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THE LESSON LIBRARY / CHEMISTRY

Chemistry, explored.

4,747 free learning pages. Pick a question and start exploring.

ChemistryLesson

Chains, Branches and Rings

Take four carbon atoms and join them. You can line them up in a row, hang one off the middle of a three-carbon row, or close them into a square ring. Each arrangement is a…

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ChemistryLesson

Chair Transition States in [3,3] Shifts

A [3,3] rearrangement can create a new σ bond and move double bonds with high stereochemical order. Its six-atom transition-state array can fold into a chair-like or boat-like…

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ChemistryLesson

Changes in Everyday Life

You do not need a laboratory to see physical and chemical changes: your kitchen, garden and street are full of them. Ice melts in a drink, bread rises and browns in the oven, an…

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ChemistryLesson

Changes of State Are Physical Changes

Melt some ice and you get water. Freeze the water and you get ice again. Boil it and it becomes steam, which condenses back into water on a cold window. Through all these changes…

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ChemistryLesson

Changes of State as Physical Changes

On a cold morning, water may exist as ice on a windscreen, liquid in a puddle and vapour in the air, all at the same time. Changing between these states is one of the most common…

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ChemistryLesson

Changes of State: An Overview

An ice cube melts in a drink, a puddle dries up in the sun, a bathroom mirror mists over and frost appears on a car windscreen on a cold morning. Each of these is a change of…

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ChemistryLesson

Changing Markovnikov to Anti-Markovnikov Products

An unsymmetrical alkene can produce different positional products depending on how H and another group add across C=C. Acid hydration commonly places OH on the more substituted…

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ChemistryLesson

Characterising Colloids: Light Scattering and Electrophoresis

A colloidal liquid can look uniform while containing a broad mixture of particle sizes and aggregates. Dynamic light scattering, DLS, follows how quickly scattered light…

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ChemistryLesson

Characterising Solids

A sample labelled “the target oxide” may actually contain two crystalline phases, amorphous residue, pores and a surface with altered oxidation state. Characterisation tests…

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ChemistryLesson

Characterizing Energy Materials

A battery cell that loses capacity and a solar cell that loses power both give a clear performance signal, but neither signal identifies the damaged component. Energy materials…

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ChemistryLesson

Characters and Reducible Representations

Writing a matrix for every operation becomes cumbersome when a molecule has many atomic orbitals or displacement coordinates. The trace of each matrix, called its character…

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ChemistryLesson

Charge and Stability of Colloids

Many sols remain dispersed because their particles repel one another when close enough to collide. The repulsion often comes from charged surfaces and surrounding ions.…

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ChemistryLesson

Charge Balance in Aqueous Equilibrium

A bulk aqueous solution cannot retain a large net electrical charge. Its positive and negative charge equivalents balance, even though individual ion concentrations need not be…

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ChemistryLesson

Charge Balance in Aqueous Mixtures

A bulk aqueous solution is electrically neutral even when it contains many charged particles. The positive and negative charges balance in aggregate; the concentrations of…

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ChemistryLesson

Charge Balance in Aqueous Systems

A beaker of salt solution does not give you an electric shock, and it does not repel a charged rod. Solutions are electrically neutral. That simple observation becomes a precise…

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ChemistryLesson

Charge-Transfer Spectra

Some coordination compounds have intense colours even with no conventional d–d transition. Their absorption can move electron density between ligand and metal rather than merely…

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ChemistryLesson

Charge, Current and Time — Electricity and Chemistry

Chemical product amounts in electrolysis depend on how much charge passes, not merely on whether a cell was switched on. At constant current, charge Q equals current I multiplied…

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ChemistryLesson

Charge, Current and Time — Electrochemistry

Electrolysis problems often provide current and time instead of charge directly. Since one ampere is one coulomb per second, constant-current charge is Q = It. This charge…

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ChemistryLesson

Charges of Subatomic Particles

The plus and minus signs in atomic diagrams stand for measurable electrical properties. They can be used as relative counting units or converted into coulombs. Learning to move…

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ChemistryLesson

Charles's Law at Fixed Pressure

When a fixed amount of gas warms under a movable boundary that keeps pressure approximately constant, it expands. Charles's law gives the ideal relationship: volume is directly…

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ChemistryLesson

Checking and Simplifying Coefficients

Finding coefficients is only part of balancing. A final audit catches quiet mistakes: an oxygen count changed while hydrogen was being fixed, a bracket was not multiplied, or a…

