Sec. 5.1 Ch. 5: Electrons in Atoms I. Issue: Rutherford’s model could not explain how/why atoms chemically react II. Answer: Niels Bohr’s Solar System Model (1913) A. Bohr’s (and others) observations 1. flame test results: metallic elements burn a unique color http://www.answers.com/topic/flame-test 2. spectral lines: gases in glass tubes give off characteristic, unique combination of wavelengths of light a. set up http://www.iun.edu/~cpanhd/C101webnotes/modern-atomic-theory/emission-spectrum.html b. unique spectral lines results http://webmineral.com/help/FlameTest.shtml B. Bohr’s interpretation: planetary, or solar system model of atom 1. electrons are arranged in discrete energy levels around the positive nucleus 2. each energy level represents a different amount of E; E of electrons increase as distance from nucleus increases 3. light E has a dual nature: can behave like both energy and a particle; travels in waves but absorbed/given off in discrete E amounts called photons 4. electrons absorb E and give off photons of E as they leap from one energy level to the next a. ground state distance in which the electron normally orbits around the nucleus; represents its lowest E state b. excited state when heated, electrons endothermically absorb E to quantum leap to a higher E level but electrons are unstable at this higher “excited” energy level c. electrons then leap back down to their ground state and exothermically release E in the form of visible photons of light E III. The FINAL (?) Piece of the Atom - 1930 James Chadwick: bombarding Be with radiation A. Produced, among other things, a neutral beam of particles B. Called these particles neutrons 1. the mass of a neutron was calculated to be similar to that of a proton (defined now as 1 “atomic mass unit” or 1amu) 2. has no charge – neutral particle IV. Quantum Theory – the Wave Mechanical Model of the Atom (current thinking) A. Erwin Schrodinger (1926) developed a math equation to help solve the issues that occurred with the Bohr model of the atom 1. A. Schrodinger is credited with discovering this modern model of the atom Why needed? Bohr’s model couldn’t explain the increasingly complicated spectral line results; was only good for hydrogen’s B. Electrons now depicted as traveling in a lessdefined “cloud” or pathway; unsure as to where exactly an electron is around the atom C. Electron arrangement based on a lot of math! Don’t need to know the math, just the end conclusions D. Electron location described in four increasingly more specific areas. They’re like an address for an electron. 1. n = principal energy level number of electrons each n holds: 2n2 n 1 2 3 4 5 6 7 2. # electrons it can hold 2 8 18 ℓ = sublevels (s, p, d, or f) a. General rule to determine the possible subshells within n energy level (integers only) i. ℓ ≤ n - 1 a. When ℓ = 0 (s-sublevel) ℓ = 1 (p-sublevel) ℓ = 2 (d-sublevel) ℓ = 3 (f-sublevel) b. n = 1 has one energy level; no subdivisions, we say that its ℓ = 0 and we know we are talking about the s-sublevel c. sublevels represent multiple pathways within the energy level d. are thought to exist to keep electron repulsion at a minimum (keep electrons apart as much as it can in that tiny space) e. have uniquely-shaped pathways http://en.wikibooks.org/wiki/General_Chemistry/Shells_and_Orbitals ℓ s p d f E level lowest higher next highest higher still Shape of ℓ pathway spherical dumbbell dumbbell with o-ring dumbbell with 2 o-rings d-orbital f-orbital Ex. When n = 1, what sublevel(s) is/are possible? Only the s-sublevel because ℓ ≤ n – 1 When n = 3, what sublevel(s) is/are possible? ℓ = 2 which indicates that the highest sublevel is the d-sublevel. If the highest sublevel is the d-sublevel then every sublevel below the d-sublevel is possible. This includes both an s and p sublevel. When n = 2, what sublevel(s) is/are possible? ℓ = 1 which indicates that the highest sublevel is the p-sublevel. If the highest sublevel is the p-sublevel then every sublevel below the p-sublevel is possible. This includes only an s-sublevel. 