tag:blogger.com,1999:blog-90802218882491704362012-02-11T09:58:47.201+08:00The wonderful world of beaded fullerenesBih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.comBlogger5291100tag:blogger.com,1999:blog-9080221888249170436.post-44901425336958177922012-02-11T09:57:00.000+08:002012-02-11T09:58:47.222+08:00

There could be thousands of VB (valence bond) structures or resonance forms of C70. Here are four possible VB structures.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-32032604894121064182012-02-09T14:41:00.000+08:002012-02-10T07:48:01.571+08:00

I made another super carbon tetrahedron (超級碳正四面體) consisting of four fused C60s with 8mm beads. Unlike the previous one, the two neighbored C60s are connected by a ring of hexagons.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-61768186950728311142012-02-07T18:45:00.001+08:002012-02-09T19:36:34.769+08:00

N asked me about the cube kaleidoscope Chern posted before. If you are interested in getting instructions and materials for making your own cube kaleidoscope, you should contact Prof. Takaaki Sonoda (園田 高明) of Kyushu University (九州大學). (reports about him in Czechish??? and in Japanese). Here I just want to show the other two cube kaleidoscopes, kaleidostereochemistry and kaleidogarden, I

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-67506465119443968032012-01-16T10:50:00.001+08:002012-01-16T11:49:12.395+08:00

Wikipedia has a resonance structure of C60 in its "Buckminsterfullerene" item. I made a bead model with color code according to this resonance form last weekend. Again one can see the interesing pattern of this resonance structure. Also white beads (or single bonds) form a long connected one-dimensional loop. I also tried to make another resonance structure by only paying attention to the

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-55524505861206574252012-01-15T17:19:00.000+08:002012-01-19T16:12:29.512+08:00

(WARNING) This post has nothing to do with beading. I still hope that some of you might be interested in the discussion. At the beginning of the 2008 election year, the local Kuomintang (KMT) party of Taiwan had a landslide victory in parliamentary election by winning the 80% of the seat out of 58% of the total population votes. Here, I have recalculated the fractions of seats and votes

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-91620775096637132272012-01-13T18:40:00.002+08:002012-01-13T21:18:41.377+08:00

I am planning on writing some articles in Chinese about beading and science for the local science magazine "Science Monthly (科學月刊)". The first article entitled "八字編與正多面體" (Figure Eight Stitch and Platonic Solids) in this series "珠璣科學 (Zhu-Ji Science)" has just shown up in pp. 72-73 of the January issue. According to the ancient Chinese dictionary Shuōwén Jiězì (說文解字）, published in the early 2nd

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-27351655123762827202012-01-10T12:33:00.001+08:002012-01-10T15:56:41.766+08:00

I wrote an article, Molecular Modeling of Fullerenes with Beads, with Prof. Louis Cuccia and his coworkers last year. This article is now available on the Journal of Chemical Education website. The supporting material of this article gives a very detailed description on how to make a beaded C60.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-81770072808193513332012-01-04T10:25:00.000+08:002012-01-09T15:44:46.465+08:00

There will be an exhibition about mathematics and art in the Joint Mathematics Meetings held at the Hall D (second level) of Hynes Convention Center, Boston from 1/4 to 1/7, 2012. Chern, Wei-Chi and I have three artworks for this exhibition. If any of you lives or happens to be in the New England close to the Boston area these few days, you are more than welcome to come and share your comments

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-40991663241898947882012-01-03T10:49:00.002+08:002012-01-04T10:52:02.073+08:00

Chern and I constructed many bead models of toroidal carbon nanotubes (TCNTs) in the last few years. We understand pretty well about the relationship among different kinds of TCNTs. Based on the spatial arrangement of 5- and 7-gons, we discovered that we can classify these achiral TCNTs into 8 structural types with well-defined latitudes and 5 other miscellaneous cases which may not have

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-9715670940136572222011-12-30T20:07:00.002+08:002011-12-30T20:07:50.153+08:00

Many years ago, Chern made this genus-2 TCNT consisting basically of two 6-fold D6h donuts. I seem to never post it here before. It should be easy to design other similar two-layer 2-dimensional structures.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-50937594616969246602011-12-29T11:20:00.000+08:002011-12-30T19:53:55.725+08:00

I found in my iphoto library a few photos I took four years ago in St. Petersburg. I was one of four coaches of Taiwan team for the International Chemistry Olympiad(IChO), held in the Moscow State University. Our students got two gold medals and two silver medals after about 10 days of hard work in Moscow. We then went to St. Petersburg for another 3 days. St. Petersburg is a beautiful city. I

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-83413859824615264252011-12-22T11:25:00.000+08:002011-12-22T11:25:02.890+08:00