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ChemistryLesson

Checking Answers for Reasonableness

An answer can pass through a calculator flawlessly and still be chemically unreasonable. Before accepting it, compare the sample with one mole's mass, check whether a particle…

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ChemistryLesson

Checking Answers with Units

A calculator never argues. If you type the numbers in the wrong order, it will happily give you a precise-looking answer that is completely wrong. Units are your first line of…

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ChemistryLesson

Checking Balanced Redox Equations

A redox equation can look convincing and still be wrong. Three independent questions catch most errors: Does every element have the same atom count on both sides? Is total…

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ChemistryLesson

Checking Lewis Structures Systematically

A Lewis structure can look neat and still be wrong. A reliable check asks several separate questions: Are the correct atoms connected? Is the total electron count exact? Do local…

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ChemistryLesson

Checking Mass Conservation in a Balanced Equation

Balanced equations conserve each element, so they also conserve total mass. We can check this numerically by adding the relative masses of all reactant formula units and…

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ChemistryLesson

Checking Purity and Identity

After purification, a clean-looking product is not automatically the intended pure compound. Melting and boiling behaviour, TLC or other chromatography, and structural…

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ChemistryLesson

Chelate Effect

Multidentate ligands often bind a metal more strongly overall than an equivalent collection of separate one-site ligands. This is called the chelate effect. It is a thermodynamic…

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ChemistryLesson

Cheletropic Reactions

Ordinary cycloadditions join the ends of two multi-atom components. A cheletropic reaction is a special case in which both new σ bonds to a conjugated substrate attach to a…

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ChemistryCollection

Chemical and Statistical Thermodynamics I

Study Chemical and Statistical Thermodynamics I with 60 free lessons, worked examples, and answered practice questions.

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ChemistryLesson

Chemical and Statistical Thermodynamics: Unit Review

This unit connects the behaviour of individual molecules to phase diagrams used in laboratories and industry. Partition functions encode accessible microscopic states…

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ChemistryLesson

Chemical Behaviour of Metals and Non-metals

Physical properties tell you how an element looks and handles, but chemistry is about how elements react. Here too, metals and non-metals behave in opposite ways. Metal atoms…

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ChemistryCollection

Chemical Bonding and Molecular Structure

Study Chemical Bonding and Molecular Structure with 70 free lessons, worked examples, and answered practice questions.

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ChemistryLesson

Chemical Bonding and Molecular Structure Review

Chemical bonding is not one diagram. Ionic-lattice models, Lewis structures, VSEPR, hybrid orbitals and molecular orbitals each highlight different evidence. A strong review…

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ChemistryCollection

Chemical Bonding: Ionic and Covalent

Study Chemical Bonding: Ionic and Covalent with 60 free lessons, worked examples, and answered practice questions.

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ChemistryLesson

Chemical Bonding: Unit Review

Chemical bonding connects electron arrangements with formulas, structures and material properties. The unit's most important habit is to move carefully between these levels. An…

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ChemistryLesson

Chemical Changes

A shiny strip of magnesium ribbon, touched by a flame, burns with a dazzling white light and leaves behind a crumbly white powder. The powder is not magnesium: it does not shine…

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ChemistryLesson

Chemical Data Provenance

A concentration number without a sample identity or preparation history is difficult to trust or reuse. Even a correct instrument calculation can be assigned to the wrong vial or…

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ChemistryCollection

Chemical Equations and Balancing

Study Chemical Equations and Balancing with 50 free lessons, worked examples, and answered practice questions.

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ChemistryLesson

Chemical Equations and Balancing: Unit Review

This unit turns descriptions of reactions into precise chemical shorthand. A formula says which atoms belong to each substance; a coefficient says how many of those units take…

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ChemistryLesson

Chemical Equilibrium Formulae

An equilibrium formula is built from a balanced reaction. Its quotient compares product and reactant activities with exponents equal to stoichiometric coefficients. The same…

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ChemistryLesson

Chemical Equilibrium Mixed Problems

Mixed equilibrium problems test whether the right question is asked at each stage. A disturbance can change the current quotient, the direction of adjustment, and the final…

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ChemistryLesson

Chemical Exchange on the NMR Timescale

Molecules can interconvert between environments while an NMR instrument observes them. A proton may move between conformers, a ligand may bind and unbind, or two sites may…

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ChemistryLesson

Chemical Formulae: What They Tell Us

A chemical formula is chemistry's shorthand. In just a few characters, such as H₂O, CO₂ or NaCl, it tells a chemist anywhere in the world exactly which substance is meant. A…

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ChemistryCollection

Chemical Kinetics

Study Chemical Kinetics with 35 free lessons, worked examples, and answered practice questions.

