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For ortho-hydrogen. the nuclear wave function and the rotational quantum number, respectively, are
- a)antisymmetric and even
- b)symmetric and odd
- c)symmetric and even
- d)antisymmetric and odd
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
For ortho-hydrogen. the nuclear wave function and the rotational quant...
For ortho-hydrogen. the nuclear wave function and the rotational quantum number, respectively, are
symmetric and oddMost Upvoted Answer
For ortho-hydrogen. the nuclear wave function and the rotational quant...
Explanation:
Nuclear wave function:
- The nuclear wave function describes the behavior of the nucleus of an atom.
- For ortho-hydrogen, the nuclear wave function is symmetric because the two hydrogen atoms are in a parallel spin configuration, which means that their nuclear spins are aligned.
- Thus, the nuclear wave function is symmetric under exchange of the two hydrogen atoms.
Rotational quantum number:
- The rotational quantum number describes the quantized angular momentum of a rotating molecule.
- For a diatomic molecule like ortho-hydrogen, the rotational quantum number can be either even or odd.
- If the rotational quantum number is even, the molecule is said to have a symmetric rotational wave function.
- If the rotational quantum number is odd, the molecule is said to have an antisymmetric rotational wave function.
- For ortho-hydrogen, the rotational quantum number is odd because the two hydrogen atoms are in a parallel spin configuration.
- This means that the wave function of the rotating molecule changes sign under exchange of the two hydrogen atoms.
- Thus, the rotational wave function is antisymmetric.
Conclusion:
- The nuclear wave function of ortho-hydrogen is symmetric and the rotational wave function is antisymmetric.
- Therefore, the correct answer is option B: symmetric and odd.
Nuclear wave function:
- The nuclear wave function describes the behavior of the nucleus of an atom.
- For ortho-hydrogen, the nuclear wave function is symmetric because the two hydrogen atoms are in a parallel spin configuration, which means that their nuclear spins are aligned.
- Thus, the nuclear wave function is symmetric under exchange of the two hydrogen atoms.
Rotational quantum number:
- The rotational quantum number describes the quantized angular momentum of a rotating molecule.
- For a diatomic molecule like ortho-hydrogen, the rotational quantum number can be either even or odd.
- If the rotational quantum number is even, the molecule is said to have a symmetric rotational wave function.
- If the rotational quantum number is odd, the molecule is said to have an antisymmetric rotational wave function.
- For ortho-hydrogen, the rotational quantum number is odd because the two hydrogen atoms are in a parallel spin configuration.
- This means that the wave function of the rotating molecule changes sign under exchange of the two hydrogen atoms.
- Thus, the rotational wave function is antisymmetric.
Conclusion:
- The nuclear wave function of ortho-hydrogen is symmetric and the rotational wave function is antisymmetric.
- Therefore, the correct answer is option B: symmetric and odd.
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