Concept explainers
The Stark effect is the change in energy of a system due to the presence of an electric field (discovered by German physicist Johannes Stark in 1913). Consider the hydrogen atom. Its normally spherical
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Physical Chemistry
- What are the degeneracies of the H atom wavefunctions when spin is accounted for? Give a general formula.arrow_forwardTo which orbitals may electrons in a 3p orbital make spectroscopic transitions in a hydrogenic atom?arrow_forwardWhat is the orbital angular momentum (as multiples of ħ) of an electron in the orbitals (i) 4d, (ii) 2p, (iii) 3p? Give the numbers of angular and radial nodes in each case.arrow_forward
- Explain the origin of the spin–orbit coupling in atoms and discuss how it gives rise to different angular momentum coupling schemes.arrow_forwardThe ionization potential of the hydrogen atom is 13.6V. Calculate:(a.) The speed of an electron which could just ionize the hydrogen atom,(b.) The minimum wavelength which the hydrogen atom can emit.arrow_forwardWrite the radial part of the wavefunction for the following orbitals: 2s, 3px and 3dyz of the Li2+ ion.arrow_forward
- The wavefunction of one of the d orbitals is proportional to cos θ sin θ cos ϕ. At what angles does it have nodal planes?arrow_forwardExplain the significance of (a) a boundary surface and (b) the radial distribution function for hydrogenic orbitals.arrow_forwardSketch the following orbitals (including the x, y, andz axes): 1s, 2px, 3dxy, 3dz2.arrow_forward
- What are the allowed total angular momentum quantum numbers of a composite system in which j1 = 5 and j2 = 3?arrow_forwardWrite down the expression for the radial distribution function of a 2p electron in a hydrogenic atom of atomic number Z and identify the radius at which the electron is most likely to be found.arrow_forwardWhich of the following transitions between terms are allowed in the electronic emission spectrum of a many-electron atom: (i) 3D2 → 3P1, (ii) 3P2 → 1S0, (iii) 3F4 → 3D3?arrow_forward
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