Molecular Orbital Diagram from Atomic Orbitals - Download Free 3D model by Michael Aristov (@Michael.Aristov)

3D animation of an atom with glowing orbits and a bright nucleus. Close-up of a futuristic atom model with spinning electron orbits. Dynamic visualization of an atom with shimmering electron paths

Assume that an electron is describing a circular orbit of radius a about a positively charged nucleus. (a) By selecting an appropriate current and area, show that the equivalent orbital dipole moment is e a^2ω / 2, where ω is the electron's angular velocity. (b) Show that the torque produced by a magnetic field parallel to the plane of the orbit is e a^2ω B / 2 .(c) By equating the Coulomb and centrifugal forces, show that ω is (4 πϵ0 me a^3 / e^2)^-1 / 2, where me is the electron mass. (d) Find

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