Recent content by abdul-pablo

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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    I thought that nuetron does not contribute to magnetic moment due to lack of charge, not spin. I did not know the formula for magnetic moment of nucleons. I guess that it may be somehow similar to the previous formulas, where the elementary charge of an electron apears. I suppose that it is...
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    Contribution of electrons to the magnetic moment of an atom is found. Now, have a look at the magnetic moment of nucleus. Proton has the spin magnetic moment u = g_S * (e *s) / (2*m_p), where g_S=1, e is charge, s=1/2 spin, and m_p is mass of proton. Nuetron does not contribute any magnetic...
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    I have noticed a mistake I made in the previous post when descibring the quantum numbers of V. They should be: 1) n=3 l=2 ml=0 s=1/2 2) n=3 l=2 ml=1 s=1/2 3) n=3 l=2 ml=-1 s=1/2 Therefore L=1+0-1=0 and S= 3 * 1/2 = 3/2 Following formulas you've provided J=S= 3/2 Now I should calculate g_J...
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    And for subshell excatly half-filled?
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    So why there is J=L-S instead of J=L+S=1+1/2=3/2? An the other question why it is assumed that electrons firstly have spin 1/2 and then -1/2. I mean that if we take the absolute value of total spin of electrons it does not matter on which 'side' (- or +) they really are. I guess that L is not...
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    I understand that the same situation is in case of 5B, where there is also only one electron on the last subshell 2p. Therefore Na and B has the same electronic contribution to magnetic moment. Let's leave now the calculation of magnetic moment of nucleus and take care of contribution of...
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    OK. Let's take a 23Na atom. Its electronic configuration is 1s<sup>2</sup>2s<sup>2</sup>2p<sup>6</sup>3s<sup>1</sup>. We can omit talking about electrons from first and second shell as their total contribution to magnetic moment is 0. The only electron we consider now is that on the 3s...
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    What Is the Bandwidth and Wave Vector Solutions for a BCC Tight Binding Model?

    So the maximum is Emax = const + 8t when the multiplication of cos functions gives -1 and Emin = const -8t as the multiplication of cos functions gives 1. It implies that W = 8t - (-8t) = 16t. Now I should find kx,ky and kz fow which that cos functions multiplications results in 1 and -1. I have...
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    What Is the Bandwidth and Wave Vector Solutions for a BCC Tight Binding Model?

    According to tight binding moment, for BCC crystalographic structures (such as Fe), energy E depends on wave vector kx, ky, kz: E(x) = const - 8t cos(kx * a/2)*cos(ky * a/2)*cos(kz * a/2), where t>0 is the model parameter. What is the bandwidth W in terms of parameter t? Can you find kx, kz, and...
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    Calculating Magnetic Moments of Atoms: What Data is Needed?

    We can easily write down configuration of electrons in an atom of given element. The question is how can I calculate the magnetic moment of given atom knowing configuration of electrons in that atom? Or maybe some other data is needed? Especially I am interested in calculation of magnetic moment...