3.5 Flashcards

1
Q

who developed wave mechanics

A

schrodinger

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2
Q

what is the schrodinger equation usually used to calculate

A

the wavefunction (psi)

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3
Q

what symbol i used for wavefunction

A

psi (trident looking fella)

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4
Q

which section of the schrodinger equation is about potential energy

A

EPE psi

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5
Q

which section of the schrodinger equation is about total energy

A

E psi

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6
Q

which section of the cshrodinger equation is about kinetic energy

A

partial derivative section in the brackets

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7
Q

what do teh differentials in the shrodinger equation mean

A

they show changes to wavefunction in relation to distance from the nucleus for each of the three axis when the other two axis are constant

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8
Q

what molecules can the schrodinger equation itself solve for

A

two-body problems like hydrogen and helium ion ect.

atoms with a nucleus and one electron

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9
Q

who suggested how wavefunction can be a measurable property

A

Max Born in the born interpretation

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10
Q

what is the born interpretation

A

the square of the wavefunction is proportional to finding the electron in the small area - d tau

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11
Q

does the schrodinger equation treat electrons as waves or particles

A

waves

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12
Q

the solved schrodinger equation showing only certain energies are possible

A

En = hR/n^2

when R = me^4/8h^3 epsilon0^2

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13
Q

what is electron density

A

probability per unit volume of there being an electron

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14
Q

what do the symbols in the schrodinger equations mean

A
R is a constant
me is the mass of an electron
e is the charge of an electron
h is the planck constant
epsilon0 is the vacuum permmittivity, a constant
n is the principle quantum number
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15
Q

what are the three symbols for quantum numbers

A

n l ml

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16
Q

what are the possible values for l when n = 3

A

0 1 and 2

17
Q

what are the possible values of ml when l = 2

A

-2, -1, 0, 1, 2

18
Q

what does n = 3 l = 0 ml = 0 orbit mean

A

3s orbit

19
Q

how do you break down the spherical coordinates of psi

A

into just the radial part dependant on R and just the angular part dependant on theta and phi

20
Q

what information does the radial wavefunction contain

A

distance from the nucleus

21
Q

what information does the angular wavefunction contain

A

the shape of the orbit

22
Q

what does the radial wavefunction/radial distance plot look like for a 1s orbital

A

starts high then ends touching y axis

23
Q

what does the radial wavefunction/radial distance plot look like for a 2s orbital

A

starts high, crosses over y axis dips down a bit then touches y axis

24
Q

what does the radial wavefunction/radial distance plot look like for a 2p orbital

A

starts at 0,0 then rises up then down to almost touch y axis

25
Q

what does the radial wavefunction/radial distance plot look like for a 3s orbital

A

starts high then dips beow y axis then rises above it then touches y axis

26
Q

what does the radial wavefunction/radial distance plot look like for a 3p orbital

A

starts at 0,0 then rises then goes down to cross y axis then rises to touch the axis

27
Q

what does the radial wavefunction/radial distance plot look like for a 3d orbital

A

starts at 0,0 then rises then goes down to touch y axis

28
Q

how many nodes does an s orbital have

A

n-1

29
Q

how many nodes does an p orbital have

A

n-2 for r>0

30
Q

how many nodes does a d orbital have

A

n-3 for r>0

31
Q

how many nodes does a f orbital have

A

n-4 for r>0

32
Q

how to turn a radial wavefunction/radial distance graph into a probability of the likelihood of an electron

A

square the radial wavefunction

33
Q

what is the difference between a probability graph and a radial wavefunction graph

A

the probability graph makes positive all the negative values

34
Q

why use a radial distribution function instead of a probability graph

A

its more useful to consider the probability of an electron being some distance from the nucleus rather than in a specific area

35
Q

shape of 1s 2s and 3s orbitals

A

spherical 2s has one node and 3s has two nodes

36
Q

shape of px py and pz orbitals

A

an hourglass with a node in the middle facing each of the axis

37
Q

shape of the hydrgen 3d orbitals

A

dxy dyz dxz and dx^2-y^2 like a four leaf clover with nodal planes between the leaves
dz^2 is and hourglass with a ring around it with nodal cones around the top and bottom of the hourglass