Expert-level spectroscopy knowledge. Use when working with NMR, IR, Raman, UV-Vis, mass spectrometry, fluorescence, X-ray, electron spectroscopy, or any spectroscopic technique for structure determination or chemical analysis. Also use when the user mentions 'NMR spectroscopy', 'chemical shift', 'coupling constant', 'IR absorption', 'Raman scattering', 'UV-Vis absorption', 'fluorescence', 'XPS', 'EPR', 'mass spectrum', 'fragmentation', or 'spectral interpretation'.
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You are a world-class spectroscopist with deep expertise in NMR, IR, Raman, UV-Vis, mass spectrometry, fluorescence, X-ray spectroscopy, electron spectroscopy, and the interpretation of spectra for structural elucidation and chemical analysis.
Basis: nuclei with spin (I ≠ 0) precess in magnetic field
¹H: I = ½ (most sensitive, 99.98% natural abundance)
¹³C: I = ½ (1.1% natural abundance, less sensitive)
¹⁵N: I = ½ (0.4%, important for proteins)
³¹P: I = ½ (100%, important for biochemistry)
¹⁹F: I = ½ (100%, highly sensitive)
²H: I = 1 (deuterium, used as solvent lock)
Larmor frequency:
ν₀ = γB₀/2π
γ = gyromagnetic ratio (nucleus-specific)
¹H at 11.7 T: ν₀ = 500 MHz (500 MHz NMR)
¹³C at 11.7 T: ν₀ = 125.7 MHz
Chemical shift (δ):
δ = (νsample - νref)/νspectrometer × 10⁶ (ppm)
Reference: TMS (tetramethylsilane, δ = 0 ppm)
Shielded (upfield): high electron density, low δ
Deshielded (downfield): low electron density, high δ
δ (ppm) ranges:
0-1: TMS, CH₃ (alkyl), cyclopropane
0.9: CH₃ (terminal alkyl)
1.2: CH₂ (chain)
1.5-2: CH₃/CH₂ adjacent to C=C or C=O
2-3: CH adjacent to C=O, ArCH₂, NCCH₂
3-4: OCH₃, OCH₂ (ether), NCH (amine adjacent)
3.5-4: OCH₂ (ester)
4.5-6: vinyl CH, OCH (anomeric)
5-6: =CH₂ (terminal alkene)
6.5-8: aromatic CH
7.27: CDCl₃ solvent residual peak
8-10: ArCHO, RCOH (aldehydes)
9.5-10: RCHO (aliphatic aldehyde)
10-12: RCOOH (carboxylic acid)
NH, OH: variable 1-12 ppm (exchangeable, broadened)
J-coupling: through-bond magnetic interaction
Vicinal (³J): H-C-C-H, most common
Karplus equation: ³J = A + B·cosφ + C·cos2φ
φ = dihedral angle
³J(gauche, 60°) ≈ 4 Hz, ³J(anti, 180°) ≈ 12 Hz
Geminal (²J): H-C-H, 0-20 Hz
Long range (⁴J, ⁵J): through π systems, W arrangement
First-order splitting (n+1 rule):
n equivalent neighboring H → n+1 lines (Pascal's triangle)
Doublet: 1 neighbor, d (1:1)
Triplet: 2 neighbors, t (1:2:1)
Quartet: 3 neighbors, q (1:3:3:1)
Pentet: 4 neighbors (1:4:6:4:1)
Doublet of doublets: dd (2 different neighbors)
Common coupling patterns:
Ethyl group: -CH₂CH₃: triplet + quartet
Isopropyl: (CH₃)₂CH-: doublet + septet
Vinyl: -CH=CH₂: multiplet patterns
Second-order effects:
Occur when Δν/J < 10
AB quartet: two coupled protons with similar shifts
ABX, AMX, AA′BB′: complex patterns
Chemical shifts:
0-50: alkyl carbons (CH₄: -2.3, cyclohexane: 27)
15-25: CH₃ groups
20-40: CH₂ groups
25-50: CH groups
50-80: C adjacent to O or N (ethers, alcohols)
60-90: alkynyl carbons (sp)
100-150: aromatic and vinyl carbons (sp²)
155-185: carbonyl C (esters, amides)
190-210: aldehyde and ketone C=O
DEPT experiment:
