A333662 Number of electrons per shell in element Z=n expressed as a 32-bit unsigned integer.

1, 2, 6, 10, 14, 18, 22, 26, 30, 34, 98, 162, 226, 290, 354, 418, 482, 546, 2594, 4642, 4706, 4770, 4834, 2914, 4962, 5026, 5090, 5154, 3234, 5282, 7330, 9378, 11426, 13474, 15522, 17570, 148642, 279714, 281762, 283810

Offset

1,2

Comments

This is a memory-efficient way of encoding the number of electrons per shell 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  | a(n) [dec] | a(n) [hex] |           Electrons per Shell          |
  |     |            |            |  Q  |  P  |   O  |  N   |  M  |  L | K |
  |-----|------------|------------|-----|-----|------|------|-----|----|---|
  |   1 |          1 | 0x00000001 | 0000 00000 000000 000000 00000 0000 01 |
  |   2 |          2 | 0x00000002 | 0000 00000 000000 000000 00000 0000 10 |
  |   3 |          6 | 0x00000006 | 0000 00000 000000 000000 00000 0001 10 |
  |   4 |         10 | 0x0000000a | 0000 00000 000000 000000 00000 0010 10 |
  |   5 |         14 | 0x0000000e | 0000 00000 000000 000000 00000 0011 10 |
  |   6 |         18 | 0x00000012 | 0000 00000 000000 000000 00000 0100 10 |
  |  .  |     .      |      .     |                    .                   |
  |  .  |     .      |      .     |                    .                   |
  |  .  |     .      |      .     |                    .                   |
  | 113 |  960562338 | 0x394104a2 | 0011 10010 100000 100000 10010 1000 10 |
  | 114 | 1228997794 | 0x494104a2 | 0100 10010 100000 100000 10010 1000 10 |
  | 115 | 1497433250 | 0x594104a2 | 0101 10010 100000 100000 10010 1000 10 |
  | 116 | 1765868706 | 0x694104a2 | 0110 10010 100000 100000 10010 1000 10 |
  | 117 | 2034304162 | 0x794104a2 | 0111 10010 100000 100000 10010 1000 10 |
  | 118 | 2302739618 | 0x894104a2 | 1000 10010 100000 100000 10010 1000 10 |
  |-----|------------|------------|----------------------------------------|

Prog

(C++) typedef unsigned char Shell; uint32_t a(Shell s1 = 0x0, Shell s2 = 0x0, Shell s3 = 0x0, Shell s4 = 0x0, Shell s5 = 0x0, Shell s6 = 0x0, Shell s7 = 0x0) {return (uint32_t)s1 + ((uint32_t)s2 << 2) + ((uint32_t)s3 << 6) + ((uint32_t)s4 << 11) + ((uint32_t)s5 << 17) + ((uint32_t)s6 << 23) + ((uint32_t)s7 << 28); }

Crossrefs

Cf. A333997, A168208, A093907.

Sequence in context: A122905 A132417 A103747 * A290490 A182991 A278568

Adjacent sequences: A333659 A333660 A333661 * A333663 A333664 A333665

Keyword

fini,nonn,full

Author

Zachary Russ, Sep 02 2020

Status

approved