走路左晃右晃 发表于 2025-3-26 22:42:50
http://reply.papertrans.cn/89/8840/883965/883965_31.pnginvert 发表于 2025-3-27 03:55:55
The multiplication table,air of these elements, giving .. products in all. It seems natural to display them in a square “multiplication” table. We have written a display operator for such tables, called .. Here is what it produces if we take the elements to be ., and the entries to be blanksLEERY 发表于 2025-3-27 06:35:43
The point groups,ny new kind of matrix that can be generated from these by multiplication must also be accepted as a symmetry matrix on its own. In this chapter we will do exactly that, producing three new kinds of symmetry matrices that apply to molecules. That will make five kinds in all.Rustproof 发表于 2025-3-27 11:14:08
http://reply.papertrans.cn/89/8840/883965/883965_34.png撕裂皮肉 发表于 2025-3-27 15:11:11
Recognizing matrices,y are especially simple, they look just about like any other 3-by-3 real numerical matrix filled with values between . and .. In this chapter we develop numerical tests to distinguish them, and to extract the axis and the angle. These tests are collected together in a useful operator named ., based on the following theorem镇压 发表于 2025-3-27 20:34:08
http://reply.papertrans.cn/89/8840/883965/883965_36.png死猫他烧焦 发表于 2025-3-28 01:14:39
Naming the point groups,he elements of all point groups, and in Chapter 13 (RecognizeMatrix) we made operators that recognize the matrix types automatically, and in Chapter 14 (MakeMatrixGroup) we used them to generate whole groups. Now we are ready to understand the rationale behind the naming of the Point Groups.Culpable 发表于 2025-3-28 04:48:40
http://reply.papertrans.cn/89/8840/883965/883965_38.png暂时过来 发表于 2025-3-28 08:07:44
http://reply.papertrans.cn/89/8840/883965/883965_39.pngadumbrate 发表于 2025-3-28 13:53:37
A basic , tutorial,If you want to read this book “live” (as intended) you will need to read this chapter on screen and with . running, and do the things it says to do. You won’t get much out of it by just reading the hard copy, but here it is for quick reference