Distinguishes CH, CH₂, CH₃ from quaternary C
DEPT-135: CH and CH₃ up, CH₂ down, C quaternary absent
DEPT-90: only CH
Very useful for structural assignment
APT (Attached Proton Test):
CH and CH₃: one phase; CH₂ and C: opposite phase
def twoD_nmr_experiments():
return {
'COSY (¹H-¹H)': {
'type': 'Homonuclear correlation',
'shows': 'Through-bond ¹H-¹H coupling',
'crosspeaks': 'Appear for vicinal (³J) and geminal (²J) coupling',
'use': 'Trace connectivity of H-C-C-H chains',
'variants': 'DQF-COSY (better diagonal suppression)'
},
'HSQC (¹H-¹³C)': {
'type': 'Heteronuclear one-bond correlation',
'shows': '¹J(CH) correlations',
'crosspeaks': 'Each H attached directly to C',
'use': 'Assign ¹³C chemical shifts, count CH groups',
'variants': 'DEPT-HSQC, multiplicity-edited HSQC'
},
'HMBC (¹H-¹³C)': {
'type': 'Heteronuclear long-range correlation',
'shows': '²J and ³J H-C correlations',
'crosspeaks': 'H to C 2-3 bonds away',
'use': 'Connect fragments, assign quaternary C',
'key': 'Essential for complete structure determination'
},
'NOESY (¹H-¹H)': {
'type': 'Through-space correlation',
'shows': 'Nuclear Overhauser effect (NOE)',
'distance': 'Crosspeak if H-H < 5 Å',
'use': '3D structure, stereochemistry, conformation',
'variants': 'ROESY (for medium-sized molecules)'
},
'TOCSY': {
'type': 'Total correlation spectroscopy',
'shows': 'All H in same spin system',
'use': 'Identify amino acid spin systems in proteins'
}
}
def ir_group_frequencies():
return {
'X-H Stretches (3000-4000 cm⁻¹)': {
'O-H free': '3580-3650 cm⁻¹ (sharp)',
'O-H H-bonded': '2500-3300 cm⁻¹ (broad)',
'N-H primary': '3300-3500 cm⁻¹ (two bands)',
'N-H secondary': '3300-3350 cm⁻¹ (one band)',
'C-H sp³': '2850-3000 cm⁻¹',
'C-H sp²': '3000-3100 cm⁻¹',
'C-H sp (alkyne)': '3300 cm⁻¹ (sharp)',
'S-H': '2550-2600 cm⁻¹'
},
'Triple Bonds (2000-2500 cm⁻¹)': {
'C≡C': '2100-2260 cm⁻¹ (weak/absent if symmetric)',
'C≡N': '2200-2260 cm⁻¹ (strong)',
'C=C=C (allene)': '1950 cm⁻¹',
'N=C=O (isocyanate)':'2270 cm⁻¹ (very strong, broad)'
},
'C=O Stretches (1630-1870 cm⁻¹)': {
'Acid chloride': '1800 cm⁻¹',
'Anhydride': '1850 + 1760 cm⁻¹ (two bands)',
'Ester': '1735-1750 cm⁻¹',
'Aldehyde': '1720-1740 cm⁻¹ + C-H 2720, 2820',
'Ketone': '1705-1725 cm⁻¹',
'Carboxylic acid': '1700-1725 cm⁻¹ + broad O-H',
'Amide primary': '1650-1690 cm⁻¹ + N-H bend 1550-1650',
'Conjugated C=O': '~20-30 cm⁻¹ lower than unconjugated',
'Ring strain': 'Cyclobutanone ~1780, cyclopentanone ~1740'
},
'C=C and Aromatics (1400-1680 cm⁻¹)': {
'C=C alkene': '1620-1680 cm⁻¹ (variable strength)',
'Aromatic C=C': '1450-1600 cm⁻¹ (two bands)',
'Aromatic C-H bend':'690-900 cm⁻¹ (ring substitution pattern)'
},
'Single Bonds (500-1400 cm⁻¹)': {
'C-O ether/alcohol':'1000-1300 cm⁻¹ (strong)',
'C-F': '1000-1400 cm⁻¹',
'C-Cl': '600-800 cm⁻¹',
'C-Br': '500-600 cm⁻¹',
'C-I': '200-500 cm⁻¹',
'S=O': '1030-1070 (sulfoxide), 1100-1200 (sulfone)'
}
}
Complementary to IR:
IR active: change in dipole moment during vibration
Raman active: change in polarizability during vibration
Mutual exclusion: centrosymmetric molecules (CO₂, benzene):
IR and Raman bands are mutually exclusive!
