Question
Using the vector method, derive an expression for the angle between two bond dipoles. A hypothetical bent molecule has two identical bond dipole moments, each of magnitude 2.0 D and a resultant molecular dipole moment of 3.0 D. Calculate the angle between the two bonds.
Answer :
Word Count : 292
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For a bent molecule containing two identical bond dipoles, the molecular dipole moment can be determined using the vector addition of the two bond dipole moments. A bond dipole is a vector quantity because it has both magnitude and direction. Let the two identical bond dipole moments be represented by vectors (\vec{\mu}_1) and (\vec{\mu}_2), each having magnitude (\mu), and let the angle between the two bond directions be (\theta). The resultant molecular dipole moment (\vec{\mu}_{R}) is the vector sum of the two bond dipoles: [ \vec{\mu}_{R}=\vec{\mu}_1+\vec{\mu}_2 ] Using
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