I went to the Little Mama Bear on the Yan-Ping North road last weekend and took a few photos on the beadworks shown in its display case. The designs of these beadworks are pretty cool. Some of them such as pineapples have a direct connection to the fullerenes. Some others created by right-angle weave have no direct microscopic relation.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-68560699152483527882011-12-17T21:06:00.000+08:002012-02-09T14:55:46.852+08:00

The north hemisphere of the super Buckyball might be used as a Bucky doghouse. I tested it with my niece's brown poodle dog last weekend. But apparently he didn't like to be put inside it. It is still too small for him.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-16524471330063292192011-12-15T11:18:00.000+08:002011-12-16T21:17:53.299+08:00

I went to the Taipei First Girls High School (TFGH) a few times last week to work on the super Buckyball with chemistry teachers and students. Outside the teachers' office, there are a number of beautiful bead models hung right under the corridor ceiling. Many students also wrote their wishes on paper strips attached to their models. Many of them are quite interesting and fun.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-49681589093900981172011-12-11T22:01:00.001+08:002012-02-09T14:54:29.143+08:00

After about ten days of hard working, we finally created this fabulous super Buckyball. I have to thank the alumni association of the Taipei First Girls High School (TFGH), especially the classes 1981, 1971, and 1961, who kindly sponsor this project and donate this super Buckyball to the TFGH as a gift from their 30-, 40-, and 50-years joint reunion. Of course, the crucial collaborative effort

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-1800835540844230362011-12-09T21:02:00.001+08:002012-02-09T14:54:56.744+08:00

The first super Buckyball, C4500, was created by students (class 3Gong 三恭) from the Taipei First Girls High School (TFGH) 北一女中 today. Each unit in this beautiful bead model is a punched C60 with three holes surrounded by a neck of five heptagons. It took them exactly one week to construct it. The diameter of this small super Buckyball (made of 6750 6mm beads) is about 40 cm already. They might

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-82145857026405405892011-12-06T09:42:00.000+08:002012-02-10T07:48:30.977+08:00

We can make a super carbon tetrahedron (超級碳正四面體) with four C60 building blocks that have three holes drilled on the three pentagons surrounding the same hexagon. Of course, four equal CNTs with suitable length are required to connect these four punched C60s. Here, in addition to heptagons (blue), one also creates three octagons (purple) and one nonagon (red) on the C60 at each vertex. Of course,

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-43814052138850810132011-12-05T12:28:00.000+08:002011-12-07T13:05:44.422+08:00

If the holes on C60 are located at two neighbored pentagons, the angle created between the necks at these two positions is very close to 60 degrees. So one can use three such units to make a triangle consisting of three C60s at position of vertices connected by three CNT (carbon nanotube) struts. This kind of construction scheme seems be proposed by Mr. Horibe first. Since there are many

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-50186251645252221602011-12-04T23:00:00.000+08:002011-12-07T10:30:47.608+08:00

There are three distinct ways to drill two holes in a C60, which can be specified by the smallest number of non-disrupted hexagons between two pentagons: a. The shortest separation between two pentagons we can drill is one hexagon. b. The next one is two pentagons separated by two hexagons. c.The third one is two holes located at antipodal position. We can see in the case (a) two

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-81856775990171610402011-12-04T15:18:00.000+08:002011-12-06T10:15:55.535+08:00

This is the final bead model of a dodecahedron by connecting 20 C60s with three holes described in previous post. The C60 units in this structure is distorted quite significantly.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-10824152827655975772011-12-03T17:54:00.000+08:002011-12-15T11:22:05.393+08:00

The building block of type-II high-genus fullerenes can be chosen to be an arbitrary Goldberg polyhedron. Punching three holes along three carefully chosen pentagons can create a basic unit with three coordination (or a trivalent unit). I use C60 and its Schlegel diagram to illustrate how to punch a hole on an arbitrary pentagon. 1. Schlegel diagram of C60 2. C60 with a hole punched on

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-30293725599125321092011-11-23T11:37:00.001+08:002011-12-05T12:20:17.099+08:00

It is of interest to compare the bead model of a dodecahedron fused by 20 C60 in the previous post to high-genus fullerenes we discussed before. In fact, one can also view that bead model as a high-genus fullerene with genus=11, which is obtained by substracting one from the number of faces in a dodecahedron. The most important difference between these two types of high-genus fullerenes is the

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-54355096926875104262011-11-21T13:13:00.000+08:002011-12-05T12:20:46.294+08:00

