Question

Please answer correctly P.CHEM 2 worksheet and show detailed solution.

Write the Slater determinant for the ground state of the boron atom. Hints: Remember the normalization constant is (N!) 2. Boron has five electrons, so you should have a 5 by 5 determinant. You can use the ls, 2s, 2px, 2py, and 2pz orbitals. (you will not use all of them),

Answer 1

Slaler Determinant → Desene An N electron atom contains N occupied spinorbiałals, which can be designated 07 06 An According to Pauli's exclusion principle, no two of these Spin orbitals can be identical. Also, every electron should bé equally associated with every spin orbital. - A very neat mathemancal rep. of the se proper biles is a slater determinant Boron has 5 es, so it will have 51 = 120 tems. The é configu, is Islas ap!

4(B) - | 13(1)ą(1) 186)B()) 250)all) 25()B(1) 2PM&1) | is(@)&(a) 15(2) pla) 2 (a) ala) 2s(a)p(a) 2pla)&@) 15(3)&(3) 1s(3)p(3) 25 (3)2(3) 2s(3) 3(3) 2p(3)&(3) Is(1)x() SA) ( ) 2 (1) 4 ) 25/4) (4) 2P + (-) 18(5)&66) 1s(5) pls) 29 (5) (5) 25(5)$(5) 2p(5) & (5)

Alpha represent upward spin. Beta represent downward spin.

vizo 18(1) IS (2) 18 (3) IS (4) I is (5) 15(1) 25W 25W 2p (1) T5 (2) 25(2) 25(2) 2p (2) Ts (3) 28 (3). Es (3) 2p (3) T5 (H) 25(4) ZS (4) 2p (4) 18 (5) 28 (5) 25 (5) 2015)