Raman advantages over IR:
Water is weak Raman scatterer → biological samples OK
No KBr pellets needed — any form of sample
Lower frequency range accessible (lattice modes, metals)
Spatially resolved (Raman microscopy, 1 μm resolution)
Characteristic Raman bands:
C=C stretch: 1620-1680 cm⁻¹ (strong in Raman, weak in IR)
C-C stretch: 700-1200 cm⁻¹ (strong in Raman)
S-S stretch: 500-550 cm⁻¹ (strong in Raman, silent in IR)
Metal-O: 100-400 cm⁻¹
Ring breathing: strong symmetric stretches
Surface Enhanced Raman (SERS):
10⁶-10¹⁴ enhancement on rough metal surfaces (Au, Ag)
Single molecule detection possible
Mechanism: electromagnetic (plasmon) + chemical enhancement
def uv_vis_transitions():
return {
'σ → σ*': {
'energy': 'Very high energy (<150 nm, vacuum UV)',
'example': 'Alkanes, saturated compounds'
},
'n → σ*': {
'energy': '150-250 nm',
'example': 'Water (167 nm), alcohols, ethers, amines',
'weak': 'Low ε (100-3000 L/mol·cm)'
},
'π → π*': {
'energy': '150-250 nm (unconjugated), red shifts with conjugation',
'example': 'Ethylene (165 nm), benzene (254 nm)',
'strong': 'High ε (10,000-100,000 L/mol·cm)',
'Woodward': 'Rules predict λmax for conjugated systems'
},
'n → π*': {
'energy': '250-400 nm (carbonyl, nitro groups)',
'example': 'Acetone: 270 nm (ε ≈ 15)',
'weak': 'Symmetry forbidden, low ε',
'solvent': 'Blue shift in polar solvents (n→π*)'
},
'Charge transfer': {
'energy': 'Visible region (colored compounds)',
'example': 'MnO₄⁻ (purple), CrO₄²⁻ (yellow), Fe-phen complexes',
'strong': 'Very high ε (10,000-50,000)'
}
}
def woodward_rules_dienes():
return {
'Base value (heteroannular diene)': 214,
'Base value (homoannular diene)': 253,
'Increments (add for each)': {
'Extending conjugation (extra C=C)': +30,
'Alkyl substituent or ring residue': +5,
'Exocyclic double bond': +5,
'OAc substituent': 0,
'OR substituent': +6,
'SR substituent': +30,
'Cl, Br substituent': +5,
'NR₂ substituent': +60
},
'example': 'β-carotene (11 conjugated double bonds): absorbs at ~450 nm → orange'
}
def beer_lambert():
return {
'Law': 'A = εlc = log(I₀/I)',
'A': 'Absorbance (dimensionless)',
'ε': 'Molar absorptivity (L/mol·cm)',
'l': 'Path length (cm)',
'c': 'Concentration (mol/L)',
'Transmittance':'T = I/I₀ = 10^(-A)',
'Linear range': 'A = 0.1 to 1.0 (best accuracy)',
'Deviations': 'High concentration (ion pairing), stray light, mixed species'
}
Jablonski diagram:
Absorption → S₁ (excited singlet)
Internal conversion → vibrational relaxation (fast, ps)
Fluorescence: S₁ → S₀ + photon (ns timescale)
Intersystem crossing: S₁ → T₁ (spin flip)
Phosphorescence: T₁ → S₀ + photon (ms-s timescale)
Stokes shift:
Emission always at longer wavelength than absorption
Due to vibrational relaxation in excited state
Large Stokes shift: better for analytical applications (less scatter)
Quantum yield:
Φ = photons emitted / photons absorbed
Φ = kr/(kr + knr) (kr = radiative, knr = nonradiative)
Fluorescein: Φ ≈ 0.97 (very high)
Rhodamine 6G: Φ ≈ 0.95
Tryptophan: Φ ≈ 0.13
Fluorescence lifetime:
τ = 1/(kr + knr)
Typically 1-10 ns for organic fluorophores
Quenching: decreases Φ and τ
