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Note~648 words · 3 min
The 18-Electron Rule A transition-metal organometallic complex tends to be especially stable when its total valence electron count reaches 18 — filling the metal's nine valence orbitals (1 s + 3 p + 5 d), exactly as the octet rule fills 4 o
Chemistry

Chemistry · L5 · Organometallic Catalytic Cycles: The 18-Electron Rule in Action

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Chemistry · L5 · Organometallic Catalytic Cycles: The 18-Electron Rule in Action
Note~789 words · 4 min
The Goal: Approximating the Schrödinger Equation A molecule's structure, energy, and most other properties are, in principle, all contained in the solution to its electronic Schrödinger equation: This equation can be solved exactly only for
Chemistry

Chemistry · L5 · Computational Chemistry & DFT Basics

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Chemistry · L5 · Computational Chemistry & DFT Basics
Note~1000 words · 5 min
Marcus Theory: Why and How Fast Electron Transfer Happens L4's electrochemistry note covered how far a redox reaction wants to go — E°cell and ΔG° = −nFE°cell tell you whether electrons will flow and how much useful work they can do. Marcus
Chemistry

Chemistry · L5 · Marcus Theory: Why and How Fast Electron Transfer Happens

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Chemistry · L5 · Marcus Theory: Why and How Fast Electron Transfer Happens
Note~1271 words · 6 min
Glass transition, crystallinity, and the chain-structure–property connection L4 classified polymers along one axis: how heavily are the chains cross-linked (thermoplastic vs elastomer vs thermoset)? This note works within the thermoplastics
Chemistry

Chemistry · L5 · Glass Transition, Crystallinity & Chain-Structure–Property Control

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Chemistry · L5 · Glass Transition, Crystallinity & Chain-Structure–Property Control
Note~673 words · 3 min
Why Two Dimensions? A 1D ¹H spectrum plots intensity against a single chemical-shift axis. For a small molecule that is plenty — but for a molecule with many chemically similar protons, peaks pile up and overlap until individual multiplets
Chemistry

Chemistry · L5 · Advanced NMR: 2D Techniques & Coupling Analysis

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Chemistry · L5 · Advanced NMR: 2D Techniques & Coupling Analysis
Note~417 words · 2 min
The Jablonski Diagram When a molecule absorbs a photon, an electron is promoted from the ground electronic state S₀ into some excited singlet state Sₙ (n ≥ 1) — often a higher singlet than S₁, since absorption is governed by whichever trans
Chemistry

Chemistry · L5 · Photochemistry: The Jablonski Diagram

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Chemistry · L5 · Photochemistry: The Jablonski Diagram
Note~589 words · 3 min
Chemistry Beyond the Molecule Jean-Marie Lehn coined 'supramolecular chemistry' to describe a field that sits one level up from ordinary synthesis: instead of building new covalent bonds inside a molecule, it studies how whole molecules and
Chemistry

Chemistry · L5 · Supramolecular Chemistry: Host–Guest Recognition & Preorganization

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Chemistry · L5 · Supramolecular Chemistry: Host–Guest Recognition & Preorganization
Note~848 words · 4 min
Green chemistry — sustainable catalysis Atom economy tells you what a reaction could achieve on paper, from the balanced equation alone, before a single flask is ever run. The E-factor tells you what a process actually achieves — and the ga
Chemistry

Chemistry · L5 · Green Chemistry — Sustainable Catalysis: the E-factor, asymmetric catalysis, and green solvents

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Chemistry · L5 · Green Chemistry — Sustainable Catalysis: the E-factor, asymmetric catalysis, and green solvents
Note~1236 words · 6 min
Enzyme kinetics: the Michaelis-Menten equation Enzyme catalysis is one of the richest, most consequential applications of the steady-state approximation you met for a generic two-step mechanism with an intermediate. There, a reactant A form
Chemistry

Chemistry · L5 · Enzyme Kinetics

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Chemistry · L5 · Enzyme Kinetics
Note~1029 words · 5 min
Surface Chemistry and Adsorption: the Langmuir Isotherm You've already met several heterogeneous catalysts — iron in the Haber process, vanadium(V) oxide in the Contact process, and the platinum, palladium and rhodium of a catalytic convert
Chemistry

