bhimberg
- 17
- 0
\chi_m = - \frac{Z e^2 n \mu_0}{4 m} <p^2>
My understanding is that n = N/V, where the volume is the volume of a unit cell containing Z electrons (in this case n = \frac{1}{a^3}). The m in the denominator is related to the larmor frequency and, for a hydrogen atom, should be the mass of a proton.
<p^2> is an expectation value of the wave function of the hydrogen atom. While this is certainly a homework question, I'm asking for general guidance about the equation. Am I correct in assuming m = m_p is the mass of a proton? My numbers keep coming out many orders of magnitude greater so I must be missing something fundamental.
My understanding is that n = N/V, where the volume is the volume of a unit cell containing Z electrons (in this case n = \frac{1}{a^3}). The m in the denominator is related to the larmor frequency and, for a hydrogen atom, should be the mass of a proton.
<p^2> is an expectation value of the wave function of the hydrogen atom. While this is certainly a homework question, I'm asking for general guidance about the equation. Am I correct in assuming m = m_p is the mass of a proton? My numbers keep coming out many orders of magnitude greater so I must be missing something fundamental.