1 00:00:01,000 --> 00:00:04,000 The following content is provided by MIT OpenCourseWare 2 00:00:04,000 --> 00:00:06,000 under a Creative Commons license. 3 00:00:06,000 --> 00:00:10,000 Additional information about our license and MIT 4 00:00:10,000 --> 00:00:15,000 OpenCourseWare in general is available at ocw.mit.edu. 5 00:00:15,000 --> 00:00:20,000 What I am going to do today is I am going to start talking 6 00:00:20,000 --> 00:00:23,000 about the development of atomic theory. 7 00:00:23,000 --> 00:00:28,000 I am going to whiz through what the evidence is for the 8 00:00:28,000 --> 00:00:33,000 existence of atoms. And then, we are going to talk 9 00:00:33,000 --> 00:00:38,000 about how the atom is not the most basic constituent of 10 00:00:38,000 --> 00:00:42,000 matter, how the atom can be divided into at least an 11 00:00:42,000 --> 00:00:46,000 electron and a nucleus. And then, what we are going to 12 00:00:46,000 --> 00:00:50,000 see is how the existing classical way of thinking, 13 00:00:50,000 --> 00:00:54,000 Newtonian mechanics, cannot explain how that 14 00:00:54,000 --> 00:00:59,000 electron and that nucleus hangs together. 15 00:00:59,000 --> 00:01:02,000 And later on in the course, we are going to see how that 16 00:01:02,000 --> 00:01:06,000 existing classical physics is not going to be able to explain 17 00:01:06,000 --> 00:01:10,000 how two atoms hang together. We are going to look at the 18 00:01:10,000 --> 00:01:14,000 fundamental principles, here, of chemical bonding. 19 00:01:14,000 --> 00:01:16,000 I am going to get going on this subject. 20 00:01:16,000 --> 00:01:19,000 Then, about three-quarters of the way through, 21 00:01:19,000 --> 00:01:22,000 I am going to stop. And then I will do some 22 00:01:22,000 --> 00:01:27,000 introductions of our teaching team this semester. 23 00:01:27,000 --> 00:01:31,000 And then also we will talk about the mechanics of the 24 00:01:31,000 --> 00:01:35,000 course and some expectations of the course. 25 00:01:35,000 --> 00:01:40,000 Let's get going. Certainly, the Ancient Greeks 26 00:01:40,000 --> 00:01:45,000 were known to have pondered whether matter can be divided ad 27 00:01:45,000 --> 00:01:49,000 infinitum into smaller and smaller pieces, 28 00:01:49,000 --> 00:01:53,000 chopped up into smaller and smaller pieces, 29 00:01:53,000 --> 00:01:58,000 or whether there was a point at which you couldn't chop up 30 00:01:58,000 --> 00:02:04,000 matter any further. Aristotle over here was one of 31 00:02:04,000 --> 00:02:09,000 those philosophers who believed that matter was infinitely 32 00:02:09,000 --> 00:02:12,000 divisible. You could chop it up ad 33 00:02:12,000 --> 00:02:15,000 infinitum. This is called the continuum 34 00:02:15,000 --> 00:02:19,000 theory of matter. It is a continuum. 35 00:02:19,000 --> 00:02:22,000 There is no discreteness to matter. 36 00:02:22,000 --> 00:02:25,000 That was his view of the structure of matter, 37 00:02:25,000 --> 00:02:30,000 but there was a minority opinion. 38 00:02:30,000 --> 00:02:35,000 An opinion actually held by Democritus who was 100 years 39 00:02:35,000 --> 00:02:40,000 older than Aristotle. And Democritus believed that 40 00:02:40,000 --> 00:02:44,000 matter was composed of discrete particles called, 41 00:02:44,000 --> 00:02:50,000 in Greek, "atomos," "a" meaning not, "tomos" meaning divisible, 42 00:02:50,000 --> 00:02:55,000 not divisible particles. Well, for whatever reason, 43 00:02:55,000 --> 00:03:01,000 Aristotle's continuum theory of matter prevailed all the way up 44 00:03:01,000 --> 00:03:07,000 to the 17th century. And here he is depicted by 45 00:03:07,000 --> 00:03:12,000 Raphael, the frescos on the walls in the Vatican holding 46 00:03:12,000 --> 00:03:16,000 court on the continuum theory of matter. 47 00:03:16,000 --> 00:03:21,000 But at the same time that Raphael actually painted this 48 00:03:21,000 --> 00:03:27,000 picture, there were beginning to accumulate some observations 49 00:03:27,000 --> 00:03:32,000 about how matter behaved and how it reacted that did not quite 50 00:03:32,000 --> 00:03:38,000 jive with this continuum theory of matter. 51 00:03:38,000 --> 00:03:40,000 And what were those observations? 52 00:03:40,000 --> 00:03:45,000 Well, one of those observations was by this gentleman, 53 00:03:45,000 --> 00:03:48,000 Robert Boyle. Guess what his profession was. 54 00:03:48,000 --> 00:03:50,000 Chemist? Good guess. 55 00:03:50,000 --> 00:03:55,000 He was actually a theologian, as most chemists were at that 56 00:03:55,000 --> 00:03:58,000 time. You know him largely for the 57 00:03:58,000 --> 00:04:03,000 empirical observation that if you take the pressure times the 58 00:04:03,000 --> 00:04:08,000 volume of a gas, it is always a constant. 59 00:04:08,000 --> 00:04:11,000 At least when the temperature is constant. 60 00:04:11,000 --> 00:04:16,000 But Robert Boyle also put forth probably the first idea of an 61 00:04:16,000 --> 00:04:19,000 element. And he called elements certain 62 00:04:19,000 --> 00:04:24,000 primitive unmingled bodies. And he also put forth the idea 63 00:04:24,000 --> 00:04:30,000 that these unmingled bodies were the ingredients of perfectly 64 00:04:30,000 --> 00:04:34,000 mixed bodies. Just a pseudonym for molecules, 65 00:04:34,000 --> 00:04:38,000 for compounds. And then there is the work of 66 00:04:38,000 --> 00:04:41,000 this gentleman, Joseph Priestley. 67 00:04:41,000 --> 00:04:46,000 Guess what his occupation was. Right, he was a priest. 68 00:04:46,000 --> 00:04:51,000 And what he did was he carried out some reactions of 69 00:04:51,000 --> 00:04:55,000 dephlogisticated air with various materials. 