Chemistry · L5 · Surface Chemistry and Adsorption

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Chemistry · L5 · Surface Chemistry and Adsorption
Note~924 words · 5 min
Statement of the Third Law The third law of thermodynamics states that the entropy of a perfect, pure crystalline substance approaches zero as the temperature approaches absolute zero: At 0 K, a perfect crystal has its particles locked into
Chemistry

Chemistry · L5 · The Third Law and Absolute Entropy

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Chemistry · L5 · The Third Law and Absolute Entropy
Note~1029 words · 5 min
Crystal field stabilization energy: the arithmetic and its payoff Ligand field theory tells us how strong a given ligand's field is (the spectrochemical series) and whether a d⁴–d⁷ octahedral ion goes high-spin or low-spin. Crystal field st
Chemistry

Chemistry · L5 · Crystal Field Stabilization Energy: The Arithmetic and Its Payoff

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Chemistry · L5 · Crystal Field Stabilization Energy: The Arithmetic and Its Payoff
Note~1163 words · 6 min
Taming the randomness of chain growth Earlier polymer chemistry topics classified finished polymers by cross-link density and asked how chain structure sets bulk properties like Tg and crystallinity. This note steps back one stage further,
Chemistry

Chemistry · L5 · Controlled and Living Polymerization

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Chemistry · L5 · Controlled and Living Polymerization
Note~930 words · 5 min
Asymmetric Catalysis Mechanisms Wilkinson's achiral hydrogenation cycle (RhCl(PPh3)3) already supplies the full mechanistic skeleton: ligand dissociation, oxidative addition, alkene association, migratory insertion, and reductive eliminatio
Chemistry

Chemistry · L5 · Asymmetric Catalysis Mechanisms: The Quadrant Model, Sharpless Epoxidation, and Organocatalysis

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Chemistry · L5 · Asymmetric Catalysis Mechanisms: The Quadrant Model, Sharpless Epoxidation, and Organocatalysis
Note~1027 words · 5 min
Crystal defects and semiconductors The unit-cell picture of a crystal — atoms sitting on perfectly regular lattice sites, with no gaps or extras — is an idealization. Real crystals almost always contain a small population of point defects:
Chemistry

Chemistry · L5 · Crystal Defects and Semiconductors

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Chemistry · L5 · Crystal Defects and Semiconductors
Note~848 words · 4 min
Isotope Patterns: Reading M, M+1, and M+2 A mass spectrum's molecular-ion region is rarely a single clean peak. Small satellite peaks one and two mass units above M come from the natural abundance of heavier isotopes, and their heights are
Chemistry

Chemistry · L5 · Advanced Mass Spectrometry

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Chemistry · L5 · Advanced Mass Spectrometry
Note~1007 words · 5 min
Nanomaterials and quantum confinement A bulk semiconductor's band gap is fixed by its chemical composition and crystal structure — silicon's band gap is silicon's band gap, whether the sample is a millimeter or a meter across. That stops be
Chemistry

Chemistry · L5 · Nanomaterials and Quantum Confinement

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Chemistry · L5 · Nanomaterials and Quantum Confinement
Note~761 words · 4 min
Chemiluminescence: The Opposite Starting Point Photochemistry starts with a photon going IN: a molecule absorbs light, is promoted to an excited electronic state, and eventually relaxes back down, sometimes emitting light of its own as fluo
Chemistry

Chemistry · L5 · Chemiluminescence: Light Out With No Light In

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Chemistry · L5 · Chemiluminescence: Light Out With No Light In
Note~858 words · 4 min
The kinetic isotope effect: an experimental probe for the rate-determining step Identifying the rate-determining step of a proposed mechanism by argument alone — 'this step looks like the bottleneck' — or deriving a rate law from it algebra
Chemistry

Chemistry · L5 · The Kinetic Isotope Effect

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Chemistry · L5 · The Kinetic Isotope Effect
Note~793 words · 4 min
The CuAAC Reaction: A Third Kind of Cycloaddition The copper(I)-catalyzed azide–alkyne cycloaddition (CuAAC) joins an organic azide (R–N₃) and a terminal alkyne (R'–C≡CH) into a 1,2,3-triazole ring. Formally it is a [3+2] cycloaddition — th
Chemistry

