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Möbius (left) and Hückel (right) orbital arrays. The two orbital arrays in Figure 3 are just examples and do not correspond to real systems. In inspecting the Möbius one on the left, plus–minus overlaps are seen between orbital pairs 2-3, 3-4, 4-5, 5-6, and 6-1, corresponding to an odd number (5), as required by a Möbius system.
In organic chemistry, Möbius aromaticity is a special type of aromaticity believed to exist in a number of organic molecules. [ 1 ] [ 2 ] In terms of molecular orbital theory these compounds have in common a monocyclic array of molecular orbitals in which there is an odd number of out-of-phase overlaps, the opposite pattern compared to the ...
Farhang-e-Asifiya (Urdu: فرہنگ آصفیہ, lit. 'The Dictionary of Asif') is an Urdu-to-Urdu dictionary compiled by Syed Ahmad Dehlvi. [1] It has more than 60,000 entries in four volumes. [2] It was first published in January 1901 by Rifah-e-Aam Press in Lahore, present-day Pakistan. [3] [4]
The method has several characteristics: It limits itself to conjugated molecules.; Only π electron molecular orbitals are included because these determine much of the chemical and spectral properties of these molecules.
Möbius was the first to introduce homogeneous coordinates into projective geometry. He is recognized for the introduction of the barycentric coordinate system . [ 4 ] Before 1853 and Schläfli 's discovery of the 4-polytopes , Möbius (with Cayley and Grassmann ) was one of only three other people who had also conceived of the possibility of ...
The Urdu Dictionary Board (Urdu: اردو لغت بورڈ, romanized: Urdu Lughat Board) is an academic and literary institution of Pakistan, administered by National History and Literary Heritage Division of the Ministry of Information & Broadcasting. Its objective is to edit and publish a comprehensive dictionary of the Urdu language.
Feroz-ul-Lughat Urdu Jamia (Urdu: فیروز الغات اردو جامع) is an Urdu-to-Urdu dictionary published by Ferozsons (Private) Limited. It was originally compiled by Maulvi Ferozeuddin in 1897. The dictionary contains about 100,000 ancient and popular words, compounds, derivatives, idioms, proverbs, and modern scientific, literary ...
The dictionary was edited by the honorary director general of the board Maulvi Abdul Haq who had already been working on an Urdu dictionary since the establishment of the Urdu Dictionary Board, Karachi, in 1958. [1] [2] [3] Urdu Lughat consists of 22 volumes. In 2019, the board prepared a concise version of the dictionary in two volumes.