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Understanding Atomic Structure & Periodic Properties: Electrons, Nucleus & Radiation, Apuntes de Química

An in-depth exploration of atomic structure, focusing on the periodic table, electronic configuration, and the relationship between electrons and electromagnetic radiation. Topics include atomic number, electronic structure, protons, neutrons, electrons, energy levels, and the electromagnetic radiation spectrum. The document also covers the fundamental equation of quantum theory and the dual behavior of subatomic particles.

Tipo: Apuntes

2014/2015

Subido el 28/04/2015

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CHAPTER 1: ATOMIC STRUCTURE AND
PERIODIC PROPERTIES
SUMMARY:
•Quantum mechanics description of the atom.
•Periodic table and electronic configuration.
•Periodic properties of elements.
GOALS:
Understanding of the atom and molecular structure on basis of the
Quantum Mechanics Theory.
Understanding and developing the ability to relate the properties of
elements as function of their position in the Periodic Table.
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CHAPTER 1: ATOMIC STRUCTURE AND

PERIODIC PROPERTIES

SUMMARY: •Quantum mechanics description of the atom.•Periodic table and electronic configuration.•Periodic properties of elements.

GOALS: 

Understanding of the atom and molecular structure on basis of the

Quantum Mechanics Theory. 

Understanding and developing the ability to relate the properties of

elements as function of their position in the Periodic Table.

Atomic number (z)Chemical Symbole

Atomic weight or mass (AW

or

AM)

H

C

z =

6

C =

carbon

PA =

12,011g/mol

nucleous

Energy levels

THE ATOM: BRIEF REMINDER

THE ELECTROMAGNETIC RADIATION

•To understand the internal structure of the atoms that form thematter and how this organization relates with their chemicalproperties, it is necessary understand their electronic structure,that is how the electrons are arranged around a core.•The electronic structure of atoms can be indirectly addressed byobserving the properties of the electromagnetic radiation they emit.•The visible light, infrared radiation, microwaves, radio waves, x-rays and other forms of radiant energy are all electromagneticradiations, that only differ on the quantity of energy they carry. Thecomplete set of all of the different types is known as the electromagnetic spectrum

(

See next slides

).

•Electromagnetic radiation is an energy form that manifestsas a wave and that is transmitted through space at highspeeds. •In other words, it’s an oscillatory and periodic energeticperturbation that moves two different and perpendicularlyoriented fields, one electric and one magnetic.

Electric field

Magnetic field

THE ELECTROMAGNETIC RADIATION

•The product of wavelength "

" by frequency "

", gives the velocity "v" of

the considered radiation in any medium of propagation.•For propagation in a vacuum, the speed is known as a constant "c", the limitvalue is 2,99.

10

cm / sec

10

cm / sec.

  • That is, the speed of light is:Sometimes it is easier to classify radiation in terms of frequency. Wave Number

: number of wave lengths within 1 cm. Wavelength and wave

number are related by the expression:•The wave number is an inverse function of the wavelength. The larger thewavelength, the smaller the frequency.

)

nt

environtme

(any

v



c

)

( 10

(^7)

nm

 

THE ELECTROMAGNETIC RADIATION

THE ELECTROMAGNETIC RADIATION SPECTRUM

•Ordering electromagnetic waves by their wavelength

•The energy of an electromagnetic radiation is not acontinuous body but comes in form of discrete amounts orenergy packages: quanta (plural of quantum). The energy ofeach quantum is inversely proportional to the wave frequency:•The energy exchange between matter and radiation occursin quanta as well. When an atom releases energy to theenvironment, it is majority done in form of electromagneticradiation:

Fundamental equation of quantum theory

h

= Planck’constant = 6,63. 10

J·s.

