Ch. 7 – Atomic Structure and Periodicity In this chapter we will see that the modern theory of atomic structure… Quantum mechanics was developed to account for … 7.1 Electromagnetic Radiation Electromagnetic radiation Ex’s Wavelength ( ) Frequency ( ) Eqn: <<Draw pictures that depict the meaning of wavelength and frequency and how they relate. E.g. Fig 7.1>> Sample exercise 7.1 – Frequency of Electromagnetic Radiation (complete below) 7.2 Nature of Matter At the end of the 19th century the idea prevailed that … MATTER 1) 2) 3) ENERGY 1) 2) 3) 1 Max Plank Studied… Found … Postulated… ΔE = Where n = h= Had assumed energy of matter was __________________. Energy is in fact ______________. which means… KEY: This means energy has __________________ properties. Sample Exercise 7.2 – The energy of a photon (complete below) Albert Einstein Proposed… Suggested that electromagnetic radiation can be viewed as… Ephoton = Photoelectric effect Observations: 1. Studies in which the frequency of the light is varied show that no electrons are emitted by a given metal below a specific threshold frequency, o 2. For light with frequency lower than the threshold frequency, no electrons are emitted regardless of the intensity of the light. 3. For light with frequency greater than the threshold frequency, the number of electrons emitted increases with the intensity of the light. 4. For light with frequency greater than the threshold frequency, the kinetic energy, of the emitted electrons increases linearly with the frequency of the light. KEY: These observations can be explained by assuming… (and that the threshold frequency represents the minimum energy required to remove the electrons from the metal’s surface.) Light intensity is a measure of ______________ 2 Related development, famous eqn: E= Main significance: ________________________________ Thus we can calculate the mass of a ___________. Note: This is only in a ___________ sense; there is no ______ mass. Summary of Plank and Einstein 1. 2. De Broglie Eqn: = Key: it allows us to calculate the ________________________ Sample Exercise 7.3 – Calculations of Wavelength (complete below) (Take note of the relative ’s you just calculated. How do they compare in size?) Diffraction – Ex’s ____________ directed at a NaCl crystal produce ______________. KEY: diffraction patters can only be explained ___________________________. Thus diffraction provides a test for deBroglie’s postulate that ____________________ Diffraction patterns occur most efficiently when … When a beam of __________ were directed at a Ni crystal, Davisson and Germer observed _________________________ which verified _______________________________________________. KEY: This means electrons ________________________. 3 SUMMARY: Electromagnetic Radiation ________________________________. Electrons _______________________. All matter exhibits… 7.3 The Atomic Spectrum of Hydrogen Fig 7.6 Impt. Expt. – study of the ________________ ___________________________ Hydrogen atoms release excess energy by __________________________ to produce _______________________. Significance: …in other words: ΔE = 7.4 The Bohr Model Bohr developed the first ________________ for the hydrogen atom. He proposed… He calculated… o With the assumption that angular momentum… Bohr’s model gave the hydrogen atom energy levels consistent with _________________. Fig. 7.8 4 Important equation is the expression for the energy levels available to the electron in the hydrogen atom: E= n= Z= Negative sign means… Bohr calculated hydrogen atom energy levels that … Calculate the energy of a hydrogen atom when its electron is… at n = 6 at n = 1 Calculate ΔE when the electron falls from n = 6 to n = 1. Calculate the wavelength of this emitted photon. Sample Exercise 7.4 – Energy Quantization in Hydrogen Two Points of emphasis for Bohr’s model: 1. 2. In the space below, derive the general equation for determining the energy change when an electron moves from one level to another. (pg. 287) Sample Exercise 7.5 – Electron Energies NOTE: Bohr’s model applied to other atoms ___________________. KEY: Bohr’s model paved the way for later theories. Electrons do NOT _____________________________. 5 Balmer, Lyman, and Paschen Series: 7.5 The Quantum Mechanical Model of the Atom Werner Heisenberg – Louis deBroglie originated the idea that… Erwin Schrodinger gave emphasis to… Electron bound to the nucleus is similar to __________________________. KEY: there are limitations on ____________________________________. Considering the wavelike properties of the electron is a possible explanation for the observed _____________________________________. Schrodinger’s eqn: When the equation is analyzed _________ solutions are found. Each solution consists of a ______________ that is characterized by a ___________________________ (for an electron). A specific wave function is often called an _________________. An orbital is NOT __________________. The wave function gives us _____ information about the ______________ ______________________________________. Heisenberg Uncertainty Principle – Eqn: What this equation really says is… 6 The physical meaning of a wave function Psi itself has ___ easily visualized meaning. psi2 indicates __________________________________________. Eqn: psi2 is conveniently represented as a __________________________. Fig. 7.11 This is of a hydrogen 1s wavefunction The total probability of finding the electron at a particular distance is called ________________________________. Fig. 7.12 The maximum in the curve occurs because of the _____________________. 