70 00:04:55,000 --> 00:04:59,000 And what he found was that materials reacted more 71 00:04:59,000 --> 00:05:04,000 vigorously in dephlogisticated air than they did in 72 00:05:04,000 --> 00:05:09,000 undephlogisticated air. And, of course, 73 00:05:09,000 --> 00:05:12,000 dephlogisticated air is nothing other than oxygen. 74 00:05:12,000 --> 00:05:16,000 It is the air with the nitrogen removed from it. 75 00:05:16,000 --> 00:05:19,000 But it really took this gentleman, Lavoisier, 76 00:05:19,000 --> 00:05:24,000 to understand what Priestley's experiments were all about. 77 00:05:24,000 --> 00:05:28,000 And what Lavoisier realized is that when materials were 78 00:05:28,000 --> 00:05:31,000 reacting with this dephlogisticated air, 79 00:05:31,000 --> 00:05:37,000 this dephlogisticated air was kind of adding to the material. 80 00:05:37,000 --> 00:05:42,000 And he came to that conclusion because he did some very careful 81 00:05:42,000 --> 00:05:47,000 measurements of the mass of the dephlogisticated air plus the 82 00:05:47,000 --> 00:05:53,000 material before the reaction and some careful measurements after. 83 00:05:53,000 --> 00:05:56,000 And found that they were indeed equal. 84 00:05:56,000 --> 00:06:00,000 There was a conservation of mass. 85 00:06:00,000 --> 00:06:04,000 And from that Lavoisier was really the first person to 86 00:06:04,000 --> 00:06:10,000 realize that a chemical reaction was analogous to an algebraic 87 00:06:10,000 --> 00:06:13,000 equation. He also went on to isolate 17 88 00:06:13,000 --> 00:06:18,000 different metals and identified them as elements and nine 89 00:06:18,000 --> 00:06:23,000 different nonmetals and identified them as elements. 90 00:06:23,000 --> 00:06:28,000 But for all of his efforts, well, we all know what happened 91 00:06:28,000 --> 00:06:32,000 to him. He was advisor to the French 92 00:06:32,000 --> 00:06:34,000 Monarchy. The judge at his trial 93 00:06:34,000 --> 00:06:38,000 proclaimed the Republic has no use for Savants. 94 00:06:38,000 --> 00:06:42,000 LaGrange, who was a mathematician at that time, 95 00:06:42,000 --> 00:06:46,000 said, "It took but a moment to cut off that head, 96 00:06:46,000 --> 00:06:51,000 though 100 years will be required to produce another like 97 00:06:51,000 --> 00:06:55,000 it." Well, here we have some observations and we have some 98 00:06:55,000 --> 00:07:00,000 observations -- Oh, I forgot one other person 99 00:07:00,000 --> 00:07:02,000 here. That's this guy, 100 00:07:02,000 --> 00:07:03,000 J. L. 101 00:07:03,000 --> 00:07:04,000 Proust. J. 102 00:07:04,000 --> 00:07:06,000 L. Proust was also a French 103 00:07:06,000 --> 00:07:11,000 scientist at that time, but he was a little more 104 00:07:11,000 --> 00:07:15,000 politically savvy. And so he high-tailed it out of 105 00:07:15,000 --> 00:07:21,000 France and lived a long and productive life as a professor 106 00:07:21,000 --> 00:07:24,000 in Madrid. And what he did were 107 00:07:24,000 --> 00:07:29,000 experiments. He recognized from the results 108 00:07:29,000 --> 00:07:34,000 that when two elements combine to form a given compound, 109 00:07:34,000 --> 00:07:38,000 they always did so in definite proportions by weight, 110 00:07:38,000 --> 00:07:43,000 regardless of what kind of method of preparation he used to 111 00:07:43,000 --> 00:07:48,000 make that particular compound. Here is an example where matter 112 00:07:48,000 --> 00:07:51,000 didn't quite behave as a continuum. 113 00:07:51,000 --> 00:07:56,000 There was a discreteness of some sense to matter. 114 00:07:56,000 --> 00:08:03,000 And it really took John Dalton, an English schoolteacher with 115 00:08:03,000 --> 00:08:08,000 broad interests, to realize, or to recognize 116 00:08:08,000 --> 00:08:13,000 these observations of Priestley, of Lavoisier, 117 00:08:13,000 --> 00:08:19,000 of Proust that he could understand all of these 118 00:08:19,000 --> 00:08:25,000 observations if he resurrected the idea of Democritus, 119 00:08:25,000 --> 00:08:30,000 the idea of atomos, or atoms. 120 00:08:30,000 --> 00:08:32,000 And so he forth some postulates. 121 00:08:32,000 --> 00:08:36,000 Well, those postulates are now known as Dalton's Atomic Theory, 122 00:08:36,000 --> 00:08:39,000 but they were postulates at the time. 123 00:08:39,000 --> 00:08:44,000 And those postulates say each element is composed of atoms, 124 00:08:44,000 --> 00:08:48,000 atoms of a given element are identical and that compounds 125 00:08:48,000 --> 00:08:51,000 form when atoms of more than one element combine. 126 00:08:51,000 --> 00:08:55,000 And, of course, that atoms are not created or 127 00:08:55,000 --> 00:08:59,000 destroyed. And then, just an aside, 128 00:08:59,000 --> 00:09:03,000 Dalton, with his very broad range of interest, 129 00:09:03,000 --> 00:09:06,000 was also really the first person to document 130 00:09:06,000 --> 00:09:11,000 colorblindness in humans. Colorblindness is also called 131 00:09:11,000 --> 00:09:15,000 Daltonism. You see, we are getting you set 132 00:09:15,000 --> 00:09:19,000 for medical school already. But I want you to recognize 133 00:09:19,000 --> 00:09:24,000 here that Dalton didn't actually do any of these experiments 134 00:09:24,000 --> 00:09:27,000 himself. I think he could have, 135 00:09:27,000 --> 00:09:32,000 but he didn't. Instead he just said that if 136 00:09:32,000 --> 00:09:37,000 Lavoisier was right and Proust's observations are right, 137 00:09:37,000 --> 00:09:42,000 well, then I can understand those observations in terms of 138 00:09:42,000 --> 00:09:47,000 this framework of postulates. And I point this out because 139 00:09:47,000 --> 00:09:53,000 this is a powerful method in science, a powerful way in which 140 00:09:53,000 --> 00:09:58,000 science works in that there are often some observations 141 00:09:58,000 --> 00:10:03,000 seemingly disparate. And then somebody comes along 142 00:10:03,000 --> 00:10:05,000 and recognizes a unifying factor. 