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The Atomic Theory and 
Electronic Structure 
A Visual-Historical Approach 
David A. Katz 
Department of Chemistry 
Pima Community College 
Tucson, AZ U.S.A. 
Voice: 520-206-6044 Email: dkatz@pima.edu 
Web site: http://www.chymist.com
Theories of Matter 
• The Greeks and Hindus appear to have developed 
theories on matter. 
• Most of the writings are attributed to the Greeks due to 
the amount of recorded information that has survived to 
the present. 
• Greeks thought substances could be converted or 
transformed into other forms. 
• They observed the changing of states due to heat and 
equated it with biological processes. 
• The Greeks were philosophers and thinkers, not 
experimentalists, so they did not conduct experiments to 
verify their ideas.
• Thales of Miletus (about 624-about 527 B.C.) 
– Proposed that water is the primal matter from which 
everything originated. 
– He is also credited with defining a soul as that which 
possesses eternal motion. 
• Anaximander (610-546 B.C.) 
– The primary substance, the apeiron, was eternal and 
unlimited in extension. It was not composed of any 
known elements and it possessed eternal motion (i.e., a 
soul). 
• Anaximenes (585-524 B.C.) 
– Stated that air is the primary substance 
– Suggested it could be transformed into other substances 
by thinning (fire) or thickening (wind, clouds, rain, hail, 
earth, rock).
• Heraclitus of Ephesus (544-484 B.C.) 
– fire is the primeval substance 
– Change is the only reality. 
• The Pythagoreans (Pythagoras (570-490 B.C.)) 
– Reduced the theory of matter to a mathematical and 
geometric basis by using geometric solids to represent the 
basic elements: 
• cube = earth 
• octahedron = air 
• tetrahedron = fire 
• icosahedron = water 
• dodecahedron = ether 
• Empedocles of Agrigentum (492-432 B.C.) 
– Credited with the first announcement of the concept of 
four elements: earth, air, fire, and water, which were 
capable of combining to form all other substances. 
– Elements combined by specific attractions or repulsions 
which were typified as love and hate.
• Anaxagoras of Klazomenae (c. 500-428 B.C.) 
– Considered the universe to be composed of an infinite 
variety of small particles called seeds. 
– These seeds were infinitely divisible and possessed a 
quality which allowed "like to attract like" to form 
substances such a flesh, bone, gold, etc. 
• Leucippus (5th century B.C.) and Democritus (460- 
370 B.C.) 
– First atomic theory. 
– All material things consisted of small indivisible 
particles, or atoms, which were all qualitatively alike, 
differing only in size, shape, position and mass. 
– Atoms, they stated, exist in a vacuous space which 
separates them and, because of this space, they are 
capable of movement. (This can be considered at the 
first kinetic theory.)
• Pierre Gassendi (1592-1655) 
– Revived the atomic theory (1650) 
• Atoms are primordial, impenetable, simple, 
unchangeable, and indestructible bodies 
• They are the smallest bodies that can exist 
• Atoms and vacuum, the absolutely full and the 
absolutely empty, are the only true principles 
and there is no third principle possible. 
• Atoms differ in size, shape and weight 
• Atoms may possess hooks and other 
excrescences 
• Atoms possess motion 
• Atoms form very small corpuscles, or 
molecules, which aggregate into larger and 
larger bodies
• Robert Boyle (1627-1691) 
– Hypothesized a universal matter, the concept 
of atoms of different shapes and sizes 
– Defined an element (The Sceptical Chymist, 
1661) 
• And, to prevent mistakes, I must advertise 
You, that I now mean by Elements, as those 
Chymists that speak plainest do by their 
Principles, certain Primitive and Simple, or 
perfectly unmingled bodies; which not being 
made of any other bodies, or of one 
another, are the Ingredients of which all 
those call’d perfectly mixt Bodies are 
immediately compounded, and into which 
they are ultimately resolved. 
– He could not give any examples of elements 
that fit his definition.
• Sir Isaac Newton (1642 -1727) 
– Modified atomic theory to atoms 
as hard particles with forces of 
attraction between them
Events Leading to the Modern Atomic Theory 
• Stephen Hales (1677-1761) 
– Devised the pneumatic trough, 
1727 
– Allowed for generation and 
collection of gases 
• Joseph Black (1728-1799) 
– Mass relationships in chemical 
reactions, 1752 
• Magnesia alba and fixed air. 
MgCO3  MgO + CO2
• Henry Cavendish (1731-1810) 
– Inflammable air, “Hydrogen”, 1766 
– Later: H2 + O2 → H2O 
• Joseph Priestley (1733-1804) 
and 
Carl Wilhelm Scheele (1742-1786) 
– Dephlogisticated air/ feuer luft 
“Oxygen”, 1774
• Antoine Laurent Lavoisier 
(1743-1794) (and Marie- 
Anne Pierrette Paulze 
Lavoisier (1758-1836)?) 
– Nature of combustion, 1777 
– Elements in Traité 
élémentaire de chemie, 1789
The Atomic Theory 
• John Dalton (1766-1844) 
– New System of Chemical 
Philosophy, 1808 
– All bodies are constituted of a vast 
number of extremely small 
particles, or atoms of matter bound 
together by a force of attraction 
– The ultimate particles of all 
homogeneous bodies are perfectly 
alike in weight, figure, etc.