I am working on a beaded dodecahedral structure which is going to consist of 20 fused C60. The construction strategy is similar to certain bead models made by Mr. Kazunori Horibe. I called those models as "Carbon poti donut （波提甜甜圈）". In the carbon poti donut, every C60 is connected to two neighbored C60 through two particular 5-fold axes. It is easy to see which two 5-fold axes I am talking

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-3323891776128836572011-11-21T13:02:00.000+08:002011-11-22T14:58:41.181+08:00

Yuan-Chia, Hsin-Yu and Mu-Chieh made a beautiful quasicrystal consisting of two types of rhombohedra with zometool last Friday. They put this model in the main lobby of our chemistry department for the alumni reunion last Saturday. In addition to the tiling approach to the quasicrystal, one also constructs it using the cluster approach. In this sense, the carbon onion we made before is

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-55803507695311428342011-11-16T12:26:00.000+08:002011-11-18T14:41:41.807+08:00

There is another way to build a D-type triply periodic minimal surface (TPMS) with beads. Chern has told me previously that one can not only use helical strips to build G-type TPMS, one can also use exactly the same helical strips to build D-type TPMS. If one examine two helical strips carefully, one can find that there are exactly two different ways to put them together. One gives a D-type TPMS

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-4266278619504001622011-11-15T12:25:00.000+08:002011-11-15T21:06:42.338+08:00

I have a new display case for some of Chern's and my beadworks in the chemistry building of National Taiwan university.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-48227942951356848092011-11-14T16:28:00.001+08:002011-11-15T12:17:24.642+08:00

E. A. Lord, A. Mackay, and S. Ranganathan described in their book, "New geometries for new materials", a simple cluster consisting of four face-sharing pentagonal dodecahedra arranged in a tetrahedral configuration (pp.48). Here is a bead model of this cluster. In their book, there are more clathrate structures that one might be able to construct with beads.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-7572467410424321852011-11-14T16:13:00.001+08:002011-11-14T16:21:33.036+08:00

I bought some more green rice-shape beads last week and managed to finish this interesting clathrate cluster of 60 dodecahedra in the last weekend. One can still see deformation of many dodecahedra in this clathrate cluster though.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-15081716048759638032011-11-08T10:32:00.012+08:002011-11-08T11:12:08.247+08:00

Chern and I submitted three beadworks, P-, D- and G-TPMSs, for the mathart exhibition of Joint mathematical Meeting which is going to be held in Boston next January. Here I took the two photos from the JMM site: the first one is the G-TPMS view from another angle: Beaded Fullerene of Schoen's G Surface18.5cm x 18.5 cm x 20cmFaceted plastic beads and fish thread2011and also the D-TPMS Beaded

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-49584322671531297682011-11-07T12:20:00.006+08:002011-11-07T12:26:12.873+08:00

I made two more A3-size posters with the bead model of gyroidal graphitic surface for the exhibition, "The Fabulous World of Beaded Molecules 串珠幾何的異想世界", on Wednesday. 1. Top view:2. Side view:

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-17083800903691779812011-11-02T12:47:00.020+08:002011-11-08T17:18:43.912+08:00

In conjunction with the special Marie Curie’s exhibition for the international year of chemistry, I am going to have a joint exhibition, "The fabulous world of beaded molecules (串珠幾何的異想世界)", for my beadworks here in the chemistry department of National Taiwan University from 10/9-10/20. I made a few posters for this event.P-surface:D-surface:G-surface:

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-40721362633204140542011-10-20T12:12:00.011+08:002011-10-20T13:03:00.497+08:00

There are many possible VB diagrams for C60. Many of them are still symmetric. The bead model I showed in the previous post corresponds to the kekule structure of single hexagon rotated by one beads, which leads to a fusion of three pentagons into a trefoil. One can also perform this operation on the remaining 9 pentagons at suitable 3-fold axes to produce an interesting pattern which looks like

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-55615684223887933822011-10-19T09:53:00.009+08:002011-10-19T10:25:26.739+08:00

Using the idea I introduced in the previous post, we can create 220/20 different patterns of labyrinth for C60! The basic idea is to start from the original VB pattern with icosahedral symmetry which I will call the canonical VB structure. Each of 20 hexagons on C60 has two local Kekule structures. We can apply a six-fold rotation to switch them from one to another. In total, we have 220/20

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-30151675439495142762011-10-17T15:46:00.020+08:002011-10-19T09:52:43.871+08:00

I recently communicated with Prof. Gillespie about the bead model of fullerenes. He raised a few questions on the way I interpreted the hard-sphere repulsion and its connection to the VSEPR (Valence shell electron pair repulsion) theory for AX3 systems. (Even though, I am trying hard to convince him that this correspondence with suitable interpretation of beads. He still doesn't think bead model

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-44723038698628169312011-10-12T10:30:00.012+08:002011-10-12T19:14:08.302+08:00

