Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Modern Periodic Law states that the physical and chemical properties of the elements are periodic functions of their atomic numbers (). This shifted the basis of classification from atomic mass () to atomic number.
Henry Moseley demonstrated that the atomic number is a more fundamental property than atomic mass by plotting (square root of X-ray frequency) against , resulting in a straight line.
The Long Form of the Periodic Table is divided into four main blocks based on the orbital being filled: -block, -block, -block, and -block.
The -block elements (Groups and ) and -block elements (Groups to ) are collectively known as Representative Elements or Main Group Elements.
The -block elements (Groups to ) are known as Transition Elements because they represent a transition in properties between the highly electropositive -block and highly electronegative -block.
The -block elements (Lanthanoids and Actinoids) are known as Inner Transition Elements and are placed separately at the bottom of the table.
Periodicity refers to the recurrence of similar properties after regular intervals. This is due to the recurrence of similar outer electronic configurations.
📐Formulae
(where is the frequency of X-rays, is the atomic number, and are constants)
(Effective Nuclear Charge, where is the screening or shielding constant)
(General configuration of -block elements)
(General configuration of -block elements)
(General configuration of -block elements)
(General configuration of -block elements)
💡Examples
Problem 1:
Determine the position (period and group) of an element with atomic number in the Modern Periodic Table.
Solution:
The electronic configuration of (Chromium) is . Period: (since the highest principal quantum number is ). Group: (calculated as sum of and electrons: ). Block: -block.
Explanation:
In the Modern Periodic Table, the period is determined by the highest energy level () being filled. For -block elements, the group number is the sum of electrons in the and subshells.
Problem 2:
Identify which of the following has the largest atomic radius: (), (), or ().
Solution:
has the largest atomic radius.
Explanation:
All three elements belong to the period. Across a period from left to right, the atomic number and effective nuclear charge () increase while the number of shells remains constant. This results in a stronger pull on the electrons towards the nucleus, causing the atomic radius to decrease. Thus, (the leftmost element) is the largest.