Notes from Transcript on Electron Shells and Bonding
Electron Shell Capacities
Basis: Electron shells (K, L, M, N, O, P) have capacities given by the formula for the electron capacity of a shell: 2n^2, where n is the principal quantum number (energy level).
Shells and capacities (from Table 2.2):
- n=1 (K): 2 electrons
- n=2 (L): 8 electrons
- n=3 (M): 18 electrons
- n=4 (N): 32 electrons
- n=5 (O): 50 electrons
- n=6 (P): 72 electrons
Shell labels correspond to letters: K, L, M, N, O, P.
Observations:
- The first shell can hold up to 2 electrons.
- The second shell can hold up to 8 electrons, and so on following the 2n^2 rule.
- When an atom has a full outer shell, it is more chemically stable.
- Elements with complete outer shells are inert (chemically inactive): helium (He) and neon (Ne).
- Atoms with incomplete outer shells (e.g., hydrogen, carbon, oxygen) are chemically active and tend to gain, lose, or share electrons to achieve a full outer shell.
- The forces driving electron behavior lead to bond formation between atoms.
Planetary model and shell filling (concepts illustrated in Fig. 2.10):
- The first electron shell (n=1) can hold up to 2 electrons.
- Hydrogen (atomic number Z=1) has one electron; thus its first shell is not full.
- Helium (Z = 2) has two electrons; its first shell is full.
- Lithium (Z = 3) has three electrons; first shell is full (2), second shell has 1 electron.
- The second shell can hold up to 8 electrons.
- Carbon (Z = 6) has first shell full (2) and second shell with 4 electrons.
- Neon (Z = 10) has both first and second shells full (2 + 8).
- The stability pattern: atoms are most stable when their outer shell is full.
Inert vs active tendencies (outer-shell completeness):
- Helium and neon: outer shells complete → chemically inactive (inert).
- Hydrogen, carbon, oxygen: outer shells incomplete → chemically active; they tend to complete their outer shell by bonding.
- The drive to complete outer shells explains bonding and molecular formation.
Electron configurations (illustrative examples from the figures):
- Hydrogen (H, Z=1): outer shell not complete (1 electron total).
- Helium (He, Z=2): outer shell complete (2 electrons in the first shell).
- Lithium (Li, Z=3): distribution 2 in the first shell, 1 in the second.
- Carbon (C, Z=6): distribution 2 in the first shell, 4 in the second.
- Neon (Ne, Z=10): distribution 2 in the first shell, 8 in the second (both shells complete).
- Sodium (Na, Z=11): distribution 2 in first, 8 in second, 1 in third shell.
- These distributions illustrate why some atoms are reactive and how bonding occurs to reach full outer shells.
Visual references (Fig. numbers described):
- Fig. 2.9: Three-dimensional and planetary model depictions of nitrogen’s electron shells (principal quantum numbers).
- Fig. 2.10: Diagram of atoms showing electron shells (general illustration of shell filling).
- Fig. 2.11: A molecule of oxygen (O₂) with a planetary model, a 3D model, chemical formula, and a line drawing; shows a double covalent bond (two shared electrons).
- Fig. 2.12: Carbon dioxide (CO₂) – multiple representations; carbon shares two electrons with each oxygen; two double covalent bonds.
- Fig. 2.13: Sodium chloride (NaCl) – ionic bonding; electron transfer from Na to Cl; crystal formation; environment in body fluids.
Molecules, Compounds, and Bonding
A molecule forms when atoms are joined together by chemical bonds.
- If two or more atoms of the same element join, the result is a molecule of that element (e.g., O₂).
- Example: Oxygen gas exists as a molecule of two oxygen atoms; chemical formula is ext{O}_2 where the subscript 2 denotes the number of atoms in the molecule.
- Molecules can also be formed from atoms of different elements (compounds):
- Carbon dioxide: chemical formula ext{CO}_2; one carbon atom bonded to two oxygen atoms.
- Sodium chloride: chemical formula ext{NaCl}; a molecule consisting of one sodium atom bonded to one chlorine atom.
A molecule is the smallest unit of a compound that retains the properties of that compound.
- Important: the properties of a compound can be very different from the properties of the elements it is made from (e.g., table salt differs from sodium metal and chlorine gas).
Species examples from the figures:
- Oxygen (O₂): two oxygen atoms sharing electrons; double covalent bond represented by two lines between atoms.
- Carbon dioxide (CO₂): carbon shares two electrons with each oxygen; forms two double covalent bonds (O=C=O).
- Sodium chloride (NaCl): formed via ionic bonding; electrons transferred from Na to Cl; in aqueous environments, this leads to Na⁺ and Cl⁻ ions; NaCl crystals can form cube-shaped crystals.
Bond types:
- Covalent bonds: atoms share electrons (e.g., O₂ with a double covalent bond; CO₂ with two double covalent bonds).
- Ionic bonds: electrons transferred between atoms, creating oppositely charged ions that attract (e.g., Na⁺ and Cl⁻ forming NaCl).
In aqueous environments (e.g., within the body): ionic bonds are frequently formed as electrons are transferred from sodium ions to chloride ions, contributing to the formation and stability of salts like NaCl in solution.
Mixtures
- Most matter is found as mixtures of two or more substances.
- Three types of mixtures are common: solutions, colloids, and suspensions (as illustrated in Fig. 2.14).
- Key concept: mixtures differ from pure compounds in composition and properties; the components can retain their own properties within a mixture.
Connections to Principles and Real-World Relevance
- Stability and reactivity:
- Atoms seek to complete their outer electron shells; this drives bond formation and chemical reactivity.
- Inert gases (He, Ne) illustrate stability due to full outer shells; this explains their low reactivity.
- Structure and properties:
- The properties of a compound can be very different from the properties of its constituent elements (e.g., NaCl is table salt, very different from metallic sodium or chlorine gas).
- Bonding types and biological relevance:
- Covalent bonding (e.g., O₂, CO₂) underpins the structure and function of many biological molecules.
- Ionic bonding (e.g., NaCl) is common in physiological contexts and affects solubility, electrical charge, and interactions in body fluids.
- Foundational numbers and formulas:
- Electron shell capacity is governed by 2n^2, linking quantum numbers to chemical behavior.
- Shell labeling (K, L, M, N, O, P) correlates with principal quantum numbers ( n=1,2,3,4,5,6 ).
Summary and Key Takeaways
- Electron shell capacities increase with shell number according to 2n^2, yielding capacities: K=2, L=8, M=18, N=32, O=50, P=72.
- Atoms are most stable when their outermost shell is full; inert gases like He and Ne have full outer shells.
- Bond formation (covalent or ionic) arises from the drive to achieve full outer electron shells; this explains the variety of substances and their properties.
- Molecules are the smallest units of compounds that retain compound properties; examples include O₂, CO₂, and NaCl.
- Mixtures (solutions, colloids, suspensions) are pervasive in matter and differ from pure substances in composition and properties.