C70. Point group D5h. Shape: like a Rugby ball.60 8mm red beads and 45 8mm white beads are used. Ring spiral: [1 7 9 11 13 15 27 29 31 33 35 37]The red and green parts of spiral are exactly the same as the spiral of C60. The orange part of the spiral is a ring of 10 hexagons inserted in between two hemispheres of C60! Of course, instead of inserting one ring of 10 hexagons, one can do it

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-72578965092881005142011-10-07T10:25:00.019+08:002011-10-12T12:12:08.031+08:00

I took a few photos for making bead model of C60. This will be helpful for learning the so-called figure-eight stitch (or right-angle weave) and the beading rule of C60 I mentioned before. South hemisphere: North hemisphere: * General instruction:1. There are 32 polygons consisting of 12 pentagons and 20 hexagons in a C60. 2. Every pentagon is separated from neighbored pentagons by eactly one CC

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-27183023776799999672011-10-05T09:43:00.005+08:002011-10-05T10:14:30.230+08:00

I cut off all loose ends of fishing threads. It looks pretty. This model is the largest one (about 22.5cm x 22.5cm x 22.5cm) among all beadworks I had now. Again, I used two different colors of 6mm beads to make it. Red beads are used to make 7-bead groups (heptagons) and white beads for the other 6-bead groups (hexagons). CNTs in this structure belong to the zigzag form of CNTs.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-43057533147301519472011-10-03T15:01:00.011+08:002011-10-05T09:43:02.841+08:00

I spent time to finish up this structure made of 12 interpenetrating carbon nanotubes (CNTs) last weekend. Compared to the G-surface, this structure is not that complicated. Once one figures out the structure of node that connects three different perpendicular CNTs, the rest is hard work. One should be able to see how the arrangement of heptagons in a node is related to the inner part of a

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-73422551665932804442011-09-27T15:46:00.005+08:002011-09-27T16:42:58.541+08:00

I have many beadworks made by Chern, Wei-Chi and me on display in the faculty lounge here at the chem dept of NTU.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-30026590577842083982011-09-26T15:33:00.006+08:002011-09-26T15:45:14.226+08:00

Finally, I have all three bead models for P, D, and G minimal surfaces corresponding to the simple cubic, diamond-like, and gyroid-like structures, respectively.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-24433408626281875102011-09-26T14:33:00.005+08:002011-11-17T21:17:55.490+08:00

As I discussed in the previous posts, following Chern's construction scheme, I used 16 helical strips to build the overall 2x2x2 gyroical graphitic structure. Each strip contains 8 eight-bead loops, four with blue color and four with purple color as shown in the following photos. It is interesting note that one can easily create a kink in this helical strip on purpose. A kink in a helix changes

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-12757916055671701212011-09-25T00:19:00.004+08:002011-09-26T12:35:07.381+08:00

I took a few more photos of GGS with all loose ends removed.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-39090715566270278772011-09-24T16:02:00.007+08:002011-09-26T16:43:26.320+08:00

Chern and I have tried to construct this model for more than four years. I have basically made it today. But I may still need to clean all loose ends up. With a rough estimation, about 4500 beads and 100 fishing threads are used. Sixteen long threads (about 3.5 meter long for each strip) are used for making helical strips, and the remaining short threads are used to connect these strips. We can

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-19441407044632415372011-09-18T21:30:00.005+08:002011-09-20T09:46:20.799+08:00

I have four unit cells of gyroidal structure done now. I wish I can finish the other half in the next few weeks.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-35588528846867348012011-09-16T21:02:00.011+08:002011-11-17T21:15:56.761+08:00

I found that it is still difficult to identify unambiguously the boundary of gyroidal graphitic structure (GGS) if I don't pay attention to each unit cell carefully from the beginning. So I decided to use the original strategy Chern used to build this structure with helical strips. The photos below show a structure consisting of two unit cells. In the following photo, I show part of the gyroidal

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-33077754316658073952011-09-12T08:47:00.006+08:002011-09-26T13:03:42.695+08:00

Qian-Rui made these two bead models of EMACs, one with 3 metal cores and the other with 9 cores, last year. The ratio of two types of beads is so small such that the surrounding ligands stop to spiral around the central metal string.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-248785670541809112011-09-11T13:24:00.014+08:002011-09-26T13:03:58.537+08:00

Qian-Rui made this bead model of the longest EMAC (Extended Metal Atom Chain) for Prof. J. McGrady (Univ. of Oxford) who is an expert on the electronic structures of this class of molecules and is going to visit our department today. In making this model, Qian-Rui chose 10mm beads for both metal-metal and metal-ligand bonds, and 8mm beads for chemical bonds of surrounding ligands. The pitch of

