Orbitals and Periodic Trends

Orbitals

  • Definition: An orbital is a region of space within an electron subshell where an electron with a specific energy is most likely to be found.

  • Shells and subshells indicate the net energy of an electron, which can be known precisely.

  • Orbitals indicate the location of an electron, but not with precise accuracy; rather, they represent volumes where electrons are likely to be found.

  • This concept arises from the quantum mechanical model.

  • Chemists prioritize knowing the energy of an electron precisely over its exact location.

Key Points to Remember

  • The maximum number of electrons in an orbital is two.

  • An s subshell can hold two electrons and has one orbital.

  • A p subshell can hold six electrons and has three orbitals.

  • A d subshell can hold ten electrons and has five orbitals.

Visualizing Orbitals

  • Four of the five d orbitals resemble a clover shape but are oriented in different planes.

  • The fifth d orbital looks like a p orbital with an inner tube around it.

  • F orbitals have complex shapes, described as resembling "sea monsters in horror movies."

  • There are three p orbitals, each on a different axis (px, py, pz), positioned 90 degrees apart.

Importance of Orbital Geometry

  • Understanding the geometries of orbitals is crucial in chemistry for determining how atoms bond and the shapes of molecules.

Orbital Diagrams

  • In orbital diagrams, electrons are symbolically placed in orbitals without drawing the actual shapes of the orbitals.

  • The Aufbau principle states that electrons are added to the lowest energy subshells first.

  • Hund's rule states that every orbital in a subshell is singly occupied with one electron before any one orbital is doubly occupied, and all electrons in singly occupied orbitals have the same spin.

Examples of Orbital Diagrams

Chromium
  • The lowest energy orbitals are on the left, and the highest energy orbitals are on the right.

  • Each line represents an orbital.

  • Labeling the orbitals is essential on tests.

  • Core electrons fill the lower energy orbitals.

  • Chromium prefers a half-filled d orbital.

Copper
  • Orbital diagrams can be drawn vertically with the lowest energy at the bottom and the highest energy at the top.

  • Copper prefers a completely filled d subshell.

Magnetism

  • Paramagnetic: Contains one or more unpaired electrons and is attracted to a magnetic field.

  • Diamagnetic: All electrons are paired, and it is not attracted to a magnetic field.

Examples

  • Chromium is paramagnetic because it has unpaired electrons.

  • Zinc is diamagnetic because all its electrons are paired.

  • Noble gases are diamagnetic.

  • Elements in group 2A and 2B are likely diamagnetic because they have filled s subshells.

Periodic Table and Electronic Structure

  • The periodic table is based on electronic structure and properties.

  • The group number indicates the number of valence electrons but not for transition metals.

Metals, Nonmetals, and Metalloids

  • Metals are typically shiny, conductive, and malleable.

  • Metalloids (e.g., silicon) are semiconductors, conducting electricity under certain conditions and are next to the darker line in the periodic table.

  • Hydrogen is a nonmetal, while lithium is a metal.

  • Beryllium is a metal.

  • Examples of metalloids include silicon, germanium, and antimony.

Periodic Trends

Octet Rule

  • Atoms gain or lose electrons to achieve a noble gas configuration.

Noble Gases

  • Noble gases (Group 8A) such as helium, neon, and argon are stable and exist as single atoms.

  • Helium's valence shell is shell 1, neon's is shell 2, and argon's is shell 3.

  • Noble gases have stable electron configurations.

  • The octet rule refers to having eight valence electrons, except for helium, which has two.

Ion Formation

  • Atoms form ions to obtain a noble gas configuration.

  • Group 1A elements form +1 cations, Group 2A form +2 cations, Group 6A form -2 anions, and Group 7A form -1 anions.

Isoelectronic

  • Ions that have the same electron configuration are isoelectronic.

Metallic Character

  • Metallic character increases as you go down a group and decreases as you go from left to right across a period.

Ionization Energy

  • Ionization energy is the energy required to remove an electron from an atom in the gas phase.

  • A(g) + energy \rightarrow A^+(g) + e^-

  • Metallic character usually corresponds with how easy it is to lose electrons

Trends

  • As you go down the group, generally it is easier to lose electrons. It decreases as you go down the group and increases as you go across the period.