Abstract

The longitudinal coherence function at the Advanced Photon Source beamline 34-ID-C has been measured by a novel method and the coherence length (ξL) determined to be, ξL = 0.66 ± 0.02µm. Three dimensional Coherent X-ray Diffraction (CXD) patterns were measured for multiple Bragg reflections from two Zinc Oxide (ZnO) nanorods with differing aspect ratios. The visibility of fringes corresponding to the 002 crystal direction for each reflection were found to be different and used to map the coherence function of the incident radiation. Partial coherence was found to be associated with amplitude ‘hot’ spots in three dimensional reconstructions of the crystal structure.

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  1. I. A. Vartanyants and I. K. Robinson, “Partial coherence effects on the imaging of small crystals using Coherent X-ray Diffraction,” J. Phys. Condens. Matter 13(47), 10593–10611 (2001).
    [CrossRef]
  2. G. Grübel and F. Zontone, “Correlation spectroscopy with coherent X-rays,” J. Alloy. Comp. 362(1-2), 1–2, 3–11 (2004).
    [CrossRef]
  3. S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
    [CrossRef]
  4. B. Lengeler, “Coherence in X-ray physics,” Nature 88(6), 249–260 (2001).
  5. F. Livet, “Diffraction with a coherent X-ray beam: dynamics and imaging,” Acta Crystallogr. A 63(2), 87–107 (2007).
    [CrossRef] [PubMed]
  6. I. K. Robinson, C. A. Kenney-Benson, and I. A. Vartaniants, “Sources of decoherence in beamline optics,” Physica B 336(1-2), 56–62 (2003).
    [CrossRef]
  7. D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5(6), 843 (1952).
    [CrossRef]
  8. J. R. Fienup, “Reconstructions of an object from the modulus of its Fourier transform,” Opt. Lett. 3(1), 27–29 (1978).
    [CrossRef] [PubMed]
  9. G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
    [CrossRef]
  10. M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
    [CrossRef]
  11. S. Marchesini, “Invited article: a [corrected] unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78(1), 011301 (2007).
    [CrossRef] [PubMed]
  12. M. Born, and E. Wolf, Principles of Optics, (Cambridge University Press, 1999), Chap. 10.
  13. F. Veen and F. Pfeiffer, “Coherent x-ray scattering,” J. Phys. Condens. Matter 16(28), 5003–5030 (2004).
    [CrossRef]
  14. J. Als-Nielsen, and D. McMorrow, Elements of Modern X-ray Physics, (John Wiley & Sons, 2001).
  15. M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
    [CrossRef]
  16. M. A. Pfeiffer, PhD thesis, University of Illinois (2005).
  17. R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
    [CrossRef]
  18. W. L. Bragg, “The diffraction of short electromagnetic waves by a crystal,” Proc. Camb. Philos. Soc. 17, 43–57 (1913).
  19. A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
    [CrossRef] [PubMed]

2007 (3)

F. Livet, “Diffraction with a coherent X-ray beam: dynamics and imaging,” Acta Crystallogr. A 63(2), 87–107 (2007).
[CrossRef] [PubMed]

S. Marchesini, “Invited article: a [corrected] unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78(1), 011301 (2007).
[CrossRef] [PubMed]

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

2006 (3)

M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
[CrossRef]

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
[CrossRef]

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

2004 (2)

G. Grübel and F. Zontone, “Correlation spectroscopy with coherent X-rays,” J. Alloy. Comp. 362(1-2), 1–2, 3–11 (2004).
[CrossRef]

F. Veen and F. Pfeiffer, “Coherent x-ray scattering,” J. Phys. Condens. Matter 16(28), 5003–5030 (2004).
[CrossRef]

2003 (2)

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

I. K. Robinson, C. A. Kenney-Benson, and I. A. Vartaniants, “Sources of decoherence in beamline optics,” Physica B 336(1-2), 56–62 (2003).
[CrossRef]

2001 (2)

B. Lengeler, “Coherence in X-ray physics,” Nature 88(6), 249–260 (2001).

I. A. Vartanyants and I. K. Robinson, “Partial coherence effects on the imaging of small crystals using Coherent X-ray Diffraction,” J. Phys. Condens. Matter 13(47), 10593–10611 (2001).
[CrossRef]

1996 (1)

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

1978 (1)

1952 (1)

D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5(6), 843 (1952).
[CrossRef]

1913 (1)

W. L. Bragg, “The diffraction of short electromagnetic waves by a crystal,” Proc. Camb. Philos. Soc. 17, 43–57 (1913).

Baron, A. Q. R.

