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By Aaradhya
Learning Standards

•   Atomic Structure
    Broad Concept:
    Atomic models are
    used to explain
    atoms and help us
    understand the
    interaction of
    elements and
    compounds
    observed on a
    macroscopic scale.,
–Recognize discoveries from Dalton (atomic
theory), Thomson (the electron), Rutherford (the
nucleus), and Bohr (planetary model of atom) and
understand how these discoveries lead to the
modern theory.

–Describe Rutherford’s “gold foil” experiment that
led to the discovery of the nuclear atom. Identify the
major components (protons, neutrons, and electrons)
of the nuclear atom and explain how they interact.


–Write the electron configurations for the first
twenty elements of the periodic table.
Atomic theory proposed by
John Dalton
All matter is composed of atoms
Atoms cannot be made or destroyed
All atoms of the same element are identical
Different elements have different types of
atoms
Chemical reactions occur when atoms are
rearranged
Compounds are formed from atoms of the
Atom Definition
             Atom

  What is inside the atom?
Discovery of Protons
• Eugene Goldstein noted streams of
  positively charged particles in cathode
  rays in 1886.
   – Particles move in opposite direction
     of cathode rays.
   – Called “Canal Rays” because they
     passed through holes (channels or
     canals) drilled through the negative
     electrode.
Canal rays must be positive.
 Goldstein postulated the
 existence of a positive
 fundamental particle called
 the “proton”.
Thomson’s Experiment And
     Discovery of Electrons

           -   Voltage source   +


Passing an electric current makes a beam
appear to move from the negative to the
positive end.
Thomson’s Experiment
           Voltage source

                   +



                   -
By adding an electric field he found
that the moving pieces were negative.
The  electron was discovered in
1897 by Thomson. He imagined
the atom as a “raisin pudding” with
electrons stuck in a cake of
positive charge.
J.J. Thomson’s Model of Atom
              • Plum Pudding Model,
                1896
              • Thought an atom was
                like plum pudding
                – Dough was cloud
                – Raisins were electrons


                – Didn’t know about
                  neutrons at this time
Rutherford’s experiment and
     discovery of nucleus

• English physicist Ernest Rutherford
  (1911)
• Shot alpha particles at fluorescent
  screen.
• When an alpha particle hits a fluorescent
  screen, it glows.
Fluorescent
Lead    Uranium          Screen
block

                  Gold Foil
What he expected




He Expected

The alpha particles to pass through without
changing direction very much.
What he got
He thought the mass was
evenly distributed in the atom
The Nuclear Atom
Since some
particles were
deflected at
large angles,
Thomson’s
model could
not be correct.
How Rutherford
explained results…..
 • Atom is mostly
   empty space.
 • Small dense,
   positive piece at
   center is
   (NUCLEUS)
Rutherford’s Findings
 Most of the particles passed right
through
 A few particles were deflected
 VERY FEW were greatly deflected
              “Like howitzer shells bouncing
              off of tissue paper!”

                    Conclusions:
               a) The nucleus is small
               b) The nucleus is dense
               c) The nucleus is positively
                 charged
The model created by Rutherford had
still some serious discordance.
According to the classic science,
electron moving around the nucleus
should emit an electromagnetic wave.
Electron should than move not by the
circle but helical and finally collide with
the nucleus. But atom is stable.
Rutherford also realized that the
nucleus must contain both neutral and
positively charged particles. The
neutron was then discovered in 1932
by Chadwick.
Atomic number and Mass number :-