The Atomic Theory 
– Atoms have definite relative weights “expressed in 
atoms of hydrogen, each of which is denoted by 
unity” 
– Atoms combine in simple numerical ratios to form 
compounds 
– Under given experimental conditions a particular 
atom will always behave in the same manner 
– Atoms are indestructible
Dalton’s symbols, 1808
Dalton’s atomic weights, 
1808
Jon Jakob Berzelius, 1813: Letters for element symbols 
Name Symbol Name Symbol Name Symbol Name Symbol 
Oxygen O Tungsten Tn Palladium Pa Uranium U 
Sulphur S Antimony Sb Silver Ag Cerium Ce 
Phosphorus P Tellurium Te Mercury Hg Yttrium Y 
Muriatic 
radicle 
M Columbium 
Cl Copper Cu Glucinum 
(nioblium) (beryllium) Gl 
(chlorine) 
Fluoric 
radicle F Titanium Ti Nickel Ni Aluminum Al 
Boron B Zirconium Zr Cobalt Co Magnesium Ms 
Carbon C Silicium Si Bismuth Bi Strontium Sr 
Nitric radicle N Osmium Os Lead Pb Barytium Ba 
Hydrogen H Iridium I Tin Sn Calcium Ca 
Arsenic As Rhodium Rh Iron Fe Sodium So 
Molybdenum Mo Platinum Pt Zinc Zn Potassium Po 
Chromium Ch Gold Au Manganese Ma
Pieces of Atoms – the electron 
• Heinrich Geissler 
(1814-1879) 
• Julius Plücker 
(1801-1868) 
– Evacuated tube 
glowed, 1859 
– Rays affected by a 
magnet
• Johann Wilhelm Hittorf (1824-1914) 
– Maltese cross tube, 1869 
• Rays travel in straight line 
• Cast shadows of objects
• William Crookes (1832-1919) 
– Verified previous observations, 
1879 
– Caused pinwheel to turn 
• Composed of particles 
– Have negative charge
• Joseph John Thomson (1846-1940) 
e/m = -1.759 x 108 coulomb/gram - 1897
• Robert Millikan (1868-1923) 
– Oil drop experiment – 1909 
e = -1.602 x 10-19 coulomb 
N = 6.062 x 1023 molecules/g-molecule
Pieces of Atoms – the proton 
• Eugen Goldstein (1850-1930) 
– Canal rays - 1886
Pieces of Atoms – the neutron 
• James Chadwick (1891-1974) 
Discovered the neutron – 1932
The Subatomic Particles 
Particle Symbol Charge 
coulomb 
Mass 
g 
Relative 
Charge 
Relative Mass 
amu 
0 
1eor e- 
electron -1.602 x 10-19 9.109 x 10-28 -1 0.0005486 ≈ 0 
- 
1 
1 p+ or H 
proton 1.602 x 10-19 1.673 x 10-24 +1 1.0073 
1 
0 n or n 
neutron 0 1.675 x 10-24 0 1.0087
Models of the Atom 
• Philipp Lenard (1862-1947) 
– Dynamids – 1903 
• Hantaro Nagaoka (1865-1950) 
– Saturnian model - 1904
• J. J. Thomson 
– Plum pudding – 1904 
• Partly based on A. M. 
Mayer’s (1836-1897) 
floating magnet experiment 
A. M. Mayer
“We suppose that the atom consists of a 
number of corpuscles moving about in a 
sphere of uniform positive 
electrification… 
when the corpuscles are constrained to 
move in one plane …the corpuscles will 
arrange themselves in a series of 
concentric rings. 
When the corpuscles are not constrained 
to one plane, but can move about in all 
directions, they will arrange themselves in 
a series of concentric shells” 
J. J. Thomson, 1904 
Photo Reference: Bartosz A. Grzybowski, 
Howard A. Stone and George M. Whitesides, 
Dynamic self-assembly of magnetized, 
millimetre-sized objects rotating at a liquid–air 
interface, Nature 405, 1033-1036 (29 June 2000)
Ernest Rutherford (1871-1937) 
Hans Geiger and Ernest Marsden – 1908 
Geiger and Marsden were running 
“experiments on scattering of alpha 
particles when passing through thin foils of 
metals such as aluminum, silver, gold, 
platinum, etc. A narrow pencil of alpha-particles 
under such conditions became 
dispersed through one or two degrees and 
the amount of dispersion,…,varied as the 
square root of the thickness or probable 
number of atoms encountered and also 
roughly as the square root of the atomic 
weight of the metal used. 
Recollections by Sir Ernest Marsden, J. B. Birks, 
editor, Rutherford at Manchester, W. A. Benjamin 
Inc., 1963
In a discussion with Geiger, regarding Ernest Marsden, 
Rutherford stated that “I agreed with Geiger that young 
Marsden, whom he had been training in radioactive methods, 
ought to begin a research. Why not let him see if any α- 
particles can be scattered through a large angle? I did not 
believe they would be…” 
Recollections by Ernest Rutherford, J. B. Birks, editor, Rutherford at Manchester, W. A. 
Benjamin Inc., 1963 
“The observations, however, of Geiger and Marsden** on the 
scattering of a rays indicate that some of the α particles, about 
1 in 20,000 were turned through an average angle of 90 
degrees in passing though a layer of gold-foil about 0.00004 cm. 
thick, … It seems reasonable to suppose that the deflexion 
through a large angle is due to a single atomic encounter, …” 
** Proc. Roy. Soc. lxxxii, p. 495 (1909) 
*** Proc. Roy. Soc. lxxxiii, p. 492 (1910)
From the experimental results, Rutherford deduced that the 
positive electricity of the atom was concentrated in a small 
nucleus and “the positive charge on the nucleus had a 
numerical value approximating to half the atomic weight.” 
