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Periodic Properties of the Elements: Structure, Trends, and Reactivity

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Development of the Periodic Table

Historical Evolution

The periodic table is a systematic arrangement of elements based on their atomic number and properties. Dmitri Mendeleev and Lothar Meyer independently proposed grouping elements by their chemical properties, while Henry Moseley later established the concept of atomic numbers, which is the number of protons in the nucleus.

  • Mendeleev's Predictions: Mendeleev predicted the existence and properties of undiscovered elements, such as germanium (eka-silicon), based on gaps in his periodic table.

  • Periodic Law: The properties of elements are periodic functions of their atomic numbers.

Modern periodic table with historical element discoveryMendeleev's periodic law table with atomic weightsPeriodic table highlighting metalloids

Predictions and Observations

Mendeleev's predictions for eka-silicon (germanium) were remarkably accurate, demonstrating the power of the periodic law.

Property

Mendeleev's Prediction (Eka-Silicon)

Observed (Germanium)

Atomic weight

72

72.59

Density (g/cm3)

5.5

5.35

Specific heat (J/g·K)

0.305

0.309

Melting point (°C)

High

947

Color

Dark gray

Grayish white

Formula of oxide

XO2

GeO2

Density of oxide (g/cm3)

4.7

4.70

Formula of chloride

XCl4

GeCl4

Boiling point of chloride (°C)

A little under 100

84

Table comparing Mendeleev's predictions and observed properties of germanium

Effective Nuclear Charge (Zeff)

Definition and Calculation

In multi-electron atoms, electrons are attracted to the nucleus and repelled by other electrons. The effective nuclear charge (Zeff) is the net positive charge experienced by an electron, accounting for both attraction to the nucleus and repulsion by other electrons.

  • Formula: where Z is the atomic number and S is the screening constant (number of core electrons).

  • Valence electrons do not screen as efficiently as core electrons.

Probability distribution of 1s, 2s, and 2p electronsSodium atom showing nucleus, core electrons, and valence electronLightbulb analogy for screening effect

Trends in Effective Nuclear Charge

Zeff increases across a period due to increasing nuclear charge and relatively constant shielding. It increases slightly down a group.

  • Slater's Rules: Used for more accurate calculation of S, considering electron configuration and orbital types.

Graph of Zeff vs atomic number

Atomic and Ionic Radii

Definitions

The nonbonding atomic radius (van der Waals radius) is half the shortest distance between nuclei during atomic collisions. The bonding atomic radius is half the distance between covalently bonded nuclei.

Bonding and nonbonding atomic radius diagram

Periodic Trends in Atomic Radii

Atomic radius decreases from left to right across a period due to increasing Zeff, and increases from top to bottom of a group due to increasing principal quantum number (n).

Periodic table showing atomic radii

Sizes of Ions

Ionic size depends on nuclear charge, number of electrons, and electron orbitals. Cations are smaller than their parent atoms, while anions are larger.

  • Isoelectronic Series: Ions with the same number of electrons; size decreases with increasing nuclear charge.

Comparison of atomic and ionic radii for various ionsTable of isoelectronic ions and their radii

Ionization Energy

Definition and Trends

Ionization energy is the energy required to remove an electron from a gaseous atom or ion. The first ionization energy (I1) is for removing the first electron, the second (I2) for the second, and so on.

  • I1 decreases down a group (electrons farther from nucleus).

  • I1 increases across a period (higher Zeff).

  • Large jumps in ionization energy occur when removing core electrons.

Table of successive ionization energies for sodium through argonPeriodic table showing ionization energiesGraph of first ionization energy vs atomic number

Irregularities in Ionization Energy

Discontinuities occur between Groups IIA and IIIA (removal from p-orbital vs s-orbital) and Groups VA and VIA (removal from doubly occupied orbital).

Electron configuration diagrams for oxygen and nitrogen

Electron Configurations of Ions

Formation of Cations and Anions

To form cations, electrons are removed from the subshell with the highest principal quantum number (n). For transition metals, remove ns electrons before (n-1)d electrons.

  • Example:

Electron configuration diagram for P and P3+Electron configuration diagram for Fe, Fe2+, and Fe3+

Electron Affinity

Definition and Trends

Electron affinity is the energy change when a neutral atom attracts an electron to become a negative ion. It generally becomes more exothermic across a period, with exceptions for Groups 2A, 5A, and 8A due to electron configurations.

Periodic table showing electron affinity values

Metals, Nonmetals, and Metalloids

Classification and Properties

Elements are classified as metals, nonmetals, or metalloids based on their physical and chemical properties.

  • Metals: Shiny, malleable, good conductors, tend to form cations, basic oxides.

  • Nonmetals: Dull, brittle, poor conductors, tend to form anions, acidic oxides.

  • Metalloids: Intermediate properties; e.g., silicon is shiny but brittle and a semiconductor.

Periodic table showing metallic character

Metals

Nonmetals

Shiny luster, various colors

No luster, various colors

Malleable and ductile

Brittle, some hard, some soft

Good conductors

Poor conductors

Basic oxides

Acidic oxides

Form cations

Form anions

Table of characteristic properties of metals and nonmetals

Group Trends and Reactivity

Alkali and Alkaline Earth Metals

Group 1A (alkali metals) and Group 2A (alkaline earth metals) show distinct trends in density, melting point, ionization energy, and reactivity.

  • Alkali metals are soft, low-density, highly reactive, and form cations.

  • Alkaline earth metals are harder, denser, and less reactive than alkali metals.

Chalcogens, Halogens, and Noble Gases

Group 6A (chalcogens), 7A (halogens), and 8A (noble gases) display unique chemical reactivity and physical properties based on their electron configurations and periodic trends.

  • Chalcogens: Oxygen, sulfur, selenium (nonmetals); tellurium (metalloid); polonium (metal).

  • Halogens: Highly reactive, form salts, most negative electron affinity.

  • Noble gases: Inert, full valence shell.

Periodic table showing common ionic chargesNickel oxide reaction with water and nitric acidSamples of sulfur, selenium, and tellurium

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