4-3 Modern Atomic Theory

assume you want to find the sum of 1²+2²+3²…n², what is the formula in terms of n?

n(n+1)(2n+1)/6

who proposed the quantum mechanical model?

Erwin Schrodinger

what year did Erwin Schrodinger propose the quantum mechanical model?

1926

what is main difference between Bohr and quantum mechanical model?

Bohr is defined paths, while quantum mechanical model is probablistic path

what property does electron have?

wave-particle duality

what does the Heisenberg uncertainty principle state?

determining both the velocity and position of an object is impossible

what is the Schrodinger wave equation?

probablistic model of electron position

what does the Pauly exclusion principle state?

2 electrons with same spin state cannot occupy the same orbital

what does Hund’s rule state?

fill orbitals with upspins first before filling with downspins

what is the n quantum number?

number of main energy level

in terms of n (the main energy level), how many orbitals can exist in that energy level?

n^2

what does i stand for in quantum numbers?

angular momentum quantum number

write the corresponding angular momentum quantum numbers for subshells s, p, d, f

0, 1, 2, 3

in terms of the quantum number i, what is the maximum amount of orbitals present in that i?

2i+1

what is m significance (quantum number)?

orientation of the orbital

list the magnetic quantum number for all orbitals in subshell d in order

-2, -1, 0, 1, 2

spin quantum number is either…

+1/2 or -1/2

higher energy level can hold more electrons because..

it can hold more suborbitals