paramagnetism - 2025 ACF Winter

Question

In classical mechanics, this phenomenon can be modelled via the Langevin function. For 10 points each:

[10e] Name this form of magnetism exhibited by materials that are attracted by an external magnetic field but do not retain magnetism when the field is removed. This form of magnetism is contrasted with diamagnetism and ferromagnetism.

ANSWER: paramagnetism [or word forms like paramagnetic]

[10h] The quantum theoretical analogue of the Langevin function is named for this scientist. In crystals, this scientist names cells in reciprocal space that are used to calculate electronic band structure.

ANSWER: Léon Nicolas Brillouin (“bree-WANN”) [accept first Brillouin zone]

[10m] Expanding the Langevin function to first-order in the weak field limit recovers this law, which states that magnetic susceptibility is inversely proportional to temperature.

ANSWER: Curie’s law [or Curie–Weiss law]

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Summary


California	Main	Y	5	22.00	100%	60%	60%
Canada	Main	Y	5	14.00	100%	40%	0%
Florida	Main	Y	12	12.50	83%	25%	17%
Great Lakes	Main	Y	5	10.00	40%	40%	20%
Lower Mid-Atlantic	Main	Y	7	14.29	86%	43%	14%
Midwest	Main	Y	8	11.25	88%	25%	0%
North	Main	Y	10	17.00	100%	50%	20%
Northeast	Main	Y	5	18.00	80%	80%	20%
Overflow	Main	Y	4	12.50	75%	25%	25%
Pacific Northwest	Main	Y	10	15.00	90%	50%	10%
South Central	Main	Y	5	12.00	100%	0%	20%
Southeast	Main	Y	1	20.00	100%	100%	0%
UK	Main	Y	4	22.50	100%	75%	50%
Upper Mid-Atlantic	Main	Y	7	20.00	100%	86%	14%
Upstate NY	Main	Y	8	16.25	100%	38%	25%
2025 ACF Nationals	2025-08-09	Y	3	23.33	100%	67%	67%
2024 ARCADIA at UC Berkeley	04/19/2025	Y	4	12.50	75%	50%	0%

Data


Berkeley B	Berkeley D	10	10	0	20
Berkeley E	UCSC	10	10	10	30
Stanford B	Berkeley F	10	0	10	20
Berkeley A	Stanford C	10	0	0	10
USC	Claremont Scripps	10	0	0	10
UCLA B	UCLA C	10	0	10	20
UCI	UCSB	10	0	10	20
UCSD Two Running Violet V Forms	Claremont Pitzer	10	0	0	10
UCSD What Hath God Wrought	UCSD Vices and Virtues	10	0	0	10
Berkeley C	Stanford A	10	10	10	30
Guelph A	Ottawa	10	0	0	10
McMaster A	McMaster B	10	0	0	10
Toronto G	Queen's B	10	0	0	10
Toronto A	McGill A	10	10	10	30
Toronto D	Toronto C	10	0	0	10
Toronto I	Toronto F	0	0	0	0
McGill B	Toronto H	10	0	10	20
Toronto E	Toronto J	10	0	0	10
Western Ontario	Toronto K	10	0	0	10
Toronto B	Toronto Metropolitan	10	10	0	20
Waterloo	McMaster C	0	0	0	0
Queen's A	Guelph B	10	0	10	20
UCF A	UF B	10	10	10	30
ERAU A	UF A	0	0	0	0
USF	Melbourne A	0	0	0	0
UCF B	UF C	10	0	0	10
UF E	ERAU B	0	0	10	10
CWRU A	Kenyon A	10	10	10	30
OSU B	CWRU D	10	0	0	10
Pitt A	Kenyon B	10	0	10	20
MSU A	OSU A	10	0	0	10
Pitt C	OSU C	0	0	0	0
OSU D	MSU B	10	0	10	20
Pitt B	CWRU C	10	0	0	10
North Carolina C	Clemson A	10	0	0	10
South Carolina A	Clemson B	10	0	0	10
Tennessee A	North Carolina A	10	0	10	20
North Carolina B	Roanoke	10	0	10	20
Liberty C	Tennessee B	0	0	0	0
Tusculum	Liberty B	10	0	0	10
Virginia Tech B	Virginia A	10	0	0	10
Virginia Tech A	Virginia B	10	0	0	10
Johns Hopkins C	George Mason B	10	0	0	10
Penn A	George Mason C	10	10	10	30
Maryland B	George Washington B	10	0	10	20
Catholic University	Johns Hopkins B	10	0	0	10
NYU A	Maryland D	10	10	10	30
NYU B	Georgetown B	10	0	10	20
Georgetown A	UMBC A	10	0	0	10
Penn B	VCU A	10	0	0	10
Maryland A	George Mason A	10	0	0	10
Maryland C	Notre Dame E	10	0	10	20
Columbia A	Rutgers B	10	0	10	20
Lehigh A	Lehigh B	0	0	0	0
Rutgers C	Columbia C	10	0	10	20
Swarthmore A	Rowan A	10	10	10	30
Princeton A	Vassar A	10	0	10	20
Truman State	Missouri A	10	0	0	10
WashU A	SIUE	10	10	10	30
WashU B	WashU D	10	0	0	10
Missouri B	William Woods	0	0	0	0
Illinois B	Chicago A	10	0	10	20
Chicago B	Indiana A	10	0	10	20
Illinois A	Notre Dame C	10	10	0	20
Notre Dame A	Illinois C	10	0	10	20
Chicago C	Indiana B	10	0	10	20
Louisville A	Michigan A	10	0	0	10
Michigan C	Notre Dame B	10	0	0	10
Michigan D	Purdue A	10	0	0	10
Purdue B	Chicago D	10	0	10	20
Purdue C	UIC	0	0	0	0
Macalester B	Nebraska	10	0	0	10
Minnesota A	St. Thomas	10	10	0	20
Minnesota B	Iowa State	10	0	0	10
Minnesota C	Macalester A	10	0	0	10
Carleton	Wisconsin	10	0	0	10
Yale B	Bowdoin A	10	0	10	20
Simon Fraser	Alberta	10	10	10	30
British Columbia B	British Columbia A	10	0	0	10
British Columbia D	British Columbia C	10	10	10	30
Washington B	Washington A	10	0	10	20
Alberta B	Tulsa	10	0	10	20
Arizona State A	UTD A	10	10	10	30
McGill D	Arizona State B	10	0	10	20
Northwestern C	Ohio	10	0	0	10
Texas A	Iowa	10	0	10	20
Northwestern B	Texas B	10	0	10	20
Northwestern A	UCO	10	0	10	20
Georgia Tech A	Bruin A	10	10	0	20
Auburn A	Sewanee A	10	10	0	20
Georgia Tech D	UAB A	10	0	0	10
Georgia Tech B	Huntsville A	10	0	10	20
Auburn B	Huntsville B	10	0	10	20
Alabama B	Vanderbilt A	10	0	10	20
Alabama A	Vanderbilt B	10	0	0	10
Georgia Tech C	Mississippi State A	10	0	0	10
Bristol A	Cambridge A	10	10	10	30
Warwick B	LSE B	10	0	0	10
Manchester B	Edinburgh B	10	10	10	30
Cornell-DII	RIT A	10	0	10	20
Binghamton A	RIT B	10	0	10	20
Rochester	Binghamton B	10	0	0	10
ESF	Syracuse	0	0	0	0