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ChemistryLesson

Chemical Kinetics: Unit Review

Chemical kinetics connects observable concentration change with molecular pathways. The central discipline is to keep separate what the balanced equation tells us, what…

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ChemistryLesson

Chemical Potential and Reaction Equilibrium

A reaction changes several species amounts in fixed stoichiometric proportions. Chemical potential tells how Gibbs energy responds to each amount change; adding those responses…

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ChemistryLesson

Chemical Potential and Spontaneous Matter Flow

A gas diffuses, a solute crosses a membrane, and a liquid evaporates because moving material can lower the appropriate thermodynamic potential. At constant temperature and…

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ChemistryLesson

Chemical Potential from Particle Exchange

Chemical potential is often introduced as partial molar Gibbs energy. A particle-exchange viewpoint makes its meaning more concrete: it is the free-energy cost of adding material…

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ChemistryLesson

Chemical Potential of an Ideal Gas

Compressing an ideal gas changes its tendency to move, mix and react even when temperature stays constant. Chemical potential measures that tendency. For an ideal gas, its…

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ChemistryLesson

Chemical Potential of Ions in Solution

Concentration counts dissolved particles, but it does not by itself express the free-energy tendency of an ion to move or react. Neighboring ions alter that tendency through…

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ChemistryLesson

Chemical Potential: Worked Problems

Chemical-potential problems often combine several formulas that look similar but apply to different species and reference states. An ideal gas uses a partial-pressure ratio, an…

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ChemistryLesson

Chemical Properties of Isotopes

Isotopes of an element normally form the same broad kinds of compounds. This follows from their shared nuclear charge and, when neutral, their shared electron count. Their…

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ChemistryLesson

Chemical Quantities and Measurement

Chemistry calculations begin with measured quantities, but a number alone is not an answer. “Five” might mean grams, millilitres, moles or molecules. A complete statement gives a…

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ChemistryLesson

Chemical Reactions as Networks

A single reaction arrow hides much of what can happen in a flask, catalyst or atmosphere. Reactants can form intermediates, branch into products and cycle back through reversible…

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ChemistryLesson

Chemical Shift and the δ Scale

Protons in different chemical environments absorb at slightly different radio frequencies. The trouble is that the actual frequencies depend on the magnet: the same proton in…

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ChemistryLesson

Chemical Tests for Water

Many colourless liquids look just like water: ethanol, some salt solutions and various oils. How can a chemist tell whether a liquid contains water without tasting it (which is…

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ChemistryLesson

Chemiosmosis and the Proton-Motive Force

The electron transport chain moves electrons downhill in free energy, yet ATP synthase is a separate protein. How does one process power the other without passing a reactive…

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ChemistryLesson

Chemistry All Around Us

You do not need a laboratory to meet chemistry. Every morning you use dozens of chemical products and take part in hundreds of chemical reactions before you even leave the house.…

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ChemistryLesson

Chemistry and Society

Much of modern life depends on chemistry. People today live longer, eat more reliably and have more energy available than at any time in history, and chemistry is a major reason…

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ChemistryLesson

Chemistry and the Environment

The same chemistry that gives us fuels, fertilisers and plastics can harm air, water and soil when substances end up in the wrong place or in the wrong amounts. Understanding…

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ChemistryLesson

Chemistry Glossary: How to Use Terms

A chemistry glossary is a tool for reasoning, not a list of words to memorize without context. The same everyday word may carry a narrower chemical meaning, and the same letter…

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ChemistryLesson

Chemistry Glossary: Unit Review

The glossary is complete when its words help solve a problem, not when its entries have been memorized. Across the course, a sample may be a mixture yet one phase; an equation…

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ChemistryLesson

Chemists and What They Do

When you hear the word "chemist", you might picture someone in a white coat pouring coloured liquids. Some chemists do work like that, but chemists also design medicines on…

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ChemistryLesson

Chemoselectivity and Protecting Groups

A route can be sound for an isolated functional group and fail in a molecule containing several reactive sites. A reagent meant to transform one alcohol may react with another; a…

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ChemistryLesson

Chemoselectivity and Regioselectivity

A reagent can encounter more than one possible partner in a complex molecule. Choosing one functional-group type over another is chemoselectivity; choosing one position within a…