THE ELECTROMAGNETIC RADIATION:

ITS ENERGETICS

c

h

h

E

•Through many experiments of interaction between matter and energyin the form of electromagnetic radiation, it concluded thatelectromagnetic radiation and subatomic particle exhibit a dualbehavior: they behave as particles (energy packs) and ascomplementary waves.• Any moving object has an electromagnetic wave associated to itsmovement, whose frequency is directly proportial to the object velocityand inversally proportional to the moving object. The smaller is themoving object the more significant is the wave associated to it.Subatomic particles are very small and move very fast: they behaveas electromagnetic waves (

electronic microscop

•This concept suggested Schrödinger to characterize the electronwith a differential equation known as the

wave equation

. This led to a

new atomic model named quantum mechanics model of the atom.The solutions to this equation are called wave functions and arerepresented by the symbol:

THE ATOM AND THE ELECTROMAGNETIC RADIATION

  • Niels Bohr (1885-1962): He proposed a new atomic model,according to which the electrons revolve around the nucleus in well-defined levels. First model which introduces ideas of quantumphysics.•It was a very groundbreaking model since classic physics wouldpredict the self – destruction of the atoms: You need to constantlyaccelerate a particle to move it in an orbit, but if you accelerate acharged particle, it gives off radiation. That's how a radio transmitterworks.•The energy for that radiation would have to come from the electron.Just like in a gravitational field, the electron would lose energy byfalling ever closer to the nucleus. This would happen ridiculouslyquickly. For a hydrogen atom, it would take about 1 hundred billionthof a second for the electron to slam into the nucleus, destroying theatom entirely.

THE ATOM:

BORH MODEL

Increasing energetic magnitude of the orbits

One photon is released with an

energy proportional to the orbit leap

=E/h

Borh postulates: •The electron revolves in circular orbits characterized by a specificangular momentum (defined radii).• The orbits are energy levels where you can place the electrons in anatom. Electronic energy is quantified (application of quatum physics toexplain the atom structure).• The transition between orbits performed by absorption / emission energyquanta.

THE ATOM:

BORH MODEL

E

H

Quantum theory:

Schrödinger equation of electron waves

The electrons are treated as waves in 3D.
probabilistic approach versus describing the electron path.
“Quantization" of the electron energy.

THE ATOM:

THE WAVE FUCTION

Orbital:

region in the space in which there is a high probability of finding

an electron with the energy corresponding to a determined solution of thewave function (

Fundamental state:

electronic distribution that corresponds to the lowest

energy distribution for all the subatomic particles of a chemical system.•

Excited state:

electronic distribution in which one or more electrons are

in energy levels above the fundamental state (the electron/s is/are exited

Degeneration:

orbitals with equal energy but different orientation in the

space (i.e. equal

l

number and different

m

l

number).

Node plane:

region in the space in which an electron can not be found

(for a determined energy state

is nil).

THE ATOM: THE WAVE FUCTION.

BASIC CONCEPTS

Symbol

Orbital meaning

Range of values

Value examples

n

Shell

1

n

n

= 1, 2, 3,

l

subshell

(s orbital is listed as 0, p

orbital as 1 etc.)

0

l

n

for

n

= 3:

l

= 0, 1, 2 (s, p, d)

m

l

e

nergy shift

(orientation of the subshell's

shape)

l

m

l^

l

for

l

= 2:

m

l

=

2,

1, 0, 1, 2

m

s

spin of the electron

(

½

= "spin down",

½

= "spin

up")

s

ms

s

for an electron

s

=

½

,so

ms

=

½

,

½

H

n

m

m

s

o

or

•The solution of the wave function for the electron of the hydrogen atom inits fundamental state is:

THE ATOM:

THE QUANTUM NUMBERS

n

l

m

l

R(r)

Y(j,q)

1

0

0

2

Z a

0





3 2

e

Zr a

0

1 4





1 2

1s

2

0

0

Z 2

a

0





3 2

2

Zr a

0





e

Zr

2

a

0

1 4





1 2

2s

2

1

0

1

3

Z

2

a

0





3 2

Zr a

0





e

Zr

2

a

0

3 4





1 2

cos

2p

z

2

1

1

3

Z

2

a

0





3 2

Zr a

0





e

Zr

2

a

0

3 4





1 2

sen

cos

2p

x

2

1

1

3

Z

2

a

0





3 2

Zr a

0





e

Zr

2

a

0

3 4





1 2

sen

sen

2p

y

•The functions shape for the wave function of all the potentialelectronic states of the hydrogen electron are:

•Each solution gives a region of the space were the electron can bewhen its energy correspond to the quantity marked by

n

number.

THE ATOM:

THE QUANTUM NUMBERS