143 00:10:05,000 --> 00:10:08,000 In this case, the presence of atoms or 144 00:10:08,000 --> 00:10:11,000 discrete particles. Now, of course, 145 00:10:11,000 --> 00:10:16,000 Dalton's Atomic Theory here was not immediately accepted. 146 00:10:16,000 --> 00:10:18,000 And rightfully so. It needed further 147 00:10:18,000 --> 00:10:22,000 substantiation. And that further substantiation 148 00:10:22,000 --> 00:10:27,000 came in the form of work by this gentleman, Joseph Gay-Lussac, 149 00:10:27,000 --> 00:10:33,000 the Law of Combining Volumes. It came in the form of work by 150 00:10:33,000 --> 00:10:37,000 Lorenzo Romano Amedeo Carlo Avogadro's hypothesis. 151 00:10:37,000 --> 00:10:42,000 And here I want you to realize that, even though you didn't 152 00:10:42,000 --> 00:10:45,000 know it, you indeed can read Italian. 153 00:10:45,000 --> 00:10:50,000 It says "equal volumes of gases under the same conditions of 154 00:10:50,000 --> 00:10:55,000 temperature yield the same number of molecules or atoms." 155 00:10:55,000 --> 00:11:00,000 There you go. That is from an Italian stamp. 156 00:11:00,000 --> 00:11:04,000 You can read Italian. And that further substantiation 157 00:11:04,000 --> 00:11:09,000 came from the work of this gentleman, Ludwig Boltzmann, 158 00:11:09,000 --> 00:11:13,000 gas kinetic theory, who recognized - you know - the 159 00:11:13,000 --> 00:11:18,000 pressure of a gas that must be due to individual particles that 160 00:11:18,000 --> 00:11:24,000 are moving and that are ramming into the walls of some vessel. 161 00:11:24,000 --> 00:11:27,000 That must be what gives rise to pressure. 162 00:11:27,000 --> 00:11:30,000 And then, finally, it took a statesman, 163 00:11:30,000 --> 00:11:36,000 Cannizzaro. And what Cannizzaro did was he 164 00:11:36,000 --> 00:11:40,000 got the scientific establishment at that time, 165 00:11:40,000 --> 00:11:45,000 and the scientific establishment at that time for 166 00:11:45,000 --> 00:11:51,000 sure was a small group of pale males, to listen to Dalton's 167 00:11:51,000 --> 00:11:56,000 Atomic Theory and to the supporting data from Avogadro 168 00:11:56,000 --> 00:12:02,000 and company. And ultimately got them to say, 169 00:12:02,000 --> 00:12:05,000 yes, there is something to it here. 170 00:12:05,000 --> 00:12:11,000 And so by the late 1800s, the idea of atoms was pretty 171 00:12:11,000 --> 00:12:16,000 strongly ingrained in the scientific community. 172 00:12:16,000 --> 00:12:22,000 Now, of course nowadays we can actually see individual atoms 173 00:12:22,000 --> 00:12:28,000 for molecules. And so here is a picture of 28 174 00:12:28,000 --> 00:12:34,000 individual CO molecules arranged in the form of a little man or a 175 00:12:34,000 --> 00:12:38,000 little woman, I don't know which. 176 00:12:38,000 --> 00:12:43,000 And each one of these CO molecules is an orange ball. 177 00:12:43,000 --> 00:12:50,000 And what you are looking at are these CO molecules bound to a 178 00:12:50,000 --> 00:12:54,000 platinum surface. They are bound to a platinum 179 00:12:54,000 --> 00:13:01,000 surface such that the carbon end is down and the oxygen end is 180 00:13:01,000 --> 00:13:04,000 up. And there is a really good 181 00:13:04,000 --> 00:13:09,000 reason why the carbon end is down and the oxygen end is up. 182 00:13:09,000 --> 00:13:13,000 And Professor Cummins, whom I am going to introduce to 183 00:13:13,000 --> 00:13:16,000 you in a few minutes, is going to talk to you about 184 00:13:16,000 --> 00:13:20,000 what that really good reason is in the second half of the 185 00:13:20,000 --> 00:13:23,000 course. We know why this is case. 186 00:13:23,000 --> 00:13:27,000 What you are looking at here is really looking at the oxygen end 187 00:13:27,000 --> 00:13:31,000 of the CO molecule, because we are looking at a top 188 00:13:31,000 --> 00:13:33,000 view. All right. 189 00:13:33,000 --> 00:13:38,000 How is this image made? Well, this image was made by a 190 00:13:38,000 --> 00:13:42,000 technique called scanning tunneling microscopy that was 191 00:13:42,000 --> 00:13:46,000 invented before you were born, I am sorry to say. 192 00:13:46,000 --> 00:13:51,000 I am sorry for myself to say. It was worked on by Ruska and 193 00:13:51,000 --> 00:13:54,000 then perfected by Binnig and Rohrer. 194 00:13:54,000 --> 00:14:00,000 And they earned themselves a Nobel Prize for this work. 195 00:14:00,000 --> 00:14:04,000 And the way this techniques works is the following. 196 00:14:04,000 --> 00:14:10,000 What you are going to do is take a thin tungsten wire. 197 00:14:10,000 --> 00:14:13,000 It might be 0.01 inches in diameter. 198 00:14:13,000 --> 00:14:16,000 And you etch it down to a fine tip. 199 00:14:16,000 --> 00:14:22,000 You stick it in some potassium hydroxide, do a little 200 00:14:22,000 --> 00:14:28,000 electrochemistry and etch it down to as fine a tip as you can 201 00:14:28,000 --> 00:14:32,000 make it. Then you attach that tungsten 202 00:14:32,000 --> 00:14:37,000 wire to something called a piezoelectric crystal. 203 00:14:37,000 --> 00:14:41,000 And a piezoelectric material is one in which, 204 00:14:41,000 --> 00:14:47,000 if you put a voltage across it, you can make it expand a little 205 00:14:47,000 --> 00:14:52,000 bit, 10, 20 angstroms or so. And if you can make it expand a 206 00:14:52,000 --> 00:14:57,000 little bit like that, well, then you've got control 207 00:14:57,000 --> 00:15:02,000 on an angstrom-type level. You attach it to some 208 00:15:02,000 --> 00:15:08,000 piezoelectric crystal here then it allows you to move that 209 00:15:08,000 --> 00:15:12,000 tungsten tip by a very, very small amount. 