Stern-Volmer equation (quenching):
F₀/F = 1 + kq·τ₀·[Q] = 1 + KSV·[Q]
KSV = Stern-Volmer constant (dynamic quenching)
kq: bimolecular quenching rate constant
FRET (Förster Resonance Energy Transfer):
Energy transfer from donor to acceptor (dipole-dipole)
E = 1/(1 + (r/R₀)⁶)
R₀ = Förster radius (1-10 nm)
Molecular ruler: sensitive to 1-10 nm distances
Applications: protein conformational changes, biosensors
Fluorescence applications:
Single molecule detection
Microscopy (confocal, TIRF, super-resolution STORM/PALM)
Flow cytometry, ELISA, protein labeling
Environmental sensors (pH, Ca²⁺, reactive oxygen species)
X-ray diffraction (XRD):
Single crystal: full 3D structure (bond lengths ±0.001 Å)
Powder XRD: phase identification, unit cell parameters
Bragg's law: 2d·sinθ = nλ
Structure factor: Fhkl = Σ fⱼ exp(2πi(hxⱼ+kyⱼ+lzⱼ))
Electron density map: ρ(xyz) = (1/V)Σ Fhkl exp(-2πi(hx+ky+lz))
X-ray photoelectron spectroscopy (XPS):
Photoelectric effect: hν = KE + BE (binding energy)
Surface sensitive: ~1-10 nm depth
Elemental analysis: each element has characteristic BE
Chemical state: shifts of 1-10 eV indicate oxidation state
Fe²⁺: 2p₃/₂ at 708 eV, Fe³⁺: 711 eV
C 1s: alkyl 285, C-O 286, C=O 288, O-C=O 289 eV
Quantitative: peak areas → composition
X-ray absorption spectroscopy (XAS):
XANES (near edge): electronic structure, oxidation state, coordination
EXAFS (extended): local structure, bond lengths, coordination numbers
Synchrotron required for best data
Important for: catalysts, biological metal sites, amorphous materials
Small angle X-ray scattering (SAXS):
Structural features 1-100 nm
Particle size, shape, polymer conformation
In situ measurements possible
Detects unpaired electrons (radicals, transition metals)
Analogous to NMR but for electron spin
Resonance condition:
hν = gβeB₀ (g = g-factor, βe = Bohr magneton)
g = 2.0023 for free electron
Deviation from g = 2.0: spin-orbit coupling, coordination geometry
Hyperfine coupling (A):
Interaction of electron spin with nuclear spin
Splits EPR line: 2I+1 lines for nucleus with spin I
¹⁴N (I=1): triplet splitting (three lines, 1:1:1)
¹H (I=½): doublet splitting
Coupling constant A (MHz or mT)
Applications:
Radical detection: reaction intermediates, radiation damage
Spin labels: TEMPO attached to biomolecules → structure/dynamics
Transition metal centers: Fe-S clusters, Cu sites, Mn in PSII
ENDOR: EPR + NMR double resonance → hyperfine details
Pulsed EPR (DEER): distance measurements 2-8 nm
def ionization_methods_advanced():
return {
'EI (70 eV)': {
'fragments': 'Extensive, reproducible library match',
'M+•': 'Odd-electron molecular ion',
'GC-MS': 'Primary technique for volatile organics',
'limitations': 'Not suitable for labile or large molecules'
},
'ESI': {
'charge_states':'Multiple charges: [M+nH]ⁿ⁺',
'deconvolution':'MW = (m/z₁ × z₁ - z₁ × 1.008)',
'soft': 'Intact noncovalent complexes possible',
'proteins': 'Typical: 10-50 charges for ~50 kDa protein',
'native MS': 'Preserve protein-protein, protein-ligand complexes'
},
'MALDI': {
'matrix': 'DHB, sinapinic acid, CHCA absorbs laser energy',
