Concepedia

Lattice Basis

Lattice Basis is a mathematical construct in crystallography that specifies the minimal set of atomic positions repeated by the translational symmetry of a Bravais lattice to generate the crystal structure.

502

Publications

27.7K

Citations

990

Authors

443

Institutions

Publications per year

2017–2026

34

Variants

Basis Of A Lattice

Parents

Publications

502

Electrons in lattice fields

H. Fröhlich · Advances In Physics · 1954 · 2K citations

, , +11

Lattice basis reduction: Improved practical algorithms and solving subset sum problems

C. P. Schnorr, M. Euchner · Mathematical Programming · 1994 · 1.4K citations

, , +13

Continuous distributions of dislocations: a new application of the methods of non-Riemannian geometry

B. A. Bilby, R. Bullough, Edwin Smith · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1955 · 757 citations

, , +14

A hierarchy of polynomial time lattice basis reduction algorithms

C. P. Schnorr · Theoretical Computer Science · 1987 · 643 citations · Full text

, , +9

Representation of Distributive Lattices by means of ordered Stone Spaces

H. A. Priestley · Bulletin of the London Mathematical Society · 1970 · 614 citations

, , +8

1–5 of 502

Authors

990

  1. GG
    George Grätzer

    University of Manitoba, Canada

    8 publications · 346 citations

    8

    h-index

  2. JC
    Jeffrey C. Lagarias

    AT&T (United States), United States

    6 publications · 906 citations

    6

    h-index

  3. AF
    A. F. Wells

    Council for Scientific and Industrial Research, South Africa

    5 publications · 115 citations

    5

    h-index

  4. CP
    C. P. Schnorr

    Goethe University Frankfurt, Germany

    5 publications · 2.3K citations

    5

    h-index

  5. GM
    G. Martinelli

    Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Italy

    4 publications · 517 citations

    4

    h-index

1–5 of 990

Institutions

443

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    24 publications

    635 citations

  2. Goethe University Frankfurt

    Frankfurt am Main, Germany

    10 h-index

    12 publications

    4.3K citations

  3. University of Waterloo

    Waterloo, Canada

    6 h-index

    16 publications

    763 citations

  4. University of Manitoba

    Winnipeg, Canada

    6 h-index

    8 publications

    138 citations

  5. UNSW Sydney

    Sydney, Australia

    6 h-index

    10 publications

    269 citations

  6. Georgia Institute of Technology

    Atlanta, United States

    5 h-index

    7 publications

    828 citations

  7. Université Claude Bernard Lyon 1

    Villeurbanne, France

    5 h-index

    7 publications

    142 citations

  8. North Carolina State University

    Raleigh, United States

    5 h-index

    7 publications

    272 citations

1–8 of 443

Venues

  1. Algebra Universalis

    17 publications · 546 citations

    14

    h-index

  2. Acta Crystallographica

    14 publications · 392 citations

    12

    h-index

  3. Nuclear Physics B

    12 publications · 856 citations

    12

    h-index

  4. Physics Letters B

    8 publications · 198 citations

    8

    h-index

  5. Journal of Algebra

    7 publications · 211 citations

    7

    h-index

1–5