•   a) Atomic number (Z) :-
•      The atomic number of an element is the number of protons present in the
•   nucleus of the atom of the element.
•      All the atoms of an element have the same atomic number.
•     Eg :- Hydrogen – Atomic number = 1 (1 proton)
•           Helium - Atomic number = 2 (2 protons)
•           Lithium - Atomic number = 3 (3 protons)
•   b) Mass number (A) :-
•     The mass number of an element is the sum of the number of protons and
•   neutrons (nucleons) present in the nucleus of an atom of the element.
•     The mass of an atom is mainly the mass of the protons and neutrons in the nucleus of the atom.
•   Eg :- Carbon – Mass number = 12 (6 protons + 6 neutrons) Mass = 12u
•     Aluminium – Mass number = 27 (13 protons + 14 neutrons) Mass = 27u
•        Sulphur – Mass number = 32 (16 protons + 16 neutrons) Mass = 32u

• In the notation of an atom the             Mass number Symbol of                14
• atomic number and mass number                              element     E g :-        N
                                                                                  7
• are written as :-                        Atomic number
Isotopes

•      Isotopes are atoms of the same element having the same
  atomic numbers but different mass numbers.
• Eg :- Hydrogen has three isotopes. They
   are1 Protium, Deuterium 3(D) and Tritium (T).
                     2
• 1H                 1H
                            1
                                  H
• Protium         Deuterium       Tritium
• Carbon has two isotopes. They are :-
       12          14
•       6C         6C
• Chlorine has two isotopes They are :-
    35            37
• 17 Cl              Cl
                  17
•
Isobars
•    Isobars are atoms of different elements having
  different atomic numbers but same mass numbers.
•    These pairs of elements have the same number of
  nucleons.
•   Eg :- Calcium (Ca) – atomic number - 20 and Argon
  (Ar) – atomic number 18 have different atomic
  numbers but have the same mass numbers – 40.
               40           40
               20   Ca      18   Ar
•        Iron (Fe) and Nickel (Ni) have different atomic
    numbers but have the same atomic mass numbers –
    58.
•             58
                   Fe
                            58
                                 Ni
              27            28
•
Bohr’s Model of the Atom
• Similar to
  Rutherford’s model
• Thought atom was
  mostly empty space
• Neils Bohr, 1913
  – Nucleus in center
    is dense,
    positively charge
  – Electrons revolve
    around the
    nucleus.
Following Rutherford’s
planetary model of the atom, it
was realized that the attraction
between the electrons and the
protons should make the atom
unstable
Bohr proposed a model in
which the electrons would
stably occupy fixed orbits, as
long as these orbits had special
quantized locations
Parts of an Atom
Each element has a different number of protons
in its nucleus
    Protons have positive charge                 p
    Change the number of protons  change
    elements
    This is called nuclear physics
The element also has the same number of
electrons
    Electrons have negative charge
                                                 e
    Change the number of electrons  ionize
    the element
    This is called chemistry
Some elements also have neutrons
    Neutrons have no charge                      n
    They are in the nuclei of atoms
Subatomic particles
                          Actual
Name Symbol Charge        mass (g)
Electron   e-            9.11 x 10-28
Proton     p+            1.67 x 10-24
Neutron    n0            1.67 x 10-24
Bohr’s model
• Electrons move around the nucleus at
  stable orbits without emitting radiation.

• Electron in one of these stable orbit has
  a definite energy.

• Energy is radiated only when electrons
  make transitions from high energy orbit
  to a low energy orbit.
In the Bohr model, the electron can
change orbits, accompanied by the
absorption or emission of a photon
of a specific color of light.
Wave Nature of Electromagnetic Radiation

        Waves have 3 primary characteristics:
 1. Wavelength (λ): distance between two consecutive peaks in a wave.
 2. Frequency (ν): number of waves (cycles)           per second that pass a given
 point in space.
 3. Speed: speed of light is 2.9979 * 108             m/s. We will use 3.00 x108
 m/s.

