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A333997
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Number of electrons per subshell in element Z=n expressed as a 56-bit unsigned integer.
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2
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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
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OFFSET
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1,2
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COMMENTS
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This is a memory-efficient way of encoding the number of electrons per subshell of all known elements.
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LINKS
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Zachary Russ, Table of n, a(n) for n = 1..118
Wikipedia, Electron configurations of the elements (data page)
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EXAMPLE
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|-----|----------------------------------------------------------------------------|
| | 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 |
|-----|----------------------------------------------------------------------------|
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PROG
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(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); }
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CROSSREFS
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Cf. A333662, A168208, A093907.
Sequence in context: A057434 A333170 A217381 * A162581 A061547 A218791
Adjacent sequences: A333994 A333995 A333996 * A333998 A333999 A334000
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KEYWORD
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fini,nonn,full
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AUTHOR
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Zachary Russ, Sep 05 2020
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STATUS
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approved
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