This document provides an overview of the quantum-mechanical model of the atom. It introduces key concepts like Bohr's atomic theory, quantum mechanics, electron configuration, and the uncertainty principle. The document explains that quantum mechanics describes the behavior of particles using quantum numbers and wave functions rather than definite orbits. It also discusses Schrodinger's wave function and how it provides a description of an electron's state using quantum numbers like principal, azimuthal, magnetic, and spin quantum numbers.

1. Quantum-Mechanical
Model of the Atom
Basic Concepts and Exercises

2. Quantum-Mechanical
Model of the Atom
Bohr's Atomic
Theory
Quantum
Mechanics
electron
configuration
describes
rules
filling order
Moeller
diagram
electrons placed
in orbits
uncertainty
wave-particle
duality
wave
functions
matter and
wave have
measures
introduce
behavior of particles can
be described by
quantum
numbers
energy
...
provide
solutions
about...
electrons
orbitals
types
rules
meet
can give solutions by
introducing
regions of probability to
find a given electron
are
based on
based
on
has to
meet
determine
graphically
specifies how
3-D
regions
Pauli's exclusion
Hundt's multiplicity
Aufbau

3. Heisenberg: Uncertainty
uncertainty principle
(Heisenberg)
complete information of
electrons (position and
velocity) cannot be known
path of electrons
cannot be specified
orbits ORBITALS
observation (measure)
affects the state of the
system
in observation process the
observer engages energetically
with the system
states
that
means
that
implies
that because
as a
consequence
instead
of
so, we should
talk about
2D paths of
electrons
3D regions of
probability to find an
electron

4. Schrödinger: Wave Function
Wave function
(Schrödinger)
description
of state of
systems
gives description
of state of
electrons
quantum numbers
needs to specify
principal azimutal magnetic spin
n
1, 2, 3, ...
l
0, 1, ... n-1
ml
-l, ..., 0, ..., l
are
describe orbitals
describe electrons
s
rotation on its own axis
size shape orientation
-1/2, +1/2

5. Resources