Wavelength and frequency can be interconvert and they have an inverse relationship
v = c/λ
         v = frequency (s1)
          λ = wavelength (m)
         c = speed of light (m s1)
Wavelength is also given in nm (1 nm = 10-9 m) and Angstroms (Å) (1 Å = 10-10 m).
The frequency value of s1 or 1/s is also called “hertz (Hz)” like KHz on the radio.
The Particle Nature of
           Light


•Blackbody radiation
•The photoelectric effect
Blackbody Radiation and the Quantization
                 of Energy




          A                                                  B


A. The interior of a cold ceramic-firing kiln approximates a blackbody, an
object that absorbs all radiation falling on it and appears black. A hot
kiln emits light characteristic of blackbody radiation. B Planck’s formula
generates a curve that fits perfectly the changes in energy and intensity
of light emitted by blackbody at different wavelength for a given
temperature
Planck’s Formula

• To find a physical explanation of blackbody Planck
  made a radical assumption that the hot, glowing
  object could emit (or absorb) only certain quantities of
  energy:
• E = nhν
• Where E is the energy of the radiation, ν is its
  frequency, n is a positive integer (1, 2, 3 and so on)
  called a quantum number and h is a proportionality
  constant now called Planck’s constant and has value
  = 6,626x10-34 J.s
The Photoelectric Effect and The Photon
           Theory of Light
            • Current flow when monochromatic light of
              sufficient energy shines on a metal plate
            • The photoelectric effect had certain features: the
              presence of a threshold frequency and the absence
              of a time lag
            • Carrying Planck’s idea of packeted energy,
              Einstein proposed that light itself is particulate,
              occurring as quanta of electromagnetic energy,
              called photon
            • In terms of Planck’s work we can say that each
              atom changes its energy whenever it absorbs or
              emits one photon, one “particle” of light, whose
              energy is fixed by its frequency
            • Ephoton = hν = ∆Eatom
Bohr's model for hydrogen atom
         • Niels Bohr adopted Planck’s assumption and
            explained these phenomena in this way:
         1.Electrons in an atom can only occupy certain orbits
            (corresponding to certain energies).
        • Niels Bohr adopted Planck’s assumption and
          explained these phenomena in this way:
           2. Electrons in permitted orbits have specific,
               “allowed”      energies; these energies will not be
        • Niels Bohr from the Planck’s assumption and
               radiated
                        adopted
                                 atom.
            explained these phenomena in this way:
         3.Energy is only absorbed or emitted in sucha way
            as to move an electron from one “allowed” energy
            state to another; the energy is defined by
                                  E = hν
Bohr's model for hydrogen atom
          • Lyman series
            The atom will remain in the excited state for a
             short time before emitting a photon and
             returning to a lower stationary state. All
             hydrogen atoms exist in n = 1 (invisible).
          • Balmer series
            When sunlight passes through the atmosphere,
             hydrogen atoms in water vapor absorb the
             wavelengths (visible). H atoms exist in n=2.
          Similarly it will fill in:
          • Paschen From n=4,5……… till n=3
          • Brackutt from n=5,6……… till n=4
          • Pfund          from n=6,7……… till n=5
Bohr's model for hydrogen atom
The energy absorbed or
emitted from the process of
electron promotion or
demotion can be calculated
by the equation:

                1     1
  ∆E = −RH (    nf2
                    - n2   )
                       i


where RH is the Rydberg
constant, 2.18 × 10−18 J, and
ni and nf are the initial and
final energy levels of the
electron.
Limitation of Bohr’s Model
• Bohr’s model only works for hydrogen atom and
  other one-electron (hydrogen-like) ionic species,
  such as He+, Li2+, etc.
• For H-atom, electronic energy:
  En = -2.178 x 10-18 J(1/n2)
• For other one-electron particle: En = -2.178 x 10-18 J(Z2/n2)
   –                                            (Z = atomic number)
• Bohr’s model cannot explain atomic spectra of atoms having more
  than one electron;
• Bohr’s model also cannot explain why each line in the hydrogen
  spectrum appears as double-lines if the discharge tube is placed in
  magnetic field.
• Perhaps his treatment of electron as having only particulate
  properties is insufficient.
Aufbau Principle
        •        As protons are added
            one by one to the nucleus to
            build up the elements,
            electrons are similarly added
            to these hydrogen-like
            orbital.

