Dipole Moment of Two Electrons

Thread starter zachzach
Start date Dec 1, 2010
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Dipole Dipole moment Electrons Moment

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The dipole moment of two electrons is zero because, despite their nonzero distance and equal charges, their contributions to the dipole moment cancel each other out. When the center of mass is used as the origin, the vector sum of their positions results in zero, leading to a net dipole moment of zero. This is due to the symmetry of the system, where the equal and opposite charges create a balance. Therefore, the dipole moment formula, which involves the sum of charge times position vectors, yields a total of zero. Understanding this concept is crucial in the study of electric dipoles and their properties.

Dec 1, 2010

zachzach

Why is the dipole moment of two electrons equal to zero?

<br /> <br /> \vec{d} = \sum{q_{i}\vec{r_{i}}}<br /> <br />

The distance between them is nonzero and they both have charges. It is not obvious to me why this sums to zero.

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Dec 1, 2010

Meir Achuz

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If their center of mass is taken as the origin, then Sum r_i=0.

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