Recollections by Sir Ernest Marsden, J. B. Birks, editor, Rutherford at Manchester, W. A. 
Benjamin Inc., 1963
“It was quite the most incredible event that has ever happened 
to me in my life. It was almost as incredible as if you had fired a 
15-inch shell at a piece of tissue-paper and it came back and hit 
you.” 
Recollections by Ernest Rutherford, J. B. Birks, editor, Rutherford at Manchester, W. A. Benjamin 
Inc., 1963
The 
Rutherford 
Atom Model 
The atom is mostly empty space with a dense nucleus 
Protons and neutrons in are located in the nucleus. 
The number of electrons is equal to the number of 
protons. 
Electrons are located in space around the nucleus. 
Atoms are extremely small: the diameter of a hydrogen 
atom is 6.1 x 10-11 m (61 pm)
Radioactivity and 
Stability of the nucleus 
Wilhelm Conrad Roentgen 
1845-1923 
Discovered x-rays - 1895 
Barium 
platinocyanide
Henri Becquerel (1852-1908) 
Radiation activity, 1896 
Image of potassium uranyl 
sulfate 
Uranium nitrate
Marie Curie with inset photo 
of Pierre Curie 
pitchblende 
Radium bromide 
Pierre Curie (1859-1906) 
Marie Curie (1867-1934) 
Radioactivity- 1898 
Polonium - 1898 
Radium - 1898
Ernest Rutherford (1871-1937) 
α, β, γ - 1903 
In his lab at McGill University, 1903
Glenn T. Seaborg (1912-1999) 
Extending the periodic table
Spectra
The Electromagnetic Spectrum 
Viewing spectra using holographic diffraction 
grating (Flinn Scientific C-Spectra) 
Hydrogen spectrum Helium spectrum
The Balmer Series of Hydrogen Lines 
• In 1885, Johann Jakob Balmer (1825 - 1898), 
worked out a formula to calculate the positions 
of the spectral lines of the visible hydrogen 
spectrum 
2 ( m ) 
m 
Where m = an integer, 3, 4, 5, … 
• In 1888, Johannes Rydberg generalized 
Balmer’s formula to calculate all the lines of 
the hydrogen spectrum 
1 = R 
( 1 - 
1 ) l H n n 
Where RH = 109677.58 cm-1 
2 
2 2 364.56 
l = 
- 
2 2 
2 1
The Quantum Mechanical Model 
• Max Planck (1858 -1947) 
– Blackbody radiation – 1900 
– Light is emitted in bundles called 
quanta. 
e = hν 
h = 6.626 x 10-34 J-sec 
As the temperature 
decreases, the peak of the 
black-body radiation curve 
moves to lower intensities 
and longer wavelengths.
The Quantum Mechanical Model 
• Albert Einstein (1879-1955) 
The photoelectric effect – 1905 
Planck’s equation: e = hν 
Equation for light : c = λν 
Rearrange to 
n c 
l 
= 
Substitute into Planck’s equation 
From general relativity: e = mc2 
Substitute for e and solve for λ 
h 
mc 
l = 
e hc 
l 
= 
Light is composed of particles called photons
The Bohr Model - 1913 
• Niels Bohr (1885-1962)
The Bohr Model – Bohr’s Postulates 
1. Spectral lines are produced by atoms one at a 
time 
2. A single electron is responsible for each line 
3. The Rutherford nuclear atom is the correct 
model 
4. The quantum laws apply to jumps between 
different states characterized by discrete values 
of angular momentum and energy
The Bohr Model – Bohr’s Postulates 
5. The Angular momentum is given by 
n = an integer: 1, 2, 3, … 
h = Planck’s constant 
p = 
n( h ) 
2 p 
6. Two different states of the electron in the 
atom are involved. These are called “allowed 
stationary states”
The Bohr Model – Bohr’s Postulates 
7. The Planck-Einstein equation, E = hν holds for 
emission and absorption. If an electron makes 
a transition between two states with energies 
E1 and E2, the frequency of the spectral line is 
given by 
hν = E1 – E2 
ν = frequency of the spectral line 
E = energy of the allowed stationary state 
8. We cannot visualize or explain, classically (i.e., 
according to Newton’s Laws), the behavior of 
the active electron during a transition in the 
atom from one stationary state to another
r = 53 pm 
Bohr’s calculated radii of 
hydrogen energy levels 
r = n2A0 
r = 4(53) pm 
= 212 pm 
r = 16(53) pm 
= 848 pm 
r = 25(53) pm 
= 1325 pm 
r = 36(53) pm r = 49(53) pm 
= 1908 pm = 2597 pm 
r = 9 (53) pm 
= 477 pm
Lyman Series 
Balmer Series 
Paschen Series 
Brackett Series 
Pfund Series 
Humphrey’s Series
The Bohr Model 
The energy absorbed or emitted 
from the process of an electron 
transition can be calculated by the 
equation: 
( 1 1 ) H E R 
D = - 
2 2 
2 1 
n n 
where 
RH = the Rydberg constant, 2.18 ´ 10−18 J, 
and 
n1 and n2 are the initial and final energy 
levels of the electron.
