Open Access

Computation of the fifth Geometric-Arithmetic Index for Polycyclic Aromatic Hydrocarbons PAHk

Mehdi Alaeiyan
Mehdi Alaeiyan
, 
Mohammad Reza Farahani
Mohammad Reza Farahani
 and 
Muhammad Kamran Jamil
Muhammad Kamran Jamil
   | May 23, 2016
Applied Mathematics and Nonlinear Sciences's Cover Image
About this article
Previous Article
Next Article
Cite
Published Online: May 23, 2016
Page range: 283 - 290
Received: Feb 06, 2016
Accepted: May 21, 2016
DOI: https://doi.org/10.21042/AMNS.2016.1.00023
Keywords
© 2016 Mehdi Alaeiyan, Mohammad Reza Farahani, Muhammad Kamran Jamil, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

The first three members of Polycyclic Aromatic Hydrocarbons family PAHk.
The first three members of Polycyclic Aromatic Hydrocarbons family PAHk.

Fig. 2

General representation of Polycyclic Aromatic Hydrocarbons (PAHk).
General representation of Polycyclic Aromatic Hydrocarbons (PAHk).

Computing GA5 index for Polycyclic Aromatic Hydrocarbons PAHk (∀k = 1,2,3,...,1012):

GA5(PAH1)11.4991
GA5(PAH2)40.9041
GA5(PAH3)88.3091
GA5(PAH4)153.7141
GA5(PAH5)237.1191
GA5(PAH6)338.5241
GA5(PAH7)457.9291
GA5(PAH8)595.3341
GA5(PAH9)750.7391
GA5(PAH10)924.1441
GA5(PAH20)3648.1941
GA5(PAH30)8172.2441
GA5(PAH40)14496.2941
GA5(PAH50)22620.3441
GA5(PAH60)32544.3941
GA5(PAH70)44268.4441
GA5(PAH80)57792.4941
GA5(PAH90)73116.5441
GA5(PAH100)90240.5941
GA5(PAH200)360481.0941
GA5(PAH300)810721.5941
GA5(PAH400)1440962.0941
GA5(PAH500)2251202.5941
GA5(PAH600)3241443.0941
GA5(PAH700)4411683.5941
GA5(PAH800)5761924.0941
GA5(PAH900)7292164.5941
GA5(PAH1000)9002405.0941
GA5(PAH2000)36004810.0941
GA5(PAH3000)81007215.0941
GA5(PAH4000)144009620.0941
GA5(PAH5000)225012025.0941
GA5(PAH6000)324014430.0941
GA5(PAH7000)441016835.0941
GA5(PAH8000)576019240.0941
GA5(PAH9000)729021645.0941
GA5(PAH10000)900024050.0941
GA5(PAH20000)3600048100.0941
GA5(PAH30000)8100072150.0941
GA5(PAH40000)14400096200.0941
GA5(PAH50000)22500120250.0941
GA5(PAH60000)32400144300.0941
GA5(PAH70000)44100168350.0941
GA5(PAH80000)57600192400.0941
GA5(PAH90000)72900216450.0941
GA5(PAH100000)90000240500.0941
GA5(PAH200000)360000481000.094
GA5(PAH300000)810000721500.094
GA5(PAH400000)1440000962000.09
GA5(PAH500000)2250001202500.09
GA5(PAH600000)3240001443000.09
GA5(PAH700000)4410001683500.09
GA5(PAH800000)5760001924000.09
GA5(PAH900000)7290002164500.09
GA5(PAH1000000)9000002405000.09
GA5(PAH2000000)36000004810000.1
GA5(PAH3000000)81000007215000.1
GA5(PAH4000000)144000009620000
GA5(PAH5000000)225000012025000
GA5(PAH6000000)324000014430000
GA5(PAH7000000)441000016835000
GA5(PAH8000000)576000019240000
GA5(PAH9000000)729000021645000
GA5(PAH10000000)900000024050000
GA5(PAH20000000)3.6000000481 × 1015
GA5(PAH30000000)8.10000007215 × 1015
GA5(PAH40000000)1.44000000962 × 1016
GA5(PAH50000000)2.250000012025 × 1016
GA5(PAH60000000)3.24000001443 × 1016
GA5(PAH70000000)4.410000016835 × 1016
GA5(PAH80000000)5.76000001924 × 1016
GA5(PAH90000000)7.290000021645 × 1016
GA5(PAH100000000)9.00000002405 × 1016
GA5(PAH200000000)3.60000000481 × 1017
GA5(PAH300000000)8.100000007215 × 1017
GA5(PAH400000000)1.440000000962 × 1018
GA5(PAH500000000)2.2500000012025 × 1018
GA5(PAH600000000)3.240000001443 × 1018
GA5(PAH700000000)4.4100000016835 × 1018
GA5(PAH800000000)5.760000001924 × 1018
GA5(PAH900000000)7.2900000021645 × 1018
GA5(PAH1000000000)9.000000002405 × 1018
GA5(PAH2000000000)3.600000000481 × 1019
GA5(PAH3000000000)8.1000000007215 × 1019
GA5(PAH4000000000)1.4400000000962 × 1020
GA5(PAH5000000000)2.25000000012025 × 1020
GA5(PAH6000000000)3.2400000001443 × 1020
GA5(PAH7000000000)4.41000000016835 × 1020
GA5(PAH8000000000)5.7600000001924 × 1020
GA5(PAH9000000000)7.29000000021645 × 1020
GA5(PAH10000000000)9.0000000002405 × 1020
GA5(PAH20000000000)3.6000000000481 × 1021
GA5(PAH30000000000)8.10000000007215 × 1021
GA5(PAH40000000000)1.44000000000962 × 1022
GA5(PAH50000000000)2.25000000001202 × 1022
GA5(PAH60000000000)3.24000000001443 × 1022
GA5(PAH70000000000)4.41000000001683 × 1022
GA5(PAH80000000000)5.76000000001924 × 1022
GA5(PAH90000000000)7.29000000002165 × 1022
GA5(PAH100000000000)9.00000000002405 × 1022
GA5(PAH200000000000)3.60000000000481 × 1023
GA5(PAH300000000000)8.10000000000721 × 1023
GA5(PAH400000000000)1.44000000000096 × 1024
GA5(PAH500000000000)2.2500000000012 × 1024
GA5(PAH600000000000)3.24000000000144 × 1024
GA5(PAH700000000000)4.41000000000168 × 1024
GA5(PAH800000000000)5.76000000000192 × 1024
GA5(PAH900000000000)7.29000000000217 × 1024
GA5(PAH1000000000000)9.0000000000024 × 1024
GA5(PAH2000000000000)3.60000000000048 × 1025
GA5(PAH3000000000000)8.10000000000072 × 1025
GA5(PAH4000000000000)1.4400000000001 × 1026
GA5(PAH5000000000000)2.25000000000012 × 1026
GA5(PAH6000000000000)3.24000000000014 × 1026
GA5(PAH7000000000000)4.41000000000017 × 1026
GA5(PAH8000000000000)5.76000000000019 × 1026
GA5(PAH9000000000000)7.29000000000022 × 1026
GA5(PAH10000000000000)9.00000000000024 × 1026
eISSN:
2444-8656
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics
Journal RSS Feed