The very basics: Notes on Atomic structure Atom: an electrically neutral combination of protons, neutrons and electrons. The protons and neutrons are located in the center of the atom in what is called a nucleus. The electrons are located in a region around the nucleus in various energy levels or shells. Each type of atom can be identified by an atomic number, which is the number of protons that it contains. Ion: an electrically charged atom formed by either adding or removing electrons. Cation: a positive ion Anion: a negative ion Isotope: varieties of atoms that have the same number of protons but have different numbers of neutrons. Or Atom: The smallest building block of matter; a collection of protons, neutrons and electrons. An Element is a particular type of atom Ion: a charged atom. An atom that has gained or lost electrons from its normal state. Cations are positive. Anions are negative. Isotopes: all atoms are some kind of isotope. All isotopes act the same chemically but have slightly different masses (due to the number of neutrons) Teacher/student notes: Construct a conceptual map with these terms: how are they related Atomic structure Electron Proton Atomic number Mass number neutron Nucleus isotopes Remember that “all atoms are some particular isotope” What is reported on the periodic table of elements is the weighted average of all isotopes - The atomic number (on periodic table) is the number of protons - On the worksheet the Mass is really the mass number of a particular isotope - The sum of the protons and neutrons will be this mass number - The # of electron is the sum of the electrons in each shell (and for a neutral atom will equal the number of protons; the number of protons and electrons will not be equal in an ION. - When drawing a (2-dimensional) representation of an atom space out the electrons into the 4 corners of the orbit doubling up when there are more than 4 electron - Remember these are only models the nucleus of an atom is 10,000 times smaller than the whole (really really, really, really dense stuff) Isotopes are very common in the physical world, Some are very radioactive and spontaneously undergo change into new elements (radioactive decay, this is not “chemistry”) others are much more stable and contribute to the “average atomic mass” of an element. The value of 1 A.M.U. (or one atomic mass unit is defined as 1/12 the mass of a carbon -12 atom) There are several methods of describing a particular isotope learn them now but for most of the year we will just use the simple chemical symbol for an “average” element There are 7 special element know as “the diatomic seven that you should MEMORIZE (see list) In chemistry we will calculate average atomic mass a little differently that you may be used to; SEE Below The seven diatomic elements H2, N2, O2, F2, Cl2, Br2, I2 When in their natural state (gases since most have very low boiling points) these elements “pair up” into molecules (non-metal to non-metal). They seem to do this to have a complete valence shell. You must have these memorized in order to properly write balanced chemical equations. Here are some tricks I have learned. An oldie but a goodie I Bring Clay For Our New House ( 4 paving 8 sidewalks; P4 S8 ) One teacher said all the elements got together to honor to honor a great chemistry Ms. (or Mr.) HOFBrINCl (spell it just like it sounds) One particularly energetic cheerleader noticed that it was hockey stick (3 across and 4 down N, H (hockey puck) and a O, F, Cl, Br, I). However you wish to memorize them JUST DO IT !!! In chemistry Average Atomic Mass Analogy Average cost of a can of pop In chemistry you will calculate averages slightly differently than the simple add them all up and divide method you may be familiar with. In Chemistry since we usually deal with large numbers of atoms we will calculate the percentage first and then find what is called the weighted proportion and add these weighted proportions up. For example look at the data table for pop purchases Cost for pop purchase Where purchased $0.50 machine (near home) $0.65 Machine (at Mall) $0.50 machine (near home) $1.15 Embers restaurant $0.50 machine (near home) $0.65 Machine (at Mall) $0.65 Machine (at Mall) $0.50 machine (near home) $1.25 Movies $0.50 machine (near home) A total of 10 cans were purchased: and using your grade school skills it is not hard to determine the “average” price. However in Chemistry there are usually so many “individual” atoms that we don’t even consider them as individuals. Instead we use the percentage. Analyzing the data we see that: 50% of the purchases cost $0.50 30% of the purchases cost $0.65 10% cost $1.15 10% cost $1.25 The “average can” is made up of the sum of these weighted portions. .50 times 50 cents equals 25.0 cents of the “average” .30 times 65 cents equals 19.5 cents of the “average” .10 times 115 cents equals 11.5 cents of the “average” .10 times 125 cents equals 12.5 cents of the “average” Summing these weighted portions gives. 