User:Crandall a clark/sandbox

Article title mapping Abell clusters older and newer approaches how much do we know for sure from redshift data old and recent? Begins with George Abell and ends with rydberg idea.

Speculative summary based on phone interviews among other vizier source material

A significant correspondence from data of the hydrogen atom's Rydberg formula to map Abell cluster z values Data to four significant digits mapped from vizier astronomy Strasbourg 774 row struble table

The Rydberg formula can be filled in to create a purely numerical series representing the atomic  energy levels of hydrogen If these numerical series are compared to Struble s data table a correspondence is found Even though there are 774 z values in strubles table ( 199?) almost all of the z values for the centers of the Abell galaxies are evident. The p value is not determined yet but it is difficult to estimate but the data of z values is clustered and alot of the centers of the cluster fall on Rydberg’s formula. The only expanation I have for this is that it is where dark matter formed in the past lookback times and the increase of gravitational density formed attractive zones for Abell formation ( the z values) Any further research into this has to rule out coincidence through using the binomial p and q number theorem to obtain a confidence interval. Rydberg formula

Full _RAJ2000 "h:m:s" _DEJ2000 "d:m:s" Zest Zobs Ngal

9 10 17 29.9	+59 34 00	0.274	0.3530	2 114 13 19 28.8	+66 51 16	0.158	0.3340	1 115 13 19 43.0	+70 06 17	0.264	0.3275	1 57 11 42 30.8	+58 32 21	0.314	0.3220	3 143 14 52 50.3	+58 03 48	 	0.3180	2 23 10 35 43.3	+68 47 28	 	0.3075	2 91 12 36 49.1	+63 12 30	0.279	0.3020	1 140 14 43 52.9	+63 42 22	0.231	0.2981	1 111 13 13 43.2	+72 53 09	0.236	0.2960	1 1 10 05 11.3	+74 50 26	0.225	0.2947	2 25 10 38 38.1	+67 45 23	0.257	0.2575	2 ¼=.250131 14 10 26.0	+59 46 54	0.201	0.2493	2 119 13 30 27.2	+62 13 34	 	0.2410	1 145 14 58 46.6	+60 30 06	0.269	0.2395	2 128 14 05 09.4	+60 06 42	 	0.2353	5 ¼-1/81=.2376					            99 12 53 28.1	+62 49 44	0.181	0.2350	2 102 12 58 15.5	+65 22 49	0.258	0.2340	1 ¼-1/64=.2343					86 12 27 59.2	+64 36 25	0.249	0.2330	1 96 12 46 16.1	+69 41 38	0.253	0.2320	1 81 12 23 16.0	+61 13 23	 	0.2320	1 ¼-1/49=.2295                 135 14 14 26.5	+71 14 05	0.243	0.2250	1

