BSD 3-Clause License

Copyright (c) 2026, Sayan Samanta
All rights reserved.

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   list of conditions and the following disclaimer.

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================================================================================
THIRD-PARTY NOTICES
================================================================================

This product includes software and data derived from third-party projects.
Their original copyright notices and license terms are reproduced below and
continue to apply to the corresponding portions of this work.

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1. spglib — https://github.com/spglib/spglib  (BSD-3-Clause)
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The symmetry core of this library (space-group determination, lattice reduction,
cell refinement, magnetic space-group machinery, and reciprocal-space/k-point
reduction) is a C++ port of spglib's C implementation, and the bundled
crystallographic data tables generated under tools/ — including the space-group
(spacegroup_*), magnetic space-group (msg_*), site-symmetry (sitesym_*), and
Hall-symbol generator (hall_generators*) tables — are transcribed from spglib's
source (targeting spglib v2.7.0). These portions are governed by the following
license:

    Copyright (c) 2024, Spglib team

    Redistribution and use in source and binary forms, with or without
    modification, are permitted provided that the following conditions
    are met:

    * Redistributions of source code must retain the above copyright
      notice, this list of conditions and the following disclaimer.
    * Redistributions in binary form must reproduce the above copyright
      notice, this list of conditions and the following disclaimer in the
      documentation and/or other materials provided with the distribution.
    * Neither the name of the Spglib team nor the
      names of its contributors may be used to endorse or promote products
      derived from this software without specific prior written permission.

    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
    "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
    LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
    A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
    HOLDER BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
    EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
    PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
    PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
    LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
    NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
    SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

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2. PyXtal — https://github.com/MaterSim/PyXtal  (MIT)
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The rod-group (1D-periodic) symmetry-operation tables
(include/seitz/data/rod_group_tables.hpp, generated by
tools/transcribe_rod_groups.py) are transcribed from PyXtal's rod-group data.
The object-oriented, generation-focused API design is also influenced by PyXtal.
These portions are governed by the following license:

    MIT License

    Copyright 2018 Scott Fredericks, Qiang Zhu

    Permission is hereby granted, free of charge, to any person obtaining a copy
    of this software and associated documentation files (the "Software"), to deal
    in the Software without restriction, including without limitation the rights
    to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
    copies of the Software, and to permit persons to whom the Software is
    furnished to do so, subject to the following conditions:

    The above copyright notice and this permission notice shall be included in all
    copies or substantial portions of the Software.

    THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
    IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
    FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
    AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
    LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
    OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
    SOFTWARE.

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3. Element covalent radii
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The element covalent-radius data (tools/element_data.csv, compiled into
include/seitz/data/element_tables.hpp) is taken from:

    B. Cordero et al., "Covalent radii revisited," Dalton Trans., 2008,
    2832-2838. doi:10.1039/B801115J

Scientific data values are not subject to copyright; the citation is provided
for attribution.

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4. kokkos/mdspan — https://github.com/kokkos/mdspan  (Apache-2.0 WITH LLVM-exception)
--------------------------------------------------------------------------------

include/seitz/third_party/mdspan.hpp is the single-header reference
implementation of std::mdspan (P0009 and follow-ups) from the kokkos/mdspan
project, vendored verbatim at the commit recorded in
tools/mdspan_vendor_diff.py. It is bound into this library only through
include/seitz/core/mdspan.hpp. It is governed by the Apache License,
Version 2.0, with LLVM exceptions:

    Copyright (2022) National Technology & Engineering Solutions of Sandia,
    LLC (NTESS). Under the terms of Contract DE-NA0003525 with NTESS, the
    U.S. Government retains certain rights in this software.

    Part of Kokkos, under the Apache License v2.0 with LLVM Exceptions.
    See https://kokkos.org/LICENSE for license information.
    SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