68.5 cents (the same answer you obtained using the elementary school method) Sample problems: Example #1) Rubidium has two common isotopes, 85Rb and 87Rb. If the abundance of 85Rb is 72.2% and the abundance of 87Rb is 27.8%, what is the average atomic mass of rubidium? Not all problems involve chemistry: Example #2) What would the average income be for a country that has 20% of the population earning $20,000 per year ($10.00/hour) 75 % of the population earning $50,000 and 5% earning 2 million per year. Answers: Ex 1) (.722 * 85) + (.278 * 87) = 85.556 or 85.56 rounded to the hundredths of an amu Ex #2) (.20 * 20,000) + ( .75 * 50,000) + ( .05 * 2,000,000) = 141,500 Much more than the “average” person) John Dalton is given much of the credit with reviving the idea of the atom causing it to become the well known theory it is today. The postulates of Dalton's atomic theory were used to explain earlier observations of the behavior of matter. His postulates were... (a) All matter is composed of small, indivisible particles called atoms. (b) All atoms of a given element are identical in mass and properties. (c) Compounds are formed by a combination of two or more atoms in definite arrangements in the ratio of small whole numbers. (d) Atoms are not created, destroyed or converted into other kinds of atoms during chemical reactions. They are simply rearranged into new compounds. These postulates were accepted for most of the 1800's until new experiments indicated atoms were made up of subatomic particles. These new experiments provided evidence that postulates "a" and "b" were not correct. A Brief History of the Atom: copied from web site: http://www.cerritos.edu/ladkins/a106/A%20Brief%20History%20of%20the%20Atom.htm Antiquity (400 B.C.) Democritus of Adbera (northern Greece) asserted that all material things are composed of extremely small irreducible particles called atoms. “Nothing exists except atoms and empty space. Everything else is opinion”. The atomic theory was roundly rejected by Aristotle, and, thus, by almost everybody else for the next two millennia. 17th through 19th Centuries (1627-1691) Robert Boyle (England) extended mathematics to chemistry and revived atomic theory. (1777) Antoine Lavoisier (France) demonstrated the conservation of matter (matter can be neither created nor destroyed) in a chemical reaction and defined the difference between an element and a compound. (1780) Charles Coulomb (France) described the force between two electric charges with a mathematical formula which looked very much like Newton’s law of gravity: qq F 1 22 r where F is the force q1 and q2 are two charges and r is the distance between them. The electrical force is the chief force involved in atomic reactions. This force is attractive when charges q1 and q2 have opposite signs and repulsive when the charges have the same sign. (1803) John Dalton (England) formulated the modern version of the atomic theory. In his model all atoms in a given chemical element are exactly alike, while the atoms of different elements differ by atomic weight (1831-1879) James Clark Maxwell (England) showed that electricity and magnetism are two aspects of the same phenomena, and predicted that accelerating charges radiate waves traveling at the speed of light. These waves are known generically as electromagnetic waves of which visible light is one example. (1898) J.J. Thompson (England) discovered the electron, the component of the atom with negative charge. His model of the atom had the negatively charged electron evenly distributed throughout a sphere of positively charged material. This is known as the “plum pudding” model of the atom. 20th Century (1900) Max Planck (Germany) introduced the quantum theory to explain the shape of the temperature versus color curve of a glowing solid. Briefly, he found that light cannot be converted into heat (energy) by any arbitrary amount, but only as discrete packets which he called quanta (known as photons today). For light of wavelength λ, the energy per quanta is given by: E hc where h is a constant which we now call planck’s constant. (1905) Albert Einstein (Germany, USA) published papers on special relativity which included the famous equation relating energy E to mass m: E mc 2 Here, c is the speed of light. Thus, the mass of any particle has an equivalent energy and a photon, viewed by Planck as a packet of pure