Chemistry · L5 · Click Chemistry and Bioorthogonal Labeling

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Chemistry · L5 · Click Chemistry and Bioorthogonal Labeling
Note~561 words · 3 min
Chirality Without a Stereocenter Ordinary (point) chirality requires a stereocenter: an atom bonded to four different substituents arranged tetrahedrally, whose mirror image cannot be superimposed on the original. Atropisomerism produces ch
Chemistry

Chemistry · L5 · Atropisomerism and Axial Chirality

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Chemistry · L5 · Atropisomerism and Axial Chirality
Note~548 words · 3 min
The Rocking-Chair Mechanism A lithium-ion battery does not consume its electrode materials the way, say, a lead-acid battery consumes lead and lead dioxide. Instead, Li⁺ ions shuttle back and forth between two intercalation host structures
Chemistry

Chemistry · L5 · Battery Chemistry & Materials

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Chemistry · L5 · Battery Chemistry & Materials
Note~516 words · 3 min
Metalloenzymes: Nature's Small-Molecule Activation Chemistry A handful of metalloenzymes perform reactions — N2 fixation, four-electron water oxidation, selective C–H hydroxylation, reversible H2 cycling — that remain difficult or impossibl
Chemistry

Chemistry · L5 · Bioinorganic Metalloenzymes

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Chemistry · L5 · Bioinorganic Metalloenzymes
Note~593 words · 3 min
Six-Electron Carbon: Singlet and Triplet Carbenes A carbene carbon has only six valence electrons — two fewer than a normal tetravalent carbon — with two non-bonding electrons left over. Those two electrons can pair up in a single orbital (
Chemistry

Chemistry · L5 · Carbene Chemistry

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Chemistry · L5 · Carbene Chemistry
Note~614 words · 3 min
Measuring Activity, Not Just Abundance Most proteomic methods measure how much of a protein is present. Activity-based protein profiling (ABPP) instead measures whether an enzyme is catalytically FUNCTIONING, using a small-molecule probe de
Chemistry

Chemistry · L5 · Chemical Biology and Activity-Based Probes

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Chemistry · L5 · Chemical Biology and Activity-Based Probes
Note~542 words · 3 min
Docking: Fast Search, Approximate Scoring Molecular docking solves two problems together for every candidate compound: SEARCH (where and how does the ligand fit into the binding site — its pose) and SCORING (how favorable is that pose energ
Chemistry

Chemistry · L5 · Computational Docking & Drug Design

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Chemistry · L5 · Computational Docking & Drug Design
Note~496 words · 2 min
Reading a Polarization Curve A fuel cell's polarization curve — cell voltage plotted against current density — always slopes downward from the theoretical open-circuit voltage, because drawing any real current incurs real voltage losses. Th
Chemistry

Chemistry · L5 · Electrocatalysis and Fuel Cells

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Chemistry · L5 · Electrocatalysis and Fuel Cells
Note~458 words · 2 min
From Batch Flasks to Continuous Flow In batch chemistry, reagents combine in one vessel and the whole pool reacts together over an extended period, with heat and mass transfer limited by the flask's surface-to-volume ratio and the efficienc
Chemistry

Chemistry · L5 · Flow Chemistry and Continuous Processing

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Chemistry · L5 · Flow Chemistry and Continuous Processing
Note~634 words · 3 min
A Label That (Mostly) Doesn't Change the Chemistry Isotopes of the same element share essentially identical electronic structure and chemical reactivity, differing mainly in nuclear mass and, for radioisotopes, decay behavior. That near-che
Chemistry

Chemistry · L5 · Isotope Labeling and Tracer Studies

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Chemistry · L5 · Isotope Labeling and Tracer Studies
Note~554 words · 3 min
Buried Orbitals, Electrostatic Bonding The defining structural feature of lanthanide chemistry is that the 4f orbitals, despite carrying meaningful electron density close to the nucleus, are shielded from the surrounding ligand environment
Chemistry

Chemistry · L5 · Lanthanide and Actinide Chemistry

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Chemistry · L5 · Lanthanide and Actinide Chemistry

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