{
  "alternatives": [],
  "meta": {
    "api_version": "v1",
    "attribution": "lithium-niobate.com data compiled by Wentao Jiang; cite the original sources listed per value.",
    "data_version": "0.1.0",
    "documentation": "https://lithium-niobate.com/api/openapi.json",
    "license": {
      "id": "CC-BY-4.0",
      "name": "Creative Commons Attribution 4.0 International",
      "url": "https://creativecommons.org/licenses/by/4.0/"
    },
    "tensor": "elastic-compliance-sE",
    "variant": "cln"
  },
  "recommended": {
    "conditions": {
      "electrical_boundary": "E"
    },
    "default": true,
    "frame": {
      "convention": "unstated",
      "handedness": "right",
      "setting": "crystal-physics",
      "x": "a axis, perpendicular to a mirror plane",
      "y": "in a mirror plane",
      "z": "polar c axis",
      "z_sign_definition": "not stated in this record; tensor form matches this frame by symmetry"
    },
    "full": [
      [
        [
          [
            5.85352,
            0.0,
            0.0
          ],
          [
            0.0,
            -1.18173,
            -0.460201
          ],
          [
            0.0,
            -0.460201,
            -1.35637
          ]
        ],
        [
          [
            0.0,
            3.517625,
            -0.460201
          ],
          [
            3.517625,
            0.0,
            0.0
          ],
          [
            -0.460201,
            0.0,
            0.0
          ]
        ],
        [
          [
            0.0,
            -0.460201,
            4.237325
          ],
          [
            -0.460201,
            0.0,
            0.0
          ],
          [
            4.237325,
            0.0,
            0.0
          ]
        ]
      ],
      [
        [
          [
            0.0,
            3.517625,
            -0.460201
          ],
          [
            3.517625,
            0.0,
            0.0
          ],
          [
            -0.460201,
            0.0,
            0.0
          ]
        ],
        [
          [
            -1.18173,
            0.0,
            0.0
          ],
          [
            0.0,
            5.85352,
            0.460201
          ],
          [
            0.0,
            0.460201,
            -1.35637
          ]
        ],
        [
          [
            -0.460201,
            0.0,
            0.0
          ],
          [
            0.0,
            0.460201,
            4.237325
          ],
          [
            0.0,
            4.237325,
            0.0
          ]
        ]
      ],
      [
        [
          [
            0.0,
            -0.460201,
            4.237325
          ],
          [
            -0.460201,
            0.0,
            0.0
          ],
          [
            4.237325,
            0.0,
            0.0
          ]
        ],
        [
          [
            -0.460201,
            0.0,
            0.0
          ],
          [
            0.0,
            0.460201,
            4.237325
          ],
          [
            0.0,
            4.237325,
            0.0
          ]
        ],
        [
          [
            -1.35637,
            0.0,
            0.0
          ],
          [
            0.0,
            -1.35637,
            0.0
          ],
          [
            0.0,
            0.0,
            5.05782
          ]
        ]
      ]
    ],
    "id": "elastic-compliance-sE/cln/kushibiki1999",
    "independent": {
      "s11": {
        "value": 5.85352
      },
      "s12": {
        "value": -1.18173
      },
      "s13": {
        "value": -1.35637
      },
      "s14": {
        "value": -0.920402
      },
      "s33": {
        "value": 5.05782
      },
      "s44": {
        "value": 16.9493
      }
    },
    "kind": "tensor",
    "name": "Elastic compliance at constant electric field",
    "notes": "Derived, not a published number. lists the same inversion: s11 5.854, s12 -1.182, s13 -1.356, s14 -0.920, s33 5.058, s44 16.949, s66 14.071.",
    "provenance": {
      "derivation": "inverse of the kushibiki1999 c^E Voigt matrix (engineering shear strain), computed by scripts/build_data.py",
      "source_id": "kushibiki1999",
      "status": "C",
      "transcribed": "2026-10-25"
    },
    "public": true,
    "rank": 4,
    "scale": 1,
    "symbol": "s^E",
    "symmetry_form": {
      "form": [
        [
          "s11",
          "s12",
          "s13",
          "s14",
          "0",
          "0"
        ],
        [
          "s12",
          "s11",
          "s13",
          "-s14",
          "0",
          "0"
        ],
        [
          "s13",
          "s13",
          "s33",
          "0",
          "0",
          "0"
        ],
        [
          "s14",
          "-s14",
          "0",
          "s44",
          "0",
          "0"
        ],
        [
          "0",
          "0",
          "0",
          "0",
          "s44",
          "2*s14"
        ],
        [
          "0",
          "0",
          "0",
          "0",
          "2*s14",
          "2*(s11-s12)"
        ]
      ],
      "mirror": "x = 0 plane (x perpendicular to the mirror, z polar)",
      "point_group": "3m",
      "relations": [
        "s22 = s11",
        "s23 = s13",
        "s24 = -s14",
        "s55 = s44",
        "s56 = 2 s14",
        "s66 = 2 (s11 - s12)"
      ]
    },
    "tensor": "elastic-compliance-sE",
    "unit": {
      "display": "1e-12 m^2/N",
      "ucum": "10*-12.m2/N"
    },
    "variant": "cln",
    "variant_note": "SAW-grade congruent",
    "voigt": [
      [
        5.85352,
        -1.18173,
        -1.35637,
        -0.920402,
        0.0,
        0.0
      ],
      [
        -1.18173,
        5.85352,
        -1.35637,
        0.920402,
        0.0,
        0.0
      ],
      [
        -1.35637,
        -1.35637,
        5.05782,
        0.0,
        0.0,
        0.0
      ],
      [
        -0.920402,
        0.920402,
        0.0,
        16.9493,
        0.0,
        0.0
      ],
      [
        0.0,
        0.0,
        0.0,
        0.0,
        16.9493,
        -1.840804
      ],
      [
        0.0,
        0.0,
        0.0,
        0.0,
        -1.840804,
        14.0705
      ]
    ],
    "voigt_convention": {
      "full_from_voigt": "s_ijkl = s_IJ x (1 if I<=3 else 1/2) x (1 if J<=3 else 1/2) (engineering shear strain)",
      "order": [
        "xx",
        "yy",
        "zz",
        "yz",
        "xz",
        "xy"
      ],
      "shear_strain": "engineering"
    }
  },
  "recommended_note": null,
  "spread": {
    "s11": {
      "max": 5.85352,
      "min": 5.85352,
      "n_records": 1
    },
    "s12": {
      "max": -1.18173,
      "min": -1.18173,
      "n_records": 1
    },
    "s13": {
      "max": -1.35637,
      "min": -1.35637,
      "n_records": 1
    },
    "s14": {
      "max": -0.920402,
      "min": -0.920402,
      "n_records": 1
    },
    "s33": {
      "max": 5.05782,
      "min": 5.05782,
      "n_records": 1
    },
    "s44": {
      "max": 16.9493,
      "min": 16.9493,
      "n_records": 1
    }
  }
}