Appendix A — Periodic Table and Atomic Data

Reference data for the elements most important in organic chemistry, plus the orbital and geometric primitives that everything else builds on. Use this alongside Chs 1-3 (atoms, bonds, structure) and Ch 9 (NMR).

Periodic table — organic-relevant block

The elements you will actually meet in this book live in rows 1-4, plus Br and I. Transition metals appear as catalysts (Pd, Pt, Ni, Cu, Rh, Ru, Os, Hg) but their detailed electronic structure is not exam material here.

H                                                                He
Li Be                                          B  C  N  O  F   Ne
Na Mg                                          Al Si P  S  Cl  Ar
K  Ca  Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br  Kr
                                                       I (row 5)

Second-row elements (the backbone of organic chemistry)

Element Z Atomic mass Config Valence e⁻ EN (Pauling) Covalent r (Å) van der Waals r (Å)
H 1 1.008 1s¹ 1 2.20 0.31 1.20
Li 3 6.94 [He]2s¹ 1 0.98 1.28 1.82
Be 4 9.01 [He]2s² 2 1.57 0.96 1.53
B 5 10.81 [He]2s²2p¹ 3 2.04 0.84 1.92
C 6 12.01 [He]2s²2p² 4 2.55 0.76 1.70
N 7 14.01 [He]2s²2p³ 5 3.04 0.71 1.55
O 8 16.00 [He]2s²2p⁴ 6 3.44 0.66 1.52
F 9 19.00 [He]2s²2p⁵ 7 3.98 0.57 1.47

Third-row and halogens

Element Z Atomic mass Config Valence e⁻ EN Covalent r (Å) vdW r (Å)
Na 11 22.99 [Ne]3s¹ 1 0.93 1.66 2.27
Mg 12 24.31 [Ne]3s² 2 1.31 1.41 1.73
Al 13 26.98 [Ne]3s²3p¹ 3 1.61 1.21 1.84
Si 14 28.09 [Ne]3s²3p² 4 1.90 1.11 2.10
P 15 30.97 [Ne]3s²3p³ 5 2.19 1.07 1.80
S 16 32.07 [Ne]3s²3p⁴ 6 2.58 1.05 1.80
Cl 17 35.45 [Ne]3s²3p⁵ 7 3.16 1.02 1.75
Br 35 79.90 [Ar]3d¹⁰4s²4p⁵ 7 2.96 1.20 1.85
I 53 126.90 [Kr]4d¹⁰5s²5p⁵ 7 2.66 1.39 1.98

Reading the trends — EN rises right and falls down. Covalent radius falls right and rises down. Polarizability rises down (large diffuse electron clouds). These three trends explain most of organic reactivity (Ch 3).

Electronegativity scale (Pauling) — discussion

Electronegativity is an atom's pull on bonding electrons. The numbers are unitless and calibrated such that F = 3.98 and Cs ≈ 0.79. For organic chemistry, four practical thresholds matter:

ΔEN range Bond character Example
0.0-0.4 nonpolar covalent C-H, C-C, C-S, C-I
0.4-0.9 polar covalent C-N, C-Cl, C-Br
0.9-1.7 strongly polar covalent C-O, C-F, O-H
> 1.7 ionic Na-Cl, K-OR

Two consequences run through the whole book — bond dipoles (Ch 2), and the direction of nucleophile/electrophile flow (Chs 3, 10). When you draw a curved arrow, the electrons leave the less electronegative atom for the more electronegative one.

Bond dissociation energies — comprehensive (kcal/mol, homolytic)

BDE = energy to break A-B into A• + B•. Use for radical chemistry (Ch 18) and for thermochemical estimates (Ch 8).

