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Anti-bonding molecule orbital is formed ...

Anti-bonding molecule orbital is formed by

A

Addition of wave functions of atomic orbitals

B

Substraction of wave functions of atomic orbitals

C

Multiplication of wave functions of atomic orbitals

D

Fiunding the arthemetic mean

Text Solution

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The correct Answer is:
To answer the question "Anti-bonding molecular orbital is formed by," we can break down the explanation into clear steps: ### Step-by-Step Solution: 1. **Understanding Atomic Orbitals**: - Atomic orbitals are mathematical functions that describe the wave-like behavior of electrons in atoms. Each orbital has a specific shape and energy level. 2. **Wave Functions**: - In quantum mechanics, electrons are described by wave functions (ψ). These wave functions provide a probability distribution of where an electron might be located. 3. **Formation of Molecular Orbitals**: - When two atomic orbitals combine, they can form molecular orbitals. This combination can be constructive or destructive, depending on the phase of the wave functions. 4. **Constructive Interference**: - If the wave functions of the atomic orbitals are in phase (both positive or both negative), they combine constructively. This leads to the formation of a bonding molecular orbital, represented by the addition of the wave functions: ψ_bonding = ψ1 + ψ2. 5. **Destructive Interference**: - If the wave functions are out of phase (one positive and one negative), they combine destructively. This leads to the formation of an anti-bonding molecular orbital, represented by the subtraction of the wave functions: ψ_anti-bonding = ψ1 - ψ2. 6. **Nodal Plane**: - In the case of anti-bonding molecular orbitals, the destructive interference creates a nodal plane where the probability of finding an electron is zero. This indicates that there is no bond formed between the two atoms. 7. **Conclusion**: - Therefore, an anti-bonding molecular orbital is formed by the subtraction of wave functions of atomic orbitals. ### Final Answer: Anti-bonding molecular orbitals are formed by the subtraction of wave functions of atomic orbitals. ---
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Draw a diagram showing the formation of bonding and anti - bonding molecular orbitals by LCAO in homonuclear hydrogen molecule.

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Knowledge Check

  • According to MOT (Molecular Orbital Theory), the molecular orbitals are formed by mixing of atomic orbitals through LCAO (linear combination of atomic orbitals). The correct statement(s) about molecular orbitals is/are Statement (A) : Bonding molecular orbitals are formed by addition of wave-functions of atomic orbitals of same phase Statement (B) : Anti-bonding molecular orbitals are formed by subtraction of wave-functions of atomic orbitals of same phase Statement (C) : Non-bonding molecular orbitals do not take part in bond formation because they belong to inner shells Statement (D) : Anti-bonding molecular orbitals provide stability to molecules while bonding molecular orbitals make the molecules unstable.

    A
    Statement a, d
    B
    Statement a, b, c
    C
    Statement a, b, d
    D
    Statement a, b

  • A bonding molecule orbital is produced by

    A
    Destuctive interference of wave functions
    B
    Constructive interference of wave functions
    C
    Pairing of electrons with opposite spin
    D
    Combination of +ve and -ve functions

  • Assertion(A) - Fluorine molecule has bond order one. Reason(R)-The number of electrons in antibonding molecular orbital is two less than that of bonding molecular orbitals.

    A
    Both A and R true and R is the correct explanation of A
    B
    Both A and R true and R is not a correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

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