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Chapter 2: Atoms, Ions, and Elements: Foundations of Modern Atomic Theory

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Atoms, Ions, and Elements

Introduction

Chemistry is the study of matter, which is composed of atoms. Understanding the structure and behavior of atoms is fundamental to explaining chemical phenomena at both the macroscopic and microscopic levels.

  • Atom: The smallest unit of matter that retains the chemical identity of an element.

  • Element: A pure substance made of only one kind of atom.

  • Key Idea: The properties and behavior of matter are determined by the structure and interactions of atoms.

Fundamental Chemical Laws

Law of Conservation of Mass

The Law of Conservation of Mass states that matter can neither be created nor destroyed in a chemical reaction. The total mass of substances remains constant before and after a reaction.

  • Example: When calcium oxide reacts with carbon dioxide to form calcium carbonate, the total mass remains unchanged.

Antoine Lavoisier, pioneer of the Law of Conservation of MassDemonstration of mass conservation in a chemical reaction using a balance

Law of Multiple Proportions

When two elements combine to form more than one compound, the masses of one element that combine with a fixed mass of the other are in ratios of small whole numbers.

  • Example: Water (H2O) and hydrogen peroxide (H2O2) both contain hydrogen and oxygen, but in different ratios.

John Dalton, developer of atomic theoryMolecular models of water and hydrogen peroxide

Law of Definite Composition (Constant Proportion)

A given compound always contains the same elements in the same proportion by mass, regardless of its source or method of preparation.

  • Example: Water always contains hydrogen and oxygen in a mass ratio of 1:8.

Joseph Proust, proponent of the Law of Definite Proportion

Early Atomic Theory

Dalton’s Atomic Theory

John Dalton proposed a theory to explain the fundamental laws of matter:

  1. All matter consists of indivisible atoms.

  2. Atoms of a given element are identical in mass and properties.

  3. Compounds are formed by the combination of atoms of different elements in fixed ratios.

  4. Atoms are neither created nor destroyed in chemical reactions; they are simply rearranged.

Modern science has refined Dalton’s theory, but the core ideas remain foundational.

The Electron and the Atom

Discovery of the Electron

J. J. Thomson discovered the electron through experiments with cathode-ray tubes, showing that all matter contains negatively charged particles (electrons).

  • Electrons are present in all atoms.

  • Charge-to-mass ratio of the electron:

Forces between electric charges: attraction and repulsionCathode ray tube with magnetic fieldCathode ray tube with electric fieldCathode ray tube experimental setupPhotograph of a cathode ray tube in operationJ. J. Thomson, discoverer of the electron

Thomson’s Plum Pudding Model

Thomson proposed that atoms are spheres of positive charge with electrons embedded within them, like plums in a pudding.

Plum pudding model of the atomAlternative illustration of the plum pudding modelPlum pudding dessert, inspiration for the model's name

Millikan’s Oil Drop Experiment

Robert Millikan measured the charge of the electron using the oil drop experiment, determining the fundamental unit of electric charge ( C).

Millikan oil drop experiment apparatusTable of oil drop charges measured by Millikan

Rutherford’s Gold Foil Experiment and the Nuclear Model

Gold Foil Experiment

Ernest Rutherford’s experiment involved firing alpha particles at thin gold foil. Most particles passed through, but some were deflected at large angles, indicating a small, dense, positively charged nucleus.

  • Led to the nuclear model of the atom: a dense nucleus surrounded by electrons.

Alpha particle paths in the plum pudding modelAlpha particle paths in the nuclear modelDiagram of Rutherford's gold foil experimentModern depiction of the nuclear atomErnest Rutherford, discoverer of the nucleus

Subatomic Particles

Atoms are composed of protons, neutrons, and electrons:

Particle

Charge (C)

Relative charge

Mass (amu)

Relative mass

Location

Proton (p+)

+1.6022 × 10−19

+1

1.0073

1836

Nucleus

Neutron (n0)

0

0

1.0087

1839

Nucleus

Electron (e−)

−1.6022 × 10−19

−1

0.00055

1

Outside nucleus

Relative size and mass of the nucleus compared to the atomTable of subatomic particle propertiesPeriodic table highlighting atomic number, symbol, and mass

Atomic Number, Mass Number, and Isotopes

Atomic Number (Z)

The atomic number is the number of protons in the nucleus and defines the element. All atoms of a given element have the same atomic number.

Periodic table entry for potassium, showing atomic number and massDiagram showing atomic number, protons, electrons, and chargeDiagram of atomic symbol notationDiagram of chemical symbol and mass number notation

Isotopes

Isotopes are atoms of the same element with different numbers of neutrons. They have the same atomic number but different mass numbers.

  • Mass number (A): Total number of protons and neutrons in the nucleus ().

  • Isotopic notation: or X–A (e.g., or C-12).

Atomic Mass and Weighted Average

The atomic mass of an element is the weighted average of the masses of its naturally occurring isotopes.

Formula:

  • Example: Gallium has two isotopes: Ga-69 (68.9256 amu, 60.11%) and Ga-71 (70.9247 amu, 39.89%). The atomic mass is calculated as:

Gallium periodic table entryGallium periodic table entry (duplicate for emphasis)

The Periodic Table

Structure and Organization

The periodic table arranges elements by increasing atomic number. Elements with similar chemical properties are grouped in columns called families or groups.

  • Groups (families): Vertical columns (numbered 1–18).

  • Periods: Horizontal rows (numbered 1–7).

  • Main group elements: Groups 1, 2, and 13–18 (A groups).

  • Transition elements: Groups 3–12 (B groups).

  • Inner transition elements: Lanthanides and actinides (bottom rows).

Periodic table highlighting main group, transition, and inner transition elementsModern periodic table with color-coded element types

Metals, Nonmetals, and Metalloids

Elements are classified based on their physical and chemical properties:

  • Metals: Malleable, ductile, lustrous, good conductors, tend to form cations.

  • Nonmetals: Brittle, dull, poor conductors, tend to form anions.

  • Metalloids: Intermediate properties, semiconductors.

Periodic table highlighting metals, nonmetals, and metalloidsSilicon, a metalloid

Counting Atoms: The Mole Concept

Avogadro’s Number and the Mole

The mole is a counting unit in chemistry, defined as the amount of substance containing entities (Avogadro’s number).

  • 1 mole of atoms, molecules, or ions contains particles.

  • Example: 1 mol Cl2 = molecules of Cl2

Atomic Mass, Molar Mass, and Conversions

The atomic mass (amu) is the mass of a single atom, while the molar mass (g/mol) is the mass of one mole of atoms. These values allow conversion between mass, moles, and number of particles.

  • Conversion factors:

  • Example: How many copper atoms are in a penny weighing 3.10 g?

  • Given: 3.10 g Cu, Molar mass = 63.55 g/mol

  • Solution: mol Cu; atoms Cu

Summary Table: Key Atomic Concepts

Concept

Definition

Key Equation

Atomic Number (Z)

Number of protons in nucleus

Mass Number (A)

Number of protons + neutrons

Isotope

Atoms with same Z, different A

Mole

6.022 × 1023 particles

Atomic Mass

Weighted average of isotopes

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