Step 1: Mole calculations and mass spectra (Topics 1.1-1.2)Start with the mole concept. Practice converting grams to moles to particles using n = m/M and dimensional analysis until the unit cancellation is automatic. Then work through mass spectrum problems: read peak positions for isotopic masses, read heights for relative abundances, and calculate weighted average atomic mass. Check your answer against the periodic table value.
Step 2: Empirical formulas and mixture composition (Topics 1.3-1.4)Practice the full empirical formula algorithm: assume 100 g, convert mass percents to moles, divide by the smallest mole value, and scale to whole numbers. Then review how elemental analysis applies to mixtures, focusing on how mass data reveals composition and purity rather than a fixed formula.
Step 3: Electron configurations and Coulomb's law (Topic 1.5)Write ground-state configurations for at least 10 elements and their common ions using full notation and noble gas shorthand. Practice identifying valence and core electrons. For each configuration, use Coulomb's law to explain why electrons in the 1s subshell have higher ionization energy than electrons in the 2s subshell.
Step 4: Photoelectron spectroscopy (Topic 1.6)Work through PES spectrum interpretation problems. For a given spectrum, assign each peak to a subshell, count electrons from peak heights, and reconstruct the electron configuration. Practice explaining why peaks shift position when comparing two elements in the same period.
Step 5: Periodic trends and ionic compounds (Topics 1.7-1.8)Review the four main trends (atomic radius, ionization energy, electronegativity, electron affinity) and practice writing explanations that cite Z_eff, shielding, and Coulomb's law rather than just stating the direction. Finish by predicting ion charges from group number, writing ionic compound formulas, and explaining reactivity differences between groups using valence electron count.