Case A · tier=definitive
claim_kind = material
Transparent acrylic pellet → identified as PMMA
Sample: transparent thermoplastic pellet, ATR pickup, no obvious filler. Uploaded as an unknown; operator did not pre-label.
AXIS 01
Top-1 PMMA-std-021, cosine 0.972 · Top-2 gap +0.071 · above the definitive_l1_similarity_min = 0.90 threshold
AXIS 02
Five diagnostic peaks of the methacrylate ester family all matched within ±5 cm⁻¹ tolerance ✓
AXIS 03
Material PMMA → family acrylic_ester; agreement_count = 3, no hard_forbidden conflict ✓
Verdict
Poly(methyl methacrylate) — PMMA.
All three axes agree at the material level; the case satisfies the definitive tier rule (L1 ≥ 0.90, ≥ 1 supporting layer, agreement_count ≥ 1, L3 has at least one citation-bound peak match).
Detailed explanation
The Top-1 spectrum-level similarity (0.972) clears the definitive threshold and the +0.071 gap to Top-2 indicates a clean separation rather than a tie. Both Axis 02 (peak rules) and Axis 03 (knowledge graph) independently identify the methacrylate-ester family, with the graph's PMMA → acrylic_ester edge fully covering the observed peak set. No competing family has a hard_forbidden veto. The verdict is therefore released as material-level (claim_kind = material) without recourse to alternatives.
Characteristic-peak interpretation
- 1729 cm⁻¹ ester C=O stretch — acrylate carbonyl, position diagnostic of methacrylate (cf. aliphatic ester ~1738, aromatic ester ~1715)
- 1240 cm⁻¹ C(=O)–O asymmetric stretch of the ester linkage
- 1148 cm⁻¹ O–CH₃ stretch — methyl ester signature, distinguishes methacrylate from acrylate
- 988 cm⁻¹ C–C–O methacrylate skeletal mode
- 2950 / 2995 cm⁻¹ α-CH₃ asymmetric / symmetric stretch — quaternary carbon environment of the methacrylate backbone
References
- Coates, J. Interpretation of Infrared Spectra, A Practical Approach. In Encyclopedia of Analytical Chemistry; Meyers, R.A., Ed.; Wiley, 2006.
- Lin-Vien, D.; Colthup, N.B.; Fateley, W.G.; Grasselli, J.G. The Handbook of Infrared and Raman Characteristic Frequencies of Organic Molecules; Academic Press, 1991 (esters, Ch. 9).
- Socrates, G. Infrared and Raman Characteristic Group Frequencies, 3rd ed.; Wiley, 2001, pp. 99–116.
- Willis, H.A.; Cudby, M.E.A. Spectrochim. Acta A, 1968, 24, 1701 (PMMA backbone vibrations).
Case B · tier=directional
claim_kind = family
Translucent film fragment → polyester family, but PET / PBT cannot be separated by IR alone
Sample: thin translucent film fragment from a packaging return. ATR pickup, no overt filler, slight surface haze. Uploaded as an unknown.
AXIS 01
Top-1 PET cosine 0.62, Top-2 PBT 0.59; gap +0.03 — below definitive_l1_similarity_min = 0.90, no material-level winner
AXIS 02
Terephthalate ester peak set fully present (1714 / 1240 / 1095 / 1410 / 870 / 723); aliphatic-spacer fingerprint region inconclusive ✓ !
AXIS 03
Three axes converge on family polyester / aromatic_terephthalate_ester; alternatives kept = {PET, PBT}; no hard_forbidden conflict ✓
Verdict
Aromatic polyester (terephthalate ester family); most likely PET, PBT cannot be ruled out by FTIR.
Case satisfies the directional tier rule (≥ 2 supporting layers, agreement at family level). Two alternatives kept; further verification required before any material-level claim.
Detailed explanation
The terephthalate carbonyl, ring and ester C–O–C bands are unambiguous, so the engine commits to the polyester / aromatic terephthalate ester family. The reason it stops there: PET and PBT differ only in the aliphatic glycol spacer (–OCH₂CH₂O– vs –O(CH₂)₄O–), which affects only the weak CH₂ rocking/wagging modes between roughly 970 and 1000 cm⁻¹. Under ATR with no orientation control these contrasts are below the engine's confidence floor — a definitive material call would be over-claiming.
Characteristic-peak interpretation
- 1714 cm⁻¹ aromatic ester C=O stretch — terephthalate carbonyl (lower than aliphatic ester ~1738 due to ring conjugation)
- 1410 cm⁻¹ aromatic C=C ring stretch of para-disubstituted benzene
- 1240 cm⁻¹ C(=O)–O asymmetric stretch of the aromatic ester
- 1095 cm⁻¹ C–O–C symmetric stretch of the glycol portion (PET) / butanediol portion (PBT)
- 870 cm⁻¹ in-plane C–H bending of the para-disubstituted benzene ring
- 723 cm⁻¹ out-of-plane C–H bending of the para-disubstituted ring — a fingerprint of terephthalate-based polyesters
- ~975 cm⁻¹ weak CH₂ rocking — in principle the PET/PBT discriminator, but here too weak / overlapped to be decisive !
Recommended next steps
- Py-GC/MS — pyrolysis fragments cleanly separate ethylene glycol (PET) from 1,4-butanediol (PBT) units. The single most decisive test.
- DSC — Tm separates PET (~250 °C) from PBT (~225 °C); a 5 mg cut and one heating ramp are usually enough.
- Density / solubility — PET ≈ 1.38 g·cm⁻³, PBT ≈ 1.31 g·cm⁻³; HFIP / o-chlorophenol solubility differ. Use only as supplementary evidence.
- Re-sample — if film is too thin or oriented, request a melt-pressed flake to remove orientation artefacts before any IR re-run.
References
- Cole, K.C.; Ben Daly, H.; Sanschagrin, B.; Nguyen, K.T.; Ajji, A. A new approach using FTIR to characterise PET and PBT. Polymer, 1999, 40, 3505–3513.
- Socrates, G. Infrared and Raman Characteristic Group Frequencies, 3rd ed.; Wiley, 2001, pp. 99–123 (terephthalate esters).
- Pretsch, E.; Bühlmann, P.; Badertscher, M. Structure Determination of Organic Compounds, 4th ed.; Springer, 2009.
- ASTM E1252-98(2021). Standard Practice for General Techniques for Obtaining Infrared Spectra for Qualitative Analysis.
- Tsuge, S.; Ohtani, H.; Watanabe, C. Pyrolysis-GC/MS Data Book of Synthetic Polymers; Elsevier, 2011 (PET vs PBT pyrograms).