analytical
MS, IR & NMR, uncertainty & data, separation techniques, qualitative tests, green chemistry.
spectroscopy · uncertainty · graphs & data · separation · qualitative tests · safety & green chemistry
Spectroscopy
Mass spectrometry. Molecular ion \(M^{+\bullet}\) gives \(M_r\); base peak = most intense; fragments identify groups. Isotope patterns: Cl gives M : M+2 ≈ 3:1; Br gives 1:1.
IR stretches.
| Bond | Wavenumber /cm⁻¹ | Character |
|---|---|---|
| O–H (alcohol) | 3200–3600 | broad |
| O–H (acid) | 2500–3300 | very broad |
| N–H | 3300–3500 | |
| C–H (sp³) | 2850–2960 | |
| C–H (sp²) | 3000–3100 | |
| C≡N | 2200–2260 | |
| C≡C | 2100–2260 | |
| C=O | 1700–1750 | strong |
| C=C | 1620–1680 | |
| C–O | 1000–1300 |
¹H NMR. Number of signals = number of proton environments; integration = ratio of protons; TMS at \(\delta=0\). Splitting: \(n+1\) from adjacent equivalent H; singlet, doublet, triplet, quartet; equivalent H do not split each other. Traps: read the integration ratio first; splitting comes from adjacent non-equivalent H; OH/NH are often broad and may not split.
| Environment | δ /ppm |
|---|---|
| alkyl | 0.9–1.7 |
| allylic / alkynyl / adjacent C=O | 1.8–3.1 |
| X–CH / O–CH | 3.2–4.5 |
| alkene | 4.5–6.0 |
| aryl | 6.5–8.5 |
| aldehyde | 9–10 |
| COOH | 9–13 |
| alcohol OH | 1–6, broad |
Structure determination. Combine MS + IR + NMR.
Uncertainty
Errors. Random error affects precision; systematic error affects accuracy.
Quoting. Analogue: ± half the smallest division; digital: ± the smallest increment unless specified; repeated readings: range/2 or SD/SEM as appropriate.
Propagation. Addition/subtraction: absolute uncertainties add — \(y=a\pm b\Rightarrow\Delta y=\Delta a+\Delta b\). Multiplication/division: fractional (percentage) uncertainties add — \(y=ab/c\Rightarrow\frac{\Delta y}{y}=\frac{\Delta a}{a}+\frac{\Delta b}{b}+\frac{\Delta c}{c}\); powers: \(y=a^n\Rightarrow\frac{\Delta y}{y}=|n|\frac{\Delta a}{a}\). Percentage uncertainty \(=\frac{\Delta x}{x}\times100\).
Burette trap. A titre uses initial + final readings, so their uncertainties add: ±0.05 cm³ each ⇒ ±0.10 cm³ per titre.
Significant figures. Final answer to the least precise input; keep guard digits during calculation.
Graphs & data
Axes. Independent variable on x, dependent on y; include units and uncertainty bars when significant; gradient units = y/x; intercept carries y units.
Calibration. Use a line of best fit; read concentration by interpolation. Outliers require justification, not deletion by preference.
Linearization. Beer–Lambert \(A=\varepsilon lc\); first-order kinetics \(\ln[A]\) vs \(t\); Arrhenius \(\ln k\) vs \(1/T\).
Separation & analysis
Chromatography. Separates by different attractions to the mobile/stationary phases; \(R_f=\dfrac{\text{distance moved by spot}}{\text{distance moved by solvent front}}\); higher affinity for the stationary phase ⇒ lower \(R_f\); TLC visualized by UV/iodine/stain.
Distillation & purification. Distillation separates by boiling point; fractional distillation for close boiling points; reflux heats without loss; recrystallization purifies solids; vacuum filtration isolates crystals; a drying agent removes water.
Titration technique. Rinse the pipette with the analyte and the burette with the titrant; the conical flask can be rinsed with water; concordant titres typically within 0.10 cm³.
Qualitative tests
Unsaturation. Bromine water orange → colorless; cold dilute alkaline \(\ce{KMnO4}\) purple → brown/colorless.
Carbonyl. 2,4-DNPH orange precipitate for aldehyde/ketone; Tollens/Fehling positive for aldehyde only.
Carboxylic acid. Effervescence with carbonate; the \(\ce{CO2}\) turns limewater milky.
Halides. \(\ce{AgNO3}\) after acidifying with \(\ce{HNO3}\): AgCl white, dissolves in dilute \(\ce{NH3}\); AgBr cream, dissolves in concentrated \(\ce{NH3}\); AgI yellow, insoluble.
Other ions. Sulfate: \(\ce{Ba^2+}\) gives white \(\ce{BaSO4}\). Carbonate: acid gives \(\ce{CO2}\). Ammonium: warming with NaOH gives \(\ce{NH3}\); damp red litmus turns blue.
Safety & green chemistry
Green principles. Minimize toxicity, waste, energy; maximize atom economy, yield, selectivity; renewable feedstocks; catalysis over stoichiometric reagents; safer solvents; degradable products.
Safety. Risk = hazard × exposure; use PPE, fume hood, small scale; add acid to water; dispose of heavy metals and halogenated organics separately.