task 1

[DMauricio34]

For the first task, the g-factor is found using 𝑔=𝜇/𝐼. For the ground state of 111𝐶𝑑 , with 𝜇=−0.5940𝜇_𝑁 and 𝐼=1/2, the g-factor is 𝑔=−1.188g=−1.188. For the 245 keV level, where 𝜇=−0.766μ_N and 𝐼=5/2 , the g-factor is 𝑔=−306.

For the second task, the g-factor of a free electron is found using 𝑔=𝜇ℎ/𝜇𝐵 𝐼. Since 𝜇=1𝜇𝐵 and 𝐼=1/2 , plugging these in cancels out ℎ, leaving 𝑔=2.

For the third task, the magnetic moment of a neutron is given by 𝜇=𝑔𝐼𝜇_𝑁. With 𝑔=−3.826 and 𝐼=1/2 , the moment is 𝜇=−1.913 𝜇_N

[Author]

Posts