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Chapter 4 Atomic Structure Atomic Models • A model is a working representation of experimental facts—basically, it’s our best current guess at why stuff works the way it does. • The concept of the atom has been revised over and over throughout history. The current model is known as the quantum model. Background • Democritus (465 BC) was the first to propose that matter was made of tiny building blocks called atomos. • The law of definite composition, when discovered, backed up this idea. All compounds contain a unique and definite composition. • For example, water always contains hydrogen and oxygen in a 1:8 ratio. Dalton’s Model • Elements are made of tiny indestructible spheres called atoms • Atoms of different elements have unique sizes and properties • An atom of one element cannot become an atom of another element • Atoms form compounds by combining with each other • Any certain compound always contains the same relative number and kind of atoms Thomson’s Model (“Plum Pudding”) • Dalton’s model was later revised by J.J. Thomson and others. • Thomson identified that all atoms had a particle in common: the electron • Thomson’s theory, then— – Negatively charged electrons are enmeshed in a positively charged substance – The charges balance to give electrically neutral atoms – Under certain conditions, the electrons can be removed from the atom Rutherford and the Proton • Rutherford did neat stuff: he shot alpha particles (which are the size of 7350 electrons and carry a positive charge) at a sheet of gold foil. • Most of the particles went through the foil. However, some were deflected or even bounced back. • “It was as if you fired a 15-inch shell at a piece of paper and it came back to hit you.” • He reasoned that the gold atoms, then, must have a small, very dense, region (the nucleus) made up of positively charged particles (protons) Chadwick and the neutron • Atoms were too big to be made up of simply protons and electrons. • The logical explanation, verified by Chadwick, was an particle of greater mass with neutral charge. • We now know that the nucleus consists of protons and neutrons, which are neutral and slightly larger than protons. Atomic sizes • The average atom is .2 nm across…that’s .0000000002 meters. • A 28.5 inch diameter varsity girls’ basketball holds 3,619,500,000 atoms. • That’s small…but remember, most of the mass is at the center, with the electrons orbiting around. If the Rose Bowl were an atom, and the electrons were orbiting the upper deck, the nucleus would be the size of a dime at midfield. Bohr’s model • We now knew the basic makeup of the atom. What we didn’t know was how it was arranged. • Niels Bohr (1885-1962) couldn’t figure out why atoms didn’t collapse. If opposite charges attract, the electrons should “sink” inward toward the protons in the nucleus. • The only explanation is that the sheer speed of the electrons keeps them in orbit—like the earth around the sun. Bohr and energy levels • Light from the sun has a continuous spectrum; if passed through a prism, it will break into all the colors of the rainbow. • Light coming out of energized electrons, though, gives off light with unique (depending on the element) and definite colored bands: line spectra continued • Bohr reasoned that these unique spectra correlated to the amount of energy used to excite the electron • Imagine a dartboard • Electrons prefer their lowest energy state, close to the bullseye (remember entropy?). However, when they take on enough energy, they move toward the edge of the dartboard. This transition is quantized and definite, with no halfway points. continued • When the energy ceases to be input, the electrons immediately return rapidly to their lowest energy state, giving off light and heat as they do so. • It was this light that Bohr observed that led to his atomic model…electrons orbiting in concentric rings around the nucleus The quantum model • The problem with Bohr’s model has to do with uncertainty. • Heisenberg states that we can know either a particle’s energy or position, but we cannot know both simultaneously. • Think: if we stop a particle to look at it, we don’t know how it got there. But if we watch a particle move, we can’t measure it. continued • Since we don’t know exactly how the electrons move, we can’t state with certainty that they move along a track. • We know say that electrons exist in orbitals, 4-d areas around the nucleus where we are most likely to find them. The four dimensions are x, y, z, and the probability that an electron inhabits that region. So where are the electrons? • Energy levels>sublevels (s,p,d,f)>orbitals (x,y,z) > electrons • There are never more than 2 electrons in any orbital. • S orbitals, the simplest, are spherical. Therefore, any s level can only hold 2 electrons • See page 80 P orbitals • The P sublevel contains three separate dumbbell-shaped orbitals: x, y, and z • Because it contains three orbitals, the entire sublevel can hold a total of 6 electrons The sum of these orbitals can be seen on page 80 of your book Sublevel d • D sublevels contain five separate cloverleaf orbitals: • Because of five orbitals, the d level can hold 10 electrons. • The sum of these orbitals can be seen on page 80 of your book Sublevel f • The f sublevel is basically too complex to depict pictorially. • It contains seven orbitals, and, therefore, how many electrons? • 14…good if you got it. • Remember…these levels and orbitals are NOT something we’ve observed. They are models we’ve guessed at to explain behavior. Capacities of energy levels Principal energy level Sublevels Orbitals in Electron Total electron each sublevel capacity of capacity each sublevel 1 S 1 2 2 2 S P 1 3 2 6 8 3 S P D 1 3 5 2 6 10 18 4 S P D F 1 3 5 7 2 6 10 14 32 5 S P D F 1 3 5 7 2 6 10 14 32 Energies of sublevels • In general…the farther an orbital or level is from the nucleus, the higher its energy. • The 1s sublevel has the least energy. • Everything makes sense until you get to 3p…for some reason, you don’t go to 3d next…4s comes first. Sublevel ordering 7s 6s 5s 4s 3s 2s 1s 7p 6p 5p 4p 3p 2p 6d 5d 4d 3d 5f 4f If you’ll draw them out like this, you’ll never ever get them wrong. It’s impossible, unless you do something boneheaded How to build an atom • The Aufbau principle states that the electron arrangement of an atom is determined by adding electrons to a smaller atom • Therefore, if you know how many electrons there are in a mystery atom, you can draw the electron configuration perfectly …and if you know the charge, you can identify the atom. Hydrogen and Carbon • Pauli’s exclusion principle states that each orbital can only contain two electronw with opposing “spins” • Hydrogen has 1 electron. Therefore, hydrogen’s electron configuration is simple: 1s1 • Carbon, on the other hand, has 6 electrons. Using my diagonal rule, though, it’s easy to determine its electron configuration: 1s22s22p2 Filling multiple orbitals • The p-block has three orbitals: x, y, and z. How do we know which orbitals get which electrons? • Hund’s rule states that, as orbitals fill, each orbital gets one electron before any get two. This is because electrons repel each other and energy must be held to a minimum. • An atom with four valence electrons in 2porbitals looks like this: 2px22py12pz1 , not this: 2px22py22pz0 Do you get it? • Give the electron configuration of manganese (25 electrons). • 1s22s22p63s23p64s23d5 Quantum numbers: electron description • Electron configuration is a description of an atom. Each type of atom has a unique electron configuration. • Quantum numbers work the same way for electrons. They are a means to quantify and describe particular electrons. • N is the first quantum number. It describes the principal energy level of the electron in question. As far as you’re concerned, it can go from 1-7. More quantum numbers • L, the second number, identifies the type of sublevel in which an electron exists—0(s), 1(p), 2 (d), or 3 (f) • M, the third number, identifies the specific orbital in which an electron exists. It can range from –m to +m. • Ms, the fourth number, identifies the “spin” of the electron: +1/2 or -1/2 • Remember Pauli: no two electrons can have the same four quantum numbers in an atom. Identifying atoms • Atomic number=number of protons in an atom. This is the principal way we identify atoms, because it never changes. • Mass #=number of protons + number of neutrons. The number of neutrons is variable for any atom. More neutrons = more mass. • Atoms with numbers of neutrons differing from the most common are called isotopes Isotopes and averages • Example: 92.58 % of naturally occurring lithium is Li-7. • However, that means there’s 7.42 % out there with some other mass (Li-6). • How do we know how much lithium weighs? • We use a weighted average: (.0742)(6.015)+(.9258)(7.016)=6.941 amu • This is similar to grading your work. Valence electrons • Valence is a special, fancy, scientific name that means “outside” • Valence electrons are important because, as the electrons feeling the least pull from the positively charged nucleus, they are the most likely to be involved in bonding with other molecules. • How many valence electrons? – Hydrogen – Carbon – Oxygen Electron Dot Symbols • Also called Lewis structures • A way to visualize an atom’s valence electrons • The first two electrons go on as a pair; any remaining go one at a time: Mg S Ar Ions: charged atoms • Anion= A Negative ION • Cation= (I know it’s cheesy) C A + ION • The important thing: adding electrons makes an atom negative; taking them away makes an atom positive. • How many electrons would C+2 have? • What about O-3 HOMEWORK • Terms: atom, model, electron-neutron, quantized, orbital, sublevel, electron configuration, mass number, atomic number, isotope, valence electron, ion, cation, anion • Questions: 2, 5-10, 12-18, 20-24