Diffraction grating angle API

Solves the grating equation d·sinθ = m·λ for the diffraction angle of a given order from line density (lines/mm) or slit spacing, and reports the maximum observable order. Answers 'At what angle does the m-th order appear?', 'How many diffraction orders can I see?'.

Price$0.04per request

MethodPOST

Route/v1/engineering/diffraction-grating

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

opticsdiffractiongratingspectroscopywavelengthorderinterferencephysics

API URLhttps://x402.hexl.dev/v1/engineering/diffraction-grating

Integration docs

Example request

{
  "wavelengthNm": 532,
  "linesPerMm": 600,
  "order": 1
}

Example response

{
  "slitSpacingNm": 1666.6667,
  "order": 1,
  "diffractionAngleDeg": 18.6146,
  "maxObservableOrder": 3,
  "interpretation": "Order 1 appears at 18.615°; up to order 3 is observable."
}

Input schema

{
  "type": "object",
  "required": [
    "wavelengthNm"
  ],
  "properties": {
    "wavelengthNm": {
      "type": "number",
      "description": "Wavelength (nm)",
      "examples": [
        532
      ]
    },
    "linesPerMm": {
      "type": "number",
      "description": "Grating line density (lines/mm)",
      "examples": [
        600
      ]
    },
    "slitSpacingNm": {
      "type": "number",
      "description": "Slit spacing d (nm), alternative to linesPerMm",
      "examples": [
        1666.67
      ]
    },
    "order": {
      "type": "integer",
      "description": "Diffraction order m (default 1)",
      "examples": [
        1
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}