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ChemistryLesson

Chemoselectivity in Multi-Step Routes

A multifunctional molecule gives a reagent more than one possible place to react. Chemoselectivity asks whether the desired functional group changes while another remains intact.…

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ChemistryLesson

Chemoselectivity, Regioselectivity and Stereoselectivity — Catalyst Design and Comparison

“Selective” is ambiguous until the alternatives are named. A molecular catalyst can choose which functional group reacts, which position on a molecule is modified and which…

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ChemistryLesson

Chemoselectivity, Regioselectivity and Stereoselectivity — Organometallic Chemistry and Catalysis

A catalyst that makes a mixture of products is rarely useful. The real power of organometallic catalysis lies in steering a reaction toward one functional group, one position and…

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ChemistryLesson

China Rose and Flower Petal Indicators

Walk through a garden in a warm country and you will often see large, bright red hibiscus flowers, known in India as the China rose. These petals are not only beautiful: they…

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ChemistryLesson

Chiral Pool, Auxiliaries and Asymmetric Catalysis

If a target requires one enantiomer, an ordinary achiral route may produce a racemate. Three broad planning strategies can introduce handedness: begin with a chiral-pool building…

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ChemistryLesson

Chirality and Mirror Images

A left glove and a right glove are mirror images, but turning one in space never makes it fit the other hand. Some molecules have the same kind of handedness. Chirality matters…

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ChemistryLab

Chirality and R/S

Assign R or S to a stereocentre and see what mirror images and SN2 reactions do to it.

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ChemistryLesson

Chirality and Stereocentres

Hands have the same parts and mirror each other, yet a left hand cannot be placed exactly over a right hand with all fingers aligned. Some molecules show the same property. They…

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ChemistryLesson

Chirality in Medicines and Biology

Two enantiomers have the same atom connections and many matching properties in an achiral environment. Living systems are not achiral: proteins, enzymes, sugars and nucleic acids…

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ChemistryLesson

Chirality Without Stereocentres

A chiral molecule need not contain a tetrahedral carbon with four distinct groups. Chirality is defined by non-superimposability on a mirror image, so axes and stable twisted…

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ChemistryLesson

Chlorine Formation from Brine

In a suitable concentrated-brine cell, chloride ions are oxidized at the positive anode to chlorine gas. The half-reaction is short but chemically important: two chloride ions…

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ChemistryLesson

Chlorine in Water

Chlorine dissolved in water does more than remain as Cl₂ molecules. It undergoes hydrolysis to produce chloride and hypochlorous acid. The balance among Cl₂, HOCl and OCl⁻…

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ChemistryLesson

Choosing a Convenient Calculation Basis

Many composition problems give ratios rather than an actual sample amount. A convenient basis turns those ratios into simple numbers: 100 g of solution for mass percent, 1.00 L…

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ChemistryLesson

Choosing a Lewis Skeleton

Once the valence-electron budget is known, a Lewis structure needs a skeleton: which atoms connect to which? The formula often gives the numbers of atoms but does not fully…

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ChemistryLesson

Choosing a Metal for an Application

A material is useful because its properties fit a particular task. Copper conducts electricity very well, aluminium offers low density, steel offers varied structural strength…

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ChemistryLesson

Choosing a Separation Method

Because the substances in a mixture are not chemically bonded, they can be separated by physical methods. But which method? Filtering salt water gets you nowhere, and boiling…

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ChemistryLesson

Choosing an Analytical Method

There is no single best analytical technique for every chemical question. Titrimetry counts reaction equivalents through volume, gravimetry converts analyte to a weighed form…

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ChemistryLesson

Choosing an Electronic-Structure Method

There is no single electronic-structure method that is best for every molecule and property. Hartree–Fock, correlated wavefunction methods and density-functional approximations…

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ChemistryLesson

Choosing an Indicator for Titration

Universal indicator is excellent for estimating pH, so why is it almost never used in a titration? A titration depends on spotting the exact drop at which the acid is…

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ChemistryLesson

Choosing Approximation versus Exact Algebra

Physical chemistry is full of shortcuts: treating a weak acid as barely ionised, ignoring the hydrogen ions supplied by water, or assuming a gas is ideal. Each shortcut turns…

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ChemistryLesson

Choosing Equations for Ionic Equilibrium

Once you know how to write equilibrium expressions, mass balances and a charge balance, a practical question arises: which ones do you actually need? Write too few and the…

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ChemistryLesson

Choosing Metals for a Job

There is no single “best metal” for every object. A wire, a bridge component and a lightweight frame have different demands. Conductivity, strength, mass, shaping, corrosion…

