Atomic Structure and Bonding: Exercises and Questions, Exercises of Engineering

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7/24/2015
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Art Ian G. Bautista, ECE, ECT
The type of bond allows us to explain a
material’s properties.
Example: Consider carbon which may exist as
both graphite and diamond. Whereas graphite
is relatively soft and has a ‘‘greasy’’ feel to it,
diamond is the hardest known material. This
dramatic disparity in properties is directly
attributable to a type of interatomic bonding
found in graphite that does not exist in
diamond.
1. Name the two atomic models cited, and note
the differences between them.
2. Describe the important quantum-mechanical
principle that relates to electron energies.
3. (a) Schematically plot attractive, repulsive,
and net energies versus interatomic
separation for two atoms or ions.
(b) Note on this plot the equilibrium
separation and the bonding energy.
4. (a) Briefly describe ionic, covalent, metallic,
hydrogen, and van der Waals bonds.
(b) Note what materials exhibit each of these
bonding types.
Each atom consists of a very small nucleus
composed of protons and neutrons, which is
encircled by moving electrons.
Both electrons and protons are electrically
charged, the charge magnitude being 1.60 x
10-19 C, which is negative in sign for electrons
and positive for protons; neutrons are
electrically neutral.
Protons and neutrons have approximately the
same mass, 1.67 x 10-27 kg,
Each chemical element is characterized by the
number of protons in the nucleus, or the
atomic number (Z).
The atomic mass (A) of a specific atom may
be expressed as the sum of the masses of
protons and neutrons within the nucleus.
Although the number of protons is the same
for all atoms of a given element, the number of
neutrons (N) may be variable. Thus atoms of
some elements have two or more different
atomic masses, which are called isotopes.
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Art Ian G. Bautista, ECE, ECT  The type of bond allows us to explain a material’s properties. Example: Consider carbon which may exist as both graphite and diamond. Whereas graphite is relatively soft and has a ‘‘greasy’’ feel to it, diamond is the hardest known material. This dramatic disparity in properties is directly attributable to a type of interatomic bonding found in graphite that does not exist in diamond.

  1. Name the two atomic models cited, and note the differences between them.
  2. Describe the important quantum-mechanical principle that relates to electron energies.
  3. (a) Schematically plot attractive, repulsive, and net energies versus interatomic separation for two atoms or ions. (b) Note on this plot the equilibrium separation and the bonding energy. 4. (a) Briefly describe ionic, covalent, metallic, hydrogen, and van der Waals bonds. (b) Note what materials exhibit each of these bonding types.  Each atom consists of a very small nucleus composed of protons and neutrons, which is encircled by moving electrons.  Both electrons and protons are electrically charged, the charge magnitude being 1.60 x 10 -^19 C, which is negative in sign for electrons and positive for protons; neutrons are electrically neutral.  Protons and neutrons have approximately the same mass, 1.67 x 10-^27 kg,  Each chemical element is characterized by the number of protons in the nucleus, or the atomic number (Z).  The atomic mass (A) of a specific atom may be expressed as the sum of the masses of protons and neutrons within the nucleus. Although the number of protons is the same for all atoms of a given element, the number of neutrons (N) may be variable. Thus atoms of some elements have two or more different atomic masses, which are called isotopes.

Bohr Atomic Model  Electrons are assumed to revolve around the atomic nucleus in discrete orbitals, and the position of any particular electron is more or less well defined in terms of its orbital.  Another important quantum-mechanical principle stipulates that the energies of electrons are quantized; that is, electrons are permitted to have only specific values of energy. An electron may change energy, but in doing so it must make a quantum jump either to an allowed higher energy (with absorption of energy) or to a lower energy (with emission of energy). Often, it is convenient to think of these allowed electron energies as being associated with energy levels or states. These states do not vary continuously with energy; that is, adjacent states are separated by finite energies. Electron States

  • values of energy that are permitted for electrons.  Bohr model was eventually found to have some significant limitations because of its inability to explain several phenomena involving electrons. A resolution was reached with a wave- mechanical model , in which the electron is considered to exhibit both wavelike and particle-like characteristics. With this model, an electron is no longer treated as a particle moving in a discrete orbital; but rather, position is considered to be the probability of an electron’s being at various locations around the nucleus. In other words, position is described by a probability distribution or electron cloud. Comparison of the (a) Bohr and (b) wave mechanical atom models in terms of electron.

 This principle stipulates that each electron state can hold no more than two electrons , which must have opposite spins. Thus, s , p , d , and f subshells may each accommodate, respectively, a total of 2, 6, 10, and 14 electrons;  Not all possible states in an atom are filled with electrons. For most atoms, the electrons fill up the lowest possible energy states in the electron shells and subshells, two electrons (having opposite spins) per state. Schematic representation of the filled energy states for a sodium atom. Ground State

  • When all the electrons occupy the lowest possible energies in accord with the foregoing restrictions.  Structure of an atom  represents the manner in which energy states are occupied.  In the conventional notation, the number of electrons in each subshell is indicated by a superscript after the shell–subshell designation.

Valence electrons

 electrons that occupy the outermost shell. Stable Electron Configurations

  • atoms whose states within the outermost or valence electron shell are completely filled. Normally this corresponds to the occupation of just the s and p states for the outermost shell by a total of eight electrons.  Some atoms of the elements that have unfilled valence shells assume stable electron configurations by gaining or losing electrons to form charged ions, or by sharing electrons with other atoms. This is the basis for some chemical reactions, and also for atomic bonding in solids.  elements have been classified according to electron configuration  elements are situated, with increasing atomic number in seven horizontal rows called periods.  The arrangement is such that all elements arrayed in a given column or group have similar valence electron structures, as well as chemical and physical properties. These properties change gradually, moving horizontally across each period and vertically down each column.

alkali and the alkaline earth metals Groups IIIB through IIB  which have partially filled d electron states and in some cases one or two electrons in the next higher energy shell.  are termed the transition metals transition metals Groups IIIA, IVA, and VA  display characteristics that are intermediate between the metals and nonmetals by virtue of their valence electron structures.  B, Si, Ge, As, etc. Electropositive  elements under metal classification.  indicating that they are capable of giving up their few valence electrons to become positively charged ions. Electronegative  they readily accept electrons to form negatively charged ions, or sometimes they share electrons with other atoms.