A Direct Method for the Determination of the Components of Interatomic Distances in Crystals

@article{Patterson1935ADM,
  title={A Direct Method for the Determination of the Components of Interatomic Distances in Crystals},
  author={A. L. Patterson},
  journal={Zeitschrift f{\"u}r Kristallographie - Crystalline Materials},
  year={1935},
  volume={90},
  pages={517 - 542}
}
  • A. L. Patterson
  • Published 1 October 1935
  • Mathematics
  • Zeitschrift für Kristallographie - Crystalline Materials
In a recent publication) the author has given a brief account of a new method for the direct determination of the components of interatomic distances in crystals. The method is based on the application of the results of the theory of Four i e r series. I t is the object of the present paper to give a more detailed account of the underlying theory and to describe the application of the method to specific examples. In addition, two new results are presented which promise to increase the… 

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References

SHOWING 1-2 OF 2 REFERENCES

Α., and L i p s o n

  • H., Proc. Roy. Soc. London A
  • 1934

idem. p. 283. 2) P a t t e r s o n

  • xiVi
  • 1924