energy, has an equivalent mass. (1909) Ernest Rutherford (England) demonstrated that the atom is mostly empty space with a small positively charged nucleus containing most of the mass and low mass negatively charged particles (Thompson’s electrons) orbiting this nucleus. Rutherford could experimentally identify nuclear particles with positive charge that he called protons. Although he could explain the charge of atomic nuclei with the right number of protons, the mass of the nucleus for large atoms was always larger than the sum of its protons. Therefore he postulated the existence of a neutral particle with a mass nearly the same as the proton which, when added to the protons in the nucleus, would give the right mass. Rutherford called this hypothetical particle the neutron. Later (1930) Rutherford’s colleague James Chadwick was able to detect the neutron experimentally. (1913) Neils Bohr (Denmark) developed the first successful model of the atom. Since we still use Bohr’s model to explain many aspects of physical phenomena such as the appearance of spectra, it is worthwhile to spend some time describing it. Bohr’s model of the atom builds on Rutherford’s basic conception. In detail, the nucleus contains a number of relatively high mass particles with positive charge called protons along (sometimes, not always) with some neutral particles of about the same mass called neutrons. A chemical element is defined and distinguished from all other chemical elements by the number of protons in its nucleus. Orbiting the nucleus, much like planets orbiting the sun, are the electrons. This is pretty much the picture that pops into most people’s heads when they think of atoms. They get this picture because that is how atoms are usually illustrated in everything from comic books to textbooks. Now according to Maxwell, accelerating charges, such as electrons traveling in circular orbits, should radiate electromagnetic waves and, hence, energy. This loss of energy should make the electrons spiral down into the nucleus. To get around this problem, Bohr proposed that the electrons were confined to specific orbits that were quantized. As long as the electrons remained in one of the allowed orbits, no electromagnetic radiation will be released. Under ordinary conditions the electrons of most atoms are in the lowest orbit available; under such conditions the atom is said to be in the “ground state” and cannot radiate energy. To move an electron from the ground state to one of the higher orbits requires the input of energy exactly equal to the energy spacing between the two orbits. Once at the higher level, the electron can then fall back to a lower orbit, radiating a photon with an energy corresponding to the orbital spacing. To summarize: To radiate energy, and atom must first be excited (electrons raised above the ground state). The excited atom then returns to the ground state by emitting energy in the form of electromagnetic radiation. Bohr Hydrogen Atom Photon in - + Hydrogen atom in ground state Hydrogen atom excited Photon out Hydrogen atom emits photon Bohr set about explaining the visible spectrum of the hydrogen atom, i.e., the Balmer series of lines familiar to just about everyone who has ever taken an astronomy lab. Bohr was able to show that this set of violet, blue and red lines originated from an electron falling from higher orbits down to the orbit immediately above the ground state. More precisely, if we designate each orbit with a number beginning with n=1 for the ground state, the Balmer series represents the transition of the electron from orbit n>2 to orbit n=2. The higher the originating orbit, the greater the energy of the photon emitted. For example, the red line, representing the longest wavelength (and, thus, the lowest energy photon), is produced by the electron falling from orbit n=3 to n=2. The next blue line comes from the electron in n=4 falling to n=2, and so forth. Now before we can obtain the Balmer spectrum from a hydrogen atom, two criteria must be satisfied: (1) there must be an electron available and (2) it must be in an orbit greater than n=2. Criterion (1) will not be satisfied if the atom has been stripped of its electron. An atom in this condition is referred to as ionized and it occurs at elevated temperatures. On the other hand, criterion (2) will not be satisfied if the hydrogen atom is in the ground state, i.e., its electron has not been excited into a higher orbit. From this we can see why neither hot, blue O type stars nor cool, red M type stars exhibit strong hydrogen lines. Type O stars are so hot that most of the hydrogen atoms in their atmospheres have been ionized, and are, hence, unavailable to