0:00:00.120,0:00:02.970 - [Lecturer] As we continue[br]into our journey of chemistry, 0:00:02.970,0:00:05.430 we're gonna gain more[br]and more appreciation 0:00:05.430,0:00:07.170 for the periodic table of elements. 0:00:07.170,0:00:09.570 We're gonna realize that it[br]gives us all sorts of insights 0:00:09.570,0:00:11.850 about how different elements[br]relate to each other. 0:00:11.850,0:00:14.430 And we're gonna talk about[br]one of those insights, 0:00:14.430,0:00:17.190 and that's atomic radii trends. 0:00:17.190,0:00:18.480 So we're gonna talk about, 0:00:18.480,0:00:21.150 by looking at the act table of elements, 0:00:21.150,0:00:26.150 can we deduce how the[br]different sizes of these atoms 0:00:26.370,0:00:28.200 might relate to each other? 0:00:28.200,0:00:30.720 So let's just start with[br]the group one elements 0:00:30.720,0:00:31.560 right over here. 0:00:31.560,0:00:34.740 So we're in this first column. 0:00:34.740,0:00:37.320 What do you think is going[br]to happen to the radius 0:00:37.320,0:00:41.190 of these atoms as we go[br]down this first column? 0:00:41.190,0:00:45.060 As we go from hydrogen to[br]lithium, sodium, potassium, 0:00:45.060,0:00:46.623 so on and so forth? 0:00:47.700,0:00:49.800 Well, you might be thinking,[br]"Well, as we go down this, 0:00:49.800,0:00:52.020 we're adding a lot more electrons." 0:00:52.020,0:00:53.220 The outermost electrons, 0:00:53.220,0:00:55.500 even though we have the same[br]number of valence electrons, 0:00:55.500,0:00:58.860 we have one valence electron[br]for everything in group one, 0:00:58.860,0:01:00.900 that one valence electron is at a higher 0:01:00.900,0:01:02.160 and higher energy level. 0:01:02.160,0:01:05.640 It is at a further and[br]further out energy shell. 0:01:05.640,0:01:09.870 And so one way to think about[br]it is, if you have the nucleus 0:01:09.870,0:01:11.670 of an atom here 0:01:11.670,0:01:15.120 and you have that one[br]valence electron out here, 0:01:15.120,0:01:17.460 well, the more that[br]you go down this group, 0:01:17.460,0:01:20.760 you're gonna have more[br]electrons in between, 0:01:20.760,0:01:21.750 in between... (chuckles) 0:01:21.750,0:01:23.250 This is a pretty messy drawing. 0:01:23.250,0:01:26.880 In between that nucleus[br]and that valence electron. 0:01:26.880,0:01:29.610 And that valence electron[br]is going to be further 0:01:29.610,0:01:33.090 and further out because it's[br]at a higher energy level. 0:01:33.090,0:01:36.480 So because of that,[br]one, you have shielding 0:01:36.480,0:01:39.630 from these inner electrons[br]from that positive nucleus, 0:01:39.630,0:01:42.390 and this is at a higher[br]and higher energy level. 0:01:42.390,0:01:46.710 As you go down this group,[br]the radius increases. 0:01:46.710,0:01:48.386 So let me write that down. 0:01:48.386,0:01:49.710 Increases. 0:01:49.710,0:01:50.610 What are we talking about? 0:01:50.610,0:01:53.580 We're talking about[br]atomic radii increases. 0:01:53.580,0:01:56.940 So for example, cesium or,[br]well, let's go with francium. 0:01:56.940,0:02:01.940 Francium is a much larger[br]atom than hydrogen. 0:02:02.040,0:02:04.860 Now what happens if we[br]were to go horizontally? 0:02:04.860,0:02:09.150 What happens if we were to[br]go across a period here? 0:02:09.150,0:02:11.190 So let me do it in different color. 0:02:11.190,0:02:13.140 What if we were to go, if[br]we were to look at, say, 0:02:13.140,0:02:16.800 period four, and if we[br]were to go from potassium 0:02:16.800,0:02:20.160 to the right all the way to krypton? 