The Wave Nature of the Electron 
• In 1924, Louis de Broglie (1892-1987) 
postulated that if light can act as a particle, 
then a particle might have wave properties 
• De Broglie took Einstein’s equation 
l = 
and rewrote it as 
h 
mc 
h 
mv 
l = 
where m = mass of an electron 
v = velocity of an electron
The Wave Nature of the Electron 
• Clinton Davisson (1881-1958 ) and 
Lester Germer (1886-1971) 
– Electron waves - 1927
• Werner Heisenberg (1901-1976) 
– The Uncertainty Principle, 1927 
“The more precisely the position is 
determined, the less precisely the 
D´D³ 
x p h 
p 
4 
momentum is known in this instant, and 
vice versa.” 
x p h 
p 
4 
D ´D ³ 
– As matter gets smaller, approaching the 
size of an electron, our measuring device 
interacts with matter to affect our 
measurement. 
– We can only determine the probability of 
the location or the momentum of the 
electron
Quantum Mechanics 
Erwin Schrodinger (1887-1961) 
• The wave equation, 1927 
• Uses mathematical equations of wave 
motion to generate a series of wave 
equations to describe electron behavior in 
an atom 
• The wave equations or wave functions are 
designated by the Greek letter ψ 
wave function potential energy at x,y,z 
d2Y 
dy2 
d2Y 
dx2 
d2Y 
dz2 + + 
8p2mQ 
h + 2 (E-V(x,y,z)Y(x,y,z) = 0 
how y changes in space 
mass of electron 
total quantized energy of 
the atomic system
Quantum Mechanics 
• The square of the wave 
equation, ψ2, gives a 
probability density map of 
where an electron has a 
certain statistical likelihood 
of being at any given 
instant in time.
Quantum Numbers 
• Solving the wave equation gives a set of wave 
functions, or orbitals, and their corresponding 
energies. 
• Each orbital describes a spatial distribution of 
electron density. 
• An orbital is described by a set of three quantum 
numbers. 
• Quantum numbers can be considered to be 
“coordinates” (similar to x, y, and z coodrinates 
for a graph) which are related to where an 
electron will be found in an atom.
Solutions to the Schrodinger Wave Equation 
Quantum Numbers of Electrons in Atoms 
Name Symbol Permitted Values Property 
principal n positive integers(1,2,3,…) Energy level 
angular 
momentum 
l integers from 0 to n-1 orbital shape (probability 
distribution) 
(The l values 0, 1, 2, and 3 
correspond to s, p, d, and f 
orbitals, respectively.) 
magnetic ml 
integers from -l to 0 to +l orbital orientation 
spin ms 
+1/2 or -1/2 direction of e- spin
Looking at Quantum Numbers: 
The Principal Quantum Number, n 
• The principal quantum number, n, 
describes the energy level on which the 
orbital resides. 
• The values of n are integers ≥ 0. 
n = 1, 2, 3, etc.
Looking at Quantum Numbers: 
The Azimuthal Quantum Number, l 
• The azimuthal (or angular momentum) quantum 
number tells the electron’s angular momentum. 
• Allowed values of l are integers ranging from 0 
to n − 1. 
For example, if n = 1, l = 0 
if n = 2, l can equal 0 or 1 
Value of l Angular momentum 
0 None 
1 Linear 
2 2-directional 
3 3-directional
Looking at Quantum Numbers: 
The Azimuthal Quantum Number, l 
• The values of l relate to the most probable electron 
distribution. 
• Letter designations are used to designate the different 
values of l and, therefore, the shapes of orbitals. 
Value 
of l 
Orbital (subshell) 
Letter designation 
Orbital Shape Name* 
0 s sharp 
1 p principal 
2 d diffuse 
3 f fine 
* From 
emission 
spectroscopy 
terms
Looking at Quantum Numbers: 
The Magnetic Quantum Number, ml 
• Describes the orientation of an orbital with respect to a 
magnetic field 
• This translates as the three-dimensional orientation of 
the orbital. 
• Values of ml are integers ranging from -l to l: 
−l ≤ ml ≤ l. 
Values of l Values of ml Orbital 
designation 
Number of 
orbitals 
0 0 s 1 
1 -1, 0, +1 p 3 
2 -2, -1, 0, +1, +2 d 5 
3 -3, -2, -1, 0, +1, +2, +3 f 7
Quantum Numbers and Subshells 
• Orbitals with the same value of n form a shell 
• Different orbital types within a shell are called subshells.
Pictures of s and p orbitals 
Imaging the atomic orbitals of carbon atomic chains with 
field-emission electron microscopy 
I. M. Mikhailovskij, E. V. Sadanov, T. I. Mazilova, V. A. Ksenofontov, 
and O. A. Velicodnaja, Department of Low Temperatures and 
Condensed State, National Scientific Center, Kharkov Institute for 
Physics and Technology, Academicheskaja, 1, Kharkov 61108, Ukraine 
Phys. Rev. B 80, 165404 (2009)
A Summary 
of Atomic 
Orbitals from 
1s to 3d
Approximate energy levels for neutral atoms. 
From Ronald Rich, Periodic Correlations, 1965 
Empty subshells 
Valence 
subshells 
Full 
subshells
The Spin Quantum Number, ms 
• In the 1920s, it was 
discovered that two 
electrons in the same 
orbital do not have exactly 
the same energy. 
• The “spin” of an electron 
describes its magnetic 
field, which affects its 
energy.
• Otto Stern (1888-1969) and 
Walther Gerlach (1889-1979) 
– Stern-Gerlach experiment, 1922
Spin Quantum Number, ms 
• This led to a fourth 
quantum number, the spin 
quantum number, ms. 