form spectra. On the other hand type M stars are too cool to excite very many of the hydrogen atoms above the ground state. Thus, for opposite reasons, neither type O or type M stars have strong hydrogen lines in their spectra. (1924) Louis de Broglie (France) hypothesized that the electrons in Bohr’s model were confined to discrete orbits because they had the properties of standing waves. He proposed that any particle with a momentum p (p = mv) has an equivalent wavelength λ given by h h p mv . Here m is the mass of the particle and v is its velocity. Calculations based on the assumption that matter at the atomic level can be viewed as waves agreed so well with experiments that it became a cornerstone of quantum mechanics. The theory is known today as the Principle of Complementarity : Waves and particles represent complementary aspects of the same phenomenon. In short, wave phenomena such as light can also have the properties of particles, and particle phenomena such as the constituents of atoms can also have the properties of waves. (1925) Cecilia Payne (England, USA), using the new model of the atom, showed that the sun and stars are composed almost entirely of hydrogen and helium, with only trace amounts of more familiar, heavier, elements. She came to this conclusion by studying the spectral data which had been accumulated at Harvard Observatory over the past quarter century. As was pointed out in the discussion of the Bohr atom, both hot stars (O and B) and cool stars (K and M) do not exhibit strong hydrogen lines for opposite reasons. In the first instance (hot stars), most of the hydrogen atoms are ionized and, thus, have no electrons available to be raised to a higher orbit. In the second instance (cool stars), the stars do not produce many photons of the energy required to raise electrons above the ground state. However, hydrogen lines are not entirely absent; faint hydrogen lines are seen in both groups of stars. This is so because at a given instant a few hydrogen atoms in hot stars do have electrons, and even the coolest stars produce some energy in the range necessary to excite the hydrogen atom. The percentage of non-ionized atoms in hot stars and the percentage of excitation photons in the energy output of cool stars can be calculated statistically. When Cecilia Payne made these calculations, she came to the conclusion that the fact that any hydrogen lines at all are visible in these stars implies that the number of hydrogen atoms present must be enormous – over 90% of the total number of atoms and over 70 % of the stellar mass. Similar reasoning led to the conclusion that most of the remaining mass was made up of helium. The same statistical approach was applied to the spectra of the middle range stars (A, F, and G) and a similar composition was found for these stars as well. For all stars, only a tiny fraction of the stellar mass, typically no more than 2%, was comprised of the heavier elements such as oxygen and silicon, the most common elements on Earth. When the hydrogen emission hydrogen spectra found in gaseous nebulae was factored in, the message seemed clear: The universe is mostly hydrogen and helium, the two simplest elements. (1925) Sir Arthur Eddington (England) produced the first model of stellar structure based on nuclear physics. The energy source of the sun and stars had been a mystery for centuries. It is easy to determine the total energy output of the sun. Basically, you measure how much heat is transferred to a square meter of water (or other calibrated material) in a given amount of time, then multiply this number times the surface area of a sphere centered on the sun with a radius of 1 A.U. This yields a total energy output of about 4 x 1026 joules/sec (watts). From geological considerations this amount of energy has been produced without interruption for about 5 billion years. No energy source known before the 20th century could have produced energy at this rate for this length of time. Scientist studying the nucleus in the early twentieth century noticed that the atomic weight of the helium nucleus was slightly less than the sum of the protons and neutrons that comprised it. The implication was that when protons and neutrons were added together to make helium, energy was produced equal to the mass loss in accordance with Einstein’s E=mc2 equation. However, in order for two or more protons to come together, they had to overcome the couloumb barrier, the electromagnetic repulsion between like charges. This requires the protons to be tremendously energetic, which in turn requires that they be in a very high temperature environment. Eddington showed that the core of the sun was an environment