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Basu, J. K.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Borthwick, M.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Bragg, W. L.

W. L. Bragg, “The diffraction of short electromagnetic waves by a crystal,” Proc. Camb. Philos. Soc. 17, 43–57 (1913).

Chumakov, A. I.

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Falus, P.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Fienup, J. R.

Firth, S.

M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
[CrossRef]

Grübel, G.

G. Grübel and F. Zontone, “Correlation spectroscopy with coherent X-rays,” J. Alloy. Comp. 362(1-2), 1–2, 3–11 (2004).
[CrossRef]

Grünsteudel, H.

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Grünsteudel, H. F.

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Harder, R.

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

Kenney-Benson, C. A.

I. K. Robinson, C. A. Kenney-Benson, and I. A. Vartaniants, “Sources of decoherence in beamline optics,” Physica B 336(1-2), 56–62 (2003).
[CrossRef]

Kim, H. J.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Lal, J.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Lengeler, B.

B. Lengeler, “Coherence in X-ray physics,” Nature 88(6), 249–260 (2001).

Livet, F.

F. Livet, “Diffraction with a coherent X-ray beam: dynamics and imaging,” Acta Crystallogr. A 63(2), 87–107 (2007).
[CrossRef] [PubMed]

Lumma, D.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Lurio, L. B.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Marchesini, S.

S. Marchesini, “Invited article: a [corrected] unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78(1), 011301 (2007).
[CrossRef] [PubMed]

Matsuura, T.

M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
[CrossRef]

Meyer, A.

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Mochrie, S. G. J.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Newton, M.

M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
[CrossRef]

Pfeifer, M. A.

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
[CrossRef]

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

Pfeiffer, F.

F. Veen and F. Pfeiffer, “Coherent x-ray scattering,” J. Phys. Condens. Matter 16(28), 5003–5030 (2004).
[CrossRef]

Robinson, I. K.

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
[CrossRef]

I. K. Robinson, C. A. Kenney-Benson, and I. A. Vartaniants, “Sources of decoherence in beamline optics,” Physica B 336(1-2), 56–62 (2003).
[CrossRef]

I. A. Vartanyants and I. K. Robinson, “Partial coherence effects on the imaging of small crystals using Coherent X-ray Diffraction,” J. Phys. Condens. Matter 13(47), 10593–10611 (2001).
[CrossRef]

Rüffer, R.

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Ruhm, A.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Sayre, D.

D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5(6), 843 (1952).
[CrossRef]

Sinha, S. K.

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Vartaniants, I. A.

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

I. K. Robinson, C. A. Kenney-Benson, and I. A. Vartaniants, “Sources of decoherence in beamline optics,” Physica B 336(1-2), 56–62 (2003).
[CrossRef]

Vartanyants, I. A.

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
[CrossRef]

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

I. A. Vartanyants and I. K. Robinson, “Partial coherence effects on the imaging of small crystals using Coherent X-ray Diffraction,” J. Phys. Condens. Matter 13(47), 10593–10611 (2001).
[CrossRef]

Veen, F.

F. Veen and F. Pfeiffer, “Coherent x-ray scattering,” J. Phys. Condens. Matter 16(28), 5003–5030 (2004).
[CrossRef]

Warburton, P.

M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
[CrossRef]

Williams, G. J.

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
[CrossRef]

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

Zontone, F.

G. Grübel and F. Zontone, “Correlation spectroscopy with coherent X-rays,” J. Alloy. Comp. 362(1-2), 1–2, 3–11 (2004).
[CrossRef]

Acta Crystallogr. (1)

D. Sayre, “Some implications of a theorem due to Shannon,” Acta Crystallogr. 5(6), 843 (1952).
[CrossRef]

Acta Crystallogr. A (1)

F. Livet, “Diffraction with a coherent X-ray beam: dynamics and imaging,” Acta Crystallogr. A 63(2), 87–107 (2007).
[CrossRef] [PubMed]

J. Alloy. Comp. (1)

G. Grübel and F. Zontone, “Correlation spectroscopy with coherent X-rays,” J. Alloy. Comp. 362(1-2), 1–2, 3–11 (2004).
[CrossRef]