• The spin quantum number 
has only 2 allowed values: 
+1/2 and −1/2.
• Wolfgang Pauli (1900-1958) 
– Pauli Exclusion Principle, 1925 
“There can never be two or more 
equivalent electrons in an atom for 
which in strong fields the values of all 
quantum numbers n, k1, k2, m1 (or, 
equivalently, n, k1, m1, m1) are the 
same.”
Hund’s Rule 
Friedrich Hund (1896 - 1997) 
For degenerate orbitals, 
the lowest energy is 
attained when the 
electrons occupy 
separate orbitals with 
their spins unpaired.
J. Mauritsson, P. Johnsson, E. Mansten, M. Swoboda, T. Ruchon, A. L’Huillier, and K. J. 
Schafer, Coherent Electron Scattering Captured by an Attosecond Quantum 
Stroboscope, PhysRevLett.,100.073003, 22 Feb. 2008 
http://www.atto.fysik.lth.se/

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Atomic theory history

  • 1. The Atomic Theory and Electronic Structure A Visual-Historical Approach David A. Katz Department of Chemistry Pima Community College Tucson, AZ U.S.A. Voice: 520-206-6044 Email: dkatz@pima.edu Web site: http://www.chymist.com
  • 2. Theories of Matter • The Greeks and Hindus appear to have developed theories on matter. • Most of the writings are attributed to the Greeks due to the amount of recorded information that has survived to the present. • Greeks thought substances could be converted or transformed into other forms. • They observed the changing of states due to heat and equated it with biological processes. • The Greeks were philosophers and thinkers, not experimentalists, so they did not conduct experiments to verify their ideas.
  • 3. • Thales of Miletus (about 624-about 527 B.C.) – Proposed that water is the primal matter from which everything originated. – He is also credited with defining a soul as that which possesses eternal motion. • Anaximander (610-546 B.C.) – The primary substance, the apeiron, was eternal and unlimited in extension. It was not composed of any known elements and it possessed eternal motion (i.e., a soul). • Anaximenes (585-524 B.C.) – Stated that air is the primary substance – Suggested it could be transformed into other substances by thinning (fire) or thickening (wind, clouds, rain, hail, earth, rock).
  • 4. • Heraclitus of Ephesus (544-484 B.C.) – fire is the primeval substance – Change is the only reality. • The Pythagoreans (Pythagoras (570-490 B.C.)) – Reduced the theory of matter to a mathematical and geometric basis by using geometric solids to represent the basic elements: • cube = earth • octahedron = air • tetrahedron = fire • icosahedron = water • dodecahedron = ether • Empedocles of Agrigentum (492-432 B.C.) – Credited with the first announcement of the concept of four elements: earth, air, fire, and water, which were capable of combining to form all other substances. – Elements combined by specific attractions or repulsions which were typified as love and hate.
  • 5. • Anaxagoras of Klazomenae (c. 500-428 B.C.) – Considered the universe to be composed of an infinite variety of small particles called seeds. – These seeds were infinitely divisible and possessed a quality which allowed "like to attract like" to form substances such a flesh, bone, gold, etc. • Leucippus (5th century B.C.) and Democritus (460- 370 B.C.) – First atomic theory. – All material things consisted of small indivisible particles, or atoms, which were all qualitatively alike, differing only in size, shape, position and mass. – Atoms, they stated, exist in a vacuous space which separates them and, because of this space, they are capable of movement. (This can be considered at the first kinetic theory.)
  • 6. • Pierre Gassendi (1592-1655) – Revived the atomic theory (1650) • Atoms are primordial, impenetable, simple, unchangeable, and indestructible bodies • They are the smallest bodies that can exist • Atoms and vacuum, the absolutely full and the absolutely empty, are the only true principles and there is no third principle possible. • Atoms differ in size, shape and weight • Atoms may possess hooks and other excrescences • Atoms possess motion • Atoms form very small corpuscles, or molecules, which aggregate into larger and larger bodies
  • 7. • Robert Boyle (1627-1691) – Hypothesized a universal matter, the concept of atoms of different shapes and sizes – Defined an element (The Sceptical Chymist, 1661) • And, to prevent mistakes, I must advertise You, that I now mean by Elements, as those Chymists that speak plainest do by their Principles, certain Primitive and Simple, or perfectly unmingled bodies; which not being made of any other bodies, or of one another, are the Ingredients of which all those call’d perfectly mixt Bodies are immediately compounded, and into which they are ultimately resolved. – He could not give any examples of elements that fit his definition.
  • 8. • Sir Isaac Newton (1642 -1727) – Modified atomic theory to atoms as hard particles with forces of attraction between them
  • 9. Events Leading to the Modern Atomic Theory • Stephen Hales (1677-1761) – Devised the pneumatic trough, 1727 – Allowed for generation and collection of gases • Joseph Black (1728-1799) – Mass relationships in chemical reactions, 1752 • Magnesia alba and fixed air. MgCO3  MgO + CO2
  • 10. • Henry Cavendish (1731-1810) – Inflammable air, “Hydrogen”, 1766 – Later: H2 + O2 → H2O • Joseph Priestley (1733-1804) and Carl Wilhelm Scheele (1742-1786) – Dephlogisticated air/ feuer luft “Oxygen”, 1774
  • 11. • Antoine Laurent Lavoisier (1743-1794) (and Marie- Anne Pierrette Paulze Lavoisier (1758-1836)?) – Nature of combustion, 1777 – Elements in Traité élémentaire de chemie, 1789
  • 12. The Atomic Theory • John Dalton (1766-1844) – New System of Chemical Philosophy, 1808 – All bodies are constituted of a vast number of extremely small particles, or atoms of matter bound together by a force of attraction – The ultimate particles of all homogeneous bodies are perfectly alike in weight, figure, etc.