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-29989849878122797592011-08-22T19:23:00.019+08:002011-08-28T11:28:23.818+08:00

Gyroidal graphitic structure (GGS) is complicated and confusing. Although Chern has worked out the rules for relative positions among nonhexagons on a graphene sheet with computer already, it is still hard to create a real physical model of this structure with beads. The many GGS bead models I posted in this blog are either incomplete or still containing some mistakes. This includes the bead

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-44809555106712251022011-08-16T09:21:00.014+08:002011-10-03T17:04:15.009+08:00

I am working on a structure consisting of a network of inter-penetrating carbon nanotubes that are perpendicular to each other. Only four unit cells are done currently. Hopefully I can finish the next four unit cells in next few weeks. This structure is very similar to the one posted in "Pseudo P-type carbon Schwartzite", except that I inserted a segment of carbon nanotubes in between each two

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-21574807754378884042011-08-08T19:09:00.004+08:002011-08-10T17:43:10.466+08:00

Laura Shea showed me these two beautiful T120 made of tiny crystal beads in the Bridges conference. They are so small. You can really wear these two carbon nanotori as earrings.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-2444899963835024782011-08-08T16:59:00.010+08:002011-12-29T10:56:50.829+08:00

I made this structure with beads last weekend. Still unfinished. The finished structure should have 60 dodecahedra arranged like a buckball. One has two ways to interpret this structure: 1. If every dodecahedron represents a carbon atom, we have a standard C60. 2. If we still use beads to represent CC bonds, then we have a giant molecule, C750. In this molecule, 450 carbon atoms are sp3

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com3tag:blogger.com,1999:blog-9080221888249170436.post-91799697325899893332011-07-31T07:25:00.011+08:002011-12-29T10:56:14.546+08:00

I gave a talk this morning on the designing sculpture inspired by high-genus fullerenes with mathematical beading (pdf file) in the Bridges conference (Coimbra, Portugal). Here are some bead models I brought to this meeting. These include three large pieces (a dodecahedra, a tetrahedron, and a trefoil knot), four TCNTs (120, 140, 240), and around 25 C60s.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-859898573555046852011-07-13T08:59:00.003+08:002011-07-14T09:10:42.491+08:00

I am working on a new bead model of high-genus fullerene for the coming Bridges conference in Coimbra. The 12 necks of this model consists of 8-member rings. The inner part is done. But one still needs to weave the remaining outer part.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com5tag:blogger.com,1999:blog-9080221888249170436.post-51138367395400164752011-07-08T20:58:00.003+08:002011-07-09T09:47:03.265+08:00

Chern and Yuan-Chia made this bead model of trefoil this May. This one has a C2 rotational symmetry which is absent in the one I posted previously. I gave this model to Prof. Wen-Yuan Qiu (Lan-Zhou University) when I was in An-Hui, He-Fei at the end of this May. He is an expert on the DNA polyhedra and gave me his book entitled "The Chemistry and Mathematics of DNA polyhedra" as a gift.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-61670140471899730152011-07-08T13:49:00.010+08:002011-07-14T09:16:50.131+08:00

We made a molecular model for the carbon onion consisting of six layers of concentric icosahedral fullerenes: C20, C80, C180, C320, C500, C720. This structure contains about 1820 balls and 2730 sticks. Some more extra sticks are used to connect different layers too.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-27653340071437183312011-07-08T13:44:00.005+08:002011-07-08T14:46:04.162+08:00

Here are the bead models of toroidal carbon nanotubes consisting of 120 carbon atoms students made in the second morning of this activity.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-50165530021190690632011-07-06T15:22:00.024+08:002011-07-14T09:17:19.349+08:00

I offered a summer camp (繽紛多彩石墨烯─結構與模型, Amazing graphitic structures or here) on creating structures and models of graphitic materials using a number of different techniques for high-school students in Taichung these few days (7/5-7/7).Three different techniques we used in this mini-workshop are the mathematical beading (one and half days), modular origami based on PHiZZ units (half day) and

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-35338615322106458332011-06-07T15:38:00.008+08:002011-06-07T15:52:10.280+08:00

A few pictures I took on mountain Huang (黃山) in An-Hui province after a meeting on quantum chemistry held in He-Fei last week. Mountain Huang is arguably the most beautiful mountain in China and has often been the subject of Chinese paintings and poems. On the top of the mountain, 光明頂(GuangMingDing), I found this geodesic dome. One can easily tell this is the C180 with Goldberg vector (3,0).