J. Phys. Condens. Matter (2)

I. A. Vartanyants and I. K. Robinson, “Partial coherence effects on the imaging of small crystals using Coherent X-ray Diffraction,” J. Phys. Condens. Matter 13(47), 10593–10611 (2001).
[CrossRef]

F. Veen and F. Pfeiffer, “Coherent x-ray scattering,” J. Phys. Condens. Matter 16(28), 5003–5030 (2004).
[CrossRef]

J. Phys. Conf. Ser. (1)

M. Newton, S. Firth, T. Matsuura, and P. Warburton, “Synthesis and characterization of zinc oxide tetrapod nanocrystals,” J. Phys. Conf. Ser. 26, 251–255 (2006).
[CrossRef]

Nature (2)

M. A. Pfeifer, G. J. Williams, I. A. Vartanyants, R. Harder, and I. K. Robinson, “Three-dimensional mapping of a deformation field inside a Nanocrystal,” Nature 42(7098), 63–66 (2006).
[CrossRef]

B. Lengeler, “Coherence in X-ray physics,” Nature 88(6), 249–260 (2001).

Opt. Lett. (1)

Phys. Rev. B (2)

G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Internal structure in small Au crystals resolved by three-dimensional inversion of coherent x-ray diffraction,” Phys. Rev. B 73(9), 094112 (2006).
[CrossRef]

R. Harder, M. A. Pfeifer, G. J. Williams, I. A. Vartaniants, and I. K. Robinson, “Orientation variation of surface strain,” Phys. Rev. B 76(11), 115425 (2007).
[CrossRef]

Phys. Rev. Lett. (1)

A. I. Chumakov, A. Q. R. Baron, R. Rüffer, H. Grünsteudel, H. F. Grünsteudel, and A. Meyer, “Nuclear resonance energy analysis of inelastic x-ray scattering,” Phys. Rev. Lett. 76(22), 4258–4261 (1996).
[CrossRef] [PubMed]

Physica B (2)

I. K. Robinson, C. A. Kenney-Benson, and I. A. Vartaniants, “Sources of decoherence in beamline optics,” Physica B 336(1-2), 56–62 (2003).
[CrossRef]

S. G. J. Mochrie, L. B. Lurio, A. Ruhm, D. Lumma, M. Borthwick, P. Falus, H. J. Kim, J. K. Basu, J. Lal, and S. K. Sinha, “X-ray photon correlation spectroscopy studies of colloidal diffusion and the capillary modes of polymer films,” Physica B 336(1-2), 173–180 (2003).
[CrossRef]

Proc. Camb. Philos. Soc. (1)

W. L. Bragg, “The diffraction of short electromagnetic waves by a crystal,” Proc. Camb. Philos. Soc. 17, 43–57 (1913).

Rev. Sci. Instrum. (1)

S. Marchesini, “Invited article: a [corrected] unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum. 78(1), 011301 (2007).
[CrossRef] [PubMed]

Other (3)

M. Born, and E. Wolf, Principles of Optics, (Cambridge University Press, 1999), Chap. 10.

J. Als-Nielsen, and D. McMorrow, Elements of Modern X-ray Physics, (John Wiley & Sons, 2001).

M. A. Pfeiffer, PhD thesis, University of Illinois (2005).

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Figures (4)

Fig. 1
Fig. 1

Schematic of diffraction from point scatters A,B and C for OPLD calculation; OPLDAB = 0, OPLDAC = 2BCsinθ

Fig. 2
Fig. 2

Measured intensity as a function of momentum transfer deviation along the 002 crystal direction (reciprocal space) demonstrating the 002 fringe visibility for 5 different Bragg peaks from the first ZnO nanocrystal (Left), Corresponding 3D render of diffraction data and line of sampled points (Right)

Fig. 3
Fig. 3

Visibility as a function of OPLD for 16 Bragg reflections measured from 2 separate ZnO crystals.

Fig. 4
Fig. 4

Corresponding isosurface and scalar cut planes of the reconstructed density of crystal 1 using diffraction data surrounding the 010 and 101 Bragg reflections, as labeled.

Equations (2)

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V=ImaxIminImax+Imin
I(y)=I0a/2a/2(a|x|)γ(x)exp(ikyxD)dx

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