C-H bonds by hybridization and environment

Bond Substrate BDE
sp³ C-H, methane CH₃-H 105
sp³ C-H, 1° CH₃CH₂-H 101
sp³ C-H, 2° (CH₃)₂CH-H 98.5
sp³ C-H, 3° (CH₃)₃C-H 96.5
Allylic C-H CH₂=CHCH₂-H 88
Benzylic C-H PhCH₂-H 90
α to C=O CH₃COCH₂-H 92
sp² C-H, vinyl CH₂=CH-H 111
sp² C-H, aromatic Ph-H 113
sp C-H, alkyne HC≡C-H 133

Trend — 3° < 2° < 1° < methyl (radical stability mirrors cation stability). Allylic and benzylic are even weaker due to resonance delocalization of the radical (Ch 18).

C-C bonds

Bond Example BDE
C-C single CH₃-CH₃ (ethane) 88
C-C single (allylic) CH₂=CH-CH₂-CH₃ 74
C=C double CH₂=CH₂ 174 (σ + π)
C=C π only ~65
C≡C triple HC≡CH 230 (σ + 2π)
C-C aromatic Ph-Ph (biphenyl) 117

C-X (halogen)

Bond BDE
C-F (CH₃F) 115
C-Cl (CH₃Cl) 84
C-Br (CH₃Br) 72
C-I (CH₃I) 58

C-F is the strongest C-X bond — relevant for medicinal chemistry and ¹⁹F NMR. C-I is the weakest, hence iodides are the best leaving groups (Ch 10).

C-heteroatom (single bonds)

Bond Example BDE
C-N CH₃-NH₂ 79
C-O CH₃-OH 92
C-S CH₃-SH 73
C-P CH₃-PH₂ 70
C-Si CH₃-SiH₃ 89

C=heteroatom (multiple bonds)

Bond Example BDE
C=N imine 147
C≡N nitrile 213
C=O (formaldehyde) H₂C=O 178
C=O (ester/acid) average 180-185
C=S thione ~138

X-H and X-X reference

Bond BDE
H-H 104
N-H (NH₃) 107
O-H (H₂O) 119
O-H (CH₃O-H) 105
S-H (H₂S) 91
F-F 38
Cl-Cl 58
Br-Br 46
I-I 36
H-F 136
H-Cl 103
H-Br 87
H-I 71

Bond lengths (Å)

Bond Length Bond Length
C-H (sp³) 1.09 C-N 1.47
C-H (sp²) 1.08 C=N 1.28
C-H (sp) 1.06 C≡N 1.16
C-C (sp³-sp³) 1.54 C-O 1.43
C-C (sp²-sp²) 1.48 C=O 1.21
C=C 1.34 C-F 1.39
C≡C 1.20 C-Cl 1.78
C-C aromatic 1.40 C-Br 1.94
C-S 1.82 C-I 2.14

Shorter = stronger, for a given pair of atoms. A C≡C bond is shorter and stronger than C=C, which is shorter and stronger than C-C.

Bond angles — VSEPR for organic-relevant geometries

Hybridization Steric # Geometry Ideal angle Example
sp 2 linear 180° HC≡CH, CO₂
sp² 3 trigonal planar 120° CH₂=CH₂, BF₃, carbonyl C
sp³ 4 tetrahedral 109.5° CH₄, sp³ C
sp³ (3 bonds + LP) 4 trigonal pyramidal 107° NH₃, amine
sp³ (2 bonds + 2 LP) 4 bent 104.5° H₂O, ether O
sp³d (P-based) 5 trigonal bipyramidal 90/120° PCl₅, SN2 TS
sp³d² 6 octahedral 90° SF₆, metal complexes

Lone pairs occupy more space than bonding pairs, compressing bond angles (107° in NH₃, 104.5° in H₂O).

Atomic orbitals — shapes and signs

Orbital Nodes Shape Lobes/sign
1s 0 sphere one phase
2s 1 (radial) sphere within sphere inner + outer opposite phase
2p 1 (planar) dumbbell two lobes, opposite phase
3d (xy, xz, yz, x²-y²) 2 cloverleaf four lobes alternating
3d (z²) 2 dumbbell + torus unique shape

The sign (phase) of an orbital matters because bonding combinations require matching phases (constructive overlap) and antibonding combinations have mismatched phases. This is the entire basis for MO theory (Ch 2, Ch 19).