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-69501056101083954192011-05-09T17:58:00.002+08:002011-05-09T18:04:38.719+08:00

Here is a new trefoil knot by Chern. Unlike the previous trefoil knot, this new construction has much less strain and distortion. In this sense, the corresponding fullerene structure should be more stable.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-47614646596967773572011-04-28T18:42:00.039+08:002011-05-01T17:01:46.760+08:00

A few weeks ago, I was informed by my colleague about a paper by Beuerle et al.[1], in which they identified eight structural types of high-symmetry achiral toroidal carbon nanotubes (TCNTs) based on two of our papers in J. Chem. Inf. Model.[2,3] These eight structural types of TCNTs areA. Type I, Parallel Prism; outer-rim: zigzag, inner-rim: zigzag: T240, another example, detailed constructionB.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-8712743637955403332011-04-04T18:45:00.003+08:002011-04-04T19:10:28.817+08:00

Children's day (兒童節) is celebrated today (4 April) in Taiwan. My niece made a ponytail holder with two buckyballs.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-50158938004676251272011-03-20T10:37:00.004+08:002011-03-20T10:52:53.942+08:00

We made a poster (in Chinese) for the "Chemistry in Action" held here in Taiwan to celebrate the International Year of Chemistry (IYC-2011).

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-88533516362090538842011-03-17T23:40:00.004+08:002011-03-18T00:32:11.221+08:00

Previously, Bih-Yaw posted a beaded version of this molecule. It is one particular example of a "High-genus fullerene", where the phrase high-genus literally means "many holes", and fullerene is a nickname of a family of cage-like molecules that consist of exclusively graphitic carbon. You can view these molecular structures as two-layered figures. And it is exactly the holes that connect the two

Chuang Chernnoreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-84415518441853950622011-03-16T10:02:00.003+08:002011-03-18T10:02:06.145+08:00

Photo taken by J.-H. Hwang.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com4tag:blogger.com,1999:blog-9080221888249170436.post-73960487638480321612011-03-14T17:35:00.002+08:002011-03-14T17:49:54.602+08:00

One can view C60 or a buckyball as the simplest graphitic sheet embedded in a sphere with every pentagon connected to five other pentagons by only single carbon-carbon bonds. In this sense, C168 can be viewed as the "buckyball" in the hyperbolic space with every heptagon connected to seven other heptagons by only single carbon-carbon bonds. I made a bead model of C168 that consists only of one

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-24285262707694998252011-03-14T12:46:00.008+08:002011-03-14T15:20:07.346+08:00

I have recently found that the right angle weave we used to construct all of beadworks is commonly called the figure eight stitch （八字編, or pronounced as Baji-Bian）here in Taiwan because the weaving path looks like a Hindu-Arabic numeral eight. I guess it has the same name in China. In Japan, the same weaving technique is called the Hachinoji-Ami or Kousa-ami stitches, which has literally the same

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-22915523856462126822011-03-13T00:20:00.002+08:002011-03-14T12:35:25.640+08:00

I made a new model of C168 last week.Click the keyword C168 below to see more discussion on this structure.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-50496125432159809342011-03-09T22:45:00.000+08:002011-03-09T22:46:19.021+08:00

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-1160472970204778642011-03-03T22:03:00.004+08:002011-03-06T23:04:31.472+08:00

You need to have Java installed to see the above figure.

Chuang Chernnoreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-91151965904598775892011-02-25T18:12:00.005+08:002011-03-18T10:03:41.137+08:00

Chuang is currently working on the G-surface through his recently developed construction scheme based on helicoidal building blocks.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-7530339725469402662011-02-23T09:53:00.005+08:002011-03-14T12:41:04.579+08:00

I found a site (高中化學學科中心, 雄女) which contains many photos taken on the workshop I gave in the International Conference on Chemical Education(ICCE) last summer:(化學、幾何、藝術：建構芙類分子的串珠模型 地點:台北國際會議廳| 2010/8/13).

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-59777022048409790032011-02-23T09:38:00.010+08:002011-03-13T09:38:02.500+08:00

【化學奇境】一線千珠走入分子世界 （[Chemistry Wonderland] Peering into Molecular World with A Long Thread and Thousand Beads）

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-8994365946918179982011-02-20T19:27:00.008+08:002011-03-06T23:04:57.821+08:00

Chern Chuang discovered that one can generalize the Goldberg polyhedra to those polyhedra consisting of square grids, instead of triangular or hexagonal grids. Accordingly, the following polyhedron can be classified as the generalized Goldberg vector (3,1); while the cuboctahedron and rombicuboctahedron as shown in the previous posts can be classified as (1,1) and (2,0), respectively.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-46097807033654399672011-02-15T16:34:00.002+08:002011-03-06T23:05:23.616+08:00

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-28097310406166448142011-02-05T20:07:00.022+08:002011-11-20T11:30:45.507+08:00