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ChemistryLesson

Choosing Molecular Coordinates

A potential energy surface is independent of how we label a molecular geometry, but our calculations and explanations are not. Cartesian positions are universal and convenient…

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ChemistryLesson

Choosing Partners for Williamson Synthesis

An unsymmetric ether can often be drawn as two possible alkoxide–halide pairings. The better Williamson route puts the leaving group on the carbon most accessible to SN2 attack.…

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ChemistryLesson

Choosing SN1 or SN2

SN1 and SN2 are models for distinct substitution pathways, not labels chosen from a single clue. A primary substrate often supports SN2; a tertiary substrate can support SN1…

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ChemistryLesson

Choosing the Analytical Wavelength

A UV-visible spectrophotometer can be set to any wavelength across its range, yet an analyst measuring the concentration of a coloured solution almost always chooses one…

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ChemistryLesson

Choosing the Correct State Symbols

Choosing state symbols is an evidence task. A formula may represent a solid, a liquid, a gas or a dissolved substance depending on the situation. Begin with the question's…

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ChemistryLesson

Choosing the Longest Parent Chain

Selecting a parent chain is a graph problem, not a matter of drawing the longest horizontal line. A continuous chain can turn through a branch. For simple alkanes one chooses the…

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ChemistryLesson

Choosing the Parent Carbon Chain

Naming a branched carbon compound begins with choosing a parent structure. The longest visible line is a useful first guess, but an eligible parent must also contain the feature…

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ChemistryLesson

Choosing the Right Acid–Base Model

Acid–base questions can look similar while asking for different answers. “Which species donates a proton?” asks for a particle model. “How many moles react?” asks for…

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ChemistryLesson

Choosing the Right Material

Why are bridges made of steel and concrete rather than wood or glass? Why are drink bottles plastic or glass but not iron? Choosing a material means matching its properties to…

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ChemistryLesson

Chromatography and Purity

In chemistry, a pure substance contains only one element or compound. Earlier in this unit, purity was tested with melting and boiling points. Chromatography offers a different…

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ChemistryLab

Chromatography Learning Model

Explore the free chromatography chemistry station. Read the model assumptions, make a prediction and compare the numerical and visual results.

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ChemistryLesson

Chromium and Copper Exceptions

Chromium and copper are standard reminders that an orbital filling mnemonic is an approximation. Their observed neutral ground-state occupancies differ from the simplest…

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ChemistryLesson

Chromium and Manganese Chemistry

Chromium and manganese have several oxidation states and vivid oxoanion chemistry. Chromate and dichromate interconvert with pH while keeping Cr at +6. Permanganate contains Mn…

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ChemistryLesson

Chromophores and Types of Transition

Only part of a molecule is usually responsible for its UV-visible absorption. In propanone, for example, the methyl groups contribute almost nothing, while the C=O group produces…

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ChemistryLesson

CIP Rules for Multiple Bonds and Isotopes

Simple CIP rankings use atomic number, but tied carbon branches often contain multiple bonds or isotopes. The formal duplicate-atom convention makes a double or triple bond…

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ChemistryLesson

Cis-Trans Naming and Its Limits

Once geometric isomers are recognised, they need names. The oldest and most intuitive system uses the Latin words cis, "on this side", and trans, "across". For a simple alkene…

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ChemistryLesson

Cis–Trans Photoisomerisation and Vision

A carbon–carbon double bond normally resists rotation because twisting disrupts π overlap. Light can excite a molecule and change the energetic cost of twisting, so cis and trans…

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ChemistryLesson

Claisen Condensation

An ester with an alpha hydrogen can form an enolate and attack a second ester molecule, creating a new C–C bond. Unlike an aldol addition to an aldehyde or ketone, the attacked…

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ChemistryLesson

Clapeyron and Clausius–Clapeyron Revisited

The slope of a phase boundary is not just a feature to memorise from a diagram. It follows by differentiating equality of chemical potentials along the coexistence curve. The…

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ChemistryLesson

Classical Gas Partition Functions Revisited

The ideal-gas equation can be derived from molecular translation, but a postgraduate treatment must also get entropy and chemical potential right. The distinction between…

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ChemistryLesson

Classical Molecular Mechanics

Quantum calculations can describe bond rearrangement and electronic response, but they become expensive for a solvated protein, polymer or liquid containing many thousands of…

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ChemistryLesson

Classical Trajectory Simulations

A minimum-energy path describes where a molecule can travel on an energy landscape, but it does not say how a moving molecule actually travels. Classical trajectory simulations…

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ChemistryLesson

Classification and Periodicity: Unit Review

The periodic table links atomic identity to chemical prediction. Atomic number orders elements; electron configurations explain recurring group patterns; shielding and nuclear…

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ChemistryCollection

Classification of Elements and Periodicity

Study Classification of Elements and Periodicity with 35 free lessons, worked examples, and answered practice questions.