        •     H : 1s1, He : 1s2, Li :
          1s2 2s1, Be : 1s2 2s2
        •     B : 1s2 2s2 2p1, C : 1s2
          2s2 2p2.
Hund’s Rule
 •       The lowest energy
     configuration for an atom is the
     one having the maximum
     number of unpaired electrons
     allowed by the Pauli principle in
     a particular set of degenerate
     orbitals.

 •    N : 1s2 2s2 2p3, O : 1s2 2s2
   2p4,
 •    F : 1s2 2s2 2p5, Ne : 1s2
   2s2 2p6,
 •    Na : 1s2 2s2 2p63s1 OR
   [Ne] 3s1
Heisenberg Uncertainty Principle
x = position                                      h
mv = momentum              ∆ x ⋅ ∆ (m v ) ≥
h = Planck’s constant                            4π
The more accurately we know a particle’s position, the
less accurately we can know its momentum. Both the
position and momentum of a particle can not be
determined precisely at a given time. The uncertainty
principle implies that we cannot know the exact motion of
the electron as it moves around the nucleus.
Quantum Numbers (QN)
• The principal quantum number (n) is a positive integer (1, 2,
  3 and so forth). It indicates the relative size of the orbital and
  therefore the relative distance from the nucleus of the peak in the
  radial probability distribution plot
  Principal QN (n = 1, 2, 3, . . .)

• The angular momentum number (l) is an integer from 0 to n-
  1. it is related to the shape of the orbital and is sometimes called
  orbital-shape quantum number
  Angular Momentum QN (l = 0 to n  1)

• The magnetic quantum number (ml) is an integer from –l
  through 0 to +l. it prescribes the orientation of the orbital in the
  space around the nucleus and is sometimes called the orbital-
  orientation quantum number
  Magnetic QN (ml = l to l including 0)
Quantum Numbers (QN)

• Spin Quantum Number, (s)This led to a fourth quantum
  number, the spin quantum number, ms.
  Electron Spin QN has only 2 allowed values: +1/2 and
  −1/2.
Pauli Exclusion Principle
       • No two electrons in the same atom can
         have exactly the same energy.
       • No two electrons in the same atom can
         have identical sets of quantum numbers.
         (n, l, ml, ms).
       • Therefore, an orbital can hold only two
         electrons, and they must have opposite
         spins.
Structur of atom