I would like to thank Rochelle for pointing out that the procedure in the tabular form I posted before is incorrect. I have to admit that I have never used this kind of table for making C60. I think it is easy to make mistakes by just following this table literally and without thinking. If you are a little bit careful, you should be able to see the hidden rules for making the C60 just after about

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-39645158366019059132011-01-24T10:48:00.007+08:002011-08-17T15:17:00.468+08:00

The number of atoms in a Goldberg polyhedron is given by the formula N=20(h2 + hk + k2). If h=k, one has N=60*h2=60*42 = 960 atoms in (4,4)-Goldberg polyhedron.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-50360832401297605172011-01-20T12:47:00.007+08:002011-01-20T13:02:32.047+08:00

Chern showed me this bead model of Peano curve he made a few years ago when he was still an undergraduate student. Peano curve is the first known example of a space-filling curve discovered by Guiseppe Peano in 1890.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-10547939123626915442011-01-14T18:50:00.009+08:002011-03-20T10:53:36.424+08:00

I made another poster for the 4th cross-strait theoretical and computational chemistry (CTCC4) held at Kinmen university in Kinmen (金門) this week. This poster essentially has very similar connent but different pictures of beaded model as the one I made for the annual meeting of Taiwan's chemical society.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-87741434949258538282010-12-27T11:48:00.003+08:002010-12-27T11:53:00.269+08:00

I made two more bead models for toroidal carbon nanotubes with 120 and 240 carbon atoms last weekend (Christmas holliday in many countries, but not here in Taiwan, :-)).

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-58693791901982805392010-12-18T16:25:00.004+08:002011-08-17T15:17:24.044+08:00

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-86133388569724817442010-12-17T09:15:00.007+08:002011-08-17T15:17:41.344+08:00

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-74348036902249455402010-12-15T08:55:00.008+08:002011-12-05T12:21:31.511+08:00

Chern Chuang made a fused C60 dimer a few years ago. I scaned the model by the scanner as follows,The neck in this structure is basically the same as the inner part of T120. The two C60s in this model is staggered, so it has D5d symmetry just like that of ferrocene. I made another one with two different colors last weekend. I managed to use a single color for both pentagons and heptagons.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-28228036015344598012010-12-13T10:23:00.007+08:002011-08-17T15:18:02.980+08:00

Here is the bead model for the Goldberg polyhedron (5,0) The number of vertices in this model is 20(52) =500. The number of beads (6mm, faceted) used is 500*3/2=750.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-67168526097648252192010-12-12T11:18:00.013+08:002011-11-15T13:03:53.356+08:00

I have made only one beaded C168, which I gave to Dirk Huylebrouck, a math professor in the department of architecture in Belgium, at the Bridges conference this summer. I took the following photo of this bead model at the Hotel in Pecs, Hungary. I am thinking about making another one, maybe this time with giant beads just like Mr. Horibe has used. Unlike Mr. Horibe, I prefer using different

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-17665514434281416902010-12-12T11:00:00.009+08:002011-08-16T17:15:52.865+08:00

I found a few more pictures about Mr. Horibe's (堀部和経) beadworks and workshops in Japan. He seems to be fond of making beaded structures similar to that of C168 with endcaps. More pictures can be found here.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-87313397867933534722010-12-12T10:06:00.005+08:002011-01-14T18:56:50.031+08:00

Here is a poster I made for the annual meeting of Chinese chemical society located at Taiwan one week ago. This poster summarizes most of what we have done in the last few years. High-resolution poster is here.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-76975771275109888222010-12-11T15:45:00.020+08:002012-02-07T18:20:57.935+08:00

I was informed today by Prof. Sonoda about a Japanese site which contains many interesting beaded fullerenes just like we did in this blog. This site (http://www.u-gakugei.ac.jp/~onodakk/math/beadsindex.htm) is created by a Japanese highschool mathematic teacher, Mr. Kazunori Horibe (堀部和経). In addition to the standard cage-like fullerenes (C60 and C80), kind of toroidal carbon nanotubes similar

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com2tag:blogger.com,1999:blog-9080221888249170436.post-59996846189276752892010-12-10T13:00:00.008+08:002011-08-17T15:18:28.719+08:00

I made another giant fullerene with Goldberg vector (3,3) last week. Goldberg vector (3,3) gives the position where to put the next pentagon. With this in mind, one can create easily any fullerene specified by the Goldberg vector (i,j).