210 00:15:12,000 --> 00:15:17,000 You bring that tungsten tip close to the top of this CO 211 00:15:17,000 --> 00:15:20,000 molecule sitting on this platinum surface. 212 00:15:20,000 --> 00:15:25,000 And say you bring it to within, oh, I don't know, 213 00:15:25,000 --> 00:15:30,000 5 angstroms or so from the oxygen atom. 214 00:15:30,000 --> 00:15:33,000 Now, the tungsten has electrons. 215 00:15:33,000 --> 00:15:40,000 And since this is a bulk metal, some of those electrons are not 216 00:15:40,000 --> 00:15:45,000 firmly attached to a particular nuclei. 217 00:15:45,000 --> 00:15:51,000 There is a sea of electrons. And what we are going to do is 218 00:15:51,000 --> 00:15:58,000 put a negative potential on that tungsten tip. 219 00:15:58,000 --> 00:16:02,000 And we are going to ground here this platinum surface. 220 00:16:02,000 --> 00:16:06,000 Now, these electrons on the tungsten, they are in this 221 00:16:06,000 --> 00:16:09,000 environment of a negative potential. 222 00:16:09,000 --> 00:16:13,000 And that is a high-energy state for them because they are 223 00:16:13,000 --> 00:16:18,000 negatively charged particles. If I were to draw here an 224 00:16:18,000 --> 00:16:22,000 energy level diagram, I am going to represent then 225 00:16:22,000 --> 00:16:26,000 the energy level of the electrons here in this tungsten, 226 00:16:26,000 --> 00:16:32,000 around this tungsten tip as some high energy over here. 227 00:16:32,000 --> 00:16:34,000 There are electrons on the tungsten. 228 00:16:34,000 --> 00:16:38,000 Whereas, the electrons associated with the platinum and 229 00:16:38,000 --> 00:16:42,000 the CO here, all of which are in contact with each other, 230 00:16:42,000 --> 00:16:46,000 well, they are at ground. That is a lower energy state 231 00:16:46,000 --> 00:16:49,000 for these negatively charged particles. 232 00:16:49,000 --> 00:16:52,000 We are going to represent it by this. 233 00:16:52,000 --> 00:16:55,000 This is the electrons on platinum. 234 00:16:55,000 --> 00:17:00,000 And so this axis here is kind of a distance access. 235 00:17:00,000 --> 00:17:03,000 These are the electrons on the tip. 236 00:17:03,000 --> 00:17:06,000 These are the electrons on the platinum. 237 00:17:06,000 --> 00:17:10,000 We are measuring kind of distance here, 238 00:17:10,000 --> 00:17:13,000 from here to here, in the vertical direction 239 00:17:13,000 --> 00:17:16,000 there. There is a thermodynamic 240 00:17:16,000 --> 00:17:22,000 driving force for the electrons on the tungsten tip to want to 241 00:17:22,000 --> 00:17:26,000 be here on the platinum, but the problem is that this 242 00:17:26,000 --> 00:17:33,000 tungsten is not in contact with this oxygen end here. 243 00:17:33,000 --> 00:17:36,000 There is a gap. And if this is in a vacuum, 244 00:17:36,000 --> 00:17:41,000 we call this a vacuum gap. And so for an electron to be 245 00:17:41,000 --> 00:17:45,000 inside of this vacuum gap, well, that is a very high 246 00:17:45,000 --> 00:17:48,000 energy state for those electrons. 247 00:17:48,000 --> 00:17:53,000 And so, if we were to look at an energy level diagram here, 248 00:17:53,000 --> 00:17:58,000 that energy actually goes up pretty high before it comes back 249 00:17:58,000 --> 00:18:02,000 down. There is a barrier to getting 250 00:18:02,000 --> 00:18:07,000 the electrons from the tip to the platinum surface. 251 00:18:07,000 --> 00:18:12,000 Well, you have seen this kind of reaction coordinate before. 252 00:18:12,000 --> 00:18:16,000 You have, I am sure. If you look at an energy level 253 00:18:16,000 --> 00:18:22,000 diagram here for some reactions, sometimes you have reactants 254 00:18:22,000 --> 00:18:28,000 here at a high energy and products here at a lower energy. 255 00:18:28,000 --> 00:18:31,000 And, in order to get from reactants to products, 256 00:18:31,000 --> 00:18:35,000 there is a barrier, an activation energy barrier. 257 00:18:35,000 --> 00:18:38,000 You called it E(act) or something like that. 258 00:18:38,000 --> 00:18:43,000 And you know that in chemical reactions typically what you 259 00:18:43,000 --> 00:18:47,000 have got to do is put energy into the system in order to get 260 00:18:47,000 --> 00:18:51,000 over this barrier before you get any energy out, 261 00:18:51,000 --> 00:18:53,000 before the reaction can proceed. 262 00:18:53,000 --> 00:18:59,000 And that is what happens in a lot of chemical reactions. 263 00:18:59,000 --> 00:19:04,000 There is a barrier and you have got to supply that energy to get 264 00:19:04,000 --> 00:19:08,000 over it before you can make the reaction go. 265 00:19:08,000 --> 00:19:12,000 But over here, in the case of electrons, 266 00:19:12,000 --> 00:19:16,000 those electrons don't act like atoms and molecules do, 267 00:19:16,000 --> 00:19:19,000 for the most part. These electrons, 268 00:19:19,000 --> 00:19:23,000 what do they do? They ignore this barrier and 269 00:19:23,000 --> 00:19:28,000 tunnel right through the barrier, go right through that 270 00:19:28,000 --> 00:19:32,000 brick wall. How can they do that? 271 00:19:32,000 --> 00:19:37,000 Well, they can do that because they are quantum mechanical 272 00:19:37,000 --> 00:19:40,000 particles. We cannot treat those electrons 273 00:19:40,000 --> 00:19:44,000 like we treat atoms and molecules which, 274 00:19:44,000 --> 00:19:48,000 for the most part, behave as classical particles. 275 00:19:48,000 --> 00:19:51,000 And, actually, this is going to be the subject 276 00:19:51,000 --> 00:19:56,000 of the first few lectures here, the need for this new kind of 277 00:19:56,000 --> 00:20:01,000 mechanics to explain phenomenon like this and to explain 278 00:20:01,000 --> 00:20:04,000 chemical bonding. All right. 