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ChemistryLesson

Classifying Anions for Analysis

Anions are often identified by a different logic from cations. Instead of one universal group-separation tree, an analyst chooses a small set of chemical reactions: some anions…

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ChemistryLesson

Classifying Carbon Atoms and Hydrogens

Organic mechanism descriptions often say primary, secondary or tertiary. For a carbon centre, these words count the number of other carbon atoms directly bonded to that centre.…

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ChemistryLesson

Classifying Cations into Analytical Groups

Classical cation analysis sorts ions into groups by which reagent causes them to precipitate under a specified sequence of conditions. The grouping is operational rather than a…

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ChemistryLesson

Classifying Isomers: A Stereochemical Map

A formula such as C₄H₈ does not uniquely specify a substance. But-1-ene, but-2-ene and cyclobutane differ in bonding, while two forms of but-2-ene differ only in spatial…

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ChemistryLesson

Classifying Ligands: L, X and Z Types

Electron counting becomes more reliable when ligands are classified by how they exchange electron pairs with a metal. The common L, X and Z scheme separates neutral donors…

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ChemistryLesson

Classifying Materials by Their Properties

There are millions of materials, but most fall into a handful of families with recognisable sets of properties. Sorting materials into groups lets chemists and engineers predict…

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ChemistryLesson

Classifying Pericyclic Reactions

Pericyclic chemistry includes several reaction families that look different on a structural drawing. Classifying the bond changes first makes the correct orbital rule easier to…

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ChemistryLesson

Classifying Phase Transitions

The word transition covers boiling, freezing, magnetic ordering and many other changes, but their thermodynamic signatures differ. At ordinary boiling, two phases coexist and a…

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ChemistryLesson

Classifying Polymers

There are thousands of commercial polymers, so chemists need ways to sort them. A single polymer can be described by where it comes from, by how it was made, by the shape of its…

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ChemistryLesson

Classifying Primary, Secondary and Tertiary Alcohols

Primary, secondary, and tertiary describe the carbon directly bonded to OH, not the number of OH groups in the molecule. This local carbon-neighbor count predicts whether a…

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ChemistryLesson

Classifying Primary, Secondary and Tertiary Amines

The words primary, secondary and tertiary have a precise meaning for amines: count the carbon-containing groups directly attached to nitrogen. A primary amine has one, a…

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ChemistryLesson

Classifying Solids

Solids resist flow because their constituent particles are held in relatively fixed arrangements, but not all solids have the same internal order or bonding. Crystal structures…

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ChemistryLesson

Classifying Unfamiliar Reactions

Real reactions do not promise to fit one classroom box. Burning magnesium is both combustion and combination; burning methane is combustion but produces two compounds.…

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ChemistryLesson

Cleaner Fuels and Alternatives

Fossil fuels are convenient, energy-dense and cheap, but burning them adds carbon dioxide to the atmosphere and releases other pollutants. They are also finite. Chemists and…

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ChemistryLesson

Close-Packed Layers

Equal spheres can form a dense triangular layer, and the next layer nests in some of its hollows. Repeating this construction in two different ways produces cubic close packing…

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ChemistryLesson

Coagulation of Colloids

A stable-looking sol can become cloudy and separate after a small amount of electrolyte is added. This is coagulation: particles that previously remained apart now join into…

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ChemistryLesson

Coefficients as Reacting Ratios

Balanced coefficients do more than show that atoms match. They state the relative amounts of substances that react and form. A 2:1:2 equation can describe two molecules, two…

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ChemistryLesson

Coefficients Versus Subscripts

Compare 2H₂O with H₂O₂. Both contain the digits 2 and the symbols H and O, yet they describe entirely different things. The first means two molecules of water; the second means…

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ChemistryLesson

Coenzymes, Cofactors and Vitamins

Protein side chains can carry out many reactions, but cells also use non-protein helpers to extend the range of enzyme chemistry. Metal ions can polarise substrates or transfer…

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ChemistryLesson

Coffee-Cup Calorimetry

A foam-cup calorimeter is a simple way to measure heat from a reaction in solution. The vessel is close to atmospheric pressure, so the heat exchanged by the reaction can…

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ChemistryLesson

Collecting Gas over Water

A common laboratory collection method displaces water from an inverted container. The gas produced by a reaction occupies the container together with water vapour. Its measured…

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ChemistryLesson

Colligative Effect from Solute Mass

A nonvolatile dissolved solute can lower a solvent's freezing point. A numerical problem often gives masses of solute and solvent rather than molality. The route is sequential…

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ChemistryLab

Colligative properties

Dissolved particles lower the vapour pressure, raise the boiling point and lower the freezing point.

