Extremal LatticesExplores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.
Periodic Trends and ExceptionsExplores periodic trends, exceptions to the Aufbau principle, and the variations in element properties across the periodic table.
Periodic Table and StoichiometryCovers the periodic table, atomic properties, isotopes, stoichiometry, and chemical reactions, explaining their relationships and principles.
Atomic Structure: Periodic TrendsDiscusses the periodic trends in atomic structure, including atomic radius, ionization energy, electron affinity, and electronegativity.
Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Electronic Structure of AtomsCovers the electronic structure of atoms, including wave functions, angular momentum, the periodic table, and atomic radii trends.
Periodic Table of the ElementsExplores the periodic table of the elements, including Fe, Co, Ni, Cu, Zn, Ru, Rh, Pd, Ag, Cd, Os, Ir, Pt, Au, Hg, Ds, Rg, Uub.