Isotopic Notation
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Core Concept
Definition: Isotopic notation is a representation that specifies an isotope of an element by including its mass number (A) and atomic number (Z).
General Form: $^A_Z\text{X}$
A: Mass number (protons + neutrons).
Z: Atomic number (number of protons).
X: Chemical symbol of the element.
Practice Tips
Isotopic notation specifies an element’s identity, mass number, and atomic number.
The number of neutrons is calculated by subtracting Z (protons) from A (mass number).
Isotopes of the same element have the same Z but different A due to varying neutron counts.
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Related Terms
Isotopes are atoms of the same element that have the same number of protons but differ in the number of neutrons. Since the number of neutrons can vary, isotopes have different mass numbers.
Key Components
Mass Number (A):
Total number of protons and neutrons in the nucleus.
Example: For $^{14}_6\text{C}$, A = 14.
Atomic Number (Z):
Number of protons in the nucleus, which defines the element.
Example: For $^{14}_6\text{C}$, Z= 6 (carbon).
Neutrons:
Calculated as Neutrons = A − Z
Example: For $^{14}_6\text{C}$, neutrons = 14 − 6 = 8
Charge (Optional):
Represented as a superscript to the right of the chemical symbol if the atom is an ion.
Example: $^{12}_6\text{C}^{2+}$ is a carbon ion with a +2 charge.
Isotopic Notation Systems
Hyphen Notation
Format: Element - Mass Number
Examples: Carbon-12, Uranium-235, Chlorine-37
Nuclear Notation
Format: $^{A}\text{X}$
Examples: $^{12}\text{C}$ , $^{235}\text{U}$ , $^{37}\text{Cl}$
Complete Notation
Format: $^{A}_{Z}\text{X}$.
Examples:
Worked Practice Examples
Example 1: $^{14}\text{C}$
Step 1: C = Carbon = Element 6 → 6 protons
Step 2: Mass number = 14
Step 3: Neutrons = 14 - 6 = 8 neutrons
Step 4: Neutral atom → 6 electrons
Answer: 6 protons, 8 neutrons, 6 electrons
Example 2: Uranium-238
Step 1: Atomic number given = 92 → 92 protons
Step 2: Mass number = 238
Step 3: Neutrons = 238 - 92 = 146 neutrons
Step 4: Neutral atom → 92 electrons
Answer: 92 protons, 146 neutrons, 92 electrons
Applications of Isotopic Notation
Isotope Identification:
Identifies different isotopes of the same element (e.g., $^{12}_6\text{C}$ vs. $^{14}_6\text{C}$).
Mass Spectrometry:
Isotopic notation is used in analyzing the composition of elements based on isotope abundance.
Radiocarbon Dating:
Carbon-14 ($^{14}_6\text{C}$) is used to date ancient biological materials.
Medical Applications:
Isotopes like $^{131}_{53}\text{I}$ (radioactive iodine) are used in medical imaging and treatment.