Use the Slater determinant formalism to write the spin-orbital
for the ground state of He atom....
Use the Slater determinant formalism to write the spin-orbital
for the ground state of He atom. Prove that the wave function that
is obtained for this satisfies the anti-symmetric requirements for
fermions.
A) Show that the Slater determinant wavefunction for the boron
atom in its ground state is antisymmetric.
(Please use one of the theorems on determinants).
B) State why this is an indistinguishable wavefunction.
write down the slater determinant For the ground state of Beryllium
(4 electrons )and indicate which states are allowed or not? Explain
on of the terms ? does the wave function that is given satisfy the
pauli exclusion principle ? Explain your reasons to
Write the electron configurations and orbital spin diagrams for the
neutral atom and the kon of the element having the atomic number
12. Based on this information explain the valence number of
electrons in the elements responsible for the ion's charge.
1 a). Write down the Slater determinant for Lithium. Expand the
determinant into linear combination of products.
b). Write down the Slater determinant for Beryllium. Expand the
determinant into linear combination of products.
11) The wave function of a many-electron closed-shell atom can
be expressed as a Slater determinant. A useful property of
determinants is that interchanging any two rows or columns changes
their sign and therefore that if any two rows or columns are
identical, then the determinant vanishes.
Use this property to show that (a) no two electrons can occupy
the same orbital with the same spin.
The electron configuration of a neutral atom in the ground state
is 1s22s22p63s2. Write
a possible set of quantum numbers for the fourth electron added to
the atom, and identify the element.
In this problem we will use a slater determinant to examine a
proposed electronic configuration for Lithium 1s3
a) Draw an orbital diagram showing two possible ways to achieve
this configuration
b)using the diagram, write the Slater Determinant for this
electronic configuration