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Structur of atom

  • 2. Learning Standards • Atomic Structure Broad Concept: Atomic models are used to explain atoms and help us understand the interaction of elements and compounds observed on a macroscopic scale.,
  • 3. –Recognize discoveries from Dalton (atomic theory), Thomson (the electron), Rutherford (the nucleus), and Bohr (planetary model of atom) and understand how these discoveries lead to the modern theory. –Describe Rutherford’s “gold foil” experiment that led to the discovery of the nuclear atom. Identify the major components (protons, neutrons, and electrons) of the nuclear atom and explain how they interact. –Write the electron configurations for the first twenty elements of the periodic table.
  • 4. Atomic theory proposed by John Dalton All matter is composed of atoms Atoms cannot be made or destroyed All atoms of the same element are identical Different elements have different types of atoms Chemical reactions occur when atoms are rearranged Compounds are formed from atoms of the
  • 5. Atom Definition Atom What is inside the atom?
  • 6.
  • 7. Discovery of Protons • Eugene Goldstein noted streams of positively charged particles in cathode rays in 1886. – Particles move in opposite direction of cathode rays. – Called “Canal Rays” because they passed through holes (channels or canals) drilled through the negative electrode.
  • 8. Canal rays must be positive. Goldstein postulated the existence of a positive fundamental particle called the “proton”.
  • 9. Thomson’s Experiment And Discovery of Electrons - Voltage source + Passing an electric current makes a beam appear to move from the negative to the positive end.
  • 10. Thomson’s Experiment Voltage source + - By adding an electric field he found that the moving pieces were negative.
  • 11. The electron was discovered in 1897 by Thomson. He imagined the atom as a “raisin pudding” with electrons stuck in a cake of positive charge.
  • 12. J.J. Thomson’s Model of Atom • Plum Pudding Model, 1896 • Thought an atom was like plum pudding – Dough was cloud – Raisins were electrons – Didn’t know about neutrons at this time
  • 13. Rutherford’s experiment and discovery of nucleus • English physicist Ernest Rutherford (1911) • Shot alpha particles at fluorescent screen. • When an alpha particle hits a fluorescent screen, it glows.
  • 14. Fluorescent Lead Uranium Screen block Gold Foil
  • 15. What he expected He Expected The alpha particles to pass through without changing direction very much.
  • 17. He thought the mass was evenly distributed in the atom
  • 18. The Nuclear Atom Since some particles were deflected at large angles, Thomson’s model could not be correct.
  • 19. How Rutherford explained results….. • Atom is mostly empty space. • Small dense, positive piece at center is (NUCLEUS)
  • 20. Rutherford’s Findings  Most of the particles passed right through  A few particles were deflected  VERY FEW were greatly deflected “Like howitzer shells bouncing off of tissue paper!” Conclusions: a) The nucleus is small b) The nucleus is dense c) The nucleus is positively charged
  • 21. The model created by Rutherford had still some serious discordance. According to the classic science, electron moving around the nucleus should emit an electromagnetic wave. Electron should than move not by the circle but helical and finally collide with the nucleus. But atom is stable.
  • 22. Rutherford also realized that the nucleus must contain both neutral and positively charged particles. The neutron was then discovered in 1932 by Chadwick.
  • 23. Atomic number and Mass number :- • a) Atomic number (Z) :- • The atomic number of an element is the number of protons present in the • nucleus of the atom of the element. • All the atoms of an element have the same atomic number. • Eg :- Hydrogen – Atomic number = 1 (1 proton) • Helium - Atomic number = 2 (2 protons) • Lithium - Atomic number = 3 (3 protons) • b) Mass number (A) :- • The mass number of an element is the sum of the number of protons and • neutrons (nucleons) present in the nucleus of an atom of the element. • The mass of an atom is mainly the mass of the protons and neutrons in the nucleus of the atom. • Eg :- Carbon – Mass number = 12 (6 protons + 6 neutrons) Mass = 12u • Aluminium – Mass number = 27 (13 protons + 14 neutrons) Mass = 27u • Sulphur – Mass number = 32 (16 protons + 16 neutrons) Mass = 32u • In the notation of an atom the Mass number Symbol of 14 • atomic number and mass number element E g :- N 7 • are written as :- Atomic number