Hybrid orbitals — summary

Hybrid Made from # of hybrids Geometry % s character Used by
sp 1 s + 1 p 2 linear 50% alkyne C, allene central C, nitrile C/N
sp² 1 s + 2 p 3 trigonal 33% alkene C, carbonyl C, aromatic C, carbocation
sp³ 1 s + 3 p 4 tetrahedral 25% alkane C, alcohol O, amine N

Higher s character → shorter, stronger bond, and the electrons are held more tightly. Hence sp C-H (pKa ~25) is more acidic than sp² C-H (pKa ~44) is more acidic than sp³ C-H (pKa ~50). See Appendix B and Ch 3.

Dipole moments of common functional groups (D)

Molecular dipoles measured in debye (D). 1 D = 3.336 × 10⁻³⁰ C·m. A pure C-H bond is ~0.4 D; C=O is huge.

Group / molecule Dipole (D)
H₂O 1.85
CH₃OH 1.69
CH₃OCH₃ (ether) 1.30
CH₃NH₂ 1.31
NH₃ 1.47
CH₃Cl 1.87
CH₃Br 1.81
CH₃I 1.62
CH₃CN (nitrile) 3.92
CH₃NO₂ 3.46
HCHO (formaldehyde) 2.33
CH₃CHO (acetaldehyde) 2.75
(CH₃)₂CO (acetone) 2.88
HCO₂H 1.41
CH₃CO₂H 1.70
CH₃CO₂CH₃ (ester) 1.72
HCONH₂ (formamide) 3.73

Nitriles and amides have surprisingly large dipoles — relevant to polar aprotic solvent strength (Ch 10) and to crystal packing in pharmaceuticals.

Polarizability — halogens and chalcogens

Polarizability (α, in 10⁻²⁴ cm³) measures how easily an electron cloud distorts. Larger atoms = more polarizable = better nucleophiles in protic solvents and better leaving groups.

Atom / ion α (10⁻²⁴ cm³)
F⁻ 1.04
Cl⁻ 3.66
Br⁻ 4.77
I⁻ 7.10
O (in H₂O) 1.45
S (in H₂S) 3.80
Se 5.0
C (in CH₄) 2.6

Consequence — in protic solvents, nucleophilicity follows I⁻ > Br⁻ > Cl⁻ > F⁻ (opposite of basicity). In aprotic solvents, the order flips (Ch 10).

Ionic vs covalent radii (Å)

Atom Covalent r Ionic r (common state)
H 0.31 0.012 (H⁺) — effectively a point
Li 1.28 0.76 (Li⁺)
Na 1.66 1.02 (Na⁺)
K 2.03 1.38 (K⁺)
Mg 1.41 0.72 (Mg²⁺)
O 0.66 1.40 (O²⁻)
F 0.57 1.33 (F⁻)
Cl 1.02 1.81 (Cl⁻)
Br 1.20 1.96 (Br⁻)
I 1.39 2.20 (I⁻)

Cations are smaller than their neutral atoms; anions are larger. This explains why countercations matter in enolate chemistry (Li⁺ tight, K⁺ loose; Ch 27).

Isotopes used in organic chemistry

Nuclide Natural abundance Use
¹H 99.985% NMR (Ch 9), MS
²H (D) 0.015% isotope labeling, kinetic isotope effects, solvent for NMR (CDCl₃)
¹²C 98.93% MS reference
¹³C 1.07% ¹³C NMR (Ch 9), labeling
¹⁴C trace radioactive labeling, dating
¹⁴N 99.64% quadrupolar, broad NMR
¹⁵N 0.36% ¹⁵N NMR, labeling
¹⁶O 99.76%
¹⁸O 0.20% mechanism labeling (e.g., ester hydrolysis, Ch 26)
³²S 95.0%
³⁴S 4.25% small M+2 in MS
³⁵Cl / ³⁷Cl 75.8 / 24.2% M+2 pattern 3:1
⁷⁹Br / ⁸¹Br 50.7 / 49.3% M+2 pattern 1:1
¹²⁷I 100% monoisotopic, large mass

Magnetic properties / NMR-active nuclei

A nucleus is NMR-active if its spin I ≠ 0. Cross-reference Ch 9.

