INSTRUCTIONAL OBJECTIVES:

1) DESCRIBE THE ATOMIC THEORY

2) DETERMINE ATOMIC MASS, ATOMIC NUMBER, MASS NUMBER, NAME, AND SYMBOL OF ISOTOPES

3) STATE THE RELATIONSHIP BETWEEN ATOMIC SPECTRA, QUANTUM NO., ATOMIC ORBITALS, AND ELECTRON ENERGY LEVELS

4) DESCRIBE PERIODIC RELATIONSHIPS OF ELEMENTS INCLUDING ATOMIC RADII, IONIZATION ENERGY, ELECTRON AFFINITY, AND OXIDATION STATE

 

ATOMIC STRUCTURE AND PERIODIC TABLE NOTES

I. Early Theories

      A) Continuous Theory of Matter(~400B.C.)

           1) matter is infinitely divisible

           2) matter is various mixtures of only 4 elements: earth, fire, water, and air

B) Atomic Theory of Matter(Democritus, ~400B.C.)

           1) matter is made of indivisible tiny particles, or “atomos

           2) different matter was made of different atoms

           3) motion of atoms gave matter all its properties

           4) not based on experiment, but on philosophical argument

                        5) rejected for relig. reasons

 

II. Modern Atomic Theory

      A) Law of Conservation of mass- “Mass is neither created nor destroyed in chemical change”-(Antoine Lavoisier)

            B) Law of Definite Composition- “The proportion by weight of elements in a chemical compound is constant”

                                                                  - (Joseph Proust)

Example:  in carbon dioxide, the mass proportion of C to O is always 3g:8g

      C) Dalton’s Atomic Theory - explained previous 2 laws

                        1) matter is made of tiny, indivisible atoms that cannot be created or  destroyed

           2) each element has atoms identical to each other in all properties; different elements are made of different atoms with different       properties

           3) chemical reactions are simple rearrangements of atoms from one combination to another, which are always in small whole     number ratios

           4) He used his theory to make a prediction(below)

      D. Law of Multiple Proportions- “If a pair of elements can form more than one compound, then the ratio of the mass of the first element that combines with a fixed mass of the second element form simple, whole-number ratios”

                  - (John Dalton)

 

 

Example: In carbon monoxide, the proportion of C to O is 3g:4g This means that the ratio of Oxygen in carbon dioxide to Oxygen in carbon monoxide is

 

 

 

      E) Discovery of Cathode Rays- (William Crookes, 1870)

            His cathode ray tube consisted of a vacuum tube with two metal plates hooked to electric current

 

 

 

 

 

 

 

 

            Another experiment showed the following results

 

 

 

 

 

 

 

 

 

 

Crookes’ Tube Experiment showed that:

           1) Rays originate from the (-) terminal(cathode) and travel to (+) terminal(anode)

           2) All matter can emit these cathode rays

                        3) Cathode rays carry (-) charge

      F) Discovery of electrons- (J.J. Thompson, 1897)

           1) Determined that cathode rays are made of (-) particles he called electrons, symbol e

           2) Calculated the charge to mass ratio, e/m:

           e/m = -1.76 x 108 Coulombs/g by measuring the deflection of

           the electrons in electric and magnetic fields

           3) He proposed the “Plum-Pudding” model of the atom:

                        (-) charged electrons float in a “sea” of positively charged fluid , composition  unknown

 

 

 

 

 

 

      G) Mass of Electron determined-(Robert Millikan, 1909)

            His “oil-drop” experiment:

 

 

 

 

 

 

 

 

      Millikan’s Oil-Drop Experiment showed:

           1) x-rays produced electrons on the oil drops

           2) the mass of the drops could be balanced by the electric force from the plates

           3) -1.6 x 10-19 C was the smallest charge he calculated

           could be on any drop. He concluded this was value for the charge on one electron, e

           4) Using Thompson’s e/m ratio, he calculated the mass of the electron:

e =-1.76x108C = -1.6x10-19 C

m                    g            me

so, me =

 

 

      H) Discovery of Nucleus and Proton -(Ernest Rutherford, 1909-1919)

            Rutherford’s Gold-Foil Experiment:

 

 

 

 

 

 

 

 

      The gold-foil experiment showed:

           1) over 99.9% of the alpha particles passed through the gold atoms without change

           2) of the other .1%, most showed only small deflections from their original path

           3) about 1 in 10,000 alphas

           were totally reflected by the gold foil

                        4) Rutherford concluded that the atom was mostly empty space, with most of its mass concentrated in a tiny, + charged center he                                   called the nucleus. The electrons orbited around the nucleus.

           5) In 1919, Rutherford discovered the (+) charged particles in    cathode tubes that gave nucleus its + charge. 