279 00:20:04,000 --> 00:20:08,000 So, these electrons tunnel right through. 280 00:20:08,000 --> 00:20:13,000 What does that mean? Well, what that means here, 281 00:20:13,000 --> 00:20:17,000 for this experiment, is that if I then take and 282 00:20:17,000 --> 00:20:22,000 attach a wire to the tungsten tip and a wire to the platinum 283 00:20:22,000 --> 00:20:27,000 surface and I put an ammeter in between, I will see a 284 00:20:27,000 --> 00:20:33,000 measurement of a current. There are electrons going from 285 00:20:33,000 --> 00:20:37,000 this tungsten tip to this platinum surface. 286 00:20:37,000 --> 00:20:41,000 I measure a current. Well, that is nice. 287 00:20:41,000 --> 00:20:45,000 But now, from that, how do I get this image of 288 00:20:45,000 --> 00:20:50,000 these 28 CO molecules? Well, what I do is I also have 289 00:20:50,000 --> 00:20:55,000 this tungsten tip mounted not only on a piezoelectric crystal 290 00:20:55,000 --> 00:21:00,000 that allows me to go up and down. 291 00:21:00,000 --> 00:21:04,000 But another piezoelectric crystal, which allows me to move 292 00:21:04,000 --> 00:21:08,000 it from side to side with control on the order of an 293 00:21:08,000 --> 00:21:11,000 angstrom. I can take the tungsten tip and 294 00:21:11,000 --> 00:21:15,000 I am going to move it over by a certain amount. 295 00:21:15,000 --> 00:21:20,000 And exactly I am going to know that certain amount is because I 296 00:21:20,000 --> 00:21:22,000 calibrated my piezoelectric crystal. 297 00:21:22,000 --> 00:21:26,000 But now, when I move that tungsten tip over, 298 00:21:26,000 --> 00:21:31,000 what is going to happen to this current here? 299 00:21:31,000 --> 00:21:33,000 Pardon? It is going to go down. 300 00:21:33,000 --> 00:21:37,000 It is going to plummet. It is going to go to zero. 301 00:21:37,000 --> 00:21:39,000 Why? Because when I move this tip 302 00:21:39,000 --> 00:21:44,000 over, I increase the distance between the end of the tip and 303 00:21:44,000 --> 00:21:48,000 the oxygen onto the molecule. And when I increase the 304 00:21:48,000 --> 00:21:51,000 distance, what I do is make this barrier wider. 305 00:21:51,000 --> 00:21:56,000 And the wider the barrier is, the more difficult it is for 306 00:21:56,000 --> 00:22:00,000 those electrons to tunnel through. 307 00:22:00,000 --> 00:22:03,000 And so the current actually goes down. 308 00:22:03,000 --> 00:22:08,000 To compensate for that, I am now going to take the 309 00:22:08,000 --> 00:22:14,000 tungsten tip and move it down by just enough such that I 310 00:22:14,000 --> 00:22:19,000 reestablish the current that I originally have. 311 00:22:19,000 --> 00:22:23,000 And, of course, I know exactly by how much I 312 00:22:23,000 --> 00:22:27,000 moved it down because, again, I have my tip 313 00:22:27,000 --> 00:22:32,000 calibrated. I've got two points now. 314 00:22:32,000 --> 00:22:35,000 I need a third point. I am going to take that 315 00:22:35,000 --> 00:22:40,000 tungsten tip and I am going to move it over again. 316 00:22:40,000 --> 00:22:43,000 Again, the current is going to go down. 317 00:22:43,000 --> 00:22:48,000 But, in order to reestablish the original current I had, 318 00:22:48,000 --> 00:22:51,000 I am going to move this down further. 319 00:22:51,000 --> 00:22:56,000 And, again, I will know how much I move the tip over and I 320 00:22:56,000 --> 00:23:02,000 will know exactly how much I move the tip down. 321 00:23:02,000 --> 00:23:05,000 To get that image, I am going to provide a color 322 00:23:05,000 --> 00:23:08,000 code. I am going to say that when the 323 00:23:08,000 --> 00:23:12,000 tungsten tip is the largest distance away from the surface, 324 00:23:12,000 --> 00:23:17,000 well, then that is going to show up here on this picture and 325 00:23:17,000 --> 00:23:20,000 it is going to show up as a very light color. 326 00:23:20,000 --> 00:23:24,000 That is the highest points. When the tungsten tip is a 327 00:23:24,000 --> 00:23:27,000 little bit closer to the surface, well, 328 00:23:27,000 --> 00:23:32,000 that is going to show up as the darker colors. 329 00:23:32,000 --> 00:23:37,000 And, as it gets lower and lower and lower, it is going to be 330 00:23:37,000 --> 00:23:42,000 deeper and deeper orangey. Finally, when I am actually 331 00:23:42,000 --> 00:23:47,000 tunneling to the platinum surface, instead of a CO 332 00:23:47,000 --> 00:23:51,000 molecule, I am going to make that a blue color. 333 00:23:51,000 --> 00:23:56,000 That is how we get the image of this molecular man. 334 00:23:56,000 --> 00:24:02,000 Now, you do see that these CO molecules are in the form of a 335 00:24:02,000 --> 00:24:07,000 little person. This does not represent, 336 00:24:07,000 --> 00:24:12,000 in the most au courant language, intelligent design. 337 00:24:12,000 --> 00:24:17,000 Rather, this represents the work of a very patient 338 00:24:17,000 --> 00:24:21,000 experimentalist, i.e., graduate student, 339 00:24:21,000 --> 00:24:26,000 who spent 24 hours, and I know this to be the case, 340 00:24:26,000 --> 00:24:33,000 moving these CO molecules into this particular arrangement. 