NMR Boltzmann distribution - population

	A	B	C	D	E
1	label	values	unit	1H	13C
2	Larmor
3	Frequency 1H	400	MHz	400	100.6029478
4	Magnetic field (B)	9.4	T	9.4	9.4
5	ɣ	2.68E+08	rad / (s T)	2.68E+08	2.68E+08
6	ℎ	6.62E-34	m^2 kg / s	6.62E-34	6.62E-34
7	ℏ	1.04E-33	m^2 kg / (s rad)	1.04E-33	1.04E-33
8	ΔE = ɣ ℏ B	2.61E-24		2.61E-24	6.57E-25
9
10
11	Boltzmann distribution
12	Temperature (T)	300	K	300	300
13	avogadro (A)	6.02E+23	mol	6.02E+23	6.02E+23
14	R	8.31	J / (mol * K)	8.31	8.31
15	k = R / A	1.38E-23	J / K	1.38E-23	1.38E-23
16	P1 / P2 = exp (ΔE / (kT))	1.000631114		1.000631114	1.000158692
17
18	P1	0.5001577286		0.5001577286	0.5000396699
19	P2	0.4998422714		0.4998422714	0.4999603301
20	ΔP	0.032%		0.032%	0.008%
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