Nucleus Spin I Natural abundance Sensitivity (rel. to ¹H) Use
¹H 1/2 99.985% 1.00 routine
²H 1 0.015% 0.0096 labeling, lock signal
¹³C 1/2 1.07% 1.59 × 10⁻⁴ routine ¹³C
¹⁴N 1 99.64% quadrupolar — broad rare
¹⁵N 1/2 0.36% 1.04 × 10⁻³ labeled samples
¹⁷O 5/2 0.038% quadrupolar rare
¹⁹F 1/2 100% 0.83 excellent — drug discovery
³¹P 1/2 100% 0.066 excellent — biochemistry
²⁹Si 1/2 4.7% 7.84 × 10⁻³ silyl groups

¹²C and ¹⁶O have I = 0 and are invisible to NMR. This is why ¹H NMR rarely shows direct C-H coupling — most carbons are ¹²C.

Formal charge — cheat sheet

Formula — formal charge = (valence e⁻ of neutral atom) − (lone pair e⁻) − (½ bonding e⁻)

Atom Bonds Lone pairs Formal charge Example
C 4 0 0 CH₄
C 3 0 +1 carbocation
C 3 1 −1 carbanion
C 3 1 (lone pair) 0 (only if neutral carbene) carbene
N 3 1 0 NH₃, amine
N 4 0 +1 NH₄⁺, ammonium, iminium
N 2 2 −1 amide anion (R₂N⁻)
O 2 2 0 H₂O, alcohol, ether
O 3 1 +1 oxonium, protonated alcohol
O 1 3 −1 alkoxide, hydroxide
F/Cl/Br/I 1 3 0 halide
F/Cl/Br/I 0 4 −1 halide anion
F/Cl/Br/I 2 2 +1 halonium

Memorize the neutral patterns — C(4,0), N(3,1), O(2,2), X(1,3) — and reason away from those.

Oxidation states of carbon

Carbon's oxidation state ranges from −4 to +4 depending on what it's bound to. More bonds to O, N, X = higher (more oxidized); more bonds to H = lower (more reduced). Useful for tracking redox in reactions (Ch 36).

Compound class Example C oxidation state
Alkane CH₄ −4
Alkane CH₃CH₃ (each C) −3
Alcohol / alkyl halide CH₃OH, CH₃Cl −2
Alkene (each C) CH₂=CH₂ −2
Aldehyde H₂C=O 0
Geminal diol / acetal H₂C(OH)₂ 0
Alkyne (each C) HC≡CH −1
Carboxylic acid / ester / amide HCOOH +2
Carbonate / urea H₂CO₃ +4
CO₂ CO₂ +4

The oxidation-state ladder for a single carbon — alkane (−3 to −4) → alcohol (−2) → aldehyde/ketone (0) → carboxylic acid (+2) → CO₂ (+4) — is the spine of functional group interconversion (Ch 36).

Oxidation states of nitrogen, oxygen, sulfur

Atom Compound Oxidation state
N NH₃, R-NH₂ −3
N hydroxylamine R-NHOH −1
N nitroso R-N=O +1
N nitro R-NO₂ +3
N nitrate R-ONO₂ +5
O most R-O-R, R-OH −2
O peroxide R-O-O-R −1
O O₂ 0
S thiol R-SH −2
S sulfide R-S-R −2
S sulfoxide R-S(=O)-R 0
S sulfone R-S(=O)₂-R +2
S sulfonic acid R-SO₃H +4

Print this. The atomic primitives — radii, EN, BDEs, hybridization, geometry — recur everywhere. Knowing them cold lets you reason about any reaction.