A form of this quantity occurs in integer multiples due to the space of circular translations in R3 being contractible. By using this quantity’s components as the basis for a Lie algebra, one can derive the Wigner D-matrix. This quantity’s inner product with itself can be described as the Casimir element of the Lie (“lee”) algebra su(2, C) (“S-U-two-C”). The values of this quantity span the group SO(3) (“S-O-three”). This quantity’s components commute with its square but not with each other. The coupling of this quantity is described by the Clebsch–Gordan coefficients. This quantity is equal to integer multiples of h-bar in the Bohr model. In atoms, this quantity is characterized by the azimuthal and magnetic quantum numbers. For 10 points, name this quantity that comes in “orbital” and “intrinsic” forms, the latter of which is spin. ■END■
| California | 2025-02-01 | Y | 3 | 100% | 0% | 33% | 93.67 |
| Florida | 2025-02-01 | Y | 3 | 100% | 0% | 0% | 108.33 |
| Midwest | 2025-02-01 | Y | 6 | 100% | 0% | 0% | 78.83 |
| Overflow | 2025-02-01 | Y | 4 | 75% | 0% | 0% | 85.67 |
| Pacific Northwest | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 77.00 |
| South Central | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 106.50 |
| Southeast | 2025-02-01 | Y | 3 | 100% | 0% | 67% | 131.67 |
| UK | 2025-02-01 | Y | 5 | 100% | 0% | 40% | 96.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Andrew Wang | Illinois A | Illinois C | 54 | 10 |
| Swapnil Garg | UC Berkeley A | Claremont B | 54 | 10 |
| Delia Cropper | Oxford A | LSE | 56 | 10 |
| Cormac Stephenson | Southampton A | Warwick B | 71 | -5 |
| Leo Law | Florida A | UCF B | 77 | 10 |
| Yash Mandavia | Illinois B | Chicago A | 77 | 10 |
| Linus Luu | Cambridge D | Imperial B | 77 | 10 |
| Matthew Wang | UBC | UW B | 77 | 10 |
| Catherine Welch | UW A | Alberta | 77 | 10 |
| Alex Akridge | Indiana A | Missoui S&T | 79 | 10 |
| James Byrne | Bristol | Cambridge B | 79 | 10 |
| Bryan Ugaz | ASU | Texas A | 79 | 10 |
| Michał Gerasimiuk | Stanford B | Notre Dame B | 82 | 10 |
| Parker McCoig | Tennessee A | Alabama A | 82 | -5 |
| John John Groger | WashU B | Chicago C | 87 | 10 |
| Maya Kvaratskhelia | Notre Dame A | Purdue | 87 | 10 |
| Ezra Santos | Chicago B | WashU A | 88 | 10 |
| Wyatt Curry | Missouri | Indiana B | 88 | 10 |
| Sharath Narayan | Northwestern A | Northwestern B | 88 | 10 |
| Rohan Shelke | UC Berkeley B | UCSD | 93 | 10 |
| Bill Zhao | Florida B | Florida State A | 114 | 10 |
| Jacob Price | Sheffield | Oxford C | 114 | -5 |
| Samir Sarma | Georgia Tech D | Bruin A | 114 | -5 |
| Kevin Park | Claremont A | UCLA | 125 | -5 |
| Arunn Sankar | Georgia Tech B | Louisville A | 127 | 10 |
| Clete Reinberger | Valencia A | UCF C | 134 | 10 |
| Brielle Rach | Iowa | Georgetown B | 134 | 0 |
| Ben Horning | Georgetown B | Iowa | 134 | 0 |
| Kaiser Xiao | UCLA | Claremont A | 134 | 10 |
| Jackson McDonald | Alabama A | Tennessee A | 134 | 10 |
| Benjamin Liu | Oxford C | Sheffield | 134 | 10 |
| Tobin Payne | Warwick B | Southampton A | 134 | 10 |
| Viraj Negandhi | Texas B | TAMU | 134 | 10 |
| Jack Lewis | Bruin A | Georgia Tech D | 134 | 10 |