341 00:24:33,000 --> 00:24:36,000 How did he do that? Well, how he did that is the 342 00:24:36,000 --> 00:24:38,000 following. What he did was took this 343 00:24:38,000 --> 00:24:43,000 platinum surface and then opened up a bottle of CO in the vacuum 344 00:24:43,000 --> 00:24:46,000 chamber, or let some CO into the vacuum chamber, 345 00:24:46,000 --> 00:24:50,000 and the molecules just absorbed anywhere they wanted to, 346 00:24:50,000 --> 00:24:54,000 well, sort of anywhere they wanted to on this platinum 347 00:24:54,000 --> 00:24:55,000 surface. First of all, 348 00:24:55,000 --> 00:25:00,000 he had to figure out where the molecules were. 349 00:25:00,000 --> 00:25:05,000 The soccer balls are the CO molecules and the tungsten tip 350 00:25:05,000 --> 00:25:10,000 here is my leg and my foot. And so the first thing he did 351 00:25:10,000 --> 00:25:15,000 was scan the surface in order to figure out where the CO 352 00:25:15,000 --> 00:25:20,000 molecules are and goes, okay, I know where they are. 353 00:25:20,000 --> 00:25:26,000 Then he brought this tip down right next to one of the CO 354 00:25:26,000 --> 00:25:30,000 molecules. Then he gave that piezoelectric 355 00:25:30,000 --> 00:25:35,000 crystal a pulse of voltage which jerked it and the CO molecule 356 00:25:35,000 --> 00:25:37,000 went flying away. Well, that is nice, 357 00:25:37,000 --> 00:25:41,000 but now where is it? Again, you have got to go scan 358 00:25:41,000 --> 00:25:44,000 along the whole surface to find it. 359 00:25:44,000 --> 00:25:46,000 Well, he pushed it over too far. 360 00:25:46,000 --> 00:25:50,000 Now we have got to come over here, put the tip down, 361 00:25:50,000 --> 00:25:54,000 give another voltage pulse before his tip breaks. 362 00:25:54,000 --> 00:25:57,000 Well, you get the idea. 24 hours later, 363 00:25:57,000 --> 00:26:02,000 you've got it. This is the beginnings of 364 00:26:02,000 --> 00:26:07,000 nanotechnology. You can see that it is going to 365 00:26:07,000 --> 00:26:12,000 be a long time before manipulation of individual atoms 366 00:26:12,000 --> 00:26:16,000 and molecules like this, one at a time, 367 00:26:16,000 --> 00:26:21,000 before that competes effectively with synthesis in a 368 00:26:21,000 --> 00:26:27,000 beaker where you get the molecules right where you want 369 00:26:27,000 --> 00:26:32,000 them because of chemistry instead of this mechanical 370 00:26:32,000 --> 00:26:38,000 manipulation. Well, even though 100 years ago 371 00:26:38,000 --> 00:26:46,000 these direct observations of atoms and molecules was not 372 00:26:46,000 --> 00:26:53,000 possible, it was by the late 1800s pretty well accepted, 373 00:26:53,000 --> 00:26:59,000 or the evidence for the atomic structure of matter, 374 00:26:59,000 --> 00:27:05,000 atoms as the most basic constituent of matter, 375 00:27:05,000 --> 00:27:12,000 that evidence was really pretty compelling. 376 00:27:12,000 --> 00:27:14,000 And, in fact, by the late 1800s, 377 00:27:14,000 --> 00:27:20,000 it was basically believed that the theoretical structure of the 378 00:27:20,000 --> 00:27:24,000 universe was complete. Nature was understood. 379 00:27:24,000 --> 00:27:29,000 There were no big discoveries to be made yet. 380 00:27:29,000 --> 00:27:32,000 And, in fact, there was some justification 381 00:27:32,000 --> 00:27:36,000 for that attitude, because certainly by the late 382 00:27:36,000 --> 00:27:40,000 1800s Newtonian mechanics, the mechanics that described 383 00:27:40,000 --> 00:27:45,000 how bodies all around us moved, including astronomical bodies, 384 00:27:45,000 --> 00:27:49,000 well, that had already been known for over 200 years. 385 00:27:49,000 --> 00:27:53,000 Thermodynamics was formulated already by that time. 386 00:27:53,000 --> 00:27:59,000 Statistical mechanics was also formulated by that time. 387 00:27:59,000 --> 00:28:03,000 Statistical mechanics is a field that relates the 388 00:28:03,000 --> 00:28:08,000 microscopic description of matter to the macroscopic 389 00:28:08,000 --> 00:28:12,000 behavior of matter. And, very importantly, 390 00:28:12,000 --> 00:28:17,000 there were experiments by Young, Fresnel and Hertz that 391 00:28:17,000 --> 00:28:23,000 seemed to put to rest the notion that light was a particle. 392 00:28:23,000 --> 00:28:28,000 Those experiments really nailed, or seemed to nail the 393 00:28:28,000 --> 00:28:35,000 idea of light as a wave, light has wavelike particles. 394 00:28:35,000 --> 00:28:40,000 They verified Maxwell's equations that unified the 395 00:28:40,000 --> 00:28:44,000 fields of optics and electromagnetism. 396 00:28:44,000 --> 00:28:50,000 All of these accomplishments surely did justify a very proud 397 00:28:50,000 --> 00:28:56,000 feeling amongst the scientific community. 398 00:28:56,000 --> 00:29:00,000 And, at that time, the feeling was that the work 399 00:29:00,000 --> 00:29:05,000 that remained was largely to investigate the next decimal 400 00:29:05,000 --> 00:29:10,000 place and that is it. Well, if you look really 401 00:29:10,000 --> 00:29:13,000 carefully, though, at the evidence, 402 00:29:13,000 --> 00:29:17,000 even with all of these accomplishments, 403 00:29:17,000 --> 00:29:21,000 there were beginning to be, in the late 1800s, 404 00:29:21,000 --> 00:29:25,000 some experiments that were suggesting that, 405 00:29:25,000 --> 00:29:30,000 one, maybe the atom was not the most basic constituent of 406 00:29:30,000 --> 00:29:35,000 matter. That was the first set of 407 00:29:35,000 --> 00:29:39,000 measurements that indicated something was amiss, 408 00:29:39,000 --> 00:29:44,000 the fact that the atom wasn't the most elementary particle. 409 00:29:44,000 --> 00:29:48,000 And we are going to look at these sets of measurements. 410 00:29:48,000 --> 00:29:53,000 Second, the other observation that hinted that this classical 411 00:29:53,000 --> 00:29:58,000 thinking as amiss was the observation of the photoelectric 412 00:29:58,000 --> 00:30:02,000 effect. Because the photoelectric 413 00:30:02,000 --> 00:30:07,000 effect, what it did was it showed that light was behaving 414 00:30:07,000 --> 00:30:12,000 like a particle and not a wave, and that sent a lot of 415 00:30:12,000 --> 00:30:17,000 consternation throughout the scientific community. 