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-10335372897644425582010-11-30T12:48:00.009+08:002011-03-18T10:06:13.083+08:00

A tiling is called Platonic if it uses only one type of regular polygons. There are only three types of Platonic tilings, triangular, square, and hexagonal tilings (see the following figure). It is not hard to make a bead model of these three kinds of Platonic solid. Although it is not possible to tile a plane with regular heptagons, one can do it on a hyperbolic space as shown by follow figure

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-61424820075201890952010-11-26T18:55:00.010+08:002011-08-17T15:19:28.144+08:00

It is straightforward to make bead models for higher fullerenes with icosahedral symmetry. The simplest way is to use the Goldberg vector (see the following figure) to specify the relative position between two pentagons. Goldberg vector is very similar to the chiral vector used for defining carbon nanotubes. Suppose we have the first pentagon located at orgin, (0,0), then we can ask where the

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-19589938261555863922010-11-26T09:12:00.007+08:002011-08-17T15:21:32.543+08:00

This is a C60 constructed by eaglewood buhdda beads (烏木佛珠). I bought these beads in ChengDu, Sichuang last year.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-17923400086893313032010-11-24T17:05:00.019+08:002011-10-03T16:11:40.487+08:00

Prof. JT. Chen forwarded me a message from Sharon, an audience of my talk early this month. Sharon has a simple mnemonic by her son for making the beaded C60. In C60, every pentagon is surrounded by 5 hexagons, and every hexagon is surrounded alternatively by 3 pentagons and 3 hexagons. (五邊形的周圍是六邊形,六邊形的周圍是一個五邊形接一個六邊形.) One can easily create a beaded C60 by following this simple rule. Two beaded

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-17028585659509490522010-11-18T17:07:00.008+08:002010-12-12T11:14:54.226+08:00

I gave a talk for the special lecture series on the chemistry, Chemists' Adventure in Molecular Wonderland, given by the case of national Taiwan univeristy(國立台灣大學科學教育發展中心| Center For the Advancement of Education) on Nov. 6th. You can find the online lectures here (in Chinese).Here are some photos I recieved today.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-46926985274925652582010-11-03T00:15:00.006+08:002012-02-07T18:20:06.916+08:00

Looking along the (1,1,1) direction:Outside:I gave it the name of "PlatoKaleido". Because this is in fact the three Platonic tilings, square planar(purple+red), equilateral triangular(orange+yellow) and honeycomb(green+blue) lattices, inter-penetrating one another orthogonally. The coloring is in accordance to the order of the spectrum of sunlight, if you notice. It is a great fun making this

Chuang Chernnoreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-81031959095647419342010-11-02T20:14:00.009+08:002010-12-12T11:15:19.561+08:00

I was just informed that photos for the workshop (at the ICCE) on the beaded molecules has been posted on picasaweb today.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-42514219761619248082010-10-29T15:28:00.013+08:002011-05-01T14:31:26.496+08:00

I found this model of buckyball created by the 3D printing technique through googling a few weeks ago. It is cool. One can simply print a 3D molecular structure with a 3D printer. I wonder how much it would cost to have a printer like this and how much it would cost to print a model. (wiki)It is worthy of mentioning that this model is not a beaded structure. In fact, I believe it is not possible

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com1tag:blogger.com,1999:blog-9080221888249170436.post-15219000471988613462010-10-18T15:05:00.006+08:002011-08-17T15:01:48.397+08:00

There is a whole family of EMACs with different chain lengths and different metal atoms. Qian-Rui made this first bead model of EMAC with five metal atoms. The sizes of beads are 8mm and 6mm, respectively.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-68462485142622639642010-10-13T15:15:00.007+08:002011-08-17T15:01:28.945+08:00

Here I'd to show a few photos of EMACs to how the ratio of two kind of bead sizes on the pitch angles. 1. Correct pitch angle by using 8mm and 6mm beads. 2. Ligands spiral around the central metal string too fast if we use the same kind of beads for both ligands and metal string. 3. No pitch angle if we use 10mm and 14mm beads.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-42476279468511387292010-10-11T10:38:00.005+08:002011-08-17T14:54:47.543+08:00

Qian-Rui told me that it is easier to use the following weaving path for creating beaded EMACs. The one-end weaving is quite odd to me. This one uses one-end weaving for the pyridyl-groups at chain ends only.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0tag:blogger.com,1999:blog-9080221888249170436.post-66654345571729465342010-10-07T14:33:00.007+08:002011-08-17T14:55:29.346+08:00

A simple weaving path for EMACs that contain 1,8-naphthyridine (萘啶) ligands: I am not sure if Chern Chuang followed this path when he made the first beaded EMAC. Unlike EMACs with pyridyl-ligands, here one can use the same type of two-end weaving technique we used for making bead models of fullerenes.

Bih-Yaw Jinhttps://profiles.google.com/106095356059631588299noreply@blogger.com0