3. m = orbitals a. sublevels after the s sublevel are further divided into multiple pathways; regardless, we say s sublevel is also an orbital b. divide orbital into different planes/axes; each orbital of a sublevel has same size, distance from nucleus, and E level c. number of orbitals within a sublevel is always an odd number; starting with s it is one, and then it goes up consecutively by odd numbers d. orbitals range from - ℓ to + ℓ i. s = ___ 0 a. s-orbitals can only hold a maximum of 2 electrons ii. p = ___ ___ ___ -1 0 +1 a. p-subshells can hold a maximum of 6 electrons because each orbital can hold two electrons and there are three orbitals in a psubshell. Therefore a psubshell can hold a total of 6 electrons. iii. d = ___ ___ ___ ___ ___ -2 -1 0 +1 +2 a. d-subshells can hold a maximum of 10 electrons because each orbital can hold two electrons and there are five orbitals in a dsubshell. Therefore a dsubshell can hold a total of 10 electrons. e. ℓ Number of orbitals possible 1 3 5 7 s p d f 4. each increasing sublevel Number of electrons possible 2 6 10 14 s = spin number a. each orbital can hold a maximum of 2 electrons b. one electron travels clockwise or spin-up and has a value of +1/2, the other counter-clockwise or spindown and has a value of -1/2 c. further minimizes electron repulsion Ex. ___ 1s ___ 2s ___ ___ ___ 2p Identify the four quantum numbers for several electrons n Total ℓ types # (sublevels) of ℓ in each n m (orbitals) in each sublevel Total # of electrons (2n2) 1 2 3 4 5 6 7 1 1+3 1+3+5 1+3+5+7 1+3+5+7+9 1+3+5+7+9+11 1+3+5+7+9+11+13 2 8 18 32 50 72 98 0 1 2 3 4 5 6 s s, p s, p, d s, p, d, f s,p,d,f,g s,p,d,f,g,h s,p,d,f,g,h,i Sec 5.2 V. Orbital filling diagrams-abbreviation of the wave-mechanical atom model A. Symbols and their meanings: squares or circles - represent orbitals arrows - represent electrons VI. To complicate the matter electrons do not “fill up” the orbitals as we might expect due to overlapping that occurs between energy levels. Be sure to follow this filling order when doing any kind of electron configuration: 1s 2s 3s 4s 5s 6s 7s 2p 3p 4p 5p 6p 7p 3d 4d 5d 6d 7d 4f 5f 5g 6f 6g 6h 7f 7g 7h 7i Ex. Phosphorus (Atomic Number = 15) 1s 2s 2p 3s Fluorine (Atomic Number = 9) 1s 2s 2p 3p VII. Electron configurations: an even more abbreviated picture of the wave-mechanical model of the atom A. Write the energy level number next to its sublevel, in the proper order according to the arrow diagram B. Write the number of electrons in each sublevel by making it a superscript of the sublevel letter C. Ex: beryllium (atomic number 4) Be = 1s22s2 D. Try this for magnesium VIII. The electron configuration in your reference table is even more simplified, only showing the number of electrons in each energy level A. Ca = 2 – 8 – 8 – 2 B. Note: the energy levels are in numerical order and are not noting the proper order in which the sublevels were filled IX. All of the abbreviated diagrams can indicate other information about the atom as well A. Ground states and excited states 1. 2. O atom (ground state) a. orbital diagram: b. electron config.: c. periodic table: O atom (excited state)(one possibility) a. orbital diagram: b. electron config.: c. periodic table: 3. What to look for: if a sublevel at a higher energy level is occupied with electrons before completely filling up a sublevel at a lower energy level, then the atom is in the “excited state.” 4. Try some! 1. Are the following in a ground state or excited state? 2. What element is it? a. 1s22s22p63s2 B. b. 1s22s22p53s1 c. 2–8–8–1 d. 1s22s22p63s23p5 e. 1s f. 1s22s22p63p2 g. 1s22s22p63s23p6 h. 1s22s12p2 2s 2p 3s 3p If an atom is involved in a chemical reaction or is ionized, its number of electrons will vary from what the periodic table states it should have. 1. 2. Na atom: 1s 2s 2p 1s 2s 2p Na ion: C. 3. Cl atom: 1s22s22p63s23p5 4. Cl ion: 1s22s22p63s23p6 5. Try some! Ques: Ion or atom? a. Ca: 1s22s22p63s23p6 b. Mg: 1s22s22p63s2 c. O: 2 – 6 d. Ne: 1s e. N: 2s 2p 1s22s22p5 Paired and unpaired electrons 1. 2. 3. 4. refers to the number of electrons in an orbital paired = two electrons in orbital unpaired = one electron in orbital unoccupied = zero electrons in orbital 5. occupied = means there are electrons in the orbital with no mention of how many 6. Ex: aluminum 1s 7. 2s Ex: fluorine 1s 2s 2p 2p 3s 3p