electronic structure theory Flashcards

1
Q

wavefunction depends on coordiantes of all

A

electrons and all nuclei

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2
Q

wlwctrons are very light compared to nuclie which means they

A

move much faster

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3
Q

born-oppenheimer approximaiton

A

nuclei as fixed in space and electrons can then be viewed as moving within the fixed nuclear framework

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4
Q

withon the born-oppenheimer approximation the nuclei can be regarded as moving on the

A

potenial energy surface

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5
Q

nuclear wavefunction depends on ell the

A

nucleir and describes nuclear motion

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6
Q

electronic wavefunction depends on all the

A

electrons and E_e is the elcetronic energu

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7
Q

as nuclear coordinates vary the …. and … will change

A

electronic wavefunction and electronic energy

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8
Q

total wavefunction is

A

nuclear wavefunciton times electronic wavefunction

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9
Q

spin orbital is a combination of

A

spatial orbitals and spin functions

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10
Q

spin orbital tells us the

A

postion and spin of an electron

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11
Q

electronic wavefunction depends on the

A

space-spin coordinates of all electrons

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12
Q

From the pauli principle it must be

A

antisymmetric with respect to exchange of electrons

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13
Q

the electronic wavefunction must change sign if we interchange the

A

space-spin coordinates of any two electrons

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14
Q

antisymmetric wavefunctions can be easily represented using

A

determinants

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15
Q

restriced hartree-fock theory

A

approximating electronic wavefunction by a single slater determinant and restrict spatial orbitals occupied by alpha electrons to be the same as the spatial orbitals occupied by the beta electrons

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16
Q

total electronic energy is the expectation value of the

A

lectronic hamiltonian

17
Q

V_nn is the

A

nuclear - nuclear repulsion energy

18
Q

exchange energy is an energy

A

lowering that arises from the Pauli requirment that the electronic wavefunction be antisymmetric

19
Q

2 electrons of like spin cannot be at the same point in space so there is a

A

reduction in electron repulsion and energy lowering is the exchange energy

20
Q

the exchange energy is an energy lowering (reduction in repulsion) that arises from the

A

Pauli requirement that the electronic wavefunction by antisymmetric

21
Q

exclusion principle 2 electrons of same spin

A

cannot be at same point in space

22
Q

like-spin electrons avoid one another which means there is a reduction in

A

electron repulsion

23
Q

variartion principle state the best orbitals are ones that

A

minimise energy

24
Q

sum of orbital energies does not equal the

A

total electronic energy

25
Q

the ionisation potential to remove an electron from orbital whilst leaving all other orbitals unchanged is the negative of the

A

ith Hartree-Fock orbital energy

26
Q

Kartree fock analysis ignores

A

relaxation of the orbitlas

27
Q

in reality orbital will adjust and the energy of the cation will

A

reduce

28
Q

The true Hart-ree - fock ionsiation potential tend to be too small due to

A

neglect of electron correlation