Show that the Li atom wavefunction given by the following Slater Determinant is antisym- metric (i.e. the wavefunction changes sign) with respect to interchange of electrons at r₁ and r3. 1 V(r1, r2, r3) == √6 Visa (ri) isẞ(r1) Visa (r2) Visẞ(r2) 2sa (r2) Visa (3) 1sẞ(r3) 42,α(3) 2sa (1) Hint: Just expand out the determinant (see Math Chapter F for help), and then see what hap- pens if you swap the labels r₁ and r3. Note: It's antisymmetric with respect to interchange of any two electrons, and we just picked electrons 1 and 3 as an example.

Show that the Li atom wavefunction given by the following Slater Determinant is antisym- metric (i.e. the wavefunction changes sign) with respect to interchange of electrons at r₁ and r3. 1 V(r1, r2, r3) == √6 Visa (ri) isẞ(r1) Visa (r2) Visẞ(r2) 2sa (r2) Visa (3) 1sẞ(r3) 42,α(3) 2sa (1) Hint: Just expand out the determinant (see Math Chapter F for help), and then see what hap- pens if you swap the labels r₁ and r3. Note: It's antisymmetric with respect to interchange of any two electrons, and we just picked electrons 1 and 3 as an example.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter12: Atoms And Molecules

Section: Chapter Questions

Problem 12.17E: If 1 and 2 are the individual wavefunctions for electron 1 and electron 2, identify each overall...

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