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ChemistryLesson

Colligative Properties from Chemical Potential

Adding a nonvolatile solute can raise a solvent's boiling point and lower its freezing point. These two directions are consequences of one change: mixing lowers the liquid…

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ChemistryLesson

Colligative Properties: Counting Particles

Some solution properties depend mainly on how many effective solute particles are dissolved rather than the specific chemical identity of each particle. These are called…

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ChemistryLesson

Collision Energy and Scattering

Reaction rates average over enormous numbers of molecular encounters. Scattering studies focus on what happens in an individual class of encounters with specified collision…

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ChemistryLesson

Collision Frequency and Collision Cross-Section

Kinetic theory says gas molecules collide, but a reaction-rate estimate needs to count how often. A hard-sphere model treats molecules as spheres with fixed radii and asks when…

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ChemistryLab

Collision theory

A + B molecules collide. Only collisions with enough energy and the right orientation react.

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ChemistryLesson

Collision Theory

Molecules must interact before they can exchange atoms or electrons, but most encounters do not necessarily make product. Collision theory explains rates using encounter…

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ChemistryLesson

Colloidal Dispersions

Milk, fog and many paints look uniform from a distance but contain distinct phases on a smaller scale. They are colloidal dispersions. Their behavior depends on which phase is…

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ChemistryLesson

Colloidal Nanoparticle Synthesis

Colloidal synthesis builds nanoparticles in a liquid where molecular precursors react, tiny nuclei appear and those nuclei grow while surrounded by ligands and solvent. The…

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ChemistryLesson

Colloidal Stability and Aggregation

A stable nanoparticle core is not necessarily a stable nanoparticle dispersion. Particles in a liquid collide constantly and may stick together, changing their hydrodynamic size…

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ChemistryLab

Colloids

Colloids: light scattering (Tyndall effect), coagulation by salts, and soap micelles.

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Colour and Complementary Colours

A solution of copper(II) sulfate looks blue, yet copper(II) ions do not emit blue light. Instead, they absorb light at the red–orange end of the spectrum, and the remaining light…

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Colour Centres in Crystals

Pure alkali-halide crystals are commonly transparent in the visible region, yet irradiating or chemically reducing one can make it coloured. The change need not mean a new bulk…

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Colour Change as Evidence

A cut apple turns brown, a copper roof slowly turns green, and red cabbage juice turns pink in vinegar. Colour changes are among the easiest signs of change to spot, and they…

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Colour of Coordination Compounds

Coordination compounds can be vividly coloured because their electronic states absorb portions of visible light. The colour we see is usually the light transmitted or reflected…

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Colour, Lustre and Transparency

The first things we notice about a material are usually how it looks: its colour, whether it shines and whether we can see through it. These visual properties arise from how the…

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Column Chromatography

Column chromatography turns the migration idea of TLC into a flow-through separation. A sample enters a column containing a stationary bed, and mobile fluid carries components…

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Combination and Decomposition as Opposites

A combination equation can often be written backward as a decomposition equation, and vice versa. CaO + CO₂ → CaCO₃ joins two substances into one; CaCO₃ → CaO + CO₂ splits one…

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Combination and Decomposition Redox

“Combination” and “decomposition” describe how many reactant and product formulas appear in an equation. “Redox” describes whether oxidation numbers change. These labels answer…

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Combination Reactions in Industry and Daily Life

Reaction categories become more useful when linked to real settings. Ammonia synthesis supplies a major chemical feedstock, slaking lime makes calcium hydroxide for practical…

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Combination Reactions: The Basic Idea

In a combination reaction, two or more reactant substances form one product substance. The equation may involve elements, compounds or both. Counting distinct substances reveals…

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Combined Gas Law

Boyle's, Charles's and the pressure-temperature laws each hold one variable fixed. A gas sample may instead change pressure, volume and temperature together. If its amount…

