# 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} }

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… Expand

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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