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 |
| Yash Mandavia | Illinois B | Chicago A | 77 | 10 |
| Matthew Wang | UBC | UW B | 77 | 10 |
| Catherine Welch | UW A | Alberta | 77 | 10 |
| Linus Luu | Cambridge D | Imperial B | 77 | 10 |
| Leo Law | Florida A | UCF B | 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 |
| Maya Kvaratskhelia | Notre Dame A | Purdue | 87 | 10 |
| John John Groger | WashU B | Chicago C | 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 |
| Samir Sarma | Georgia Tech D | Bruin A | 114 | -5 |
| Jacob Price | Sheffield | Oxford C | 114 | -5 |
| Kevin Park | Claremont A | UCLA | 125 | -5 |
| Arunn Sankar | Georgia Tech B | Louisville A | 127 | 10 |
| Kaiser Xiao | UCLA | Claremont A | 134 | 10 |
| Jack Lewis | Bruin A | Georgia Tech D | 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 |
| Clete Reinberger | Valencia A | UCF C | 134 | 10 |
| Brielle Rach | Iowa | Georgetown B | 134 | 0 |
| Ben Horning | Georgetown B | Iowa | 134 | 0 |
| Viraj Negandhi | Texas B | TAMU | 134 | 10 |