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