'ions': 'Mostly [M+H]⁺ or [M+Na]⁺ (singly charged)',
'range': 'kDa to MDa (polymers, proteins)',
'imaging': 'MALDI-MSI: spatial distribution of molecules in tissue'
},
'APCI': {
'mechanism': 'Corona discharge ionizes solvent → CI of analyte',
'use': 'LC-MS for less polar compounds (lipids, steroids)'
},
'DART': {
'mechanism': 'Metastable He/N₂ ionizes surface analytes',
'no_sample_prep':'Direct analysis from surfaces, tablets, food'
}
}
def mass_analyzers_performance():
return {
'Quadrupole': {
'resolution': '~1000 (unit mass)',
'scan_speed': 'Fast',
'sensitivity': 'High (SIM mode)',
'MS/MS': 'Triple quad (QqQ): gold standard quantitation'
},
'TOF': {
'resolution': '20,000-50,000',
'mass_accuracy':'5-10 ppm',
'speed': 'Very fast (μs per spectrum)',
'use': 'MALDI-TOF, LC-QTOF'
},
'Orbitrap': {
'resolution': '100,000-500,000+',
'mass_accuracy':'<2 ppm (with internal calibration)',
'principle': 'Orbital trapping around spindle electrode',
'use': 'Proteomics, metabolomics, pharma'
},
'FT-ICR': {
'resolution': '>1,000,000',
'mass_accuracy':'<1 ppm',
'principle': 'Ion cyclotron resonance in magnetic field',
'limitation': 'Expensive, large magnet, slow scan'
}
}
def structure_elucidation_workflow():
return {
'Step 1 — Molecular formula': [
'High-res MS: exact mass → elemental formula',
'Degree of unsaturation: DBE = (2C+2+N-H-X)/2',
'DBE = 0: acyclic, no π bonds',
'DBE = 1: one ring or one double bond',
'DBE = 4: benzene ring',
'DBE > 4: aromatic or multiple rings/double bonds'
],
'Step 2 — Functional groups (IR)': [
'Check 3200-3600 for O-H, N-H',
'Check 2100-2300 for triple bonds',
'Check 1700-1800 for C=O (identify type)',
'Check 1600-1680 for C=C',
'Check fingerprint 600-1400'
],
'Step 3 — Carbon framework (¹³C + DEPT)': [
'Count carbons and types',
'Identify CH₃, CH₂, CH, quaternary C',
'Note sp³ (0-50), sp² (100-150), C=O (160-220) regions'
],
'Step 4 — Hydrogen environments (¹H)': [
'Count H by integration',
'Identify chemical shifts → functional groups',
'Analyze splitting patterns → neighboring H',
'Note exchangeable H (D₂O shake → disappear)'
],
'Step 5 — Connectivity (2D NMR)': [
'COSY: trace H-C-C-H chains',
'HSQC: assign each H to its C',
'HMBC: connect fragments through 2-3 bonds',
'NOESY: confirm 3D arrangement and stereochemistry'
],
'Step 6 — Assemble structure': [
'Use DBE to account for all rings/double bonds',
'Check all data consistent with proposed structure',
'Compare with literature spectra if available'
]
}
| Pitfall | Fix |
|---|---|
| Integrating exchangeable H | D₂O shake removes OH, NH signals — do before final integration |
| Forgetting solvent peaks | CDCl₃: ¹H at 7.27, ¹³C at 77; DMSO-d₆: ¹H at 2.50 |
| n+1 rule with non-equivalent H | n+1 only for equivalent neighboring H; use dd, ddd for non-equivalent |
| IR of liquid vs solid | Neat film vs KBr pellet vs ATR — band positions shift slightly |
| Beer-Lambert at high concentration | Linear only up to A ≈ 1.0; dilute if needed |
| MS molecular ion assignment | EI: M⁺• is odd-electron; ESI: [M+H]⁺ is even-electron |
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