A333997 Number of electrons per subshell in element Z=n expressed as a 56-bit unsigned integer.

1, 2, 6, 10, 26, 42, 58, 74, 90, 106, 234, 362, 874, 1386, 1898, 2410, 2922, 3434, 68970, 134506, 138602, 142698, 146794, 89450, 154986, 159082, 163178, 167274, 109930, 175466, 437610, 699754, 961898, 1224042, 1486186, 1748330

Offset

1,2

Comments

This is a memory-efficient way of encoding the number of electrons per subshell of all known elements.

Links

Zachary Russ, Table of n, a(n) for n = 1..118

Wikipedia, Electron configurations of the elements (data page)

Example

  |-----|----------------------------------------------------------------------------|
  |     |                                a(n) [bin]                                  |
  |  n  |                          Electrons per Subshell                            |
  |     |  7p|7s| 6d | 6p|6s| 5f | 5d | 5p|5s| 4f | 4d | 4p|4s| 3d | 3p|3s| 2p|2s|1s |
  |-----|----|--|----|---|--|----|----|---|--|----|----|---|--|----|---|--|---|--|---|
  |   1 | 000 00 0000 000 00 0000 0000 000 00 0000 0000 000 00 0000 000 00 000 00 01 |
  |   2 | 000 00 0000 000 00 0000 0000 000 00 0000 0000 000 00 0000 000 00 000 00 10 |
  |   3 | 000 00 0000 000 00 0000 0000 000 00 0000 0000 000 00 0000 000 00 000 01 10 |
  |   4 | 000 00 0000 000 00 0000 0000 000 00 0000 0000 000 00 0000 000 00 000 10 10 |
  |   5 | 000 00 0000 000 00 0000 0000 000 00 0000 0000 000 00 0000 000 00 001 10 10 |
  |   6 | 000 00 0000 000 00 0000 0000 000 00 0000 0000 000 00 0000 000 00 010 10 10 |
  |  .  |                                     .                                      |
  |  .  |                                     .                                      |
  |  .  |                                     .                                      |
  | 113 | 001 10 1010 110 10 1110 1010 110 10 1110 1010 110 10 1010 110 10 110 10 10 |
  | 114 | 010 10 1010 110 10 1110 1010 110 10 1110 1010 110 10 1010 110 10 110 10 10 |
  | 115 | 011 10 1010 110 10 1110 1010 110 10 1110 1010 110 10 1010 110 10 110 10 10 |
  | 116 | 100 10 1010 110 10 1110 1010 110 10 1110 1010 110 10 1010 110 10 110 10 10 |
  | 117 | 101 10 1010 110 10 1110 1010 110 10 1110 1010 110 10 1010 110 10 110 10 10 |
  | 118 | 110 10 1010 011 10 1110 1010 110 10 1110 1010 110 10 1010 110 10 110 10 10 |
  |-----|----------------------------------------------------------------------------|

Prog

(C++) typedef unsigned char Subshell; uint64_t a(Subshell _1s=0x0, Subshell _2s=0x0, Subshell _2p=0x0, Subshell _3s=0x0, Subshell _3p=0x0, Subshell _3d=0x0, Subshell _4s=0x0, Subshell _4p=0x0, Subshell _4d=0x0, Subshell _4f=0x0, Subshell _5s=0x0, Subshell _5p=0x0, Subshell _5d=0x0, Subshell _5f=0x0, Subshell _6s=0x0, Subshell _6p=0x0, Subshell _6d=0x0, Subshell _7s=0x0, Subshell _7p=0x0) {return ((uint64_t)_1s) + ((uint64_t)_2s << 2 ) + ((uint64_t)_2p << 4 ) + ((uint64_t)_3s << 7 ) + ((uint64_t)_3p << 9 ) + ((uint64_t)_3d << 12) + ((uint64_t)_4s << 16) + ((uint64_t)_4p << 18) + ((uint64_t)_4d << 21) + ((uint64_t)_4f << 25) + ((uint64_t)_5s << 29) + ((uint64_t)_5p << 31) + ((uint64_t)_5d << 34) + ((uint64_t)_5f << 38) + ((uint64_t)_6s << 42) + ((uint64_t)_6p << 44) + ((uint64_t)_6d << 47) + ((uint64_t)_7s << 51) + ((uint64_t)_7p << 53); }

Crossrefs

Cf. A333662, A168208, A093907.

Sequence in context: A057434 A333170 A217381 * A162581 A061547 A218791

Adjacent sequences: A333994 A333995 A333996 * A333998 A333999 A334000

Keyword

fini,nonn,full

Author

Zachary Russ, Sep 05 2020

Status

approved