cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A007656 Mass number of the most abundant isotope of the element with atomic number Z = n.

Original entry on oeis.org

1, 4, 7, 9, 11, 12, 14, 16, 19, 20, 23, 24, 27, 28, 31, 32, 35, 40, 39, 40, 45, 48, 51, 52, 55, 56, 59, 58, 63, 64, 69, 74, 75, 80, 79, 84, 85, 88, 89, 90, 93, 98, 98, 102, 103, 106, 107, 114, 115, 120, 121, 130, 127, 132, 133, 138, 139, 140, 141, 142, 145, 152, 153, 158, 159, 164, 165, 168, 169, 174, 175, 180, 181, 184, 187, 192, 193, 195, 197, 202, 205, 208, 209, 209, 210, 222, 223, 226, 227, 232, 231, 238, 237, 244, 243, 247, 247, 251, 252, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 269, 272, 277, 286, 289, 289, 293, 294, 294
Offset: 1

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Author

N. J. A. Sloane

Keywords

Comments

Mass number of the most abundant of the stable nuclides with atomic number equal to n. If there is no stable isotope, choose the one with the longest decay time.
Sequence is not well-defined, since the entries may change as more properties of the elements are discovered.
Moss and Winter give the atomic weight for Dysprosium (Dy) as "162.50(3)"; rounded to 163 rather than 162.
Bentor, Winter and Moss all give 145 as the atomic weight of the most stable isotope of Promethium (Pm), as opposed to 147, which was in the original data (between 144 and 150).
Also referred to as the mass number A of the most abundant and stable nuclide with atomic number Z=n. We have A = Z + N, where N is the neutron number A058317(n). - Lekraj Beedassy, Oct 08 2005
The 'abundance' refers to the Earth's crust. It may differ when applied to other astronomical bodies and/or to the known Universe. The mass numbers (once also referred to as the isotope numbers) are always integer, and should not be confused with relative atomic masses (or isotope masses), nor with (mean) atomic weights, none of which are ever integer. - Stanislav Sykora, Apr 26 2015
Andreas von Antropoff was an Estonian-born German chemist, who is known to have coined the term Neutronium and developed a temporarily and widely used periodic table of elements in 1926. - Jinyuan Wang, Apr 30 2019

Examples

			Calcium (Ca), with atomic number 20, has 6 stable isotopes with mass numbers 40, 42, 43, 44, 46, and 48. Of these, 40Ca is the most abundant in Earth's crust (96.941%). Hence a(20)=40. Note: The relative atomic mass of 40Ca is 39.96259..., smaller than 40 because of the mass equivalent of the nuclear bonding energy, while the conventional mean atomic weight of Calcium is presently 40.078(4), by IUPAC 2009. - _Stanislav Sykora_, Apr 26 2015

References

  • W. M. Haynes, Editor, CRC Handbook of Chemistry and Physics, CRC Press 2014, 95th Edition. See section Nuclear and Particle Physics, chapter Table of the Isotopes.
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A058317, A121818, A179301.

Programs

  • Mathematica
    Needs["Miscellaneous`ChemicalElements`"]; Table[ Round[ AtomicWeight[ Elements[[n]]]], {n, 1, 105}] (* above element 105, the values differ *)

Extensions

More terms from André Engels
Further terms from Philip Newton, Oct 26 2001, using data from Moss
There are several errors in this sequence. It looks to me that the rounded atomic weights were used rather than the mass number of the most abundant of the stable nuclides with atomic number equal to n. Thus for instance, a(28) should be 58, not 59 and a(29) should be 63, not 64. In fact, in all cases the parity of a(n) should be the same as n (both odd or both even). - David Terr, Oct 05 2006
I fixed all the entries I could find in which a(n) was incorrect, based on the online table of isotopic abundances at http://www.sisweb.com/referenc/source/exactmas.htm. - David Terr, Apr 06 2009
a(n) has the same parity as n for all stable elements except beryllium (n=4, a(n)=9), nitrogen (n=7, a(n)=14) and platinum (n=78, a(n)=195). - David Terr, Apr 07 2009
Name clarified by Stanislav Sykora and Jon E. Schoenfield, May 04 2015
Corrected and extended by Jinyuan Wang, Mar 16 2019

A179301 Number of stable isotopes of element n.

Original entry on oeis.org

2, 2, 2, 1, 2, 2, 2, 3, 1, 3, 1, 3, 1, 3, 1, 4, 2, 3, 3, 6, 1, 5, 2, 4, 1, 4, 1, 5, 2, 5, 2, 5, 1, 6, 2, 6, 2, 4, 1, 5, 1, 7, 0, 7, 1, 6, 2, 8, 2, 10, 2, 8, 1, 9, 1, 7, 2, 4, 1, 7, 0, 7, 2, 7, 1, 7, 1, 6, 1, 7, 2, 6, 2, 5, 2, 7, 2, 6, 1, 7, 2, 4, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 1

Views

Author

Will Nicholes, Jul 10 2010

Keywords

Comments

Stable in this context means either theoretically stable (e.g. Hydrogen-1), or technically radioactive but stable for all practical purposes (e.g. Bismuth-209).
Radioactive nuclides with a half-life of 700 million years or greater are included.

Links

Crossrefs

Cf. A058317, A121818, A007656.

Extensions

a(106)-a(118) (Sg to Uuo) by Jeremy Tan, Oct 24 2013

A058318 Number of energy levels in atoms of the n-th element of the periodic table.

Original entry on oeis.org

1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
Offset: 1

Views

Author

Labos Elemer, Dec 12 2000

Keywords

Comments

Run lengths, i.e., how many elements have 1,2,3,4,5,6,7 energy levels, are 2,8,8,18,18,32,26 (see A137583).

Examples

			For n=79, element 79 (Gold) has a(79)=6 energy levels (which may have 2,8,18,32,18,1 electrons).

Links

Crossrefs

Cf. A007656, A018227, A058317, A137583, A173592.

Programs

  • Maple
    seq(i$[2, 8, 8, 18, 18, 32, 32][i], i=1..7); # Michel Lagneau, Apr 03 2024

Formula

a(n) = m for s(m-1) < n <= s(m) for m=1..7, where s(m) = A173592(m) and s(0) = 0. - Michel Lagneau, Apr 03 2024

Extensions

a(106)-a(118) from Michel Lagneau, Apr 03 2024
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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