  • 24. Isotopes • Isotopes are atoms of the same element having the same atomic numbers but different mass numbers. • Eg :- Hydrogen has three isotopes. They are1 Protium, Deuterium 3(D) and Tritium (T). 2 • 1H 1H 1 H • Protium Deuterium Tritium • Carbon has two isotopes. They are :- 12 14 • 6C 6C • Chlorine has two isotopes They are :- 35 37 • 17 Cl Cl 17 •
  • 25. Isobars • Isobars are atoms of different elements having different atomic numbers but same mass numbers. • These pairs of elements have the same number of nucleons. • Eg :- Calcium (Ca) – atomic number - 20 and Argon (Ar) – atomic number 18 have different atomic numbers but have the same mass numbers – 40. 40 40 20 Ca 18 Ar • Iron (Fe) and Nickel (Ni) have different atomic numbers but have the same atomic mass numbers – 58. • 58 Fe 58 Ni 27 28 •
  • 26. Bohr’s Model of the Atom • Similar to Rutherford’s model • Thought atom was mostly empty space • Neils Bohr, 1913 – Nucleus in center is dense, positively charge – Electrons revolve around the nucleus.
  • 27. Following Rutherford’s planetary model of the atom, it was realized that the attraction between the electrons and the protons should make the atom unstable Bohr proposed a model in which the electrons would stably occupy fixed orbits, as long as these orbits had special quantized locations
  • 28. Parts of an Atom Each element has a different number of protons in its nucleus Protons have positive charge p Change the number of protons  change elements This is called nuclear physics The element also has the same number of electrons Electrons have negative charge e Change the number of electrons  ionize the element This is called chemistry Some elements also have neutrons Neutrons have no charge n They are in the nuclei of atoms
  • 29. Subatomic particles Actual Name Symbol Charge mass (g) Electron e- 9.11 x 10-28 Proton p+ 1.67 x 10-24 Neutron n0 1.67 x 10-24
  • 30. Bohr’s model • Electrons move around the nucleus at stable orbits without emitting radiation. • Electron in one of these stable orbit has a definite energy. • Energy is radiated only when electrons make transitions from high energy orbit to a low energy orbit.
  • 31. In the Bohr model, the electron can change orbits, accompanied by the absorption or emission of a photon of a specific color of light.
  • 32. Wave Nature of Electromagnetic Radiation Waves have 3 primary characteristics: 1. Wavelength (λ): distance between two consecutive peaks in a wave. 2. Frequency (ν): number of waves (cycles) per second that pass a given point in space. 3. Speed: speed of light is 2.9979 * 108 m/s. We will use 3.00 x108 m/s. Wavelength and frequency can be interconvert and they have an inverse relationship v = c/λ v = frequency (s1) λ = wavelength (m) c = speed of light (m s1) Wavelength is also given in nm (1 nm = 10-9 m) and Angstroms (Å) (1 Å = 10-10 m). The frequency value of s1 or 1/s is also called “hertz (Hz)” like KHz on the radio.
  • 33. The Particle Nature of Light •Blackbody radiation •The photoelectric effect
  • 34. Blackbody Radiation and the Quantization of Energy A B A. The interior of a cold ceramic-firing kiln approximates a blackbody, an object that absorbs all radiation falling on it and appears black. A hot kiln emits light characteristic of blackbody radiation. B Planck’s formula generates a curve that fits perfectly the changes in energy and intensity of light emitted by blackbody at different wavelength for a given temperature
  • 35. Planck’s Formula • To find a physical explanation of blackbody Planck made a radical assumption that the hot, glowing object could emit (or absorb) only certain quantities of energy: • E = nhν • Where E is the energy of the radiation, ν is its frequency, n is a positive integer (1, 2, 3 and so on) called a quantum number and h is a proportionality constant now called Planck’s constant and has value = 6,626x10-34 J.s
  • 36. The Photoelectric Effect and The Photon Theory of Light • Current flow when monochromatic light of sufficient energy shines on a metal plate • The photoelectric effect had certain features: the presence of a threshold frequency and the absence of a time lag • Carrying Planck’s idea of packeted energy, Einstein proposed that light itself is particulate, occurring as quanta of electromagnetic energy, called photon • In terms of Planck’s work we can say that each atom changes its energy whenever it absorbs or emits one photon, one “particle” of light, whose energy is fixed by its frequency • Ephoton = hν = ∆Eatom