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Combining Advanced Spectroscopies

No single spectroscopy tells the whole story of a molecule or material. NMR maps connectivity and dynamics in diamagnetic molecules, EPR sees only unpaired electrons, Mössbauer…

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Combining Equilibrium Reactions

Some desired equilibrium reactions are sums of simpler reactions whose constants are known. When equations are added, their thermodynamic constants multiply. Intermediates that…

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Combining Half-Reactions

Balancing each half-reaction is only part of the job. A final chemical equation must have exactly as many electrons released by oxidation as consumed by reduction, so no…

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Combining IR and Mass Spectrometry

Infrared spectroscopy tells you what kind of compound you have — an alcohol, a ketone, a carboxylic acid — but says little about its size. Mass spectrometry tells you how heavy…

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Combining Mechanistic and Data-Driven Models

Mechanistic models encode what is known about atoms, sites and rates; data-driven models can capture patterns where parameters are uncertain or exhaustive calculation is costly.…

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Combining NMR with Other Techniques

Mass spectrometry and IR tell you how big a molecule is and which functional groups it carries, but they rarely show how the atoms are joined. Nuclear magnetic resonance fills…

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Combining Simple Half-Reactions

Two correct half-reactions may not yet fit together. One might release three electrons for each atom while the other accepts two. Multiply whole half-reactions so the released…

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Combining Structural and Stereoisomer Counts

A formula can support more than cis/trans or optical isomers. A ligand may swap with a counterion, or an ambidentate ligand may attach through different atoms. These are…

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Combining Symmetry Operations

Recognising individual symmetry elements is only the beginning. Applying one valid operation and then another also leaves a molecule indistinguishable from its start. The…

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Combining Thermochemical Equations

With three or more supplied equations, Hess's law becomes a careful bookkeeping problem. Each supplied reaction can be reversed or multiplied, but the final sum must reproduce…

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Combining Volumes of Reacting Gases

Reacting gases often show simple whole-number volume ratios when all gas volumes are compared at the same temperature and pressure. Two volumes hydrogen can react with one volume…

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Combustion Across Organic Families

Alkanes, alkenes, alcohols and many other organic compounds can burn. For complete combustion of a compound containing C, H and O, the carbon atoms become CO₂ and hydrogen atoms…

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Combustion Analysis

Burning an organic sample completely can turn its carbon into CO₂ and its hydrogen into H₂O. Measuring those products reveals how much carbon and hydrogen the original sample…

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Combustion Analysis of Carbon and Hydrogen

When a carbon- and hydrogen-containing sample burns completely in excess oxygen, its carbon is represented in collected CO₂ and its hydrogen in collected H₂O. Product masses can…

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Combustion Analysis with Oxygen Difference

Burning an organic sample completely can convert its carbon into CO₂ and hydrogen into H₂O. Measured product masses then reveal how much C and H were in the original sample. If…

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Combustion and Chain-Branching Networks

Combustion is not one balanced arrow from fuel and oxygen to carbon dioxide and water. It is a large network of radical reactions with changing temperature. Chain carriers can…

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Combustion and the Carbon Cycle

Every carbon atom in your body has been somewhere else before: in the air, in a plant, perhaps in an ancient ocean or a lump of coal. Carbon is constantly recycled between living…

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Combustion and the Environment

Burning fuels heats our homes, powers most of our transport and generates much of our electricity. But the products of combustion do not simply disappear: they enter the…

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Combustion as an Exothermic Reaction

We burn fuels for one reason: to get energy out of them. A gas hob heats a pan, a car engine turns wheels and a power station makes electricity, all by combustion. But where does…

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Committor Analysis

A coordinate can produce a smooth free-energy barrier and still be poor at predicting reaction. Two configurations with the same bond distance may have different solvent…

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Common 2D NMR Artefacts

A 2D NMR contour map seems pictorially definite: one spot appears to connect two resonances. Yet a spot can be a true transfer, an expected diagonal signal, a second molecule at…

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Common Acids and Their Formulae

Chemistry laboratories use dozens of acids, but four turn up again and again: hydrochloric acid, sulfuric acid, nitric acid and ethanoic acid. Knowing their formulae is like…

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Common Bases and Their Formulae

If acids are defined by the hydrogen ions they release, bases are defined by what they do to those ions: they neutralise them. Bases come in several families — metal oxides…

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Common Coordination Geometries

Coordination number tells how many donor atoms surround a metal, while geometry tells where those donors sit in three-dimensional space. Common patterns are linear for two…

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