416 00:30:17,000 --> 00:30:21,000 We are going to look at these two tracks. 417 00:30:21,000 --> 00:30:27,000 And we are going to start by talking about the fact that the 418 00:30:27,000 --> 00:30:33,000 atom is not the most basic constituent of matter. 419 00:30:33,000 --> 00:30:38,000 That at least you can divide the atom up into an electron and 420 00:30:38,000 --> 00:30:42,000 a nucleus. We are going to start here with 421 00:30:42,000 --> 00:30:43,000 this gentleman, J.J. 422 00:30:43,000 --> 00:30:46,000 Thompson. Remember that name. 423 00:30:46,000 --> 00:30:50,000 It is going to come back. Discovery of the electron. 424 00:30:50,000 --> 00:30:52,000 This is 1897. What J.J. 425 00:30:52,000 --> 00:30:57,000 Thompson was interested in doing was understanding what a 426 00:30:57,000 --> 00:31:03,000 discharge was, or what made up a discharge. 427 00:31:03,000 --> 00:31:07,000 For example, if you have a glass vessel that 428 00:31:07,000 --> 00:31:12,000 you evacuate and then you have a cathode in that glass vessel and 429 00:31:12,000 --> 00:31:18,000 you have an anode in that glass vessel, and you also put some 430 00:31:18,000 --> 00:31:23,000 molecular hydrogen in it, fill it up with molecular 431 00:31:23,000 --> 00:31:26,000 hydrogen. But now what you do is put a 432 00:31:26,000 --> 00:31:32,000 negative voltage on the cathode and a positive voltage on the 433 00:31:32,000 --> 00:31:36,000 anode. And you crank up the potential 434 00:31:36,000 --> 00:31:39,000 energy difference, the voltage difference between 435 00:31:39,000 --> 00:31:43,000 the cathode and the anode. And you keep cranking it up. 436 00:31:43,000 --> 00:31:47,000 You have to get really pretty high, but at some point all of a 437 00:31:47,000 --> 00:31:51,000 sudden what happens is that the gas here begins to blow. 438 00:31:51,000 --> 00:31:54,000 And you get the establishment of this discharge, 439 00:31:54,000 --> 00:31:56,000 this plasma. And J.J. 440 00:31:56,000 --> 00:32:00,000 Thompson was just interested in finding out what was in this 441 00:32:00,000 --> 00:32:04,000 plasma. What he did to investigate it 442 00:32:04,000 --> 00:32:10,000 is he punched a hole in this anode right here and let out a 443 00:32:10,000 --> 00:32:15,000 little bit of this plasma. He let it impinge on a kind of 444 00:32:15,000 --> 00:32:20,000 phosphor screen here. Even though the plasma leaking 445 00:32:20,000 --> 00:32:26,000 out was kind of glowing in the dark, well, it also was glowing 446 00:32:26,000 --> 00:32:31,000 when it hit the phosphor screen. That lit up. 447 00:32:31,000 --> 00:32:38,000 But then he took a pair of parallel metal plates above and 448 00:32:38,000 --> 00:32:45,000 below this luminous beam and put a potential difference on them, 449 00:32:45,000 --> 00:32:49,000 some delta V. And this delta V is just a 450 00:32:49,000 --> 00:32:57,000 fraction of what this delta V is, so it is very small. 451 00:32:57,000 --> 00:33:01,000 But what he noticed is that some of this luminous beam was 452 00:33:01,000 --> 00:33:06,000 actually attracted toward that positively charged plate. 453 00:33:06,000 --> 00:33:11,000 And so, if you have got something that is attracted to 454 00:33:11,000 --> 00:33:16,000 this positively charged plate, what does it mean about this 455 00:33:16,000 --> 00:33:19,000 particle? It is negatively charged. 456 00:33:19,000 --> 00:33:22,000 It is just Coulomb's interaction. 457 00:33:22,000 --> 00:33:27,000 And he could measure right here the amount of deflection from 458 00:33:27,000 --> 00:33:32,000 the center line. I am going to call that amount 459 00:33:32,000 --> 00:33:38,000 of deflection delta X sub minus to indicate that 460 00:33:38,000 --> 00:33:42,000 this looks like a negatively charged particle. 461 00:33:42,000 --> 00:33:47,000 Now, Thompson also knew enough electromagnetism at that time to 462 00:33:47,000 --> 00:33:53,000 realize that the amount of that deflection has to be directly 463 00:33:53,000 --> 00:33:58,000 proportional to the charge on that particle. 464 00:33:58,000 --> 00:34:01,000 In other words, the greater the charge the 465 00:34:01,000 --> 00:34:06,000 larger the deflection. I am going to represent that 466 00:34:06,000 --> 00:34:11,000 charge by E sub minus. He also recognized that the 467 00:34:11,000 --> 00:34:15,000 heavier that particle, the more difficult it is going 468 00:34:15,000 --> 00:34:21,000 to be to deflect the particle to the positively charged plate. 469 00:34:21,000 --> 00:34:25,000 That amount of deflection is going to be inversely 470 00:34:25,000 --> 00:34:32,000 proportional to the mass of that negatively charged particle. 471 00:34:32,000 --> 00:34:35,000 But then Thompson did a further experiment. 472 00:34:35,000 --> 00:34:40,000 He increased delta V even more. And here, I am taking a little 473 00:34:40,000 --> 00:34:44,000 liberty with the story. It is a little bit more 474 00:34:44,000 --> 00:34:49,000 complicated, but I am just trying to get the essence here 475 00:34:49,000 --> 00:34:52,000 across. He cranked this up some more. 476 00:34:52,000 --> 00:34:56,000 And then, if you looked really, really carefully, 477 00:34:56,000 --> 00:35:01,000 what happened is he also saw some of this being deflected 478 00:35:01,000 --> 00:35:06,000 toward the negatively charged plate. 