Hund's rules Definition and 13 Threads

Hello there, for the above question I have no issue finding the term symbols but I am a little unsure about employing Hund's rules to the electron configuration, particularly those referring to the energies based on the total angular momentum J. These state: - In a less than ##\frac12##-filled...

So as I can see from the literature there are two "methods" on how to apply Hund's rules to determine the ground state of an electron configuration. Method 1: One determines all possible states due to Pauli's principle (wave function must be totally antisymmetric) using angular momentum...

I can't find on any good source (such as a textbook) a precise specification about the cases when Hund's rules (especially Hund's third rule) for an electronic configuration of atom are valid (the rules help to select the lowest energy state of a configuration). As far as I understood: Hund’s...

Homework Statement Show that the ground states for the first three elements in the “neon configuration” (Z=11 to 18) are consistent with Hunds rules. Homework Equations From Hyperphysics, the rules are: 1. The term with maximum multiplicity lies lowest in energy 2. For a given multiplicity...

Hi, I have read that Hund's rules are valid for Atoms with low z. Because the third Hund's rule is build of Russell-Saunders coupling. Can I still use the first and second Hund's rule for heavy atoms and jj-coupling( for the third rule)? Or how can I know the groundstate for an atom with large...

Homework Statement Using Hund's rules, find the ground state L, S and J of the following atoms: (a) fluorine, (b) magnesium, and (c) titanium. Homework Equations J = L + S The Attempt at a Solution I'm having trouble understanding what L, S and J mean on a basic level. I read the textbook...

Can anyone explain the second rule, because the Wikipedia page is not very clear? Hund's zeroth rule - Ignore all inner shells and focus on the outermost shell. Hund's first rule - Put the electrons such that they maximize spin, ##s##. So far so good. Hund's second rule appears to be simply...

I have the solution for this problem but don't understand it. 1. Homework Statement Use Hund's rules to calculate the ground state of erbium with electron configuration [Xe]4f126s2 Homework Equations Hunds Rules: 1. Maximise S (within Pauli) 2. Maximise L (within Pauli) 3. Min J (for...

Homework Statement (a) The nitrogen atom has seven electrons. Write down the electronic configuration in the ground state, and the values of parity (Π), spin (S), orbital angular momentum (L), and total angular momentum (J) of the atom. (b) If an extra electron is attached to form the N–...

Homework Statement Calculate ground state of erbium [Xe] 4f^12 6s^2 The Attempt at a Solution so i know that the f orbital can hold 14 electrons and has 7 types of orbitals that is -3,-2,-1,0,1,2,3 So i constructed a table with axes of m_l (-3 to +3 above) and m_s. Then hunds rules...

Homework Statement Find the ground state of nitrogen in the form (2s+1)(L)(J), where s represents the total spin, L represents the total orbital angular momentum (s,p,d,f), and J represents the total angular momentum. Attempt at solution Well, the electron configuration is [He](2s)^2...

I would like to ask two questions about Hund's rules and L-S coupling: 1. Some textbooks state that when doing L-S coupling and applying Hund's rules, "The maximum values of S and L are subject to the condition that no two electrons may have the same pair of values for m(sub s) and m(sub l)...

I would like to ask two questions about Hund's rules and L-S coupling: 1. Some textbooks state that when doing L-S coupling and applying Hund's rules, "The maximum values of S and L are subject to the condition that no two electrons may have the same pair of values for m(sub s) and m(sub l)...