  • 13. The Atomic Theory – Atoms have definite relative weights “expressed in atoms of hydrogen, each of which is denoted by unity” – Atoms combine in simple numerical ratios to form compounds – Under given experimental conditions a particular atom will always behave in the same manner – Atoms are indestructible
  • 14.
  • 17. Jon Jakob Berzelius, 1813: Letters for element symbols Name Symbol Name Symbol Name Symbol Name Symbol Oxygen O Tungsten Tn Palladium Pa Uranium U Sulphur S Antimony Sb Silver Ag Cerium Ce Phosphorus P Tellurium Te Mercury Hg Yttrium Y Muriatic radicle M Columbium Cl Copper Cu Glucinum (nioblium) (beryllium) Gl (chlorine) Fluoric radicle F Titanium Ti Nickel Ni Aluminum Al Boron B Zirconium Zr Cobalt Co Magnesium Ms Carbon C Silicium Si Bismuth Bi Strontium Sr Nitric radicle N Osmium Os Lead Pb Barytium Ba Hydrogen H Iridium I Tin Sn Calcium Ca Arsenic As Rhodium Rh Iron Fe Sodium So Molybdenum Mo Platinum Pt Zinc Zn Potassium Po Chromium Ch Gold Au Manganese Ma
  • 18. Pieces of Atoms – the electron • Heinrich Geissler (1814-1879) • Julius Plücker (1801-1868) – Evacuated tube glowed, 1859 – Rays affected by a magnet
  • 19. • Johann Wilhelm Hittorf (1824-1914) – Maltese cross tube, 1869 • Rays travel in straight line • Cast shadows of objects
  • 20. • William Crookes (1832-1919) – Verified previous observations, 1879 – Caused pinwheel to turn • Composed of particles – Have negative charge
  • 21. • Joseph John Thomson (1846-1940) e/m = -1.759 x 108 coulomb/gram - 1897
  • 22. • Robert Millikan (1868-1923) – Oil drop experiment – 1909 e = -1.602 x 10-19 coulomb N = 6.062 x 1023 molecules/g-molecule
  • 23. Pieces of Atoms – the proton • Eugen Goldstein (1850-1930) – Canal rays - 1886
  • 24. Pieces of Atoms – the neutron • James Chadwick (1891-1974) Discovered the neutron – 1932
  • 25. The Subatomic Particles Particle Symbol Charge coulomb Mass g Relative Charge Relative Mass amu 0 1eor e- electron -1.602 x 10-19 9.109 x 10-28 -1 0.0005486 ≈ 0 - 1 1 p+ or H proton 1.602 x 10-19 1.673 x 10-24 +1 1.0073 1 0 n or n neutron 0 1.675 x 10-24 0 1.0087
  • 26. Models of the Atom • Philipp Lenard (1862-1947) – Dynamids – 1903 • Hantaro Nagaoka (1865-1950) – Saturnian model - 1904
  • 27. • J. J. Thomson – Plum pudding – 1904 • Partly based on A. M. Mayer’s (1836-1897) floating magnet experiment A. M. Mayer
  • 28. “We suppose that the atom consists of a number of corpuscles moving about in a sphere of uniform positive electrification… when the corpuscles are constrained to move in one plane …the corpuscles will arrange themselves in a series of concentric rings. When the corpuscles are not constrained to one plane, but can move about in all directions, they will arrange themselves in a series of concentric shells” J. J. Thomson, 1904 Photo Reference: Bartosz A. Grzybowski, Howard A. Stone and George M. Whitesides, Dynamic self-assembly of magnetized, millimetre-sized objects rotating at a liquid–air interface, Nature 405, 1033-1036 (29 June 2000)
  • 29. Ernest Rutherford (1871-1937) Hans Geiger and Ernest Marsden – 1908 Geiger and Marsden were running “experiments on scattering of alpha particles when passing through thin foils of metals such as aluminum, silver, gold, platinum, etc. A narrow pencil of alpha-particles under such conditions became dispersed through one or two degrees and the amount of dispersion,…,varied as the square root of the thickness or probable number of atoms encountered and also roughly as the square root of the atomic weight of the metal used. Recollections by Sir Ernest Marsden, J. B. Birks, editor, Rutherford at Manchester, W. A. Benjamin Inc., 1963
  • 30. In a discussion with Geiger, regarding Ernest Marsden, Rutherford stated that “I agreed with Geiger that young Marsden, whom he had been training in radioactive methods, ought to begin a research. Why not let him see if any α- particles can be scattered through a large angle? I did not believe they would be…” Recollections by Ernest Rutherford, J. B. Birks, editor, Rutherford at Manchester, W. A. Benjamin Inc., 1963 “The observations, however, of Geiger and Marsden** on the scattering of a rays indicate that some of the α particles, about 1 in 20,000 were turned through an average angle of 90 degrees in passing though a layer of gold-foil about 0.00004 cm. thick, … It seems reasonable to suppose that the deflexion through a large angle is due to a single atomic encounter, …” ** Proc. Roy. Soc. lxxxii, p. 495 (1909) *** Proc. Roy. Soc. lxxxiii, p. 492 (1910)
