Chapter 8: Q24CQ (page 339)
The total-spin singlet state for two electrons has one spin up and one down, but one of the triplet states does. too. What is the difference?
Short Answer
The difference between singlet and triplet state,
Chapter 8: Q24CQ (page 339)
The total-spin singlet state for two electrons has one spin up and one down, but one of the triplet states does. too. What is the difference?
The difference between singlet and triplet state,
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Get started for freeIs intrinsic angular momentum "real" angular momentum? The famous Einstein-de Haas effect demonstrates it. Although it actually requires rather involved techniques and high precision, consider a simplified case. Suppose you have a cylinder in diameter hanging motionless from a thread connected at the very center of its circular top. A representative atom in the cylinder has atomic mass 60 and one electron free to respond to an external field. Initially, spin orientations are as likely to be up as down, but a strong magnetic field in the upward direction is suddenly applied, causing the magnetic moments of all free electrons to align with the field.
(a) Viewed from above, which way would the cylinder rotate?
(b) What would be the initial rotation rate?
Imagine two indistinguishable particles that share an attraction. All other things being equal, would you expect their multiparticle spatial state to be symmetric, ant symmetric, or neither? Explain.
Question: Show that the frequency at which an electronโs intrinsic magnetic dipole moment would process in a magnetic field is given by . Calculate the frequency for a field of 1.0 T.
Verify that the normalization constant given in Example 8.2is correct for both symmetric and antisymmetric states and is independent ofand ?
Question: A good electron thief needs a trap at low energy to entice its prey. A poor electron shepherd will have at least some of its flock dangling out at high energy, consider row 2 and 5 in the periodic table. Why should fluorine, in row 2, is less reactive than rubidium, in row 5?
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