with the necessary temperature. He did this by reasoning that the sun was neither getting smaller or larger. For a fluid substance such a condition is known as hydrostatic equilibrium. The force trying to collapse the sun is gravity. Since the sun’s dimensions are not changing, the force of gravity must be counter balanced by force acting in the opposite direction. There is a simple equation that relates the pressure (force per unit area), P, of a gas to its density, D, and its temperature, T: P =DT. Knowing the mass and volume of the sun and the temperature at its surface, Eddington was able to calculate the temperature required at any point in the sun’s interior to produce the outward pressure necessary to counter balance the inward gravitational pressure. He found that at its core, the sun’s temperature would have to be around 10 million K. When Eddington first published his results it was felt that this was not hot enough. However, further understanding of the behavior of matter at the quantum level showed that the temperature was sufficient. Today we recognize that the conversion of hydrogen (one proton) into helium (two protons + two neutrons) plus energy at the core of the sun is the basic process that makes the sun shine. This process is known generically as thermonuclear fusion. Copied from the web site: http://www.kennethsnelson.net/atom/Portrait2.html A BRIEF HISTORY OF ATOMIC STRUCTURE 450 B.C. 1678 1684 1687 1864 1873 1887 1895 1900 1905 1911 1913 DEMOCRITUS, a Greek philosopher, proposed that all matter is made up of particles called atoms, meaning indivisible. CHRISTIAN HUYGENS, postulated that light is a wave which moves and acts like waves in water. SIR ISAAC NEWTON stated that "matter is formed of solid, massy impenetrable particles", of some definite size which combine in various ways to produce substance. SIR ISAAC NEWTON developed the "corpuscular theory of light." Light is thought to be the result of "luminous corpuscles" or particles which produce the waves we see as light. CLERK MAXWELL developed a series of equations expressing the relationship between electric and magnetic forces. CLERK MAXWELL stated "we have strong reason to conclude that light itself is an electromagnetic disturbance." HEINRICH HERTZ discovered the photoelectric effect. If a beam of light falls on a clean metal plate in a vacuum, the plate becomes positively charged. SIR JOSEPH THOMPSON proved the existence of a negatively charged particle, termed the electron, which existed as part of the atom. MAX PLANCK developed the basis of modern Quantum Theory by finding that light is emitted or absorbed by an atom in discrete amounts called quanta. ALBERT EINSTEIN in his explanation of the photoelectric effect proposed that light must have both the properties of particles as well as those of waves. LORD ERNEST RUTHERFORD discovered that the atom's nucleus is very small in relation to the entire atom. He proposed that the negatively charged electrons were revolving around a heavier, charged nucleus. NIELS BOHR synthesized Rutherford's discovery into a reasonable model of an actual atom, using hydrogen as his example. Bohr proposed a positively charged central nucleus with electrons moving about it in circular orbits. The important feature in Bohr's theory was that electron orbits could occur only in specific, predetermined paths. If an electron absorbs energy, it is moved to an orbit further from the nucleus. Conversely, when it drops to an orbit nearer the nucleus, it gives off energy in the form of light. Different colors of light are produced depending on which orbit the electron starts from and to which orbit it drops. 1916 ARNOLD SOMMERFELD proposed elliptical orbits in addition to Bohr's circular ones. Sommerfeld's ellipses altered Bohr's model by showing electrons moving inwardly and outwardly without radiating or absorbing energy. 1923 LOUIS DE BROGLIE proposed that all objects have properties of waves. The lighter the object, the more pronounced the wave effect. An object as small as the electron would act very much like a wave, forming stationary waves around the nucleus. 1925 1925 1926 1927 1929 WOLFGANG PAULI developed the Pauli Exclusion Principle which states that no two electrons within the same atom can have the same set of quantum numbers. UHLENBECK & GOUDSMIT showed that the electron possesses a spin in either direction upon its axis. ERWIN SCHROEDINGER developed an equation, based on de Broglie's wave idea, expressing the probable location of an electron. These probable regions of occupancy were conceived as clouds of charge around the nucleus. Different shapes occurred for different types of orbitals. WERNER HEISENBERG derived his "Uncertainty Principle" which states that it is impossible to determine simultaneously the momentum and position of an electron. LINUS PAULING showed how 2 electrons could form a more stable wave arrangement if their spins were antiparallel. CURRENTLY ACCEPTED SCIENTIFIC DESCRIPTION OF AN ATOM 1. At the center of the atom is a small, dense positively charged nucleus consisting primarily of protons and neutrons. 