93 12 40 07.9	+73 09 33	0.100	0.2249	1 28 10 46 16.8	+59 39 12	 	0.2240	2 30 10 56 07.5	+71 45 59	0.212	0.2231	2 ¼-1/36=.2222					142 14 45 32.0	+69 02 27	0.154	0.2228	1 110 13 14 25.1	+64 36 09	0.235	0.2200	1 129 14 05 54.5	+58 40 44	 	0.2173	3 123 13 39 21.2	+71 36 50	0.240	0.2150	2 127 13 59 20.3	+72 07 30	0.192	0.2143	3 38 11 19 51.3	+62 41 35	0.147	0.2120	1 137 14 29 05.3	+70 08 42	0.182	0.2118	3 144 14 53 01.8	+68 22 49	0.239	0.2110	1 87 12 32 33.8	+62 50 27	0.293	0.2100	2 ¼-1/25=.2100					53 11 38 47.1	+63 35 23	0.194	0.2093	7 134 14 12 58.3	+74 20 02	0.209	0.2065	2 132 14 10 27.2	+63 35 54	0.218	0.2055	2 15 10 23 27.7	+59 48 49	0.163	0.2055	2 18 10 27 37.1	+67 02 41	0.215	0.2039	3 20 10 30 06.2	+65 07 37	 	0.2030	1 16 10 26 17.0	+67 57 44	0.190	0.2026	5 14 10 24 24.8	+68 06 47	0.204	0.2013	1 92 12 37 51.8	+65 51 31	 	0.2000	1 17 10 27 35.0	+68 13 42	0.203	0.1998	2 124 13 46 37.3	+70 50 03	0.198	0.1997	1 126 13 58 07.3	+74 07 28	0.240	0.1994	1 6 10 15 40.5	+69 06 04	 	0.1982	1 36 11 12 33.7	+59 15 41	 	0.1980	1 108 13 11 49.8	+61 41 06	0.195	0.1970	1 112 13 15 41.0	+58 14 11	0.225	0.1960	1 107 13 09 49.5	+58 25 03	 	0.1950	2 12 10 21 09.6	+68 16 53	0.200	0.1949	1 116 13 22 44.0	+58 10 21	0.147	0.1945	1 2 10 08 26.0	+71 14 19	0.252	0.1941	3 71 12 06 52.8	+71 38 18	0.162	0.1912	3 24 10 37 33.5	+67 58 25	0.206	0.1895	2 5 10 10 23.3	+71 01 15	0.211	0.1890	3 26 10 40 47.1	+67 13 20	0.232	0.1886	5 ¼-1/16=.1875					59 11 43 31.4	+61 39 21	 	0.1786	2 141 14 43 09.5	+74 50 22	0.201	0.1769	5 7 10 15 09.1	+63 05 05	0.138	0.1766	2 84 12 26 19.6	+62 33 24	0.167	0.1707	1 58 11 43 01.6	+61 17 21	 	0.1707	3 104 13 04 58.6	+62 14 57	0.190	0.1700	2 11 10 18 50.2	+63 28 57	 	0.1692	2 39 11 23 58.8	+60 09 31	 	0.1670	2 4 10 10 27.9	+73 44 15	0.168	0.1661	1 42 11 27 36.3	+75 29 29	0.130	0.1650	2 33 11 09 07.0	+68 44 44	0.159	0.1639	1 66 11 55 48.3	+57 52 18	0.155	0.1587	3 40 11 25 23.9	+68 02 30	0.155	0.1558	1 55 11 41 34.9	+73 04 22	 	0.1556	1 80 12 22 53.2	+58 54 23	0.201	0.1540	2 78 12 17 00.7	+72 49 20	 	0.1524	1 97 12 47 35.0	+59 12 39	0.226	0.1520	1 41 11 26 51.4	+71 05 30	0.049	0.1520	1 118 13 25 52.8	+59 18 26	0.175	0.1515	1 21 10 31 35.9	+62 51 34	0.156	0.1508	2 31 11 02 26.0	+58 45 51	 	0.1507	1 139 14 44 09.0	+58 54 22	0.256	0.1500	2 54 11 40 07.3	+68 08 22	0.171	0.1500	1 85 12 27 42.2	+63 25 25	0.159	0.1454	1 52 11 38 35.3	+71 07 23	0.105	0.1453	1 45 11 31 48.0	+66 47 26	 	0.1432	2 130 14 09 02.8	+61 57 51	 	0.1431	3 50 11 36 08.5	+71 56 24	 	0.1409	2 113 13 19 09.7	+58 05 16	0.143	0.1406	1 44 11 31 13.5	+60 46 27	0.185	