### Abstract

In the phase retrieval (PR) calculations of experimentally obtained diffraction patterns, it is not easy to find the correct electron density maps due to the lack of diffraction patterns around the zero-scattering angle and the Poisson noise in detecting the X-ray photons. In this chapter, we present some approaches to obtain the correct electron density maps from experimental diffraction patterns. The first is the multivariate analysis of a large number of PR maps. The second is the introduction of a similarity score to extract the correct electron density maps. The third is the dark-field PR method applied to diffraction patterns with missing small-angle regions. The algorithms presented would be helpful in solving the phase problem in the structural analyses of non-crystalline particles.

Original language | English |
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Title of host publication | Springer Series in Optical Sciences |

Publisher | Springer Verlag |

Pages | 141-159 |

Number of pages | 19 |

DOIs | |

Publication status | Published - 2018 Jan 1 |

### Publication series

Name | Springer Series in Optical Sciences |
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Volume | 210 |

ISSN (Print) | 0342-4111 |

ISSN (Electronic) | 1556-1534 |

### Fingerprint

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials

### Cite this

*Springer Series in Optical Sciences*(pp. 141-159). (Springer Series in Optical Sciences; Vol. 210). Springer Verlag. https://doi.org/10.1007/978-4-431-56618-2_7

**Phase retrieval of diffraction patterns.** / Nakasako, Masayoshi.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Springer Series in Optical Sciences.*Springer Series in Optical Sciences, vol. 210, Springer Verlag, pp. 141-159. https://doi.org/10.1007/978-4-431-56618-2_7

}

TY - CHAP

T1 - Phase retrieval of diffraction patterns

AU - Nakasako, Masayoshi

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the phase retrieval (PR) calculations of experimentally obtained diffraction patterns, it is not easy to find the correct electron density maps due to the lack of diffraction patterns around the zero-scattering angle and the Poisson noise in detecting the X-ray photons. In this chapter, we present some approaches to obtain the correct electron density maps from experimental diffraction patterns. The first is the multivariate analysis of a large number of PR maps. The second is the introduction of a similarity score to extract the correct electron density maps. The third is the dark-field PR method applied to diffraction patterns with missing small-angle regions. The algorithms presented would be helpful in solving the phase problem in the structural analyses of non-crystalline particles.

AB - In the phase retrieval (PR) calculations of experimentally obtained diffraction patterns, it is not easy to find the correct electron density maps due to the lack of diffraction patterns around the zero-scattering angle and the Poisson noise in detecting the X-ray photons. In this chapter, we present some approaches to obtain the correct electron density maps from experimental diffraction patterns. The first is the multivariate analysis of a large number of PR maps. The second is the introduction of a similarity score to extract the correct electron density maps. The third is the dark-field PR method applied to diffraction patterns with missing small-angle regions. The algorithms presented would be helpful in solving the phase problem in the structural analyses of non-crystalline particles.

UR - http://www.scopus.com/inward/record.url?scp=85044822382&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044822382&partnerID=8YFLogxK

U2 - 10.1007/978-4-431-56618-2_7

DO - 10.1007/978-4-431-56618-2_7

M3 - Chapter

AN - SCOPUS:85044822382

T3 - Springer Series in Optical Sciences

SP - 141

EP - 159

BT - Springer Series in Optical Sciences

PB - Springer Verlag

ER -