2. Moving around the nucleus are negatively charged electrons which account for only 1/5000 of the atom's mass -- the rest of the mass being in the nucleus. Most of the atom is empty space. The motion of the electrons is not described. 3. The electrons in an atom are allowed to have only certain energies. The allowed states are described by a set of "quantum numbers", which indicate their average distance from the nucleus, their angular momentum and its direction, and the electrons' spin direction. 4. Light of a specific color is emitted or absorbed when electrons change from one state to another. 5. The "Heisenberg Uncertainty Principle" states that the position and momentum of an electron cannot be simultaneously determined. The interpretation of the Heisenberg principle is that the atom's structure and the interactions of its electrons are random and can be discussed only statistically. 6. Even though the electron's exact position cannot be determined, if its energy is known, the theory predicts the probability that an electron could be at a particular place. 7. If the probability location of an electron of known energy is plotted in space, the plot looks like a fuzzy cloud of varying density, the shape varying with differences in angular momentum. It always has a definite symmetry about the nucleus. Some of the clouds or orbitals are spherical, others are like dumbbells, while others are more complex. 8. In describing an atom with many electrons, the charge clouds of one shell are superimposed in space with those of other shells. Sub-atomic particles: Protons, Neutrons and electrons mass (in a.m.u.’s) Type symbol charge Location Proton P positive 1 nucleus Neutron N neutral 1 nucleus Electron e- negative 0 shells/orbits Atoms (or elements) are neutral combinations of protons, neutrons and electrons Ions are atoms (or groups of atoms) that have gained or lost electrons to obtain a net charge. Cations are positively charged ions (they have lost electrons) Anions are negatively charged ions (that have gained one or more electron) Isotopes are varieties of the same element that have different masses due to more or less neutrons in the nucleus. Isotopes of the same element react the same. (heavy water is just like water only more dense). Element Symbol Mass # of protons # of neutrons # of electrons Carbon C 12 6 6 6 Helium He 4 2 2 N 7 28 13 S 18 79 24 79 12 Sn 69 Hydrogen 1 2 (tritium) Uranium 235 47 Ir 77 240 94 125 84 On the back of this sheet draw picture/models of 4 (or more) elements - Answers: Element Symbol Mass # of protons # of neutrons # of electrons Carbon C 12 6 6 6 Helium He 4 2 2 2 nitrogen N 14 7 7 7 aluminum Al 28 13 15 13 sulfur S 34 16 18 16 gold Au 197 79 118 79 magnesium Mg 24 12 12 12 Tin Sn 119 50 69 50 Hydrogen H or 3H 3 1 2 1 Uranium U 235 92 143 92 silver Ag 108 47 61 47 iridium Ir 192 77 115 77 Plutonium Pu 240 94 146 94 Polonium Po 209 84 125 84 (tritium) IONS chart Name: __________________ Element/ period: ____ Symbol Mass # of protons # of neutrons # of electrons C+4 12 6 6 2 H+1 1 0 0 ION Carbon cation Nitrogen anion N-3 7 33 36 S-2 35 Mg+2 24 36 12 Sn+2 U+1 45 69 9 10 47 46 20 18 235 Ir-2 Cesium 54 On the back of this sheet draw picture/models of 4 (or more) IONS (2 cations, 2 anions) Try these mixed elements and Ions Element/ Symbol Mass # of protons # of neutrons # of electrons 12 10 ION Al+3 He Sodium 8 10 16 18 Os Answers: IONS chart Element/ Symbol Mass # of protons # of neutrons # of electrons Carbon cation C+4 12 6 6 2 Hydrogen cation H+1 1 1 0 0 Nitrogen anion N-3 14 7 7 10 Arsenic anion As-3 75 33 42 36 Sulfur anion S-2 32 16 16 18 Bromine anion Br -1 80 35 45 36 Mag. cation Mg+2 24 12 12 10 Tin cation Sn+2 119 50 69 48 Fluorine anion F-1 19 9 10 10 Uranium cation U+1 235 92 143 91 Silver cation Ag+1 109 47 62 46 Iridium anion Ir-2error 192 77 115 79 Calcium cation Ca+2 40 20 20 18 Cesium cation Cs+1 133 55 78 54 ION On the back of this sheet draw picture/models of 4 (or more) IONS (2 cations, 2 anions) Try these mixed elements and Ions Element/ Symbol Mass # of protons # of neutrons # of electrons ION Aluminium cation Al+3 27 13 14 10 Helium atom He 4 2 2 2 Sodium cation Na+1 23 11 12 10 Oxygen anion O-2 16 8 8 10 Osmium atom Os 190 76 114 76 Sulfur anion S-2 32 16 16 18