Chemistry
GATE CY concept:character-tables PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:character-tables
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–2 of 2. Imported answers require independent review unless marked reviewed.
Question 15
Open questionCYMCQ1 markNeeds review
The character table for a pyramidal AB₃ molecule of C₃ᵥ point group is given below:
C₃ᵥ | E | 2C₃ | 3σᵥ |
A₁ | 1 | 1 | 1 | z | x² + y², z²
A₂ | 1 | 1 | −1 | Rz |
E | 2 | −1 | 0 | (x,y) (Rx,Ry) | (x²−y², xy) (xz, yz)
The reducible representation of pyramidal AB₃ is
C₃ᵥ | E | 2C₃ | 3σᵥ
Γ | 12 | 0 | 2
The CORRECT option representing all the normal Raman active modes of pyramidal AB₃ is:
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionCYNAT2 marksNeeds review
Character table of point group D₈ is given below.
D₈ | E | 2C₈ | 2C₄ | 2C₈³ | C₂ | 4C₂′ | 4C₂″ |
|---|---|---|---|---|---|---|---|
A₁ | a | 1 | 1 | 1 | 1 | 1 | 1 |
A₂ | b | 1 | 1 | 1 | 1 | h | i |
B₁ | c | −1 | 1 | −1 | 1 | 1 | j |
B₂ | d | −1 | 1 | −1 | 1 | −1 | 1 |
E₁ | e | √2 | 0 | −√2 | −2 | 0 | 0 |
E₂ | f | 0 | −2 | 0 | k | 0 | 0 |
E₃ | g | −√2 | 0 | √2 | −2 | 0 | 0 |
Value of (a + b + c + d + e + f + g + h + i + j + k) is equal to ________
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer