He, Ne, and Ar have shells.

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5.111 Lecture Summary #8 Monday September 22, 2014 Readings for today: Section 1.14 Electronic Structure and the Periodic Table, Section 1.15, 1.16, 1.17, 1.18, and 1.20 - The Periodicity of Atomic Properties. (Same sections in 5th th and 4 ed.) Read for Lecture #9: Sections 2.1-2.3 Ionic Bonds, Sections 2.14-2.16 - Covalent Bonds, Section 2.5-2.6 Lewis Structures (Same sections in 5 and 4 ed.) th th Topics: I. The Periodic table / Periodic trends A. Ionization energy (IE) and Photoelectron spectroscopy B. Electron affinity (EA) I. THE PERIODIC TABLE / PERIODIC TRENDS 1869 Dmitri Mendeleev (Russian, 1834-1907) introduced a periodic table based on reoccurring physical properties and chemical properties of the elements. Some examples of grouping by properties: Li, Na, and K were originally grouped together in a column because they are all soft, malleable, reactive metals. He, Ne, and Ar were grouped together because of their inertness. Elements that are in the same column have related valence electron configurations: Li, Na, and K have valence e in an s-state. He, Ne, and Ar have shells. But column number does not determine all chemical/biological properties. A. IONIZATION ENERGY (IE) IE is the minimum energy required to remove an electron from an atom. IE refers to the first IE unless otherwise specified. IE = (binding energy) of the most weakly bound electron. Ionization energy definitions: B(1s 2 2s 2 2p 1 ) B + (1s 2 2s 2 ) + e E = IE = -E 2p IE º first IE: energy to remove an e from the HOAO (highest occupied atomic orbital). B + (1s 2 2s 2 ) + e E = IE 2 = -E 2s for B + IE 2 º second ionization energy. IE 2 is always higher than the first IE. B +2 (1s 2 2s 1 ) + e E = IE 3 = -E 2s for B +2 IE 3 º third ionization energy. 1

Figure to the right shows that successive ionization energies of a few different elements. Note the great increase in the energy required to remove an electron from an inner shell. Consider the energy required to remove electrons from the 2s orbital from B + versus B: B + (1s 2 2s 2 ) -> B 2+ (1s 2 2s 1 ) + e - E = IE 2 = B(1s 2 2s 2 2p 1 ) -> B + (1s 2 2s 1 2p 1 ) + e - E = IE 2s = Are these two E s equa l? A 2s-electron in the B ion has less shielding. The B ion + + therefore feels a Z eff and requires energy to be pulled away from the nucleus. Periodic trends in ionization energy: sources unknown. All rights reserved. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/help/faq-fair-use/ Across a row, IE. Z increases, but n (the shell) stays constant. The outermost e is bound more tightly to the nucleus and requires more E to be ejected. - Down a column, IE. Although Z increases as you go down a column, so does n. Shells are well-separated in space, so electrons in larger n are farther away from the nucleus. A large distance from the nucleus dominates over the increased Z, making electrons less strongly bound and therefore decreasing IE. General trends IE (kj/mol)! 2500 2000 1500 1000 500 H He! Be! Li! B! F! N! O! C! Ne! P! Mg! Na! Al! Si! S! Ar! Cl! 0 5 10 15 20 Atomic number, Z! Some glitches in the trend occur due to subshell structure: for example, IE Be IE B IE N IE O 0 2

The BE gained by increased Z in B doesn't The BE gained by increased Z in O compensate for extra energy required to doesn't compensate for repulsion reach p state, so IE of B lower than for Be. between 2 electrons in same orbital. PHOTOELECTRON SPECTROSCOPY (PES) IS USED TO DETERMINE IE VALUES! Similar concept to photoelectric effect! Consider that a 1e is removed from each subshell: - Ei = IE + K.E. IE = - (Recall for the photoelectric effect: Ei = f + K.E.) If Ei = 1254 ev, then: Ne 2p: IE2p = ev K.E.2p = 1232 ev Ne 2s: IE 2s = ev K.E.2s = 1206 ev Ne 1s: IE1s = ev K.E.1s = 384 ev Each line on the spectrum corresponds to a different initial orbital energy from which electrons were ejected. Orbital E in multi-electron atoms depends on two quantum numbers, and. PES Example: If a certain element being studied by X-ray photoelectron spectroscopy displays an emission spectrum with 5 distinct kinetic energies. Assuming each distinct K.E. is due to a different subshell, what are all of the possible elements that could produce this spectrum? First, determine the orbitals that the spectral lines are originating from,,,, and. 3

The elements that have electrons in (only) these orbitals are. B. ELECTRON AFFINITY (EA or E ea) The ability of an atom (or ion) to gain electrons: + e- Þ Cl + e Cl E = 349 kj/mol energy is released --- ion is stable than atom Electron affinity, EA, is defined as EA = E So, EA for Cl is EA = kj/mol Unlike IE (which is always positive), EA can be positive or negative. N + e N E = 7 kj/mol So EA = 7 kj/mole for N --- the -1 ion is stable than atom General trends in EA: EA increases EA decreases Noble gases Noble gases (group VIII) have EA because addition of an electron would require the occupation of a new shell. Halogens (group VII) have the largest EA's because the extra e - fills a hole in the p-subshell to give a complete shell. 4

MIT OpenCourseWare https://ocw.mit.edu 5.111 Principles of Chemical Science Fall 2014 For information about citing these materials or our Terms of Use, visit: https://ocw.mit.edu/terms.