0:02:20.160,0:02:21.450 What do you think is going to happen here? 0:02:21.450,0:02:22.620 I mean, think about it for a second 0:02:22.620,0:02:24.480 before I explain it to you. 0:02:24.480,0:02:26.700 All right, so this is the situation 0:02:26.700,0:02:29.820 where we're going to keep adding electrons 0:02:29.820,0:02:31.350 as we move to the right, 0:02:31.350,0:02:33.450 but you're not going[br]to be adding electrons 0:02:33.450,0:02:36.090 to higher and higher energy levels. 0:02:36.090,0:02:37.770 You're either going to be backfilling 0:02:37.770,0:02:39.510 in the transition elements, 0:02:39.510,0:02:41.460 or you're going to be adding electrons 0:02:41.460,0:02:44.280 to your valence shell. 0:02:44.280,0:02:47.250 So you're not having higher[br]and higher energy electrons, 0:02:47.250,0:02:50.310 so they're not gonna be any[br]further away from that nucleus. 0:02:50.310,0:02:52.500 But as you go from left to right 0:02:52.500,0:02:56.250 across one of these periods,[br]you're adding protons. 0:02:56.250,0:02:59.040 So you're making the center of that atom 0:02:59.040,0:03:01.740 more and more positively charged. 0:03:01.740,0:03:04.590 So it's going to pull in[br]those outer shell electrons 0:03:04.590,0:03:06.570 more and more and more. 0:03:06.570,0:03:09.330 So based on that, you would expect to see 0:03:09.330,0:03:14.330 that the radius decreases[br]as you go from left to right 0:03:14.880,0:03:17.190 along the periodic table of elements. 0:03:17.190,0:03:19.380 And we can confirm this intuition 0:03:19.380,0:03:20.850 by looking at this plot here. 0:03:20.850,0:03:22.830 So what this is doing is 0:03:22.830,0:03:25.980 it's plotting every element[br]in the periodic table 0:03:25.980,0:03:28.680 of elements based on its atomic number 0:03:28.680,0:03:30.210 and its atomic radius. 0:03:30.210,0:03:33.210 So for example, this right[br]over here is hydrogen, 0:03:33.210,0:03:36.120 and then your atomic number[br]increases, you're at helium, 0:03:36.120,0:03:37.980 and our intuition is correct. 0:03:37.980,0:03:41.370 It looks like the radius has decreased. 0:03:41.370,0:03:43.560 And then we go into the second period. 0:03:43.560,0:03:47.880 And actually, let me just[br]show each period here. 0:03:47.880,0:03:50.790 So if we go into period two here, 0:03:50.790,0:03:52.830 lithium has the largest radius. 0:03:52.830,0:03:56.670 And as we go from left[br]to right in period two, 0:03:56.670,0:03:59.730 we get to smaller and smaller radii. 0:03:59.730,0:04:04.730 Now if we go to period three,[br]we see the same trend again. 0:04:05.520,0:04:10.260 So we see, confirmed in the[br]actual data, that trend, 0:04:10.260,0:04:13.050 that as you go from left[br]to right on a period, 0:04:13.050,0:04:16.560 the radii or the radius decreases. 0:04:16.560,0:04:19.980 Now let's think about a group,[br]which is where we started. 0:04:19.980,0:04:23.250 Well, across or up, down, any group, 0:04:23.250,0:04:25.200 if we go to group one right over here, 0:04:25.200,0:04:26.790 we see that intuition. 0:04:26.790,0:04:29.970 You go from hydrogen to[br]lithium to sodium to krypton, 0:04:29.970,0:04:32.100 all the way to cesium here, 0:04:32.100,0:04:35.070 we have our radius is increasing 0:04:35.070,0:04:38.340 as we're adding higher[br]and higher energy shells. 0:04:38.340,0:04:40.890 You see the same thing with group two. 0:04:40.890,0:04:44.580 This is the second column in[br]the periodic table of elements. 0:04:44.580,0:04:47.583 So the data confirms our intuition.