0.1404	3 136 14 25 09.5	+63 09 31	0.169	0.1394	 138 14 34 26.3	+58 16 55	0.193	0.1379	2 ¼-1/9=.1388					95 12 42 44.0	+76 09 35	0.131	0.1355	1 37 11 15 42.3	+67 41 38	0.155	0.1351	1 106 13 06 11.9	+71 51 59	0.195	0.1335	1 122 13 41 00.3	+58 01 52	 	0.1330	1 3 10 07 53.3	+62 31 19	0.174	0.1320	3 56 11 41 20.2	+60 39 22	 	0.1313	2 76 12 14 08.2	+63 13 20	0.185	0.1305	2 10 10 18 46.1	+66 13 58	0.161	0.1290	1 22 10 35 24.9	+77 20 29	0.135	0.1258	2 100 12 54 27.9	+62 33 45	0.178	0.1250	1 47 11 33 43.1	+76 14 25	 	0.1248	2 83 12 24 51.1	+77 07 23	0.160	0.1238	2 109 13 13 32.0	+61 01 08	 	0.1234	1 29 10 56 41.1	+75 31 58	0.120	0.1221	2 73 12 11 06.7	+72 05 19	0.148	0.1220	3 48 11 33 52.2	+75 04 25	 	0.1218	2 133 14 11 51.1	+61 22 58	 	0.1217	3 8 10 17 01.1	+72 19 01	 	0.1207	2 32 11 06 16.9	+73 41 47	 	0.1202	2 67 11 57 00.9	+67 58 18	0.182	0.1182	2 13 10 22 39.1	+64 37 50	0.126	0.1182	2 64 11 53 15.6	+67 53 19	0.157	0.1173	1 120 13 34 41.6	+59 55 41	 	0.1167	2 61 11 48 30.1	+75 13 20	0.134	0.1165	1 27 10 45 03.2	+58 10 13	0.151	0.1164	2 125 13 49 45.9	+71 02 10	0.194	0.1162	4 19 10 29 01.6	+65 26 39	0.154	0.1161	1 49 11 33 22.6	+66 25 26	0.115	0.1160	3 60 11 44 57.3	+67 25 21	0.136	0.1159	1 68 11 59 40.9	+68 06 18	 	0.1130	1 46 11 31 37.3	+60 46 26	 	0.1114	3 51 11 36 59.9	+63 13 24	 	0.1110	4    1/9 clustered redshift=.1111 1/9=.1111					89 12 33 08.8	+69 22 28	 	0.1105	2 72 12 08 53.1	+64 04 19	0.243	0.1104	1 94 12 41 03.2	+72 14 33	0.205	0.1096	1 79 12 18 59.3	+63 30 21	 	0.1080	1 88 12 33 05.6	+67 07 28	0.117	0.1066	2 101 12 55 45.7	+62 09 47	 	0.1063	1 103 13 03 32.0	+67 29 55	0.155	0.1060	2 63 11 52 32.3	+60 25 19	 	0.1058	2 62 11 48 21.1	+71 26 20	0.082	0.1048	2 70 12 05 23.9	+72 36 18	 	0.1034	2 69 12 01 51.5	+58 01 18	0.118	0.1031	2 98 12 48 42.9	+62 41 40	0.115	0.1029	4 90 12 35 01.1	+64 23 29	0.146	0.1000	2  1/9-1/81=.0987 1/9-1/81=.0987					74 12 13 21.8	+59 16 19	0.090	0.0957	1   1/9-1/64=.0954 1/9-1/64=.0954					105 13 05 00.9	+71 51 57	0.146	0.0906	2   1/9-1/49=.0907 1/9-1/49=.0907					34 11 11 08.5	+62 57 42	0.163	0.0900	2 65 11 55 45.3	+73 28 18	0.095	0.0834	1   1/9-1/36=.0833 1/9-1/36=.0833					35 11 13 51.4	+75 23 40	0.135	0.0785	2   117 13 24 04.3	+71 28 24	0.131	0.0739	2 75 12 13 50.4	+74 23 20	 	0.0714	2       1/9-1/25=.0711 1/9-1/25=.0711					121 13 36 00.3	+59 13 43	0.069	0.0701	16  1/9-1/16= out of range of Huchra database=.04861 82 12 24 03.4	+61 30 23	 	0.0698	3 77 12 15 50.3	+59 58 20	0.087	0.0602	5 1/9-1/16 =out of range .04861 43 11 31 12.8	+67 14 27	 	0.0548	2 plot the output query using TAP/SQL

