Question

please answer correctly P.CHEM 2 worksheet and show detailed solution. Thank you

Draw a simple diagram of the beryllium atom. Label the distances and electrons. Using this picture, write down the complete Hamiltonian operator for this system. Identify which terms involve the kinetic energy and which the potential energy. Of the potential energy terms, indicate which are attractive and which repulsive (by sign positive ones indicate repulsive).

The Question: Draw a simple diagram of the beryllium atom. label the distances and electrons. Using the drawed picture, write down the complete Hamiltonian operator for this system. Identify which terms involve the kinetic energy and which is the potential energy. Of the potential energy terms, indicate which are attractive and which are repulsive ( by sign positive ones indicate repulsive).

Answer 1

de m MA 1 412 • A nucleus of Beryllium XI → election (1) 4 izu x2 - election (2) x3 - electron (3) X4 election (4) R, IR 2, Rz, Ry distance of elections 1, 2, 3, 4 respectively from nudeus A. Mini 2.31 May, surnais, rau distance between election. Hamittonian is sum of both kinetic & Portenstial energy ternis KE = - +2 TA - 72 (tuh + her + J + 1). where Me mass of nucleus me a mass of election, PE= - zez + unto - + + where - 2 ² 1 + 2 + 1 2 + 1 ) is attractive team for electuon to nucleus ze I things how them to the thing is sepulvine. term for the repulsion between deation. unto 2= atomic number

Blo 2M zme complete thamiltonian operation is Finetic & Potential - - t² vr - t² luge + + 3y i + *** Hotel in According to B.O. approximation , the nucleus is massive thane election so its kinetic term can be ignored. so, * = - th( 061) + V105 + 7) + Vent) * ) ** ame un to