479 00:35:06,000 --> 00:35:08,000 Indicating that, lo and behold, 480 00:35:08,000 --> 00:35:14,000 there must also be some positively charged particles in 481 00:35:14,000 --> 00:35:18,000 this luminous beam. And he called that deflection 482 00:35:18,000 --> 00:35:25,000 delta X sub plus. Again, the amount of deflection 483 00:35:25,000 --> 00:35:30,000 for the positively charged particles has to be proportional 484 00:35:30,000 --> 00:35:36,000 to the charge on that positively charged particle and inversely 485 00:35:36,000 --> 00:35:44,000 proportional to the mass of that positively charged particle. 486 00:35:44,000 --> 00:35:49,000 But the other critical observation that he made was 487 00:35:49,000 --> 00:35:54,000 that the amount of deflection for a given voltage, 488 00:35:54,000 --> 00:35:59,000 for that negatively charged particle was much, 489 00:35:59,000 --> 00:36:05,000 much larger that the amount of deflection for the positively 490 00:36:05,000 --> 00:36:10,000 charged particle. That is the evidence. 491 00:36:10,000 --> 00:36:15,000 Now we have to think. Now we have to make some 492 00:36:15,000 --> 00:36:19,000 guesses. What he guessed is that the 493 00:36:19,000 --> 00:36:25,000 positively charged particles here were H plus. 494 00:36:25,000 --> 00:36:31,000 How did he know that? Well, what he did know is that 495 00:36:31,000 --> 00:36:35,000 in this plasma there were some neutral hydrogen atoms. 496 00:36:35,000 --> 00:36:39,000 He knew that. How he knew that I am going to 497 00:36:39,000 --> 00:36:43,000 tell you, or we are going to talk about in a few days. 498 00:36:43,000 --> 00:36:48,000 But he knew that this plasma takes the H two molecule 499 00:36:48,000 --> 00:36:52,000 and tears it apart and makes hydrogen atoms. 500 00:36:52,000 --> 00:36:56,000 And he knew it was neutral. And so he reasoned that what 501 00:36:56,000 --> 00:37:01,000 must be happening is that something has to be coming off 502 00:37:01,000 --> 00:37:08,000 of this hydrogen atom to make it a positively charged particle. 503 00:37:08,000 --> 00:37:11,000 He said, okay, this is going to be H plus. 504 00:37:11,000 --> 00:37:14,000 But then, because this was 505 00:37:14,000 --> 00:37:18,000 neutral to begin with, whatever came off of the 506 00:37:18,000 --> 00:37:22,000 hydrogen has to be that negatively charged particle so 507 00:37:22,000 --> 00:37:26,000 that when they come together they are neutral, 508 00:37:26,000 --> 00:37:30,000 because a hydrogen atom is neutral. 509 00:37:30,000 --> 00:37:33,000 And, of course, ultimately that negatively 510 00:37:33,000 --> 00:37:37,000 charged particle was called an electron. 511 00:37:37,000 --> 00:37:41,000 But the key point is that he said, well, it must be then, 512 00:37:41,000 --> 00:37:47,000 when these two particles come together, you are going to have 513 00:37:47,000 --> 00:37:51,000 a neutral particle. It must be that the absolute 514 00:37:51,000 --> 00:37:56,000 magnitude of the charge on that negatively charged particle, 515 00:37:56,000 --> 00:38:00,000 the electron, that has to equal the magnitude 516 00:38:00,000 --> 00:38:04,000 of the charge on that positively charged particle, 517 00:38:04,000 --> 00:38:10,000 this hydrogen plus ion. That was the conjecture. 518 00:38:10,000 --> 00:38:17,000 Well, if that is the case, if I then take a ratio of delta 519 00:38:17,000 --> 00:38:24,000 X minus the delta X plus, what I am going to get here is 520 00:38:24,000 --> 00:38:30,000 just that it will be equal to the mass of the hydrogen ion 521 00:38:30,000 --> 00:38:37,000 divided by the mass of this negatively charged particle, 522 00:38:37,000 --> 00:38:42,000 the electron. But the observation here is 523 00:38:42,000 --> 00:38:46,000 that this deflection, for the negatively charged 524 00:38:46,000 --> 00:38:51,000 particle, is much larger than it was for the positively charged 525 00:38:51,000 --> 00:38:53,000 particle. That must mean, 526 00:38:53,000 --> 00:38:58,000 if this is an equality, that the mass of this hydrogen 527 00:38:58,000 --> 00:39:03,000 ion is much, much greater than the mass of this negatively 528 00:39:03,000 --> 00:39:07,000 charged particle, the electron. 529 00:39:07,000 --> 00:39:09,000 And this is the stunning result. 530 00:39:09,000 --> 00:39:13,000 It is stunning because, at the time, 531 00:39:13,000 --> 00:39:18,000 it was already known that a hydrogen atom is the least 532 00:39:18,000 --> 00:39:22,000 massive atom. There wasn't evidence for any 533 00:39:22,000 --> 00:39:27,000 other atom less massive than a hydrogen atom. 534 00:39:27,000 --> 00:39:29,000 And so here, in this experiment, 535 00:39:29,000 --> 00:39:34,000 what we are finding is that there is a particle that is less 536 00:39:34,000 --> 00:39:39,000 massive than the hydrogen atom. You can chop the hydrogen atom 537 00:39:39,000 --> 00:39:42,000 up. The atom is not the most basic 538 00:39:42,000 --> 00:39:46,000 constituent of matter. There is some other particle 539 00:39:46,000 --> 00:39:50,000 here, which we are going to call an electron, that is less 540 00:39:50,000 --> 00:39:55,000 massive than a hydrogen atom. That was the first piece of 541 00:39:55,000 --> 00:39:59,000 evidence for being able to split that hydrogen atom, 542 00:39:59,000 --> 00:40:04,000 or that atom up into smaller particles. 543 00:40:04,000 --> 00:40:08,000 The first evidence that the atom was not the most basic 544 00:40:08,000 --> 00:40:12,000 constituent of matter. Now, it took another ten years, 545 00:40:12,000 --> 00:40:17,000 the Millikan oil-drop experiment, for this ratio to 546 00:40:17,000 --> 00:40:22,000 actually be measured accurately and for the mass of the electron 547 00:40:22,000 --> 00:40:26,000 to actually be measured accurately. 548 00:40:26,000 --> 00:40:30,000 And what we now know is that it takes 1,836 masses of the 549 00:40:30,000 --> 00:40:33,000 electron to equal the mass of a hydrogen atom.