https://en.wikipedia.org/wiki/Hydrogen_spectral_series + Additional progress

Other vizier databases have been looked into and they seem to follow the same pattern especially for Rydberg n= 3 and n=4 and n=6 in addition one of the reasons this may be true is as fallowsIonization table And Rydberg numbers

Rydberg formula Z=1

Rydberg numbers

N=             N’=                                   decimal value                    1/x                               x1312       name

1                       2                                    .75                                       1.333                       1749 (1740) Rh 2nd 1                       3                                    .888                                     1.125                       1476(1470) Tc 2nd 1                      4                                    .9375                                     1.0667                    1399(1402) N 1st 1                       5                                    .960                                       1.041667               1367((1380) NB 2ND 1                         6                                   .9722                                     1.02857                  1349(1350) Kr 1st 1                         7                                    .9796                                     1.02083                 1339(1310)Ti2nd 1                          8                                    .9844                                    1.01587                  1332(1314)O 1st               1                           9                                   .9876                                    1.0125                      1328 1                          10                                  .9900                                    1.0101                      1325

2                          4                          fill in later                                                                                          6997(6990) Mg 5th 2                           5                                                                                                                    6470(6491) Ca 4th 2                           6                                                                                                                     5904(5877) Na 4th 2                            7                                                                                                                     5714 (5731) Zn 4th 2                            8                                                                                                                      5997 2                              9                                                                                                                     5520(5536) Cu 4th 3                              4                                                                                                                    26917(27465) Al 8t 3                                5                                                                                                              18450(18530)  Ti 9th 3                                6                                                                                                            15744(15455)    Cr 7th 3                                7                                                                                                            14464 (14530   Va 7th 3                                   8                                                                                                          13740((13590)  Ti 7th 3                                   9                                                                                                          13284(13310)  Sc 7th

4                                  5                                                                                                            58311(58570) ni 18th 4                                   6                                                                                                            37785(37840)Fe 14th 4                                    7                                                                                                            31169(31270)Sr 11th 4                                   8                                                                                                             27989(28000)Fe 11th 4                                   9                                                                                                              26159(26130)Cr11th 4                                   10                                                                                                             24990(24670)V11th

5                                6                                                                                                            107345(109100)Ti17th 5                                7                                                                                                            66966(67300) Zn 19th 5                                 8                                                                                                           53825(53700) Cu 17th 5                                 9                                                                                                           47442(47300)Zn 15th 5                                 10                                                                                                         43733(43800)Zn 14 th

6                                 7                                                                                                           178028(178100)Co22n

6                                 8                                                                                                         107958(105800)Cr16th 6                                 9                                                                                                            85017(85300) Kr 21st 6                                10                                                                                                         73800(73010) Sc 13th

7                                        8                                                                                                        274295(271791)P14t 7                                        9                                                                                                    162729(163000)Fe21st 7                                       10                                                                                                       126054(125300)Cr18 7                                     11                                                                                                  108039(109100) Ti 17th 7                                      12                                                                                              974447(97510)Cr 15th

7                                      13                                                                                              90538(90880) Ti 15th

7                                       14                                                                                             85717(86310)Ca 15th

7                                      15                                                                                              82186(82473)Ar 15th

7                                      16                                                                                            79505(78890)Ca 14th

It has been suggested that this article be merged into Ionization energies of the elements (data page). (Discuss) Proposed since September 2020.

These tables list values of molar ionization energies, measured in kJ⋅mol−1. This is the energy per mole necessary to remove electrons from gaseous atoms or atomic ions. The first molar ionization energy applies to the neutral atoms. The second, third, etc., molar ionization energy applies to the further removal of an electron from a singly, doubly, etc., charged ion. For ionization energies measured in the unit eV, see Ionization energies of the elements (data page). All data from rutherfordium onwards is predicted. Crandall a clark (talk) 02:32, 27 August 2021 (UTC)