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CHEM 161 Atomic Orbitals Worksheet Name ________________ Partners ________________ INSTRUCTIONS: Complete the worksheet with your group using a black or blue pen or pencil. Be prepared to share your answers. When answered are shared with the rest of the class, use only a red pen. 1. What are the characteristic shapes of s, p, and d orbitals that distinguish them from each other? 2. Which quantum number identifies the shape of an orbital? 3. As the principal quantum number increases what happens to the size of a particular type of orbital, eg., the s orbitals? 4. Which quantum numbers determine the energy of an orbital in an atom with more than one electron? 5. For each value of n = l, 2, and 3, what are the possible values for l, and what are the labels for the orbitals with these I values? = __ 2_ 3 __ 6. For each value of l = 0, 1, and 2, what are the possible values for ml, and what are the labels for the orbitals with these ml values? 1 2 __ 7 , Which orbitals have a plane that includes the origin where the probability of finding the electron is zero? The origin is where the axes cross. These planes are called angular nodal planes. A node is the place where a wave has zero amplimde. 8. What is the relationship between the value ofthe azimuthal quantum number and the nmnber l of angular nodal planes? _ 9. In addition to angular nodal planes, there are radial nodes. These nodes occur for all angles at some distance from the nucleus. Which orbitals have radial nodes? 10. For a given value of n, the principal quantum number, how many total nodes are there in an orbital? , Exsncrsss l. The total number of nodes in an orbital is equal to n—l. This number is split between radial nodes and angular nodal planes. Show that your answers to Key Questions 7 and 9 are consistent with this fact. 2. For n = 4, identify the possible values for I. 3. For I = 3, identify the possible values for ml. ~ 4. Identify the number of angular nodes in an I = 3 orbital. Activity 19 —The Description of Electrons in Atoms 93 5. For ls, 2s, and 3s orbitals each, identify the a) total number of nodes b) number of angular nodes and the number of radial nodes ‘ 6. Identiiir the relationship between the total number of nodes and the energy ofthe orbital. 7. Identify the total number of nodes, the number of angular nodes, and the number of radial nodes for a 2p orbital. 8. Identify the total number of nodes, the number of angular nodes, and the number of radial nodes CHEM 161 - F2017 Dr. Overway Page 1 of 2 840965961 General Chemistry I for a 3p orbital. 9. Identify the total number of nodes, the number of angular nodes, and the number of radial nodes for a 3d orbital. 10. Determine the total number of orbitals with n = 4. Write the orbital labels for all of these orbitals. CHEM 161 - F2017 Dr. Overway Page 2 of 2 840965961 General Chemistry I