney
    10. beef kidney
    11. pork liver
    12. beef liver
    13. pork heart
    14. beef blood
    15. human breast tissue
    16. formaline

  3. Composition data that was used for these 16 materials.


Atomic Data:

Atomic form factor data, for elements 1 through 20 (H to Ca):
Units are: x in per angstrom.
Form factors range from 0 to Z, incoherent scattering factors range from Z to 0.
  1. Coherent and Incoherent data tables with 45 x values (0 to 10^9 per angstrom) from
    Hubbell J H, Veigele W J, Briggs E A, Brown R T, Cromer D T and Howerton R J 1975
    "Atomic Form Factors, Incoherent Scattering Functions, and Photon Cross Sections"
    J. Phys. Chem. Ref. Data 4 471-538
    Hubbell J H, Veigele W J, Briggs E A, Brown R T, Cromer D T and Howerton R J 1977
    "Erratum: Atomic Form Factors, Incoherent Scattering Functions, and Photon Cross Sections"
    J. Phys. Chem. Ref. Data 6 615-616
  2. Relativistic Coherent data tables with 100 x values (0 to 10^9 per angstrom) from
    Hubbell J H and Øverbø I 1979
    "Relativistic Atomic Form Factors and Photon Coherent Cross Sections"
    J. Phys. Chem. Ref. Data 8 69-105


References

Boone J M 1992 Parameterized x-ray absorption in diagnostic radiology from Monte Carlo calculations: implications for x-ray detector design Med. Phys. 19 1467-73
AIP Hosted Article | Inspec Abstract | PubMed Abstract | Order from Infotrieve
Chan H P and Doi K 1983 Energy and angular dependence of x-ray absorption and its effect on radiographic response in screen-film systems Phys. Med. Biol. 28 565-79
IOP Article
Chapman D, Thomlinson W, Johnston R E, Washburn D, Pisano E, Gmür N, Zhong Z, Menk R, Arfelli F and Sayers D 1997 Diffraction enhanced x-ray imaging Phys. Med. Biol. 42 2015-25
IOP Article
Evans S H, Bradley D A, Dance D R, Bateman J E and Jones C H 1991 Measurement of small-angle photon scattering for some breast tissues and tissue substitute materials Phys. Med. Biol. 36 7-18
IOP Article
Guy L P, Taylor R B and Whittingham I B 1992 Incoherent scattering function at small momentum transfer Nucl. Instrum. Methods B 69 174-7
CrossRef Link | Inspec Abstract | Order from Infotrieve
Hubbell J H and Øverbø I 1979 Relativistic atomic form factors and photon coherent cross sections J. Phys. Chem. Ref. Data 8 69-105
AIP Hosted Article | Inspec Abstract | Order from Infotrieve
Hubbell J H, Veigele W J, Briggs E A, Brown R T, Cromer D T and Howerton R J 1975 Atomic form factors, incoherent scattering functions, and photon cross sections J. Phys. Chem. Ref. Data 4 471-538
AIP Hosted Article | Inspec Abstract | Order from Infotrieve
Hubbell J H, Veigele W J, Briggs E A, Brown R T, Cromer D T and Howerton R J 1977 Erratum: atomic form factors, incoherent scattering functions, and photon cross sections J. Phys. Chem. Ref. Data 6 615-16
AIP Hosted Article | Order from Infotrieve
ICRU 1992 Photon, electron, proton, and neutron interaction data for body tissues ICRU Report 46 (Bethesda, MD: ICRU)
Johns P C and Yaffe M J 1983 Coherent scattering in diagnostic radiology Med. Phys. 10 40-50
Johnston R E, Washburn D, Pisano E, Burns C, Thomlinson W, Chapman L D, Arfelli F, Gmür N F, Zhong Z and Sayers D E 1996 Mammographic phantom studies with synchrotron radiation Radiology 200 659-63
Inspec Abstract | ChemPort Abstract | PubMed Abstract | Order from Infotrieve
Kosanetzky J, Knoerr B, Harding G and Neitzel U 1987 X-ray diffraction measurements of some plastic materials and body tissues Med. Phys. 14 526-32
AIP Hosted Article | Inspec Abstract | PubMed Abstract | Order from Infotrieve
Leliveld C J, Maas J G, Bom V R and van Eijk C W E 1996 Monte Carlo modelling of coherent scattering: influence of interference IEEE Trans. Nuc. Sci. 43 3315-21
CrossRef Link | ChemPort Abstract
Narten A H 1970 X-ray diffraction data on liquid water in the temperature range 4 to 200°C Report ORNL-4578 (Oak Ridge, TN: Oak Ridge National Laboratory)
Narten A H and Levy H A 1971 Liquid water: molecular correlation functions from x-ray diffraction J. Chem. Phys. 55 2263-9
Inspec Abstract | Order from Infotrieve
Tartari A, Casnati E, Bonifazzi C and Baraldi C 1997b Molecular differential cross sections for x-ray coherent scattering in fat and polymethyl methacrylate Phys. Med. Biol. 42 2551-60
IOP Article
Tartari A, Casnati E, Bonifazzi C and Paganetto G 1997a Photon scattering by compounds: an assessment of the validity of the independent atomic model approximation X-Ray Spectrom. 26 169-73
CrossRef Link | ChemPort Abstract | Order from Infotrieve


Is This Useful?

If you download any of this information, please let me know. If no one seems to be using this stuff, I won't bother to tie up my web page space with it.

Thanks,
Douglas E. Peplow
peplowde@ornl.gov


This document was last updated 980527.
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