貢中元的部落格

 

關於類晶體的發現，流傳著許多有趣而且值得深度反省的傳說，值得有興趣的讀者自己去探索。準晶體的發現過程中有許多有趣且發人深省的故事，值得有興趣的讀者去探究探索。."2022年春節期間，我偶然看到一本書的書名，讀到一篇文章的標題，《第二種不可能》
說實話，我的英文很差，沒耐心看長篇文章，甚至都沒想過要讀完這本書的英文評論。作為一個英語不太好，但仍然具有批判性思維的人，我不明白這是什麼意思。所以我多次的請教了美國的劉教授。我完全誤解了這本書名字背後的深層意義，而這個美麗的誤解讓我開始回顧我所有關於平舖的藝術作品，並開始深入研究彭羅斯平鋪和準晶體。

摘要
    1982年，Dan Shechtman 教授首次觀察到具有十方向對稱的電子透射衍射圖像（如圖1所示），並於1984年正式發表（參考文獻1）。這種展現五重旋轉對稱性的晶體結構，被稱為「準晶體（quasicrystal）」，是一個困擾物理界超過40年的難題，至今仍未被完全理解。事實上，早在1999年（參考文獻2）便有報導指出，研究人員已成功發現尺寸約2毫米的十二面體三維準晶體（參考文獻6）。那麼，我們是否該稱其為「固態晶體」呢？

if the quasi becomes pseudo, real will become the truth , We have two different atomic sites models for Quasi crystals
如果,準變成偽，實則成幻,影卻成真

貢中元準晶表面觀測
從彭羅斯圖案演變為二維準晶體圖案, ,現在不再是晶體的正常重複“晶胞”?

 
Unlimited number of periodic decagonal tiling  with a2-D atom sites quasi crystal model貢中元chung yuan kung

Unlimited number of periodic decagonal tiling (2D-crystal)
The fat and thin rhombus tiles with different acute angles of 36 and 72 degrees  can combine to form six different decagonal tiles, of different inner structures, Each decagons composed of ten rhombuses , five thin rhombus and five fat rhombus , where a, b, c, d, e, f, are marked for six different decagons respectively in Figure 1.  For the fat rhombus in the decagons of type-a, type-d, type-e and type-f are highlighted in red, purple red, yellow, and light blue, respectively. These six decagons which can be regarded (considered) as basic unit, instead of two types of rhombuses, to fabricate (infinity) tiles in this paper. And be noted that only type-a decagonal tile is five-fold symmetric and the rest decagons are only mirror symmetric.

different unit cells in one periodic decagonal crystals 
•If there are different crystal phases inside the crystal, there must be many defects or mismatched atoms on the phase boundcrystal, there must be many defects or mismatche
ed atoms on thearies of the different phases. If there are different  phases inside the phase boundaries of the different phases,again

some modifications to the internal structure, and then reassembled them. For this case, the seam connecting the parts needs to be modified somewhat and becomes another kind of different unit cell. Periodic crystals are then made using two or more of these remodified unit cells.

 

•This is complete different from the traditionally understanding about solid crystals of any kind.

所有十邊形彭羅斯瓷磚 
Celebrating the 50th anniversary of the discovery of Penrose tiling