Lecture 1: Nuclear magnetic resonance
Magnetic moment
Angular precession frequency uj
M = (fii + fa + p3 + /M + fib + Po + • • m)/y Magnetization
Spherical coordinates
Longitudinal polarization
Flipping magnetization
Transverse polarization
(8xx	0	0 1		(1	0				-1	0		
0	Syy	0	= 5,	0	1	0			0	-1	0	
{ o	0	ôzz ,		[0	0				0	0		V
+
5| = |Tr{5} = §(«5XX + <5yy + 5ZZ) <5a = ±Aj = ± (2«5ZZ - (Sxx + 5yy)) (5r = ^r]5a5 = \{8Xx - Syy)
Be = SiB0
<0^ O
v1/
+ SaB0
1 3 sin tfcostfcosc^ ^ 3 sin i^cos^sin <p
\
I
+ SrB0
3 cos2ů - 1
1 -(2cos2x - 1) sin i? cosi? cos ip + 2sin%cosxsini9sin^x -(2cos2x - 1) sin i? cos ů s\r\ (p - 2 sin x cos % sin # cos <p
+(2cos2x- l)sin2i?