  • 37. Bohr's model for hydrogen atom • Niels Bohr adopted Planck’s assumption and explained these phenomena in this way: 1.Electrons in an atom can only occupy certain orbits (corresponding to certain energies). • Niels Bohr adopted Planck’s assumption and explained these phenomena in this way: 2. Electrons in permitted orbits have specific, “allowed” energies; these energies will not be • Niels Bohr from the Planck’s assumption and radiated adopted atom. explained these phenomena in this way: 3.Energy is only absorbed or emitted in sucha way as to move an electron from one “allowed” energy state to another; the energy is defined by E = hν
  • 38. Bohr's model for hydrogen atom • Lyman series The atom will remain in the excited state for a short time before emitting a photon and returning to a lower stationary state. All hydrogen atoms exist in n = 1 (invisible). • Balmer series When sunlight passes through the atmosphere, hydrogen atoms in water vapor absorb the wavelengths (visible). H atoms exist in n=2. Similarly it will fill in: • Paschen From n=4,5……… till n=3 • Brackutt from n=5,6……… till n=4 • Pfund from n=6,7……… till n=5
  • 39. Bohr's model for hydrogen atom The energy absorbed or emitted from the process of electron promotion or demotion can be calculated by the equation: 1 1 ∆E = −RH ( nf2 - n2 ) i where RH is the Rydberg constant, 2.18 × 10−18 J, and ni and nf are the initial and final energy levels of the electron.
  • 40. Limitation of Bohr’s Model • Bohr’s model only works for hydrogen atom and other one-electron (hydrogen-like) ionic species, such as He+, Li2+, etc. • For H-atom, electronic energy: En = -2.178 x 10-18 J(1/n2) • For other one-electron particle: En = -2.178 x 10-18 J(Z2/n2) – (Z = atomic number) • Bohr’s model cannot explain atomic spectra of atoms having more than one electron; • Bohr’s model also cannot explain why each line in the hydrogen spectrum appears as double-lines if the discharge tube is placed in magnetic field. • Perhaps his treatment of electron as having only particulate properties is insufficient.
  • 41. Aufbau Principle • As protons are added one by one to the nucleus to build up the elements, electrons are similarly added to these hydrogen-like orbital. • H : 1s1, He : 1s2, Li : 1s2 2s1, Be : 1s2 2s2 • B : 1s2 2s2 2p1, C : 1s2 2s2 2p2.
  • 42. Hund’s Rule • The lowest energy configuration for an atom is the one having the maximum number of unpaired electrons allowed by the Pauli principle in a particular set of degenerate orbitals. • N : 1s2 2s2 2p3, O : 1s2 2s2 2p4, • F : 1s2 2s2 2p5, Ne : 1s2 2s2 2p6, • Na : 1s2 2s2 2p63s1 OR [Ne] 3s1
  • 43. Heisenberg Uncertainty Principle x = position h mv = momentum ∆ x ⋅ ∆ (m v ) ≥ h = Planck’s constant 4π The more accurately we know a particle’s position, the less accurately we can know its momentum. Both the position and momentum of a particle can not be determined precisely at a given time. The uncertainty principle implies that we cannot know the exact motion of the electron as it moves around the nucleus.
  • 44. Quantum Numbers (QN) • The principal quantum number (n) is a positive integer (1, 2, 3 and so forth). It indicates the relative size of the orbital and therefore the relative distance from the nucleus of the peak in the radial probability distribution plot Principal QN (n = 1, 2, 3, . . .) • The angular momentum number (l) is an integer from 0 to n- 1. it is related to the shape of the orbital and is sometimes called orbital-shape quantum number Angular Momentum QN (l = 0 to n  1) • The magnetic quantum number (ml) is an integer from –l through 0 to +l. it prescribes the orientation of the orbital in the space around the nucleus and is sometimes called the orbital- orientation quantum number Magnetic QN (ml = l to l including 0)
  • 45. Quantum Numbers (QN) • Spin Quantum Number, (s)This led to a fourth quantum number, the spin quantum number, ms. Electron Spin QN has only 2 allowed values: +1/2 and −1/2.
  • 46. Pauli Exclusion Principle • No two electrons in the same atom can have exactly the same energy. • No two electrons in the same atom can have identical sets of quantum numbers. (n, l, ml, ms). • Therefore, an orbital can hold only two electrons, and they must have opposite spins.

Editor's Notes

  1. Figure 2.11