  • 31. From the experimental results, Rutherford deduced that the positive electricity of the atom was concentrated in a small nucleus and “the positive charge on the nucleus had a numerical value approximating to half the atomic weight.” Recollections by Sir Ernest Marsden, J. B. Birks, editor, Rutherford at Manchester, W. A. Benjamin Inc., 1963
  • 32. “It was quite the most incredible event that has ever happened to me in my life. It was almost as incredible as if you had fired a 15-inch shell at a piece of tissue-paper and it came back and hit you.” Recollections by Ernest Rutherford, J. B. Birks, editor, Rutherford at Manchester, W. A. Benjamin Inc., 1963
  • 33. The Rutherford Atom Model The atom is mostly empty space with a dense nucleus Protons and neutrons in are located in the nucleus. The number of electrons is equal to the number of protons. Electrons are located in space around the nucleus. Atoms are extremely small: the diameter of a hydrogen atom is 6.1 x 10-11 m (61 pm)
  • 34. Radioactivity and Stability of the nucleus Wilhelm Conrad Roentgen 1845-1923 Discovered x-rays - 1895 Barium platinocyanide
  • 35. Henri Becquerel (1852-1908) Radiation activity, 1896 Image of potassium uranyl sulfate Uranium nitrate
  • 36. Marie Curie with inset photo of Pierre Curie pitchblende Radium bromide Pierre Curie (1859-1906) Marie Curie (1867-1934) Radioactivity- 1898 Polonium - 1898 Radium - 1898
  • 37. Ernest Rutherford (1871-1937) α, β, γ - 1903 In his lab at McGill University, 1903
  • 38. Glenn T. Seaborg (1912-1999) Extending the periodic table
  • 40. The Electromagnetic Spectrum Viewing spectra using holographic diffraction grating (Flinn Scientific C-Spectra) Hydrogen spectrum Helium spectrum
  • 41. The Balmer Series of Hydrogen Lines • In 1885, Johann Jakob Balmer (1825 - 1898), worked out a formula to calculate the positions of the spectral lines of the visible hydrogen spectrum 2 ( m ) m Where m = an integer, 3, 4, 5, … • In 1888, Johannes Rydberg generalized Balmer’s formula to calculate all the lines of the hydrogen spectrum 1 = R ( 1 - 1 ) l H n n Where RH = 109677.58 cm-1 2 2 2 364.56 l = - 2 2 2 1
  • 42. The Quantum Mechanical Model • Max Planck (1858 -1947) – Blackbody radiation – 1900 – Light is emitted in bundles called quanta. e = hν h = 6.626 x 10-34 J-sec As the temperature decreases, the peak of the black-body radiation curve moves to lower intensities and longer wavelengths.
  • 43. The Quantum Mechanical Model • Albert Einstein (1879-1955) The photoelectric effect – 1905 Planck’s equation: e = hν Equation for light : c = λν Rearrange to n c l = Substitute into Planck’s equation From general relativity: e = mc2 Substitute for e and solve for λ h mc l = e hc l = Light is composed of particles called photons
  • 44. The Bohr Model - 1913 • Niels Bohr (1885-1962)
  • 45. The Bohr Model – Bohr’s Postulates 1. Spectral lines are produced by atoms one at a time 2. A single electron is responsible for each line 3. The Rutherford nuclear atom is the correct model 4. The quantum laws apply to jumps between different states characterized by discrete values of angular momentum and energy
  • 46. The Bohr Model – Bohr’s Postulates 5. The Angular momentum is given by n = an integer: 1, 2, 3, … h = Planck’s constant p = n( h ) 2 p 6. Two different states of the electron in the atom are involved. These are called “allowed stationary states”
  • 47. The Bohr Model – Bohr’s Postulates 7. The Planck-Einstein equation, E = hν holds for emission and absorption. If an electron makes a transition between two states with energies E1 and E2, the frequency of the spectral line is given by hν = E1 – E2 ν = frequency of the spectral line E = energy of the allowed stationary state 8. We cannot visualize or explain, classically (i.e., according to Newton’s Laws), the behavior of the active electron during a transition in the atom from one stationary state to another
  • 48. r = 53 pm Bohr’s calculated radii of hydrogen energy levels r = n2A0 r = 4(53) pm = 212 pm r = 16(53) pm = 848 pm r = 25(53) pm = 1325 pm r = 36(53) pm r = 49(53) pm = 1908 pm = 2597 pm r = 9 (53) pm = 477 pm
  • 49. Lyman Series Balmer Series Paschen Series Brackett Series Pfund Series Humphrey’s Series
  • 50. The Bohr Model The energy absorbed or emitted from the process of an electron transition can be calculated by the equation: ( 1 1 ) H E R D = - 2 2 2 1 n n where RH = the Rydberg constant, 2.18 ´ 10−18 J, and n1 and n2 are the initial and final energy levels of the electron.