                        Charge was = but opposite to charge on e, and mass was over 1800 times larger than me.  He called the new particle the proton,                           symbol p

                        6) Major problem with the “Planetary” model of the atom-  Instability.  All atoms would emit radiation and quickly collapse                                 according to the known laws of physics.

 

 

 

 

 

 

 

 

      I) Atomic Number and Mass Number

           1) Henry Mosely(1913) found that the number of protons in an element in an x-ray tube(like a Crookes tube)

                        # protons =   k  (x-ray frequency)1/2

 

           The number of protons in an atom’s nucleus is called its atomic number, symbol Z.

           Z is with element in per. table

                        2) James Chadwick(1932) discovered the neutron (symbol n) also in nucleus.  Its mass is ~ mass of p, but carries 0 charge.

 

All the known subatomic particles discovered by the time of Chadwick:

 

Particle                      Charge                       Mass

electron                    

proton                       

neutron                     

                        A “u  oramu” is 1 atomic mass unit.

 

           i) The sum of proton + neutron mass is nearly the entire mass of the atom.  This mass is called the mass number, symbol A.

                       A = #p + #n

           ii) Units are amu, or u(for atomic mass units).

           1 amu = 1.66 x 10-24 g

 

           3) All atoms of the same element have same #p, #e, and atomic number Z.

     i) Isotopes, with different # neutrons are possible.

                 Example: hydrogen has 3 isotopes, called-

    

                        protium:

 

           deuterium:

 

           tritium:

 

All three isotopes have the same atomic number, but different masses.

                        ii) Nuclear symbols of isotopes use Z and A numbers

 

 

 

 

 

 

 

 

 

           So, symbols of 3 hydrogen isotopes are:

 

                        protium           deuterium         tritium

 

 

 

 

                        iii) Names of isotopes are based on their mass no., A

                        isotope name = (element name) - (mass no.)

 

     For the 3 hydrogen isotopes,

     names are

 

 

 

 

 

 

     iv) To find the # of neutrons in an isotope, subtract the atomic no. Z(#p) from mass no. A(#p + #n)

     # neutrons = A - Z

 

 

Example: Compare the no. of neutrons in carbon-12 and carbon-14:

     Z = 6 for element carbon.

 

     A = 12 for carbon-12

           #n = A - Z =

 

 

     A = 14 for carbon-14

           #n = A - Z =

           Symbols for carbon-12 and 14:

 

 

 

 

 

           4) Atomic Masses of elements in the periodic table

     i) If there are 2 or more naturally occurring isotopes of an element, then the average mass, called the atomic mass, is displayed

     ii) The atomic mass is calculated as follows:

 

     We must know the masses and abundances of each isotope of the element.

Example: Boron is composed of 2 isotopes, boron-10 and boron-11.

isotope                             abundance                 mass

boron-10                    19.8%                         10.0

boron-11                    80.2%                         11.0

 

The average, or atomic mass is calculated by the formula

                  at.mass = sum of (dec.%)(mass)

 

                  at.mass = S (dec. %) x (mass)

                  at.mass = (            )(            )+(             )(             )

 

                   =

 

In the periodic table, the atomic mass of boron is reported 10.8

 

 

 

 

 

     

 

 

 

 

 

J. Quark Theory

           1) particle physicists using colliders have shown that protons and neutrons are not fundamental particles

           2) There are actually >100 known particles + antiparticles

            Example: p, n, p(pion), L(lambda), S(sigma), X(xi), etc.

           3) To account for all of these, Murray Gell-Mann of Cal-Tech. proposed the Quark Model of subatomic particles.

                        Quark Theory states that particles like p, n, etc. are made of various combinations of quarks, which total 6 in number:

 

 

 

 

 

 

Quark                   charge                        mass (amu)

 

up(u)                     +2/3                            1/3

down(d)                -1/3                             1/3

charm(c)              +2/3                            75

strange(s)            -1/3                             10

top(t)                     +2/3                            ~ 9000

   bottom(b)                -1/3                             215

 

           4) All of the known particles except leptons (electrons) and bosons(photons, or light) are made of either 2 or 3 quarks.

                        Example: protons are made of 3 quarks; 2 up, and 1 down

 

 

 

 

 

                        neutrons are made of 3 quarks: 2 down, and 1 up

 

 

 

 

 

           The quark model now explains the existence of all the over 100 known subatom. particles

           5) The Strong Nuclear Force holds quarks together, and protons and neutrons in the nuclei of atoms. Other forces are: 

           Weak Nuclear Force- responsible for nuclear decay;

                        Electric Force- responsible for electricity, chemical bonding;

                        Gravity- responsible for weight, orbits