1. 2. Orbitals usually described as the radius of the sphere that encloses _____% of the total electron probability. 7 7.6 Quantum Numbers 1st number: 2nd number: 3rd number: Sample Exercise 7.6 – Electron subshells (complete below) 7.7 Orbital Shapes and Energies Fig. 7-13 Methods of representing an orbital 1. 2. nodes/nodal surfaces – Orbital s p d f # nodes p-orbitals (fig. 7.14) 2px 2py 2pz Surfaces of orbitals _________________ as the value of n increases. 8 Degenerate – Ex. All 3d orbitals are degenerate Fig. 7.18 E 4th Quantum Number: Pauli Exclusion Principle – Which means an orbital can only…. 9 7.9 Polyelectronic Atoms Three energy contributions are important: 1. 2. 3. Electron correlation problem – We treat electrons as if it were moving in a _____________________________ that is the net results of ______________________________ and the ____________________________ of all the ____________________. Each electron is _______________________ from nuclear charge by the _________________________________. Hydrogen-like orbitals Have the same ___________________ Have different _____________________________ due to the interplay between ____________________________ and ___________________________. Hydrogen: Polyelectronic atoms: Ens Enp End Enf Ens Enp End Enf The hump of electron density that occurs in the _______________ very near the nucleus means that although an electron in the 2s orbital spends most of its time a little farther from the nucleus than does an electron in the 2p orbital, it spends a small but very significant amount of time very near the nucleus. o We say the 2s electron ________________ the nucleus more than the ______________ in the ___________________. 10 This penetration effect causes and electron in the 2s orbital to be ______________________________________________________ than an electron in the 2p orbital. The 2s orbital is _________________________ than the 2p orbitals for a polyelectronic atom In general, the more effectively an orbital allows its ____________________ ______________________________ the shielding electrons to be ______________________________________, the _____________ is the energy of that orbital. Fig. 7.22 7.10 The History of the Periodic Table Johann Dobereiner – John Newlands – Julius Lothar Meyer Dmitri Ivanovich Mendeleev o Given most credit because… o Predicted the existence of … o Corrected several… o The only fundamental difference between our current periodic table and Mendeleev’s is… 7.11 The Aufbau Principle and the Periodic Table Aufbau Principle – Hund’s Rule – 11 Valence electrons – Core electrons – Key: the elements in the same group (vertical columns) have the same ____________________________. Unexpected electron configurations: Chromium Copper Electron filling rules: 1. Which can be explained by… 2. 3. 4. 5. Note that sometimes and electron occupies a 5d orbital instead of a 4f orbital because… Note that sometimes and electron occupies a 5d orbital instead of a 4f orbital because… The group labels for Groups 1A, 2A, 3A, 4A, 5A, 6A, 7A, and 8A indicate… The groups 1A, 2A, 3A, 4A, 5A, 6A, 7A, and 8A are called 7.12 - Periodic Trends in Atomic Properties Ionization Energy – I1 I2 I3 I4 (use <, >, or = signs between each) Because…. First Ionization energies _______ as we go across a period because… _______ as we go down a group because… Discontinuities: 12 Sample Exercise 7.8 The first IE for phosphorus is 1060 kJ/mol, and that for sulfur is 1005 kJ/mol. Why? Sample Exercise 7.9 Which atom has the largest 1st IE, and which one has the smallest second IE? Explain your choices. Electron Affinity – Note: Many books define it as the energy ___________. The more negative the energy, the _________________________________. ______________________________ across periods because… N- vs. C- vs. OO2______________________________ down columns because… Table 7.7 Electron Affinities Of the Halogens Atom Electron Affinity (kJ/mol) Fluorine has a smaller electron affinity because… F Cl Br I Atomic Radius – Covalent radii – Metallic radii – _____________ across periods because… _____________ down columns because… 13 Sample Exercise 7.10 – Trends in Radii – Predict the trends in radius for the following ions: Be2+, Mg2+, Ca2+, Sr2+. 7.13 – The Properties of a Group: The Alkali Metals Information Contained in the Periodic Table: 1-3 Should be common knowledge by now. Write these down if desired. Pay close attention to 4. It’s filled with facts you need to know well. 1. 2. 3. 4. Alkali Metals Down columns Densities ____________ pp/bp ____________ First IE’s ____________ Atomic radii ____________ Ionic radii ____________ Ionic radii are ___________ than covalent radii - Most characteristic chemical property of metals is …. - Metal + nonmetal o Nonmetal acts as __________________ o Metal acts as ____________ 2 Na(s) + S(s) 6 Li(s) + N2 (g) 2 Na(s) + O2(g) 14 Expected trend in reducing ability: With water.. 2 M(s) + 2 H2O(l) The order of reducing ability is: Hydration Energies for Li+, Na+, and K+ Ions. Ion Hydration Energy (kJ/mol) Li+ Na+ K+ Hydration energy – Li atoms become Li+ ions more easily in _______________ than in ___________. Potassium appears to react more violently with water because… 15
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