  • 51. The Wave Nature of the Electron • In 1924, Louis de Broglie (1892-1987) postulated that if light can act as a particle, then a particle might have wave properties • De Broglie took Einstein’s equation l = and rewrote it as h mc h mv l = where m = mass of an electron v = velocity of an electron
  • 52. The Wave Nature of the Electron • Clinton Davisson (1881-1958 ) and Lester Germer (1886-1971) – Electron waves - 1927
  • 53. • Werner Heisenberg (1901-1976) – The Uncertainty Principle, 1927 “The more precisely the position is determined, the less precisely the D´D³ x p h p 4 momentum is known in this instant, and vice versa.” x p h p 4 D ´D ³ – As matter gets smaller, approaching the size of an electron, our measuring device interacts with matter to affect our measurement. – We can only determine the probability of the location or the momentum of the electron
  • 54. Quantum Mechanics Erwin Schrodinger (1887-1961) • The wave equation, 1927 • Uses mathematical equations of wave motion to generate a series of wave equations to describe electron behavior in an atom • The wave equations or wave functions are designated by the Greek letter ψ wave function potential energy at x,y,z d2Y dy2 d2Y dx2 d2Y dz2 + + 8p2mQ h + 2 (E-V(x,y,z)Y(x,y,z) = 0 how y changes in space mass of electron total quantized energy of the atomic system
  • 55. Quantum Mechanics • The square of the wave equation, ψ2, gives a probability density map of where an electron has a certain statistical likelihood of being at any given instant in time.
  • 56. Quantum Numbers • Solving the wave equation gives a set of wave functions, or orbitals, and their corresponding energies. • Each orbital describes a spatial distribution of electron density. • An orbital is described by a set of three quantum numbers. • Quantum numbers can be considered to be “coordinates” (similar to x, y, and z coodrinates for a graph) which are related to where an electron will be found in an atom.
  • 57. Solutions to the Schrodinger Wave Equation Quantum Numbers of Electrons in Atoms Name Symbol Permitted Values Property principal n positive integers(1,2,3,…) Energy level angular momentum l integers from 0 to n-1 orbital shape (probability distribution) (The l values 0, 1, 2, and 3 correspond to s, p, d, and f orbitals, respectively.) magnetic ml integers from -l to 0 to +l orbital orientation spin ms +1/2 or -1/2 direction of e- spin
  • 58. Looking at Quantum Numbers: The Principal Quantum Number, n • The principal quantum number, n, describes the energy level on which the orbital resides. • The values of n are integers ≥ 0. n = 1, 2, 3, etc.
  • 59. Looking at Quantum Numbers: The Azimuthal Quantum Number, l • The azimuthal (or angular momentum) quantum number tells the electron’s angular momentum. • Allowed values of l are integers ranging from 0 to n − 1. For example, if n = 1, l = 0 if n = 2, l can equal 0 or 1 Value of l Angular momentum 0 None 1 Linear 2 2-directional 3 3-directional
  • 60. Looking at Quantum Numbers: The Azimuthal Quantum Number, l • The values of l relate to the most probable electron distribution. • Letter designations are used to designate the different values of l and, therefore, the shapes of orbitals. Value of l Orbital (subshell) Letter designation Orbital Shape Name* 0 s sharp 1 p principal 2 d diffuse 3 f fine * From emission spectroscopy terms
  • 61. Looking at Quantum Numbers: The Magnetic Quantum Number, ml • Describes the orientation of an orbital with respect to a magnetic field • This translates as the three-dimensional orientation of the orbital. • Values of ml are integers ranging from -l to l: −l ≤ ml ≤ l. Values of l Values of ml Orbital designation Number of orbitals 0 0 s 1 1 -1, 0, +1 p 3 2 -2, -1, 0, +1, +2 d 5 3 -3, -2, -1, 0, +1, +2, +3 f 7
  • 62. Quantum Numbers and Subshells • Orbitals with the same value of n form a shell • Different orbital types within a shell are called subshells.
  • 63.
  • 64. Pictures of s and p orbitals Imaging the atomic orbitals of carbon atomic chains with field-emission electron microscopy I. M. Mikhailovskij, E. V. Sadanov, T. I. Mazilova, V. A. Ksenofontov, and O. A. Velicodnaja, Department of Low Temperatures and Condensed State, National Scientific Center, Kharkov Institute for Physics and Technology, Academicheskaja, 1, Kharkov 61108, Ukraine Phys. Rev. B 80, 165404 (2009)
  • 65. A Summary of Atomic Orbitals from 1s to 3d
  • 66. Approximate energy levels for neutral atoms. From Ronald Rich, Periodic Correlations, 1965 Empty subshells Valence subshells Full subshells
  • 67. The Spin Quantum Number, ms • In the 1920s, it was discovered that two electrons in the same orbital do not have exactly the same energy. • The “spin” of an electron describes its magnetic field, which affects its energy.
  • 68. • Otto Stern (1888-1969) and Walther Gerlach (1889-1979) – Stern-Gerlach experiment, 1922
  • 69. Spin Quantum Number, ms • This led to a fourth quantum number, the spin quantum number, ms. • The spin quantum number has only 2 allowed values: +1/2 and −1/2.
  • 70. • Wolfgang Pauli (1900-1958) – Pauli Exclusion Principle, 1925 “There can never be two or more equivalent electrons in an atom for which in strong fields the values of all quantum numbers n, k1, k2, m1 (or, equivalently, n, k1, m1, m1) are the same.”
  • 71. Hund’s Rule Friedrich Hund (1896 - 1997) For degenerate orbitals, the lowest energy is attained when the electrons occupy separate orbitals with their spins unpaired.
  • 72. J. Mauritsson, P. Johnsson, E. Mansten, M. Swoboda, T. Ruchon, A. L’Huillier, and K. J. Schafer, Coherent Electron Scattering Captured by an Attosecond Quantum Stroboscope, PhysRevLett.,100.073003, 22 Feb. 2008 http://www.atto.fysik.lth.se/